Subgroups — D₅₃×#3505 #28292007

Order 13568.

8082 conjugacy classes of subgroups.

The subgroup lattice has 2640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288556	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288555	C₂	1	2	yes	maximal, complemented
3	#20288554	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288553	C₂	1	2	yes	maximal, complemented
5	#20288552	C₂	1	2	yes	maximal, complemented
6	#20288551	C₂	1	2	yes	maximal, complemented
7	#20288550	C₂	1	2	yes	maximal, complemented
8	#20288549	C₂	1	1	yes	maximal, characteristic, complemented
9	#20288548	C₂	1	4	yes	maximal, complemented
10	#20288547	C₂	1	2	yes	maximal, complemented
11	#20288546	C₂	1	4	yes	maximal, complemented
12	#20288545	C₂	1	2	yes	maximal, complemented
13	#20288544	C₂	1	2	yes	maximal, complemented
14	#20288543	C₂	1	2	yes	maximal, complemented
15	#20288542	C₂	1	2	yes	maximal, complemented
16	#553×D₅₃	C₂	1	4	yes	maximal, complemented
17	#553×D₅₃	C₂	1	2	yes	maximal, complemented
18	#552×D₅₃	C₂	1	2	yes	maximal, complemented
19	#551×D₅₃	C₂	1	4	yes	maximal, complemented
20	#548×D₅₃	C₂	1	2	yes	maximal, complemented
21	#546×D₅₃	C₂	1	2	yes	maximal, complemented
22	#539×D₅₃	C₂	1	2	yes	maximal, complemented
23	#538×D₅₃	C₂	1	2	yes	maximal, complemented
24	#534×D₅₃	C₂	1	2	yes	maximal, complemented
25	#529×D₅₃	C₂	1	2	yes	maximal, complemented
26	#525×D₅₃	C₂	1	2	yes	maximal, complemented
27	C₂×C₂²⋊Q₈×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#121×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
29	#518×D₅₃	C₂	1	2	yes	maximal, complemented
30	C₂×C₄×D₄×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₅₃×#3505	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₅₃	C₂²	1	2	yes	complemented
33	C₂²×Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
35	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
36	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
37	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
38	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
39	#16811326	C₂²	1	4	yes	complemented
40	#16811326	C₂²	1	2	yes	complemented
41	#16811325	C₂²	1	4	yes	complemented
42	#16811325	C₂²	1	2	yes	complemented
43	#16811324	C₂²	1	4	yes	complemented
44	#16811324	C₂²	1	4	yes	complemented
45	#16811324	C₂²	1	4	yes	complemented
46	#16811323	C₂²	1	2	yes	complemented
47	#16811323	C₂²	1	4	yes	complemented
48	#16811322	C₂²	1	4	yes	complemented
49	#16811322	C₂²	1	4	yes	complemented
50	#16811322	C₂²	1	4	yes	complemented
51	#16811321	C₂²	1	2	yes	complemented
52	#16811321	C₂²	1	4	yes	complemented
53	#16811320	C₂²	1	2	yes	complemented
54	#16811320	C₂²	1	4	yes	complemented
55	#16811319	C₂²	1	4	yes	complemented
56	#16811319	C₂²	1	2	yes	complemented
57	#16811318	C₂²	1	4	yes	complemented
58	#16811318	C₂²	1	4	yes	complemented
59	#16811318	C₂²	1	4	yes	complemented
60	#16811317	C₂²	1	2	yes	complemented
61	#16811317	C₂²	1	4	yes	complemented
62	#16811316	C₂²	1	4	yes	complemented
63	#16811316	C₂²	1	4	yes	complemented
64	#16811316	C₂²	1	4	yes	complemented
65	#16811315	C₂²	1	2	yes	complemented
66	#16811314	C₂²	1	2	yes	complemented
67	#16811313	C₂²	1	2	yes	complemented
68	#16811312	C₂²	1	2	yes	complemented
69	#16811311	C₂²	1	2	yes	complemented
70	#16811310	C₂²	1	4	yes	complemented
71	#16811309	C₂²	1	4	yes	complemented
72	#16811308	C₂²	1	2	yes	complemented
73	#16811307	C₂²	1	2	yes	complemented
74	#16811306	C₂²	1	4	yes	complemented
75	#16811305	C₂²	1	4	yes	complemented
76	#16811304	C₂²	1	4	yes	complemented
77	#16811303	C₂²	1	4	yes	complemented
78	#16811302	C₂²	1	4	yes	complemented
79	#16811302	C₂²	1	4	yes	complemented
80	#16811301	C₂²	1	4	yes	complemented
81	#16811300	C₂²	1	4	yes	complemented
82	#16811300	C₂²	1	4	yes	complemented
83	#16811299	C₂²	1	4	yes	complemented
84	#16811299	C₂²	1	4	yes	complemented
85	#16811298	C₂²	1	4	yes	complemented
86	#16811298	C₂²	1	4	yes	complemented
87	#16811297	C₂²	1	4	yes	complemented
88	#16811297	C₂²	1	4	yes	complemented
89	#16811296	C₂²	1	4	yes	complemented
90	#16811296	C₂²	1	4	yes	complemented
91	#16811285	C₂²	1	2	yes	complemented
92	#16811284	C₂²	1	2	yes	complemented
93	#16811283	C₂²	1	2	yes	complemented
94	#16811283	C₂²	1	4	yes	complemented
95	#16811282	C₂²	1	2	yes	complemented
96	#16811282	C₂²	1	4	yes	complemented
97	#16811281	C₂²	1	2	yes	complemented
98	#16811281	C₂²	1	4	yes	complemented
99	#16811280	C₂²	1	2	yes	complemented
100	#16811279	C₂²	1	2	yes	complemented
101	#16811279	C₂²	1	4	yes	complemented
102	#16811270	C₂²	1	2	yes	complemented
103	#16811269	C₂²	1	2	yes	complemented
104	#16811268	C₂²	1	2	yes	complemented
105	#16811267	C₂²	1	2	yes	complemented
106	#16811266	C₂²	1	2	yes	complemented
107	#16811265	C₂²	1	4	yes	complemented
108	#16811264	C₂²	1	2	yes	complemented
109	#16811263	C₂²	1	4	yes	complemented
110	#16811262	C₂²	1	4	yes	complemented
111	#16811261	C₂²	1	2	yes	complemented
112	#16811260	C₂²	1	4	yes	complemented
113	#16811222	C₂²	1	2	yes	complemented
114	#16811221	C₂²	1	4	yes	complemented
115	#16811220	C₂²	1	2	yes	complemented
116	#16811219	C₂²	1	4	yes	complemented
117	#16811218	C₂²	1	2	yes	complemented
118	#16811217	C₂²	1	4	yes	complemented
119	#16811216	C₂²	1	4	yes	complemented
120	#16811215	C₂²	1	4	yes	complemented
121	#16811214	C₂²	1	4	yes	complemented
122	#16811213	C₂²	1	2	yes	complemented
123	#16811212	C₂²	1	4	yes	complemented
124	#16811211	C₂²	1	2	yes	complemented
125	#16811210	C₂²	1	2	yes	complemented
126	#16811209	C₂²	1	4	yes	complemented
127	#16811208	C₂²	1	4	yes	complemented
128	#16811207	C₂²	1	4	yes	complemented
129	#16811206	C₂²	1	4	yes	complemented
130	#16811205	C₂²	1	4	yes	complemented
131	#16811185	C₂²	1	2	yes	complemented
132	#16811184	C₂²	1	4	yes	complemented
133	#16811184	C₂²	1	4	yes	complemented
134	#16811183	C₂²	1	4	yes	complemented
135	#16811183	C₂²	1	4	yes	complemented
136	#16811182	C₂²	1	2	yes	complemented
137	#16811182	C₂²	1	2	yes	complemented
138	#16811181	C₂²	1	4	yes	complemented
139	#16811181	C₂²	1	4	yes	complemented
140	#16811160	C₂²	1	2	yes	complemented
141	#16811159	C₂²	1	2	yes	complemented
142	#16811158	C₂²	1	2	yes	complemented
143	#16811157	C₂²	1	2	yes	complemented
144	#16811156	C₂²	1	4	yes	complemented
145	#16811155	C₂²	1	2	yes	complemented
146	#16811154	C₂²	1	2	yes	complemented
147	#16811153	C₂²	1	4	yes	complemented
148	#16811152	C₂²	1	2	yes	complemented
149	#16811151	C₂²	1	4	yes	complemented
150	#16811150	C₂²	1	4	yes	complemented
151	#126×D₅₃	C₂²	1	4	yes	complemented
152	#126×D₅₃	C₂²	1	4	yes	complemented
153	#126×D₅₃	C₂²	1	4	yes	complemented
154	#125×D₅₃	C₂²	1	4	yes	complemented
155	#125×D₅₃	C₂²	1	2	yes	complemented
156	#124×D₅₃	C₂²	1	4	yes	complemented
157	#124×D₅₃	C₂²	1	2	yes	complemented
158	#16811136	C₂²	1	2	yes	complemented
159	#16811136	C₂²	1	2	yes	complemented
160	#16811135	C₂²	1	2	yes	complemented
161	#16811134	C₂²	1	2	yes	complemented
162	#16811133	C₂²	1	2	yes	complemented
163	#16811133	C₂²	1	2	yes	complemented
164	#16811132	C₂²	1	4	yes	complemented
165	#16811132	C₂²	1	4	yes	complemented
166	#16811131	C₂²	1	4	yes	complemented
167	#16811130	C₂²	1	2	yes	complemented
168	#16811129	C₂²	1	4	yes	complemented
169	#123×D₅₃	C₂²	1	4	yes	—
170	#123×D₅₃	C₂²	1	4	yes	complemented
171	#123×D₅₃	C₂²	1	4	yes	complemented
172	#123×D₅₃	C₂²	1	4	yes	complemented
173	#123×D₅₃	C₂²	1	4	yes	complemented
174	C₂×#13133197	C₂²	1	1	yes	characteristic, complemented
175	C₂×#13133196	C₂²	1	1	yes	characteristic, complemented
176	C₂×#13133195	C₂²	1	2	yes	complemented
177	C₂×#13133194	C₂²	1	2	yes	complemented
178	C₂×#13133193	C₂²	1	1	yes	characteristic, complemented
179	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
180	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
181	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
182	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
183	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
184	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
185	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
186	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
187	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
188	C₂²⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
189	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
190	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
191	C₂×#13133190	C₂²	1	2	yes	complemented
192	C₂×#13133189	C₂²	1	2	yes	complemented
193	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
194	#121×D₅₃	C₂²	1	2	yes	—
195	#121×D₅₃	C₂²	1	2	yes	—
196	#121×D₅₃	C₂²	1	2	yes	complemented
197	#121×D₅₃	C₂²	1	2	yes	complemented
198	#121×D₅₃	C₂²	1	4	yes	complemented
199	#121×D₅₃	C₂²	1	4	yes	complemented
200	#121×D₅₃	C₂²	1	4	yes	complemented
201	#121×D₅₃	C₂²	1	2	yes	complemented
202	#121×D₅₃	C₂²	1	2	yes	complemented
203	#121×D₅₃	C₂²	1	2	yes	complemented
204	#121×D₅₃	C₂²	1	2	yes	complemented
205	#121×D₅₃	C₂²	1	2	yes	complemented
206	#120×D₅₃	C₂²	1	4	yes	—
207	#120×D₅₃	C₂²	1	4	yes	complemented
208	#16811098	C₂²	1	2	yes	complemented
209	#16811097	C₂²	1	4	yes	complemented
210	#16811096	C₂²	1	2	yes	complemented
211	#16811096	C₂²	1	2	yes	complemented
212	#16811096	C₂²	1	4	yes	complemented
213	#16811095	C₂²	1	4	yes	complemented
214	#16811095	C₂²	1	4	yes	complemented
215	#16811095	C₂²	1	4	yes	complemented
216	#16811095	C₂²	1	4	yes	complemented
217	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
218	C₂×C₄×D₂₁₂	C₂²	1	1	yes	characteristic, complemented
219	C₂×D₄×Dic₅₃	C₂²	1	1	yes	characteristic, complemented
220	C₂×#13133179	C₂²	1	1	yes	characteristic, complemented
221	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
222	C₂×C₄×C₂²⋊D₅₃	C₂²	1	1	yes	characteristic, complemented
223	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
224	C₂×#13133177	C₂²	1	1	yes	characteristic, complemented
225	C₄×D₄×D₅₃	C₂²	1	2	yes	—
226	C₄×D₄×D₅₃	C₂²	1	2	yes	—
227	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
228	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
229	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
230	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
231	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
232	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
233	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
234	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
235	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
236	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
237	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
238	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
239	#117×D₅₃	C₂²	1	4	yes	complemented
240	#117×D₅₃	C₂²	1	2	yes	complemented
241	#117×D₅₃	C₂²	1	4	yes	complemented
242	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
243	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
244	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
245	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
246	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
247	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
248	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
249	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	complemented
250	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	complemented
251	C₂×C₄²×D₅₃	C₂²	1	1	yes	characteristic, complemented
252	C₅₃×#553	C₂²	1	2	yes	complemented
253	C₅₃×#553	C₂²	1	4	yes	complemented
254	C₅₃×#552	C₂²	1	2	yes	complemented
255	C₅₃×#551	C₂²	1	4	yes	complemented
256	C₅₃×#548	C₂²	1	2	yes	complemented
257	C₅₃×#546	C₂²	1	2	yes	complemented
258	C₅₃×#539	C₂²	1	2	yes	complemented
259	C₅₃×#538	C₂²	1	2	yes	complemented
260	C₅₃×#534	C₂²	1	2	yes	complemented
261	C₅₃×#529	C₂²	1	2	yes	complemented
262	C₅₃×#525	C₂²	1	2	yes	complemented
263	C₂×C₂²⋊Q₈×C₅₃	C₂²	1	1	yes	characteristic, complemented
264	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
265	C₅₃×#518	C₂²	1	2	yes	complemented
266	C₂×C₄×D₄×C₅₃	C₂²	1	1	yes	characteristic, complemented
267	C₂⁴×D₅₃	C₂³	1	2	yes	—
268	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
269	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
270	C₂×#11719949	C₂³	1	2	yes	complemented
271	C₂×#11719945	C₂³	1	4	yes	complemented
272	C₂×#11719945	C₂³	1	2	yes	complemented
273	C₂×#11719947	C₂³	1	2	yes	complemented
274	C₂×#11719947	C₂³	1	4	yes	complemented
275	#41×D₅₃	—	4	8	no	—
276	C₂²×Dic₁₀₆	C₂³	1	2	yes	complemented
277	C₂²×Dic₁₀₆	C₂³	1	1	yes	characteristic, complemented
278	C₂×Q₈×D₅₃	—	4	4	no	—
279	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
280	C₂×Q₈×D₅₃	C₂³	1	2	yes	—
281	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
282	C₂×Q₈×D₅₃	C₂³	1	2	yes	complemented
283	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
284	C₂²×D₂₁₂	C₂³	1	2	yes	—
285	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic, complemented
286	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
287	C₂²×C₂²⋊D₅₃	C₂³	1	1	yes	characteristic
288	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
289	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
290	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
291	C₂×D₄×D₅₃	—	2	8	no	—
292	C₂×D₄×D₅₃	—	2	16	no	—
293	C₂×D₄×D₅₃	—	4	4	no	—
294	C₂×D₄×D₅₃	C₂³	1	2	yes	—
295	C₂×D₄×D₅₃	C₂³	1	4	yes	—
296	C₂×D₄×D₅₃	C₂³	1	2	yes	—
297	C₂×D₄×D₅₃	C₂³	1	4	yes	—
298	C₂×D₄×D₅₃	C₂³	1	2	yes	—
299	C₂×D₄×D₅₃	C₂³	1	2	yes	—
300	C₂×D₄×D₅₃	C₂³	1	2	yes	—
301	C₂×D₄×D₅₃	C₂³	1	4	yes	—
302	C₂×D₄×D₅₃	C₂³	1	4	yes	—
303	C₂×D₄×D₅₃	C₂³	1	4	yes	—
304	C₂×D₄×D₅₃	C₂³	1	4	yes	—
305	C₂×D₄×D₅₃	C₂³	1	2	yes	—
306	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
307	C₂×D₄×D₅₃	C₂³	1	2	yes	complemented
308	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
309	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
310	C₂²×C₄×D₅₃	—	4	4	no	—
311	C₂²×C₄×D₅₃	—	4	4	no	—
312	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
313	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
314	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
315	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
316	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
317	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
318	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
319	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
320	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
321	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
322	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
323	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
324	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
325	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
326	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
327	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
328	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
329	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
330	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
331	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
332	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
333	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
334	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
335	C₂²×C₄×D₅₃	C₂³	1	2	yes	complemented
336	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
337	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
338	#13133212	C₂³	1	4	yes	complemented
339	#13133212	C₂³	1	4	yes	complemented
340	#13133212	C₂³	1	4	yes	complemented
341	#13133212	C₂³	1	4	yes	complemented
342	#13133212	C₂³	1	4	yes	complemented
343	#13133212	C₂³	1	4	yes	complemented
344	#13133212	C₂³	1	4	yes	complemented
345	#13133212	C₂³	1	4	yes	complemented
346	#13133212	C₂³	1	4	yes	complemented
347	#13133211	C₂³	1	4	yes	complemented
348	#13133211	C₂³	1	4	yes	complemented
349	#13133211	C₂³	1	4	yes	complemented
350	#13133210	C₂³	1	4	yes	complemented
351	#13133210	C₂³	1	4	yes	complemented
352	#13133210	C₂³	1	4	yes	complemented
353	#13133210	C₂³	1	4	yes	complemented
354	#13133210	C₂³	1	4	yes	complemented
355	#13133210	C₂³	1	4	yes	complemented
356	#13133210	C₂³	1	4	yes	complemented
357	#13133210	C₂³	1	4	yes	complemented
358	#13133210	C₂³	1	4	yes	complemented
359	#13133209	C₂³	1	4	yes	complemented
360	#13133209	C₂³	1	2	yes	complemented
361	#13133208	C₂³	1	2	yes	complemented
362	#13133208	C₂³	1	4	yes	complemented
363	#13133208	C₂³	1	4	yes	complemented
364	#13133208	C₂³	1	2	yes	complemented
365	#13133207	C₂³	1	4	yes	complemented
366	#13133207	C₂³	1	4	yes	complemented
367	#13133207	C₂³	1	4	yes	complemented
368	#13133207	C₂³	1	4	yes	complemented
369	#13133207	C₂³	1	4	yes	complemented
370	#13133207	C₂³	1	4	yes	complemented
371	#13133206	C₂³	1	2	yes	complemented
372	#13133206	C₂³	1	4	yes	complemented
373	#13133205	C₂³	1	2	yes	complemented
374	#13133205	C₂³	1	4	yes	complemented
375	#13133204	C₂³	1	2	yes	complemented
376	#13133204	C₂³	1	4	yes	complemented
377	#13133203	C₂³	1	4	yes	complemented
378	#13133203	C₂³	1	4	yes	complemented
379	#13133203	C₂³	1	4	yes	complemented
380	#13133203	C₂³	1	4	yes	complemented
381	#13133203	C₂³	1	4	yes	complemented
382	#13133203	C₂³	1	4	yes	complemented
383	#13133202	C₂³	1	4	yes	—
384	#13133202	C₂³	1	4	yes	—
385	#13133202	C₂³	1	4	yes	complemented
386	#13133202	C₂³	1	4	yes	complemented
387	#13133202	C₂³	1	4	yes	complemented
388	#13133202	C₂³	1	4	yes	complemented
389	#13133202	C₂³	1	4	yes	complemented
390	#13133202	C₂³	1	4	yes	complemented
391	#13133202	C₂³	1	4	yes	complemented
392	#13133202	C₂³	1	4	yes	complemented
393	#13133201	C₂³	1	4	yes	—
394	#13133201	C₂³	1	4	yes	complemented
395	#13133201	C₂³	1	4	yes	complemented
396	#13133201	C₂³	1	4	yes	complemented
397	#13133201	C₂³	1	4	yes	complemented
398	#13133200	C₂³	1	4	yes	—
399	#13133200	C₂³	1	4	yes	complemented
400	#13133200	C₂³	1	4	yes	complemented
401	#13133200	C₂³	1	4	yes	complemented
402	#13133200	C₂³	1	4	yes	complemented
403	#13133199	C₂³	1	4	yes	—
404	#13133199	C₂³	1	4	yes	—
405	#13133199	C₂³	1	4	yes	complemented
406	#13133199	C₂³	1	4	yes	complemented
407	#13133199	C₂³	1	4	yes	complemented
408	#13133199	C₂³	1	4	yes	complemented
409	#13133199	C₂³	1	4	yes	complemented
410	#13133199	C₂³	1	4	yes	complemented
411	#13133199	C₂³	1	4	yes	complemented
412	#13133199	C₂³	1	4	yes	complemented
413	#13133198	C₂³	1	4	yes	—
414	#13133198	C₂³	1	4	yes	complemented
415	#13133198	C₂³	1	4	yes	complemented
416	#13133198	C₂³	1	4	yes	complemented
417	#13133198	C₂³	1	4	yes	complemented
418	#13133197	C₂³	1	2	yes	complemented
419	#13133197	C₂³	1	4	yes	complemented
420	#13133197	C₂³	1	2	yes	complemented
421	#13133197	C₂³	1	2	yes	complemented
422	#13133197	C₂³	1	2	yes	complemented
423	#13133197	C₂³	1	2	yes	complemented
424	#13133196	C₂³	1	2	yes	complemented
425	#13133196	C₂³	1	4	yes	complemented
426	#13133196	C₂³	1	2	yes	complemented
427	#13133196	C₂³	1	2	yes	complemented
428	#13133196	C₂³	1	2	yes	complemented
429	#13133196	C₂³	1	2	yes	complemented
430	#13133195	C₂³	1	4	yes	complemented
431	#13133195	C₂³	1	4	yes	complemented
432	#13133195	C₂³	1	4	yes	complemented
433	#13133195	C₂³	1	4	yes	complemented
434	#13133195	C₂³	1	4	yes	complemented
435	#13133195	C₂³	1	4	yes	complemented
436	#13133195	C₂³	1	4	yes	complemented
437	#13133194	C₂³	1	4	yes	complemented
438	#13133194	C₂³	1	4	yes	complemented
439	#13133194	C₂³	1	4	yes	complemented
440	#13133194	C₂³	1	4	yes	complemented
441	#13133194	C₂³	1	4	yes	complemented
442	#13133194	C₂³	1	4	yes	complemented
443	#13133194	C₂³	1	4	yes	complemented
444	#13133193	C₂³	1	2	yes	complemented
445	#13133193	C₂³	1	4	yes	complemented
446	#13133193	C₂³	1	2	yes	complemented
447	#13133193	C₂³	1	2	yes	complemented
448	#13133193	C₂³	1	2	yes	complemented
449	#13133193	C₂³	1	2	yes	complemented
450	#13133192	C₂³	1	2	yes	—
451	#13133192	C₂³	1	2	yes	—
452	#13133192	C₂³	1	4	yes	complemented
453	#13133192	C₂³	1	2	yes	complemented
454	#13133192	C₂³	1	2	yes	complemented
455	#13133192	C₂³	1	4	yes	complemented
456	#13133192	C₂³	1	4	yes	complemented
457	#13133192	C₂³	1	2	yes	complemented
458	#13133191	C₂³	1	2	yes	—
459	#13133191	C₂³	1	2	yes	—
460	#13133191	C₂³	1	4	yes	complemented
461	#13133191	C₂³	1	2	yes	complemented
462	#13133191	C₂³	1	2	yes	complemented
463	#13133191	C₂³	1	4	yes	complemented
464	#13133191	C₂³	1	4	yes	complemented
465	#13133191	C₂³	1	2	yes	complemented
466	#13133190	C₂³	1	4	yes	—
467	#13133190	C₂³	1	4	yes	—
468	#13133190	C₂³	1	4	yes	complemented
469	#13133190	C₂³	1	4	yes	complemented
470	#13133190	C₂³	1	4	yes	complemented
471	#13133190	C₂³	1	4	yes	complemented
472	#13133190	C₂³	1	4	yes	complemented
473	#13133190	C₂³	1	4	yes	complemented
474	#13133190	C₂³	1	4	yes	complemented
475	#13133190	C₂³	1	4	yes	complemented
476	#13133190	C₂³	1	4	yes	complemented
477	#13133189	C₂³	1	4	yes	—
478	#13133189	C₂³	1	4	yes	—
479	#13133189	C₂³	1	4	yes	complemented
480	#13133189	C₂³	1	4	yes	complemented
481	#13133189	C₂³	1	4	yes	complemented
482	#13133189	C₂³	1	4	yes	complemented
483	#13133189	C₂³	1	4	yes	complemented
484	#13133189	C₂³	1	4	yes	complemented
485	#13133189	C₂³	1	4	yes	complemented
486	#13133189	C₂³	1	4	yes	complemented
487	#13133189	C₂³	1	4	yes	complemented
488	#13133188	C₂³	1	2	yes	—
489	#13133188	C₂³	1	2	yes	—
490	#13133188	C₂³	1	2	yes	complemented
491	#13133188	C₂³	1	4	yes	complemented
492	#13133188	C₂³	1	4	yes	complemented
493	#13133188	C₂³	1	2	yes	complemented
494	#13133188	C₂³	1	2	yes	complemented
495	#13133188	C₂³	1	4	yes	complemented
496	#13133187	C₂³	1	4	yes	—
497	#13133187	C₂³	1	4	yes	—
498	#13133187	C₂³	1	4	yes	—
499	#13133187	C₂³	1	4	yes	complemented
500	#13133187	C₂³	1	4	yes	complemented
501	#13133187	C₂³	1	4	yes	complemented
502	#13133186	C₂³	1	4	yes	—
503	#13133186	C₂³	1	4	yes	complemented
504	#13133185	C₂³	1	4	yes	—
505	#13133185	C₂³	1	4	yes	—
506	#13133185	C₂³	1	4	yes	—
507	#13133185	C₂³	1	4	yes	complemented
508	#13133185	C₂³	1	4	yes	complemented
509	#13133185	C₂³	1	4	yes	complemented
510	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
511	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
512	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
513	#13133182	C₂³	1	4	yes	complemented
514	#13133182	C₂³	1	2	yes	complemented
515	C₄×D₂₁₂	C₂³	1	2	yes	—
516	C₄×D₂₁₂	C₂³	1	2	yes	—
517	C₄×D₂₁₂	C₂³	1	2	yes	complemented
518	C₄×D₂₁₂	C₂³	1	4	yes	complemented
519	C₄×D₂₁₂	C₂³	1	2	yes	complemented
520	C₄×D₂₁₂	C₂³	1	4	yes	complemented
521	C₄×D₂₁₂	C₂³	1	2	yes	complemented
522	C₄×D₂₁₂	C₂³	1	4	yes	complemented
523	C₄×D₂₁₂	C₂³	1	4	yes	complemented
524	C₄×D₂₁₂	C₂³	1	4	yes	complemented
525	D₄×Dic₅₃	C₂³	1	2	yes	—
526	D₄×Dic₅₃	C₂³	1	2	yes	—
527	D₄×Dic₅₃	C₂³	1	2	yes	complemented
528	D₄×Dic₅₃	C₂³	1	2	yes	complemented
529	D₄×Dic₅₃	C₂³	1	4	yes	complemented
530	D₄×Dic₅₃	C₂³	1	4	yes	complemented
531	D₄×Dic₅₃	C₂³	1	4	yes	complemented
532	D₄×Dic₅₃	C₂³	1	2	yes	complemented
533	D₄×Dic₅₃	C₂³	1	4	yes	complemented
534	D₄×Dic₅₃	C₂³	1	4	yes	complemented
535	#13133179	C₂³	1	2	yes	—
536	#13133179	C₂³	1	2	yes	—
537	#13133179	C₂³	1	2	yes	complemented
538	#13133179	C₂³	1	4	yes	complemented
539	#13133179	C₂³	1	2	yes	complemented
540	#13133179	C₂³	1	4	yes	complemented
541	#13133179	C₂³	1	2	yes	complemented
542	#13133179	C₂³	1	4	yes	complemented
543	#13133179	C₂³	1	4	yes	complemented
544	#13133179	C₂³	1	4	yes	complemented
545	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
546	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
547	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
548	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	—
549	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
550	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
551	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
552	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
553	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
554	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
555	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
556	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
557	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
558	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
559	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
560	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
561	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
562	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
563	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
564	#13133177	C₂³	1	2	yes	—
565	#13133177	C₂³	1	2	yes	—
566	#13133177	C₂³	1	2	yes	—
567	#13133177	C₂³	1	2	yes	—
568	#13133177	C₂³	1	4	yes	complemented
569	#13133177	C₂³	1	2	yes	complemented
570	#13133177	C₂³	1	4	yes	complemented
571	#13133177	C₂³	1	4	yes	complemented
572	#13133177	C₂³	1	2	yes	complemented
573	#13133177	C₂³	1	4	yes	complemented
574	#13133177	C₂³	1	4	yes	complemented
575	#13133177	C₂³	1	4	yes	complemented
576	#13133177	C₂³	1	2	yes	complemented
577	#13133177	C₂³	1	4	yes	complemented
578	#13133177	C₂³	1	2	yes	complemented
579	#13133177	C₂³	1	4	yes	complemented
580	#13133177	C₂³	1	4	yes	complemented
581	#13133177	C₂³	1	4	yes	complemented
582	#13133177	C₂³	1	4	yes	complemented
583	#13133176	C₂³	1	4	yes	complemented
584	#13133176	C₂³	1	4	yes	complemented
585	#13133176	C₂³	1	2	yes	complemented
586	#13133175	C₂³	1	4	yes	complemented
587	#13133175	C₂³	1	4	yes	complemented
588	#13133175	C₂³	1	4	yes	complemented
589	#13133175	C₂³	1	4	yes	complemented
590	#13133175	C₂³	1	2	yes	complemented
591	#13133175	C₂³	1	2	yes	complemented
592	#13133174	C₂³	1	4	yes	complemented
593	#13133174	C₂³	1	4	yes	complemented
594	#13133174	C₂³	1	4	yes	complemented
595	#13133174	C₂³	1	4	yes	complemented
596	#13133174	C₂³	1	4	yes	complemented
597	#13133173	C₂³	1	4	yes	complemented
598	#13133173	C₂³	1	4	yes	complemented
599	#13133173	C₂³	1	4	yes	complemented
600	#13133173	C₂³	1	4	yes	complemented
601	#13133173	C₂³	1	4	yes	complemented
602	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
603	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
604	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
605	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
606	C₂×#11719919	C₂³	1	2	yes	complemented
607	C₂×#11719919	C₂³	1	2	yes	complemented
608	C₂×#11719919	C₂³	1	2	yes	complemented
609	C₂×#11719919	C₂³	1	2	yes	complemented
610	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
611	C₂×#11719919	C₂³	1	1	yes	characteristic, complemented
612	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
613	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
614	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
615	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
616	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
617	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
618	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
619	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
620	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
621	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
622	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
623	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
624	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
625	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
626	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
627	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
628	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
629	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
630	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
631	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
632	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic
633	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
634	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	complemented
635	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	complemented
636	C₂×C₂²⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
637	C₂×#11719921	C₂³	1	1	yes	characteristic
638	C₂×#11719921	C₂³	1	1	yes	characteristic
639	C₂×#11719921	C₂³	1	2	yes	—
640	C₂×#11719921	C₂³	1	2	yes	—
641	C₂×#11719921	C₂³	1	4	yes	complemented
642	C₂×#11719921	C₂³	1	4	yes	complemented
643	C₂×#11719921	C₂³	1	2	yes	complemented
644	C₂×#11719921	C₂³	1	2	yes	complemented
645	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
646	C₂×#11719921	C₂³	1	1	yes	characteristic, complemented
647	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
648	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
649	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
650	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
651	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
652	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
653	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
654	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
655	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
656	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
657	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
658	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
659	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
660	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
661	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
662	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
663	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
664	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
665	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
666	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
667	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
668	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
669	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
670	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	complemented
671	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
672	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	complemented
673	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
674	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
675	C₂×C₄×Dic₅₃	C₂³	1	1	yes	characteristic, complemented
676	C₄²×D₅₃	C₂³	1	2	yes	—
677	C₄²×D₅₃	C₂³	1	2	yes	—
678	C₄²×D₅₃	C₂³	1	4	yes	—
679	C₄²×D₅₃	C₂³	1	4	yes	—
680	C₄²×D₅₃	C₂³	1	2	yes	complemented
681	C₄²×D₅₃	C₂³	1	2	yes	complemented
682	C₂×#41×C₅₃	C₂³	1	2	yes	complemented
683	C₂²×Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
684	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
685	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
686	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
687	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
688	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
689	#126×C₅₃	C₂³	1	4	yes	complemented
690	#126×C₅₃	C₂³	1	4	yes	complemented
691	#126×C₅₃	C₂³	1	4	yes	complemented
692	#125×C₅₃	C₂³	1	4	yes	complemented
693	#125×C₅₃	C₂³	1	2	yes	complemented
694	#124×C₅₃	C₂³	1	2	yes	complemented
695	#124×C₅₃	C₂³	1	4	yes	complemented
696	#123×C₅₃	C₂³	1	4	yes	—
697	#123×C₅₃	C₂³	1	4	yes	complemented
698	#123×C₅₃	C₂³	1	4	yes	complemented
699	#123×C₅₃	C₂³	1	4	yes	complemented
700	#123×C₅₃	C₂³	1	4	yes	complemented
701	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
702	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
703	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
704	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
705	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
706	C₂²⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
707	#121×C₅₃	C₂³	1	2	yes	—
708	#121×C₅₃	C₂³	1	2	yes	—
709	#121×C₅₃	C₂³	1	2	yes	complemented
710	#121×C₅₃	C₂³	1	2	yes	complemented
711	#121×C₅₃	C₂³	1	4	yes	complemented
712	#121×C₅₃	C₂³	1	2	yes	complemented
713	#121×C₅₃	C₂³	1	4	yes	complemented
714	#121×C₅₃	C₂³	1	4	yes	complemented
715	#120×C₅₃	C₂³	1	4	yes	—
716	#120×C₅₃	C₂³	1	4	yes	complemented
717	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
718	C₄×D₄×C₅₃	C₂³	1	2	yes	—
719	C₄×D₄×C₅₃	C₂³	1	2	yes	—
720	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
721	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
722	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
723	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
724	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
725	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
726	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
727	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
728	#117×C₅₃	C₂³	1	4	yes	complemented
729	#117×C₅₃	C₂³	1	4	yes	complemented
730	#117×C₅₃	C₂³	1	2	yes	complemented
731	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
732	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
733	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
734	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
735	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
736	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
737	C₂×C₂²⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
738	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	complemented
739	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	complemented
740	C₂×C₄²×C₅₃	C₂³	1	1	yes	characteristic, complemented
741	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
742	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
743	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
744	C₂³×D₅₃	—	2	4	no	—
745	C₂³×D₅₃	—	2	8	no	—
746	C₂³×D₅₃	—	4	2	no	—
747	C₂³×D₅₃	—	4	2	no	—
748	C₂³×D₅₃	—	4	2	no	—
749	C₂³×D₅₃	—	4	2	no	—
750	C₂³×D₅₃	—	4	4	no	—
751	C₂³×D₅₃	—	4	4	no	—
752	C₂³×D₅₃	#41	1	8	yes	complemented
753	C₂³×D₅₃	C₂⁴	1	2	yes	—
754	C₂³×D₅₃	C₂⁴	1	4	yes	—
755	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
756	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
757	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
758	C₂³×D₅₃	C₂⁴	1	4	yes	—
759	C₂³×D₅₃	C₂⁴	1	2	yes	—
760	C₂³×D₅₃	C₂⁴	1	2	yes	—
761	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
762	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
763	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
764	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
765	#41×C₅₃	—	4	4	no	—
766	C₂×Q₈×C₅₃	—	4	2	no	—
767	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
768	C₂×Q₈×C₅₃	C₂⁴	1	2	yes	—
769	C₂×D₄×C₅₃	—	2	4	no	—
770	C₂×D₄×C₅₃	—	2	8	no	—
771	C₂×D₄×C₅₃	—	4	2	no	—
772	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
773	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
774	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
775	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
776	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
777	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
778	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
779	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
780	C₂²×C₄×C₅₃	—	4	2	no	—
781	C₂²×C₄×C₅₃	—	4	2	no	—
782	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
783	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
784	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
785	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
786	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
787	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
788	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
789	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
790	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
791	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
792	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
793	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
794	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
795	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
796	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
797	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
798	C₂×C₂²⋊D₅₃	—	2	4	no	—
799	C₂×C₂²⋊D₅₃	—	2	8	no	—
800	C₂×C₂²⋊D₅₃	—	2	8	no	—
801	C₂×C₂²⋊D₅₃	—	2	4	no	—
802	C₂×C₂²⋊D₅₃	—	4	4	no	—
803	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
804	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
805	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
806	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
807	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
808	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
809	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
810	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
811	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
812	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
813	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
814	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
815	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
816	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
817	C₂²×Dic₅₃	—	4	2	no	—
818	C₂²×Dic₅₃	—	4	2	no	—
819	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
820	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
821	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
822	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
823	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
824	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
825	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
826	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
827	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
828	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
829	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
830	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
831	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
832	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
833	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
834	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
835	#11719949	—	4	4	no	—
836	Q₈×D₅₃	—	2	8	no	—
837	Q₈×D₅₃	—	4	4	no	—
838	Q₈×D₅₃	—	4	4	no	—
839	Q₈×D₅₃	—	4	4	no	—
840	#11719947	—	4	4	no	—
841	#11719947	—	4	8	no	—
842	D₄×D₅₃	—	2	8	no	—
843	D₄×D₅₃	—	2	16	no	—
844	D₄×D₅₃	—	2	8	no	—
845	D₄×D₅₃	—	2	16	no	—
846	D₄×D₅₃	—	2	8	no	—
847	D₄×D₅₃	—	2	8	no	—
848	D₄×D₅₃	—	2	16	no	—
849	D₄×D₅₃	—	2	16	no	—
850	D₄×D₅₃	—	2	8	no	—
851	D₄×D₅₃	—	4	4	no	—
852	D₄×D₅₃	—	4	4	no	—
853	D₄×D₅₃	—	4	4	no	—
854	D₄×D₅₃	—	4	8	no	—
855	D₄×D₅₃	—	4	8	no	—
856	#11719945	—	4	8	no	—
857	#11719945	—	4	4	no	—
858	C₂×D₂₁₂	—	2	4	no	—
859	C₂×D₂₁₂	—	2	8	no	—
860	C₂×D₂₁₂	—	4	2	no	—
861	C₂×D₂₁₂	C₂⁴	1	2	yes	—
862	C₂×D₂₁₂	C₂⁴	1	4	yes	—
863	C₂×D₂₁₂	C₂⁴	1	4	yes	—
864	C₂×D₂₁₂	C₂⁴	1	2	yes	—
865	C₂×D₂₁₂	C₂⁴	1	2	yes	—
866	C₂×D₂₁₂	C₂⁴	1	4	yes	—
867	C₂×D₂₁₂	C₂⁴	1	4	yes	—
868	C₂×D₂₁₂	C₂⁴	1	2	yes	—
869	C₂×C₄×D₅₃	—	2	8	no	—
870	C₂×C₄×D₅₃	—	2	4	no	—
871	C₂×C₄×D₅₃	—	2	4	no	—
872	C₂×C₄×D₅₃	—	2	4	no	—
873	C₂×C₄×D₅₃	—	2	4	no	—
874	C₂×C₄×D₅₃	—	2	8	no	—
875	C₂×C₄×D₅₃	—	4	2	no	—
876	C₂×C₄×D₅₃	—	4	2	no	—
877	C₂×C₄×D₅₃	—	4	2	no	—
878	C₂×C₄×D₅₃	—	4	4	no	—
879	C₂×C₄×D₅₃	—	4	2	no	—
880	C₂×C₄×D₅₃	—	4	2	no	—
881	C₂×C₄×D₅₃	—	4	2	no	—
882	C₂×C₄×D₅₃	—	4	2	no	—
883	C₂×C₄×D₅₃	—	4	4	no	—
884	C₂×C₄×D₅₃	—	4	2	no	—
885	C₂×C₄×D₅₃	—	4	2	no	—
886	C₂×C₄×D₅₃	—	4	4	no	—
887	C₂×C₄×D₅₃	—	4	2	no	—
888	C₂×C₄×D₅₃	—	4	2	no	—
889	C₂×C₄×D₅₃	—	4	2	no	—
890	C₂×C₄×D₅₃	—	4	2	no	—
891	C₂×C₄×D₅₃	—	4	8	no	—
892	C₂×C₄×D₅₃	—	4	4	no	—
893	C₂×C₄×D₅₃	—	4	4	no	—
894	C₂×C₄×D₅₃	—	4	8	no	—
895	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
896	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
897	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
898	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
899	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
900	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
901	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
902	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
903	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
904	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
905	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
906	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
907	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
908	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
909	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
910	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
911	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
912	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
913	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
914	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
915	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
916	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
917	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
918	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
919	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
920	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
921	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
922	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
923	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
924	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
925	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
926	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
927	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
928	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
929	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
930	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
931	C₂×Dic₁₀₆	—	4	4	no	—
932	C₂×Dic₁₀₆	—	4	2	no	—
933	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
934	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
935	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
936	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
937	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
938	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
939	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
940	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
941	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
942	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
943	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
944	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
945	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
946	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
947	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
948	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
949	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
950	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
951	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
952	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
953	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
954	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
955	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
956	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
957	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
958	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
959	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
960	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
961	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
962	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
963	C₄²×C₅₃	C₂⁴	1	2	yes	—
964	C₄²×C₅₃	C₂⁴	1	2	yes	—
965	C₄²×C₅₃	C₂⁴	1	4	yes	—
966	C₄²×C₅₃	C₂⁴	1	4	yes	—
967	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
968	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
969	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
970	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
971	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
972	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
973	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
974	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
975	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
976	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
977	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
978	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
979	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
980	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
981	#11719921	C₂⁴	1	2	yes	—
982	#11719921	C₂⁴	1	2	yes	—
983	#11719921	C₂⁴	1	4	yes	—
984	#11719921	C₂⁴	1	4	yes	—
985	#11719921	C₂⁴	1	2	yes	—
986	#11719921	C₂⁴	1	2	yes	—
987	#11719921	C₂⁴	1	4	yes	—
988	#11719921	C₂⁴	1	4	yes	—
989	#11719921	C₂⁴	1	4	yes	—
990	#11719921	C₂⁴	1	4	yes	—
991	#11719921	C₂⁴	1	2	yes	—
992	#11719921	C₂⁴	1	2	yes	—
993	#11719921	C₂⁴	1	4	yes	—
994	#11719921	C₂⁴	1	4	yes	—
995	#11719921	C₂⁴	1	4	yes	—
996	#11719921	C₂⁴	1	4	yes	—
997	#11719921	C₂⁴	1	2	yes	—
998	#11719921	C₂⁴	1	2	yes	—
999	#11719921	C₂⁴	1	4	yes	—
1000	#11719921	C₂⁴	1	4	yes	—
1001	#11719921	C₂⁴	1	4	yes	—
1002	#11719921	C₂⁴	1	4	yes	—
1003	#11719921	C₂⁴	1	4	yes	—
1004	#11719921	C₂⁴	1	4	yes	—
1005	#11719921	C₂⁴	1	4	yes	—
1006	#11719921	C₂⁴	1	4	yes	—
1007	#11719921	C₂⁴	1	4	yes	—
1008	#11719921	C₂⁴	1	4	yes	—
1009	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1010	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1011	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1012	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1013	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1014	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1015	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1016	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1017	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1018	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1019	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1020	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1021	#11719919	C₂⁴	1	4	yes	—
1022	#11719919	C₂⁴	1	4	yes	—
1023	#11719919	C₂⁴	1	4	yes	—
1024	#11719919	C₂⁴	1	4	yes	—
1025	#11719919	C₂⁴	1	2	yes	—
1026	#11719919	C₂⁴	1	2	yes	—
1027	#11719919	C₂⁴	1	2	yes	—
1028	#11719919	C₂⁴	1	2	yes	—
1029	#11719919	C₂⁴	1	4	yes	—
1030	#11719919	C₂⁴	1	4	yes	—
1031	#11719919	C₂⁴	1	4	yes	—
1032	#11719919	C₂⁴	1	4	yes	—
1033	#11719919	C₂⁴	1	4	yes	—
1034	#11719919	C₂⁴	1	4	yes	—
1035	#11719919	C₂⁴	1	4	yes	—
1036	#11719919	C₂⁴	1	4	yes	—
1037	#11719919	C₂⁴	1	4	yes	—
1038	#11719919	C₂⁴	1	4	yes	—
1039	#11719919	C₂⁴	1	4	yes	—
1040	#11719919	C₂⁴	1	4	yes	—
1041	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1042	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1043	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1044	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1045	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1046	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1047	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1048	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1049	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1050	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1051	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1052	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1053	C₂³×C₅₃	—	2	2	no	—
1054	C₂³×C₅₃	—	2	4	no	—
1055	C₂³×C₅₃	—	4	1	no	—
1056	C₂³×C₅₃	—	4	1	no	—
1057	C₂³×C₅₃	—	4	1	no	—
1058	C₂³×C₅₃	—	4	1	no	—
1059	C₂³×C₅₃	—	4	2	no	—
1060	C₂³×C₅₃	—	4	2	no	—
1061	C₂³×C₅₃	C₂×#41	1	4	yes	complemented
1062	C₂³×C₅₃	C₂⁵	1	2	yes	—
1063	C₂³×C₅₃	C₂⁵	1	4	yes	—
1064	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1065	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1066	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1067	C₂²×D₅₃	—	2	2	no	—
1068	C₂²×D₅₃	—	2	2	no	—
1069	C₂²×D₅₃	—	2	2	no	—
1070	C₂²×D₅₃	—	2	2	no	—
1071	C₂²×D₅₃	—	2	2	no	—
1072	C₂²×D₅₃	—	2	2	no	—
1073	C₂²×D₅₃	—	2	2	no	—
1074	C₂²×D₅₃	—	2	4	no	—
1075	C₂²×D₅₃	—	2	4	no	—
1076	C₂²×D₅₃	—	2	4	no	—
1077	C₂²×D₅₃	—	2	8	no	—
1078	C₂²×D₅₃	—	2	4	no	—
1079	C₂²×D₅₃	—	2	8	no	—
1080	C₂²×D₅₃	—	2	8	no	—
1081	C₂²×D₅₃	—	2	4	no	—
1082	C₂²×D₅₃	—	2	8	no	—
1083	C₂²×D₅₃	—	4	16	no	—
1084	C₂²×D₅₃	—	4	1	no	—
1085	C₂²×D₅₃	—	4	1	no	—
1086	C₂²×D₅₃	—	4	1	no	—
1087	C₂²×D₅₃	—	4	2	no	—
1088	C₂²×D₅₃	—	4	1	no	—
1089	C₂²×D₅₃	—	4	1	no	—
1090	C₂²×D₅₃	—	4	1	no	—
1091	C₂²×D₅₃	—	4	1	no	—
1092	C₂²×D₅₃	—	4	2	no	—
1093	C₂²×D₅₃	—	4	1	no	—
1094	C₂²×D₅₃	—	4	2	no	—
1095	C₂²×D₅₃	—	4	4	no	—
1096	C₂²×D₅₃	—	4	4	no	—
1097	C₂²×D₅₃	—	4	2	no	—
1098	C₂²×D₅₃	—	4	16	no	—
1099	C₂²×D₅₃	—	8	16	no	—
1100	C₂²×D₅₃	C₂×#41	1	4	yes	—
1101	C₂²×D₅₃	C₂×#41	1	4	yes	—
1102	C₂²×D₅₃	C₂×#41	1	4	yes	—
1103	C₂²×D₅₃	C₂×#41	1	4	yes	complemented
1104	C₂²×D₅₃	C₂×#41	1	4	yes	complemented
1105	C₂²×D₅₃	C₂×#41	1	4	yes	complemented
1106	C₂²×D₅₃	C₂⁵	1	2	yes	—
1107	C₂²×D₅₃	C₂⁵	1	4	yes	—
1108	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1109	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1110	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1111	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1112	Q₈×C₅₃	—	2	4	no	—
1113	Q₈×C₅₃	—	4	2	no	—
1114	D₄×C₅₃	—	2	4	no	—
1115	D₄×C₅₃	—	2	8	no	—
1116	D₄×C₅₃	—	2	4	no	—
1117	D₄×C₅₃	—	2	8	no	—
1118	D₄×C₅₃	—	2	4	no	—
1119	D₄×C₅₃	—	4	2	no	—
1120	D₄×C₅₃	—	4	4	no	—
1121	D₄×C₅₃	—	4	4	no	—
1122	C₂×C₄×C₅₃	—	2	4	no	—
1123	C₂×C₄×C₅₃	—	2	2	no	—
1124	C₂×C₄×C₅₃	—	2	2	no	—
1125	C₂×C₄×C₅₃	—	2	2	no	—
1126	C₂×C₄×C₅₃	—	2	2	no	—
1127	C₂×C₄×C₅₃	—	2	4	no	—
1128	C₂×C₄×C₅₃	—	4	2	no	—
1129	C₂×C₄×C₅₃	—	4	1	no	—
1130	C₂×C₄×C₅₃	—	4	1	no	—
1131	C₂×C₄×C₅₃	—	4	1	no	—
1132	C₂×C₄×C₅₃	—	4	2	no	—
1133	C₂×C₄×C₅₃	—	4	1	no	—
1134	C₂×C₄×C₅₃	—	4	4	no	—
1135	C₂×C₄×C₅₃	—	4	1	no	—
1136	C₂×C₄×C₅₃	—	4	4	no	—
1137	C₂×C₄×C₅₃	—	4	2	no	—
1138	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1139	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1140	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1141	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1142	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1143	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1144	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1145	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1146	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1147	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1148	C₂²⋊D₅₃	—	2	4	no	—
1149	C₂²⋊D₅₃	—	2	8	no	—
1150	C₂²⋊D₅₃	—	2	4	no	—
1151	C₂²⋊D₅₃	—	2	8	no	—
1152	C₂²⋊D₅₃	—	2	4	no	—
1153	C₂²⋊D₅₃	—	2	8	no	—
1154	C₂²⋊D₅₃	—	2	4	no	—
1155	C₂²⋊D₅₃	—	2	8	no	—
1156	C₂²⋊D₅₃	—	2	8	no	—
1157	C₂²⋊D₅₃	—	4	4	no	—
1158	C₂²⋊D₅₃	—	4	4	no	—
1159	C₂²⋊D₅₃	—	4	4	no	—
1160	C₂²⋊D₅₃	—	4	4	no	—
1161	C₂²⋊D₅₃	—	4	4	no	—
1162	C₂×Dic₅₃	—	2	4	no	—
1163	C₂×Dic₅₃	—	2	2	no	—
1164	C₂×Dic₅₃	—	2	2	no	—
1165	C₂×Dic₅₃	—	2	2	no	—
1166	C₂×Dic₅₃	—	2	4	no	—
1167	C₂×Dic₅₃	—	2	2	no	—
1168	C₂×Dic₅₃	—	4	2	no	—
1169	C₂×Dic₅₃	—	4	1	no	—
1170	C₂×Dic₅₃	—	4	1	no	—
1171	C₂×Dic₅₃	—	4	1	no	—
1172	C₂×Dic₅₃	—	4	2	no	—
1173	C₂×Dic₅₃	—	4	1	no	—
1174	C₂×Dic₅₃	—	4	4	no	—
1175	C₂×Dic₅₃	—	4	1	no	—
1176	C₂×Dic₅₃	—	4	4	no	—
1177	C₂×Dic₅₃	—	4	2	no	—
1178	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1179	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1180	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1181	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1182	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1183	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1184	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1185	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1186	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1187	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1188	D₂₁₂	—	2	4	no	—
1189	D₂₁₂	—	2	8	no	—
1190	D₂₁₂	—	2	4	no	—
1191	D₂₁₂	—	2	8	no	—
1192	D₂₁₂	—	2	4	no	—
1193	D₂₁₂	—	4	2	no	—
1194	D₂₁₂	—	4	4	no	—
1195	D₂₁₂	—	4	4	no	—
1196	C₄×D₅₃	—	2	8	no	—
1197	C₄×D₅₃	—	2	4	no	—
1198	C₄×D₅₃	—	2	8	no	—
1199	C₄×D₅₃	—	2	4	no	—
1200	C₄×D₅₃	—	2	2	no	—
1201	C₄×D₅₃	—	2	4	no	—
1202	C₄×D₅₃	—	2	2	no	—
1203	C₄×D₅₃	—	2	2	no	—
1204	C₄×D₅₃	—	2	8	no	—
1205	C₄×D₅₃	—	2	4	no	—
1206	C₄×D₅₃	—	2	8	no	—
1207	C₄×D₅₃	—	2	2	no	—
1208	C₄×D₅₃	—	2	2	no	—
1209	C₄×D₅₃	—	2	4	no	—
1210	C₄×D₅₃	—	2	2	no	—
1211	C₄×D₅₃	—	2	2	no	—
1212	C₄×D₅₃	—	2	4	no	—
1213	C₄×D₅₃	—	2	2	no	—
1214	C₄×D₅₃	—	2	2	no	—
1215	C₄×D₅₃	—	4	1	no	—
1216	C₄×D₅₃	—	4	1	no	—
1217	C₄×D₅₃	—	4	1	no	—
1218	C₄×D₅₃	—	4	2	no	—
1219	C₄×D₅₃	—	4	2	no	—
1220	C₄×D₅₃	—	4	2	no	—
1221	C₄×D₅₃	—	4	1	no	—
1222	C₄×D₅₃	—	4	1	no	—
1223	C₄×D₅₃	—	4	1	no	—
1224	C₄×D₅₃	—	4	2	no	—
1225	C₄×D₅₃	—	4	4	no	—
1226	C₄×D₅₃	—	4	4	no	—
1227	C₄×D₅₃	—	4	4	no	—
1228	C₄×D₅₃	—	4	4	no	—
1229	C₄×D₅₃	—	4	4	no	—
1230	C₄×D₅₃	—	4	4	no	—
1231	C₄×D₅₃	H(5,𝔽₂)	1	4	yes	—
1232	Dic₁₀₆	—	2	4	no	—
1233	Dic₁₀₆	—	2	8	no	—
1234	Dic₁₀₆	—	4	2	no	—
1235	Dic₁₀₆	—	4	4	no	—
1236	C₂×#3505	—	53	1	no	maximal, Sylow
1237	C₂²×C₅₃	—	2	1	no	—
1238	C₂²×C₅₃	—	2	1	no	—
1239	C₂²×C₅₃	—	2	1	no	—
1240	C₂²×C₅₃	—	2	1	no	—
1241	C₂²×C₅₃	—	2	1	no	—
1242	C₂²×C₅₃	—	2	1	no	—
1243	C₂²×C₅₃	—	2	2	no	—
1244	C₂²×C₅₃	—	2	4	no	—
1245	C₂²×C₅₃	—	2	2	no	—
1246	C₂²×C₅₃	—	2	4	no	—
1247	C₂²×C₅₃	—	2	4	no	—
1248	C₂²×C₅₃	—	2	2	no	—
1249	C₂²×C₅₃	—	4	4	no	—
1250	C₂²×C₅₃	—	4	4	no	—
1251	C₂²×C₅₃	—	8	4	no	—
1252	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1253	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1254	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1255	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1256	C₂×D₅₃	—	2	1	no	—
1257	C₂×D₅₃	—	2	1	no	—
1258	C₂×D₅₃	—	2	1	no	—
1259	C₂×D₅₃	—	2	1	no	—
1260	C₂×D₅₃	—	2	1	no	—
1261	C₂×D₅₃	—	2	1	no	—
1262	C₂×D₅₃	—	2	8	no	—
1263	C₂×D₅₃	—	2	8	no	—
1264	C₂×D₅₃	—	2	8	no	—
1265	C₂×D₅₃	—	2	2	no	—
1266	C₂×D₅₃	—	2	4	no	—
1267	C₂×D₅₃	—	2	2	no	—
1268	C₂×D₅₃	—	2	4	no	—
1269	C₂×D₅₃	—	2	4	no	—
1270	C₂×D₅₃	—	2	2	no	—
1271	C₂×D₅₃	—	4	4	no	—
1272	C₂×D₅₃	—	4	4	no	—
1273	C₂×D₅₃	—	4	4	no	—
1274	C₂×D₅₃	—	4	8	no	—
1275	C₂×D₅₃	—	4	4	no	—
1276	C₂×D₅₃	—	4	8	no	—
1277	C₂×D₅₃	—	4	16	no	—
1278	C₂×D₅₃	—	8	8	no	—
1279	C₂×D₅₃	—	8	4	no	—
1280	C₂×D₅₃	C₂²×#41	1	2	yes	—
1281	C₂×D₅₃	C₂²×#41	1	2	yes	—
1282	C₂×D₅₃	C₂²×#41	1	2	yes	—
1283	C₂×D₅₃	C₂²×#41	1	2	yes	—
1284	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1285	C₂×D₅₃	#585	1	2	yes	—
1286	C₄×C₅₃	—	2	4	no	—
1287	C₄×C₅₃	—	2	2	no	—
1288	C₄×C₅₃	—	2	4	no	—
1289	C₄×C₅₃	—	2	1	no	—
1290	C₄×C₅₃	—	2	1	no	—
1291	C₄×C₅₃	—	2	2	no	—
1292	C₄×C₅₃	—	2	1	no	—
1293	C₄×C₅₃	—	2	2	no	—
1294	C₄×C₅₃	—	2	4	no	—
1295	C₄×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1296	Dic₅₃	—	2	4	no	—
1297	Dic₅₃	—	2	2	no	—
1298	Dic₅₃	—	2	4	no	—
1299	Dic₅₃	—	2	1	no	—
1300	Dic₅₃	—	2	1	no	—
1301	Dic₅₃	—	2	2	no	—
1302	Dic₅₃	—	2	1	no	—
1303	Dic₅₃	—	2	2	no	—
1304	Dic₅₃	—	2	4	no	—
1305	Dic₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1306	#3505	—	53	2	no	—
1307	#3505	—	53	4	no	—
1308	#3505	—	53	2	no	—
1309	#3505	—	53	4	no	—
1310	#3505	—	53	2	no	—
1311	#3505	—	53	2	no	—
1312	#3505	—	53	2	no	—
1313	#3505	—	53	2	no	—
1314	#3505	—	53	2	no	—
1315	#3505	—	53	2	no	—
1316	#3505	—	53	2	no	—
1317	#3505	—	53	1	no	—
1318	#3505	—	53	1	no	—
1319	#3505	—	53	2	no	—
1320	#3505	—	53	1	no	—
1321	#3505	D₅₃	1	1	yes	characteristic, direct product factor
1322	C₂×#553	—	53	2	no	—
1323	C₂×#553	—	53	4	no	—
1324	C₂×#552	—	53	2	no	—
1325	C₂×#551	—	53	4	no	—
1326	C₂×#548	—	53	2	no	—
1327	C₂×#546	—	53	2	no	—
1328	C₂×#539	—	53	2	no	—
1329	C₂×#538	—	53	2	no	—
1330	C₂×#534	—	53	2	no	—
1331	C₂×#529	—	53	2	no	—
1332	C₂×#525	—	53	2	no	—
1333	C₂²×C₂²⋊Q₈	—	53	1	no	—
1334	C₂²×#121	—	53	1	no	—
1335	C₂×#518	—	53	2	no	—
1336	C₂²×C₄×D₄	—	53	1	no	—
1337	C₂×C₅₃	—	2	2	no	—
1338	C₂×C₅₃	—	2	2	no	—
1339	C₂×C₅₃	—	2	2	no	—
1340	C₂×C₅₃	—	4	2	no	—
1341	C₂×C₅₃	—	4	4	no	—
1342	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1343	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1344	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1345	D₅₃	—	2	2	no	—
1346	D₅₃	—	2	2	no	—
1347	D₅₃	—	2	2	no	—
1348	D₅₃	—	4	2	no	—
1349	D₅₃	—	4	4	no	—
1350	D₅₃	#3505	1	4	yes	direct product factor
1351	C₂²×#41	—	53	2	no	—
1352	C₂³×Q₈	—	53	1	no	—
1353	C₂³×D₄	—	53	1	no	—
1354	C₂³×D₄	—	53	2	no	—
1355	C₂³×D₄	—	53	1	no	—
1356	C₂⁴×C₄	—	53	1	no	—
1357	C₂⁴×C₄	—	53	1	no	—
1358	#553	—	53	4	no	—
1359	#553	—	53	4	no	—
1360	#553	—	53	4	no	—
1361	#553	—	53	2	no	—
1362	#553	—	53	4	no	—
1363	#553	—	53	4	no	—
1364	#553	—	53	4	no	—
1365	#553	—	53	4	no	—
1366	#553	—	53	4	no	—
1367	#553	—	53	4	no	—
1368	#553	—	53	4	no	—
1369	#553	—	53	2	no	—
1370	#553	—	53	4	no	—
1371	#553	—	53	2	no	—
1372	#553	—	53	4	no	—
1373	#553	—	53	2	no	—
1374	#553	—	53	4	no	—
1375	#553	—	53	4	no	—
1376	#553	—	53	4	no	—
1377	#553	—	53	4	no	—
1378	#553	—	53	2	no	—
1379	#553	—	53	4	no	—
1380	#553	—	53	2	no	—
1381	#553	—	53	4	no	—
1382	#553	—	53	2	no	—
1383	#553	—	53	4	no	—
1384	#553	C₂×D₅₃	1	2	yes	complemented
1385	#553	C₂×D₅₃	1	4	yes	complemented
1386	#552	—	53	4	no	—
1387	#552	—	53	4	no	—
1388	#552	—	53	2	no	—
1389	#552	—	53	4	no	—
1390	#552	—	53	2	no	—
1391	#552	—	53	2	no	—
1392	#552	—	53	2	no	—
1393	#552	—	53	2	no	—
1394	#552	—	53	4	no	—
1395	#552	—	53	2	no	—
1396	#552	—	53	2	no	—
1397	#552	C₂×D₅₃	1	2	yes	complemented
1398	#551	—	53	4	no	—
1399	#551	—	53	4	no	—
1400	#551	—	53	4	no	—
1401	#551	—	53	4	no	—
1402	#551	—	53	4	no	—
1403	#551	—	53	4	no	—
1404	#551	—	53	4	no	—
1405	#551	—	53	4	no	—
1406	#551	—	53	4	no	—
1407	#551	—	53	4	no	—
1408	#551	—	53	4	no	—
1409	#551	—	53	4	no	—
1410	#551	—	53	4	no	—
1411	#551	—	53	4	no	—
1412	#551	—	53	4	no	—
1413	#551	C₂×D₅₃	1	4	yes	complemented
1414	#548	—	53	2	no	—
1415	#548	—	53	2	no	—
1416	#548	—	53	4	no	—
1417	#548	—	53	2	no	—
1418	#548	—	53	2	no	—
1419	#548	—	53	4	no	—
1420	#548	—	53	4	no	—
1421	#548	—	53	2	no	—
1422	#548	—	53	2	no	—
1423	#548	—	53	4	no	—
1424	#548	—	53	2	no	—
1425	#548	C₂×D₅₃	1	2	yes	complemented
1426	#546	—	53	2	no	—
1427	#546	—	53	2	no	—
1428	#546	—	53	2	no	—
1429	#546	—	53	4	no	—
1430	#546	—	53	2	no	—
1431	#546	—	53	2	no	—
1432	#546	—	53	4	no	—
1433	#546	—	53	4	no	—
1434	#546	—	53	2	no	—
1435	#546	—	53	2	no	—
1436	#546	—	53	4	no	—
1437	#546	C₂×D₅₃	1	2	yes	complemented
1438	#539	—	53	4	no	—
1439	#539	—	53	4	no	—
1440	#539	—	53	4	no	—
1441	#539	—	53	4	no	—
1442	#539	—	53	4	no	—
1443	#539	—	53	2	no	—
1444	#539	—	53	2	no	—
1445	#539	—	53	4	no	—
1446	#539	—	53	2	no	—
1447	#539	C₂×D₅₃	1	2	yes	complemented
1448	#538	—	53	4	no	—
1449	#538	—	53	4	no	—
1450	#538	—	53	4	no	—
1451	#538	—	53	2	no	—
1452	#538	—	53	2	no	—
1453	#538	—	53	4	no	—
1454	#538	—	53	4	no	—
1455	#538	—	53	4	no	—
1456	#538	—	53	2	no	—
1457	#538	C₂×D₅₃	1	2	yes	complemented
1458	#534	—	53	2	no	—
1459	#534	—	53	2	no	—
1460	#534	—	53	4	no	—
1461	#534	—	53	4	no	—
1462	#534	—	53	4	no	—
1463	#534	—	53	4	no	—
1464	#534	—	53	4	no	—
1465	#534	—	53	4	no	—
1466	#534	—	53	2	no	—
1467	#534	C₂×D₅₃	1	2	yes	complemented
1468	#529	—	53	4	no	—
1469	#529	—	53	2	no	—
1470	#529	—	53	2	no	—
1471	#529	—	53	4	no	—
1472	#529	—	53	2	no	—
1473	#529	—	53	2	no	—
1474	#529	—	53	2	no	—
1475	#529	—	53	4	no	—
1476	#529	—	53	2	no	—
1477	#529	—	53	4	no	—
1478	#529	—	53	2	no	—
1479	#529	C₂×D₅₃	1	2	yes	complemented
1480	C₂×#126	—	53	4	no	—
1481	C₂×#126	—	53	4	no	—
1482	C₂×#126	—	53	4	no	—
1483	C₂×#125	—	53	2	no	—
1484	C₂×#125	—	53	4	no	—
1485	C₂×#124	—	53	2	no	—
1486	C₂×#124	—	53	4	no	—
1487	#525	—	53	2	no	—
1488	#525	—	53	2	no	—
1489	#525	—	53	4	no	—
1490	#525	—	53	2	no	—
1491	#525	—	53	2	no	—
1492	#525	—	53	2	no	—
1493	#525	—	53	2	no	—
1494	#525	—	53	4	no	—
1495	#525	—	53	4	no	—
1496	#525	—	53	4	no	—
1497	#525	—	53	2	no	—
1498	#525	C₂×D₅₃	1	2	yes	complemented
1499	C₂×#123	—	53	4	no	—
1500	C₂×#123	—	53	4	no	—
1501	C₂×#123	—	53	4	no	—
1502	C₂×#123	—	53	4	no	—
1503	C₂×#123	—	53	4	no	—
1504	C₂×C₂²⋊Q₈	—	53	1	no	—
1505	C₂×C₂²⋊Q₈	—	53	1	no	—
1506	C₂×C₂²⋊Q₈	—	53	2	no	—
1507	C₂×C₂²⋊Q₈	—	53	2	no	—
1508	C₂×C₂²⋊Q₈	—	53	2	no	—
1509	C₂×C₂²⋊Q₈	—	53	2	no	—
1510	C₂×C₂²⋊Q₈	—	53	2	no	—
1511	C₂×C₂²⋊Q₈	—	53	2	no	—
1512	C₂×C₂²⋊Q₈	—	53	2	no	—
1513	C₂×C₂²⋊Q₈	—	53	2	no	—
1514	C₂×C₂²⋊Q₈	—	53	2	no	—
1515	C₂×C₂²⋊Q₈	—	53	4	no	—
1516	C₂×C₂²⋊Q₈	—	53	2	no	—
1517	C₂×C₂²⋊Q₈	—	53	1	no	—
1518	C₂×C₂²⋊Q₈	—	53	2	no	—
1519	C₂×C₂²⋊Q₈	C₂×D₅₃	1	1	yes	characteristic, complemented
1520	C₂×#121	—	53	2	no	—
1521	C₂×#121	—	53	1	no	—
1522	C₂×#121	—	53	1	no	—
1523	C₂×#121	—	53	2	no	—
1524	C₂×#121	—	53	2	no	—
1525	C₂×#121	—	53	2	no	—
1526	C₂×#121	—	53	2	no	—
1527	C₂×#121	—	53	2	no	—
1528	C₂×#121	—	53	2	no	—
1529	C₂×#121	—	53	2	no	—
1530	C₂×#121	—	53	2	no	—
1531	C₂×#121	—	53	2	no	—
1532	C₂×#121	—	53	4	no	—
1533	C₂×#121	—	53	4	no	—
1534	C₂×#121	—	53	4	no	—
1535	C₂×#121	—	53	1	no	—
1536	C₂×#121	—	53	2	no	—
1537	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1538	C₂×#120	—	53	4	no	—
1539	C₂×#120	—	53	4	no	—
1540	#518	—	53	2	no	—
1541	#518	—	53	4	no	—
1542	#518	—	53	4	no	—
1543	#518	—	53	4	no	—
1544	#518	—	53	4	no	—
1545	#518	—	53	4	no	—
1546	#518	—	53	2	no	—
1547	#518	—	53	2	no	—
1548	#518	—	53	4	no	—
1549	#518	C₂×D₅₃	1	2	yes	complemented
1550	C₂×C₄×Q₈	—	53	2	no	—
1551	C₂×C₄×D₄	—	53	1	no	—
1552	C₂×C₄×D₄	—	53	1	no	—
1553	C₂×C₄×D₄	—	53	1	no	—
1554	C₂×C₄×D₄	—	53	2	no	—
1555	C₂×C₄×D₄	—	53	2	no	—
1556	C₂×C₄×D₄	—	53	2	no	—
1557	C₂×C₄×D₄	—	53	2	no	—
1558	C₂×C₄×D₄	—	53	2	no	—
1559	C₂×C₄×D₄	—	53	2	no	—
1560	C₂×C₄×D₄	—	53	2	no	—
1561	C₂×C₄×D₄	—	53	2	no	—
1562	C₂×C₄×D₄	—	53	4	no	—
1563	C₂×C₄×D₄	—	53	4	no	—
1564	C₂×C₄×D₄	—	53	4	no	—
1565	C₂×C₄×D₄	—	53	4	no	—
1566	C₂×C₄×D₄	—	53	4	no	—
1567	C₂×C₄×D₄	—	53	2	no	—
1568	C₂×C₄×D₄	—	53	1	no	—
1569	C₂×C₄×D₄	—	53	1	no	—
1570	C₂×C₄×D₄	—	53	1	no	—
1571	C₂×C₄×D₄	—	53	1	no	—
1572	C₂×C₄×D₄	C₂×D₅₃	1	1	yes	characteristic, complemented
1573	C₂×#117	—	53	4	no	—
1574	C₂×#117	—	53	2	no	—
1575	C₂×#117	—	53	4	no	—
1576	C₂²×C₄⋊C₄	—	53	1	no	—
1577	C₂²×C₄⋊C₄	—	53	1	no	—
1578	C₂²×C₄⋊C₄	—	53	1	no	—
1579	C₂²×C₄⋊C₄	—	53	2	no	—
1580	C₂²×C₂²⋊C₄	—	53	1	no	—
1581	C₂²×C₂²⋊C₄	—	53	2	no	—
1582	C₂²×C₂²⋊C₄	—	53	1	no	—
1583	C₂²×C₂²⋊C₄	—	53	4	no	—
1584	C₂²×C₂²⋊C₄	—	53	2	no	—
1585	C₂²×C₄²	—	53	1	no	—
1586	C₅₃	C₂×#3505	1	1	yes	characteristic, complemented, Sylow
1587	C₂⁵	—	53	1	no	—
1588	C₂⁵	—	53	2	no	—
1589	C₂⁵	—	53	1	no	—
1590	C₂×#41	—	53	2	no	—
1591	C₂×#41	—	53	4	no	—
1592	C₂×#41	—	53	2	no	—
1593	C₂×#41	—	53	4	no	—
1594	C₂×#41	—	53	2	no	—
1595	C₂×#41	—	212	8	no	—
1596	C₂×#41	C₂²×D₅₃	1	2	yes	complemented
1597	C₂²×Q₈	—	53	2	no	—
1598	C₂²×Q₈	—	53	2	no	—
1599	C₂²×Q₈	—	53	2	no	—
1600	C₂²×Q₈	—	53	2	no	—
1601	C₂²×Q₈	—	53	2	no	—
1602	C₂²×Q₈	—	53	1	no	—
1603	C₂²×Q₈	—	212	4	no	—
1604	C₂²×Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1605	C₂²×D₄	—	53	1	no	—
1606	C₂²×D₄	—	53	1	no	—
1607	C₂²×D₄	—	53	2	no	—
1608	C₂²×D₄	—	53	2	no	—
1609	C₂²×D₄	—	53	2	no	—
1610	C₂²×D₄	—	53	2	no	—
1611	C₂²×D₄	—	53	4	no	—
1612	C₂²×D₄	—	53	2	no	—
1613	C₂²×D₄	—	53	4	no	—
1614	C₂²×D₄	—	53	2	no	—
1615	C₂²×D₄	—	53	2	no	—
1616	C₂²×D₄	—	53	2	no	—
1617	C₂²×D₄	—	53	4	no	—
1618	C₂²×D₄	—	53	4	no	—
1619	C₂²×D₄	—	53	4	no	—
1620	C₂²×D₄	—	53	4	no	—
1621	C₂²×D₄	—	53	2	no	—
1622	C₂²×D₄	—	53	2	no	—
1623	C₂²×D₄	—	53	2	no	—
1624	C₂²×D₄	—	53	1	no	—
1625	C₂²×D₄	—	53	2	no	—
1626	C₂²×D₄	—	53	1	no	—
1627	C₂²×D₄	—	106	16	no	—
1628	C₂²×D₄	—	106	8	no	—
1629	C₂²×D₄	—	212	4	no	—
1630	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1631	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1632	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1633	C₂³×C₄	—	53	1	no	—
1634	C₂³×C₄	—	53	1	no	—
1635	C₂³×C₄	—	53	2	no	—
1636	C₂³×C₄	—	53	1	no	—
1637	C₂³×C₄	—	53	1	no	—
1638	C₂³×C₄	—	53	1	no	—
1639	C₂³×C₄	—	53	2	no	—
1640	C₂³×C₄	—	53	1	no	—
1641	C₂³×C₄	—	53	1	no	—
1642	C₂³×C₄	—	53	1	no	—
1643	C₂³×C₄	—	53	2	no	—
1644	C₂³×C₄	—	53	1	no	—
1645	C₂³×C₄	—	53	2	no	—
1646	C₂³×C₄	—	53	1	no	—
1647	C₂³×C₄	—	53	4	no	—
1648	C₂³×C₄	—	53	4	no	—
1649	C₂³×C₄	—	53	1	no	—
1650	C₂³×C₄	—	53	2	no	—
1651	C₂³×C₄	—	53	1	no	—
1652	C₂³×C₄	—	53	1	no	—
1653	C₂³×C₄	—	53	1	no	—
1654	C₂³×C₄	—	53	1	no	—
1655	C₂³×C₄	—	53	1	no	—
1656	C₂³×C₄	—	53	1	no	—
1657	C₂³×C₄	—	53	1	no	—
1658	C₂³×C₄	—	53	2	no	—
1659	C₂³×C₄	—	53	1	no	—
1660	C₂³×C₄	—	53	2	no	—
1661	C₂³×C₄	—	212	4	no	—
1662	C₂³×C₄	—	212	4	no	—
1663	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1664	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
1665	#126	—	53	4	no	—
1666	#126	—	53	4	no	—
1667	#126	—	53	4	no	—
1668	#126	—	53	4	no	—
1669	#126	—	53	4	no	—
1670	#126	—	53	4	no	—
1671	#126	—	53	4	no	—
1672	#126	—	53	4	no	—
1673	#126	—	53	4	no	—
1674	#126	—	53	4	no	—
1675	#126	—	53	4	no	—
1676	#126	—	53	4	no	—
1677	#126	—	53	4	no	—
1678	#126	—	53	4	no	—
1679	#126	—	53	4	no	—
1680	#126	—	53	4	no	—
1681	#126	—	53	4	no	—
1682	#126	—	53	4	no	—
1683	#126	—	53	4	no	—
1684	#126	—	53	4	no	—
1685	#126	—	53	4	no	—
1686	#126	C₂²×D₅₃	1	4	yes	complemented
1687	#126	C₂²×D₅₃	1	4	yes	complemented
1688	#126	C₂²×D₅₃	1	4	yes	complemented
1689	#125	—	53	4	no	—
1690	#125	—	53	4	no	—
1691	#125	—	53	2	no	—
1692	#125	—	53	2	no	—
1693	#125	—	53	4	no	—
1694	#125	—	53	4	no	—
1695	#125	—	53	4	no	—
1696	#125	—	53	4	no	—
1697	#125	—	53	4	no	—
1698	#125	—	53	4	no	—
1699	#125	—	53	2	no	—
1700	#125	—	53	4	no	—
1701	#125	C₂²×D₅₃	1	2	yes	complemented
1702	#125	C₂²×D₅₃	1	4	yes	complemented
1703	#124	—	53	2	no	—
1704	#124	—	53	4	no	—
1705	#124	—	53	2	no	—
1706	#124	—	53	4	no	—
1707	#124	—	53	4	no	—
1708	#124	—	53	4	no	—
1709	#124	—	53	4	no	—
1710	#124	—	53	4	no	—
1711	#124	—	53	4	no	—
1712	#124	—	53	4	no	—
1713	#124	—	53	2	no	—
1714	#124	—	53	4	no	—
1715	#124	C₂²×D₅₃	1	2	yes	complemented
1716	#124	C₂²×D₅₃	1	4	yes	complemented
1717	#123	—	53	4	no	—
1718	#123	—	53	4	no	—
1719	#123	—	53	4	no	—
1720	#123	—	53	4	no	—
1721	#123	—	53	4	no	—
1722	#123	—	53	4	no	—
1723	#123	—	53	4	no	—
1724	#123	—	53	4	no	—
1725	#123	—	53	4	no	—
1726	#123	—	53	4	no	—
1727	#123	—	53	4	no	—
1728	#123	—	53	4	no	—
1729	#123	—	53	4	no	—
1730	#123	—	53	4	no	—
1731	#123	—	53	4	no	—
1732	#123	—	53	4	no	—
1733	#123	—	53	4	no	—
1734	#123	—	53	4	no	—
1735	#123	—	53	4	no	—
1736	#123	—	53	4	no	—
1737	#123	—	53	4	no	—
1738	#123	—	53	4	no	—
1739	#123	—	53	4	no	—
1740	#123	—	53	4	no	—
1741	#123	—	53	4	no	—
1742	#123	—	53	4	no	—
1743	#123	—	53	4	no	—
1744	#123	—	53	4	no	—
1745	#123	—	53	4	no	—
1746	#123	—	53	4	no	—
1747	#123	—	53	4	no	—
1748	#123	—	53	4	no	—
1749	#123	—	53	4	no	—
1750	#123	—	53	4	no	—
1751	#123	—	53	4	no	—
1752	#123	C₂²×D₅₃	1	4	yes	—
1753	#123	C₂²×D₅₃	1	4	yes	complemented
1754	#123	C₂²×D₅₃	1	4	yes	complemented
1755	#123	C₂²×D₅₃	1	4	yes	complemented
1756	#123	C₂²×D₅₃	1	4	yes	complemented
1757	C₂²⋊Q₈	—	53	2	no	—
1758	C₂²⋊Q₈	—	53	2	no	—
1759	C₂²⋊Q₈	—	53	2	no	—
1760	C₂²⋊Q₈	—	53	2	no	—
1761	C₂²⋊Q₈	—	53	2	no	—
1762	C₂²⋊Q₈	—	53	4	no	—
1763	C₂²⋊Q₈	—	53	2	no	—
1764	C₂²⋊Q₈	—	53	2	no	—
1765	C₂²⋊Q₈	—	53	2	no	—
1766	C₂²⋊Q₈	—	53	2	no	—
1767	C₂²⋊Q₈	—	53	2	no	—
1768	C₂²⋊Q₈	—	53	4	no	—
1769	C₂²⋊Q₈	—	53	4	no	—
1770	C₂²⋊Q₈	—	53	2	no	—
1771	C₂²⋊Q₈	—	53	4	no	—
1772	C₂²⋊Q₈	—	53	2	no	—
1773	C₂²⋊Q₈	—	53	4	no	—
1774	C₂²⋊Q₈	—	53	2	no	—
1775	C₂²⋊Q₈	—	53	4	no	—
1776	C₂²⋊Q₈	—	53	2	no	—
1777	C₂²⋊Q₈	—	53	4	no	—
1778	C₂²⋊Q₈	—	53	2	no	—
1779	C₂²⋊Q₈	—	53	4	no	—
1780	C₂²⋊Q₈	—	53	4	no	—
1781	C₂²⋊Q₈	—	53	4	no	—
1782	C₂²⋊Q₈	—	53	4	no	—
1783	C₂²⋊Q₈	—	53	4	no	—
1784	C₂²⋊Q₈	—	53	4	no	—
1785	C₂²⋊Q₈	—	53	4	no	—
1786	C₂²⋊Q₈	—	53	4	no	—
1787	C₂²⋊Q₈	—	53	4	no	—
1788	C₂²⋊Q₈	—	53	4	no	—
1789	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1790	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1791	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1792	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1793	C₂²⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1794	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1795	#121	—	53	2	no	—
1796	#121	—	53	4	no	—
1797	#121	—	53	2	no	—
1798	#121	—	53	4	no	—
1799	#121	—	53	2	no	—
1800	#121	—	53	4	no	—
1801	#121	—	53	2	no	—
1802	#121	—	53	4	no	—
1803	#121	—	53	2	no	—
1804	#121	—	53	4	no	—
1805	#121	—	53	4	no	—
1806	#121	—	53	4	no	—
1807	#121	—	53	4	no	—
1808	#121	—	53	4	no	—
1809	#121	—	53	4	no	—
1810	#121	—	53	4	no	—
1811	#121	—	53	4	no	—
1812	#121	—	53	4	no	—
1813	#121	—	53	4	no	—
1814	#121	—	53	2	no	—
1815	#121	—	53	2	no	—
1816	#121	—	53	2	no	—
1817	#121	—	53	2	no	—
1818	#121	—	53	2	no	—
1819	#121	—	53	4	no	—
1820	#121	—	53	4	no	—
1821	#121	—	53	4	no	—
1822	#121	—	53	2	no	—
1823	#121	—	53	2	no	—
1824	#121	—	53	2	no	—
1825	#121	—	53	2	no	—
1826	#121	—	53	2	no	—
1827	#121	—	53	4	no	—
1828	#121	—	53	4	no	—
1829	#121	—	53	4	no	—
1830	#121	—	53	4	no	—
1831	#121	—	53	4	no	—
1832	#121	—	53	4	no	—
1833	#121	—	53	4	no	—
1834	#121	—	53	4	no	—
1835	#121	—	53	4	no	—
1836	#121	—	53	4	no	—
1837	#121	—	53	4	no	—
1838	#121	—	53	4	no	—
1839	#121	—	53	4	no	—
1840	#121	—	53	4	no	—
1841	#121	C₂²×D₅₃	1	2	yes	—
1842	#121	C₂²×D₅₃	1	2	yes	—
1843	#121	C₂²×D₅₃	1	2	yes	complemented
1844	#121	C₂²×D₅₃	1	2	yes	complemented
1845	#121	C₂²×D₅₃	1	2	yes	complemented
1846	#121	C₂²×D₅₃	1	4	yes	complemented
1847	#121	C₂²×D₅₃	1	4	yes	complemented
1848	#121	C₂²×D₅₃	1	4	yes	complemented
1849	#120	—	53	4	no	—
1850	#120	—	53	4	no	—
1851	#120	—	53	4	no	—
1852	#120	—	53	4	no	—
1853	#120	—	53	4	no	—
1854	#120	—	53	4	no	—
1855	#120	—	53	4	no	—
1856	#120	—	53	4	no	—
1857	#120	—	53	4	no	—
1858	#120	—	53	4	no	—
1859	#120	—	53	4	no	—
1860	#120	—	53	4	no	—
1861	#120	—	53	4	no	—
1862	#120	—	53	4	no	—
1863	#120	C₂²×D₅₃	1	4	yes	—
1864	#120	C₂²×D₅₃	1	4	yes	complemented
1865	C₄×Q₈	—	53	2	no	—
1866	C₄×Q₈	—	53	4	no	—
1867	C₄×Q₈	—	53	2	no	—
1868	C₄×Q₈	—	53	4	no	—
1869	C₄×Q₈	—	53	2	no	—
1870	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
1871	C₄×D₄	—	53	2	no	—
1872	C₄×D₄	—	53	2	no	—
1873	C₄×D₄	—	53	2	no	—
1874	C₄×D₄	—	53	2	no	—
1875	C₄×D₄	—	53	4	no	—
1876	C₄×D₄	—	53	4	no	—
1877	C₄×D₄	—	53	4	no	—
1878	C₄×D₄	—	53	4	no	—
1879	C₄×D₄	—	53	4	no	—
1880	C₄×D₄	—	53	2	no	—
1881	C₄×D₄	—	53	2	no	—
1882	C₄×D₄	—	53	2	no	—
1883	C₄×D₄	—	53	2	no	—
1884	C₄×D₄	—	53	2	no	—
1885	C₄×D₄	—	53	2	no	—
1886	C₄×D₄	—	53	2	no	—
1887	C₄×D₄	—	53	2	no	—
1888	C₄×D₄	—	53	2	no	—
1889	C₄×D₄	—	53	4	no	—
1890	C₄×D₄	—	53	4	no	—
1891	C₄×D₄	—	53	4	no	—
1892	C₄×D₄	—	53	4	no	—
1893	C₄×D₄	—	53	4	no	—
1894	C₄×D₄	—	53	4	no	—
1895	C₄×D₄	—	53	4	no	—
1896	C₄×D₄	—	53	4	no	—
1897	C₄×D₄	—	53	4	no	—
1898	C₄×D₄	—	53	4	no	—
1899	C₄×D₄	—	53	4	no	—
1900	C₄×D₄	—	53	2	no	—
1901	C₄×D₄	—	53	2	no	—
1902	C₄×D₄	—	53	2	no	—
1903	C₄×D₄	—	53	2	no	—
1904	C₄×D₄	—	53	4	no	—
1905	C₄×D₄	—	53	4	no	—
1906	C₄×D₄	—	53	4	no	—
1907	C₄×D₄	—	53	4	no	—
1908	C₄×D₄	—	53	4	no	—
1909	C₄×D₄	—	53	2	no	—
1910	C₄×D₄	—	53	2	no	—
1911	C₄×D₄	—	53	2	no	—
1912	C₄×D₄	—	53	2	no	—
1913	C₄×D₄	—	53	2	no	—
1914	C₄×D₄	—	53	2	no	—
1915	C₄×D₄	—	53	2	no	—
1916	C₄×D₄	—	53	2	no	—
1917	C₄×D₄	—	53	2	no	—
1918	C₄×D₄	—	53	4	no	—
1919	C₄×D₄	—	53	4	no	—
1920	C₄×D₄	—	53	4	no	—
1921	C₄×D₄	—	53	4	no	—
1922	C₄×D₄	—	53	4	no	—
1923	C₄×D₄	—	53	4	no	—
1924	C₄×D₄	—	53	4	no	—
1925	C₄×D₄	—	53	4	no	—
1926	C₄×D₄	—	53	4	no	—
1927	C₄×D₄	—	53	4	no	—
1928	C₄×D₄	—	53	4	no	—
1929	C₄×D₄	—	53	2	no	—
1930	C₄×D₄	—	53	2	no	—
1931	C₄×D₄	—	53	2	no	—
1932	C₄×D₄	—	53	2	no	—
1933	C₄×D₄	—	53	4	no	—
1934	C₄×D₄	—	53	4	no	—
1935	C₄×D₄	—	53	4	no	—
1936	C₄×D₄	—	53	4	no	—
1937	C₄×D₄	—	53	4	no	—
1938	C₄×D₄	—	53	2	no	—
1939	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1940	C₄×D₄	C₂²×D₅₃	1	2	yes	—
1941	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1942	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1943	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1944	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1945	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1946	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1947	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
1948	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
1949	#117	—	53	4	no	—
1950	#117	—	53	2	no	—
1951	#117	—	53	4	no	—
1952	#117	—	53	4	no	—
1953	#117	—	53	4	no	—
1954	#117	—	53	2	no	—
1955	#117	—	53	2	no	—
1956	#117	—	53	4	no	—
1957	#117	—	53	4	no	—
1958	#117	—	53	4	no	—
1959	#117	—	53	4	no	—
1960	#117	—	53	4	no	—
1961	#117	—	53	4	no	—
1962	#117	—	53	4	no	—
1963	#117	—	53	4	no	—
1964	#117	—	53	4	no	—
1965	#117	—	53	4	no	—
1966	#117	—	53	4	no	—
1967	#117	—	53	4	no	—
1968	#117	C₂²×D₅₃	1	4	yes	complemented
1969	#117	C₂²×D₅₃	1	2	yes	complemented
1970	#117	C₂²×D₅₃	1	4	yes	complemented
1971	C₂×C₄⋊C₄	—	53	1	no	—
1972	C₂×C₄⋊C₄	—	53	1	no	—
1973	C₂×C₄⋊C₄	—	53	1	no	—
1974	C₂×C₄⋊C₄	—	53	2	no	—
1975	C₂×C₄⋊C₄	—	53	1	no	—
1976	C₂×C₄⋊C₄	—	53	2	no	—
1977	C₂×C₄⋊C₄	—	53	2	no	—
1978	C₂×C₄⋊C₄	—	53	2	no	—
1979	C₂×C₄⋊C₄	—	53	1	no	—
1980	C₂×C₄⋊C₄	—	53	2	no	—
1981	C₂×C₄⋊C₄	—	53	2	no	—
1982	C₂×C₄⋊C₄	—	53	4	no	—
1983	C₂×C₄⋊C₄	—	53	2	no	—
1984	C₂×C₄⋊C₄	—	53	2	no	—
1985	C₂×C₄⋊C₄	—	53	2	no	—
1986	C₂×C₄⋊C₄	—	53	2	no	—
1987	C₂×C₄⋊C₄	—	53	2	no	—
1988	C₂×C₄⋊C₄	—	53	2	no	—
1989	C₂×C₄⋊C₄	—	53	2	no	—
1990	C₂×C₄⋊C₄	—	53	2	no	—
1991	C₂×C₄⋊C₄	—	53	4	no	—
1992	C₂×C₄⋊C₄	—	53	2	no	—
1993	C₂×C₄⋊C₄	—	53	2	no	—
1994	C₂×C₄⋊C₄	—	53	2	no	—
1995	C₂×C₄⋊C₄	—	53	4	no	—
1996	C₂×C₄⋊C₄	—	53	4	no	—
1997	C₂×C₄⋊C₄	—	53	4	no	—
1998	C₂×C₄⋊C₄	—	53	4	no	—
1999	C₂×C₄⋊C₄	—	53	4	no	—
2000	C₂×C₄⋊C₄	—	53	4	no	—
2001	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2002	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2003	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2004	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2005	C₂×C₂²⋊C₄	—	53	1	no	—
2006	C₂×C₂²⋊C₄	—	53	1	no	—
2007	C₂×C₂²⋊C₄	—	53	2	no	—
2008	C₂×C₂²⋊C₄	—	53	4	no	—
2009	C₂×C₂²⋊C₄	—	53	2	no	—
2010	C₂×C₂²⋊C₄	—	53	1	no	—
2011	C₂×C₂²⋊C₄	—	53	1	no	—
2012	C₂×C₂²⋊C₄	—	53	1	no	—
2013	C₂×C₂²⋊C₄	—	53	1	no	—
2014	C₂×C₂²⋊C₄	—	53	2	no	—
2015	C₂×C₂²⋊C₄	—	53	2	no	—
2016	C₂×C₂²⋊C₄	—	53	4	no	—
2017	C₂×C₂²⋊C₄	—	53	4	no	—
2018	C₂×C₂²⋊C₄	—	53	2	no	—
2019	C₂×C₂²⋊C₄	—	53	2	no	—
2020	C₂×C₂²⋊C₄	—	53	2	no	—
2021	C₂×C₂²⋊C₄	—	53	4	no	—
2022	C₂×C₂²⋊C₄	—	53	4	no	—
2023	C₂×C₂²⋊C₄	—	53	2	no	—
2024	C₂×C₂²⋊C₄	—	53	2	no	—
2025	C₂×C₂²⋊C₄	—	53	2	no	—
2026	C₂×C₂²⋊C₄	—	53	4	no	—
2027	C₂×C₂²⋊C₄	—	53	2	no	—
2028	C₂×C₂²⋊C₄	—	53	4	no	—
2029	C₂×C₂²⋊C₄	—	53	4	no	—
2030	C₂×C₂²⋊C₄	—	53	2	no	—
2031	C₂×C₂²⋊C₄	—	53	2	no	—
2032	C₂×C₂²⋊C₄	—	53	2	no	—
2033	C₂×C₂²⋊C₄	—	53	4	no	—
2034	C₂×C₂²⋊C₄	—	53	4	no	—
2035	C₂×C₂²⋊C₄	—	53	4	no	—
2036	C₂×C₂²⋊C₄	—	53	4	no	—
2037	C₂×C₂²⋊C₄	—	53	4	no	—
2038	C₂×C₂²⋊C₄	—	53	4	no	—
2039	C₂×C₂²⋊C₄	—	53	4	no	—
2040	C₂×C₂²⋊C₄	—	53	4	no	—
2041	C₂×C₂²⋊C₄	—	53	4	no	—
2042	C₂×C₂²⋊C₄	—	53	4	no	—
2043	C₂×C₂²⋊C₄	—	53	4	no	—
2044	C₂×C₂²⋊C₄	—	53	4	no	—
2045	C₂×C₂²⋊C₄	—	53	4	no	—
2046	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2047	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2048	C₂×C₂²⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2049	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	complemented
2050	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2051	C₂×C₄²	—	53	1	no	—
2052	C₂×C₄²	—	53	1	no	—
2053	C₂×C₄²	—	53	1	no	—
2054	C₂×C₄²	—	53	4	no	—
2055	C₂×C₄²	—	53	4	no	—
2056	C₂×C₄²	—	53	2	no	—
2057	C₂×C₄²	—	53	2	no	—
2058	C₂×C₄²	—	53	2	no	—
2059	C₂×C₄²	—	53	2	no	—
2060	C₂×C₄²	C₂²×D₅₃	1	1	yes	characteristic, complemented
2061	C₂⁴	—	53	1	no	—
2062	C₂⁴	—	53	1	no	—
2063	C₂⁴	—	53	1	no	—
2064	C₂⁴	—	53	8	no	—
2065	C₂⁴	—	53	1	no	—
2066	C₂⁴	—	53	1	no	—
2067	C₂⁴	—	53	1	no	—
2068	C₂⁴	—	53	2	no	—
2069	C₂⁴	—	53	4	no	—
2070	C₂⁴	—	53	4	no	—
2071	C₂⁴	—	53	2	no	—
2072	C₂⁴	—	53	2	no	—
2073	C₂⁴	—	53	1	no	—
2074	C₂⁴	—	106	8	no	—
2075	C₂⁴	—	106	4	no	—
2076	C₂⁴	—	212	4	no	—
2077	C₂⁴	—	212	4	no	—
2078	C₂⁴	—	212	2	no	—
2079	C₂⁴	—	212	2	no	—
2080	C₂⁴	—	212	2	no	—
2081	C₂⁴	—	212	2	no	—
2082	C₂⁴	C₂³×D₅₃	1	2	yes	—
2083	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2084	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2085	#41	—	4	4	no	—
2086	#41	—	212	4	no	—
2087	#41	—	212	8	no	—
2088	#41	—	212	4	no	—
2089	#41	—	212	8	no	—
2090	#41	—	212	4	no	—
2091	C₂×Q₈	—	4	2	no	—
2092	C₂×Q₈	—	53	4	no	—
2093	C₂×Q₈	—	53	2	no	—
2094	C₂×Q₈	—	53	2	no	—
2095	C₂×Q₈	—	53	4	no	—
2096	C₂×Q₈	—	106	8	no	—
2097	C₂×Q₈	—	212	2	no	—
2098	C₂×Q₈	—	212	4	no	—
2099	C₂×Q₈	—	212	4	no	—
2100	C₂×Q₈	—	212	4	no	—
2101	C₂×Q₈	—	212	4	no	—
2102	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2103	C₂×Q₈	C₂³×D₅₃	1	2	yes	—
2104	C₂×D₄	—	2	4	no	—
2105	C₂×D₄	—	2	8	no	—
2106	C₂×D₄	—	4	2	no	—
2107	C₂×D₄	—	53	2	no	—
2108	C₂×D₄	—	53	2	no	—
2109	C₂×D₄	—	53	4	no	—
2110	C₂×D₄	—	53	4	no	—
2111	C₂×D₄	—	53	2	no	—
2112	C₂×D₄	—	53	4	no	—
2113	C₂×D₄	—	53	2	no	—
2114	C₂×D₄	—	53	4	no	—
2115	C₂×D₄	—	53	4	no	—
2116	C₂×D₄	—	53	4	no	—
2117	C₂×D₄	—	53	4	no	—
2118	C₂×D₄	—	53	4	no	—
2119	C₂×D₄	—	53	4	no	—
2120	C₂×D₄	—	53	4	no	—
2121	C₂×D₄	—	53	2	no	—
2122	C₂×D₄	—	53	4	no	—
2123	C₂×D₄	—	53	2	no	—
2124	C₂×D₄	—	53	4	no	—
2125	C₂×D₄	—	53	2	no	—
2126	C₂×D₄	—	53	4	no	—
2127	C₂×D₄	—	53	4	no	—
2128	C₂×D₄	—	53	2	no	—
2129	C₂×D₄	—	106	8	no	—
2130	C₂×D₄	—	106	4	no	—
2131	C₂×D₄	—	106	8	no	—
2132	C₂×D₄	—	106	8	no	—
2133	C₂×D₄	—	106	16	no	—
2134	C₂×D₄	—	106	16	no	—
2135	C₂×D₄	—	106	8	no	—
2136	C₂×D₄	—	106	16	no	—
2137	C₂×D₄	—	106	16	no	—
2138	C₂×D₄	—	106	8	no	—
2139	C₂×D₄	—	106	8	no	—
2140	C₂×D₄	—	106	4	no	—
2141	C₂×D₄	—	106	8	no	—
2142	C₂×D₄	—	106	8	no	—
2143	C₂×D₄	—	106	4	no	—
2144	C₂×D₄	—	212	2	no	—
2145	C₂×D₄	—	212	4	no	—
2146	C₂×D₄	—	212	4	no	—
2147	C₂×D₄	—	212	8	no	—
2148	C₂×D₄	—	212	4	no	—
2149	C₂×D₄	—	212	8	no	—
2150	C₂×D₄	—	212	4	no	—
2151	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2152	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2153	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2154	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2155	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2156	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2157	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2158	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2159	C₂²×C₄	—	4	2	no	—
2160	C₂²×C₄	—	4	2	no	—
2161	C₂²×C₄	—	53	1	no	—
2162	C₂²×C₄	—	53	1	no	—
2163	C₂²×C₄	—	53	1	no	—
2164	C₂²×C₄	—	53	2	no	—
2165	C₂²×C₄	—	53	1	no	—
2166	C₂²×C₄	—	53	1	no	—
2167	C₂²×C₄	—	53	2	no	—
2168	C₂²×C₄	—	53	1	no	—
2169	C₂²×C₄	—	53	1	no	—
2170	C₂²×C₄	—	53	2	no	—
2171	C₂²×C₄	—	53	1	no	—
2172	C₂²×C₄	—	53	2	no	—
2173	C₂²×C₄	—	53	1	no	—
2174	C₂²×C₄	—	53	4	no	—
2175	C₂²×C₄	—	53	4	no	—
2176	C₂²×C₄	—	53	1	no	—
2177	C₂²×C₄	—	53	2	no	—
2178	C₂²×C₄	—	53	2	no	—
2179	C₂²×C₄	—	53	4	no	—
2180	C₂²×C₄	—	53	2	no	—
2181	C₂²×C₄	—	53	2	no	—
2182	C₂²×C₄	—	53	1	no	—
2183	C₂²×C₄	—	53	2	no	—
2184	C₂²×C₄	—	53	1	no	—
2185	C₂²×C₄	—	53	1	no	—
2186	C₂²×C₄	—	53	4	no	—
2187	C₂²×C₄	—	53	4	no	—
2188	C₂²×C₄	—	53	1	no	—
2189	C₂²×C₄	—	53	1	no	—
2190	C₂²×C₄	—	53	4	no	—
2191	C₂²×C₄	—	53	1	no	—
2192	C₂²×C₄	—	53	1	no	—
2193	C₂²×C₄	—	53	1	no	—
2194	C₂²×C₄	—	53	1	no	—
2195	C₂²×C₄	—	53	2	no	—
2196	C₂²×C₄	—	53	2	no	—
2197	C₂²×C₄	—	53	2	no	—
2198	C₂²×C₄	—	53	1	no	—
2199	C₂²×C₄	—	53	1	no	—
2200	C₂²×C₄	—	53	4	no	—
2201	C₂²×C₄	—	53	2	no	—
2202	C₂²×C₄	—	53	4	no	—
2203	C₂²×C₄	—	53	1	no	—
2204	C₂²×C₄	—	53	1	no	—
2205	C₂²×C₄	—	53	4	no	—
2206	C₂²×C₄	—	53	4	no	—
2207	C₂²×C₄	—	53	4	no	—
2208	C₂²×C₄	—	53	4	no	—
2209	C₂²×C₄	—	53	1	no	—
2210	C₂²×C₄	—	53	1	no	—
2211	C₂²×C₄	—	53	2	no	—
2212	C₂²×C₄	—	53	2	no	—
2213	C₂²×C₄	—	106	4	no	—
2214	C₂²×C₄	—	106	4	no	—
2215	C₂²×C₄	—	106	4	no	—
2216	C₂²×C₄	—	106	8	no	—
2217	C₂²×C₄	—	106	8	no	—
2218	C₂²×C₄	—	106	4	no	—
2219	C₂²×C₄	—	212	2	no	—
2220	C₂²×C₄	—	212	2	no	—
2221	C₂²×C₄	—	212	2	no	—
2222	C₂²×C₄	—	212	2	no	—
2223	C₂²×C₄	—	212	4	no	—
2224	C₂²×C₄	—	212	2	no	—
2225	C₂²×C₄	—	212	2	no	—
2226	C₂²×C₄	—	212	4	no	—
2227	C₂²×C₄	—	212	2	no	—
2228	C₂²×C₄	—	212	2	no	—
2229	C₂²×C₄	—	212	2	no	—
2230	C₂²×C₄	—	212	8	no	—
2231	C₂²×C₄	—	212	4	no	—
2232	C₂²×C₄	—	212	2	no	—
2233	C₂²×C₄	—	212	4	no	—
2234	C₂²×C₄	—	212	2	no	—
2235	C₂²×C₄	—	212	2	no	—
2236	C₂²×C₄	—	212	2	no	—
2237	C₂²×C₄	—	212	4	no	—
2238	C₂²×C₄	—	212	8	no	—
2239	C₂²×C₄	—	212	2	no	—
2240	C₂²×C₄	—	212	2	no	—
2241	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2242	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2243	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2244	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2245	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2246	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2247	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2248	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2249	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2250	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2251	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2252	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2253	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2254	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2255	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2256	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2257	C₄⋊C₄	—	53	4	no	—
2258	C₄⋊C₄	—	53	2	no	—
2259	C₄⋊C₄	—	53	4	no	—
2260	C₄⋊C₄	—	53	4	no	—
2261	C₄⋊C₄	—	53	4	no	—
2262	C₄⋊C₄	—	53	4	no	—
2263	C₄⋊C₄	—	53	2	no	—
2264	C₄⋊C₄	—	53	2	no	—
2265	C₄⋊C₄	—	53	2	no	—
2266	C₄⋊C₄	—	53	2	no	—
2267	C₄⋊C₄	—	53	2	no	—
2268	C₄⋊C₄	—	53	2	no	—
2269	C₄⋊C₄	—	53	2	no	—
2270	C₄⋊C₄	—	53	4	no	—
2271	C₄⋊C₄	—	53	2	no	—
2272	C₄⋊C₄	—	53	4	no	—
2273	C₄⋊C₄	—	53	4	no	—
2274	C₄⋊C₄	—	53	4	no	—
2275	C₄⋊C₄	—	53	4	no	—
2276	C₄⋊C₄	—	53	2	no	—
2277	C₄⋊C₄	—	53	4	no	—
2278	C₄⋊C₄	—	53	4	no	—
2279	C₄⋊C₄	—	53	4	no	—
2280	C₄⋊C₄	—	53	4	no	—
2281	C₄⋊C₄	—	53	4	no	—
2282	C₄⋊C₄	—	53	4	no	—
2283	C₄⋊C₄	—	53	4	no	—
2284	C₄⋊C₄	—	53	4	no	—
2285	C₄⋊C₄	—	53	4	no	—
2286	C₄⋊C₄	—	53	4	no	—
2287	C₄⋊C₄	—	53	4	no	—
2288	C₄⋊C₄	—	53	4	no	—
2289	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2290	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2291	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2292	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2293	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2294	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2295	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2296	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2297	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2298	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2299	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2300	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2301	C₂²⋊C₄	—	53	2	no	—
2302	C₂²⋊C₄	—	53	4	no	—
2303	C₂²⋊C₄	—	53	4	no	—
2304	C₂²⋊C₄	—	53	2	no	—
2305	C₂²⋊C₄	—	53	4	no	—
2306	C₂²⋊C₄	—	53	2	no	—
2307	C₂²⋊C₄	—	53	4	no	—
2308	C₂²⋊C₄	—	53	4	no	—
2309	C₂²⋊C₄	—	53	2	no	—
2310	C₂²⋊C₄	—	53	4	no	—
2311	C₂²⋊C₄	—	53	4	no	—
2312	C₂²⋊C₄	—	53	4	no	—
2313	C₂²⋊C₄	—	53	4	no	—
2314	C₂²⋊C₄	—	53	4	no	—
2315	C₂²⋊C₄	—	53	2	no	—
2316	C₂²⋊C₄	—	53	2	no	—
2317	C₂²⋊C₄	—	53	4	no	—
2318	C₂²⋊C₄	—	53	4	no	—
2319	C₂²⋊C₄	—	53	4	no	—
2320	C₂²⋊C₄	—	53	4	no	—
2321	C₂²⋊C₄	—	53	2	no	—
2322	C₂²⋊C₄	—	53	2	no	—
2323	C₂²⋊C₄	—	53	4	no	—
2324	C₂²⋊C₄	—	53	4	no	—
2325	C₂²⋊C₄	—	53	2	no	—
2326	C₂²⋊C₄	—	53	2	no	—
2327	C₂²⋊C₄	—	53	4	no	—
2328	C₂²⋊C₄	—	53	4	no	—
2329	C₂²⋊C₄	—	53	4	no	—
2330	C₂²⋊C₄	—	53	4	no	—
2331	C₂²⋊C₄	—	53	2	no	—
2332	C₂²⋊C₄	—	53	2	no	—
2333	C₂²⋊C₄	—	53	4	no	—
2334	C₂²⋊C₄	—	53	4	no	—
2335	C₂²⋊C₄	—	53	4	no	—
2336	C₂²⋊C₄	—	53	4	no	—
2337	C₂²⋊C₄	—	53	4	no	—
2338	C₂²⋊C₄	—	53	4	no	—
2339	C₂²⋊C₄	—	53	4	no	—
2340	C₂²⋊C₄	—	53	4	no	—
2341	C₂²⋊C₄	—	53	4	no	—
2342	C₂²⋊C₄	—	53	4	no	—
2343	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2344	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2345	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2346	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2347	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2348	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2349	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2350	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2351	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2352	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2353	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2354	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2355	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2356	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2357	C₄²	—	53	2	no	—
2358	C₄²	—	53	2	no	—
2359	C₄²	—	53	2	no	—
2360	C₄²	—	53	2	no	—
2361	C₄²	—	53	2	no	—
2362	C₄²	—	53	2	no	—
2363	C₄²	—	53	4	no	—
2364	C₄²	—	53	4	no	—
2365	C₄²	—	53	4	no	—
2366	C₄²	—	53	4	no	—
2367	C₄²	—	53	4	no	—
2368	C₄²	—	53	4	no	—
2369	C₄²	C₂³×D₅₃	1	2	yes	—
2370	C₄²	C₂³×D₅₃	1	2	yes	—
2371	C₄²	C₂³×D₅₃	1	4	yes	—
2372	C₄²	C₂³×D₅₃	1	4	yes	—
2373	C₂³	—	2	2	no	—
2374	C₂³	—	2	4	no	—
2375	C₂³	—	4	1	no	—
2376	C₂³	—	4	1	no	—
2377	C₂³	—	4	1	no	—
2378	C₂³	—	4	1	no	—
2379	C₂³	—	4	2	no	—
2380	C₂³	—	4	2	no	—
2381	C₂³	—	53	1	no	—
2382	C₂³	—	53	4	no	—
2383	C₂³	—	53	4	no	—
2384	C₂³	—	53	4	no	—
2385	C₂³	—	53	1	no	—
2386	C₂³	—	53	1	no	—
2387	C₂³	—	53	1	no	—
2388	C₂³	—	53	4	no	—
2389	C₂³	—	53	4	no	—
2390	C₂³	—	53	4	no	—
2391	C₂³	—	53	2	no	—
2392	C₂³	—	53	4	no	—
2393	C₂³	—	106	2	no	—
2394	C₂³	—	106	2	no	—
2395	C₂³	—	106	2	no	—
2396	C₂³	—	106	2	no	—
2397	C₂³	—	106	2	no	—
2398	C₂³	—	106	2	no	—
2399	C₂³	—	106	8	no	—
2400	C₂³	—	106	4	no	—
2401	C₂³	—	106	8	no	—
2402	C₂³	—	106	8	no	—
2403	C₂³	—	106	8	no	—
2404	C₂³	—	106	4	no	—
2405	C₂³	—	106	4	no	—
2406	C₂³	—	106	4	no	—
2407	C₂³	—	106	4	no	—
2408	C₂³	—	106	2	no	—
2409	C₂³	—	424	16	no	—
2410	C₂³	—	212	2	no	—
2411	C₂³	—	212	4	no	—
2412	C₂³	—	212	2	no	—
2413	C₂³	—	212	4	no	—
2414	C₂³	—	212	1	no	—
2415	C₂³	—	212	1	no	—
2416	C₂³	—	212	1	no	—
2417	C₂³	—	212	1	no	—
2418	C₂³	—	212	2	no	—
2419	C₂³	—	212	1	no	—
2420	C₂³	—	212	1	no	—
2421	C₂³	—	212	1	no	—
2422	C₂³	—	212	1	no	—
2423	C₂³	—	212	2	no	—
2424	C₂³	—	212	16	no	—
2425	C₂³	—	212	16	no	—
2426	C₂³	#41×D₅₃	1	4	yes	complemented
2427	C₂³	C₂⁴×D₅₃	1	2	yes	—
2428	C₂³	C₂⁴×D₅₃	1	4	yes	—
2429	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2430	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2431	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2432	Q₈	—	2	4	no	—
2433	Q₈	—	4	2	no	—
2434	Q₈	—	106	8	no	—
2435	Q₈	—	106	4	no	—
2436	Q₈	—	212	2	no	—
2437	Q₈	—	212	4	no	—
2438	D₄	—	2	4	no	—
2439	D₄	—	2	8	no	—
2440	D₄	—	2	4	no	—
2441	D₄	—	2	8	no	—
2442	D₄	—	2	4	no	—
2443	D₄	—	4	2	no	—
2444	D₄	—	4	4	no	—
2445	D₄	—	4	4	no	—
2446	D₄	—	106	4	no	—
2447	D₄	—	106	8	no	—
2448	D₄	—	106	8	no	—
2449	D₄	—	106	4	no	—
2450	D₄	—	106	8	no	—
2451	D₄	—	106	4	no	—
2452	D₄	—	106	8	no	—
2453	D₄	—	106	4	no	—
2454	D₄	—	106	8	no	—
2455	D₄	—	106	4	no	—
2456	D₄	—	106	8	no	—
2457	D₄	—	106	8	no	—
2458	D₄	—	106	4	no	—
2459	D₄	—	106	4	no	—
2460	D₄	—	212	4	no	—
2461	D₄	—	212	2	no	—
2462	D₄	—	212	4	no	—
2463	D₄	—	212	4	no	—
2464	D₄	—	212	4	no	—
2465	D₄	—	212	4	no	—
2466	D₄	—	212	4	no	—
2467	D₄	—	212	4	no	—
2468	C₂×C₄	—	2	4	no	—
2469	C₂×C₄	—	2	2	no	—
2470	C₂×C₄	—	2	2	no	—
2471	C₂×C₄	—	2	2	no	—
2472	C₂×C₄	—	2	2	no	—
2473	C₂×C₄	—	2	4	no	—
2474	C₂×C₄	—	4	1	no	—
2475	C₂×C₄	—	4	2	no	—
2476	C₂×C₄	—	4	1	no	—
2477	C₂×C₄	—	4	1	no	—
2478	C₂×C₄	—	4	1	no	—
2479	C₂×C₄	—	4	1	no	—
2480	C₂×C₄	—	4	4	no	—
2481	C₂×C₄	—	4	2	no	—
2482	C₂×C₄	—	4	2	no	—
2483	C₂×C₄	—	4	4	no	—
2484	C₂×C₄	—	53	1	no	—
2485	C₂×C₄	—	53	4	no	—
2486	C₂×C₄	—	53	2	no	—
2487	C₂×C₄	—	53	2	no	—
2488	C₂×C₄	—	53	4	no	—
2489	C₂×C₄	—	53	1	no	—
2490	C₂×C₄	—	53	2	no	—
2491	C₂×C₄	—	53	4	no	—
2492	C₂×C₄	—	53	4	no	—
2493	C₂×C₄	—	53	1	no	—
2494	C₂×C₄	—	53	1	no	—
2495	C₂×C₄	—	106	2	no	—
2496	C₂×C₄	—	106	2	no	—
2497	C₂×C₄	—	106	2	no	—
2498	C₂×C₄	—	106	4	no	—
2499	C₂×C₄	—	106	2	no	—
2500	C₂×C₄	—	106	4	no	—
2501	C₂×C₄	—	106	2	no	—
2502	C₂×C₄	—	106	2	no	—
2503	C₂×C₄	—	106	8	no	—
2504	C₂×C₄	—	106	4	no	—
2505	C₂×C₄	—	106	8	no	—
2506	C₂×C₄	—	106	4	no	—
2507	C₂×C₄	—	106	4	no	—
2508	C₂×C₄	—	106	8	no	—
2509	C₂×C₄	—	106	8	no	—
2510	C₂×C₄	—	106	2	no	—
2511	C₂×C₄	—	106	2	no	—
2512	C₂×C₄	—	106	2	no	—
2513	C₂×C₄	—	106	4	no	—
2514	C₂×C₄	—	106	4	no	—
2515	C₂×C₄	—	106	2	no	—
2516	C₂×C₄	—	106	2	no	—
2517	C₂×C₄	—	106	2	no	—
2518	C₂×C₄	—	106	2	no	—
2519	C₂×C₄	—	106	4	no	—
2520	C₂×C₄	—	212	2	no	—
2521	C₂×C₄	—	212	4	no	—
2522	C₂×C₄	—	212	4	no	—
2523	C₂×C₄	—	212	4	no	—
2524	C₂×C₄	—	212	2	no	—
2525	C₂×C₄	—	212	2	no	—
2526	C₂×C₄	—	212	2	no	—
2527	C₂×C₄	—	212	1	no	—
2528	C₂×C₄	—	212	1	no	—
2529	C₂×C₄	—	212	1	no	—
2530	C₂×C₄	—	212	1	no	—
2531	C₂×C₄	—	212	1	no	—
2532	C₂×C₄	—	212	1	no	—
2533	C₂×C₄	—	212	4	no	—
2534	C₂×C₄	—	212	4	no	—
2535	C₂×C₄	—	212	4	no	—
2536	C₂×C₄	—	212	1	no	—
2537	C₂×C₄	—	212	4	no	—
2538	C₂×C₄	—	212	2	no	—
2539	C₂×C₄	—	212	1	no	—
2540	C₂×C₄	—	212	2	no	—
2541	C₂×C₄	—	212	1	no	—
2542	C₂×C₄	—	212	1	no	—
2543	C₂×C₄	—	212	1	no	—
2544	C₂×C₄	—	212	2	no	—
2545	C₂×C₄	—	212	4	no	—
2546	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2547	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2548	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2549	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2550	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2551	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2552	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2553	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2554	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2555	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2556	C₂²	—	2	1	no	—
2557	C₂²	—	2	1	no	—
2558	C₂²	—	2	1	no	—
2559	C₂²	—	2	1	no	—
2560	C₂²	—	2	1	no	—
2561	C₂²	—	2	1	no	—
2562	C₂²	—	2	2	no	—
2563	C₂²	—	2	4	no	—
2564	C₂²	—	2	2	no	—
2565	C₂²	—	2	4	no	—
2566	C₂²	—	2	4	no	—
2567	C₂²	—	2	2	no	—
2568	C₂²	—	4	4	no	—
2569	C₂²	—	4	4	no	—
2570	C₂²	—	8	4	no	—
2571	C₂²	—	53	2	no	—
2572	C₂²	—	53	2	no	—
2573	C₂²	—	53	2	no	—
2574	C₂²	—	53	2	no	—
2575	C₂²	—	53	2	no	—
2576	C₂²	—	53	2	no	—
2577	C₂²	—	106	8	no	—
2578	C₂²	—	106	8	no	—
2579	C₂²	—	106	8	no	—
2580	C₂²	—	106	1	no	—
2581	C₂²	—	106	1	no	—
2582	C₂²	—	106	1	no	—
2583	C₂²	—	106	1	no	—
2584	C₂²	—	106	1	no	—
2585	C₂²	—	106	1	no	—
2586	C₂²	—	106	4	no	—
2587	C₂²	—	106	2	no	—
2588	C₂²	—	106	2	no	—
2589	C₂²	—	106	4	no	—
2590	C₂²	—	106	4	no	—
2591	C₂²	—	106	2	no	—
2592	C₂²	—	424	4	no	—
2593	C₂²	—	424	8	no	—
2594	C₂²	—	212	4	no	—
2595	C₂²	—	212	4	no	—
2596	C₂²	—	212	4	no	—
2597	C₂²	—	212	4	no	—
2598	C₂²	—	212	16	no	—
2599	C₂²	—	212	8	no	—
2600	C₂²	—	212	8	no	—
2601	C₂²	C₂×#41×D₅₃	1	2	yes	—
2602	C₂²	C₂×#41×D₅₃	1	2	yes	—
2603	C₂²	C₂×#41×D₅₃	1	2	yes	—
2604	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2605	C₄	—	2	4	no	—
2606	C₄	—	2	2	no	—
2607	C₄	—	2	1	no	—
2608	C₄	—	2	2	no	—
2609	C₄	—	2	1	no	—
2610	C₄	—	2	1	no	—
2611	C₄	—	2	4	no	—
2612	C₄	—	2	2	no	—
2613	C₄	—	2	4	no	—
2614	C₄	—	53	2	no	—
2615	C₄	—	106	2	no	—
2616	C₄	—	106	4	no	—
2617	C₄	—	106	1	no	—
2618	C₄	—	106	2	no	—
2619	C₄	—	106	1	no	—
2620	C₄	—	106	1	no	—
2621	C₄	—	106	4	no	—
2622	C₄	—	106	2	no	—
2623	C₄	—	106	4	no	—
2624	C₄	H(5,𝔽₂)×D₅₃	1	2	yes	—
2625	C₂	—	2	2	no	—
2626	C₂	—	2	2	no	—
2627	C₂	—	2	2	no	—
2628	C₂	—	4	2	no	—
2629	C₂	—	4	4	no	—
2630	C₂	—	53	4	no	—
2631	C₂	—	106	2	no	—
2632	C₂	—	106	2	no	—
2633	C₂	—	106	2	no	—
2634	C₂	—	212	4	no	—
2635	C₂	—	212	2	no	—
2636	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2637	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2638	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3505	C₂
hypercenter	#3505	D₅₃
hypocenter	C₅₃	C₂×#3505
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3505

Complements

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

N	H ≅ G/N	type
1. #20288556	C₂	semidirect
2. #20288555	C₂	semidirect
3. #20288554	C₂	semidirect
4. #20288553	C₂	semidirect
5. #20288552	C₂	semidirect
6. #20288551	C₂	semidirect
7. #20288550	C₂	semidirect
8. #20288549	C₂	semidirect
9. #20288548	C₂	semidirect
10. #20288547	C₂	semidirect
11. #20288546	C₂	semidirect
12. #20288545	C₂	semidirect
13. #20288544	C₂	semidirect
14. #20288543	C₂	semidirect
15. #20288542	C₂	semidirect
16. #553×D₅₃	C₂	semidirect
17. #553×D₅₃	C₂	semidirect
18. #552×D₅₃	C₂	semidirect
19. #551×D₅₃	C₂	semidirect
20. #548×D₅₃	C₂	semidirect
21. #546×D₅₃	C₂	semidirect
22. #539×D₅₃	C₂	semidirect
23. #538×D₅₃	C₂	semidirect
24. #534×D₅₃	C₂	semidirect
25. #529×D₅₃	C₂	semidirect
26. #525×D₅₃	C₂	semidirect
27. C₂×C₂²⋊Q₈×D₅₃	C₂	semidirect
28. C₂×#121×D₅₃	C₂	semidirect
29. #518×D₅₃	C₂	semidirect
30. C₂×C₄×D₄×D₅₃	C₂	semidirect
31. C₅₃×#3505	C₂	semidirect
32. C₂×#41×D₅₃	C₂²	semidirect
33. C₂²×Q₈×D₅₃	C₂²	semidirect
36. C₂²×D₄×D₅₃	C₂²	semidirect
38. C₂³×C₄×D₅₃	C₂²	semidirect
39. #16811326	C₂²	semidirect
40. #16811326	C₂²	semidirect
41. #16811325	C₂²	semidirect
42. #16811325	C₂²	semidirect
43. #16811324	C₂²	semidirect
44. #16811324	C₂²	semidirect
45. #16811324	C₂²	semidirect
46. #16811323	C₂²	semidirect
47. #16811323	C₂²	semidirect
48. #16811322	C₂²	semidirect
49. #16811322	C₂²	semidirect
50. #16811322	C₂²	semidirect
51. #16811321	C₂²	semidirect
52. #16811321	C₂²	semidirect
53. #16811320	C₂²	semidirect
54. #16811320	C₂²	semidirect
55. #16811319	C₂²	semidirect
56. #16811319	C₂²	semidirect
57. #16811318	C₂²	semidirect
58. #16811318	C₂²	semidirect
59. #16811318	C₂²	semidirect
60. #16811317	C₂²	semidirect
61. #16811317	C₂²	semidirect
62. #16811316	C₂²	semidirect
63. #16811316	C₂²	semidirect
64. #16811316	C₂²	semidirect
65. #16811315	C₂²	semidirect
66. #16811314	C₂²	semidirect
67. #16811313	C₂²	semidirect
68. #16811312	C₂²	semidirect
69. #16811311	C₂²	semidirect
70. #16811310	C₂²	semidirect
71. #16811309	C₂²	semidirect
72. #16811308	C₂²	semidirect
73. #16811307	C₂²	semidirect
74. #16811306	C₂²	semidirect
75. #16811305	C₂²	semidirect
76. #16811304	C₂²	semidirect
77. #16811303	C₂²	semidirect
78. #16811302	C₂²	semidirect
79. #16811302	C₂²	semidirect
80. #16811301	C₂²	semidirect
81. #16811300	C₂²	semidirect
82. #16811300	C₂²	semidirect
83. #16811299	C₂²	semidirect
84. #16811299	C₂²	semidirect
85. #16811298	C₂²	semidirect
86. #16811298	C₂²	semidirect
87. #16811297	C₂²	semidirect
88. #16811297	C₂²	semidirect
89. #16811296	C₂²	semidirect
90. #16811296	C₂²	semidirect
91. #16811285	C₂²	semidirect
92. #16811284	C₂²	semidirect
93. #16811283	C₂²	semidirect
94. #16811283	C₂²	semidirect
95. #16811282	C₂²	semidirect
96. #16811282	C₂²	semidirect
97. #16811281	C₂²	semidirect
98. #16811281	C₂²	semidirect
99. #16811280	C₂²	semidirect
100. #16811279	C₂²	semidirect
101. #16811279	C₂²	semidirect
102. #16811270	C₂²	semidirect
103. #16811269	C₂²	semidirect
104. #16811268	C₂²	semidirect
105. #16811267	C₂²	semidirect
106. #16811266	C₂²	semidirect
107. #16811265	C₂²	semidirect
108. #16811264	C₂²	semidirect
109. #16811263	C₂²	semidirect
110. #16811262	C₂²	semidirect
111. #16811261	C₂²	semidirect
112. #16811260	C₂²	semidirect
113. #16811222	C₂²	semidirect
114. #16811221	C₂²	semidirect
115. #16811220	C₂²	semidirect
116. #16811219	C₂²	semidirect
117. #16811218	C₂²	semidirect
118. #16811217	C₂²	semidirect
119. #16811216	C₂²	semidirect
120. #16811215	C₂²	semidirect
121. #16811214	C₂²	semidirect
122. #16811213	C₂²	semidirect
123. #16811212	C₂²	semidirect
124. #16811211	C₂²	semidirect
125. #16811210	C₂²	semidirect
126. #16811209	C₂²	semidirect
127. #16811208	C₂²	semidirect
128. #16811207	C₂²	semidirect
129. #16811206	C₂²	semidirect
130. #16811205	C₂²	semidirect
131. #16811185	C₂²	semidirect
132. #16811184	C₂²	semidirect
133. #16811184	C₂²	semidirect
134. #16811183	C₂²	semidirect
135. #16811183	C₂²	semidirect
136. #16811182	C₂²	semidirect
137. #16811182	C₂²	semidirect
138. #16811181	C₂²	semidirect
139. #16811181	C₂²	semidirect
140. #16811160	C₂²	semidirect
141. #16811159	C₂²	semidirect
142. #16811158	C₂²	semidirect
143. #16811157	C₂²	semidirect
144. #16811156	C₂²	semidirect
145. #16811155	C₂²	semidirect
146. #16811154	C₂²	semidirect
147. #16811153	C₂²	semidirect
148. #16811152	C₂²	semidirect
149. #16811151	C₂²	semidirect
150. #16811150	C₂²	semidirect
151. #126×D₅₃	C₂²	semidirect
152. #126×D₅₃	C₂²	semidirect
153. #126×D₅₃	C₂²	semidirect
154. #125×D₅₃	C₂²	semidirect
155. #125×D₅₃	C₂²	semidirect
156. #124×D₅₃	C₂²	semidirect
157. #124×D₅₃	C₂²	semidirect
158. #16811136	C₂²	semidirect
159. #16811136	C₂²	semidirect
160. #16811135	C₂²	semidirect
161. #16811134	C₂²	semidirect
162. #16811133	C₂²	semidirect
163. #16811133	C₂²	semidirect
164. #16811132	C₂²	semidirect
165. #16811132	C₂²	semidirect
166. #16811131	C₂²	semidirect
167. #16811130	C₂²	semidirect
168. #16811129	C₂²	semidirect
170. #123×D₅₃	C₂²	semidirect
171. #123×D₅₃	C₂²	semidirect
172. #123×D₅₃	C₂²	semidirect
173. #123×D₅₃	C₂²	semidirect
174. C₂×#13133197	C₂²	semidirect
175. C₂×#13133196	C₂²	semidirect
176. C₂×#13133195	C₂²	semidirect
177. C₂×#13133194	C₂²	semidirect
178. C₂×#13133193	C₂²	semidirect
179. C₂²⋊Q₈×D₅₃	C₂²	semidirect
180. C₂²⋊Q₈×D₅₃	C₂²	semidirect
181. C₂²⋊Q₈×D₅₃	C₂²	semidirect
182. C₂²⋊Q₈×D₅₃	C₂²	semidirect
183. C₂²⋊Q₈×D₅₃	C₂²	semidirect
184. C₂²⋊Q₈×D₅₃	C₂²	semidirect
185. C₂²⋊Q₈×D₅₃	C₂²	semidirect
186. C₂²⋊Q₈×D₅₃	C₂²	semidirect
187. C₂²⋊Q₈×D₅₃	C₂²	semidirect
188. C₂²⋊Q₈×D₅₃	C₂²	semidirect
189. C₂×#13133192	C₂²	semidirect
190. C₂×#13133191	C₂²	semidirect
191. C₂×#13133190	C₂²	semidirect
192. C₂×#13133189	C₂²	semidirect
193. C₂×#13133188	C₂²	semidirect
196. #121×D₅₃	C₂²	semidirect
197. #121×D₅₃	C₂²	semidirect
198. #121×D₅₃	C₂²	semidirect
199. #121×D₅₃	C₂²	semidirect
200. #121×D₅₃	C₂²	semidirect
201. #121×D₅₃	C₂²	semidirect
202. #121×D₅₃	C₂²	semidirect
203. #121×D₅₃	C₂²	semidirect
204. #121×D₅₃	C₂²	semidirect
205. #121×D₅₃	C₂²	semidirect
207. #120×D₅₃	C₂²	semidirect
208. #16811098	C₂²	semidirect
209. #16811097	C₂²	semidirect
210. #16811096	C₂²	semidirect
211. #16811096	C₂²	semidirect
212. #16811096	C₂²	semidirect
213. #16811095	C₂²	semidirect
214. #16811095	C₂²	semidirect
215. #16811095	C₂²	semidirect
216. #16811095	C₂²	semidirect
217. C₄×Q₈×D₅₃	C₂²	semidirect
218. C₂×C₄×D₂₁₂	C₂²	semidirect
219. C₂×D₄×Dic₅₃	C₂²	semidirect
220. C₂×#13133179	C₂²	semidirect
221. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
222. C₂×C₄×C₂²⋊D₅₃	C₂²	semidirect
223. C₂×#13133177	C₂²	semidirect
224. C₂×#13133177	C₂²	semidirect
227. C₄×D₄×D₅₃	C₂²	semidirect
228. C₄×D₄×D₅₃	C₂²	semidirect
229. C₄×D₄×D₅₃	C₂²	semidirect
230. C₄×D₄×D₅₃	C₂²	semidirect
231. C₄×D₄×D₅₃	C₂²	semidirect
232. C₄×D₄×D₅₃	C₂²	semidirect
233. C₄×D₄×D₅₃	C₂²	semidirect
234. C₄×D₄×D₅₃	C₂²	semidirect
235. C₄×D₄×D₅₃	C₂²	semidirect
236. C₄×D₄×D₅₃	C₂²	semidirect
237. C₄×D₄×D₅₃	C₂²	semidirect
238. C₄×D₄×D₅₃	C₂²	semidirect
239. #117×D₅₃	C₂²	semidirect
240. #117×D₅₃	C₂²	semidirect
241. #117×D₅₃	C₂²	semidirect
242. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
243. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
244. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
245. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
248. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
249. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
250. C₂×C₂²⋊C₄×D₅₃	C₂²	semidirect
251. C₂×C₄²×D₅₃	C₂²	semidirect
252. C₅₃×#553	C₂²	semidirect
253. C₅₃×#553	C₂²	semidirect
254. C₅₃×#552	C₂²	semidirect
255. C₅₃×#551	C₂²	semidirect
256. C₅₃×#548	C₂²	semidirect
257. C₅₃×#546	C₂²	semidirect
258. C₅₃×#539	C₂²	semidirect
259. C₅₃×#538	C₂²	semidirect
260. C₅₃×#534	C₂²	semidirect
261. C₅₃×#529	C₂²	semidirect
262. C₅₃×#525	C₂²	semidirect
263. C₂×C₂²⋊Q₈×C₅₃	C₂²	semidirect
264. C₂×#121×C₅₃	C₂²	semidirect
265. C₅₃×#518	C₂²	semidirect
266. C₂×C₄×D₄×C₅₃	C₂²	semidirect
270. C₂×#11719949	C₂³	semidirect
271. C₂×#11719945	C₂³	semidirect
272. C₂×#11719945	C₂³	semidirect
273. C₂×#11719947	C₂³	semidirect
274. C₂×#11719947	C₂³	semidirect
276. C₂²×Dic₁₀₆	C₂³	semidirect
277. C₂²×Dic₁₀₆	C₂³	semidirect
281. C₂×Q₈×D₅₃	C₂³	semidirect
282. C₂×Q₈×D₅₃	C₂³	semidirect
285. C₂²×D₂₁₂	C₂³	semidirect
290. C₂²×C₂²⋊D₅₃	C₂³	semidirect
306. C₂×D₄×D₅₃	C₂³	semidirect
307. C₂×D₄×D₅₃	C₂³	semidirect
309. C₂³×Dic₅₃	C₂³	semidirect
334. C₂²×C₄×D₅₃	C₂³	semidirect
335. C₂²×C₄×D₅₃	C₂³	semidirect
336. C₂²×C₄×D₅₃	C₂³	semidirect
337. C₂²×C₄×D₅₃	C₂³	semidirect
338. #13133212	C₂³	semidirect
339. #13133212	C₂³	semidirect
340. #13133212	C₂³	semidirect
341. #13133212	C₂³	semidirect
342. #13133212	C₂³	semidirect
343. #13133212	C₂³	semidirect
344. #13133212	C₂³	semidirect
345. #13133212	C₂³	semidirect
346. #13133212	C₂³	semidirect
347. #13133211	C₂³	semidirect
348. #13133211	C₂³	semidirect
349. #13133211	C₂³	semidirect
350. #13133210	C₂³	semidirect
351. #13133210	C₂³	semidirect
352. #13133210	C₂³	semidirect
353. #13133210	C₂³	semidirect
354. #13133210	C₂³	semidirect
355. #13133210	C₂³	semidirect
356. #13133210	C₂³	semidirect
357. #13133210	C₂³	semidirect
358. #13133210	C₂³	semidirect
359. #13133209	C₂³	semidirect
360. #13133209	C₂³	semidirect
361. #13133208	C₂³	semidirect
362. #13133208	C₂³	semidirect
363. #13133208	C₂³	semidirect
364. #13133208	C₂³	semidirect
365. #13133207	C₂³	semidirect
366. #13133207	C₂³	semidirect
367. #13133207	C₂³	semidirect
368. #13133207	C₂³	semidirect
369. #13133207	C₂³	semidirect
370. #13133207	C₂³	semidirect
371. #13133206	C₂³	semidirect
372. #13133206	C₂³	semidirect
373. #13133205	C₂³	semidirect
374. #13133205	C₂³	semidirect
375. #13133204	C₂³	semidirect
376. #13133204	C₂³	semidirect
377. #13133203	C₂³	semidirect
378. #13133203	C₂³	semidirect
379. #13133203	C₂³	semidirect
380. #13133203	C₂³	semidirect
381. #13133203	C₂³	semidirect
382. #13133203	C₂³	semidirect
385. #13133202	C₂³	semidirect
386. #13133202	C₂³	semidirect
387. #13133202	C₂³	semidirect
388. #13133202	C₂³	semidirect
389. #13133202	C₂³	semidirect
390. #13133202	C₂³	semidirect
391. #13133202	C₂³	semidirect
392. #13133202	C₂³	semidirect
394. #13133201	C₂³	semidirect
395. #13133201	C₂³	semidirect
396. #13133201	C₂³	semidirect
397. #13133201	C₂³	semidirect
399. #13133200	C₂³	semidirect
400. #13133200	C₂³	semidirect
401. #13133200	C₂³	semidirect
402. #13133200	C₂³	semidirect
405. #13133199	C₂³	semidirect
406. #13133199	C₂³	semidirect
407. #13133199	C₂³	semidirect
408. #13133199	C₂³	semidirect
409. #13133199	C₂³	semidirect
410. #13133199	C₂³	semidirect
411. #13133199	C₂³	semidirect
412. #13133199	C₂³	semidirect
414. #13133198	C₂³	semidirect
415. #13133198	C₂³	semidirect
416. #13133198	C₂³	semidirect
417. #13133198	C₂³	semidirect
418. #13133197	C₂³	semidirect
419. #13133197	C₂³	semidirect
420. #13133197	C₂³	semidirect
421. #13133197	C₂³	semidirect
422. #13133197	C₂³	semidirect
423. #13133197	C₂³	semidirect
424. #13133196	C₂³	semidirect
425. #13133196	C₂³	semidirect
426. #13133196	C₂³	semidirect
427. #13133196	C₂³	semidirect
428. #13133196	C₂³	semidirect
429. #13133196	C₂³	semidirect
430. #13133195	C₂³	semidirect
431. #13133195	C₂³	semidirect
432. #13133195	C₂³	semidirect
433. #13133195	C₂³	semidirect
434. #13133195	C₂³	semidirect
435. #13133195	C₂³	semidirect
436. #13133195	C₂³	semidirect
437. #13133194	C₂³	semidirect
438. #13133194	C₂³	semidirect
439. #13133194	C₂³	semidirect
440. #13133194	C₂³	semidirect
441. #13133194	C₂³	semidirect
442. #13133194	C₂³	semidirect
443. #13133194	C₂³	semidirect
444. #13133193	C₂³	semidirect
445. #13133193	C₂³	semidirect
446. #13133193	C₂³	semidirect
447. #13133193	C₂³	semidirect
448. #13133193	C₂³	semidirect
449. #13133193	C₂³	semidirect
452. #13133192	C₂³	semidirect
453. #13133192	C₂³	semidirect
454. #13133192	C₂³	semidirect
455. #13133192	C₂³	semidirect
456. #13133192	C₂³	semidirect
457. #13133192	C₂³	semidirect
460. #13133191	C₂³	semidirect
461. #13133191	C₂³	semidirect
462. #13133191	C₂³	semidirect
463. #13133191	C₂³	semidirect
464. #13133191	C₂³	semidirect
465. #13133191	C₂³	semidirect
468. #13133190	C₂³	semidirect
469. #13133190	C₂³	semidirect
470. #13133190	C₂³	semidirect
471. #13133190	C₂³	semidirect
472. #13133190	C₂³	semidirect
473. #13133190	C₂³	semidirect
474. #13133190	C₂³	semidirect
475. #13133190	C₂³	semidirect
476. #13133190	C₂³	semidirect
479. #13133189	C₂³	semidirect
480. #13133189	C₂³	semidirect
481. #13133189	C₂³	semidirect
482. #13133189	C₂³	semidirect
483. #13133189	C₂³	semidirect
484. #13133189	C₂³	semidirect
485. #13133189	C₂³	semidirect
486. #13133189	C₂³	semidirect
487. #13133189	C₂³	semidirect
490. #13133188	C₂³	semidirect
491. #13133188	C₂³	semidirect
492. #13133188	C₂³	semidirect
493. #13133188	C₂³	semidirect
494. #13133188	C₂³	semidirect
495. #13133188	C₂³	semidirect
499. #13133187	C₂³	semidirect
500. #13133187	C₂³	semidirect
501. #13133187	C₂³	semidirect
503. #13133186	C₂³	semidirect
507. #13133185	C₂³	semidirect
508. #13133185	C₂³	semidirect
509. #13133185	C₂³	semidirect
510. Q₈×Dic₅₃	C₂³	semidirect
511. C₄×Dic₁₀₆	C₂³	semidirect
512. C₄×Dic₁₀₆	C₂³	semidirect
513. #13133182	C₂³	semidirect
514. #13133182	C₂³	semidirect
517. C₄×D₂₁₂	C₂³	semidirect
518. C₄×D₂₁₂	C₂³	semidirect
519. C₄×D₂₁₂	C₂³	semidirect
520. C₄×D₂₁₂	C₂³	semidirect
521. C₄×D₂₁₂	C₂³	semidirect
522. C₄×D₂₁₂	C₂³	semidirect
523. C₄×D₂₁₂	C₂³	semidirect
524. C₄×D₂₁₂	C₂³	semidirect
527. D₄×Dic₅₃	C₂³	semidirect
528. D₄×Dic₅₃	C₂³	semidirect
529. D₄×Dic₅₃	C₂³	semidirect
530. D₄×Dic₅₃	C₂³	semidirect
531. D₄×Dic₅₃	C₂³	semidirect
532. D₄×Dic₅₃	C₂³	semidirect
533. D₄×Dic₅₃	C₂³	semidirect
534. D₄×Dic₅₃	C₂³	semidirect
537. #13133179	C₂³	semidirect
538. #13133179	C₂³	semidirect
539. #13133179	C₂³	semidirect
540. #13133179	C₂³	semidirect
541. #13133179	C₂³	semidirect
542. #13133179	C₂³	semidirect
543. #13133179	C₂³	semidirect
544. #13133179	C₂³	semidirect
549. C₄×C₂²⋊D₅₃	C₂³	semidirect
550. C₄×C₂²⋊D₅₃	C₂³	semidirect
551. C₄×C₂²⋊D₅₃	C₂³	semidirect
552. C₄×C₂²⋊D₅₃	C₂³	semidirect
553. C₄×C₂²⋊D₅₃	C₂³	semidirect
554. C₄×C₂²⋊D₅₃	C₂³	semidirect
555. C₄×C₂²⋊D₅₃	C₂³	semidirect
556. C₄×C₂²⋊D₅₃	C₂³	semidirect
557. C₄×C₂²⋊D₅₃	C₂³	semidirect
558. C₄×C₂²⋊D₅₃	C₂³	semidirect
559. C₄×C₂²⋊D₅₃	C₂³	semidirect
560. C₄×C₂²⋊D₅₃	C₂³	semidirect
561. C₄×C₂²⋊D₅₃	C₂³	semidirect
562. C₄×C₂²⋊D₅₃	C₂³	semidirect
563. C₄×C₂²⋊D₅₃	C₂³	semidirect
568. #13133177	C₂³	semidirect
569. #13133177	C₂³	semidirect
570. #13133177	C₂³	semidirect
571. #13133177	C₂³	semidirect
572. #13133177	C₂³	semidirect
573. #13133177	C₂³	semidirect
574. #13133177	C₂³	semidirect
575. #13133177	C₂³	semidirect
576. #13133177	C₂³	semidirect
577. #13133177	C₂³	semidirect
578. #13133177	C₂³	semidirect
579. #13133177	C₂³	semidirect
580. #13133177	C₂³	semidirect
581. #13133177	C₂³	semidirect
582. #13133177	C₂³	semidirect
583. #13133176	C₂³	semidirect
584. #13133176	C₂³	semidirect
585. #13133176	C₂³	semidirect
586. #13133175	C₂³	semidirect
587. #13133175	C₂³	semidirect
588. #13133175	C₂³	semidirect
589. #13133175	C₂³	semidirect
590. #13133175	C₂³	semidirect
591. #13133175	C₂³	semidirect
592. #13133174	C₂³	semidirect
593. #13133174	C₂³	semidirect
594. #13133174	C₂³	semidirect
595. #13133174	C₂³	semidirect
596. #13133174	C₂³	semidirect
597. #13133173	C₂³	semidirect
598. #13133173	C₂³	semidirect
599. #13133173	C₂³	semidirect
600. #13133173	C₂³	semidirect
601. #13133173	C₂³	semidirect
602. C₂×C₄⋊Dic₅₃	C₂³	semidirect
603. C₂×C₄⋊Dic₅₃	C₂³	semidirect
604. C₂×C₄⋊Dic₅₃	C₂³	semidirect
605. C₂×C₄⋊Dic₅₃	C₂³	semidirect
606. C₂×#11719919	C₂³	semidirect
607. C₂×#11719919	C₂³	semidirect
608. C₂×#11719919	C₂³	semidirect
609. C₂×#11719919	C₂³	semidirect
610. C₂×#11719919	C₂³	semidirect
611. C₂×#11719919	C₂³	semidirect
624. C₄⋊C₄×D₅₃	C₂³	semidirect
625. C₄⋊C₄×D₅₃	C₂³	semidirect
626. C₄⋊C₄×D₅₃	C₂³	semidirect
627. C₄⋊C₄×D₅₃	C₂³	semidirect
628. C₄⋊C₄×D₅₃	C₂³	semidirect
629. C₄⋊C₄×D₅₃	C₂³	semidirect
630. C₄⋊C₄×D₅₃	C₂³	semidirect
631. C₄⋊C₄×D₅₃	C₂³	semidirect
634. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
635. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
636. C₂×C₂²⋊Dic₅₃	C₂³	semidirect
641. C₂×#11719921	C₂³	semidirect
642. C₂×#11719921	C₂³	semidirect
643. C₂×#11719921	C₂³	semidirect
644. C₂×#11719921	C₂³	semidirect
645. C₂×#11719921	C₂³	semidirect
646. C₂×#11719921	C₂³	semidirect
665. C₂²⋊C₄×D₅₃	C₂³	semidirect
666. C₂²⋊C₄×D₅₃	C₂³	semidirect
667. C₂²⋊C₄×D₅₃	C₂³	semidirect
668. C₂²⋊C₄×D₅₃	C₂³	semidirect
669. C₂²⋊C₄×D₅₃	C₂³	semidirect
670. C₂²⋊C₄×D₅₃	C₂³	semidirect
671. C₂²⋊C₄×D₅₃	C₂³	semidirect
672. C₂²⋊C₄×D₅₃	C₂³	semidirect
673. C₂×C₄×Dic₅₃	C₂³	semidirect
674. C₂×C₄×Dic₅₃	C₂³	semidirect
675. C₂×C₄×Dic₅₃	C₂³	semidirect
680. C₄²×D₅₃	C₂³	semidirect
681. C₄²×D₅₃	C₂³	semidirect
682. C₂×#41×C₅₃	C₂³	semidirect
683. C₂²×Q₈×C₅₃	C₂³	semidirect
686. C₂²×D₄×C₅₃	C₂³	semidirect
688. C₂³×C₄×C₅₃	C₂³	semidirect
689. #126×C₅₃	C₂³	semidirect
690. #126×C₅₃	C₂³	semidirect
691. #126×C₅₃	C₂³	semidirect
692. #125×C₅₃	C₂³	semidirect
693. #125×C₅₃	C₂³	semidirect
694. #124×C₅₃	C₂³	semidirect
695. #124×C₅₃	C₂³	semidirect
697. #123×C₅₃	C₂³	semidirect
698. #123×C₅₃	C₂³	semidirect
699. #123×C₅₃	C₂³	semidirect
700. #123×C₅₃	C₂³	semidirect
701. C₂²⋊Q₈×C₅₃	C₂³	semidirect
702. C₂²⋊Q₈×C₅₃	C₂³	semidirect
703. C₂²⋊Q₈×C₅₃	C₂³	semidirect
704. C₂²⋊Q₈×C₅₃	C₂³	semidirect
705. C₂²⋊Q₈×C₅₃	C₂³	semidirect
706. C₂²⋊Q₈×C₅₃	C₂³	semidirect
709. #121×C₅₃	C₂³	semidirect
710. #121×C₅₃	C₂³	semidirect
711. #121×C₅₃	C₂³	semidirect
712. #121×C₅₃	C₂³	semidirect
713. #121×C₅₃	C₂³	semidirect
714. #121×C₅₃	C₂³	semidirect
716. #120×C₅₃	C₂³	semidirect
717. C₄×Q₈×C₅₃	C₂³	semidirect
720. C₄×D₄×C₅₃	C₂³	semidirect
721. C₄×D₄×C₅₃	C₂³	semidirect
722. C₄×D₄×C₅₃	C₂³	semidirect
723. C₄×D₄×C₅₃	C₂³	semidirect
724. C₄×D₄×C₅₃	C₂³	semidirect
725. C₄×D₄×C₅₃	C₂³	semidirect
726. C₄×D₄×C₅₃	C₂³	semidirect
727. C₄×D₄×C₅₃	C₂³	semidirect
728. #117×C₅₃	C₂³	semidirect
729. #117×C₅₃	C₂³	semidirect
730. #117×C₅₃	C₂³	semidirect
731. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
732. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
733. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
734. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
737. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
738. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
739. C₂×C₂²⋊C₄×C₅₃	C₂³	semidirect
740. C₂×C₄²×C₅₃	C₂³	semidirect
752. C₂³×D₅₃	#41	semidirect
1061. C₂³×C₅₃	C₂×#41	semidirect
1103. C₂²×D₅₃	C₂×#41	semidirect
1104. C₂²×D₅₃	C₂×#41	semidirect
1105. C₂²×D₅₃	C₂×#41	semidirect
1321. #3505	D₅₃	direct (N × H)
1350. D₅₃	#3505	direct (N × H)
1384. #553	C₂×D₅₃	semidirect
1385. #553	C₂×D₅₃	semidirect
1397. #552	C₂×D₅₃	semidirect
1413. #551	C₂×D₅₃	semidirect
1425. #548	C₂×D₅₃	semidirect
1437. #546	C₂×D₅₃	semidirect
1447. #539	C₂×D₅₃	semidirect
1457. #538	C₂×D₅₃	semidirect
1467. #534	C₂×D₅₃	semidirect
1479. #529	C₂×D₅₃	semidirect
1498. #525	C₂×D₅₃	semidirect
1519. C₂×C₂²⋊Q₈	C₂×D₅₃	semidirect
1537. C₂×#121	C₂×D₅₃	semidirect
1549. #518	C₂×D₅₃	semidirect
1572. C₂×C₄×D₄	C₂×D₅₃	semidirect
1586. C₅₃	C₂×#3505	semidirect
1596. C₂×#41	C₂²×D₅₃	semidirect
1604. C₂²×Q₈	C₂²×D₅₃	semidirect
1632. C₂²×D₄	C₂²×D₅₃	semidirect
1664. C₂³×C₄	C₂²×D₅₃	semidirect
1686. #126	C₂²×D₅₃	semidirect
1687. #126	C₂²×D₅₃	semidirect
1688. #126	C₂²×D₅₃	semidirect
1701. #125	C₂²×D₅₃	semidirect
1702. #125	C₂²×D₅₃	semidirect
1715. #124	C₂²×D₅₃	semidirect
1716. #124	C₂²×D₅₃	semidirect
1753. #123	C₂²×D₅₃	semidirect
1754. #123	C₂²×D₅₃	semidirect
1755. #123	C₂²×D₅₃	semidirect
1756. #123	C₂²×D₅₃	semidirect
1789. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1790. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1791. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1792. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1793. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1794. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1843. #121	C₂²×D₅₃	semidirect
1844. #121	C₂²×D₅₃	semidirect
1845. #121	C₂²×D₅₃	semidirect
1846. #121	C₂²×D₅₃	semidirect
1847. #121	C₂²×D₅₃	semidirect
1848. #121	C₂²×D₅₃	semidirect
1864. #120	C₂²×D₅₃	semidirect
1870. C₄×Q₈	C₂²×D₅₃	semidirect
1941. C₄×D₄	C₂²×D₅₃	semidirect
1942. C₄×D₄	C₂²×D₅₃	semidirect
1943. C₄×D₄	C₂²×D₅₃	semidirect
1944. C₄×D₄	C₂²×D₅₃	semidirect
1945. C₄×D₄	C₂²×D₅₃	semidirect
1946. C₄×D₄	C₂²×D₅₃	semidirect
1947. C₄×D₄	C₂²×D₅₃	semidirect
1948. C₄×D₄	C₂²×D₅₃	semidirect
1968. #117	C₂²×D₅₃	semidirect
1969. #117	C₂²×D₅₃	semidirect
1970. #117	C₂²×D₅₃	semidirect
2001. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2002. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2003. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2004. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2048. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2049. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2050. C₂×C₂²⋊C₄	C₂²×D₅₃	semidirect
2060. C₂×C₄²	C₂²×D₅₃	semidirect
2426. C₂³	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288556	2
#20288555	2
#20288554	2
#20288553	2
#20288552	2
#20288551	2
#20288550	2
#20288549	2
#20288548	2
#20288547	2
#20288546	2
#20288545	2
#20288544	2
#20288543	2
#20288542	2
#553×D₅₃	2
#552×D₅₃	2
#551×D₅₃	2
#548×D₅₃	2
#546×D₅₃	2
#539×D₅₃	2
#538×D₅₃	2
#534×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₂×C₂²⋊Q₈×D₅₃	2
C₂×#121×D₅₃	2
#518×D₅₃	2
C₂×C₄×D₄×D₅₃	2
C₅₃×#3505	2
C₂×#3505	53

Subgroups — D53×#3505 #28292007

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3505 #28292007