Subgroups — D₅₃×#3519 #28292073

Order 13568.

8774 conjugacy classes of subgroups.

The subgroup lattice has 2876 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288750	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288749	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288748	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288747	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288746	C₂	1	1	yes	maximal, characteristic, complemented
6	#20288745	C₂	1	2	yes	maximal, complemented
7	#20288744	C₂	1	2	yes	maximal, complemented
8	#20288743	C₂	1	2	yes	maximal, complemented
9	#20288742	C₂	1	1	yes	maximal, characteristic, complemented
10	#20288741	C₂	1	2	yes	maximal, complemented
11	#20288740	C₂	1	2	yes	maximal, complemented
12	#20288739	C₂	1	4	yes	maximal, complemented
13	#20288738	C₂	1	1	yes	maximal, characteristic, complemented
14	#20288737	C₂	1	2	yes	maximal, complemented
15	#20288736	C₂	1	4	yes	maximal, complemented
16	#20288735	C₂	1	2	yes	maximal, complemented
17	#20288734	C₂	1	2	yes	maximal, complemented
18	#555×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#554×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
20	#553×D₅₃	C₂	1	2	yes	maximal, complemented
21	#553×D₅₃	C₂	1	2	yes	maximal, complemented
22	#550×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
23	#546×D₅₃	C₂	1	2	yes	maximal, complemented
24	#546×D₅₃	C₂	1	4	yes	maximal, complemented
25	D₄²×D₅₃	C₂	1	2	yes	maximal, complemented
26	D₄²×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
27	#540×D₅₃	C₂	1	2	yes	maximal, complemented
28	#538×D₅₃	C₂	1	4	yes	maximal, complemented
29	#532×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#529×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	#525×D₅₃	C₂	1	2	yes	maximal, complemented
32	C₂×#121×D₅₃	C₂	1	2	yes	maximal, complemented
33	#518×D₅₃	C₂	1	2	yes	maximal, complemented
34	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3519	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
37	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
38	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
39	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
40	C₂²×D₄×D₅₃	C₂²	1	2	yes	complemented
41	C₂²×D₄×D₅₃	C₂²	1	4	yes	complemented
42	C₂³×C₄×D₅₃	C₂²	1	2	yes	complemented
43	#16811339	C₂²	1	1	yes	characteristic, complemented
44	#16811338	C₂²	1	1	yes	characteristic, complemented
45	#16811338	C₂²	1	1	yes	characteristic, complemented
46	#16811337	C₂²	1	2	yes	complemented
47	#16811337	C₂²	1	2	yes	complemented
48	#16811336	C₂²	1	2	yes	complemented
49	#16811336	C₂²	1	2	yes	complemented
50	#16811335	C₂²	1	4	yes	complemented
51	#16811334	C₂²	1	1	yes	characteristic, complemented
52	#16811333	C₂²	1	1	yes	characteristic, complemented
53	#16811332	C₂²	1	2	yes	complemented
54	#16811331	C₂²	1	2	yes	complemented
55	#16811330	C₂²	1	1	yes	characteristic, complemented
56	#16811329	C₂²	1	2	yes	complemented
57	#16811328	C₂²	1	2	yes	complemented
58	#16811327	C₂²	1	4	yes	complemented
59	#16811326	C₂²	1	2	yes	complemented
60	#16811326	C₂²	1	2	yes	complemented
61	#16811325	C₂²	1	2	yes	complemented
62	#16811325	C₂²	1	2	yes	complemented
63	#16811324	C₂²	1	4	yes	complemented
64	#16811324	C₂²	1	4	yes	complemented
65	#16811323	C₂²	1	2	yes	complemented
66	#16811323	C₂²	1	2	yes	complemented
67	#16811322	C₂²	1	4	yes	complemented
68	#16811322	C₂²	1	4	yes	complemented
69	#16811321	C₂²	1	2	yes	complemented
70	#16811321	C₂²	1	2	yes	complemented
71	#16811320	C₂²	1	2	yes	complemented
72	#16811320	C₂²	1	2	yes	complemented
73	#16811319	C₂²	1	2	yes	complemented
74	#16811319	C₂²	1	2	yes	complemented
75	#16811318	C₂²	1	4	yes	complemented
76	#16811318	C₂²	1	4	yes	complemented
77	#16811317	C₂²	1	2	yes	complemented
78	#16811317	C₂²	1	2	yes	complemented
79	#16811316	C₂²	1	4	yes	complemented
80	#16811316	C₂²	1	4	yes	complemented
81	#16811295	C₂²	1	1	yes	characteristic, complemented
82	#16811294	C₂²	1	2	yes	complemented
83	#16811294	C₂²	1	1	yes	characteristic, complemented
84	#16811293	C₂²	1	2	yes	complemented
85	#16811293	C₂²	1	1	yes	characteristic, complemented
86	#16811292	C₂²	1	2	yes	complemented
87	#16811291	C₂²	1	4	yes	complemented
88	#16811291	C₂²	1	2	yes	complemented
89	#16811270	C₂²	1	2	yes	complemented
90	#16811270	C₂²	1	4	yes	complemented
91	#16811269	C₂²	1	4	yes	complemented
92	#16811269	C₂²	1	2	yes	complemented
93	#16811268	C₂²	1	4	yes	complemented
94	#16811268	C₂²	1	2	yes	complemented
95	#16811267	C₂²	1	4	yes	complemented
96	#16811267	C₂²	1	2	yes	complemented
97	#16811266	C₂²	1	4	yes	complemented
98	#16811266	C₂²	1	2	yes	complemented
99	#16811265	C₂²	1	4	yes	complemented
100	#16811265	C₂²	1	4	yes	complemented
101	#16811265	C₂²	1	4	yes	complemented
102	#16811264	C₂²	1	2	yes	complemented
103	#16811264	C₂²	1	4	yes	complemented
104	#16811263	C₂²	1	4	yes	complemented
105	#16811263	C₂²	1	4	yes	complemented
106	#16811263	C₂²	1	4	yes	complemented
107	#16811262	C₂²	1	4	yes	complemented
108	#16811262	C₂²	1	4	yes	complemented
109	#16811262	C₂²	1	4	yes	complemented
110	#16811261	C₂²	1	2	yes	complemented
111	#16811261	C₂²	1	4	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811260	C₂²	1	4	yes	complemented
114	#16811260	C₂²	1	4	yes	complemented
115	D₄×D₂₁₂	C₂²	1	2	yes	complemented
116	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
117	D₄×D₂₁₂	C₂²	1	2	yes	complemented
118	D₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
119	#16811258	C₂²	1	1	yes	characteristic, complemented
120	#16811258	C₂²	1	2	yes	complemented
121	#16811257	C₂²	1	2	yes	complemented
122	#16811257	C₂²	1	4	yes	complemented
123	#16811257	C₂²	1	2	yes	complemented
124	#16811257	C₂²	1	2	yes	complemented
125	#16811257	C₂²	1	2	yes	complemented
126	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
127	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
128	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
129	D₄×C₂²⋊D₅₃	C₂²	1	4	yes	complemented
130	D₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
131	#16811255	C₂²	1	4	yes	complemented
132	#16811255	C₂²	1	4	yes	complemented
133	#16811255	C₂²	1	4	yes	complemented
134	#16811229	C₂²	1	2	yes	complemented
135	#16811228	C₂²	1	2	yes	complemented
136	#16811227	C₂²	1	2	yes	complemented
137	#16811226	C₂²	1	2	yes	complemented
138	#16811226	C₂²	1	2	yes	complemented
139	#16811225	C₂²	1	4	yes	complemented
140	#16811225	C₂²	1	4	yes	complemented
141	#16811224	C₂²	1	2	yes	complemented
142	#16811224	C₂²	1	2	yes	complemented
143	#16811223	C₂²	1	4	yes	complemented
144	#16811223	C₂²	1	4	yes	complemented
145	#16811213	C₂²	1	4	yes	complemented
146	#16811212	C₂²	1	4	yes	complemented
147	#16811212	C₂²	1	4	yes	complemented
148	#16811211	C₂²	1	4	yes	complemented
149	#16811210	C₂²	1	4	yes	complemented
150	#16811209	C₂²	1	4	yes	complemented
151	#16811209	C₂²	1	4	yes	complemented
152	#16811208	C₂²	1	4	yes	complemented
153	#16811208	C₂²	1	4	yes	complemented
154	#16811207	C₂²	1	4	yes	complemented
155	#16811207	C₂²	1	4	yes	complemented
156	#16811206	C₂²	1	4	yes	complemented
157	#16811206	C₂²	1	4	yes	complemented
158	#16811205	C₂²	1	4	yes	complemented
159	#16811205	C₂²	1	4	yes	complemented
160	#16811174	C₂²	1	1	yes	characteristic, complemented
161	#16811173	C₂²	1	1	yes	characteristic, complemented
162	#16811172	C₂²	1	2	yes	complemented
163	#16811171	C₂²	1	1	yes	characteristic, complemented
164	#16811170	C₂²	1	2	yes	complemented
165	#16811170	C₂²	1	2	yes	complemented
166	#16811169	C₂²	1	2	yes	complemented
167	#16811168	C₂²	1	2	yes	complemented
168	#16811168	C₂²	1	2	yes	complemented
169	C₄⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
170	#127×D₅₃	C₂²	1	2	yes	complemented
171	#127×D₅₃	C₂²	1	1	yes	characteristic, complemented
172	#16811160	C₂²	1	1	yes	characteristic, complemented
173	#16811159	C₂²	1	1	yes	characteristic, complemented
174	#16811158	C₂²	1	1	yes	characteristic, complemented
175	#16811157	C₂²	1	1	yes	characteristic, complemented
176	#16811156	C₂²	1	2	yes	complemented
177	#16811155	C₂²	1	1	yes	characteristic, complemented
178	#16811154	C₂²	1	1	yes	characteristic, complemented
179	#16811153	C₂²	1	2	yes	complemented
180	#16811152	C₂²	1	1	yes	characteristic, complemented
181	#16811151	C₂²	1	2	yes	complemented
182	#16811150	C₂²	1	2	yes	complemented
183	#126×D₅₃	C₂²	1	2	yes	complemented
184	#126×D₅₃	C₂²	1	4	yes	complemented
185	#125×D₅₃	C₂²	1	2	yes	complemented
186	#125×D₅₃	C₂²	1	1	yes	characteristic, complemented
187	#124×D₅₃	C₂²	1	2	yes	complemented
188	#124×D₅₃	C₂²	1	4	yes	complemented
189	#124×D₅₃	C₂²	1	1	yes	characteristic, complemented
190	#16811136	C₂²	1	2	yes	complemented
191	#16811136	C₂²	1	2	yes	complemented
192	#16811135	C₂²	1	2	yes	complemented
193	#16811134	C₂²	1	2	yes	complemented
194	#16811133	C₂²	1	2	yes	complemented
195	#16811133	C₂²	1	2	yes	complemented
196	#16811132	C₂²	1	4	yes	complemented
197	#16811132	C₂²	1	4	yes	complemented
198	#16811131	C₂²	1	4	yes	complemented
199	#16811130	C₂²	1	2	yes	complemented
200	#16811129	C₂²	1	4	yes	complemented
201	#123×D₅₃	C₂²	1	4	yes	complemented
202	#123×D₅₃	C₂²	1	4	yes	complemented
203	#123×D₅₃	C₂²	1	4	yes	complemented
204	#123×D₅₃	C₂²	1	2	yes	complemented
205	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
206	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
207	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
208	C₂×#13133192	C₂²	1	2	yes	complemented
209	C₂×#13133191	C₂²	1	2	yes	complemented
210	C₂×#13133190	C₂²	1	4	yes	complemented
211	C₂×#13133189	C₂²	1	4	yes	complemented
212	C₂×#13133188	C₂²	1	2	yes	complemented
213	#121×D₅₃	C₂²	1	1	yes	characteristic
214	#121×D₅₃	C₂²	1	2	yes	complemented
215	#121×D₅₃	C₂²	1	4	yes	complemented
216	#121×D₅₃	C₂²	1	4	yes	complemented
217	#121×D₅₃	C₂²	1	4	yes	complemented
218	#121×D₅₃	C₂²	1	2	yes	complemented
219	#121×D₅₃	C₂²	1	2	yes	complemented
220	#121×D₅₃	C₂²	1	4	yes	complemented
221	#121×D₅₃	C₂²	1	2	yes	complemented
222	#121×D₅₃	C₂²	1	2	yes	complemented
223	#121×D₅₃	C₂²	1	4	yes	complemented
224	#121×D₅₃	C₂²	1	2	yes	complemented
225	#121×D₅₃	C₂²	1	2	yes	complemented
226	#121×D₅₃	C₂²	1	2	yes	complemented
227	#121×D₅₃	C₂²	1	2	yes	complemented
228	#121×D₅₃	C₂²	1	4	yes	complemented
229	#121×D₅₃	C₂²	1	4	yes	complemented
230	#121×D₅₃	C₂²	1	2	yes	complemented
231	#121×D₅₃	C₂²	1	2	yes	complemented
232	#120×D₅₃	C₂²	1	4	yes	complemented
233	#120×D₅₃	C₂²	1	4	yes	complemented
234	#120×D₅₃	C₂²	1	4	yes	complemented
235	#16811098	C₂²	1	2	yes	complemented
236	#16811097	C₂²	1	2	yes	complemented
237	#16811097	C₂²	1	2	yes	complemented
238	#16811096	C₂²	1	4	yes	complemented
239	#16811096	C₂²	1	4	yes	complemented
240	#16811095	C₂²	1	2	yes	complemented
241	#16811095	C₂²	1	2	yes	complemented
242	#16811095	C₂²	1	4	yes	complemented
243	#16811095	C₂²	1	4	yes	complemented
244	#16811095	C₂²	1	2	yes	complemented
245	#16811095	C₂²	1	2	yes	complemented
246	C₄×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
247	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
248	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
249	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
250	C₂×C₄×C₂²⋊D₅₃	C₂²	1	2	yes	complemented
251	C₂×#13133177	C₂²	1	2	yes	complemented
252	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
253	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
254	C₄×D₄×D₅₃	C₂²	1	2	yes	—
255	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
256	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
257	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
258	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
259	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
260	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
261	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
262	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
263	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
264	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
265	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
266	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
267	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
268	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
269	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
270	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
271	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
272	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
273	#117×D₅₃	C₂²	1	2	yes	complemented
274	#117×D₅₃	C₂²	1	2	yes	complemented
275	#117×D₅₃	C₂²	1	2	yes	complemented
276	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
277	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
278	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
279	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
281	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
282	C₅₃×#555	C₂²	1	1	yes	characteristic, complemented
283	C₅₃×#554	C₂²	1	1	yes	characteristic, complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#553	C₂²	1	2	yes	complemented
286	C₅₃×#550	C₂²	1	1	yes	characteristic, complemented
287	C₅₃×#546	C₂²	1	4	yes	complemented
288	C₅₃×#546	C₂²	1	2	yes	complemented
289	D₄²×C₅₃	C₂²	1	2	yes	complemented
290	D₄²×C₅₃	C₂²	1	1	yes	characteristic, complemented
291	C₅₃×#540	C₂²	1	2	yes	complemented
292	C₅₃×#538	C₂²	1	4	yes	complemented
293	C₅₃×#532	C₂²	1	1	yes	characteristic, complemented
294	C₅₃×#529	C₂²	1	1	yes	characteristic, complemented
295	C₅₃×#525	C₂²	1	2	yes	complemented
296	C₂×#121×C₅₃	C₂²	1	2	yes	complemented
297	C₅₃×#518	C₂²	1	2	yes	complemented
298	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	2	yes	—
300	C₂⁴×D₅₃	C₂³	1	4	yes	—
301	C₂×#11719949	C₂³	1	2	yes	complemented
302	C₂×#11719949	C₂³	1	2	yes	complemented
303	C₂×#11719945	C₂³	1	2	yes	complemented
304	C₂×#11719945	C₂³	1	4	yes	complemented
305	C₂×#11719945	C₂³	1	4	yes	complemented
306	C₂×#11719945	C₂³	1	2	yes	complemented
307	C₂×#11719947	C₂³	1	2	yes	complemented
308	C₂×#11719947	C₂³	1	4	yes	complemented
309	C₂×#11719947	C₂³	1	4	yes	complemented
310	C₂×#11719947	C₂³	1	2	yes	complemented
311	#41×D₅₃	—	4	8	no	—
312	#41×D₅₃	—	4	8	no	—
313	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
314	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
315	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
316	C₂²×D₂₁₂	C₂³	1	2	yes	—
317	C₂²×D₂₁₂	C₂³	1	4	yes	complemented
318	C₂²×D₂₁₂	C₂³	1	2	yes	complemented
319	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
320	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	—
321	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
322	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
323	C₂²×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
324	C₂×D₄×D₅₃	—	2	8	no	—
325	C₂×D₄×D₅₃	—	2	16	no	—
326	C₂×D₄×D₅₃	—	4	8	no	—
327	C₂×D₄×D₅₃	—	4	16	no	—
328	C₂×D₄×D₅₃	C₂³	1	2	yes	—
329	C₂×D₄×D₅₃	C₂³	1	4	yes	—
330	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂×D₄×D₅₃	C₂³	1	2	yes	—
332	C₂×D₄×D₅₃	C₂³	1	2	yes	—
333	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
335	C₂×D₄×D₅₃	C₂³	1	4	yes	—
336	C₂×D₄×D₅₃	C₂³	1	2	yes	—
337	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₅₃	C₂³	1	2	yes	—
339	C₂×D₄×D₅₃	C₂³	1	4	yes	—
340	C₂×D₄×D₅₃	C₂³	1	2	yes	—
341	C₂×D₄×D₅₃	C₂³	1	2	yes	—
342	C₂×D₄×D₅₃	C₂³	1	4	yes	—
343	C₂×D₄×D₅₃	C₂³	1	2	yes	—
344	C₂×D₄×D₅₃	C₂³	1	4	yes	—
345	C₂×D₄×D₅₃	C₂³	1	4	yes	—
346	C₂×D₄×D₅₃	C₂³	1	4	yes	—
347	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
349	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
350	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
351	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
352	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
353	C₂×D₄×D₅₃	C₂³	1	4	yes	complemented
354	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
355	C₂³×Dic₅₃	C₂³	1	2	yes	complemented
356	C₂²×C₄×D₅₃	—	4	8	no	—
357	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
358	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
359	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
360	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
361	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
362	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
363	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
364	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
365	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
366	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
367	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
368	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
369	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
370	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
371	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
372	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
373	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
374	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
375	#13133217	C₂³	1	1	yes	characteristic, complemented
376	#13133216	C₂³	1	2	yes	complemented
377	#13133216	C₂³	1	2	yes	complemented
378	#13133215	C₂³	1	2	yes	complemented
379	#13133214	C₂³	1	1	yes	characteristic, complemented
380	#13133214	C₂³	1	2	yes	complemented
381	#13133213	C₂³	1	2	yes	complemented
382	#13133213	C₂³	1	4	yes	complemented
383	#13133213	C₂³	1	2	yes	complemented
384	#13133213	C₂³	1	4	yes	complemented
385	#13133213	C₂³	1	2	yes	complemented
386	#13133213	C₂³	1	2	yes	complemented
387	#13133213	C₂³	1	2	yes	complemented
388	#13133212	C₂³	1	4	yes	complemented
389	#13133212	C₂³	1	4	yes	complemented
390	#13133212	C₂³	1	4	yes	complemented
391	#13133212	C₂³	1	2	yes	complemented
392	#13133212	C₂³	1	2	yes	complemented
393	#13133212	C₂³	1	2	yes	complemented
394	#13133211	C₂³	1	4	yes	complemented
395	#13133211	C₂³	1	2	yes	complemented
396	#13133210	C₂³	1	4	yes	complemented
397	#13133210	C₂³	1	4	yes	complemented
398	#13133210	C₂³	1	4	yes	complemented
399	#13133210	C₂³	1	2	yes	complemented
400	#13133210	C₂³	1	2	yes	complemented
401	#13133210	C₂³	1	2	yes	complemented
402	#13133209	C₂³	1	1	yes	characteristic, complemented
403	#13133209	C₂³	1	2	yes	complemented
404	#13133208	C₂³	1	1	yes	characteristic, complemented
405	#13133208	C₂³	1	2	yes	complemented
406	#13133208	C₂³	1	1	yes	characteristic, complemented
407	#13133208	C₂³	1	2	yes	complemented
408	#13133207	C₂³	1	2	yes	complemented
409	#13133207	C₂³	1	4	yes	complemented
410	#13133207	C₂³	1	2	yes	complemented
411	#13133207	C₂³	1	4	yes	complemented
412	#13133206	C₂³	1	1	yes	characteristic, complemented
413	#13133206	C₂³	1	4	yes	complemented
414	#13133206	C₂³	1	2	yes	complemented
415	#13133205	C₂³	1	1	yes	characteristic, complemented
416	#13133205	C₂³	1	4	yes	complemented
417	#13133205	C₂³	1	2	yes	complemented
418	#13133204	C₂³	1	1	yes	characteristic, complemented
419	#13133204	C₂³	1	4	yes	complemented
420	#13133204	C₂³	1	2	yes	complemented
421	#13133203	C₂³	1	2	yes	complemented
422	#13133203	C₂³	1	4	yes	complemented
423	#13133203	C₂³	1	4	yes	complemented
424	#13133203	C₂³	1	4	yes	complemented
425	#13133203	C₂³	1	4	yes	complemented
426	#13133203	C₂³	1	2	yes	complemented
427	#13133203	C₂³	1	4	yes	complemented
428	#13133203	C₂³	1	4	yes	complemented
429	#13133202	C₂³	1	2	yes	complemented
430	#13133202	C₂³	1	4	yes	complemented
431	#13133202	C₂³	1	4	yes	complemented
432	#13133202	C₂³	1	2	yes	complemented
433	#13133202	C₂³	1	4	yes	complemented
434	#13133202	C₂³	1	4	yes	complemented
435	#13133202	C₂³	1	4	yes	complemented
436	#13133202	C₂³	1	4	yes	complemented
437	#13133201	C₂³	1	2	yes	complemented
438	#13133201	C₂³	1	4	yes	complemented
439	#13133201	C₂³	1	4	yes	complemented
440	#13133201	C₂³	1	4	yes	complemented
441	#13133200	C₂³	1	4	yes	complemented
442	#13133200	C₂³	1	4	yes	complemented
443	#13133200	C₂³	1	4	yes	complemented
444	#13133200	C₂³	1	2	yes	complemented
445	#13133199	C₂³	1	2	yes	complemented
446	#13133199	C₂³	1	4	yes	complemented
447	#13133199	C₂³	1	4	yes	complemented
448	#13133199	C₂³	1	2	yes	complemented
449	#13133199	C₂³	1	4	yes	complemented
450	#13133199	C₂³	1	4	yes	complemented
451	#13133199	C₂³	1	4	yes	complemented
452	#13133199	C₂³	1	4	yes	complemented
453	#13133198	C₂³	1	2	yes	complemented
454	#13133198	C₂³	1	4	yes	complemented
455	#13133198	C₂³	1	4	yes	complemented
456	#13133198	C₂³	1	4	yes	complemented
457	#13133197	C₂³	1	2	yes	complemented
458	#13133197	C₂³	1	4	yes	complemented
459	#13133197	C₂³	1	1	yes	characteristic, complemented
460	#13133196	C₂³	1	2	yes	complemented
461	#13133196	C₂³	1	4	yes	complemented
462	#13133196	C₂³	1	1	yes	characteristic, complemented
463	#13133195	C₂³	1	4	yes	complemented
464	#13133195	C₂³	1	4	yes	complemented
465	#13133195	C₂³	1	4	yes	complemented
466	#13133195	C₂³	1	2	yes	complemented
467	#13133194	C₂³	1	4	yes	complemented
468	#13133194	C₂³	1	4	yes	complemented
469	#13133194	C₂³	1	4	yes	complemented
470	#13133194	C₂³	1	2	yes	complemented
471	#13133193	C₂³	1	4	yes	complemented
472	#13133193	C₂³	1	2	yes	complemented
473	#13133193	C₂³	1	1	yes	characteristic, complemented
474	#13133192	C₂³	1	1	yes	characteristic
475	#13133192	C₂³	1	4	yes	complemented
476	#13133192	C₂³	1	4	yes	complemented
477	#13133192	C₂³	1	4	yes	complemented
478	#13133192	C₂³	1	2	yes	complemented
479	#13133192	C₂³	1	2	yes	complemented
480	#13133192	C₂³	1	2	yes	complemented
481	#13133192	C₂³	1	2	yes	complemented
482	#13133192	C₂³	1	2	yes	complemented
483	#13133192	C₂³	1	4	yes	complemented
484	#13133192	C₂³	1	2	yes	complemented
485	#13133192	C₂³	1	2	yes	complemented
486	#13133192	C₂³	1	4	yes	complemented
487	#13133191	C₂³	1	1	yes	characteristic
488	#13133191	C₂³	1	4	yes	complemented
489	#13133191	C₂³	1	4	yes	complemented
490	#13133191	C₂³	1	4	yes	complemented
491	#13133191	C₂³	1	2	yes	complemented
492	#13133191	C₂³	1	2	yes	complemented
493	#13133191	C₂³	1	2	yes	complemented
494	#13133191	C₂³	1	2	yes	complemented
495	#13133191	C₂³	1	2	yes	complemented
496	#13133191	C₂³	1	4	yes	complemented
497	#13133191	C₂³	1	2	yes	complemented
498	#13133191	C₂³	1	2	yes	complemented
499	#13133191	C₂³	1	4	yes	complemented
500	#13133190	C₂³	1	2	yes	—
501	#13133190	C₂³	1	4	yes	complemented
502	#13133190	C₂³	1	4	yes	complemented
503	#13133190	C₂³	1	4	yes	complemented
504	#13133190	C₂³	1	4	yes	complemented
505	#13133190	C₂³	1	4	yes	complemented
506	#13133190	C₂³	1	4	yes	complemented
507	#13133190	C₂³	1	4	yes	complemented
508	#13133190	C₂³	1	4	yes	complemented
509	#13133190	C₂³	1	4	yes	complemented
510	#13133190	C₂³	1	4	yes	complemented
511	#13133190	C₂³	1	4	yes	complemented
512	#13133190	C₂³	1	4	yes	complemented
513	#13133190	C₂³	1	4	yes	complemented
514	#13133190	C₂³	1	4	yes	complemented
515	#13133190	C₂³	1	4	yes	complemented
516	#13133190	C₂³	1	4	yes	complemented
517	#13133190	C₂³	1	4	yes	complemented
518	#13133189	C₂³	1	2	yes	—
519	#13133189	C₂³	1	4	yes	complemented
520	#13133189	C₂³	1	4	yes	complemented
521	#13133189	C₂³	1	4	yes	complemented
522	#13133189	C₂³	1	4	yes	complemented
523	#13133189	C₂³	1	4	yes	complemented
524	#13133189	C₂³	1	4	yes	complemented
525	#13133189	C₂³	1	4	yes	complemented
526	#13133189	C₂³	1	4	yes	complemented
527	#13133189	C₂³	1	4	yes	complemented
528	#13133189	C₂³	1	4	yes	complemented
529	#13133189	C₂³	1	4	yes	complemented
530	#13133189	C₂³	1	4	yes	complemented
531	#13133189	C₂³	1	4	yes	complemented
532	#13133189	C₂³	1	4	yes	complemented
533	#13133189	C₂³	1	4	yes	complemented
534	#13133189	C₂³	1	4	yes	complemented
535	#13133189	C₂³	1	4	yes	complemented
536	#13133188	C₂³	1	1	yes	characteristic
537	#13133188	C₂³	1	4	yes	complemented
538	#13133188	C₂³	1	2	yes	complemented
539	#13133188	C₂³	1	4	yes	complemented
540	#13133188	C₂³	1	4	yes	complemented
541	#13133188	C₂³	1	2	yes	complemented
542	#13133188	C₂³	1	4	yes	complemented
543	#13133188	C₂³	1	2	yes	complemented
544	#13133188	C₂³	1	2	yes	complemented
545	#13133188	C₂³	1	2	yes	complemented
546	#13133188	C₂³	1	2	yes	complemented
547	#13133188	C₂³	1	2	yes	complemented
548	#13133188	C₂³	1	4	yes	complemented
549	#13133187	C₂³	1	4	yes	complemented
550	#13133187	C₂³	1	4	yes	complemented
551	#13133187	C₂³	1	4	yes	complemented
552	#13133187	C₂³	1	4	yes	complemented
553	#13133187	C₂³	1	4	yes	complemented
554	#13133187	C₂³	1	4	yes	complemented
555	#13133187	C₂³	1	4	yes	complemented
556	#13133187	C₂³	1	4	yes	complemented
557	#13133187	C₂³	1	4	yes	complemented
558	#13133186	C₂³	1	4	yes	complemented
559	#13133186	C₂³	1	4	yes	complemented
560	#13133186	C₂³	1	4	yes	complemented
561	#13133185	C₂³	1	4	yes	complemented
562	#13133185	C₂³	1	4	yes	complemented
563	#13133185	C₂³	1	4	yes	complemented
564	#13133185	C₂³	1	4	yes	complemented
565	#13133185	C₂³	1	4	yes	complemented
566	#13133185	C₂³	1	4	yes	complemented
567	#13133185	C₂³	1	4	yes	complemented
568	#13133185	C₂³	1	4	yes	complemented
569	#13133185	C₂³	1	4	yes	complemented
570	Q₈×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
571	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
572	C₄×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
573	#13133182	C₂³	1	2	yes	complemented
574	#13133182	C₂³	1	1	yes	characteristic, complemented
575	C₄×D₂₁₂	C₂³	1	2	yes	—
576	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
577	C₄×D₂₁₂	C₂³	1	1	yes	characteristic
578	C₄×D₂₁₂	C₂³	1	4	yes	complemented
579	C₄×D₂₁₂	C₂³	1	2	yes	complemented
580	C₄×D₂₁₂	C₂³	1	4	yes	complemented
581	C₄×D₂₁₂	C₂³	1	2	yes	complemented
582	C₄×D₂₁₂	C₂³	1	2	yes	complemented
583	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
584	C₄×D₂₁₂	C₂³	1	2	yes	complemented
585	C₄×D₂₁₂	C₂³	1	2	yes	complemented
586	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
587	C₄×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
588	C₄×D₂₁₂	C₂³	1	4	yes	complemented
589	C₄×D₂₁₂	C₂³	1	2	yes	complemented
590	D₄×Dic₅₃	C₂³	1	2	yes	—
591	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
592	D₄×Dic₅₃	C₂³	1	1	yes	characteristic
593	D₄×Dic₅₃	C₂³	1	4	yes	complemented
594	D₄×Dic₅₃	C₂³	1	2	yes	complemented
595	D₄×Dic₅₃	C₂³	1	2	yes	complemented
596	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
597	D₄×Dic₅₃	C₂³	1	2	yes	complemented
598	D₄×Dic₅₃	C₂³	1	2	yes	complemented
599	D₄×Dic₅₃	C₂³	1	4	yes	complemented
600	D₄×Dic₅₃	C₂³	1	2	yes	complemented
601	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
602	D₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
603	D₄×Dic₅₃	C₂³	1	4	yes	complemented
604	D₄×Dic₅₃	C₂³	1	2	yes	complemented
605	#13133179	C₂³	1	1	yes	characteristic
606	#13133179	C₂³	1	2	yes	—
607	#13133179	C₂³	1	1	yes	characteristic
608	#13133179	C₂³	1	2	yes	complemented
609	#13133179	C₂³	1	4	yes	complemented
610	#13133179	C₂³	1	4	yes	complemented
611	#13133179	C₂³	1	2	yes	complemented
612	#13133179	C₂³	1	2	yes	complemented
613	#13133179	C₂³	1	1	yes	characteristic, complemented
614	#13133179	C₂³	1	2	yes	complemented
615	#13133179	C₂³	1	2	yes	complemented
616	#13133179	C₂³	1	1	yes	characteristic, complemented
617	#13133179	C₂³	1	1	yes	characteristic, complemented
618	#13133179	C₂³	1	4	yes	complemented
619	#13133179	C₂³	1	2	yes	complemented
620	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
621	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
622	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
623	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
624	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
625	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
626	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
627	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
628	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
629	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
630	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
631	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
632	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
633	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
634	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
635	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
636	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
637	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
638	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
639	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
640	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
641	#13133177	C₂³	1	2	yes	—
642	#13133177	C₂³	1	4	yes	—
643	#13133177	C₂³	1	2	yes	—
644	#13133177	C₂³	1	4	yes	complemented
645	#13133177	C₂³	1	4	yes	complemented
646	#13133177	C₂³	1	4	yes	complemented
647	#13133177	C₂³	1	4	yes	complemented
648	#13133177	C₂³	1	2	yes	complemented
649	#13133177	C₂³	1	2	yes	complemented
650	#13133177	C₂³	1	2	yes	complemented
651	#13133177	C₂³	1	4	yes	complemented
652	#13133177	C₂³	1	4	yes	complemented
653	#13133177	C₂³	1	2	yes	complemented
654	#13133177	C₂³	1	2	yes	complemented
655	#13133177	C₂³	1	2	yes	complemented
656	#13133177	C₂³	1	2	yes	complemented
657	#13133177	C₂³	1	2	yes	complemented
658	#13133177	C₂³	1	2	yes	complemented
659	#13133177	C₂³	1	4	yes	complemented
660	#13133177	C₂³	1	4	yes	complemented
661	#13133177	C₂³	1	4	yes	complemented
662	#13133176	C₂³	1	2	yes	complemented
663	#13133176	C₂³	1	2	yes	complemented
664	#13133176	C₂³	1	2	yes	complemented
665	#13133175	C₂³	1	2	yes	complemented
666	#13133175	C₂³	1	2	yes	complemented
667	#13133175	C₂³	1	2	yes	complemented
668	#13133175	C₂³	1	2	yes	complemented
669	#13133175	C₂³	1	2	yes	complemented
670	#13133175	C₂³	1	2	yes	complemented
671	#13133174	C₂³	1	4	yes	complemented
672	#13133174	C₂³	1	4	yes	complemented
673	#13133174	C₂³	1	2	yes	complemented
674	#13133174	C₂³	1	2	yes	complemented
675	#13133173	C₂³	1	4	yes	complemented
676	#13133173	C₂³	1	4	yes	complemented
677	#13133173	C₂³	1	2	yes	complemented
678	#13133173	C₂³	1	2	yes	complemented
679	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
680	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
681	C₂×#11719919	C₂³	1	2	yes	complemented
682	C₂×#11719919	C₂³	1	4	yes	complemented
683	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
684	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
685	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
686	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
687	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
688	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
689	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
690	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
691	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
692	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
693	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
694	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
695	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
696	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
697	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
698	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
699	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
700	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
701	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
702	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
703	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
704	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
705	C₂×#11719921	C₂³	1	2	yes	complemented
706	C₂×#11719921	C₂³	1	4	yes	complemented
707	C₂×#11719921	C₂³	1	4	yes	complemented
708	C₂×#11719921	C₂³	1	2	yes	complemented
709	C₂×#11719921	C₂³	1	4	yes	complemented
710	C₂×#11719921	C₂³	1	4	yes	complemented
711	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
712	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
716	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
718	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
719	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
720	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
728	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
729	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
730	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
732	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
733	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
734	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
735	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
736	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
737	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
738	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
739	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
740	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
741	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
742	C₄²×D₅₃	C₂³	1	1	yes	characteristic
743	C₄²×D₅₃	C₂³	1	1	yes	characteristic
744	C₄²×D₅₃	C₂³	1	1	yes	characteristic
745	C₄²×D₅₃	C₂³	1	1	yes	characteristic
746	C₄²×D₅₃	C₂³	1	4	yes	—
747	C₄²×D₅₃	C₂³	1	2	yes	—
748	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
749	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
750	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
751	C₄²×D₅₃	C₂³	1	1	yes	characteristic, complemented
752	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
753	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
754	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
755	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
756	C₂²×D₄×C₅₃	C₂³	1	2	yes	complemented
757	C₂²×D₄×C₅₃	C₂³	1	4	yes	complemented
758	C₂³×C₄×C₅₃	C₂³	1	2	yes	complemented
759	C₄⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
760	#127×C₅₃	C₂³	1	1	yes	characteristic, complemented
761	#127×C₅₃	C₂³	1	2	yes	complemented
762	#126×C₅₃	C₂³	1	2	yes	complemented
763	#126×C₅₃	C₂³	1	4	yes	complemented
764	#125×C₅₃	C₂³	1	1	yes	characteristic, complemented
765	#125×C₅₃	C₂³	1	2	yes	complemented
766	#124×C₅₃	C₂³	1	1	yes	characteristic, complemented
767	#124×C₅₃	C₂³	1	4	yes	complemented
768	#124×C₅₃	C₂³	1	2	yes	complemented
769	#123×C₅₃	C₂³	1	2	yes	complemented
770	#123×C₅₃	C₂³	1	4	yes	complemented
771	#123×C₅₃	C₂³	1	4	yes	complemented
772	#123×C₅₃	C₂³	1	4	yes	complemented
773	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
774	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
775	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
776	#121×C₅₃	C₂³	1	1	yes	characteristic
777	#121×C₅₃	C₂³	1	2	yes	complemented
778	#121×C₅₃	C₂³	1	4	yes	complemented
779	#121×C₅₃	C₂³	1	2	yes	complemented
780	#121×C₅₃	C₂³	1	4	yes	complemented
781	#121×C₅₃	C₂³	1	2	yes	complemented
782	#121×C₅₃	C₂³	1	4	yes	complemented
783	#121×C₅₃	C₂³	1	4	yes	complemented
784	#121×C₅₃	C₂³	1	2	yes	complemented
785	#121×C₅₃	C₂³	1	2	yes	complemented
786	#121×C₅₃	C₂³	1	4	yes	complemented
787	#121×C₅₃	C₂³	1	2	yes	complemented
788	#121×C₅₃	C₂³	1	2	yes	complemented
789	#120×C₅₃	C₂³	1	4	yes	complemented
790	#120×C₅₃	C₂³	1	4	yes	complemented
791	#120×C₅₃	C₂³	1	4	yes	complemented
792	C₄×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
793	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
794	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic
795	C₄×D₄×C₅₃	C₂³	1	2	yes	—
796	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
797	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
798	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
799	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
800	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
801	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
802	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
803	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
804	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
805	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
806	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
807	C₄×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
808	#117×C₅₃	C₂³	1	2	yes	complemented
809	#117×C₅₃	C₂³	1	2	yes	complemented
810	#117×C₅₃	C₂³	1	2	yes	complemented
811	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
812	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
813	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
814	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
815	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
816	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
817	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
818	C₂⁴×C₅₃	C₂⁴	1	4	yes	—
819	C₂³×D₅₃	—	2	8	no	—
820	C₂³×D₅₃	—	2	8	no	—
821	C₂³×D₅₃	—	2	16	no	—
822	C₂³×D₅₃	—	4	4	no	—
823	C₂³×D₅₃	—	4	8	no	—
824	C₂³×D₅₃	—	4	8	no	—
825	C₂³×D₅₃	C₂⁴	1	2	yes	—
826	C₂³×D₅₃	C₂⁴	1	2	yes	—
827	C₂³×D₅₃	C₂⁴	1	4	yes	—
828	C₂³×D₅₃	C₂⁴	1	2	yes	—
829	C₂³×D₅₃	C₂⁴	1	2	yes	—
830	C₂³×D₅₃	C₂⁴	1	2	yes	—
831	C₂³×D₅₃	C₂⁴	1	2	yes	—
832	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
833	C₂³×D₅₃	C₂⁴	1	4	yes	—
834	C₂³×D₅₃	C₂⁴	1	4	yes	—
835	C₂³×D₅₃	C₂⁴	1	4	yes	—
836	#41×C₅₃	—	4	4	no	—
837	#41×C₅₃	—	4	4	no	—
838	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
839	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
840	C₂×D₄×C₅₃	—	2	4	no	—
841	C₂×D₄×C₅₃	—	2	8	no	—
842	C₂×D₄×C₅₃	—	4	4	no	—
843	C₂×D₄×C₅₃	—	4	8	no	—
844	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
845	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
846	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
847	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
848	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
849	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
850	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
852	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
853	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
854	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
855	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
856	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
857	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
858	C₂²×C₄×C₅₃	—	4	4	no	—
859	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
860	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
861	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
862	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
863	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
864	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
865	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
866	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
867	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
868	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
869	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
870	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊D₅₃	—	2	8	no	—
872	C₂×C₂²⋊D₅₃	—	2	16	no	—
873	C₂×C₂²⋊D₅₃	—	4	8	no	—
874	C₂×C₂²⋊D₅₃	—	4	8	no	—
875	C₂×C₂²⋊D₅₃	—	4	8	no	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
878	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
880	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
882	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
883	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
884	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
885	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
886	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
887	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
888	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
889	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
890	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
891	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
892	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
893	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
894	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
895	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
896	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
897	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
898	C₂²×Dic₅₃	—	4	4	no	—
899	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
900	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
901	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
902	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
903	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
904	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
905	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
906	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
907	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
908	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
909	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
910	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
911	#11719949	—	4	4	no	—
912	#11719949	—	4	4	no	—
913	Q₈×D₅₃	—	2	4	no	—
914	Q₈×D₅₃	—	4	4	no	—
915	#11719947	—	4	4	no	—
916	#11719947	—	4	8	no	—
917	#11719947	—	4	4	no	—
918	#11719947	—	4	8	no	—
919	D₄×D₅₃	—	2	8	no	—
920	D₄×D₅₃	—	2	16	no	—
921	D₄×D₅₃	—	2	8	no	—
922	D₄×D₅₃	—	2	16	no	—
923	D₄×D₅₃	—	2	4	no	—
924	D₄×D₅₃	—	2	8	no	—
925	D₄×D₅₃	—	2	8	no	—
926	D₄×D₅₃	—	2	16	no	—
927	D₄×D₅₃	—	2	4	no	—
928	D₄×D₅₃	—	2	8	no	—
929	D₄×D₅₃	—	2	4	no	—
930	D₄×D₅₃	—	2	8	no	—
931	D₄×D₅₃	—	2	4	no	—
932	D₄×D₅₃	—	2	8	no	—
933	D₄×D₅₃	—	4	4	no	—
934	D₄×D₅₃	—	4	4	no	—
935	D₄×D₅₃	—	4	8	no	—
936	D₄×D₅₃	—	4	8	no	—
937	D₄×D₅₃	—	4	8	no	—
938	D₄×D₅₃	—	4	8	no	—
939	D₄×D₅₃	—	4	4	no	—
940	D₄×D₅₃	—	4	8	no	—
941	D₄×D₅₃	—	4	8	no	—
942	D₄×D₅₃	—	4	8	no	—
943	D₄×D₅₃	—	4	8	no	—
944	D₄×D₅₃	—	4	8	no	—
945	D₄×D₅₃	#41	1	8	yes	complemented
946	#11719945	—	4	8	no	—
947	#11719945	—	4	4	no	—
948	#11719945	—	4	8	no	—
949	#11719945	—	4	4	no	—
950	C₂×D₂₁₂	—	2	4	no	—
951	C₂×D₂₁₂	—	2	8	no	—
952	C₂×D₂₁₂	—	4	4	no	—
953	C₂×D₂₁₂	—	4	8	no	—
954	C₂×D₂₁₂	C₂⁴	1	4	yes	—
955	C₂×D₂₁₂	C₂⁴	1	2	yes	—
956	C₂×D₂₁₂	C₂⁴	1	2	yes	—
957	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
958	C₂×D₂₁₂	C₂⁴	1	4	yes	—
959	C₂×D₂₁₂	C₂⁴	1	2	yes	—
960	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
961	C₂×D₂₁₂	C₂⁴	1	2	yes	—
962	C₂×D₂₁₂	C₂⁴	1	2	yes	—
963	C₂×D₂₁₂	C₂⁴	1	4	yes	—
964	C₂×D₂₁₂	C₂⁴	1	4	yes	—
965	C₂×D₂₁₂	C₂⁴	1	4	yes	—
966	C₂×D₂₁₂	C₂⁴	1	4	yes	—
967	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
968	C₂×C₄×D₅₃	—	2	4	no	—
969	C₂×C₄×D₅₃	—	2	4	no	—
970	C₂×C₄×D₅₃	—	2	8	no	—
971	C₂×C₄×D₅₃	—	2	4	no	—
972	C₂×C₄×D₅₃	—	2	8	no	—
973	C₂×C₄×D₅₃	—	2	8	no	—
974	C₂×C₄×D₅₃	—	4	4	no	—
975	C₂×C₄×D₅₃	—	4	4	no	—
976	C₂×C₄×D₅₃	—	4	4	no	—
977	C₂×C₄×D₅₃	—	4	4	no	—
978	C₂×C₄×D₅₃	—	4	4	no	—
979	C₂×C₄×D₅₃	—	4	4	no	—
980	C₂×C₄×D₅₃	—	4	4	no	—
981	C₂×C₄×D₅₃	—	4	4	no	—
982	C₂×C₄×D₅₃	—	4	4	no	—
983	C₂×C₄×D₅₃	—	4	8	no	—
984	C₂×C₄×D₅₃	—	4	8	no	—
985	C₂×C₄×D₅₃	—	4	8	no	—
986	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
987	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
988	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
989	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
990	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
991	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
992	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
993	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
994	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
995	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
996	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
997	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
998	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
999	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1000	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1001	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1002	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1003	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1004	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1005	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1006	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1007	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1008	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1009	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1010	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1011	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1012	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1013	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1014	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1015	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1016	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1017	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
1018	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1019	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
1020	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1021	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
1022	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1023	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
1024	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
1025	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
1026	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1027	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1028	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1029	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1030	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1031	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1032	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1033	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1034	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1035	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1036	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1037	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1038	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1040	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1041	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1042	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1043	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1044	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1045	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1046	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1047	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1048	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1049	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1050	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1051	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1052	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1053	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1054	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1055	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1056	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1057	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1058	C₄²×C₅₃	C₂⁴	1	1	yes	characteristic
1059	C₄²×C₅₃	C₂⁴	1	4	yes	—
1060	C₄²×C₅₃	C₂⁴	1	2	yes	—
1061	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1062	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1063	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1064	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1065	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1066	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1067	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1068	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1069	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1070	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1071	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1072	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1073	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1074	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1075	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1076	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1077	#11719921	C₂⁴	1	2	yes	—
1078	#11719921	C₂⁴	1	2	yes	—
1079	#11719921	C₂⁴	1	2	yes	—
1080	#11719921	C₂⁴	1	2	yes	—
1081	#11719921	C₂⁴	1	4	yes	—
1082	#11719921	C₂⁴	1	2	yes	—
1083	#11719921	C₂⁴	1	2	yes	—
1084	#11719921	C₂⁴	1	4	yes	—
1085	#11719921	C₂⁴	1	2	yes	—
1086	#11719921	C₂⁴	1	4	yes	—
1087	#11719921	C₂⁴	1	2	yes	—
1088	#11719921	C₂⁴	1	2	yes	—
1089	#11719921	C₂⁴	1	4	yes	—
1090	#11719921	C₂⁴	1	4	yes	—
1091	#11719921	C₂⁴	1	4	yes	—
1092	#11719921	C₂⁴	1	4	yes	—
1093	#11719921	C₂⁴	1	4	yes	—
1094	#11719921	C₂⁴	1	2	yes	—
1095	#11719921	C₂⁴	1	2	yes	—
1096	#11719921	C₂⁴	1	2	yes	—
1097	#11719921	C₂⁴	1	4	yes	—
1098	#11719921	C₂⁴	1	4	yes	—
1099	#11719921	C₂⁴	1	2	yes	—
1100	#11719921	C₂⁴	1	2	yes	—
1101	#11719921	C₂⁴	1	2	yes	—
1102	#11719921	C₂⁴	1	2	yes	—
1103	#11719921	C₂⁴	1	4	yes	—
1104	#11719921	C₂⁴	1	4	yes	—
1105	#11719921	C₂⁴	1	2	yes	—
1106	#11719921	C₂⁴	1	2	yes	—
1107	#11719921	C₂⁴	1	4	yes	—
1108	#11719921	C₂⁴	1	4	yes	—
1109	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1110	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1111	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1112	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1113	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1114	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1115	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1116	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1117	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1118	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1119	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1120	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1121	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1122	#11719919	C₂⁴	1	2	yes	—
1123	#11719919	C₂⁴	1	2	yes	—
1124	#11719919	C₂⁴	1	4	yes	—
1125	#11719919	C₂⁴	1	2	yes	—
1126	#11719919	C₂⁴	1	2	yes	—
1127	#11719919	C₂⁴	1	2	yes	—
1128	#11719919	C₂⁴	1	4	yes	—
1129	#11719919	C₂⁴	1	4	yes	—
1130	#11719919	C₂⁴	1	2	yes	—
1131	#11719919	C₂⁴	1	4	yes	—
1132	#11719919	C₂⁴	1	2	yes	—
1133	#11719919	C₂⁴	1	2	yes	—
1134	#11719919	C₂⁴	1	2	yes	—
1135	#11719919	C₂⁴	1	2	yes	—
1136	#11719919	C₂⁴	1	2	yes	—
1137	#11719919	C₂⁴	1	2	yes	—
1138	#11719919	C₂⁴	1	4	yes	—
1139	#11719919	C₂⁴	1	4	yes	—
1140	#11719919	C₂⁴	1	2	yes	—
1141	#11719919	C₂⁴	1	2	yes	—
1142	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1143	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1144	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1145	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1146	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1147	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1148	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1149	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1150	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1151	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1152	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1153	C₄×Dic₅₃	C₂⁴	1	1	yes	characteristic
1154	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1155	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1156	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1157	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1158	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1159	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1160	C₂³×C₅₃	—	2	4	no	—
1161	C₂³×C₅₃	—	2	4	no	—
1162	C₂³×C₅₃	—	2	8	no	—
1163	C₂³×C₅₃	—	4	2	no	—
1164	C₂³×C₅₃	—	4	4	no	—
1165	C₂³×C₅₃	—	4	4	no	—
1166	C₂³×C₅₃	C₂⁵	1	2	yes	—
1167	C₂³×C₅₃	C₂⁵	1	4	yes	—
1168	C₂³×C₅₃	C₂⁵	1	2	yes	—
1169	C₂³×C₅₃	C₂⁵	1	2	yes	—
1170	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1171	C₂²×D₅₃	—	2	2	no	—
1172	C₂²×D₅₃	—	2	2	no	—
1173	C₂²×D₅₃	—	2	4	no	—
1174	C₂²×D₅₃	—	2	4	no	—
1175	C₂²×D₅₃	—	2	4	no	—
1176	C₂²×D₅₃	—	2	4	no	—
1177	C₂²×D₅₃	—	2	8	no	—
1178	C₂²×D₅₃	—	2	4	no	—
1179	C₂²×D₅₃	—	2	4	no	—
1180	C₂²×D₅₃	—	2	4	no	—
1181	C₂²×D₅₃	—	2	4	no	—
1182	C₂²×D₅₃	—	2	8	no	—
1183	C₂²×D₅₃	—	2	4	no	—
1184	C₂²×D₅₃	—	2	8	no	—
1185	C₂²×D₅₃	—	2	8	no	—
1186	C₂²×D₅₃	—	2	4	no	—
1187	C₂²×D₅₃	—	2	4	no	—
1188	C₂²×D₅₃	—	2	4	no	—
1189	C₂²×D₅₃	—	2	4	no	—
1190	C₂²×D₅₃	—	2	4	no	—
1191	C₂²×D₅₃	—	2	8	no	—
1192	C₂²×D₅₃	—	2	8	no	—
1193	C₂²×D₅₃	—	4	2	no	—
1194	C₂²×D₅₃	—	4	2	no	—
1195	C₂²×D₅₃	—	4	2	no	—
1196	C₂²×D₅₃	—	4	32	no	—
1197	C₂²×D₅₃	—	4	4	no	—
1198	C₂²×D₅₃	—	4	4	no	—
1199	C₂²×D₅₃	—	4	4	no	—
1200	C₂²×D₅₃	—	4	4	no	—
1201	C₂²×D₅₃	—	4	4	no	—
1202	C₂²×D₅₃	—	4	4	no	—
1203	C₂²×D₅₃	—	8	32	no	—
1204	C₂²×D₅₃	C₂×#41	1	8	yes	—
1205	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
1206	C₂²×D₅₃	C₂⁵	1	2	yes	—
1207	C₂²×D₅₃	C₂⁵	1	4	yes	—
1208	C₂²×D₅₃	C₂⁵	1	2	yes	—
1209	C₂²×D₅₃	C₂⁵	1	2	yes	—
1210	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1211	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1212	Q₈×C₅₃	—	2	2	no	—
1213	Q₈×C₅₃	—	4	2	no	—
1214	D₄×C₅₃	—	2	4	no	—
1215	D₄×C₅₃	—	2	8	no	—
1216	D₄×C₅₃	—	2	4	no	—
1217	D₄×C₅₃	—	2	8	no	—
1218	D₄×C₅₃	—	2	2	no	—
1219	D₄×C₅₃	—	2	4	no	—
1220	D₄×C₅₃	—	2	2	no	—
1221	D₄×C₅₃	—	2	4	no	—
1222	D₄×C₅₃	—	4	4	no	—
1223	D₄×C₅₃	—	4	4	no	—
1224	D₄×C₅₃	—	4	4	no	—
1225	D₄×C₅₃	—	4	4	no	—
1226	D₄×C₅₃	—	4	2	no	—
1227	D₄×C₅₃	C₂×#41	1	4	yes	complemented
1228	C₂×C₄×C₅₃	—	2	2	no	—
1229	C₂×C₄×C₅₃	—	2	2	no	—
1230	C₂×C₄×C₅₃	—	2	4	no	—
1231	C₂×C₄×C₅₃	—	2	2	no	—
1232	C₂×C₄×C₅₃	—	2	4	no	—
1233	C₂×C₄×C₅₃	—	2	4	no	—
1234	C₂×C₄×C₅₃	—	4	2	no	—
1235	C₂×C₄×C₅₃	—	4	2	no	—
1236	C₂×C₄×C₅₃	—	4	2	no	—
1237	C₂×C₄×C₅₃	—	4	4	no	—
1238	C₂×C₄×C₅₃	—	4	4	no	—
1239	C₂×C₄×C₅₃	—	4	4	no	—
1240	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1241	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1242	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1243	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1244	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1245	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1246	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1247	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1248	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1249	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1250	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1251	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1252	C₂²⋊D₅₃	—	2	4	no	—
1253	C₂²⋊D₅₃	—	2	8	no	—
1254	C₂²⋊D₅₃	—	2	8	no	—
1255	C₂²⋊D₅₃	—	2	4	no	—
1256	C₂²⋊D₅₃	—	2	4	no	—
1257	C₂²⋊D₅₃	—	2	8	no	—
1258	C₂²⋊D₅₃	—	2	8	no	—
1259	C₂²⋊D₅₃	—	2	4	no	—
1260	C₂²⋊D₅₃	—	2	4	no	—
1261	C₂²⋊D₅₃	—	2	8	no	—
1262	C₂²⋊D₅₃	—	2	8	no	—
1263	C₂²⋊D₅₃	—	2	4	no	—
1264	C₂²⋊D₅₃	—	4	4	no	—
1265	C₂²⋊D₅₃	—	4	4	no	—
1266	C₂²⋊D₅₃	—	4	4	no	—
1267	C₂²⋊D₅₃	—	4	4	no	—
1268	C₂²⋊D₅₃	—	4	4	no	—
1269	C₂²⋊D₅₃	—	4	4	no	—
1270	C₂²⋊D₅₃	—	4	4	no	—
1271	C₂²⋊D₅₃	—	4	4	no	—
1272	C₂²⋊D₅₃	—	4	4	no	—
1273	C₂²⋊D₅₃	C₂×#41	1	8	yes	complemented
1274	C₂×Dic₅₃	—	2	2	no	—
1275	C₂×Dic₅₃	—	2	2	no	—
1276	C₂×Dic₅₃	—	2	4	no	—
1277	C₂×Dic₅₃	—	2	2	no	—
1278	C₂×Dic₅₃	—	2	4	no	—
1279	C₂×Dic₅₃	—	2	4	no	—
1280	C₂×Dic₅₃	—	4	2	no	—
1281	C₂×Dic₅₃	—	4	2	no	—
1282	C₂×Dic₅₃	—	4	2	no	—
1283	C₂×Dic₅₃	—	4	4	no	—
1284	C₂×Dic₅₃	—	4	4	no	—
1285	C₂×Dic₅₃	—	4	4	no	—
1286	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1287	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1288	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1289	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1290	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1291	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1292	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1293	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1294	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1295	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1296	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1297	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1298	D₂₁₂	—	2	4	no	—
1299	D₂₁₂	—	2	8	no	—
1300	D₂₁₂	—	2	4	no	—
1301	D₂₁₂	—	2	8	no	—
1302	D₂₁₂	—	2	2	no	—
1303	D₂₁₂	—	2	4	no	—
1304	D₂₁₂	—	2	2	no	—
1305	D₂₁₂	—	2	4	no	—
1306	D₂₁₂	—	4	4	no	—
1307	D₂₁₂	—	4	4	no	—
1308	D₂₁₂	—	4	4	no	—
1309	D₂₁₂	—	4	4	no	—
1310	D₂₁₂	—	4	2	no	—
1311	D₂₁₂	C₂×#41	1	4	yes	complemented
1312	C₄×D₅₃	—	2	2	no	—
1313	C₄×D₅₃	—	2	4	no	—
1314	C₄×D₅₃	—	2	2	no	—
1315	C₄×D₅₃	—	2	2	no	—
1316	C₄×D₅₃	—	2	4	no	—
1317	C₄×D₅₃	—	2	4	no	—
1318	C₄×D₅₃	—	2	2	no	—
1319	C₄×D₅₃	—	2	2	no	—
1320	C₄×D₅₃	—	2	2	no	—
1321	C₄×D₅₃	—	2	4	no	—
1322	C₄×D₅₃	—	2	8	no	—
1323	C₄×D₅₃	—	2	4	no	—
1324	C₄×D₅₃	—	2	2	no	—
1325	C₄×D₅₃	—	2	4	no	—
1326	C₄×D₅₃	—	2	2	no	—
1327	C₄×D₅₃	—	2	4	no	—
1328	C₄×D₅₃	—	2	4	no	—
1329	C₄×D₅₃	—	2	2	no	—
1330	C₄×D₅₃	—	2	4	no	—
1331	C₄×D₅₃	—	2	2	no	—
1332	C₄×D₅₃	—	2	4	no	—
1333	C₄×D₅₃	—	2	4	no	—
1334	C₄×D₅₃	—	4	2	no	—
1335	C₄×D₅₃	—	4	2	no	—
1336	C₄×D₅₃	—	4	2	no	—
1337	C₄×D₅₃	—	4	2	no	—
1338	C₄×D₅₃	—	4	2	no	—
1339	C₄×D₅₃	—	4	2	no	—
1340	C₄×D₅₃	—	4	4	no	—
1341	C₄×D₅₃	—	4	4	no	—
1342	C₄×D₅₃	—	4	4	no	—
1343	C₄×D₅₃	—	4	4	no	—
1344	C₄×D₅₃	—	4	4	no	—
1345	C₄×D₅₃	—	4	4	no	—
1346	C₄×D₅₃	C₂×#41	1	4	yes	—
1347	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1348	Dic₁₀₆	—	2	2	no	—
1349	Dic₁₀₆	—	2	4	no	—
1350	Dic₁₀₆	—	4	4	no	—
1351	Dic₁₀₆	—	4	2	no	—
1352	C₂×#3519	—	53	1	no	maximal, Sylow
1353	C₂²×C₅₃	—	2	1	no	—
1354	C₂²×C₅₃	—	2	1	no	—
1355	C₂²×C₅₃	—	2	2	no	—
1356	C₂²×C₅₃	—	2	2	no	—
1357	C₂²×C₅₃	—	2	2	no	—
1358	C₂²×C₅₃	—	2	2	no	—
1359	C₂²×C₅₃	—	2	4	no	—
1360	C₂²×C₅₃	—	2	2	no	—
1361	C₂²×C₅₃	—	2	4	no	—
1362	C₂²×C₅₃	—	2	4	no	—
1363	C₂²×C₅₃	—	2	2	no	—
1364	C₂²×C₅₃	—	2	2	no	—
1365	C₂²×C₅₃	—	2	2	no	—
1366	C₂²×C₅₃	—	4	8	no	—
1367	C₂²×C₅₃	—	8	8	no	—
1368	C₂²×C₅₃	C₂²×#41	1	4	yes	—
1369	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1370	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1371	C₂×D₅₃	—	2	1	no	—
1372	C₂×D₅₃	—	2	1	no	—
1373	C₂×D₅₃	—	2	2	no	—
1374	C₂×D₅₃	—	2	2	no	—
1375	C₂×D₅₃	—	2	8	no	—
1376	C₂×D₅₃	—	2	16	no	—
1377	C₂×D₅₃	—	2	2	no	—
1378	C₂×D₅₃	—	2	2	no	—
1379	C₂×D₅₃	—	2	4	no	—
1380	C₂×D₅₃	—	2	2	no	—
1381	C₂×D₅₃	—	2	4	no	—
1382	C₂×D₅₃	—	2	4	no	—
1383	C₂×D₅₃	—	2	2	no	—
1384	C₂×D₅₃	—	2	2	no	—
1385	C₂×D₅₃	—	2	2	no	—
1386	C₂×D₅₃	—	4	8	no	—
1387	C₂×D₅₃	—	4	8	no	—
1388	C₂×D₅₃	—	4	8	no	—
1389	C₂×D₅₃	—	4	8	no	—
1390	C₂×D₅₃	—	4	16	no	—
1391	C₂×D₅₃	—	4	8	no	—
1392	C₂×D₅₃	—	8	8	no	—
1393	C₂×D₅₃	—	8	8	no	—
1394	C₂×D₅₃	—	8	8	no	—
1395	C₂×D₅₃	C₂²×#41	1	4	yes	—
1396	C₂×D₅₃	C₂²×#41	1	2	yes	—
1397	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1398	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1399	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1400	C₄×C₅₃	—	2	1	no	—
1401	C₄×C₅₃	—	2	2	no	—
1402	C₄×C₅₃	—	2	2	no	—
1403	C₄×C₅₃	—	2	1	no	—
1404	C₄×C₅₃	—	2	4	no	—
1405	C₄×C₅₃	—	2	1	no	—
1406	C₄×C₅₃	—	2	1	no	—
1407	C₄×C₅₃	—	2	2	no	—
1408	C₄×C₅₃	—	2	2	no	—
1409	C₄×C₅₃	—	2	2	no	—
1410	C₄×C₅₃	C₂²×#41	1	2	yes	—
1411	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1412	Dic₅₃	—	2	1	no	—
1413	Dic₅₃	—	2	2	no	—
1414	Dic₅₃	—	2	2	no	—
1415	Dic₅₃	—	2	1	no	—
1416	Dic₅₃	—	2	4	no	—
1417	Dic₅₃	—	2	1	no	—
1418	Dic₅₃	—	2	1	no	—
1419	Dic₅₃	—	2	2	no	—
1420	Dic₅₃	—	2	2	no	—
1421	Dic₅₃	—	2	2	no	—
1422	Dic₅₃	C₂²×#41	1	2	yes	—
1423	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1424	#3519	—	53	1	no	—
1425	#3519	—	53	1	no	—
1426	#3519	—	53	2	no	—
1427	#3519	—	53	2	no	—
1428	#3519	—	53	1	no	—
1429	#3519	—	53	4	no	—
1430	#3519	—	53	2	no	—
1431	#3519	—	53	2	no	—
1432	#3519	—	53	1	no	—
1433	#3519	—	53	2	no	—
1434	#3519	—	53	4	no	—
1435	#3519	—	53	1	no	—
1436	#3519	—	53	1	no	—
1437	#3519	—	53	2	no	—
1438	#3519	—	53	2	no	—
1439	#3519	—	53	2	no	—
1440	#3519	—	53	1	no	—
1441	#3519	D₅₃	1	1	yes	characteristic, direct product factor
1442	C₂×#555	—	53	1	no	—
1443	C₂×#554	—	53	1	no	—
1444	C₂×#553	—	53	2	no	—
1445	C₂×#553	—	53	2	no	—
1446	C₂×#550	—	53	1	no	—
1447	C₂×#546	—	53	4	no	—
1448	C₂×#546	—	53	2	no	—
1449	C₂×D₄²	—	53	1	no	—
1450	C₂×D₄²	—	53	2	no	—
1451	C₂×#540	—	53	2	no	—
1452	C₂×#538	—	53	4	no	—
1453	C₂×#532	—	53	1	no	—
1454	C₂×#529	—	53	1	no	—
1455	C₂×#525	—	53	2	no	—
1456	C₂²×#121	—	53	2	no	—
1457	C₂×#518	—	53	2	no	—
1458	C₂²×C₄×D₄	—	53	1	no	—
1459	C₂×C₅₃	—	2	2	no	—
1460	C₂×C₅₃	—	2	4	no	—
1461	C₂×C₅₃	—	4	2	no	—
1462	C₂×C₅₃	—	4	2	no	—
1463	C₂×C₅₃	—	4	4	no	—
1464	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1465	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1466	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1467	D₅₃	—	2	2	no	—
1468	D₅₃	—	2	4	no	—
1469	D₅₃	—	4	2	no	—
1470	D₅₃	—	4	4	no	—
1471	D₅₃	—	4	2	no	—
1472	D₅₃	#3519	1	4	yes	direct product factor
1473	C₂²×#41	—	53	2	no	—
1474	C₂²×#41	—	53	2	no	—
1475	C₂³×D₄	—	53	1	no	—
1476	C₂³×D₄	—	53	2	no	—
1477	C₂³×D₄	—	53	2	no	—
1478	C₂³×D₄	—	53	4	no	—
1479	C₂⁴×C₄	—	53	2	no	—
1480	#555	—	53	1	no	—
1481	#555	—	53	4	no	—
1482	#555	—	53	2	no	—
1483	#555	—	53	2	no	—
1484	#555	—	53	1	no	—
1485	#555	—	53	1	no	—
1486	#555	—	53	2	no	—
1487	#555	—	53	2	no	—
1488	#555	C₂×D₅₃	1	1	yes	characteristic, complemented
1489	#554	—	53	1	no	—
1490	#554	—	53	2	no	—
1491	#554	—	53	4	no	—
1492	#554	—	53	2	no	—
1493	#554	—	53	1	no	—
1494	#554	—	53	1	no	—
1495	#554	—	53	2	no	—
1496	#554	—	53	2	no	—
1497	#554	C₂×D₅₃	1	1	yes	characteristic, complemented
1498	#553	—	53	4	no	—
1499	#553	—	53	4	no	—
1500	#553	—	53	2	no	—
1501	#553	—	53	2	no	—
1502	#553	—	53	4	no	—
1503	#553	—	53	4	no	—
1504	#553	—	53	4	no	—
1505	#553	—	53	4	no	—
1506	#553	—	53	2	no	—
1507	#553	—	53	2	no	—
1508	#553	—	53	2	no	—
1509	#553	—	53	2	no	—
1510	#553	—	53	2	no	—
1511	#553	—	53	2	no	—
1512	#553	—	53	4	no	—
1513	#553	—	53	4	no	—
1514	#553	—	53	2	no	—
1515	#553	—	53	2	no	—
1516	#553	—	53	2	no	—
1517	#553	—	53	2	no	—
1518	#553	—	53	2	no	—
1519	#553	—	53	2	no	—
1520	#553	C₂×D₅₃	1	2	yes	complemented
1521	#553	C₂×D₅₃	1	2	yes	complemented
1522	#550	—	53	2	no	—
1523	#550	—	53	2	no	—
1524	#550	—	53	1	no	—
1525	#550	—	53	2	no	—
1526	#550	—	53	4	no	—
1527	#550	—	53	1	no	—
1528	#550	—	53	2	no	—
1529	#550	—	53	1	no	—
1530	#550	C₂×D₅₃	1	1	yes	characteristic, complemented
1531	#546	—	53	4	no	—
1532	#546	—	53	2	no	—
1533	#546	—	53	4	no	—
1534	#546	—	53	2	no	—
1535	#546	—	53	4	no	—
1536	#546	—	53	2	no	—
1537	#546	—	53	4	no	—
1538	#546	—	53	4	no	—
1539	#546	—	53	4	no	—
1540	#546	—	53	4	no	—
1541	#546	—	53	2	no	—
1542	#546	—	53	4	no	—
1543	#546	—	53	2	no	—
1544	#546	—	53	4	no	—
1545	#546	—	53	4	no	—
1546	#546	—	53	4	no	—
1547	#546	—	53	4	no	—
1548	#546	—	53	4	no	—
1549	#546	—	53	4	no	—
1550	#546	—	53	4	no	—
1551	#546	—	53	2	no	—
1552	#546	—	53	4	no	—
1553	#546	—	53	2	no	—
1554	#546	—	53	4	no	—
1555	#546	—	53	4	no	—
1556	#546	—	53	4	no	—
1557	#546	C₂×D₅₃	1	4	yes	complemented
1558	#546	C₂×D₅₃	1	2	yes	complemented
1559	D₄²	—	53	2	no	—
1560	D₄²	—	53	2	no	—
1561	D₄²	—	53	2	no	—
1562	D₄²	—	53	4	no	—
1563	D₄²	—	53	2	no	—
1564	D₄²	—	53	1	no	—
1565	D₄²	—	53	2	no	—
1566	D₄²	—	53	2	no	—
1567	D₄²	—	53	4	no	—
1568	D₄²	—	53	2	no	—
1569	D₄²	—	53	2	no	—
1570	D₄²	—	53	2	no	—
1571	D₄²	—	53	4	no	—
1572	D₄²	—	53	4	no	—
1573	D₄²	—	53	4	no	—
1574	D₄²	—	53	2	no	—
1575	D₄²	—	53	1	no	—
1576	D₄²	—	53	1	no	—
1577	D₄²	—	53	2	no	—
1578	D₄²	C₂×D₅₃	1	1	yes	characteristic, complemented
1579	D₄²	C₂×D₅₃	1	2	yes	complemented
1580	#540	—	53	2	no	—
1581	#540	—	53	2	no	—
1582	#540	—	53	4	no	—
1583	#540	—	53	4	no	—
1584	#540	—	53	4	no	—
1585	#540	—	53	4	no	—
1586	#540	—	53	2	no	—
1587	#540	—	53	2	no	—
1588	#540	—	53	2	no	—
1589	#540	—	53	2	no	—
1590	#540	—	53	2	no	—
1591	#540	C₂×D₅₃	1	2	yes	complemented
1592	#538	—	53	4	no	—
1593	#538	—	53	4	no	—
1594	#538	—	53	4	no	—
1595	#538	—	53	4	no	—
1596	#538	—	53	4	no	—
1597	#538	—	53	4	no	—
1598	#538	—	53	4	no	—
1599	#538	—	53	4	no	—
1600	#538	—	53	4	no	—
1601	#538	—	53	4	no	—
1602	#538	—	53	4	no	—
1603	#538	—	53	4	no	—
1604	#538	—	53	4	no	—
1605	#538	—	53	4	no	—
1606	#538	—	53	4	no	—
1607	#538	C₂×D₅₃	1	4	yes	complemented
1608	#532	—	53	2	no	—
1609	#532	—	53	1	no	—
1610	#532	—	53	1	no	—
1611	#532	—	53	2	no	—
1612	#532	—	53	2	no	—
1613	#532	—	53	2	no	—
1614	#532	—	53	2	no	—
1615	#532	—	53	2	no	—
1616	#532	—	53	1	no	—
1617	#532	C₂×D₅₃	1	1	yes	characteristic, complemented
1618	C₂×C₄⋊Q₈	—	53	1	no	—
1619	C₂×#127	—	53	1	no	—
1620	C₂×#127	—	53	2	no	—
1621	#529	—	53	2	no	—
1622	#529	—	53	1	no	—
1623	#529	—	53	1	no	—
1624	#529	—	53	2	no	—
1625	#529	—	53	1	no	—
1626	#529	—	53	1	no	—
1627	#529	—	53	1	no	—
1628	#529	—	53	2	no	—
1629	#529	—	53	1	no	—
1630	#529	—	53	2	no	—
1631	#529	—	53	1	no	—
1632	#529	C₂×D₅₃	1	1	yes	characteristic, complemented
1633	C₂×#126	—	53	2	no	—
1634	C₂×#126	—	53	4	no	—
1635	C₂×#125	—	53	1	no	—
1636	C₂×#125	—	53	2	no	—
1637	C₂×#124	—	53	1	no	—
1638	C₂×#124	—	53	2	no	—
1639	C₂×#124	—	53	4	no	—
1640	#525	—	53	2	no	—
1641	#525	—	53	2	no	—
1642	#525	—	53	4	no	—
1643	#525	—	53	2	no	—
1644	#525	—	53	2	no	—
1645	#525	—	53	2	no	—
1646	#525	—	53	2	no	—
1647	#525	—	53	4	no	—
1648	#525	—	53	4	no	—
1649	#525	—	53	4	no	—
1650	#525	—	53	2	no	—
1651	#525	C₂×D₅₃	1	2	yes	complemented
1652	C₂×#123	—	53	4	no	—
1653	C₂×#123	—	53	2	no	—
1654	C₂×#123	—	53	4	no	—
1655	C₂×#123	—	53	4	no	—
1656	C₂×C₂²⋊Q₈	—	53	1	no	—
1657	C₂×C₂²⋊Q₈	—	53	2	no	—
1658	C₂×C₂²⋊Q₈	—	53	4	no	—
1659	C₂×#121	—	53	2	no	—
1660	C₂×#121	—	53	4	no	—
1661	C₂×#121	—	53	2	no	—
1662	C₂×#121	—	53	1	no	—
1663	C₂×#121	—	53	2	no	—
1664	C₂×#121	—	53	2	no	—
1665	C₂×#121	—	53	4	no	—
1666	C₂×#121	—	53	4	no	—
1667	C₂×#121	—	53	2	no	—
1668	C₂×#121	—	53	2	no	—
1669	C₂×#121	—	53	2	no	—
1670	C₂×#121	—	53	4	no	—
1671	C₂×#121	—	53	2	no	—
1672	C₂×#121	—	53	4	no	—
1673	C₂×#121	—	53	2	no	—
1674	C₂×#121	—	53	2	no	—
1675	C₂×#121	—	53	2	no	—
1676	C₂×#121	—	53	4	no	—
1677	C₂×#121	—	53	4	no	—
1678	C₂×#121	—	53	2	no	—
1679	C₂×#121	—	53	2	no	—
1680	C₂×#121	—	53	4	no	—
1681	C₂×#121	—	53	2	no	—
1682	C₂×#121	—	53	4	no	—
1683	C₂×#121	C₂×D₅₃	1	2	yes	complemented
1684	C₂×#120	—	53	4	no	—
1685	C₂×#120	—	53	4	no	—
1686	C₂×#120	—	53	4	no	—
1687	#518	—	53	2	no	—
1688	#518	—	53	2	no	—
1689	#518	—	53	2	no	—
1690	#518	—	53	4	no	—
1691	#518	—	53	4	no	—
1692	#518	—	53	2	no	—
1693	#518	—	53	2	no	—
1694	#518	—	53	2	no	—
1695	#518	—	53	2	no	—
1696	#518	—	53	4	no	—
1697	#518	—	53	4	no	—
1698	#518	C₂×D₅₃	1	2	yes	complemented
1699	C₂×C₄×Q₈	—	53	1	no	—
1700	C₂×C₄×D₄	—	53	1	no	—
1701	C₂×C₄×D₄	—	53	2	no	—
1702	C₂×C₄×D₄	—	53	1	no	—
1703	C₂×C₄×D₄	—	53	1	no	—
1704	C₂×C₄×D₄	—	53	2	no	—
1705	C₂×C₄×D₄	—	53	1	no	—
1706	C₂×C₄×D₄	—	53	1	no	—
1707	C₂×C₄×D₄	—	53	2	no	—
1708	C₂×C₄×D₄	—	53	1	no	—
1709	C₂×C₄×D₄	—	53	2	no	—
1710	C₂×C₄×D₄	—	53	1	no	—
1711	C₂×C₄×D₄	—	53	2	no	—
1712	C₂×C₄×D₄	—	53	1	no	—
1713	C₂×C₄×D₄	—	53	2	no	—
1714	C₂×C₄×D₄	—	53	1	no	—
1715	C₂×C₄×D₄	—	53	4	no	—
1716	C₂×C₄×D₄	—	53	2	no	—
1717	C₂×C₄×D₄	—	53	4	no	—
1718	C₂×C₄×D₄	—	53	2	no	—
1719	C₂×C₄×D₄	—	53	4	no	—
1720	C₂×C₄×D₄	—	53	2	no	—
1721	C₂×C₄×D₄	—	53	1	no	—
1722	C₂×C₄×D₄	—	53	2	no	—
1723	C₂×C₄×D₄	—	53	1	no	—
1724	C₂×C₄×D₄	—	53	2	no	—
1725	C₂×C₄×D₄	—	53	1	no	—
1726	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1727	C₂×#117	—	53	2	no	—
1728	C₂×#117	—	53	2	no	—
1729	C₂×#117	—	53	2	no	—
1730	C₂²×C₄⋊C₄	—	53	1	no	—
1731	C₂²×C₄⋊C₄	—	53	2	no	—
1732	C₂²×C₂²⋊C₄	—	53	2	no	—
1733	C₂²×C₂²⋊C₄	—	53	4	no	—
1734	C₂²×C₂²⋊C₄	—	53	4	no	—
1735	C₂²×C₄²	—	53	1	no	—
1736	C₅₃	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
1737	C₂⁵	—	53	2	no	—
1738	C₂⁵	—	53	4	no	—
1739	C₂×#41	—	53	2	no	—
1740	C₂×#41	—	53	2	no	—
1741	C₂×#41	—	53	4	no	—
1742	C₂×#41	—	53	2	no	—
1743	C₂×#41	—	53	4	no	—
1744	C₂×#41	—	53	2	no	—
1745	C₂×#41	—	53	4	no	—
1746	C₂×#41	—	53	2	no	—
1747	C₂×#41	—	53	4	no	—
1748	C₂×#41	—	53	2	no	—
1749	C₂×#41	—	212	8	no	—
1750	C₂×#41	—	212	8	no	—
1751	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1752	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1753	C₂²×Q₈	—	53	1	no	—
1754	C₂²×Q₈	—	53	2	no	—
1755	C₂²×D₄	—	53	1	no	—
1756	C₂²×D₄	—	53	2	no	—
1757	C₂²×D₄	—	53	4	no	—
1758	C₂²×D₄	—	53	4	no	—
1759	C₂²×D₄	—	53	4	no	—
1760	C₂²×D₄	—	53	4	no	—
1761	C₂²×D₄	—	53	2	no	—
1762	C₂²×D₄	—	53	4	no	—
1763	C₂²×D₄	—	53	1	no	—
1764	C₂²×D₄	—	53	2	no	—
1765	C₂²×D₄	—	53	2	no	—
1766	C₂²×D₄	—	53	1	no	—
1767	C₂²×D₄	—	53	1	no	—
1768	C₂²×D₄	—	53	4	no	—
1769	C₂²×D₄	—	53	2	no	—
1770	C₂²×D₄	—	53	1	no	—
1771	C₂²×D₄	—	53	2	no	—
1772	C₂²×D₄	—	53	4	no	—
1773	C₂²×D₄	—	53	2	no	—
1774	C₂²×D₄	—	53	2	no	—
1775	C₂²×D₄	—	53	4	no	—
1776	C₂²×D₄	—	53	2	no	—
1777	C₂²×D₄	—	53	4	no	—
1778	C₂²×D₄	—	53	4	no	—
1779	C₂²×D₄	—	53	4	no	—
1780	C₂²×D₄	—	53	4	no	—
1781	C₂²×D₄	—	53	2	no	—
1782	C₂²×D₄	—	53	2	no	—
1783	C₂²×D₄	—	53	4	no	—
1784	C₂²×D₄	—	53	4	no	—
1785	C₂²×D₄	—	53	4	no	—
1786	C₂²×D₄	—	53	4	no	—
1787	C₂²×D₄	—	53	1	no	—
1788	C₂²×D₄	—	53	2	no	—
1789	C₂²×D₄	—	53	2	no	—
1790	C₂²×D₄	—	53	4	no	—
1791	C₂²×D₄	—	106	16	no	—
1792	C₂²×D₄	—	106	8	no	—
1793	C₂²×D₄	—	212	8	no	—
1794	C₂²×D₄	—	212	16	no	—
1795	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1796	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1797	C₂²×D₄	C₂²×D₅₃	1	2	yes	complemented
1798	C₂²×D₄	C₂²×D₅₃	1	4	yes	complemented
1799	C₂³×C₄	—	53	2	no	—
1800	C₂³×C₄	—	53	1	no	—
1801	C₂³×C₄	—	53	1	no	—
1802	C₂³×C₄	—	53	2	no	—
1803	C₂³×C₄	—	53	2	no	—
1804	C₂³×C₄	—	53	2	no	—
1805	C₂³×C₄	—	53	1	no	—
1806	C₂³×C₄	—	53	2	no	—
1807	C₂³×C₄	—	53	2	no	—
1808	C₂³×C₄	—	53	4	no	—
1809	C₂³×C₄	—	53	4	no	—
1810	C₂³×C₄	—	53	4	no	—
1811	C₂³×C₄	—	53	2	no	—
1812	C₂³×C₄	—	53	2	no	—
1813	C₂³×C₄	—	53	2	no	—
1814	C₂³×C₄	—	53	2	no	—
1815	C₂³×C₄	—	53	2	no	—
1816	C₂³×C₄	—	53	2	no	—
1817	C₂³×C₄	—	53	2	no	—
1818	C₂³×C₄	—	212	8	no	—
1819	C₂³×C₄	C₂²×D₅₃	1	2	yes	complemented
1820	C₄⋊Q₈	—	53	2	no	—
1821	C₄⋊Q₈	—	53	2	no	—
1822	C₄⋊Q₈	—	53	2	no	—
1823	C₄⋊Q₈	—	53	1	no	—
1824	C₄⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1825	#127	—	53	2	no	—
1826	#127	—	53	2	no	—
1827	#127	—	53	2	no	—
1828	#127	—	53	4	no	—
1829	#127	—	53	4	no	—
1830	#127	—	53	2	no	—
1831	#127	—	53	2	no	—
1832	#127	—	53	1	no	—
1833	#127	—	53	2	no	—
1834	#127	C₂²×D₅₃	1	1	yes	characteristic, complemented
1835	#127	C₂²×D₅₃	1	2	yes	complemented
1836	#126	—	53	2	no	—
1837	#126	—	53	2	no	—
1838	#126	—	53	2	no	—
1839	#126	—	53	4	no	—
1840	#126	—	53	4	no	—
1841	#126	—	53	4	no	—
1842	#126	—	53	2	no	—
1843	#126	—	53	2	no	—
1844	#126	—	53	2	no	—
1845	#126	—	53	4	no	—
1846	#126	—	53	4	no	—
1847	#126	—	53	4	no	—
1848	#126	—	53	2	no	—
1849	#126	—	53	4	no	—
1850	#126	C₂²×D₅₃	1	2	yes	complemented
1851	#126	C₂²×D₅₃	1	4	yes	complemented
1852	#125	—	53	2	no	—
1853	#125	—	53	2	no	—
1854	#125	—	53	1	no	—
1855	#125	—	53	1	no	—
1856	#125	—	53	4	no	—
1857	#125	—	53	4	no	—
1858	#125	—	53	2	no	—
1859	#125	—	53	2	no	—
1860	#125	—	53	1	no	—
1861	#125	—	53	2	no	—
1862	#125	C₂²×D₅₃	1	1	yes	characteristic, complemented
1863	#125	C₂²×D₅₃	1	2	yes	complemented
1864	#124	—	53	1	no	—
1865	#124	—	53	2	no	—
1866	#124	—	53	4	no	—
1867	#124	—	53	1	no	—
1868	#124	—	53	2	no	—
1869	#124	—	53	4	no	—
1870	#124	—	53	2	no	—
1871	#124	—	53	2	no	—
1872	#124	—	53	4	no	—
1873	#124	—	53	4	no	—
1874	#124	—	53	4	no	—
1875	#124	—	53	4	no	—
1876	#124	—	53	4	no	—
1877	#124	—	53	4	no	—
1878	#124	—	53	1	no	—
1879	#124	—	53	2	no	—
1880	#124	—	53	4	no	—
1881	#124	C₂²×D₅₃	1	1	yes	characteristic, complemented
1882	#124	C₂²×D₅₃	1	2	yes	complemented
1883	#124	C₂²×D₅₃	1	4	yes	complemented
1884	#123	—	53	4	no	—
1885	#123	—	53	2	no	—
1886	#123	—	53	4	no	—
1887	#123	—	53	4	no	—
1888	#123	—	53	4	no	—
1889	#123	—	53	2	no	—
1890	#123	—	53	4	no	—
1891	#123	—	53	4	no	—
1892	#123	—	53	4	no	—
1893	#123	—	53	4	no	—
1894	#123	—	53	2	no	—
1895	#123	—	53	2	no	—
1896	#123	—	53	4	no	—
1897	#123	—	53	4	no	—
1898	#123	—	53	4	no	—
1899	#123	—	53	4	no	—
1900	#123	—	53	4	no	—
1901	#123	—	53	4	no	—
1902	#123	—	53	4	no	—
1903	#123	—	53	2	no	—
1904	#123	—	53	2	no	—
1905	#123	—	53	2	no	—
1906	#123	—	53	4	no	—
1907	#123	—	53	4	no	—
1908	#123	—	53	4	no	—
1909	#123	—	53	4	no	—
1910	#123	—	53	4	no	—
1911	#123	—	53	4	no	—
1912	#123	C₂²×D₅₃	1	4	yes	complemented
1913	#123	C₂²×D₅₃	1	2	yes	complemented
1914	#123	C₂²×D₅₃	1	4	yes	complemented
1915	#123	C₂²×D₅₃	1	4	yes	complemented
1916	C₂²⋊Q₈	—	53	1	no	—
1917	C₂²⋊Q₈	—	53	2	no	—
1918	C₂²⋊Q₈	—	53	4	no	—
1919	C₂²⋊Q₈	—	53	1	no	—
1920	C₂²⋊Q₈	—	53	2	no	—
1921	C₂²⋊Q₈	—	53	4	no	—
1922	C₂²⋊Q₈	—	53	2	no	—
1923	C₂²⋊Q₈	—	53	1	no	—
1924	C₂²⋊Q₈	—	53	4	no	—
1925	C₂²⋊Q₈	—	53	2	no	—
1926	C₂²⋊Q₈	—	53	4	no	—
1927	C₂²⋊Q₈	—	53	4	no	—
1928	C₂²⋊Q₈	—	53	4	no	—
1929	C₂²⋊Q₈	—	53	2	no	—
1930	C₂²⋊Q₈	—	53	4	no	—
1931	C₂²⋊Q₈	—	53	4	no	—
1932	C₂²⋊Q₈	—	53	4	no	—
1933	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1934	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1935	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1936	#121	—	53	1	no	—
1937	#121	—	53	2	no	—
1938	#121	—	53	2	no	—
1939	#121	—	53	4	no	—
1940	#121	—	53	4	no	—
1941	#121	—	53	4	no	—
1942	#121	—	53	4	no	—
1943	#121	—	53	4	no	—
1944	#121	—	53	4	no	—
1945	#121	—	53	4	no	—
1946	#121	—	53	2	no	—
1947	#121	—	53	4	no	—
1948	#121	—	53	2	no	—
1949	#121	—	53	4	no	—
1950	#121	—	53	2	no	—
1951	#121	—	53	4	no	—
1952	#121	—	53	2	no	—
1953	#121	—	53	4	no	—
1954	#121	—	53	4	no	—
1955	#121	—	53	4	no	—
1956	#121	—	53	4	no	—
1957	#121	—	53	4	no	—
1958	#121	—	53	4	no	—
1959	#121	—	53	4	no	—
1960	#121	—	53	2	no	—
1961	#121	—	53	4	no	—
1962	#121	—	53	2	no	—
1963	#121	—	53	4	no	—
1964	#121	—	53	4	no	—
1965	#121	—	53	4	no	—
1966	#121	—	53	4	no	—
1967	#121	—	53	1	no	—
1968	#121	—	53	2	no	—
1969	#121	—	53	4	no	—
1970	#121	—	53	4	no	—
1971	#121	—	53	2	no	—
1972	#121	—	53	2	no	—
1973	#121	—	53	2	no	—
1974	#121	—	53	2	no	—
1975	#121	—	53	4	no	—
1976	#121	—	53	4	no	—
1977	#121	—	53	2	no	—
1978	#121	—	53	2	no	—
1979	#121	—	53	4	no	—
1980	#121	—	53	1	no	—
1981	#121	—	53	2	no	—
1982	#121	—	53	4	no	—
1983	#121	—	53	4	no	—
1984	#121	—	53	2	no	—
1985	#121	—	53	2	no	—
1986	#121	—	53	2	no	—
1987	#121	—	53	2	no	—
1988	#121	—	53	4	no	—
1989	#121	—	53	4	no	—
1990	#121	—	53	2	no	—
1991	#121	—	53	2	no	—
1992	#121	—	53	4	no	—
1993	#121	—	53	2	no	—
1994	#121	—	53	4	no	—
1995	#121	—	53	4	no	—
1996	#121	—	53	4	no	—
1997	#121	—	53	4	no	—
1998	#121	—	53	4	no	—
1999	#121	—	53	4	no	—
2000	#121	—	53	4	no	—
2001	#121	—	53	4	no	—
2002	#121	—	53	4	no	—
2003	#121	—	53	4	no	—
2004	#121	—	53	4	no	—
2005	#121	—	53	4	no	—
2006	#121	—	53	4	no	—
2007	#121	—	53	4	no	—
2008	#121	—	53	4	no	—
2009	#121	—	53	4	no	—
2010	#121	—	53	4	no	—
2011	#121	C₂²×D₅₃	1	1	yes	characteristic
2012	#121	C₂²×D₅₃	1	2	yes	complemented
2013	#121	C₂²×D₅₃	1	4	yes	complemented
2014	#121	C₂²×D₅₃	1	4	yes	complemented
2015	#121	C₂²×D₅₃	1	2	yes	complemented
2016	#121	C₂²×D₅₃	1	2	yes	complemented
2017	#121	C₂²×D₅₃	1	2	yes	complemented
2018	#121	C₂²×D₅₃	1	2	yes	complemented
2019	#121	C₂²×D₅₃	1	4	yes	complemented
2020	#121	C₂²×D₅₃	1	4	yes	complemented
2021	#121	C₂²×D₅₃	1	2	yes	complemented
2022	#121	C₂²×D₅₃	1	2	yes	complemented
2023	#121	C₂²×D₅₃	1	4	yes	complemented
2024	#120	—	53	4	no	—
2025	#120	—	53	4	no	—
2026	#120	—	53	4	no	—
2027	#120	—	53	4	no	—
2028	#120	—	53	4	no	—
2029	#120	—	53	4	no	—
2030	#120	—	53	4	no	—
2031	#120	—	53	4	no	—
2032	#120	—	53	4	no	—
2033	#120	—	53	4	no	—
2034	#120	—	53	4	no	—
2035	#120	—	53	4	no	—
2036	#120	—	53	4	no	—
2037	#120	—	53	4	no	—
2038	#120	—	53	4	no	—
2039	#120	—	53	4	no	—
2040	#120	—	53	4	no	—
2041	#120	—	53	4	no	—
2042	#120	—	53	4	no	—
2043	#120	—	53	4	no	—
2044	#120	—	53	4	no	—
2045	#120	C₂²×D₅₃	1	4	yes	complemented
2046	#120	C₂²×D₅₃	1	4	yes	complemented
2047	#120	C₂²×D₅₃	1	4	yes	complemented
2048	C₄×Q₈	—	53	1	no	—
2049	C₄×Q₈	—	53	2	no	—
2050	C₄×Q₈	—	53	1	no	—
2051	C₄×Q₈	—	53	2	no	—
2052	C₄×Q₈	—	53	1	no	—
2053	C₄×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
2054	C₄×D₄	—	53	1	no	—
2055	C₄×D₄	—	53	2	no	—
2056	C₄×D₄	—	53	1	no	—
2057	C₄×D₄	—	53	1	no	—
2058	C₄×D₄	—	53	2	no	—
2059	C₄×D₄	—	53	1	no	—
2060	C₄×D₄	—	53	4	no	—
2061	C₄×D₄	—	53	2	no	—
2062	C₄×D₄	—	53	2	no	—
2063	C₄×D₄	—	53	4	no	—
2064	C₄×D₄	—	53	2	no	—
2065	C₄×D₄	—	53	4	no	—
2066	C₄×D₄	—	53	2	no	—
2067	C₄×D₄	—	53	1	no	—
2068	C₄×D₄	—	53	2	no	—
2069	C₄×D₄	—	53	2	no	—
2070	C₄×D₄	—	53	2	no	—
2071	C₄×D₄	—	53	2	no	—
2072	C₄×D₄	—	53	2	no	—
2073	C₄×D₄	—	53	2	no	—
2074	C₄×D₄	—	53	2	no	—
2075	C₄×D₄	—	53	2	no	—
2076	C₄×D₄	—	53	2	no	—
2077	C₄×D₄	—	53	4	no	—
2078	C₄×D₄	—	53	4	no	—
2079	C₄×D₄	—	53	4	no	—
2080	C₄×D₄	—	53	4	no	—
2081	C₄×D₄	—	53	4	no	—
2082	C₄×D₄	—	53	4	no	—
2083	C₄×D₄	—	53	4	no	—
2084	C₄×D₄	—	53	4	no	—
2085	C₄×D₄	—	53	4	no	—
2086	C₄×D₄	—	53	2	no	—
2087	C₄×D₄	—	53	2	no	—
2088	C₄×D₄	—	53	2	no	—
2089	C₄×D₄	—	53	4	no	—
2090	C₄×D₄	—	53	1	no	—
2091	C₄×D₄	—	53	2	no	—
2092	C₄×D₄	—	53	1	no	—
2093	C₄×D₄	—	53	1	no	—
2094	C₄×D₄	—	53	2	no	—
2095	C₄×D₄	—	53	1	no	—
2096	C₄×D₄	—	53	4	no	—
2097	C₄×D₄	—	53	2	no	—
2098	C₄×D₄	—	53	2	no	—
2099	C₄×D₄	—	53	4	no	—
2100	C₄×D₄	—	53	2	no	—
2101	C₄×D₄	—	53	4	no	—
2102	C₄×D₄	—	53	2	no	—
2103	C₄×D₄	—	53	1	no	—
2104	C₄×D₄	—	53	2	no	—
2105	C₄×D₄	—	53	2	no	—
2106	C₄×D₄	—	53	2	no	—
2107	C₄×D₄	—	53	2	no	—
2108	C₄×D₄	—	53	2	no	—
2109	C₄×D₄	—	53	2	no	—
2110	C₄×D₄	—	53	2	no	—
2111	C₄×D₄	—	53	2	no	—
2112	C₄×D₄	—	53	2	no	—
2113	C₄×D₄	—	53	4	no	—
2114	C₄×D₄	—	53	4	no	—
2115	C₄×D₄	—	53	4	no	—
2116	C₄×D₄	—	53	4	no	—
2117	C₄×D₄	—	53	4	no	—
2118	C₄×D₄	—	53	4	no	—
2119	C₄×D₄	—	53	4	no	—
2120	C₄×D₄	—	53	4	no	—
2121	C₄×D₄	—	53	4	no	—
2122	C₄×D₄	—	53	2	no	—
2123	C₄×D₄	—	53	2	no	—
2124	C₄×D₄	—	53	2	no	—
2125	C₄×D₄	—	53	4	no	—
2126	C₄×D₄	—	53	1	no	—
2127	C₄×D₄	—	53	2	no	—
2128	C₄×D₄	—	53	1	no	—
2129	C₄×D₄	—	53	1	no	—
2130	C₄×D₄	—	53	2	no	—
2131	C₄×D₄	—	53	1	no	—
2132	C₄×D₄	—	53	4	no	—
2133	C₄×D₄	—	53	2	no	—
2134	C₄×D₄	—	53	2	no	—
2135	C₄×D₄	—	53	4	no	—
2136	C₄×D₄	—	53	2	no	—
2137	C₄×D₄	—	53	4	no	—
2138	C₄×D₄	—	53	2	no	—
2139	C₄×D₄	—	53	1	no	—
2140	C₄×D₄	—	53	2	no	—
2141	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2142	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic
2143	C₄×D₄	C₂²×D₅₃	1	2	yes	—
2144	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2145	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2146	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2147	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2148	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2149	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2150	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2151	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2152	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2153	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2154	C₄×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2155	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2156	#117	—	53	2	no	—
2157	#117	—	53	2	no	—
2158	#117	—	53	2	no	—
2159	#117	—	53	2	no	—
2160	#117	—	53	2	no	—
2161	#117	—	53	2	no	—
2162	#117	—	53	2	no	—
2163	#117	—	53	2	no	—
2164	#117	—	53	2	no	—
2165	#117	—	53	2	no	—
2166	#117	—	53	2	no	—
2167	#117	—	53	4	no	—
2168	#117	—	53	4	no	—
2169	#117	—	53	2	no	—
2170	#117	—	53	2	no	—
2171	#117	—	53	4	no	—
2172	#117	—	53	4	no	—
2173	#117	C₂²×D₅₃	1	2	yes	complemented
2174	#117	C₂²×D₅₃	1	2	yes	complemented
2175	#117	C₂²×D₅₃	1	2	yes	complemented
2176	C₂×C₄⋊C₄	—	53	2	no	—
2177	C₂×C₄⋊C₄	—	53	1	no	—
2178	C₂×C₄⋊C₄	—	53	4	no	—
2179	C₂×C₄⋊C₄	—	53	2	no	—
2180	C₂×C₄⋊C₄	—	53	1	no	—
2181	C₂×C₄⋊C₄	—	53	1	no	—
2182	C₂×C₄⋊C₄	—	53	2	no	—
2183	C₂×C₄⋊C₄	—	53	1	no	—
2184	C₂×C₄⋊C₄	—	53	2	no	—
2185	C₂×C₄⋊C₄	—	53	2	no	—
2186	C₂×C₄⋊C₄	—	53	1	no	—
2187	C₂×C₄⋊C₄	—	53	1	no	—
2188	C₂×C₄⋊C₄	—	53	4	no	—
2189	C₂×C₄⋊C₄	—	53	4	no	—
2190	C₂×C₄⋊C₄	—	53	2	no	—
2191	C₂×C₄⋊C₄	—	53	2	no	—
2192	C₂×C₄⋊C₄	—	53	1	no	—
2193	C₂×C₄⋊C₄	—	53	2	no	—
2194	C₂×C₄⋊C₄	—	53	2	no	—
2195	C₂×C₄⋊C₄	—	53	2	no	—
2196	C₂×C₄⋊C₄	—	53	2	no	—
2197	C₂×C₄⋊C₄	—	53	4	no	—
2198	C₂×C₄⋊C₄	—	53	2	no	—
2199	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2200	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2201	C₂×C₂²⋊C₄	—	53	2	no	—
2202	C₂×C₂²⋊C₄	—	53	4	no	—
2203	C₂×C₂²⋊C₄	—	53	4	no	—
2204	C₂×C₂²⋊C₄	—	53	2	no	—
2205	C₂×C₂²⋊C₄	—	53	2	no	—
2206	C₂×C₂²⋊C₄	—	53	4	no	—
2207	C₂×C₂²⋊C₄	—	53	4	no	—
2208	C₂×C₂²⋊C₄	—	53	4	no	—
2209	C₂×C₂²⋊C₄	—	53	4	no	—
2210	C₂×C₂²⋊C₄	—	53	2	no	—
2211	C₂×C₂²⋊C₄	—	53	2	no	—
2212	C₂×C₂²⋊C₄	—	53	4	no	—
2213	C₂×C₂²⋊C₄	—	53	2	no	—
2214	C₂×C₂²⋊C₄	—	53	2	no	—
2215	C₂×C₂²⋊C₄	—	53	4	no	—
2216	C₂×C₂²⋊C₄	—	53	4	no	—
2217	C₂×C₂²⋊C₄	—	53	2	no	—
2218	C₂×C₂²⋊C₄	—	53	4	no	—
2219	C₂×C₂²⋊C₄	—	53	2	no	—
2220	C₂×C₂²⋊C₄	—	53	2	no	—
2221	C₂×C₂²⋊C₄	—	53	2	no	—
2222	C₂×C₂²⋊C₄	—	53	2	no	—
2223	C₂×C₂²⋊C₄	—	53	2	no	—
2224	C₂×C₂²⋊C₄	—	53	4	no	—
2225	C₂×C₂²⋊C₄	—	53	4	no	—
2226	C₂×C₂²⋊C₄	—	53	4	no	—
2227	C₂×C₂²⋊C₄	—	53	4	no	—
2228	C₂×C₂²⋊C₄	—	53	4	no	—
2229	C₂×C₂²⋊C₄	—	53	4	no	—
2230	C₂×C₂²⋊C₄	—	53	4	no	—
2231	C₂×C₂²⋊C₄	—	53	4	no	—
2232	C₂×C₂²⋊C₄	—	53	4	no	—
2233	C₂×C₂²⋊C₄	—	53	2	no	—
2234	C₂×C₂²⋊C₄	—	53	2	no	—
2235	C₂×C₂²⋊C₄	—	53	2	no	—
2236	C₂×C₂²⋊C₄	—	53	4	no	—
2237	C₂×C₂²⋊C₄	—	53	4	no	—
2238	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2239	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2240	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2241	C₂×C₄²	—	53	1	no	—
2242	C₂×C₄²	—	53	1	no	—
2243	C₂×C₄²	—	53	1	no	—
2244	C₂×C₄²	—	53	1	no	—
2245	C₂×C₄²	—	53	4	no	—
2246	C₂×C₄²	—	53	2	no	—
2247	C₂×C₄²	—	53	1	no	—
2248	C₂×C₄²	—	53	1	no	—
2249	C₂×C₄²	—	53	1	no	—
2250	C₂×C₄²	—	53	1	no	—
2251	C₂×C₄²	—	53	1	no	—
2252	C₂×C₄²	—	53	1	no	—
2253	C₂×C₄²	—	53	1	no	—
2254	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
2255	C₂⁴	—	53	2	no	—
2256	C₂⁴	—	53	1	no	—
2257	C₂⁴	—	53	2	no	—
2258	C₂⁴	—	53	2	no	—
2259	C₂⁴	—	53	4	no	—
2260	C₂⁴	—	53	2	no	—
2261	C₂⁴	—	53	2	no	—
2262	C₂⁴	—	53	2	no	—
2263	C₂⁴	—	53	4	no	—
2264	C₂⁴	—	53	4	no	—
2265	C₂⁴	—	53	4	no	—
2266	C₂⁴	—	106	16	no	—
2267	C₂⁴	—	106	8	no	—
2268	C₂⁴	—	106	8	no	—
2269	C₂⁴	—	212	8	no	—
2270	C₂⁴	—	212	8	no	—
2271	C₂⁴	—	212	4	no	—
2272	C₂⁴	C₂³×D₅₃	1	2	yes	—
2273	C₂⁴	C₂³×D₅₃	1	4	yes	—
2274	#41	—	4	4	no	—
2275	#41	—	4	4	no	—
2276	#41	—	212	4	no	—
2277	#41	—	212	4	no	—
2278	#41	—	212	8	no	—
2279	#41	—	212	8	no	—
2280	#41	—	212	8	no	—
2281	#41	—	212	4	no	—
2282	#41	—	212	4	no	—
2283	#41	—	212	8	no	—
2284	#41	—	212	4	no	—
2285	#41	—	212	4	no	—
2286	C₂×Q₈	—	53	2	no	—
2287	C₂×Q₈	—	53	1	no	—
2288	C₂×Q₈	—	53	4	no	—
2289	C₂×Q₈	—	53	2	no	—
2290	C₂×Q₈	—	106	4	no	—
2291	C₂×Q₈	—	212	4	no	—
2292	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2293	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2294	C₂×D₄	—	2	4	no	—
2295	C₂×D₄	—	2	8	no	—
2296	C₂×D₄	—	4	4	no	—
2297	C₂×D₄	—	4	8	no	—
2298	C₂×D₄	—	53	2	no	—
2299	C₂×D₄	—	53	8	no	—
2300	C₂×D₄	—	53	2	no	—
2301	C₂×D₄	—	53	4	no	—
2302	C₂×D₄	—	53	2	no	—
2303	C₂×D₄	—	53	4	no	—
2304	C₂×D₄	—	53	2	no	—
2305	C₂×D₄	—	53	4	no	—
2306	C₂×D₄	—	53	4	no	—
2307	C₂×D₄	—	53	4	no	—
2308	C₂×D₄	—	53	2	no	—
2309	C₂×D₄	—	53	2	no	—
2310	C₂×D₄	—	53	2	no	—
2311	C₂×D₄	—	53	4	no	—
2312	C₂×D₄	—	53	4	no	—
2313	C₂×D₄	—	53	4	no	—
2314	C₂×D₄	—	53	4	no	—
2315	C₂×D₄	—	53	4	no	—
2316	C₂×D₄	—	53	4	no	—
2317	C₂×D₄	—	53	4	no	—
2318	C₂×D₄	—	53	4	no	—
2319	C₂×D₄	—	53	4	no	—
2320	C₂×D₄	—	53	4	no	—
2321	C₂×D₄	—	53	1	no	—
2322	C₂×D₄	—	53	2	no	—
2323	C₂×D₄	—	53	4	no	—
2324	C₂×D₄	—	53	1	no	—
2325	C₂×D₄	—	53	2	no	—
2326	C₂×D₄	—	53	4	no	—
2327	C₂×D₄	—	53	2	no	—
2328	C₂×D₄	—	53	1	no	—
2329	C₂×D₄	—	53	2	no	—
2330	C₂×D₄	—	53	4	no	—
2331	C₂×D₄	—	53	2	no	—
2332	C₂×D₄	—	53	4	no	—
2333	C₂×D₄	—	53	4	no	—
2334	C₂×D₄	—	53	4	no	—
2335	C₂×D₄	—	106	8	no	—
2336	C₂×D₄	—	106	4	no	—
2337	C₂×D₄	—	106	8	no	—
2338	C₂×D₄	—	106	4	no	—
2339	C₂×D₄	—	106	4	no	—
2340	C₂×D₄	—	106	8	no	—
2341	C₂×D₄	—	106	16	no	—
2342	C₂×D₄	—	106	8	no	—
2343	C₂×D₄	—	106	8	no	—
2344	C₂×D₄	—	106	4	no	—
2345	C₂×D₄	—	106	16	no	—
2346	C₂×D₄	—	106	8	no	—
2347	C₂×D₄	—	106	8	no	—
2348	C₂×D₄	—	106	16	no	—
2349	C₂×D₄	—	106	8	no	—
2350	C₂×D₄	—	106	16	no	—
2351	C₂×D₄	—	106	8	no	—
2352	C₂×D₄	—	106	4	no	—
2353	C₂×D₄	—	212	4	no	—
2354	C₂×D₄	—	212	8	no	—
2355	C₂×D₄	—	212	4	no	—
2356	C₂×D₄	—	212	4	no	—
2357	C₂×D₄	—	212	8	no	—
2358	C₂×D₄	—	212	8	no	—
2359	C₂×D₄	—	212	8	no	—
2360	C₂×D₄	—	212	8	no	—
2361	C₂×D₄	—	212	4	no	—
2362	C₂×D₄	—	212	8	no	—
2363	C₂×D₄	—	212	8	no	—
2364	C₂×D₄	—	212	8	no	—
2365	C₂×D₄	—	212	8	no	—
2366	C₂×D₄	—	212	8	no	—
2367	C₂×D₄	—	212	8	no	—
2368	C₂×D₄	—	212	8	no	—
2369	C₂×D₄	—	212	8	no	—
2370	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2371	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2372	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2373	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2374	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2375	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2376	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2377	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2378	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2379	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2380	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2381	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2382	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2383	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2384	C₂²×C₄	—	4	4	no	—
2385	C₂²×C₄	—	53	1	no	—
2386	C₂²×C₄	—	53	1	no	—
2387	C₂²×C₄	—	53	1	no	—
2388	C₂²×C₄	—	53	1	no	—
2389	C₂²×C₄	—	53	1	no	—
2390	C₂²×C₄	—	53	2	no	—
2391	C₂²×C₄	—	53	2	no	—
2392	C₂²×C₄	—	53	2	no	—
2393	C₂²×C₄	—	53	2	no	—
2394	C₂²×C₄	—	53	2	no	—
2395	C₂²×C₄	—	53	4	no	—
2396	C₂²×C₄	—	53	4	no	—
2397	C₂²×C₄	—	53	4	no	—
2398	C₂²×C₄	—	53	2	no	—
2399	C₂²×C₄	—	53	2	no	—
2400	C₂²×C₄	—	53	1	no	—
2401	C₂²×C₄	—	53	1	no	—
2402	C₂²×C₄	—	53	1	no	—
2403	C₂²×C₄	—	53	2	no	—
2404	C₂²×C₄	—	53	1	no	—
2405	C₂²×C₄	—	53	1	no	—
2406	C₂²×C₄	—	53	1	no	—
2407	C₂²×C₄	—	53	1	no	—
2408	C₂²×C₄	—	53	1	no	—
2409	C₂²×C₄	—	53	1	no	—
2410	C₂²×C₄	—	53	1	no	—
2411	C₂²×C₄	—	53	4	no	—
2412	C₂²×C₄	—	53	2	no	—
2413	C₂²×C₄	—	53	2	no	—
2414	C₂²×C₄	—	53	2	no	—
2415	C₂²×C₄	—	53	2	no	—
2416	C₂²×C₄	—	53	2	no	—
2417	C₂²×C₄	—	53	2	no	—
2418	C₂²×C₄	—	53	2	no	—
2419	C₂²×C₄	—	53	2	no	—
2420	C₂²×C₄	—	53	2	no	—
2421	C₂²×C₄	—	53	2	no	—
2422	C₂²×C₄	—	53	2	no	—
2423	C₂²×C₄	—	53	2	no	—
2424	C₂²×C₄	—	53	2	no	—
2425	C₂²×C₄	—	53	4	no	—
2426	C₂²×C₄	—	53	4	no	—
2427	C₂²×C₄	—	53	4	no	—
2428	C₂²×C₄	—	53	4	no	—
2429	C₂²×C₄	—	53	4	no	—
2430	C₂²×C₄	—	53	4	no	—
2431	C₂²×C₄	—	53	2	no	—
2432	C₂²×C₄	—	53	2	no	—
2433	C₂²×C₄	—	106	4	no	—
2434	C₂²×C₄	—	106	8	no	—
2435	C₂²×C₄	—	106	8	no	—
2436	C₂²×C₄	—	106	4	no	—
2437	C₂²×C₄	—	106	8	no	—
2438	C₂²×C₄	—	106	4	no	—
2439	C₂²×C₄	—	212	4	no	—
2440	C₂²×C₄	—	212	4	no	—
2441	C₂²×C₄	—	212	4	no	—
2442	C₂²×C₄	—	212	4	no	—
2443	C₂²×C₄	—	212	4	no	—
2444	C₂²×C₄	—	212	4	no	—
2445	C₂²×C₄	—	212	4	no	—
2446	C₂²×C₄	—	212	4	no	—
2447	C₂²×C₄	—	212	4	no	—
2448	C₂²×C₄	—	212	8	no	—
2449	C₂²×C₄	—	212	8	no	—
2450	C₂²×C₄	—	212	8	no	—
2451	C₂²×C₄	—	212	4	no	—
2452	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2453	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2454	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2455	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2456	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2457	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2458	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2459	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2460	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2461	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2462	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2463	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2464	C₄⋊C₄	—	53	2	no	—
2465	C₄⋊C₄	—	53	1	no	—
2466	C₄⋊C₄	—	53	2	no	—
2467	C₄⋊C₄	—	53	1	no	—
2468	C₄⋊C₄	—	53	4	no	—
2469	C₄⋊C₄	—	53	2	no	—
2470	C₄⋊C₄	—	53	2	no	—
2471	C₄⋊C₄	—	53	1	no	—
2472	C₄⋊C₄	—	53	2	no	—
2473	C₄⋊C₄	—	53	2	no	—
2474	C₄⋊C₄	—	53	2	no	—
2475	C₄⋊C₄	—	53	4	no	—
2476	C₄⋊C₄	—	53	4	no	—
2477	C₄⋊C₄	—	53	4	no	—
2478	C₄⋊C₄	—	53	2	no	—
2479	C₄⋊C₄	—	53	1	no	—
2480	C₄⋊C₄	—	53	4	no	—
2481	C₄⋊C₄	—	53	2	no	—
2482	C₄⋊C₄	—	53	2	no	—
2483	C₄⋊C₄	—	53	2	no	—
2484	C₄⋊C₄	—	53	2	no	—
2485	C₄⋊C₄	—	53	2	no	—
2486	C₄⋊C₄	—	53	2	no	—
2487	C₄⋊C₄	—	53	2	no	—
2488	C₄⋊C₄	—	53	2	no	—
2489	C₄⋊C₄	—	53	2	no	—
2490	C₄⋊C₄	—	53	2	no	—
2491	C₄⋊C₄	—	53	4	no	—
2492	C₄⋊C₄	—	53	4	no	—
2493	C₄⋊C₄	—	53	4	no	—
2494	C₄⋊C₄	—	53	2	no	—
2495	C₄⋊C₄	—	53	2	no	—
2496	C₄⋊C₄	—	53	2	no	—
2497	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2498	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2499	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2500	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2501	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2502	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2503	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2504	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2505	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2506	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2507	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2508	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2509	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2510	C₂²⋊C₄	—	53	2	no	—
2511	C₂²⋊C₄	—	53	2	no	—
2512	C₂²⋊C₄	—	53	4	no	—
2513	C₂²⋊C₄	—	53	2	no	—
2514	C₂²⋊C₄	—	53	2	no	—
2515	C₂²⋊C₄	—	53	4	no	—
2516	C₂²⋊C₄	—	53	4	no	—
2517	C₂²⋊C₄	—	53	2	no	—
2518	C₂²⋊C₄	—	53	4	no	—
2519	C₂²⋊C₄	—	53	2	no	—
2520	C₂²⋊C₄	—	53	4	no	—
2521	C₂²⋊C₄	—	53	2	no	—
2522	C₂²⋊C₄	—	53	2	no	—
2523	C₂²⋊C₄	—	53	2	no	—
2524	C₂²⋊C₄	—	53	4	no	—
2525	C₂²⋊C₄	—	53	4	no	—
2526	C₂²⋊C₄	—	53	2	no	—
2527	C₂²⋊C₄	—	53	2	no	—
2528	C₂²⋊C₄	—	53	2	no	—
2529	C₂²⋊C₄	—	53	2	no	—
2530	C₂²⋊C₄	—	53	4	no	—
2531	C₂²⋊C₄	—	53	2	no	—
2532	C₂²⋊C₄	—	53	4	no	—
2533	C₂²⋊C₄	—	53	2	no	—
2534	C₂²⋊C₄	—	53	2	no	—
2535	C₂²⋊C₄	—	53	4	no	—
2536	C₂²⋊C₄	—	53	4	no	—
2537	C₂²⋊C₄	—	53	2	no	—
2538	C₂²⋊C₄	—	53	4	no	—
2539	C₂²⋊C₄	—	53	4	no	—
2540	C₂²⋊C₄	—	53	2	no	—
2541	C₂²⋊C₄	—	53	2	no	—
2542	C₂²⋊C₄	—	53	4	no	—
2543	C₂²⋊C₄	—	53	4	no	—
2544	C₂²⋊C₄	—	53	2	no	—
2545	C₂²⋊C₄	—	53	2	no	—
2546	C₂²⋊C₄	—	53	4	no	—
2547	C₂²⋊C₄	—	53	4	no	—
2548	C₂²⋊C₄	—	53	2	no	—
2549	C₂²⋊C₄	—	53	2	no	—
2550	C₂²⋊C₄	—	53	2	no	—
2551	C₂²⋊C₄	—	53	2	no	—
2552	C₂²⋊C₄	—	53	2	no	—
2553	C₂²⋊C₄	—	53	2	no	—
2554	C₂²⋊C₄	—	53	4	no	—
2555	C₂²⋊C₄	—	53	4	no	—
2556	C₂²⋊C₄	—	53	4	no	—
2557	C₂²⋊C₄	—	53	4	no	—
2558	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2559	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2560	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2561	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2562	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2563	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2564	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2565	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2566	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2567	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2568	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2569	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2570	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2571	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2572	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2573	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2574	C₄²	—	53	1	no	—
2575	C₄²	—	53	1	no	—
2576	C₄²	—	53	1	no	—
2577	C₄²	—	53	1	no	—
2578	C₄²	—	53	1	no	—
2579	C₄²	—	53	1	no	—
2580	C₄²	—	53	1	no	—
2581	C₄²	—	53	1	no	—
2582	C₄²	—	53	1	no	—
2583	C₄²	—	53	1	no	—
2584	C₄²	—	53	1	no	—
2585	C₄²	—	53	1	no	—
2586	C₄²	—	53	4	no	—
2587	C₄²	—	53	4	no	—
2588	C₄²	—	53	4	no	—
2589	C₄²	—	53	2	no	—
2590	C₄²	—	53	2	no	—
2591	C₄²	—	53	2	no	—
2592	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2593	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2594	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2595	C₄²	C₂³×D₅₃	1	1	yes	characteristic
2596	C₄²	C₂³×D₅₃	1	4	yes	—
2597	C₄²	C₂³×D₅₃	1	2	yes	—
2598	C₂³	—	2	4	no	—
2599	C₂³	—	2	4	no	—
2600	C₂³	—	2	8	no	—
2601	C₂³	—	4	2	no	—
2602	C₂³	—	4	4	no	—
2603	C₂³	—	4	4	no	—
2604	C₂³	—	53	1	no	—
2605	C₂³	—	53	8	no	—
2606	C₂³	—	53	4	no	—
2607	C₂³	—	53	2	no	—
2608	C₂³	—	53	1	no	—
2609	C₂³	—	53	2	no	—
2610	C₂³	—	53	2	no	—
2611	C₂³	—	53	4	no	—
2612	C₂³	—	106	2	no	—
2613	C₂³	—	106	4	no	—
2614	C₂³	—	106	2	no	—
2615	C₂³	—	106	4	no	—
2616	C₂³	—	106	8	no	—
2617	C₂³	—	106	8	no	—
2618	C₂³	—	106	4	no	—
2619	C₂³	—	106	4	no	—
2620	C₂³	—	106	8	no	—
2621	C₂³	—	106	8	no	—
2622	C₂³	—	106	4	no	—
2623	C₂³	—	106	8	no	—
2624	C₂³	—	106	4	no	—
2625	C₂³	—	106	4	no	—
2626	C₂³	—	106	4	no	—
2627	C₂³	—	106	4	no	—
2628	C₂³	—	106	4	no	—
2629	C₂³	—	106	4	no	—
2630	C₂³	—	106	4	no	—
2631	C₂³	—	106	8	no	—
2632	C₂³	—	106	4	no	—
2633	C₂³	—	106	4	no	—
2634	C₂³	—	424	32	no	—
2635	C₂³	—	212	4	no	—
2636	C₂³	—	212	4	no	—
2637	C₂³	—	212	4	no	—
2638	C₂³	—	212	4	no	—
2639	C₂³	—	212	4	no	—
2640	C₂³	—	212	4	no	—
2641	C₂³	—	212	2	no	—
2642	C₂³	—	212	2	no	—
2643	C₂³	—	212	2	no	—
2644	C₂³	—	212	32	no	—
2645	C₂³	C₂⁴×D₅₃	1	2	yes	—
2646	C₂³	C₂⁴×D₅₃	1	2	yes	—
2647	C₂³	C₂⁴×D₅₃	1	4	yes	—
2648	C₂³	C₂⁴×D₅₃	1	2	yes	—
2649	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2650	Q₈	—	2	2	no	—
2651	Q₈	—	4	2	no	—
2652	Q₈	—	106	4	no	—
2653	Q₈	—	106	2	no	—
2654	Q₈	—	212	2	no	—
2655	Q₈	—	212	4	no	—
2656	D₄	—	2	4	no	—
2657	D₄	—	2	8	no	—
2658	D₄	—	2	4	no	—
2659	D₄	—	2	8	no	—
2660	D₄	—	2	2	no	—
2661	D₄	—	2	4	no	—
2662	D₄	—	2	2	no	—
2663	D₄	—	2	4	no	—
2664	D₄	—	4	4	no	—
2665	D₄	—	4	4	no	—
2666	D₄	—	4	4	no	—
2667	D₄	—	4	2	no	—
2668	D₄	—	4	4	no	—
2669	D₄	—	53	8	no	—
2670	D₄	—	53	4	no	—
2671	D₄	—	106	8	no	—
2672	D₄	—	106	4	no	—
2673	D₄	—	106	4	no	—
2674	D₄	—	106	8	no	—
2675	D₄	—	106	4	no	—
2676	D₄	—	106	8	no	—
2677	D₄	—	106	4	no	—
2678	D₄	—	106	8	no	—
2679	D₄	—	106	4	no	—
2680	D₄	—	106	8	no	—
2681	D₄	—	106	4	no	—
2682	D₄	—	106	8	no	—
2683	D₄	—	106	8	no	—
2684	D₄	—	106	4	no	—
2685	D₄	—	106	4	no	—
2686	D₄	—	106	8	no	—
2687	D₄	—	106	4	no	—
2688	D₄	—	106	2	no	—
2689	D₄	—	106	2	no	—
2690	D₄	—	106	4	no	—
2691	D₄	—	212	4	no	—
2692	D₄	—	212	4	no	—
2693	D₄	—	212	4	no	—
2694	D₄	—	212	2	no	—
2695	D₄	—	212	4	no	—
2696	D₄	—	212	4	no	—
2697	D₄	—	212	4	no	—
2698	D₄	—	212	4	no	—
2699	D₄	—	212	4	no	—
2700	D₄	—	212	4	no	—
2701	D₄	—	212	4	no	—
2702	D₄	—	212	4	no	—
2703	D₄	—	212	4	no	—
2704	D₄	—	212	4	no	—
2705	D₄	#41×D₅₃	1	4	yes	complemented
2706	C₂×C₄	—	2	2	no	—
2707	C₂×C₄	—	2	2	no	—
2708	C₂×C₄	—	2	4	no	—
2709	C₂×C₄	—	2	2	no	—
2710	C₂×C₄	—	2	4	no	—
2711	C₂×C₄	—	2	4	no	—
2712	C₂×C₄	—	4	2	no	—
2713	C₂×C₄	—	4	2	no	—
2714	C₂×C₄	—	4	2	no	—
2715	C₂×C₄	—	4	4	no	—
2716	C₂×C₄	—	4	4	no	—
2717	C₂×C₄	—	4	4	no	—
2718	C₂×C₄	—	53	1	no	—
2719	C₂×C₄	—	53	1	no	—
2720	C₂×C₄	—	53	4	no	—
2721	C₂×C₄	—	53	4	no	—
2722	C₂×C₄	—	53	1	no	—
2723	C₂×C₄	—	53	2	no	—
2724	C₂×C₄	—	53	1	no	—
2725	C₂×C₄	—	53	1	no	—
2726	C₂×C₄	—	53	2	no	—
2727	C₂×C₄	—	53	1	no	—
2728	C₂×C₄	—	53	4	no	—
2729	C₂×C₄	—	53	2	no	—
2730	C₂×C₄	—	53	2	no	—
2731	C₂×C₄	—	53	2	no	—
2732	C₂×C₄	—	106	2	no	—
2733	C₂×C₄	—	106	4	no	—
2734	C₂×C₄	—	106	4	no	—
2735	C₂×C₄	—	106	2	no	—
2736	C₂×C₄	—	106	4	no	—
2737	C₂×C₄	—	106	2	no	—
2738	C₂×C₄	—	106	4	no	—
2739	C₂×C₄	—	106	2	no	—
2740	C₂×C₄	—	106	4	no	—
2741	C₂×C₄	—	106	4	no	—
2742	C₂×C₄	—	106	2	no	—
2743	C₂×C₄	—	106	2	no	—
2744	C₂×C₄	—	106	2	no	—
2745	C₂×C₄	—	106	2	no	—
2746	C₂×C₄	—	106	4	no	—
2747	C₂×C₄	—	106	8	no	—
2748	C₂×C₄	—	106	4	no	—
2749	C₂×C₄	—	106	2	no	—
2750	C₂×C₄	—	106	4	no	—
2751	C₂×C₄	—	106	4	no	—
2752	C₂×C₄	—	106	2	no	—
2753	C₂×C₄	—	106	4	no	—
2754	C₂×C₄	—	106	2	no	—
2755	C₂×C₄	—	106	2	no	—
2756	C₂×C₄	—	106	4	no	—
2757	C₂×C₄	—	106	2	no	—
2758	C₂×C₄	—	106	4	no	—
2759	C₂×C₄	—	106	4	no	—
2760	C₂×C₄	—	212	2	no	—
2761	C₂×C₄	—	212	2	no	—
2762	C₂×C₄	—	212	2	no	—
2763	C₂×C₄	—	212	2	no	—
2764	C₂×C₄	—	212	2	no	—
2765	C₂×C₄	—	212	2	no	—
2766	C₂×C₄	—	212	4	no	—
2767	C₂×C₄	—	212	4	no	—
2768	C₂×C₄	—	212	4	no	—
2769	C₂×C₄	—	212	4	no	—
2770	C₂×C₄	—	212	4	no	—
2771	C₂×C₄	—	212	4	no	—
2772	C₂×C₄	—	212	2	no	—
2773	C₂×C₄	—	212	2	no	—
2774	C₂×C₄	—	212	2	no	—
2775	C₂×C₄	—	212	4	no	—
2776	C₂×C₄	—	212	4	no	—
2777	C₂×C₄	—	212	4	no	—
2778	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2779	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2780	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2781	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2782	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2783	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2784	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2785	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2786	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2787	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2788	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2789	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2790	C₂²	—	2	1	no	—
2791	C₂²	—	2	1	no	—
2792	C₂²	—	2	2	no	—
2793	C₂²	—	2	2	no	—
2794	C₂²	—	2	2	no	—
2795	C₂²	—	2	2	no	—
2796	C₂²	—	2	4	no	—
2797	C₂²	—	2	2	no	—
2798	C₂²	—	2	4	no	—
2799	C₂²	—	2	4	no	—
2800	C₂²	—	2	2	no	—
2801	C₂²	—	2	2	no	—
2802	C₂²	—	2	2	no	—
2803	C₂²	—	4	8	no	—
2804	C₂²	—	8	8	no	—
2805	C₂²	—	53	2	no	—
2806	C₂²	—	53	2	no	—
2807	C₂²	—	53	2	no	—
2808	C₂²	—	53	4	no	—
2809	C₂²	—	53	2	no	—
2810	C₂²	—	106	16	no	—
2811	C₂²	—	106	8	no	—
2812	C₂²	—	106	1	no	—
2813	C₂²	—	106	1	no	—
2814	C₂²	—	106	2	no	—
2815	C₂²	—	106	2	no	—
2816	C₂²	—	106	2	no	—
2817	C₂²	—	106	4	no	—
2818	C₂²	—	106	2	no	—
2819	C₂²	—	106	2	no	—
2820	C₂²	—	106	4	no	—
2821	C₂²	—	106	4	no	—
2822	C₂²	—	106	2	no	—
2823	C₂²	—	106	2	no	—
2824	C₂²	—	106	2	no	—
2825	C₂²	—	424	8	no	—
2826	C₂²	—	424	8	no	—
2827	C₂²	—	424	8	no	—
2828	C₂²	—	212	8	no	—
2829	C₂²	—	212	8	no	—
2830	C₂²	—	212	8	no	—
2831	C₂²	—	212	16	no	—
2832	C₂²	—	212	8	no	—
2833	C₂²	—	212	8	no	—
2834	C₂²	C₂×#41×D₅₃	1	4	yes	—
2835	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2836	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2837	C₄	—	2	1	no	—
2838	C₄	—	2	2	no	—
2839	C₄	—	2	1	no	—
2840	C₄	—	2	1	no	—
2841	C₄	—	2	2	no	—
2842	C₄	—	2	2	no	—
2843	C₄	—	2	1	no	—
2844	C₄	—	2	2	no	—
2845	C₄	—	2	4	no	—
2846	C₄	—	2	2	no	—
2847	C₄	—	53	2	no	—
2848	C₄	—	53	2	no	—
2849	C₄	—	106	1	no	—
2850	C₄	—	106	2	no	—
2851	C₄	—	106	1	no	—
2852	C₄	—	106	1	no	—
2853	C₄	—	106	2	no	—
2854	C₄	—	106	2	no	—
2855	C₄	—	106	1	no	—
2856	C₄	—	106	2	no	—
2857	C₄	—	106	4	no	—
2858	C₄	—	106	2	no	—
2859	C₄	C₂×#41×D₅₃	1	2	yes	—
2860	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2861	C₂	—	2	2	no	—
2862	C₂	—	2	4	no	—
2863	C₂	—	4	2	no	—
2864	C₂	—	4	2	no	—
2865	C₂	—	4	4	no	—
2866	C₂	—	53	4	no	—
2867	C₂	—	106	4	no	—
2868	C₂	—	106	2	no	—
2869	C₂	—	212	2	no	—
2870	C₂	—	212	4	no	—
2871	C₂	—	212	2	no	—
2872	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2873	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2874	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3519	C₂
hypercenter	#3519	D₅₃
hypocenter	C₅₃	C₂×#3519
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3519

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #20288750	C₂	semidirect
2. #20288749	C₂	semidirect
3. #20288748	C₂	semidirect
4. #20288747	C₂	semidirect
5. #20288746	C₂	semidirect
6. #20288745	C₂	semidirect
7. #20288744	C₂	semidirect
8. #20288743	C₂	semidirect
9. #20288742	C₂	semidirect
10. #20288741	C₂	semidirect
11. #20288740	C₂	semidirect
12. #20288739	C₂	semidirect
13. #20288738	C₂	semidirect
14. #20288737	C₂	semidirect
15. #20288736	C₂	semidirect
16. #20288735	C₂	semidirect
17. #20288734	C₂	semidirect
18. #555×D₅₃	C₂	semidirect
19. #554×D₅₃	C₂	semidirect
20. #553×D₅₃	C₂	semidirect
21. #553×D₅₃	C₂	semidirect
22. #550×D₅₃	C₂	semidirect
23. #546×D₅₃	C₂	semidirect
24. #546×D₅₃	C₂	semidirect
25. D₄²×D₅₃	C₂	semidirect
26. D₄²×D₅₃	C₂	semidirect
27. #540×D₅₃	C₂	semidirect
28. #538×D₅₃	C₂	semidirect
29. #532×D₅₃	C₂	semidirect
30. #529×D₅₃	C₂	semidirect
31. #525×D₅₃	C₂	semidirect
32. C₂×#121×D₅₃	C₂	semidirect
33. #518×D₅₃	C₂	semidirect
34. C₂×C₄×D₄×D₅₃	C₂	semidirect
35. C₅₃×#3519	C₂	semidirect
36. C₂×#41×D₅₃	C₂²	semidirect
37. C₂×#41×D₅₃	C₂²	semidirect
40. C₂²×D₄×D₅₃	C₂²	semidirect
41. C₂²×D₄×D₅₃	C₂²	semidirect
42. C₂³×C₄×D₅₃	C₂²	semidirect
43. #16811339	C₂²	semidirect
44. #16811338	C₂²	semidirect
45. #16811338	C₂²	semidirect
46. #16811337	C₂²	semidirect
47. #16811337	C₂²	semidirect
48. #16811336	C₂²	semidirect
49. #16811336	C₂²	semidirect
50. #16811335	C₂²	semidirect
51. #16811334	C₂²	semidirect
52. #16811333	C₂²	semidirect
53. #16811332	C₂²	semidirect
54. #16811331	C₂²	semidirect
55. #16811330	C₂²	semidirect
56. #16811329	C₂²	semidirect
57. #16811328	C₂²	semidirect
58. #16811327	C₂²	semidirect
59. #16811326	C₂²	semidirect
60. #16811326	C₂²	semidirect
61. #16811325	C₂²	semidirect
62. #16811325	C₂²	semidirect
63. #16811324	C₂²	semidirect
64. #16811324	C₂²	semidirect
65. #16811323	C₂²	semidirect
66. #16811323	C₂²	semidirect
67. #16811322	C₂²	semidirect
68. #16811322	C₂²	semidirect
69. #16811321	C₂²	semidirect
70. #16811321	C₂²	semidirect
71. #16811320	C₂²	semidirect
72. #16811320	C₂²	semidirect
73. #16811319	C₂²	semidirect
74. #16811319	C₂²	semidirect
75. #16811318	C₂²	semidirect
76. #16811318	C₂²	semidirect
77. #16811317	C₂²	semidirect
78. #16811317	C₂²	semidirect
79. #16811316	C₂²	semidirect
80. #16811316	C₂²	semidirect
81. #16811295	C₂²	semidirect
82. #16811294	C₂²	semidirect
83. #16811294	C₂²	semidirect
84. #16811293	C₂²	semidirect
85. #16811293	C₂²	semidirect
86. #16811292	C₂²	semidirect
87. #16811291	C₂²	semidirect
88. #16811291	C₂²	semidirect
89. #16811270	C₂²	semidirect
90. #16811270	C₂²	semidirect
91. #16811269	C₂²	semidirect
92. #16811269	C₂²	semidirect
93. #16811268	C₂²	semidirect
94. #16811268	C₂²	semidirect
95. #16811267	C₂²	semidirect
96. #16811267	C₂²	semidirect
97. #16811266	C₂²	semidirect
98. #16811266	C₂²	semidirect
99. #16811265	C₂²	semidirect
100. #16811265	C₂²	semidirect
101. #16811265	C₂²	semidirect
102. #16811264	C₂²	semidirect
103. #16811264	C₂²	semidirect
104. #16811263	C₂²	semidirect
105. #16811263	C₂²	semidirect
106. #16811263	C₂²	semidirect
107. #16811262	C₂²	semidirect
108. #16811262	C₂²	semidirect
109. #16811262	C₂²	semidirect
110. #16811261	C₂²	semidirect
111. #16811261	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811260	C₂²	semidirect
114. #16811260	C₂²	semidirect
115. D₄×D₂₁₂	C₂²	semidirect
116. D₄×D₂₁₂	C₂²	semidirect
117. D₄×D₂₁₂	C₂²	semidirect
118. D₄×D₂₁₂	C₂²	semidirect
119. #16811258	C₂²	semidirect
120. #16811258	C₂²	semidirect
121. #16811257	C₂²	semidirect
122. #16811257	C₂²	semidirect
123. #16811257	C₂²	semidirect
124. #16811257	C₂²	semidirect
125. #16811257	C₂²	semidirect
126. D₄×C₂²⋊D₅₃	C₂²	semidirect
127. D₄×C₂²⋊D₅₃	C₂²	semidirect
128. D₄×C₂²⋊D₅₃	C₂²	semidirect
129. D₄×C₂²⋊D₅₃	C₂²	semidirect
130. D₄×C₂²⋊D₅₃	C₂²	semidirect
131. #16811255	C₂²	semidirect
132. #16811255	C₂²	semidirect
133. #16811255	C₂²	semidirect
134. #16811229	C₂²	semidirect
135. #16811228	C₂²	semidirect
136. #16811227	C₂²	semidirect
137. #16811226	C₂²	semidirect
138. #16811226	C₂²	semidirect
139. #16811225	C₂²	semidirect
140. #16811225	C₂²	semidirect
141. #16811224	C₂²	semidirect
142. #16811224	C₂²	semidirect
143. #16811223	C₂²	semidirect
144. #16811223	C₂²	semidirect
145. #16811213	C₂²	semidirect
146. #16811212	C₂²	semidirect
147. #16811212	C₂²	semidirect
148. #16811211	C₂²	semidirect
149. #16811210	C₂²	semidirect
150. #16811209	C₂²	semidirect
151. #16811209	C₂²	semidirect
152. #16811208	C₂²	semidirect
153. #16811208	C₂²	semidirect
154. #16811207	C₂²	semidirect
155. #16811207	C₂²	semidirect
156. #16811206	C₂²	semidirect
157. #16811206	C₂²	semidirect
158. #16811205	C₂²	semidirect
159. #16811205	C₂²	semidirect
160. #16811174	C₂²	semidirect
161. #16811173	C₂²	semidirect
162. #16811172	C₂²	semidirect
163. #16811171	C₂²	semidirect
164. #16811170	C₂²	semidirect
165. #16811170	C₂²	semidirect
166. #16811169	C₂²	semidirect
167. #16811168	C₂²	semidirect
168. #16811168	C₂²	semidirect
169. C₄⋊Q₈×D₅₃	C₂²	semidirect
170. #127×D₅₃	C₂²	semidirect
171. #127×D₅₃	C₂²	semidirect
172. #16811160	C₂²	semidirect
173. #16811159	C₂²	semidirect
174. #16811158	C₂²	semidirect
175. #16811157	C₂²	semidirect
176. #16811156	C₂²	semidirect
177. #16811155	C₂²	semidirect
178. #16811154	C₂²	semidirect
179. #16811153	C₂²	semidirect
180. #16811152	C₂²	semidirect
181. #16811151	C₂²	semidirect
182. #16811150	C₂²	semidirect
183. #126×D₅₃	C₂²	semidirect
184. #126×D₅₃	C₂²	semidirect
185. #125×D₅₃	C₂²	semidirect
186. #125×D₅₃	C₂²	semidirect
187. #124×D₅₃	C₂²	semidirect
188. #124×D₅₃	C₂²	semidirect
189. #124×D₅₃	C₂²	semidirect
190. #16811136	C₂²	semidirect
191. #16811136	C₂²	semidirect
192. #16811135	C₂²	semidirect
193. #16811134	C₂²	semidirect
194. #16811133	C₂²	semidirect
195. #16811133	C₂²	semidirect
196. #16811132	C₂²	semidirect
197. #16811132	C₂²	semidirect
198. #16811131	C₂²	semidirect
199. #16811130	C₂²	semidirect
200. #16811129	C₂²	semidirect
201. #123×D₅₃	C₂²	semidirect
202. #123×D₅₃	C₂²	semidirect
203. #123×D₅₃	C₂²	semidirect
204. #123×D₅₃	C₂²	semidirect
205. C₂²⋊Q₈×D₅₃	C₂²	semidirect
206. C₂²⋊Q₈×D₅₃	C₂²	semidirect
207. C₂²⋊Q₈×D₅₃	C₂²	semidirect
208. C₂×#13133192	C₂²	semidirect
209. C₂×#13133191	C₂²	semidirect
210. C₂×#13133190	C₂²	semidirect
211. C₂×#13133189	C₂²	semidirect
212. C₂×#13133188	C₂²	semidirect
214. #121×D₅₃	C₂²	semidirect
215. #121×D₅₃	C₂²	semidirect
216. #121×D₅₃	C₂²	semidirect
217. #121×D₅₃	C₂²	semidirect
218. #121×D₅₃	C₂²	semidirect
219. #121×D₅₃	C₂²	semidirect
220. #121×D₅₃	C₂²	semidirect
221. #121×D₅₃	C₂²	semidirect
222. #121×D₅₃	C₂²	semidirect
223. #121×D₅₃	C₂²	semidirect
224. #121×D₅₃	C₂²	semidirect
225. #121×D₅₃	C₂²	semidirect
226. #121×D₅₃	C₂²	semidirect
227. #121×D₅₃	C₂²	semidirect
228. #121×D₅₃	C₂²	semidirect
229. #121×D₅₃	C₂²	semidirect
230. #121×D₅₃	C₂²	semidirect
231. #121×D₅₃	C₂²	semidirect
232. #120×D₅₃	C₂²	semidirect
233. #120×D₅₃	C₂²	semidirect
234. #120×D₅₃	C₂²	semidirect
235. #16811098	C₂²	semidirect
236. #16811097	C₂²	semidirect
237. #16811097	C₂²	semidirect
238. #16811096	C₂²	semidirect
239. #16811096	C₂²	semidirect
240. #16811095	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. #16811095	C₂²	semidirect
243. #16811095	C₂²	semidirect
244. #16811095	C₂²	semidirect
245. #16811095	C₂²	semidirect
246. C₄×Q₈×D₅₃	C₂²	semidirect
247. C₂×C₄×D₂₁₂	C₂²	semidirect
248. C₂×D₄×Dic₅₃	C₂²	semidirect
249. C₂×#13133179	C₂²	semidirect
250. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
251. C₂×#13133177	C₂²	semidirect
255. C₄×D₄×D₅₃	C₂²	semidirect
256. C₄×D₄×D₅₃	C₂²	semidirect
257. C₄×D₄×D₅₃	C₂²	semidirect
258. C₄×D₄×D₅₃	C₂²	semidirect
259. C₄×D₄×D₅₃	C₂²	semidirect
260. C₄×D₄×D₅₃	C₂²	semidirect
261. C₄×D₄×D₅₃	C₂²	semidirect
262. C₄×D₄×D₅₃	C₂²	semidirect
263. C₄×D₄×D₅₃	C₂²	semidirect
264. C₄×D₄×D₅₃	C₂²	semidirect
265. C₄×D₄×D₅₃	C₂²	semidirect
266. C₄×D₄×D₅₃	C₂²	semidirect
267. C₄×D₄×D₅₃	C₂²	semidirect
268. C₄×D₄×D₅₃	C₂²	semidirect
269. C₄×D₄×D₅₃	C₂²	semidirect
270. C₄×D₄×D₅₃	C₂²	semidirect
271. C₄×D₄×D₅₃	C₂²	semidirect
272. C₄×D₄×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
274. #117×D₅₃	C₂²	semidirect
275. #117×D₅₃	C₂²	semidirect
276. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
277. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
278. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
279. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
280. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#555	C₂²	semidirect
283. C₅₃×#554	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#553	C₂²	semidirect
286. C₅₃×#550	C₂²	semidirect
287. C₅₃×#546	C₂²	semidirect
288. C₅₃×#546	C₂²	semidirect
289. D₄²×C₅₃	C₂²	semidirect
290. D₄²×C₅₃	C₂²	semidirect
291. C₅₃×#540	C₂²	semidirect
292. C₅₃×#538	C₂²	semidirect
293. C₅₃×#532	C₂²	semidirect
294. C₅₃×#529	C₂²	semidirect
295. C₅₃×#525	C₂²	semidirect
296. C₂×#121×C₅₃	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₂×C₄×D₄×C₅₃	C₂²	semidirect
301. C₂×#11719949	C₂³	semidirect
302. C₂×#11719949	C₂³	semidirect
303. C₂×#11719945	C₂³	semidirect
304. C₂×#11719945	C₂³	semidirect
305. C₂×#11719945	C₂³	semidirect
306. C₂×#11719945	C₂³	semidirect
307. C₂×#11719947	C₂³	semidirect
308. C₂×#11719947	C₂³	semidirect
309. C₂×#11719947	C₂³	semidirect
310. C₂×#11719947	C₂³	semidirect
317. C₂²×D₂₁₂	C₂³	semidirect
318. C₂²×D₂₁₂	C₂³	semidirect
321. C₂²×C₂²⋊D₅₃	C₂³	semidirect
322. C₂²×C₂²⋊D₅₃	C₂³	semidirect
323. C₂²×C₂²⋊D₅₃	C₂³	semidirect
348. C₂×D₄×D₅₃	C₂³	semidirect
349. C₂×D₄×D₅₃	C₂³	semidirect
350. C₂×D₄×D₅₃	C₂³	semidirect
351. C₂×D₄×D₅₃	C₂³	semidirect
352. C₂×D₄×D₅₃	C₂³	semidirect
353. C₂×D₄×D₅₃	C₂³	semidirect
354. C₂×D₄×D₅₃	C₂³	semidirect
355. C₂³×Dic₅₃	C₂³	semidirect
369. C₂²×C₄×D₅₃	C₂³	semidirect
370. C₂²×C₄×D₅₃	C₂³	semidirect
371. C₂²×C₄×D₅₃	C₂³	semidirect
372. C₂²×C₄×D₅₃	C₂³	semidirect
373. C₂²×C₄×D₅₃	C₂³	semidirect
374. C₂²×C₄×D₅₃	C₂³	semidirect
375. #13133217	C₂³	semidirect
376. #13133216	C₂³	semidirect
377. #13133216	C₂³	semidirect
378. #13133215	C₂³	semidirect
379. #13133214	C₂³	semidirect
380. #13133214	C₂³	semidirect
381. #13133213	C₂³	semidirect
382. #13133213	C₂³	semidirect
383. #13133213	C₂³	semidirect
384. #13133213	C₂³	semidirect
385. #13133213	C₂³	semidirect
386. #13133213	C₂³	semidirect
387. #13133213	C₂³	semidirect
388. #13133212	C₂³	semidirect
389. #13133212	C₂³	semidirect
390. #13133212	C₂³	semidirect
391. #13133212	C₂³	semidirect
392. #13133212	C₂³	semidirect
393. #13133212	C₂³	semidirect
394. #13133211	C₂³	semidirect
395. #13133211	C₂³	semidirect
396. #13133210	C₂³	semidirect
397. #13133210	C₂³	semidirect
398. #13133210	C₂³	semidirect
399. #13133210	C₂³	semidirect
400. #13133210	C₂³	semidirect
401. #13133210	C₂³	semidirect
402. #13133209	C₂³	semidirect
403. #13133209	C₂³	semidirect
404. #13133208	C₂³	semidirect
405. #13133208	C₂³	semidirect
406. #13133208	C₂³	semidirect
407. #13133208	C₂³	semidirect
408. #13133207	C₂³	semidirect
409. #13133207	C₂³	semidirect
410. #13133207	C₂³	semidirect
411. #13133207	C₂³	semidirect
412. #13133206	C₂³	semidirect
413. #13133206	C₂³	semidirect
414. #13133206	C₂³	semidirect
415. #13133205	C₂³	semidirect
416. #13133205	C₂³	semidirect
417. #13133205	C₂³	semidirect
418. #13133204	C₂³	semidirect
419. #13133204	C₂³	semidirect
420. #13133204	C₂³	semidirect
421. #13133203	C₂³	semidirect
422. #13133203	C₂³	semidirect
423. #13133203	C₂³	semidirect
424. #13133203	C₂³	semidirect
425. #13133203	C₂³	semidirect
426. #13133203	C₂³	semidirect
427. #13133203	C₂³	semidirect
428. #13133203	C₂³	semidirect
429. #13133202	C₂³	semidirect
430. #13133202	C₂³	semidirect
431. #13133202	C₂³	semidirect
432. #13133202	C₂³	semidirect
433. #13133202	C₂³	semidirect
434. #13133202	C₂³	semidirect
435. #13133202	C₂³	semidirect
436. #13133202	C₂³	semidirect
437. #13133201	C₂³	semidirect
438. #13133201	C₂³	semidirect
439. #13133201	C₂³	semidirect
440. #13133201	C₂³	semidirect
441. #13133200	C₂³	semidirect
442. #13133200	C₂³	semidirect
443. #13133200	C₂³	semidirect
444. #13133200	C₂³	semidirect
445. #13133199	C₂³	semidirect
446. #13133199	C₂³	semidirect
447. #13133199	C₂³	semidirect
448. #13133199	C₂³	semidirect
449. #13133199	C₂³	semidirect
450. #13133199	C₂³	semidirect
451. #13133199	C₂³	semidirect
452. #13133199	C₂³	semidirect
453. #13133198	C₂³	semidirect
454. #13133198	C₂³	semidirect
455. #13133198	C₂³	semidirect
456. #13133198	C₂³	semidirect
457. #13133197	C₂³	semidirect
458. #13133197	C₂³	semidirect
459. #13133197	C₂³	semidirect
460. #13133196	C₂³	semidirect
461. #13133196	C₂³	semidirect
462. #13133196	C₂³	semidirect
463. #13133195	C₂³	semidirect
464. #13133195	C₂³	semidirect
465. #13133195	C₂³	semidirect
466. #13133195	C₂³	semidirect
467. #13133194	C₂³	semidirect
468. #13133194	C₂³	semidirect
469. #13133194	C₂³	semidirect
470. #13133194	C₂³	semidirect
471. #13133193	C₂³	semidirect
472. #13133193	C₂³	semidirect
473. #13133193	C₂³	semidirect
475. #13133192	C₂³	semidirect
476. #13133192	C₂³	semidirect
477. #13133192	C₂³	semidirect
478. #13133192	C₂³	semidirect
479. #13133192	C₂³	semidirect
480. #13133192	C₂³	semidirect
481. #13133192	C₂³	semidirect
482. #13133192	C₂³	semidirect
483. #13133192	C₂³	semidirect
484. #13133192	C₂³	semidirect
485. #13133192	C₂³	semidirect
486. #13133192	C₂³	semidirect
488. #13133191	C₂³	semidirect
489. #13133191	C₂³	semidirect
490. #13133191	C₂³	semidirect
491. #13133191	C₂³	semidirect
492. #13133191	C₂³	semidirect
493. #13133191	C₂³	semidirect
494. #13133191	C₂³	semidirect
495. #13133191	C₂³	semidirect
496. #13133191	C₂³	semidirect
497. #13133191	C₂³	semidirect
498. #13133191	C₂³	semidirect
499. #13133191	C₂³	semidirect
501. #13133190	C₂³	semidirect
502. #13133190	C₂³	semidirect
503. #13133190	C₂³	semidirect
504. #13133190	C₂³	semidirect
505. #13133190	C₂³	semidirect
506. #13133190	C₂³	semidirect
507. #13133190	C₂³	semidirect
508. #13133190	C₂³	semidirect
509. #13133190	C₂³	semidirect
510. #13133190	C₂³	semidirect
511. #13133190	C₂³	semidirect
512. #13133190	C₂³	semidirect
513. #13133190	C₂³	semidirect
514. #13133190	C₂³	semidirect
515. #13133190	C₂³	semidirect
516. #13133190	C₂³	semidirect
517. #13133190	C₂³	semidirect
519. #13133189	C₂³	semidirect
520. #13133189	C₂³	semidirect
521. #13133189	C₂³	semidirect
522. #13133189	C₂³	semidirect
523. #13133189	C₂³	semidirect
524. #13133189	C₂³	semidirect
525. #13133189	C₂³	semidirect
526. #13133189	C₂³	semidirect
527. #13133189	C₂³	semidirect
528. #13133189	C₂³	semidirect
529. #13133189	C₂³	semidirect
530. #13133189	C₂³	semidirect
531. #13133189	C₂³	semidirect
532. #13133189	C₂³	semidirect
533. #13133189	C₂³	semidirect
534. #13133189	C₂³	semidirect
535. #13133189	C₂³	semidirect
537. #13133188	C₂³	semidirect
538. #13133188	C₂³	semidirect
539. #13133188	C₂³	semidirect
540. #13133188	C₂³	semidirect
541. #13133188	C₂³	semidirect
542. #13133188	C₂³	semidirect
543. #13133188	C₂³	semidirect
544. #13133188	C₂³	semidirect
545. #13133188	C₂³	semidirect
546. #13133188	C₂³	semidirect
547. #13133188	C₂³	semidirect
548. #13133188	C₂³	semidirect
549. #13133187	C₂³	semidirect
550. #13133187	C₂³	semidirect
551. #13133187	C₂³	semidirect
552. #13133187	C₂³	semidirect
553. #13133187	C₂³	semidirect
554. #13133187	C₂³	semidirect
555. #13133187	C₂³	semidirect
556. #13133187	C₂³	semidirect
557. #13133187	C₂³	semidirect
558. #13133186	C₂³	semidirect
559. #13133186	C₂³	semidirect
560. #13133186	C₂³	semidirect
561. #13133185	C₂³	semidirect
562. #13133185	C₂³	semidirect
563. #13133185	C₂³	semidirect
564. #13133185	C₂³	semidirect
565. #13133185	C₂³	semidirect
566. #13133185	C₂³	semidirect
567. #13133185	C₂³	semidirect
568. #13133185	C₂³	semidirect
569. #13133185	C₂³	semidirect
570. Q₈×Dic₅₃	C₂³	semidirect
571. C₄×Dic₁₀₆	C₂³	semidirect
572. C₄×Dic₁₀₆	C₂³	semidirect
573. #13133182	C₂³	semidirect
574. #13133182	C₂³	semidirect
578. C₄×D₂₁₂	C₂³	semidirect
579. C₄×D₂₁₂	C₂³	semidirect
580. C₄×D₂₁₂	C₂³	semidirect
581. C₄×D₂₁₂	C₂³	semidirect
582. C₄×D₂₁₂	C₂³	semidirect
583. C₄×D₂₁₂	C₂³	semidirect
584. C₄×D₂₁₂	C₂³	semidirect
585. C₄×D₂₁₂	C₂³	semidirect
586. C₄×D₂₁₂	C₂³	semidirect
587. C₄×D₂₁₂	C₂³	semidirect
588. C₄×D₂₁₂	C₂³	semidirect
589. C₄×D₂₁₂	C₂³	semidirect
593. D₄×Dic₅₃	C₂³	semidirect
594. D₄×Dic₅₃	C₂³	semidirect
595. D₄×Dic₅₃	C₂³	semidirect
596. D₄×Dic₅₃	C₂³	semidirect
597. D₄×Dic₅₃	C₂³	semidirect
598. D₄×Dic₅₃	C₂³	semidirect
599. D₄×Dic₅₃	C₂³	semidirect
600. D₄×Dic₅₃	C₂³	semidirect
601. D₄×Dic₅₃	C₂³	semidirect
602. D₄×Dic₅₃	C₂³	semidirect
603. D₄×Dic₅₃	C₂³	semidirect
604. D₄×Dic₅₃	C₂³	semidirect
608. #13133179	C₂³	semidirect
609. #13133179	C₂³	semidirect
610. #13133179	C₂³	semidirect
611. #13133179	C₂³	semidirect
612. #13133179	C₂³	semidirect
613. #13133179	C₂³	semidirect
614. #13133179	C₂³	semidirect
615. #13133179	C₂³	semidirect
616. #13133179	C₂³	semidirect
617. #13133179	C₂³	semidirect
618. #13133179	C₂³	semidirect
619. #13133179	C₂³	semidirect
623. C₄×C₂²⋊D₅₃	C₂³	semidirect
624. C₄×C₂²⋊D₅₃	C₂³	semidirect
625. C₄×C₂²⋊D₅₃	C₂³	semidirect
626. C₄×C₂²⋊D₅₃	C₂³	semidirect
627. C₄×C₂²⋊D₅₃	C₂³	semidirect
628. C₄×C₂²⋊D₅₃	C₂³	semidirect
629. C₄×C₂²⋊D₅₃	C₂³	semidirect
630. C₄×C₂²⋊D₅₃	C₂³	semidirect
631. C₄×C₂²⋊D₅₃	C₂³	semidirect
632. C₄×C₂²⋊D₅₃	C₂³	semidirect
633. C₄×C₂²⋊D₅₃	C₂³	semidirect
634. C₄×C₂²⋊D₅₃	C₂³	semidirect
635. C₄×C₂²⋊D₅₃	C₂³	semidirect
636. C₄×C₂²⋊D₅₃	C₂³	semidirect
637. C₄×C₂²⋊D₅₃	C₂³	semidirect
638. C₄×C₂²⋊D₅₃	C₂³	semidirect
639. C₄×C₂²⋊D₅₃	C₂³	semidirect
640. C₄×C₂²⋊D₅₃	C₂³	semidirect
644. #13133177	C₂³	semidirect
645. #13133177	C₂³	semidirect
646. #13133177	C₂³	semidirect
647. #13133177	C₂³	semidirect
648. #13133177	C₂³	semidirect
649. #13133177	C₂³	semidirect
650. #13133177	C₂³	semidirect
651. #13133177	C₂³	semidirect
652. #13133177	C₂³	semidirect
653. #13133177	C₂³	semidirect
654. #13133177	C₂³	semidirect
655. #13133177	C₂³	semidirect
656. #13133177	C₂³	semidirect
657. #13133177	C₂³	semidirect
658. #13133177	C₂³	semidirect
659. #13133177	C₂³	semidirect
660. #13133177	C₂³	semidirect
661. #13133177	C₂³	semidirect
662. #13133176	C₂³	semidirect
663. #13133176	C₂³	semidirect
664. #13133176	C₂³	semidirect
665. #13133175	C₂³	semidirect
666. #13133175	C₂³	semidirect
667. #13133175	C₂³	semidirect
668. #13133175	C₂³	semidirect
669. #13133175	C₂³	semidirect
670. #13133175	C₂³	semidirect
671. #13133174	C₂³	semidirect
672. #13133174	C₂³	semidirect
673. #13133174	C₂³	semidirect
674. #13133174	C₂³	semidirect
675. #13133173	C₂³	semidirect
676. #13133173	C₂³	semidirect
677. #13133173	C₂³	semidirect
678. #13133173	C₂³	semidirect
679. C₂×C₄⋊Dic₅₃	C₂³	semidirect
680. C₂×C₄⋊Dic₅₃	C₂³	semidirect
681. C₂×#11719919	C₂³	semidirect
682. C₂×#11719919	C₂³	semidirect
696. C₄⋊C₄×D₅₃	C₂³	semidirect
697. C₄⋊C₄×D₅₃	C₂³	semidirect
698. C₄⋊C₄×D₅₃	C₂³	semidirect
699. C₄⋊C₄×D₅₃	C₂³	semidirect
700. C₄⋊C₄×D₅₃	C₂³	semidirect
701. C₄⋊C₄×D₅₃	C₂³	semidirect
702. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
703. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
704. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
705. C₂×#11719921	C₂³	semidirect
706. C₂×#11719921	C₂³	semidirect
707. C₂×#11719921	C₂³	semidirect
708. C₂×#11719921	C₂³	semidirect
709. C₂×#11719921	C₂³	semidirect
710. C₂×#11719921	C₂³	semidirect
727. C₂²⋊C₄×D₅₃	C₂³	semidirect
728. C₂²⋊C₄×D₅₃	C₂³	semidirect
729. C₂²⋊C₄×D₅₃	C₂³	semidirect
730. C₂²⋊C₄×D₅₃	C₂³	semidirect
731. C₂²⋊C₄×D₅₃	C₂³	semidirect
732. C₂²⋊C₄×D₅₃	C₂³	semidirect
733. C₂²⋊C₄×D₅₃	C₂³	semidirect
734. C₂²⋊C₄×D₅₃	C₂³	semidirect
735. C₂²⋊C₄×D₅₃	C₂³	semidirect
736. C₂²⋊C₄×D₅₃	C₂³	semidirect
737. C₂²⋊C₄×D₅₃	C₂³	semidirect
738. C₂²⋊C₄×D₅₃	C₂³	semidirect
739. C₂×C₄×Dic₅₃	C₂³	semidirect
740. C₂×C₄×Dic₅₃	C₂³	semidirect
741. C₂×C₄×Dic₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
750. C₄²×D₅₃	C₂³	semidirect
751. C₄²×D₅₃	C₂³	semidirect
752. C₂×#41×C₅₃	C₂³	semidirect
753. C₂×#41×C₅₃	C₂³	semidirect
756. C₂²×D₄×C₅₃	C₂³	semidirect
757. C₂²×D₄×C₅₃	C₂³	semidirect
758. C₂³×C₄×C₅₃	C₂³	semidirect
759. C₄⋊Q₈×C₅₃	C₂³	semidirect
760. #127×C₅₃	C₂³	semidirect
761. #127×C₅₃	C₂³	semidirect
762. #126×C₅₃	C₂³	semidirect
763. #126×C₅₃	C₂³	semidirect
764. #125×C₅₃	C₂³	semidirect
765. #125×C₅₃	C₂³	semidirect
766. #124×C₅₃	C₂³	semidirect
767. #124×C₅₃	C₂³	semidirect
768. #124×C₅₃	C₂³	semidirect
769. #123×C₅₃	C₂³	semidirect
770. #123×C₅₃	C₂³	semidirect
771. #123×C₅₃	C₂³	semidirect
772. #123×C₅₃	C₂³	semidirect
773. C₂²⋊Q₈×C₅₃	C₂³	semidirect
774. C₂²⋊Q₈×C₅₃	C₂³	semidirect
775. C₂²⋊Q₈×C₅₃	C₂³	semidirect
777. #121×C₅₃	C₂³	semidirect
778. #121×C₅₃	C₂³	semidirect
779. #121×C₅₃	C₂³	semidirect
780. #121×C₅₃	C₂³	semidirect
781. #121×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
783. #121×C₅₃	C₂³	semidirect
784. #121×C₅₃	C₂³	semidirect
785. #121×C₅₃	C₂³	semidirect
786. #121×C₅₃	C₂³	semidirect
787. #121×C₅₃	C₂³	semidirect
788. #121×C₅₃	C₂³	semidirect
789. #120×C₅₃	C₂³	semidirect
790. #120×C₅₃	C₂³	semidirect
791. #120×C₅₃	C₂³	semidirect
792. C₄×Q₈×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
797. C₄×D₄×C₅₃	C₂³	semidirect
798. C₄×D₄×C₅₃	C₂³	semidirect
799. C₄×D₄×C₅₃	C₂³	semidirect
800. C₄×D₄×C₅₃	C₂³	semidirect
801. C₄×D₄×C₅₃	C₂³	semidirect
802. C₄×D₄×C₅₃	C₂³	semidirect
803. C₄×D₄×C₅₃	C₂³	semidirect
804. C₄×D₄×C₅₃	C₂³	semidirect
805. C₄×D₄×C₅₃	C₂³	semidirect
806. C₄×D₄×C₅₃	C₂³	semidirect
807. C₄×D₄×C₅₃	C₂³	semidirect
808. #117×C₅₃	C₂³	semidirect
809. #117×C₅₃	C₂³	semidirect
810. #117×C₅₃	C₂³	semidirect
811. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
812. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
813. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
814. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
815. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
816. C₂×C₄²×C₅₃	C₂³	semidirect
945. D₄×D₅₃	#41	semidirect
1227. D₄×C₅₃	C₂×#41	semidirect
1273. C₂²⋊D₅₃	C₂×#41	semidirect
1311. D₂₁₂	C₂×#41	semidirect
1441. #3519	D₅₃	direct (N × H)
1472. D₅₃	#3519	direct (N × H)
1488. #555	C₂×D₅₃	semidirect
1497. #554	C₂×D₅₃	semidirect
1520. #553	C₂×D₅₃	semidirect
1521. #553	C₂×D₅₃	semidirect
1530. #550	C₂×D₅₃	semidirect
1557. #546	C₂×D₅₃	semidirect
1558. #546	C₂×D₅₃	semidirect
1578. D₄²	C₂×D₅₃	semidirect
1579. D₄²	C₂×D₅₃	semidirect
1591. #540	C₂×D₅₃	semidirect
1607. #538	C₂×D₅₃	semidirect
1617. #532	C₂×D₅₃	semidirect
1632. #529	C₂×D₅₃	semidirect
1651. #525	C₂×D₅₃	semidirect
1683. C₂×#121	C₂×D₅₃	semidirect
1698. #518	C₂×D₅₃	semidirect
1726. C₂×C₄×D₄	C₂×D₅₃	semidirect
1736. C₅₃	C₂×#3519	semidirect
1751. C₂×#41	C₂²×D₅₃	semidirect
1752. C₂×#41	C₂²×D₅₃	semidirect
1797. C₂²×D₄	C₂²×D₅₃	semidirect
1798. C₂²×D₄	C₂²×D₅₃	semidirect
1819. C₂³×C₄	C₂²×D₅₃	semidirect
1824. C₄⋊Q₈	C₂²×D₅₃	semidirect
1834. #127	C₂²×D₅₃	semidirect
1835. #127	C₂²×D₅₃	semidirect
1850. #126	C₂²×D₅₃	semidirect
1851. #126	C₂²×D₅₃	semidirect
1862. #125	C₂²×D₅₃	semidirect
1863. #125	C₂²×D₅₃	semidirect
1881. #124	C₂²×D₅₃	semidirect
1882. #124	C₂²×D₅₃	semidirect
1883. #124	C₂²×D₅₃	semidirect
1912. #123	C₂²×D₅₃	semidirect
1913. #123	C₂²×D₅₃	semidirect
1914. #123	C₂²×D₅₃	semidirect
1915. #123	C₂²×D₅₃	semidirect
1933. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1934. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1935. C₂²⋊Q₈	C₂²×D₅₃	semidirect
2012. #121	C₂²×D₅₃	semidirect
2013. #121	C₂²×D₅₃	semidirect
2014. #121	C₂²×D₅₃	semidirect
2015. #121	C₂²×D₅₃	semidirect
2016. #121	C₂²×D₅₃	semidirect
2017. #121	C₂²×D₅₃	semidirect
2018. #121	C₂²×D₅₃	semidirect
2019. #121	C₂²×D₅₃	semidirect
2020. #121	C₂²×D₅₃	semidirect
2021. #121	C₂²×D₅₃	semidirect
2022. #121	C₂²×D₅₃	semidirect
2023. #121	C₂²×D₅₃	semidirect
2045. #120	C₂²×D₅₃	semidirect
2046. #120	C₂²×D₅₃	semidirect
2047. #120	C₂²×D₅₃	semidirect
2053. C₄×Q₈	C₂²×D₅₃	semidirect
2144. C₄×D₄	C₂²×D₅₃	semidirect
2145. C₄×D₄	C₂²×D₅₃	semidirect
2146. C₄×D₄	C₂²×D₅₃	semidirect
2147. C₄×D₄	C₂²×D₅₃	semidirect
2148. C₄×D₄	C₂²×D₅₃	semidirect
2149. C₄×D₄	C₂²×D₅₃	semidirect
2150. C₄×D₄	C₂²×D₅₃	semidirect
2151. C₄×D₄	C₂²×D₅₃	semidirect
2152. C₄×D₄	C₂²×D₅₃	semidirect
2153. C₄×D₄	C₂²×D₅₃	semidirect
2154. C₄×D₄	C₂²×D₅₃	semidirect
2155. C₄×D₄	C₂²×D₅₃	semidirect
2173. #117	C₂²×D₅₃	semidirect
2174. #117	C₂²×D₅₃	semidirect
2175. #117	C₂²×D₅₃	semidirect
2199. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2200. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2238. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2239. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2240. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2254. C₂×C₄²	C₂²×D₅₃	semidirect
2705. D₄	#41×D₅₃	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#20288750	2
#20288749	2
#20288748	2
#20288747	2
#20288746	2
#20288745	2
#20288744	2
#20288743	2
#20288742	2
#20288741	2
#20288740	2
#20288739	2
#20288738	2
#20288737	2
#20288736	2
#20288735	2
#20288734	2
#555×D₅₃	2
#554×D₅₃	2
#553×D₅₃	2
#550×D₅₃	2
#546×D₅₃	2
D₄²×D₅₃	2
#540×D₅₃	2
#538×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₂×#121×D₅₃	2
#518×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3519	2
C₂×#3519	53

Subgroups — D53×#3519 #28292073

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3519 #28292073