Subgroups — D₅₃×#3494 #28292425

Order 13568.

8006 conjugacy classes of subgroups.

The subgroup lattice has 2814 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20288453	C₂	1	1	yes	maximal, characteristic, complemented
2	#20288452	C₂	1	1	yes	maximal, characteristic, complemented
3	#20288451	C₂	1	1	yes	maximal, characteristic, complemented
4	#20288450	C₂	1	1	yes	maximal, characteristic, complemented
5	#20288449	C₂	1	2	yes	maximal, complemented
6	#20288448	C₂	1	2	yes	maximal, complemented
7	#20288447	C₂	1	1	yes	maximal, characteristic, complemented
8	#20288446	C₂	1	2	yes	maximal, complemented
9	#20288445	C₂	1	2	yes	maximal, complemented
10	#20288444	C₂	1	1	yes	maximal, characteristic, complemented
11	#20288443	C₂	1	2	yes	maximal, complemented
12	#20288442	C₂	1	2	yes	maximal, complemented
13	#20288441	C₂	1	4	yes	maximal, complemented
14	#20288440	C₂	1	1	yes	maximal, characteristic, complemented
15	#20288439	C₂	1	2	yes	maximal, complemented
16	#20288438	C₂	1	2	yes	maximal, complemented
17	#20288437	C₂	1	4	yes	maximal, complemented
18	#555×D₅₃	C₂	1	2	yes	maximal, complemented
19	#553×D₅₃	C₂	1	2	yes	maximal, complemented
20	#553×D₅₃	C₂	1	2	yes	maximal, complemented
21	#551×D₅₃	C₂	1	4	yes	maximal, complemented
22	#547×D₅₃	C₂	1	2	yes	maximal, complemented
23	#546×D₅₃	C₂	1	4	yes	maximal, complemented
24	#544×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
25	#542×D₅₃	C₂	1	2	yes	maximal, complemented
26	#540×D₅₃	C₂	1	2	yes	maximal, complemented
27	#535×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
28	#532×D₅₃	C₂	1	2	yes	maximal, complemented
29	#529×D₅₃	C₂	1	2	yes	maximal, complemented
30	#525×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#121×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#520×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
33	#518×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
34	C₂×#117×D₅₃	C₂	1	1	yes	maximal, characteristic, complemented
35	C₅₃×#3494	C₂	1	1	yes	maximal, characteristic, complemented
36	C₂×#41×D₅₃	C₂²	1	1	yes	characteristic
37	C₂×#41×D₅₃	C₂²	1	4	yes	complemented
38	C₂²×D₄×D₅₃	C₂²	1	1	yes	characteristic
39	C₂²×D₄×D₅₃	C₂²	1	2	yes	—
40	C₂³×C₄×D₅₃	C₂²	1	1	yes	characteristic
41	#16811339	C₂²	1	2	yes	complemented
42	#16811338	C₂²	1	2	yes	complemented
43	#16811338	C₂²	1	2	yes	complemented
44	#16811337	C₂²	1	2	yes	complemented
45	#16811337	C₂²	1	2	yes	complemented
46	#16811337	C₂²	1	4	yes	complemented
47	#16811336	C₂²	1	4	yes	complemented
48	#16811336	C₂²	1	2	yes	complemented
49	#16811336	C₂²	1	2	yes	complemented
50	#16811335	C₂²	1	4	yes	complemented
51	#16811335	C₂²	1	4	yes	complemented
52	#16811326	C₂²	1	2	yes	complemented
53	#16811326	C₂²	1	2	yes	complemented
54	#16811325	C₂²	1	2	yes	complemented
55	#16811325	C₂²	1	2	yes	complemented
56	#16811324	C₂²	1	4	yes	complemented
57	#16811324	C₂²	1	4	yes	complemented
58	#16811323	C₂²	1	2	yes	complemented
59	#16811323	C₂²	1	2	yes	complemented
60	#16811322	C₂²	1	4	yes	complemented
61	#16811322	C₂²	1	4	yes	complemented
62	#16811321	C₂²	1	2	yes	complemented
63	#16811321	C₂²	1	2	yes	complemented
64	#16811320	C₂²	1	2	yes	complemented
65	#16811320	C₂²	1	2	yes	complemented
66	#16811319	C₂²	1	2	yes	complemented
67	#16811319	C₂²	1	2	yes	complemented
68	#16811318	C₂²	1	4	yes	complemented
69	#16811318	C₂²	1	4	yes	complemented
70	#16811317	C₂²	1	2	yes	complemented
71	#16811317	C₂²	1	2	yes	complemented
72	#16811316	C₂²	1	4	yes	complemented
73	#16811316	C₂²	1	4	yes	complemented
74	#16811304	C₂²	1	4	yes	complemented
75	#16811303	C₂²	1	4	yes	complemented
76	#16811302	C₂²	1	4	yes	complemented
77	#16811302	C₂²	1	4	yes	complemented
78	#16811301	C₂²	1	4	yes	complemented
79	#16811300	C₂²	1	4	yes	complemented
80	#16811300	C₂²	1	4	yes	complemented
81	#16811299	C₂²	1	4	yes	complemented
82	#16811299	C₂²	1	4	yes	complemented
83	#16811298	C₂²	1	4	yes	complemented
84	#16811298	C₂²	1	4	yes	complemented
85	#16811297	C₂²	1	4	yes	complemented
86	#16811297	C₂²	1	4	yes	complemented
87	#16811296	C₂²	1	4	yes	complemented
88	#16811296	C₂²	1	4	yes	complemented
89	#16811278	C₂²	1	2	yes	complemented
90	#16811277	C₂²	1	2	yes	complemented
91	#16811276	C₂²	1	2	yes	complemented
92	#16811275	C₂²	1	4	yes	complemented
93	#16811274	C₂²	1	2	yes	complemented
94	#16811274	C₂²	1	2	yes	complemented
95	#16811273	C₂²	1	2	yes	complemented
96	#16811273	C₂²	1	2	yes	complemented
97	#16811272	C₂²	1	4	yes	complemented
98	#16811271	C₂²	1	4	yes	complemented
99	#16811271	C₂²	1	4	yes	complemented
100	#16811270	C₂²	1	4	yes	complemented
101	#16811269	C₂²	1	4	yes	complemented
102	#16811268	C₂²	1	4	yes	complemented
103	#16811267	C₂²	1	4	yes	complemented
104	#16811266	C₂²	1	4	yes	complemented
105	#16811265	C₂²	1	4	yes	complemented
106	#16811265	C₂²	1	4	yes	complemented
107	#16811264	C₂²	1	4	yes	complemented
108	#16811263	C₂²	1	4	yes	complemented
109	#16811263	C₂²	1	4	yes	complemented
110	#16811262	C₂²	1	4	yes	complemented
111	#16811262	C₂²	1	4	yes	complemented
112	#16811261	C₂²	1	4	yes	complemented
113	#16811260	C₂²	1	4	yes	complemented
114	#16811260	C₂²	1	4	yes	complemented
115	#16811254	C₂²	1	1	yes	characteristic, complemented
116	#16811253	C₂²	1	2	yes	complemented
117	#16811253	C₂²	1	2	yes	complemented
118	#16811252	C₂²	1	4	yes	complemented
119	#16811251	C₂²	1	1	yes	characteristic, complemented
120	#16811251	C₂²	1	1	yes	characteristic, complemented
121	#16811250	C₂²	1	2	yes	complemented
122	#16811250	C₂²	1	2	yes	complemented
123	#16811247	C₂²	1	2	yes	complemented
124	#16811246	C₂²	1	2	yes	complemented
125	#16811245	C₂²	1	2	yes	complemented
126	#16811244	C₂²	1	2	yes	complemented
127	#16811243	C₂²	1	4	yes	complemented
128	#16811242	C₂²	1	2	yes	complemented
129	#16811241	C₂²	1	4	yes	complemented
130	#16811240	C₂²	1	2	yes	complemented
131	#16811239	C₂²	1	4	yes	complemented
132	#16811238	C₂²	1	2	yes	complemented
133	#16811237	C₂²	1	4	yes	complemented
134	#16811229	C₂²	1	2	yes	complemented
135	#16811228	C₂²	1	2	yes	complemented
136	#16811227	C₂²	1	2	yes	complemented
137	#16811226	C₂²	1	2	yes	complemented
138	#16811226	C₂²	1	2	yes	complemented
139	#16811225	C₂²	1	4	yes	complemented
140	#16811225	C₂²	1	4	yes	complemented
141	#16811224	C₂²	1	2	yes	complemented
142	#16811224	C₂²	1	2	yes	complemented
143	#16811223	C₂²	1	4	yes	complemented
144	#16811223	C₂²	1	4	yes	complemented
145	#16811192	C₂²	1	1	yes	characteristic, complemented
146	#16811191	C₂²	1	2	yes	complemented
147	#16811190	C₂²	1	1	yes	characteristic, complemented
148	#16811189	C₂²	1	2	yes	complemented
149	#16811189	C₂²	1	2	yes	complemented
150	#16811188	C₂²	1	4	yes	complemented
151	#16811187	C₂²	1	1	yes	characteristic, complemented
152	#16811186	C₂²	1	2	yes	complemented
153	#16811174	C₂²	1	2	yes	complemented
154	#16811173	C₂²	1	2	yes	complemented
155	#16811172	C₂²	1	4	yes	complemented
156	#16811171	C₂²	1	2	yes	complemented
157	#16811170	C₂²	1	2	yes	complemented
158	#16811170	C₂²	1	4	yes	complemented
159	#16811170	C₂²	1	2	yes	complemented
160	#16811169	C₂²	1	4	yes	complemented
161	#16811168	C₂²	1	2	yes	complemented
162	#16811168	C₂²	1	4	yes	complemented
163	#16811168	C₂²	1	2	yes	complemented
164	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
165	C₄⋊Q₈×D₅₃	C₂²	1	2	yes	complemented
166	#127×D₅₃	C₂²	1	2	yes	complemented
167	#16811160	C₂²	1	2	yes	complemented
168	#16811159	C₂²	1	2	yes	complemented
169	#16811158	C₂²	1	2	yes	complemented
170	#16811157	C₂²	1	2	yes	complemented
171	#16811156	C₂²	1	4	yes	complemented
172	#16811155	C₂²	1	2	yes	complemented
173	#16811154	C₂²	1	2	yes	complemented
174	#16811153	C₂²	1	4	yes	complemented
175	#16811152	C₂²	1	2	yes	complemented
176	#16811151	C₂²	1	4	yes	complemented
177	#16811150	C₂²	1	4	yes	complemented
178	#126×D₅₃	C₂²	1	4	yes	complemented
179	#126×D₅₃	C₂²	1	4	yes	complemented
180	#125×D₅₃	C₂²	1	2	yes	complemented
181	#125×D₅₃	C₂²	1	2	yes	complemented
182	#124×D₅₃	C₂²	1	2	yes	complemented
183	#124×D₅₃	C₂²	1	4	yes	complemented
184	#124×D₅₃	C₂²	1	4	yes	complemented
185	#16811136	C₂²	1	1	yes	characteristic, complemented
186	#16811136	C₂²	1	1	yes	characteristic, complemented
187	#16811135	C₂²	1	1	yes	characteristic, complemented
188	#16811134	C₂²	1	1	yes	characteristic, complemented
189	#16811133	C₂²	1	1	yes	characteristic, complemented
190	#16811133	C₂²	1	1	yes	characteristic, complemented
191	#16811132	C₂²	1	2	yes	complemented
192	#16811132	C₂²	1	2	yes	complemented
193	#16811131	C₂²	1	2	yes	complemented
194	#16811130	C₂²	1	1	yes	characteristic, complemented
195	#16811129	C₂²	1	2	yes	complemented
196	#123×D₅₃	C₂²	1	2	yes	—
197	#123×D₅₃	C₂²	1	4	yes	complemented
198	#123×D₅₃	C₂²	1	4	yes	complemented
199	#123×D₅₃	C₂²	1	4	yes	complemented
200	#123×D₅₃	C₂²	1	4	yes	complemented
201	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	—
202	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
203	C₂²⋊Q₈×D₅₃	C₂²	1	4	yes	complemented
204	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic, complemented
205	C₂×#13133192	C₂²	1	1	yes	characteristic, complemented
206	C₂×#13133191	C₂²	1	1	yes	characteristic, complemented
207	C₂×#13133190	C₂²	1	2	yes	complemented
208	C₂×#13133189	C₂²	1	2	yes	complemented
209	C₂×#13133188	C₂²	1	1	yes	characteristic, complemented
210	#121×D₅₃	C₂²	1	2	yes	—
211	#121×D₅₃	C₂²	1	2	yes	—
212	#121×D₅₃	C₂²	1	2	yes	—
213	#121×D₅₃	C₂²	1	2	yes	—
214	#121×D₅₃	C₂²	1	2	yes	complemented
215	#121×D₅₃	C₂²	1	2	yes	complemented
216	#121×D₅₃	C₂²	1	2	yes	complemented
217	#121×D₅₃	C₂²	1	2	yes	complemented
218	#121×D₅₃	C₂²	1	2	yes	complemented
219	#121×D₅₃	C₂²	1	2	yes	complemented
220	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
221	#121×D₅₃	C₂²	1	4	yes	complemented
222	#121×D₅₃	C₂²	1	4	yes	complemented
223	#121×D₅₃	C₂²	1	4	yes	complemented
224	#121×D₅₃	C₂²	1	1	yes	characteristic, complemented
225	#120×D₅₃	C₂²	1	4	yes	—
226	#120×D₅₃	C₂²	1	2	yes	—
227	#16811106	C₂²	1	1	yes	characteristic, complemented
228	#16811105	C₂²	1	2	yes	complemented
229	#16811104	C₂²	1	1	yes	characteristic, complemented
230	#16811104	C₂²	1	2	yes	complemented
231	#16811103	C₂²	1	1	yes	characteristic, complemented
232	#16811103	C₂²	1	2	yes	complemented
233	#16811102	C₂²	1	4	yes	complemented
234	#16811102	C₂²	1	2	yes	complemented
235	#16811098	C₂²	1	1	yes	characteristic, complemented
236	#16811097	C₂²	1	1	yes	characteristic, complemented
237	#16811097	C₂²	1	1	yes	characteristic, complemented
238	#16811096	C₂²	1	4	yes	complemented
239	#16811095	C₂²	1	2	yes	complemented
240	#16811095	C₂²	1	2	yes	complemented
241	#16811095	C₂²	1	2	yes	complemented
242	#16811095	C₂²	1	2	yes	complemented
243	C₄×Q₈×D₅₃	C₂²	1	2	yes	complemented
244	C₄×D₄×D₅₃	C₂²	1	4	yes	—
245	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
246	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
247	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
248	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
249	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
250	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
251	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
252	C₄×D₄×D₅₃	C₂²	1	2	yes	complemented
253	C₄×D₄×D₅₃	C₂²	1	4	yes	complemented
254	C₂×#13133176	C₂²	1	1	yes	characteristic, complemented
255	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
256	C₂×#13133175	C₂²	1	1	yes	characteristic, complemented
257	C₂×#13133174	C₂²	1	2	yes	complemented
258	C₂×#13133173	C₂²	1	2	yes	complemented
259	#117×D₅₃	C₂²	1	1	yes	characteristic
260	#117×D₅₃	C₂²	1	1	yes	characteristic
261	#117×D₅₃	C₂²	1	1	yes	characteristic
262	#117×D₅₃	C₂²	1	2	yes	—
263	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
264	#117×D₅₃	C₂²	1	2	yes	complemented
265	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
266	#117×D₅₃	C₂²	1	2	yes	complemented
267	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
268	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
269	#117×D₅₃	C₂²	1	2	yes	complemented
270	#117×D₅₃	C₂²	1	4	yes	complemented
271	#117×D₅₃	C₂²	1	2	yes	complemented
272	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
273	#117×D₅₃	C₂²	1	1	yes	characteristic, complemented
274	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
275	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
276	C₂×C₄⋊C₄×D₅₃	C₂²	1	1	yes	characteristic, complemented
277	C₂×C₄⋊C₄×D₅₃	C₂²	1	2	yes	complemented
278	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
279	C₂×C₂²⋊C₄×D₅₃	C₂²	1	4	yes	—
280	C₂×C₂²⋊C₄×D₅₃	C₂²	1	2	yes	—
281	C₂×C₄²×D₅₃	C₂²	1	2	yes	complemented
282	C₅₃×#555	C₂²	1	2	yes	complemented
283	C₅₃×#553	C₂²	1	2	yes	complemented
284	C₅₃×#553	C₂²	1	2	yes	complemented
285	C₅₃×#551	C₂²	1	4	yes	complemented
286	C₅₃×#547	C₂²	1	2	yes	complemented
287	C₅₃×#546	C₂²	1	4	yes	complemented
288	C₅₃×#544	C₂²	1	1	yes	characteristic, complemented
289	C₅₃×#542	C₂²	1	2	yes	complemented
290	C₅₃×#540	C₂²	1	2	yes	complemented
291	C₅₃×#535	C₂²	1	1	yes	characteristic, complemented
292	C₅₃×#532	C₂²	1	2	yes	complemented
293	C₅₃×#529	C₂²	1	2	yes	complemented
294	C₅₃×#525	C₂²	1	1	yes	characteristic, complemented
295	C₂×#121×C₅₃	C₂²	1	1	yes	characteristic, complemented
296	C₅₃×#520	C₂²	1	1	yes	characteristic, complemented
297	C₅₃×#518	C₂²	1	1	yes	characteristic, complemented
298	C₂×#117×C₅₃	C₂²	1	1	yes	characteristic, complemented
299	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
300	C₂⁴×D₅₃	C₂³	1	2	yes	—
301	C₂×#11719949	C₂³	1	1	yes	characteristic
302	C₂×#11719949	C₂³	1	4	yes	complemented
303	C₂×#11719945	C₂³	1	2	yes	—
304	C₂×#11719945	C₂³	1	1	yes	characteristic
305	C₂×#11719945	C₂³	1	4	yes	complemented
306	C₂×#11719945	C₂³	1	4	yes	complemented
307	C₂×#11719945	C₂³	1	4	yes	complemented
308	C₂×#11719947	C₂³	1	2	yes	—
309	C₂×#11719947	C₂³	1	1	yes	characteristic
310	C₂×#11719947	C₂³	1	4	yes	complemented
311	C₂×#11719947	C₂³	1	4	yes	complemented
312	C₂×#11719947	C₂³	1	4	yes	complemented
313	#41×D₅₃	—	2	8	no	—
314	#41×D₅₃	—	4	16	no	—
315	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
316	C₂×Q₈×D₅₃	C₂³	1	4	yes	—
317	C₂²×D₂₁₂	C₂³	1	1	yes	characteristic
318	C₂²×D₂₁₂	C₂³	1	2	yes	—
319	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
320	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
321	C₂²×C₂²⋊D₅₃	C₂³	1	2	yes	—
322	C₂×D₄×D₅₃	—	2	8	no	—
323	C₂×D₄×D₅₃	—	4	8	no	—
324	C₂×D₄×D₅₃	C₂³	1	2	yes	—
325	C₂×D₄×D₅₃	C₂³	1	2	yes	—
326	C₂×D₄×D₅₃	C₂³	1	2	yes	—
327	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
328	C₂×D₄×D₅₃	C₂³	1	2	yes	—
329	C₂×D₄×D₅₃	C₂³	1	4	yes	—
330	C₂×D₄×D₅₃	C₂³	1	2	yes	—
331	C₂×D₄×D₅₃	C₂³	1	2	yes	—
332	C₂×D₄×D₅₃	C₂³	1	4	yes	—
333	C₂×D₄×D₅₃	C₂³	1	4	yes	—
334	C₂×D₄×D₅₃	C₂³	1	2	yes	—
335	C₂×D₄×D₅₃	C₂³	1	4	yes	—
336	C₂×D₄×D₅₃	C₂³	1	4	yes	—
337	C₂×D₄×D₅₃	C₂³	1	4	yes	—
338	C₂³×Dic₅₃	C₂³	1	1	yes	characteristic
339	C₂²×C₄×D₅₃	—	2	8	no	—
340	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
341	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
342	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
345	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
346	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
347	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
348	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
349	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
350	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
351	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
352	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
353	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
354	C₂²×C₄×D₅₃	C₂³	1	2	yes	—
355	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
356	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
357	C₂²×C₄×D₅₃	C₂³	1	4	yes	—
358	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
359	#13133217	C₂³	1	2	yes	complemented
360	#13133217	C₂³	1	2	yes	complemented
361	#13133216	C₂³	1	4	yes	complemented
362	#13133216	C₂³	1	2	yes	complemented
363	#13133216	C₂³	1	2	yes	complemented
364	#13133216	C₂³	1	2	yes	complemented
365	#13133216	C₂³	1	4	yes	complemented
366	#13133216	C₂³	1	2	yes	complemented
367	#13133215	C₂³	1	4	yes	complemented
368	#13133215	C₂³	1	4	yes	complemented
369	#13133214	C₂³	1	2	yes	complemented
370	#13133213	C₂³	1	2	yes	complemented
371	#13133213	C₂³	1	4	yes	complemented
372	#13133213	C₂³	1	2	yes	complemented
373	#13133213	C₂³	1	4	yes	complemented
374	#13133212	C₂³	1	4	yes	complemented
375	#13133212	C₂³	1	4	yes	complemented
376	#13133212	C₂³	1	4	yes	complemented
377	#13133212	C₂³	1	4	yes	complemented
378	#13133212	C₂³	1	4	yes	complemented
379	#13133212	C₂³	1	4	yes	complemented
380	#13133211	C₂³	1	4	yes	complemented
381	#13133211	C₂³	1	4	yes	complemented
382	#13133210	C₂³	1	4	yes	complemented
383	#13133210	C₂³	1	4	yes	complemented
384	#13133210	C₂³	1	4	yes	complemented
385	#13133210	C₂³	1	4	yes	complemented
386	#13133210	C₂³	1	4	yes	complemented
387	#13133210	C₂³	1	4	yes	complemented
388	#13133209	C₂³	1	2	yes	complemented
389	#13133209	C₂³	1	2	yes	complemented
390	#13133208	C₂³	1	2	yes	complemented
391	#13133208	C₂³	1	2	yes	complemented
392	#13133208	C₂³	1	2	yes	complemented
393	#13133208	C₂³	1	2	yes	complemented
394	#13133207	C₂³	1	4	yes	complemented
395	#13133207	C₂³	1	4	yes	complemented
396	#13133207	C₂³	1	4	yes	complemented
397	#13133207	C₂³	1	4	yes	complemented
398	#13133206	C₂³	1	4	yes	complemented
399	#13133206	C₂³	1	4	yes	complemented
400	#13133206	C₂³	1	2	yes	complemented
401	#13133205	C₂³	1	4	yes	complemented
402	#13133205	C₂³	1	4	yes	complemented
403	#13133205	C₂³	1	2	yes	complemented
404	#13133204	C₂³	1	4	yes	complemented
405	#13133204	C₂³	1	4	yes	complemented
406	#13133204	C₂³	1	2	yes	complemented
407	#13133203	C₂³	1	4	yes	complemented
408	#13133203	C₂³	1	4	yes	complemented
409	#13133203	C₂³	1	4	yes	complemented
410	#13133203	C₂³	1	4	yes	complemented
411	#13133203	C₂³	1	4	yes	complemented
412	#13133203	C₂³	1	4	yes	complemented
413	#13133203	C₂³	1	4	yes	complemented
414	#13133203	C₂³	1	4	yes	complemented
415	#13133203	C₂³	1	4	yes	complemented
416	#13133203	C₂³	1	4	yes	complemented
417	#13133202	C₂³	1	2	yes	—
418	#13133202	C₂³	1	2	yes	—
419	#13133202	C₂³	1	4	yes	complemented
420	#13133202	C₂³	1	4	yes	complemented
421	#13133202	C₂³	1	4	yes	complemented
422	#13133202	C₂³	1	4	yes	complemented
423	#13133202	C₂³	1	4	yes	complemented
424	#13133202	C₂³	1	4	yes	complemented
425	#13133202	C₂³	1	4	yes	complemented
426	#13133202	C₂³	1	4	yes	complemented
427	#13133201	C₂³	1	2	yes	—
428	#13133201	C₂³	1	4	yes	complemented
429	#13133201	C₂³	1	4	yes	complemented
430	#13133201	C₂³	1	4	yes	complemented
431	#13133201	C₂³	1	4	yes	complemented
432	#13133200	C₂³	1	2	yes	—
433	#13133200	C₂³	1	4	yes	complemented
434	#13133200	C₂³	1	4	yes	complemented
435	#13133200	C₂³	1	4	yes	complemented
436	#13133200	C₂³	1	4	yes	complemented
437	#13133199	C₂³	1	2	yes	—
438	#13133199	C₂³	1	2	yes	—
439	#13133199	C₂³	1	4	yes	complemented
440	#13133199	C₂³	1	4	yes	complemented
441	#13133199	C₂³	1	4	yes	complemented
442	#13133199	C₂³	1	4	yes	complemented
443	#13133199	C₂³	1	4	yes	complemented
444	#13133199	C₂³	1	4	yes	complemented
445	#13133199	C₂³	1	4	yes	complemented
446	#13133199	C₂³	1	4	yes	complemented
447	#13133198	C₂³	1	2	yes	—
448	#13133198	C₂³	1	4	yes	complemented
449	#13133198	C₂³	1	4	yes	complemented
450	#13133198	C₂³	1	4	yes	complemented
451	#13133198	C₂³	1	4	yes	complemented
452	#13133197	C₂³	1	4	yes	—
453	#13133197	C₂³	1	4	yes	complemented
454	#13133197	C₂³	1	1	yes	characteristic, complemented
455	#13133197	C₂³	1	1	yes	characteristic, complemented
456	#13133196	C₂³	1	4	yes	—
457	#13133196	C₂³	1	4	yes	complemented
458	#13133196	C₂³	1	1	yes	characteristic, complemented
459	#13133196	C₂³	1	1	yes	characteristic, complemented
460	#13133195	C₂³	1	4	yes	—
461	#13133195	C₂³	1	4	yes	—
462	#13133195	C₂³	1	4	yes	complemented
463	#13133195	C₂³	1	4	yes	complemented
464	#13133195	C₂³	1	2	yes	complemented
465	#13133195	C₂³	1	2	yes	complemented
466	#13133194	C₂³	1	4	yes	—
467	#13133194	C₂³	1	4	yes	—
468	#13133194	C₂³	1	4	yes	complemented
469	#13133194	C₂³	1	4	yes	complemented
470	#13133194	C₂³	1	2	yes	complemented
471	#13133194	C₂³	1	2	yes	complemented
472	#13133193	C₂³	1	4	yes	—
473	#13133193	C₂³	1	4	yes	complemented
474	#13133193	C₂³	1	1	yes	characteristic, complemented
475	#13133193	C₂³	1	1	yes	characteristic, complemented
476	#13133192	C₂³	1	2	yes	—
477	#13133192	C₂³	1	2	yes	—
478	#13133192	C₂³	1	2	yes	—
479	#13133192	C₂³	1	2	yes	—
480	#13133192	C₂³	1	4	yes	complemented
481	#13133192	C₂³	1	4	yes	complemented
482	#13133192	C₂³	1	4	yes	complemented
483	#13133192	C₂³	1	2	yes	complemented
484	#13133192	C₂³	1	2	yes	complemented
485	#13133192	C₂³	1	1	yes	characteristic, complemented
486	#13133192	C₂³	1	1	yes	characteristic, complemented
487	#13133191	C₂³	1	2	yes	—
488	#13133191	C₂³	1	2	yes	—
489	#13133191	C₂³	1	2	yes	—
490	#13133191	C₂³	1	2	yes	—
491	#13133191	C₂³	1	4	yes	complemented
492	#13133191	C₂³	1	4	yes	complemented
493	#13133191	C₂³	1	4	yes	complemented
494	#13133191	C₂³	1	2	yes	complemented
495	#13133191	C₂³	1	2	yes	complemented
496	#13133191	C₂³	1	1	yes	characteristic, complemented
497	#13133191	C₂³	1	1	yes	characteristic, complemented
498	#13133190	C₂³	1	4	yes	—
499	#13133190	C₂³	1	4	yes	—
500	#13133190	C₂³	1	4	yes	—
501	#13133190	C₂³	1	4	yes	—
502	#13133190	C₂³	1	4	yes	complemented
503	#13133190	C₂³	1	4	yes	complemented
504	#13133190	C₂³	1	4	yes	complemented
505	#13133190	C₂³	1	4	yes	complemented
506	#13133190	C₂³	1	4	yes	complemented
507	#13133190	C₂³	1	4	yes	complemented
508	#13133190	C₂³	1	4	yes	complemented
509	#13133190	C₂³	1	4	yes	complemented
510	#13133190	C₂³	1	2	yes	complemented
511	#13133190	C₂³	1	2	yes	complemented
512	#13133189	C₂³	1	4	yes	—
513	#13133189	C₂³	1	4	yes	—
514	#13133189	C₂³	1	4	yes	—
515	#13133189	C₂³	1	4	yes	—
516	#13133189	C₂³	1	4	yes	complemented
517	#13133189	C₂³	1	4	yes	complemented
518	#13133189	C₂³	1	4	yes	complemented
519	#13133189	C₂³	1	4	yes	complemented
520	#13133189	C₂³	1	4	yes	complemented
521	#13133189	C₂³	1	4	yes	complemented
522	#13133189	C₂³	1	4	yes	complemented
523	#13133189	C₂³	1	4	yes	complemented
524	#13133189	C₂³	1	2	yes	complemented
525	#13133189	C₂³	1	2	yes	complemented
526	#13133188	C₂³	1	2	yes	—
527	#13133188	C₂³	1	2	yes	—
528	#13133188	C₂³	1	2	yes	—
529	#13133188	C₂³	1	2	yes	—
530	#13133188	C₂³	1	4	yes	complemented
531	#13133188	C₂³	1	4	yes	complemented
532	#13133188	C₂³	1	4	yes	complemented
533	#13133188	C₂³	1	2	yes	complemented
534	#13133188	C₂³	1	2	yes	complemented
535	#13133188	C₂³	1	1	yes	characteristic, complemented
536	#13133188	C₂³	1	1	yes	characteristic, complemented
537	#13133187	C₂³	1	2	yes	—
538	#13133187	C₂³	1	4	yes	—
539	#13133187	C₂³	1	2	yes	—
540	#13133187	C₂³	1	2	yes	—
541	#13133187	C₂³	1	4	yes	—
542	#13133187	C₂³	1	4	yes	—
543	#13133186	C₂³	1	2	yes	—
544	#13133186	C₂³	1	4	yes	—
545	#13133185	C₂³	1	2	yes	—
546	#13133185	C₂³	1	4	yes	—
547	#13133185	C₂³	1	2	yes	—
548	#13133185	C₂³	1	4	yes	—
549	#13133185	C₂³	1	4	yes	—
550	#13133185	C₂³	1	2	yes	—
551	Q₈×Dic₅₃	C₂³	1	2	yes	complemented
552	C₄×Dic₁₀₆	C₂³	1	4	yes	complemented
553	C₄×Dic₁₀₆	C₂³	1	2	yes	complemented
554	#13133182	C₂³	1	4	yes	complemented
555	#13133182	C₂³	1	2	yes	complemented
556	C₄×D₂₁₂	C₂³	1	4	yes	—
557	C₄×D₂₁₂	C₂³	1	4	yes	complemented
558	C₄×D₂₁₂	C₂³	1	2	yes	complemented
559	C₄×D₂₁₂	C₂³	1	2	yes	complemented
560	C₄×D₂₁₂	C₂³	1	4	yes	complemented
561	C₄×D₂₁₂	C₂³	1	2	yes	complemented
562	C₄×D₂₁₂	C₂³	1	2	yes	complemented
563	C₄×D₂₁₂	C₂³	1	2	yes	complemented
564	C₄×D₂₁₂	C₂³	1	2	yes	complemented
565	C₄×D₂₁₂	C₂³	1	2	yes	complemented
566	D₄×Dic₅₃	C₂³	1	4	yes	—
567	D₄×Dic₅₃	C₂³	1	4	yes	complemented
568	D₄×Dic₅₃	C₂³	1	2	yes	complemented
569	D₄×Dic₅₃	C₂³	1	2	yes	complemented
570	D₄×Dic₅₃	C₂³	1	4	yes	complemented
571	D₄×Dic₅₃	C₂³	1	2	yes	complemented
572	D₄×Dic₅₃	C₂³	1	2	yes	complemented
573	D₄×Dic₅₃	C₂³	1	2	yes	complemented
574	D₄×Dic₅₃	C₂³	1	2	yes	complemented
575	D₄×Dic₅₃	C₂³	1	2	yes	complemented
576	#13133179	C₂³	1	4	yes	—
577	#13133179	C₂³	1	4	yes	complemented
578	#13133179	C₂³	1	2	yes	complemented
579	#13133179	C₂³	1	2	yes	complemented
580	#13133179	C₂³	1	4	yes	complemented
581	#13133179	C₂³	1	2	yes	complemented
582	#13133179	C₂³	1	2	yes	complemented
583	#13133179	C₂³	1	2	yes	complemented
584	#13133179	C₂³	1	2	yes	complemented
585	#13133179	C₂³	1	2	yes	complemented
586	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
587	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	—
588	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
589	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
590	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
591	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
592	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
593	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
594	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
595	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
596	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
597	C₄×C₂²⋊D₅₃	C₂³	1	2	yes	complemented
598	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
599	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
600	C₄×C₂²⋊D₅₃	C₂³	1	4	yes	complemented
601	#13133177	C₂³	1	4	yes	—
602	#13133177	C₂³	1	4	yes	—
603	#13133177	C₂³	1	4	yes	complemented
604	#13133177	C₂³	1	4	yes	complemented
605	#13133177	C₂³	1	4	yes	complemented
606	#13133177	C₂³	1	2	yes	complemented
607	#13133177	C₂³	1	2	yes	complemented
608	#13133177	C₂³	1	4	yes	complemented
609	#13133177	C₂³	1	4	yes	complemented
610	#13133177	C₂³	1	4	yes	complemented
611	#13133177	C₂³	1	2	yes	complemented
612	#13133177	C₂³	1	2	yes	complemented
613	#13133177	C₂³	1	4	yes	complemented
614	#13133177	C₂³	1	4	yes	complemented
615	#13133177	C₂³	1	4	yes	complemented
616	#13133176	C₂³	1	2	yes	—
617	#13133176	C₂³	1	1	yes	characteristic
618	#13133176	C₂³	1	1	yes	characteristic
619	#13133176	C₂³	1	1	yes	characteristic
620	#13133176	C₂³	1	4	yes	complemented
621	#13133176	C₂³	1	1	yes	characteristic, complemented
622	#13133176	C₂³	1	2	yes	complemented
623	#13133176	C₂³	1	1	yes	characteristic, complemented
624	#13133176	C₂³	1	2	yes	complemented
625	#13133175	C₂³	1	2	yes	—
626	#13133175	C₂³	1	2	yes	—
627	#13133175	C₂³	1	1	yes	characteristic
628	#13133175	C₂³	1	1	yes	characteristic
629	#13133175	C₂³	1	1	yes	characteristic
630	#13133175	C₂³	1	1	yes	characteristic
631	#13133175	C₂³	1	1	yes	characteristic
632	#13133175	C₂³	1	1	yes	characteristic
633	#13133175	C₂³	1	4	yes	complemented
634	#13133175	C₂³	1	4	yes	complemented
635	#13133175	C₂³	1	1	yes	characteristic, complemented
636	#13133175	C₂³	1	2	yes	complemented
637	#13133175	C₂³	1	1	yes	characteristic, complemented
638	#13133175	C₂³	1	2	yes	complemented
639	#13133175	C₂³	1	1	yes	characteristic, complemented
640	#13133175	C₂³	1	1	yes	characteristic, complemented
641	#13133175	C₂³	1	2	yes	complemented
642	#13133175	C₂³	1	2	yes	complemented
643	#13133174	C₂³	1	2	yes	—
644	#13133174	C₂³	1	2	yes	—
645	#13133174	C₂³	1	2	yes	—
646	#13133174	C₂³	1	2	yes	—
647	#13133174	C₂³	1	2	yes	—
648	#13133174	C₂³	1	4	yes	complemented
649	#13133174	C₂³	1	4	yes	complemented
650	#13133174	C₂³	1	2	yes	complemented
651	#13133174	C₂³	1	4	yes	complemented
652	#13133174	C₂³	1	2	yes	complemented
653	#13133174	C₂³	1	2	yes	complemented
654	#13133174	C₂³	1	2	yes	complemented
655	#13133173	C₂³	1	2	yes	—
656	#13133173	C₂³	1	2	yes	—
657	#13133173	C₂³	1	2	yes	—
658	#13133173	C₂³	1	2	yes	—
659	#13133173	C₂³	1	2	yes	—
660	#13133173	C₂³	1	4	yes	complemented
661	#13133173	C₂³	1	4	yes	complemented
662	#13133173	C₂³	1	2	yes	complemented
663	#13133173	C₂³	1	4	yes	complemented
664	#13133173	C₂³	1	2	yes	complemented
665	#13133173	C₂³	1	2	yes	complemented
666	#13133173	C₂³	1	2	yes	complemented
667	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic
668	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
669	C₂×C₄⋊Dic₅₃	C₂³	1	2	yes	complemented
670	C₂×C₄⋊Dic₅₃	C₂³	1	1	yes	characteristic, complemented
671	C₂×#11719919	C₂³	1	2	yes	—
672	C₂×#11719919	C₂³	1	2	yes	complemented
673	C₂×#11719919	C₂³	1	4	yes	complemented
674	C₂×#11719919	C₂³	1	2	yes	complemented
675	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
676	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
677	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
678	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
679	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
680	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
681	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
682	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
683	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
684	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
685	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
686	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
687	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
688	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
689	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
690	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
691	C₄⋊C₄×D₅₃	C₂³	1	4	yes	—
692	C₄⋊C₄×D₅₃	C₂³	1	2	yes	—
693	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
694	C₄⋊C₄×D₅₃	C₂³	1	4	yes	complemented
695	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
696	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
697	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
698	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
699	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
700	C₄⋊C₄×D₅₃	C₂³	1	2	yes	complemented
701	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic, complemented
702	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
703	C₂×C₂²⋊Dic₅₃	C₂³	1	4	yes	—
704	C₂×C₂²⋊Dic₅₃	C₂³	1	2	yes	—
705	C₂×#11719921	C₂³	1	2	yes	—
706	C₂×#11719921	C₂³	1	4	yes	—
707	C₂×#11719921	C₂³	1	2	yes	—
708	C₂×#11719921	C₂³	1	4	yes	—
709	C₂×#11719921	C₂³	1	2	yes	—
710	C₂×#11719921	C₂³	1	2	yes	—
711	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
712	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
713	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
714	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
715	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
716	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
717	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
718	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
719	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
720	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
721	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
722	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
723	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
724	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
725	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
726	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
727	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
728	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
729	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
730	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
731	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
732	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
733	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
734	C₂²⋊C₄×D₅₃	C₂³	1	4	yes	—
735	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
736	C₂²⋊C₄×D₅₃	C₂³	1	2	yes	—
737	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
738	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
739	C₂×C₄×Dic₅₃	C₂³	1	2	yes	complemented
740	C₄²×D₅₃	C₂³	1	2	yes	—
741	C₄²×D₅₃	C₂³	1	2	yes	—
742	C₄²×D₅₃	C₂³	1	2	yes	—
743	C₄²×D₅₃	C₂³	1	2	yes	—
744	C₄²×D₅₃	C₂³	1	2	yes	—
745	C₄²×D₅₃	C₂³	1	4	yes	—
746	C₄²×D₅₃	C₂³	1	2	yes	complemented
747	C₄²×D₅₃	C₂³	1	2	yes	complemented
748	C₄²×D₅₃	C₂³	1	2	yes	complemented
749	C₄²×D₅₃	C₂³	1	2	yes	complemented
750	C₂×#41×C₅₃	C₂³	1	1	yes	characteristic
751	C₂×#41×C₅₃	C₂³	1	4	yes	complemented
752	C₂²×D₄×C₅₃	C₂³	1	1	yes	characteristic
753	C₂²×D₄×C₅₃	C₂³	1	2	yes	—
754	C₂³×C₄×C₅₃	C₂³	1	1	yes	characteristic
755	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
756	C₄⋊Q₈×C₅₃	C₂³	1	2	yes	complemented
757	#127×C₅₃	C₂³	1	2	yes	complemented
758	#126×C₅₃	C₂³	1	4	yes	complemented
759	#126×C₅₃	C₂³	1	4	yes	complemented
760	#125×C₅₃	C₂³	1	2	yes	complemented
761	#125×C₅₃	C₂³	1	2	yes	complemented
762	#124×C₅₃	C₂³	1	4	yes	complemented
763	#124×C₅₃	C₂³	1	4	yes	complemented
764	#124×C₅₃	C₂³	1	2	yes	complemented
765	#123×C₅₃	C₂³	1	2	yes	—
766	#123×C₅₃	C₂³	1	4	yes	complemented
767	#123×C₅₃	C₂³	1	4	yes	complemented
768	#123×C₅₃	C₂³	1	4	yes	complemented
769	#123×C₅₃	C₂³	1	4	yes	complemented
770	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	—
771	C₂²⋊Q₈×C₅₃	C₂³	1	4	yes	complemented
772	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
773	C₂²⋊Q₈×C₅₃	C₂³	1	1	yes	characteristic, complemented
774	#121×C₅₃	C₂³	1	2	yes	—
775	#121×C₅₃	C₂³	1	2	yes	—
776	#121×C₅₃	C₂³	1	2	yes	—
777	#121×C₅₃	C₂³	1	2	yes	—
778	#121×C₅₃	C₂³	1	4	yes	complemented
779	#121×C₅₃	C₂³	1	2	yes	complemented
780	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
781	#121×C₅₃	C₂³	1	1	yes	characteristic, complemented
782	#121×C₅₃	C₂³	1	4	yes	complemented
783	#121×C₅₃	C₂³	1	2	yes	complemented
784	#121×C₅₃	C₂³	1	4	yes	complemented
785	#120×C₅₃	C₂³	1	2	yes	—
786	#120×C₅₃	C₂³	1	4	yes	—
787	C₄×Q₈×C₅₃	C₂³	1	2	yes	complemented
788	C₄×D₄×C₅₃	C₂³	1	4	yes	—
789	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
790	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
791	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
792	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
793	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
794	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
795	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
796	C₄×D₄×C₅₃	C₂³	1	4	yes	complemented
797	C₄×D₄×C₅₃	C₂³	1	2	yes	complemented
798	#117×C₅₃	C₂³	1	1	yes	characteristic
799	#117×C₅₃	C₂³	1	2	yes	—
800	#117×C₅₃	C₂³	1	1	yes	characteristic
801	#117×C₅₃	C₂³	1	1	yes	characteristic
802	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
803	#117×C₅₃	C₂³	1	2	yes	complemented
804	#117×C₅₃	C₂³	1	1	yes	characteristic, complemented
805	#117×C₅₃	C₂³	1	4	yes	complemented
806	#117×C₅₃	C₂³	1	2	yes	complemented
807	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic
808	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
809	C₂×C₄⋊C₄×C₅₃	C₂³	1	2	yes	complemented
810	C₂×C₄⋊C₄×C₅₃	C₂³	1	1	yes	characteristic, complemented
811	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
812	C₂×C₂²⋊C₄×C₅₃	C₂³	1	4	yes	—
813	C₂×C₂²⋊C₄×C₅₃	C₂³	1	2	yes	—
814	C₂×C₄²×C₅₃	C₂³	1	2	yes	complemented
815	C₂⁴×C₅₃	C₂⁴	1	1	yes	characteristic
816	C₂⁴×C₅₃	C₂⁴	1	2	yes	—
817	C₂³×D₅₃	—	2	4	no	—
818	C₂³×D₅₃	—	2	4	no	—
819	C₂³×D₅₃	—	2	8	no	—
820	C₂³×D₅₃	—	4	2	no	—
821	C₂³×D₅₃	—	4	4	no	—
822	C₂³×D₅₃	—	4	4	no	—
823	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
824	C₂³×D₅₃	C₂⁴	1	4	yes	—
825	C₂³×D₅₃	C₂⁴	1	2	yes	—
826	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
827	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
828	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
829	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
830	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
831	C₂³×D₅₃	C₂⁴	1	4	yes	—
832	C₂³×D₅₃	C₂⁴	1	2	yes	—
833	#41×C₅₃	—	2	4	no	—
834	#41×C₅₃	—	4	8	no	—
835	C₂×Q₈×C₅₃	C₂⁴	1	1	yes	characteristic
836	C₂×Q₈×C₅₃	C₂⁴	1	4	yes	—
837	C₂×D₄×C₅₃	—	2	4	no	—
838	C₂×D₄×C₅₃	—	4	4	no	—
839	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
840	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
841	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
842	C₂×D₄×C₅₃	C₂⁴	1	1	yes	characteristic
843	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
844	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
845	C₂×D₄×C₅₃	C₂⁴	1	2	yes	—
846	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
847	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
848	C₂×D₄×C₅₃	C₂⁴	1	4	yes	—
849	C₂²×C₄×C₅₃	—	2	4	no	—
850	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
851	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
852	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
853	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
854	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
855	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
856	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
857	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
858	C₂²×C₄×C₅₃	C₂⁴	1	2	yes	—
859	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
860	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
861	C₂²×C₄×C₅₃	C₂⁴	1	4	yes	—
862	C₂²×C₄×C₅₃	C₂⁴	1	1	yes	characteristic
863	C₂×C₂²⋊D₅₃	—	2	8	no	—
864	C₂×C₂²⋊D₅₃	—	4	4	no	—
865	C₂×C₂²⋊D₅₃	—	4	4	no	—
866	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
867	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
868	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
869	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
870	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
871	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
872	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
873	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
874	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
875	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
876	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
877	C₂×C₂²⋊D₅₃	C₂⁴	1	2	yes	—
878	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
879	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
880	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
881	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
882	C₂×C₂²⋊D₅₃	C₂⁴	1	4	yes	—
883	C₂²×Dic₅₃	—	2	4	no	—
884	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
885	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
886	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
887	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
888	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
889	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
890	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
891	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
892	C₂²×Dic₅₃	C₂⁴	1	2	yes	—
893	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
894	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
895	C₂²×Dic₅₃	C₂⁴	1	4	yes	—
896	C₂²×Dic₅₃	C₂⁴	1	1	yes	characteristic
897	#11719949	—	2	4	no	—
898	#11719949	—	4	8	no	—
899	Q₈×D₅₃	—	2	4	no	—
900	Q₈×D₅₃	—	4	8	no	—
901	#11719947	—	2	8	no	—
902	#11719947	—	2	4	no	—
903	#11719947	—	4	8	no	—
904	#11719947	—	4	8	no	—
905	#11719947	—	4	8	no	—
906	D₄×D₅₃	—	2	8	no	—
907	D₄×D₅₃	—	2	16	no	—
908	D₄×D₅₃	—	2	8	no	—
909	D₄×D₅₃	—	2	8	no	—
910	D₄×D₅₃	—	2	8	no	—
911	D₄×D₅₃	—	2	4	no	—
912	D₄×D₅₃	—	2	8	no	—
913	D₄×D₅₃	—	2	8	no	—
914	D₄×D₅₃	—	4	8	no	—
915	D₄×D₅₃	—	4	4	no	—
916	D₄×D₅₃	—	4	8	no	—
917	D₄×D₅₃	—	4	8	no	—
918	D₄×D₅₃	—	4	8	no	—
919	D₄×D₅₃	—	4	8	no	—
920	#11719945	—	2	4	no	—
921	#11719945	—	2	8	no	—
922	#11719945	—	4	8	no	—
923	#11719945	—	4	8	no	—
924	#11719945	—	4	8	no	—
925	C₂×D₂₁₂	—	2	4	no	—
926	C₂×D₂₁₂	—	4	4	no	—
927	C₂×D₂₁₂	C₂⁴	1	2	yes	—
928	C₂×D₂₁₂	C₂⁴	1	2	yes	—
929	C₂×D₂₁₂	C₂⁴	1	2	yes	—
930	C₂×D₂₁₂	C₂⁴	1	1	yes	characteristic
931	C₂×D₂₁₂	C₂⁴	1	2	yes	—
932	C₂×D₂₁₂	C₂⁴	1	4	yes	—
933	C₂×D₂₁₂	C₂⁴	1	2	yes	—
934	C₂×D₂₁₂	C₂⁴	1	4	yes	—
935	C₂×D₂₁₂	C₂⁴	1	4	yes	—
936	C₂×D₂₁₂	C₂⁴	1	4	yes	—
937	C₂×C₄×D₅₃	—	2	4	no	—
938	C₂×C₄×D₅₃	—	2	8	no	—
939	C₂×C₄×D₅₃	—	2	4	no	—
940	C₂×C₄×D₅₃	—	2	4	no	—
941	C₂×C₄×D₅₃	—	2	4	no	—
942	C₂×C₄×D₅₃	—	2	4	no	—
943	C₂×C₄×D₅₃	—	2	4	no	—
944	C₂×C₄×D₅₃	—	2	4	no	—
945	C₂×C₄×D₅₃	—	2	8	no	—
946	C₂×C₄×D₅₃	—	2	4	no	—
947	C₂×C₄×D₅₃	—	2	4	no	—
948	C₂×C₄×D₅₃	—	2	4	no	—
949	C₂×C₄×D₅₃	—	2	4	no	—
950	C₂×C₄×D₅₃	—	4	8	no	—
951	C₂×C₄×D₅₃	—	4	4	no	—
952	C₂×C₄×D₅₃	—	4	4	no	—
953	C₂×C₄×D₅₃	—	4	8	no	—
954	C₂×C₄×D₅₃	—	4	8	no	—
955	C₂×C₄×D₅₃	#41	1	8	yes	complemented
956	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
957	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
958	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
959	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
960	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
961	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
962	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
963	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
964	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
965	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
966	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
967	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
968	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
969	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
970	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
971	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
972	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
973	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
974	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
975	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
976	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
977	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
978	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
979	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
980	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
981	C₂×C₄×D₅₃	C₂⁴	1	2	yes	—
982	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
983	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
984	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
985	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
986	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
987	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
988	C₂×C₄×D₅₃	C₂⁴	1	4	yes	—
989	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
990	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
991	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
992	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
993	C₂×Dic₁₀₆	C₂⁴	1	2	yes	—
994	C₂×Dic₁₀₆	C₂⁴	1	1	yes	characteristic
995	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
996	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
997	C₂×Dic₁₀₆	C₂⁴	1	4	yes	—
998	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
999	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1000	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1001	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1002	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1003	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1004	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1005	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1006	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1007	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1008	C₄⋊C₄×C₅₃	C₂⁴	1	1	yes	characteristic
1009	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1010	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1011	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1012	C₄⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1013	C₄⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1014	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1015	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1016	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1017	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1018	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1019	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1020	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1021	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1022	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1023	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1024	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1025	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1026	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1027	C₂²⋊C₄×C₅₃	C₂⁴	1	4	yes	—
1028	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1029	C₂²⋊C₄×C₅₃	C₂⁴	1	2	yes	—
1030	C₄²×C₅₃	C₂⁴	1	2	yes	—
1031	C₄²×C₅₃	C₂⁴	1	2	yes	—
1032	C₄²×C₅₃	C₂⁴	1	2	yes	—
1033	C₄²×C₅₃	C₂⁴	1	2	yes	—
1034	C₄²×C₅₃	C₂⁴	1	2	yes	—
1035	C₄²×C₅₃	C₂⁴	1	4	yes	—
1036	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1037	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1038	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1039	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1040	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1041	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1042	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1043	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1044	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1045	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1046	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1047	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1048	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1049	C₂²⋊Dic₅₃	C₂⁴	1	4	yes	—
1050	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1051	C₂²⋊Dic₅₃	C₂⁴	1	2	yes	—
1052	#11719921	C₂⁴	1	2	yes	—
1053	#11719921	C₂⁴	1	2	yes	—
1054	#11719921	C₂⁴	1	2	yes	—
1055	#11719921	C₂⁴	1	2	yes	—
1056	#11719921	C₂⁴	1	2	yes	—
1057	#11719921	C₂⁴	1	2	yes	—
1058	#11719921	C₂⁴	1	2	yes	—
1059	#11719921	C₂⁴	1	2	yes	—
1060	#11719921	C₂⁴	1	2	yes	—
1061	#11719921	C₂⁴	1	2	yes	—
1062	#11719921	C₂⁴	1	4	yes	—
1063	#11719921	C₂⁴	1	4	yes	—
1064	#11719921	C₂⁴	1	4	yes	—
1065	#11719921	C₂⁴	1	4	yes	—
1066	#11719921	C₂⁴	1	4	yes	—
1067	#11719921	C₂⁴	1	4	yes	—
1068	#11719921	C₂⁴	1	4	yes	—
1069	#11719921	C₂⁴	1	4	yes	—
1070	#11719921	C₂⁴	1	4	yes	—
1071	#11719921	C₂⁴	1	4	yes	—
1072	#11719921	C₂⁴	1	4	yes	—
1073	#11719921	C₂⁴	1	4	yes	—
1074	#11719921	C₂⁴	1	2	yes	—
1075	#11719921	C₂⁴	1	2	yes	—
1076	#11719921	C₂⁴	1	2	yes	—
1077	#11719921	C₂⁴	1	2	yes	—
1078	#11719921	C₂⁴	1	4	yes	—
1079	#11719921	C₂⁴	1	2	yes	—
1080	#11719921	C₂⁴	1	2	yes	—
1081	#11719921	C₂⁴	1	4	yes	—
1082	#11719921	C₂⁴	1	2	yes	—
1083	#11719921	C₂⁴	1	2	yes	—
1084	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1085	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1086	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1087	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1088	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1089	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1090	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1091	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1092	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1093	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1094	C₄⋊Dic₅₃	C₂⁴	1	1	yes	characteristic
1095	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1096	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1097	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1098	C₄⋊Dic₅₃	C₂⁴	1	4	yes	—
1099	C₄⋊Dic₅₃	C₂⁴	1	2	yes	—
1100	#11719919	C₂⁴	1	4	yes	—
1101	#11719919	C₂⁴	1	4	yes	—
1102	#11719919	C₂⁴	1	2	yes	—
1103	#11719919	C₂⁴	1	2	yes	—
1104	#11719919	C₂⁴	1	2	yes	—
1105	#11719919	C₂⁴	1	2	yes	—
1106	#11719919	C₂⁴	1	2	yes	—
1107	#11719919	C₂⁴	1	2	yes	—
1108	#11719919	C₂⁴	1	2	yes	—
1109	#11719919	C₂⁴	1	2	yes	—
1110	#11719919	C₂⁴	1	4	yes	—
1111	#11719919	C₂⁴	1	4	yes	—
1112	#11719919	C₂⁴	1	2	yes	—
1113	#11719919	C₂⁴	1	2	yes	—
1114	#11719919	C₂⁴	1	2	yes	—
1115	#11719919	C₂⁴	1	2	yes	—
1116	#11719919	C₂⁴	1	4	yes	—
1117	#11719919	C₂⁴	1	4	yes	—
1118	#11719919	C₂⁴	1	4	yes	—
1119	#11719919	C₂⁴	1	4	yes	—
1120	#11719919	C₂⁴	1	4	yes	—
1121	#11719919	C₂⁴	1	4	yes	—
1122	#11719919	C₂⁴	1	2	yes	—
1123	#11719919	C₂⁴	1	2	yes	—
1124	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1125	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1126	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1127	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1128	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1129	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1130	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1131	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1132	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1133	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1134	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1135	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1136	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1137	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1138	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1139	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1140	C₄×Dic₅₃	C₂⁴	1	4	yes	—
1141	C₄×Dic₅₃	C₂⁴	1	2	yes	—
1142	C₂³×C₅₃	—	2	2	no	—
1143	C₂³×C₅₃	—	2	2	no	—
1144	C₂³×C₅₃	—	2	4	no	—
1145	C₂³×C₅₃	—	4	1	no	—
1146	C₂³×C₅₃	—	4	2	no	—
1147	C₂³×C₅₃	—	4	2	no	—
1148	C₂³×C₅₃	C₂⁵	1	2	yes	—
1149	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1150	C₂³×C₅₃	C₂⁵	1	4	yes	—
1151	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1152	C₂³×C₅₃	C₂⁵	1	1	yes	characteristic
1153	C₂²×D₅₃	—	2	2	no	—
1154	C₂²×D₅₃	—	2	2	no	—
1155	C₂²×D₅₃	—	2	2	no	—
1156	C₂²×D₅₃	—	2	2	no	—
1157	C₂²×D₅₃	—	2	2	no	—
1158	C₂²×D₅₃	—	2	2	no	—
1159	C₂²×D₅₃	—	2	4	no	—
1160	C₂²×D₅₃	—	2	2	no	—
1161	C₂²×D₅₃	—	2	2	no	—
1162	C₂²×D₅₃	—	2	2	no	—
1163	C₂²×D₅₃	—	2	4	no	—
1164	C₂²×D₅₃	—	2	8	no	—
1165	C₂²×D₅₃	—	2	4	no	—
1166	C₂²×D₅₃	—	2	8	no	—
1167	C₂²×D₅₃	—	2	2	no	—
1168	C₂²×D₅₃	—	2	2	no	—
1169	C₂²×D₅₃	—	2	2	no	—
1170	C₂²×D₅₃	—	2	8	no	—
1171	C₂²×D₅₃	—	2	4	no	—
1172	C₂²×D₅₃	—	2	2	no	—
1173	C₂²×D₅₃	—	2	8	no	—
1174	C₂²×D₅₃	—	4	1	no	—
1175	C₂²×D₅₃	—	4	1	no	—
1176	C₂²×D₅₃	—	4	1	no	—
1177	C₂²×D₅₃	—	4	16	no	—
1178	C₂²×D₅₃	—	4	2	no	—
1179	C₂²×D₅₃	—	4	4	no	—
1180	C₂²×D₅₃	—	4	4	no	—
1181	C₂²×D₅₃	—	4	2	no	—
1182	C₂²×D₅₃	—	8	16	no	—
1183	C₂²×D₅₃	C₂×#41	1	4	yes	—
1184	C₂²×D₅₃	H(5,𝔽₂)	1	4	yes	—
1185	C₂²×D₅₃	C₂⁵	1	2	yes	—
1186	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1187	C₂²×D₅₃	C₂⁵	1	4	yes	—
1188	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1189	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1190	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
1191	Q₈×C₅₃	—	2	2	no	—
1192	Q₈×C₅₃	—	4	4	no	—
1193	D₄×C₅₃	—	2	4	no	—
1194	D₄×C₅₃	—	2	8	no	—
1195	D₄×C₅₃	—	2	4	no	—
1196	D₄×C₅₃	—	2	4	no	—
1197	D₄×C₅₃	—	2	4	no	—
1198	D₄×C₅₃	—	2	2	no	—
1199	D₄×C₅₃	—	4	4	no	—
1200	D₄×C₅₃	—	4	4	no	—
1201	D₄×C₅₃	—	4	2	no	—
1202	D₄×C₅₃	—	4	4	no	—
1203	C₂×C₄×C₅₃	—	2	2	no	—
1204	C₂×C₄×C₅₃	—	2	4	no	—
1205	C₂×C₄×C₅₃	—	2	2	no	—
1206	C₂×C₄×C₅₃	—	2	2	no	—
1207	C₂×C₄×C₅₃	—	2	2	no	—
1208	C₂×C₄×C₅₃	—	2	2	no	—
1209	C₂×C₄×C₅₃	—	2	4	no	—
1210	C₂×C₄×C₅₃	—	4	2	no	—
1211	C₂×C₄×C₅₃	—	4	4	no	—
1212	C₂×C₄×C₅₃	—	4	4	no	—
1213	C₂×C₄×C₅₃	—	4	4	no	—
1214	C₂×C₄×C₅₃	—	4	2	no	—
1215	C₂×C₄×C₅₃	C₂×#41	1	4	yes	complemented
1216	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1217	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1218	C₂×C₄×C₅₃	C₂⁵	1	4	yes	—
1219	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1220	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1221	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1222	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1223	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1224	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1225	C₂×C₄×C₅₃	C₂⁵	1	2	yes	—
1226	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1227	C₂×C₄×C₅₃	C₂⁵	1	1	yes	characteristic
1228	C₂²⋊D₅₃	—	2	4	no	—
1229	C₂²⋊D₅₃	—	2	4	no	—
1230	C₂²⋊D₅₃	—	2	8	no	—
1231	C₂²⋊D₅₃	—	2	4	no	—
1232	C₂²⋊D₅₃	—	2	4	no	—
1233	C₂²⋊D₅₃	—	2	8	no	—
1234	C₂²⋊D₅₃	—	2	4	no	—
1235	C₂²⋊D₅₃	—	2	8	no	—
1236	C₂²⋊D₅₃	—	2	8	no	—
1237	C₂²⋊D₅₃	—	4	4	no	—
1238	C₂²⋊D₅₃	—	4	4	no	—
1239	C₂²⋊D₅₃	—	4	4	no	—
1240	C₂²⋊D₅₃	—	4	4	no	—
1241	C₂²⋊D₅₃	—	4	2	no	—
1242	C₂²⋊D₅₃	—	4	2	no	—
1243	C₂²⋊D₅₃	—	4	4	no	—
1244	C₂²⋊D₅₃	—	4	4	no	—
1245	C₂×Dic₅₃	—	2	2	no	—
1246	C₂×Dic₅₃	—	2	4	no	—
1247	C₂×Dic₅₃	—	2	2	no	—
1248	C₂×Dic₅₃	—	2	2	no	—
1249	C₂×Dic₅₃	—	2	2	no	—
1250	C₂×Dic₅₃	—	2	2	no	—
1251	C₂×Dic₅₃	—	2	4	no	—
1252	C₂×Dic₅₃	—	4	4	no	—
1253	C₂×Dic₅₃	—	4	4	no	—
1254	C₂×Dic₅₃	—	4	4	no	—
1255	C₂×Dic₅₃	—	4	2	no	—
1256	C₂×Dic₅₃	—	4	2	no	—
1257	C₂×Dic₅₃	C₂×#41	1	4	yes	complemented
1258	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1259	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1260	C₂×Dic₅₃	C₂⁵	1	4	yes	—
1261	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1262	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1263	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1264	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1265	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1266	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1267	C₂×Dic₅₃	C₂⁵	1	2	yes	—
1268	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1269	C₂×Dic₅₃	C₂⁵	1	1	yes	characteristic
1270	D₂₁₂	—	2	4	no	—
1271	D₂₁₂	—	2	8	no	—
1272	D₂₁₂	—	2	4	no	—
1273	D₂₁₂	—	2	4	no	—
1274	D₂₁₂	—	2	4	no	—
1275	D₂₁₂	—	2	2	no	—
1276	D₂₁₂	—	4	4	no	—
1277	D₂₁₂	—	4	4	no	—
1278	D₂₁₂	—	4	2	no	—
1279	D₂₁₂	—	4	4	no	—
1280	C₄×D₅₃	—	2	2	no	—
1281	C₄×D₅₃	—	2	2	no	—
1282	C₄×D₅₃	—	2	2	no	—
1283	C₄×D₅₃	—	2	2	no	—
1284	C₄×D₅₃	—	2	4	no	—
1285	C₄×D₅₃	—	2	4	no	—
1286	C₄×D₅₃	—	2	4	no	—
1287	C₄×D₅₃	—	2	4	no	—
1288	C₄×D₅₃	—	2	4	no	—
1289	C₄×D₅₃	—	2	8	no	—
1290	C₄×D₅₃	—	2	4	no	—
1291	C₄×D₅₃	—	2	4	no	—
1292	C₄×D₅₃	—	2	4	no	—
1293	C₄×D₅₃	—	2	4	no	—
1294	C₄×D₅₃	—	2	2	no	—
1295	C₄×D₅₃	—	2	2	no	—
1296	C₄×D₅₃	—	2	2	no	—
1297	C₄×D₅₃	—	2	2	no	—
1298	C₄×D₅₃	—	2	4	no	—
1299	C₄×D₅₃	—	2	2	no	—
1300	C₄×D₅₃	—	2	2	no	—
1301	C₄×D₅₃	—	2	2	no	—
1302	C₄×D₅₃	—	2	2	no	—
1303	C₄×D₅₃	—	2	4	no	—
1304	C₄×D₅₃	—	4	4	no	—
1305	C₄×D₅₃	—	4	2	no	—
1306	C₄×D₅₃	—	4	4	no	—
1307	C₄×D₅₃	—	4	2	no	—
1308	C₄×D₅₃	—	4	4	no	—
1309	C₄×D₅₃	—	4	4	no	—
1310	C₄×D₅₃	—	4	4	no	—
1311	C₄×D₅₃	—	4	4	no	—
1312	C₄×D₅₃	—	4	4	no	—
1313	C₄×D₅₃	C₂×#41	1	4	yes	—
1314	C₄×D₅₃	C₂×#41	1	4	yes	—
1315	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1316	C₄×D₅₃	C₂×#41	1	4	yes	complemented
1317	Dic₁₀₆	—	2	2	no	—
1318	Dic₁₀₆	—	2	4	no	—
1319	Dic₁₀₆	—	4	4	no	—
1320	Dic₁₀₆	—	4	4	no	—
1321	Dic₁₀₆	—	4	4	no	—
1322	C₂×#3494	—	53	1	no	maximal, Sylow
1323	C₂²×C₅₃	—	2	1	no	—
1324	C₂²×C₅₃	—	2	1	no	—
1325	C₂²×C₅₃	—	2	1	no	—
1326	C₂²×C₅₃	—	2	1	no	—
1327	C₂²×C₅₃	—	2	1	no	—
1328	C₂²×C₅₃	—	2	2	no	—
1329	C₂²×C₅₃	—	2	4	no	—
1330	C₂²×C₅₃	—	2	2	no	—
1331	C₂²×C₅₃	—	2	4	no	—
1332	C₂²×C₅₃	—	2	1	no	—
1333	C₂²×C₅₃	—	2	4	no	—
1334	C₂²×C₅₃	—	2	2	no	—
1335	C₂²×C₅₃	—	2	1	no	—
1336	C₂²×C₅₃	—	4	4	no	—
1337	C₂²×C₅₃	—	8	4	no	—
1338	C₂²×C₅₃	C₂²×#41	1	2	yes	—
1339	C₂²×C₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1340	C₂²×C₅₃	C₂⁶	1	1	yes	characteristic
1341	C₂×D₅₃	—	2	1	no	—
1342	C₂×D₅₃	—	2	1	no	—
1343	C₂×D₅₃	—	2	1	no	—
1344	C₂×D₅₃	—	2	1	no	—
1345	C₂×D₅₃	—	2	8	no	—
1346	C₂×D₅₃	—	2	8	no	—
1347	C₂×D₅₃	—	2	1	no	—
1348	C₂×D₅₃	—	2	2	no	—
1349	C₂×D₅₃	—	2	4	no	—
1350	C₂×D₅₃	—	2	2	no	—
1351	C₂×D₅₃	—	2	4	no	—
1352	C₂×D₅₃	—	2	1	no	—
1353	C₂×D₅₃	—	2	4	no	—
1354	C₂×D₅₃	—	2	2	no	—
1355	C₂×D₅₃	—	2	1	no	—
1356	C₂×D₅₃	—	4	4	no	—
1357	C₂×D₅₃	—	4	4	no	—
1358	C₂×D₅₃	—	4	4	no	—
1359	C₂×D₅₃	—	4	8	no	—
1360	C₂×D₅₃	—	4	4	no	—
1361	C₂×D₅₃	—	4	16	no	—
1362	C₂×D₅₃	—	8	8	no	—
1363	C₂×D₅₃	—	8	4	no	—
1364	C₂×D₅₃	C₂²×#41	1	2	yes	—
1365	C₂×D₅₃	C₂²×#41	1	2	yes	—
1366	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1367	C₂×D₅₃	C₂×H(5,𝔽₂)	1	2	yes	—
1368	C₂×D₅₃	#585	1	2	yes	—
1369	C₄×C₅₃	—	2	2	no	—
1370	C₄×C₅₃	—	2	1	no	—
1371	C₄×C₅₃	—	2	1	no	—
1372	C₄×C₅₃	—	2	2	no	—
1373	C₄×C₅₃	—	2	2	no	—
1374	C₄×C₅₃	—	2	4	no	—
1375	C₄×C₅₃	—	2	2	no	—
1376	C₄×C₅₃	—	2	2	no	—
1377	C₄×C₅₃	—	2	2	no	—
1378	C₄×C₅₃	—	2	2	no	—
1379	C₄×C₅₃	C₂²×#41	1	2	yes	—
1380	C₄×C₅₃	C₂²×#41	1	2	yes	—
1381	Dic₅₃	—	2	2	no	—
1382	Dic₅₃	—	2	1	no	—
1383	Dic₅₃	—	2	1	no	—
1384	Dic₅₃	—	2	2	no	—
1385	Dic₅₃	—	2	2	no	—
1386	Dic₅₃	—	2	4	no	—
1387	Dic₅₃	—	2	2	no	—
1388	Dic₅₃	—	2	2	no	—
1389	Dic₅₃	—	2	2	no	—
1390	Dic₅₃	—	2	2	no	—
1391	Dic₅₃	C₂²×#41	1	2	yes	—
1392	Dic₅₃	C₂²×#41	1	2	yes	—
1393	#3494	—	53	2	no	—
1394	#3494	—	53	2	no	—
1395	#3494	—	53	2	no	—
1396	#3494	—	53	4	no	—
1397	#3494	—	53	2	no	—
1398	#3494	—	53	4	no	—
1399	#3494	—	53	1	no	—
1400	#3494	—	53	2	no	—
1401	#3494	—	53	2	no	—
1402	#3494	—	53	1	no	—
1403	#3494	—	53	2	no	—
1404	#3494	—	53	2	no	—
1405	#3494	—	53	1	no	—
1406	#3494	—	53	1	no	—
1407	#3494	—	53	1	no	—
1408	#3494	—	53	1	no	—
1409	#3494	—	53	1	no	—
1410	#3494	D₅₃	1	1	yes	characteristic, direct product factor
1411	C₂×#555	—	53	2	no	—
1412	C₂×#553	—	53	2	no	—
1413	C₂×#553	—	53	2	no	—
1414	C₂×#551	—	53	4	no	—
1415	C₂×#547	—	53	2	no	—
1416	C₂×#546	—	53	4	no	—
1417	C₂×#544	—	53	1	no	—
1418	C₂×#542	—	53	2	no	—
1419	C₂×#540	—	53	2	no	—
1420	C₂×#535	—	53	1	no	—
1421	C₂×#532	—	53	2	no	—
1422	C₂×#529	—	53	2	no	—
1423	C₂×#525	—	53	1	no	—
1424	C₂²×#121	—	53	1	no	—
1425	C₂×#520	—	53	1	no	—
1426	C₂×#518	—	53	1	no	—
1427	C₂²×#117	—	53	1	no	—
1428	C₂×C₅₃	—	2	2	no	—
1429	C₂×C₅₃	—	2	2	no	—
1430	C₂×C₅₃	—	4	1	no	—
1431	C₂×C₅₃	—	4	4	no	—
1432	C₂×C₅₃	—	4	2	no	—
1433	C₂×C₅₃	C₂³×#41	1	1	yes	characteristic
1434	C₂×C₅₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1435	C₂×C₅₃	C₂×#585	1	1	yes	characteristic
1436	D₅₃	—	2	2	no	—
1437	D₅₃	—	2	2	no	—
1438	D₅₃	—	4	2	no	—
1439	D₅₃	—	4	1	no	—
1440	D₅₃	—	4	4	no	—
1441	D₅₃	#3494	1	4	yes	direct product factor
1442	C₂²×#41	—	53	1	no	—
1443	C₂²×#41	—	53	4	no	—
1444	C₂³×D₄	—	53	1	no	—
1445	C₂³×D₄	—	53	2	no	—
1446	C₂⁴×C₄	—	53	1	no	—
1447	#555	—	53	2	no	—
1448	#555	—	53	4	no	—
1449	#555	—	53	4	no	—
1450	#555	—	53	2	no	—
1451	#555	—	53	2	no	—
1452	#555	—	53	4	no	—
1453	#555	—	53	2	no	—
1454	#555	—	53	2	no	—
1455	#555	—	53	2	no	—
1456	#555	—	53	2	no	—
1457	#555	—	53	4	no	—
1458	#555	C₂×D₅₃	1	2	yes	complemented
1459	#553	—	53	4	no	—
1460	#553	—	53	4	no	—
1461	#553	—	53	2	no	—
1462	#553	—	53	2	no	—
1463	#553	—	53	4	no	—
1464	#553	—	53	4	no	—
1465	#553	—	53	2	no	—
1466	#553	—	53	2	no	—
1467	#553	—	53	4	no	—
1468	#553	—	53	4	no	—
1469	#553	—	53	2	no	—
1470	#553	—	53	2	no	—
1471	#553	—	53	2	no	—
1472	#553	—	53	2	no	—
1473	#553	—	53	4	no	—
1474	#553	—	53	4	no	—
1475	#553	—	53	2	no	—
1476	#553	—	53	2	no	—
1477	#553	—	53	2	no	—
1478	#553	—	53	2	no	—
1479	#553	—	53	2	no	—
1480	#553	—	53	2	no	—
1481	#553	C₂×D₅₃	1	2	yes	complemented
1482	#553	C₂×D₅₃	1	2	yes	complemented
1483	#551	—	53	4	no	—
1484	#551	—	53	4	no	—
1485	#551	—	53	4	no	—
1486	#551	—	53	4	no	—
1487	#551	—	53	4	no	—
1488	#551	—	53	4	no	—
1489	#551	—	53	4	no	—
1490	#551	—	53	4	no	—
1491	#551	—	53	4	no	—
1492	#551	—	53	4	no	—
1493	#551	—	53	4	no	—
1494	#551	—	53	4	no	—
1495	#551	—	53	4	no	—
1496	#551	—	53	4	no	—
1497	#551	—	53	4	no	—
1498	#551	C₂×D₅₃	1	4	yes	complemented
1499	#547	—	53	4	no	—
1500	#547	—	53	2	no	—
1501	#547	—	53	4	no	—
1502	#547	—	53	4	no	—
1503	#547	—	53	4	no	—
1504	#547	—	53	2	no	—
1505	#547	—	53	2	no	—
1506	#547	—	53	2	no	—
1507	#547	—	53	2	no	—
1508	#547	—	53	2	no	—
1509	#547	—	53	2	no	—
1510	#547	C₂×D₅₃	1	2	yes	complemented
1511	#546	—	53	4	no	—
1512	#546	—	53	4	no	—
1513	#546	—	53	4	no	—
1514	#546	—	53	4	no	—
1515	#546	—	53	4	no	—
1516	#546	—	53	4	no	—
1517	#546	—	53	4	no	—
1518	#546	—	53	4	no	—
1519	#546	—	53	4	no	—
1520	#546	—	53	4	no	—
1521	#546	—	53	4	no	—
1522	#546	—	53	4	no	—
1523	#546	—	53	4	no	—
1524	#546	—	53	4	no	—
1525	#546	—	53	4	no	—
1526	#546	C₂×D₅₃	1	4	yes	complemented
1527	#544	—	53	2	no	—
1528	#544	—	53	2	no	—
1529	#544	—	53	2	no	—
1530	#544	—	53	2	no	—
1531	#544	—	53	4	no	—
1532	#544	—	53	1	no	—
1533	#544	—	53	1	no	—
1534	#544	—	53	1	no	—
1535	#544	C₂×D₅₃	1	1	yes	characteristic, complemented
1536	#542	—	53	2	no	—
1537	#542	—	53	4	no	—
1538	#542	—	53	4	no	—
1539	#542	—	53	2	no	—
1540	#542	—	53	4	no	—
1541	#542	—	53	4	no	—
1542	#542	—	53	2	no	—
1543	#542	—	53	2	no	—
1544	#542	—	53	2	no	—
1545	#542	—	53	2	no	—
1546	#542	—	53	2	no	—
1547	#542	C₂×D₅₃	1	2	yes	complemented
1548	#540	—	53	2	no	—
1549	#540	—	53	2	no	—
1550	#540	—	53	4	no	—
1551	#540	—	53	4	no	—
1552	#540	—	53	2	no	—
1553	#540	—	53	4	no	—
1554	#540	—	53	4	no	—
1555	#540	—	53	2	no	—
1556	#540	—	53	2	no	—
1557	#540	—	53	2	no	—
1558	#540	—	53	2	no	—
1559	#540	C₂×D₅₃	1	2	yes	complemented
1560	#535	—	53	1	no	—
1561	#535	—	53	1	no	—
1562	#535	—	53	2	no	—
1563	#535	—	53	2	no	—
1564	#535	—	53	2	no	—
1565	#535	—	53	2	no	—
1566	#535	—	53	4	no	—
1567	#535	—	53	1	no	—
1568	#535	C₂×D₅₃	1	1	yes	characteristic, complemented
1569	#532	—	53	4	no	—
1570	#532	—	53	2	no	—
1571	#532	—	53	2	no	—
1572	#532	—	53	4	no	—
1573	#532	—	53	2	no	—
1574	#532	—	53	2	no	—
1575	#532	—	53	4	no	—
1576	#532	—	53	4	no	—
1577	#532	—	53	2	no	—
1578	#532	—	53	2	no	—
1579	#532	—	53	2	no	—
1580	#532	C₂×D₅₃	1	2	yes	complemented
1581	C₂×C₄⋊Q₈	—	53	2	no	—
1582	C₂×C₄⋊Q₈	—	53	2	no	—
1583	C₂×#127	—	53	2	no	—
1584	#529	—	53	4	no	—
1585	#529	—	53	2	no	—
1586	#529	—	53	2	no	—
1587	#529	—	53	4	no	—
1588	#529	—	53	2	no	—
1589	#529	—	53	2	no	—
1590	#529	—	53	2	no	—
1591	#529	—	53	4	no	—
1592	#529	—	53	2	no	—
1593	#529	—	53	4	no	—
1594	#529	—	53	2	no	—
1595	#529	C₂×D₅₃	1	2	yes	complemented
1596	C₂×#126	—	53	4	no	—
1597	C₂×#126	—	53	4	no	—
1598	C₂×#125	—	53	2	no	—
1599	C₂×#125	—	53	2	no	—
1600	C₂×#124	—	53	2	no	—
1601	C₂×#124	—	53	4	no	—
1602	C₂×#124	—	53	4	no	—
1603	#525	—	53	1	no	—
1604	#525	—	53	1	no	—
1605	#525	—	53	2	no	—
1606	#525	—	53	1	no	—
1607	#525	—	53	1	no	—
1608	#525	—	53	1	no	—
1609	#525	—	53	1	no	—
1610	#525	—	53	2	no	—
1611	#525	—	53	2	no	—
1612	#525	—	53	2	no	—
1613	#525	—	53	1	no	—
1614	#525	C₂×D₅₃	1	1	yes	characteristic, complemented
1615	C₂×#123	—	53	2	no	—
1616	C₂×#123	—	53	4	no	—
1617	C₂×#123	—	53	4	no	—
1618	C₂×#123	—	53	4	no	—
1619	C₂×#123	—	53	4	no	—
1620	C₂×C₂²⋊Q₈	—	53	4	no	—
1621	C₂×C₂²⋊Q₈	—	53	1	no	—
1622	C₂×C₂²⋊Q₈	—	53	1	no	—
1623	C₂×C₂²⋊Q₈	—	53	4	no	—
1624	C₂×#121	—	53	1	no	—
1625	C₂×#121	—	53	2	no	—
1626	C₂×#121	—	53	1	no	—
1627	C₂×#121	—	53	2	no	—
1628	C₂×#121	—	53	2	no	—
1629	C₂×#121	—	53	2	no	—
1630	C₂×#121	—	53	2	no	—
1631	C₂×#121	—	53	2	no	—
1632	C₂×#121	—	53	2	no	—
1633	C₂×#121	—	53	2	no	—
1634	C₂×#121	—	53	2	no	—
1635	C₂×#121	—	53	1	no	—
1636	C₂×#121	—	53	1	no	—
1637	C₂×#121	—	53	4	no	—
1638	C₂×#121	—	53	2	no	—
1639	C₂×#121	—	53	2	no	—
1640	C₂×#121	—	53	4	no	—
1641	C₂×#121	—	53	4	no	—
1642	C₂×#121	—	53	1	no	—
1643	C₂×#121	—	53	2	no	—
1644	C₂×#121	C₂×D₅₃	1	1	yes	characteristic, complemented
1645	C₂×#120	—	53	2	no	—
1646	C₂×#120	—	53	4	no	—
1647	#520	—	53	1	no	—
1648	#520	—	53	2	no	—
1649	#520	—	53	4	no	—
1650	#520	—	53	2	no	—
1651	#520	—	53	1	no	—
1652	#520	—	53	2	no	—
1653	#520	—	53	1	no	—
1654	#520	—	53	2	no	—
1655	#520	C₂×D₅₃	1	1	yes	characteristic, complemented
1656	#518	—	53	1	no	—
1657	#518	—	53	2	no	—
1658	#518	—	53	2	no	—
1659	#518	—	53	2	no	—
1660	#518	—	53	2	no	—
1661	#518	—	53	1	no	—
1662	#518	—	53	1	no	—
1663	#518	—	53	4	no	—
1664	#518	C₂×D₅₃	1	1	yes	characteristic, complemented
1665	C₂×C₄×Q₈	—	53	2	no	—
1666	C₂×C₄×D₄	—	53	4	no	—
1667	C₂×C₄×D₄	—	53	2	no	—
1668	C₂×C₄×D₄	—	53	2	no	—
1669	C₂×C₄×D₄	—	53	2	no	—
1670	C₂×C₄×D₄	—	53	2	no	—
1671	C₂×C₄×D₄	—	53	2	no	—
1672	C₂×C₄×D₄	—	53	2	no	—
1673	C₂×C₄×D₄	—	53	2	no	—
1674	C₂×C₄×D₄	—	53	4	no	—
1675	C₂×C₄×D₄	—	53	4	no	—
1676	C₂×#117	—	53	1	no	—
1677	C₂×#117	—	53	1	no	—
1678	C₂×#117	—	53	1	no	—
1679	C₂×#117	—	53	2	no	—
1680	C₂×#117	—	53	1	no	—
1681	C₂×#117	—	53	1	no	—
1682	C₂×#117	—	53	1	no	—
1683	C₂×#117	—	53	2	no	—
1684	C₂×#117	—	53	2	no	—
1685	C₂×#117	—	53	1	no	—
1686	C₂×#117	—	53	1	no	—
1687	C₂×#117	—	53	2	no	—
1688	C₂×#117	—	53	1	no	—
1689	C₂×#117	—	53	1	no	—
1690	C₂×#117	—	53	2	no	—
1691	C₂×#117	—	53	4	no	—
1692	C₂×#117	—	53	1	no	—
1693	C₂×#117	—	53	1	no	—
1694	C₂×#117	—	53	2	no	—
1695	C₂×#117	—	53	2	no	—
1696	C₂×#117	C₂×D₅₃	1	1	yes	characteristic, complemented
1697	C₂²×C₄⋊C₄	—	53	1	no	—
1698	C₂²×C₄⋊C₄	—	53	1	no	—
1699	C₂²×C₄⋊C₄	—	53	1	no	—
1700	C₂²×C₄⋊C₄	—	53	2	no	—
1701	C₂²×C₂²⋊C₄	—	53	2	no	—
1702	C₂²×C₂²⋊C₄	—	53	4	no	—
1703	C₂²×C₂²⋊C₄	—	53	2	no	—
1704	C₂²×C₄²	—	53	2	no	—
1705	C₅₃	C₂×#3494	1	1	yes	characteristic, complemented, Sylow
1706	C₂⁵	—	53	1	no	—
1707	C₂⁵	—	53	2	no	—
1708	C₂×#41	—	53	1	no	—
1709	C₂×#41	—	53	4	no	—
1710	C₂×#41	—	53	2	no	—
1711	C₂×#41	—	53	1	no	—
1712	C₂×#41	—	53	4	no	—
1713	C₂×#41	—	53	4	no	—
1714	C₂×#41	—	53	4	no	—
1715	C₂×#41	—	53	2	no	—
1716	C₂×#41	—	53	1	no	—
1717	C₂×#41	—	53	4	no	—
1718	C₂×#41	—	53	4	no	—
1719	C₂×#41	—	53	4	no	—
1720	C₂×#41	—	106	8	no	—
1721	C₂×#41	—	212	16	no	—
1722	C₂×#41	C₂²×D₅₃	1	1	yes	characteristic
1723	C₂×#41	C₂²×D₅₃	1	4	yes	complemented
1724	C₂²×Q₈	—	53	1	no	—
1725	C₂²×Q₈	—	53	4	no	—
1726	C₂²×D₄	—	53	2	no	—
1727	C₂²×D₄	—	53	2	no	—
1728	C₂²×D₄	—	53	2	no	—
1729	C₂²×D₄	—	53	2	no	—
1730	C₂²×D₄	—	53	2	no	—
1731	C₂²×D₄	—	53	2	no	—
1732	C₂²×D₄	—	53	1	no	—
1733	C₂²×D₄	—	53	2	no	—
1734	C₂²×D₄	—	53	4	no	—
1735	C₂²×D₄	—	53	2	no	—
1736	C₂²×D₄	—	53	2	no	—
1737	C₂²×D₄	—	53	2	no	—
1738	C₂²×D₄	—	53	4	no	—
1739	C₂²×D₄	—	53	4	no	—
1740	C₂²×D₄	—	53	4	no	—
1741	C₂²×D₄	—	53	4	no	—
1742	C₂²×D₄	—	53	4	no	—
1743	C₂²×D₄	—	53	1	no	—
1744	C₂²×D₄	—	53	2	no	—
1745	C₂²×D₄	—	106	8	no	—
1746	C₂²×D₄	—	212	8	no	—
1747	C₂²×D₄	C₂²×D₅₃	1	1	yes	characteristic
1748	C₂²×D₄	C₂²×D₅₃	1	2	yes	—
1749	C₂³×C₄	—	53	1	no	—
1750	C₂³×C₄	—	53	1	no	—
1751	C₂³×C₄	—	53	1	no	—
1752	C₂³×C₄	—	53	2	no	—
1753	C₂³×C₄	—	53	1	no	—
1754	C₂³×C₄	—	53	2	no	—
1755	C₂³×C₄	—	53	1	no	—
1756	C₂³×C₄	—	53	1	no	—
1757	C₂³×C₄	—	53	1	no	—
1758	C₂³×C₄	—	53	1	no	—
1759	C₂³×C₄	—	53	1	no	—
1760	C₂³×C₄	—	53	1	no	—
1761	C₂³×C₄	—	53	1	no	—
1762	C₂³×C₄	—	53	1	no	—
1763	C₂³×C₄	—	53	1	no	—
1764	C₂³×C₄	—	53	2	no	—
1765	C₂³×C₄	—	53	2	no	—
1766	C₂³×C₄	—	53	4	no	—
1767	C₂³×C₄	—	53	4	no	—
1768	C₂³×C₄	—	53	4	no	—
1769	C₂³×C₄	—	106	8	no	—
1770	C₂³×C₄	C₂²×D₅₃	1	1	yes	characteristic
1771	C₄⋊Q₈	—	53	4	no	—
1772	C₄⋊Q₈	—	53	4	no	—
1773	C₄⋊Q₈	—	53	4	no	—
1774	C₄⋊Q₈	—	53	2	no	—
1775	C₄⋊Q₈	—	53	2	no	—
1776	C₄⋊Q₈	—	53	4	no	—
1777	C₄⋊Q₈	—	53	2	no	—
1778	C₄⋊Q₈	—	53	2	no	—
1779	C₄⋊Q₈	—	53	2	no	—
1780	C₄⋊Q₈	—	53	2	no	—
1781	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1782	C₄⋊Q₈	C₂²×D₅₃	1	2	yes	complemented
1783	#127	—	53	4	no	—
1784	#127	—	53	4	no	—
1785	#127	—	53	2	no	—
1786	#127	—	53	2	no	—
1787	#127	—	53	2	no	—
1788	#127	C₂²×D₅₃	1	2	yes	complemented
1789	#126	—	53	4	no	—
1790	#126	—	53	4	no	—
1791	#126	—	53	4	no	—
1792	#126	—	53	4	no	—
1793	#126	—	53	4	no	—
1794	#126	—	53	4	no	—
1795	#126	—	53	4	no	—
1796	#126	—	53	4	no	—
1797	#126	—	53	4	no	—
1798	#126	—	53	4	no	—
1799	#126	—	53	4	no	—
1800	#126	—	53	4	no	—
1801	#126	—	53	4	no	—
1802	#126	—	53	4	no	—
1803	#126	C₂²×D₅₃	1	4	yes	complemented
1804	#126	C₂²×D₅₃	1	4	yes	complemented
1805	#125	—	53	4	no	—
1806	#125	—	53	4	no	—
1807	#125	—	53	2	no	—
1808	#125	—	53	2	no	—
1809	#125	—	53	4	no	—
1810	#125	—	53	4	no	—
1811	#125	—	53	2	no	—
1812	#125	—	53	2	no	—
1813	#125	—	53	2	no	—
1814	#125	—	53	2	no	—
1815	#125	C₂²×D₅₃	1	2	yes	complemented
1816	#125	C₂²×D₅₃	1	2	yes	complemented
1817	#124	—	53	2	no	—
1818	#124	—	53	4	no	—
1819	#124	—	53	4	no	—
1820	#124	—	53	2	no	—
1821	#124	—	53	4	no	—
1822	#124	—	53	4	no	—
1823	#124	—	53	4	no	—
1824	#124	—	53	4	no	—
1825	#124	—	53	4	no	—
1826	#124	—	53	4	no	—
1827	#124	—	53	4	no	—
1828	#124	—	53	4	no	—
1829	#124	—	53	4	no	—
1830	#124	—	53	4	no	—
1831	#124	—	53	4	no	—
1832	#124	—	53	4	no	—
1833	#124	—	53	2	no	—
1834	#124	—	53	4	no	—
1835	#124	—	53	4	no	—
1836	#124	C₂²×D₅₃	1	2	yes	complemented
1837	#124	C₂²×D₅₃	1	4	yes	complemented
1838	#124	C₂²×D₅₃	1	4	yes	complemented
1839	#123	—	53	2	no	—
1840	#123	—	53	4	no	—
1841	#123	—	53	4	no	—
1842	#123	—	53	4	no	—
1843	#123	—	53	4	no	—
1844	#123	—	53	2	no	—
1845	#123	—	53	4	no	—
1846	#123	—	53	4	no	—
1847	#123	—	53	4	no	—
1848	#123	—	53	4	no	—
1849	#123	—	53	2	no	—
1850	#123	—	53	2	no	—
1851	#123	—	53	4	no	—
1852	#123	—	53	4	no	—
1853	#123	—	53	4	no	—
1854	#123	—	53	4	no	—
1855	#123	—	53	4	no	—
1856	#123	—	53	4	no	—
1857	#123	—	53	4	no	—
1858	#123	—	53	4	no	—
1859	#123	—	53	2	no	—
1860	#123	—	53	2	no	—
1861	#123	—	53	2	no	—
1862	#123	—	53	4	no	—
1863	#123	—	53	4	no	—
1864	#123	—	53	4	no	—
1865	#123	—	53	4	no	—
1866	#123	—	53	4	no	—
1867	#123	—	53	4	no	—
1868	#123	—	53	4	no	—
1869	#123	—	53	4	no	—
1870	#123	—	53	4	no	—
1871	#123	—	53	4	no	—
1872	#123	—	53	4	no	—
1873	#123	—	53	4	no	—
1874	#123	C₂²×D₅₃	1	2	yes	—
1875	#123	C₂²×D₅₃	1	4	yes	complemented
1876	#123	C₂²×D₅₃	1	4	yes	complemented
1877	#123	C₂²×D₅₃	1	4	yes	complemented
1878	#123	C₂²×D₅₃	1	4	yes	complemented
1879	C₂²⋊Q₈	—	53	1	no	—
1880	C₂²⋊Q₈	—	53	1	no	—
1881	C₂²⋊Q₈	—	53	4	no	—
1882	C₂²⋊Q₈	—	53	4	no	—
1883	C₂²⋊Q₈	—	53	1	no	—
1884	C₂²⋊Q₈	—	53	1	no	—
1885	C₂²⋊Q₈	—	53	4	no	—
1886	C₂²⋊Q₈	—	53	4	no	—
1887	C₂²⋊Q₈	—	53	2	no	—
1888	C₂²⋊Q₈	—	53	1	no	—
1889	C₂²⋊Q₈	—	53	2	no	—
1890	C₂²⋊Q₈	—	53	1	no	—
1891	C₂²⋊Q₈	—	53	4	no	—
1892	C₂²⋊Q₈	—	53	4	no	—
1893	C₂²⋊Q₈	—	53	4	no	—
1894	C₂²⋊Q₈	—	53	4	no	—
1895	C₂²⋊Q₈	—	53	4	no	—
1896	C₂²⋊Q₈	—	53	4	no	—
1897	C₂²⋊Q₈	—	53	2	no	—
1898	C₂²⋊Q₈	—	53	2	no	—
1899	C₂²⋊Q₈	—	53	4	no	—
1900	C₂²⋊Q₈	—	53	4	no	—
1901	C₂²⋊Q₈	—	53	4	no	—
1902	C₂²⋊Q₈	—	53	4	no	—
1903	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	—
1904	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1905	C₂²⋊Q₈	C₂²×D₅₃	1	1	yes	characteristic, complemented
1906	C₂²⋊Q₈	C₂²×D₅₃	1	4	yes	complemented
1907	#121	—	53	2	no	—
1908	#121	—	53	4	no	—
1909	#121	—	53	2	no	—
1910	#121	—	53	4	no	—
1911	#121	—	53	2	no	—
1912	#121	—	53	4	no	—
1913	#121	—	53	2	no	—
1914	#121	—	53	4	no	—
1915	#121	—	53	1	no	—
1916	#121	—	53	2	no	—
1917	#121	—	53	1	no	—
1918	#121	—	53	2	no	—
1919	#121	—	53	4	no	—
1920	#121	—	53	4	no	—
1921	#121	—	53	4	no	—
1922	#121	—	53	2	no	—
1923	#121	—	53	4	no	—
1924	#121	—	53	2	no	—
1925	#121	—	53	4	no	—
1926	#121	—	53	4	no	—
1927	#121	—	53	4	no	—
1928	#121	—	53	4	no	—
1929	#121	—	53	4	no	—
1930	#121	—	53	4	no	—
1931	#121	—	53	4	no	—
1932	#121	—	53	2	no	—
1933	#121	—	53	2	no	—
1934	#121	—	53	2	no	—
1935	#121	—	53	2	no	—
1936	#121	—	53	1	no	—
1937	#121	—	53	1	no	—
1938	#121	—	53	4	no	—
1939	#121	—	53	2	no	—
1940	#121	—	53	2	no	—
1941	#121	—	53	4	no	—
1942	#121	—	53	4	no	—
1943	#121	—	53	2	no	—
1944	#121	—	53	2	no	—
1945	#121	—	53	2	no	—
1946	#121	—	53	2	no	—
1947	#121	—	53	1	no	—
1948	#121	—	53	1	no	—
1949	#121	—	53	4	no	—
1950	#121	—	53	2	no	—
1951	#121	—	53	2	no	—
1952	#121	—	53	4	no	—
1953	#121	—	53	4	no	—
1954	#121	—	53	4	no	—
1955	#121	—	53	4	no	—
1956	#121	—	53	4	no	—
1957	#121	—	53	4	no	—
1958	#121	—	53	2	no	—
1959	#121	—	53	2	no	—
1960	#121	—	53	4	no	—
1961	#121	—	53	4	no	—
1962	#121	—	53	4	no	—
1963	#121	—	53	4	no	—
1964	#121	—	53	4	no	—
1965	#121	—	53	4	no	—
1966	#121	—	53	4	no	—
1967	#121	—	53	4	no	—
1968	#121	C₂²×D₅₃	1	2	yes	—
1969	#121	C₂²×D₅₃	1	2	yes	—
1970	#121	C₂²×D₅₃	1	2	yes	—
1971	#121	C₂²×D₅₃	1	2	yes	—
1972	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1973	#121	C₂²×D₅₃	1	1	yes	characteristic, complemented
1974	#121	C₂²×D₅₃	1	4	yes	complemented
1975	#121	C₂²×D₅₃	1	2	yes	complemented
1976	#121	C₂²×D₅₃	1	2	yes	complemented
1977	#121	C₂²×D₅₃	1	4	yes	complemented
1978	#121	C₂²×D₅₃	1	4	yes	complemented
1979	#120	—	53	2	no	—
1980	#120	—	53	4	no	—
1981	#120	—	53	2	no	—
1982	#120	—	53	2	no	—
1983	#120	—	53	2	no	—
1984	#120	—	53	4	no	—
1985	#120	—	53	4	no	—
1986	#120	—	53	4	no	—
1987	#120	—	53	2	no	—
1988	#120	—	53	2	no	—
1989	#120	—	53	2	no	—
1990	#120	—	53	4	no	—
1991	#120	—	53	4	no	—
1992	#120	—	53	4	no	—
1993	#120	C₂²×D₅₃	1	2	yes	—
1994	#120	C₂²×D₅₃	1	4	yes	—
1995	C₄×Q₈	—	53	2	no	—
1996	C₄×Q₈	—	53	4	no	—
1997	C₄×Q₈	—	53	2	no	—
1998	C₄×Q₈	—	53	4	no	—
1999	C₄×Q₈	—	53	2	no	—
2000	C₄×Q₈	C₂²×D₅₃	1	2	yes	complemented
2001	C₄×D₄	—	53	2	no	—
2002	C₄×D₄	—	53	2	no	—
2003	C₄×D₄	—	53	2	no	—
2004	C₄×D₄	—	53	2	no	—
2005	C₄×D₄	—	53	2	no	—
2006	C₄×D₄	—	53	4	no	—
2007	C₄×D₄	—	53	2	no	—
2008	C₄×D₄	—	53	2	no	—
2009	C₄×D₄	—	53	4	no	—
2010	C₄×D₄	—	53	4	no	—
2011	C₄×D₄	—	53	4	no	—
2012	C₄×D₄	—	53	4	no	—
2013	C₄×D₄	—	53	4	no	—
2014	C₄×D₄	—	53	4	no	—
2015	C₄×D₄	—	53	4	no	—
2016	C₄×D₄	—	53	4	no	—
2017	C₄×D₄	—	53	4	no	—
2018	C₄×D₄	—	53	2	no	—
2019	C₄×D₄	—	53	2	no	—
2020	C₄×D₄	—	53	2	no	—
2021	C₄×D₄	—	53	2	no	—
2022	C₄×D₄	—	53	4	no	—
2023	C₄×D₄	—	53	4	no	—
2024	C₄×D₄	—	53	4	no	—
2025	C₄×D₄	—	53	4	no	—
2026	C₄×D₄	—	53	2	no	—
2027	C₄×D₄	—	53	2	no	—
2028	C₄×D₄	—	53	2	no	—
2029	C₄×D₄	—	53	2	no	—
2030	C₄×D₄	—	53	2	no	—
2031	C₄×D₄	—	53	4	no	—
2032	C₄×D₄	—	53	2	no	—
2033	C₄×D₄	—	53	2	no	—
2034	C₄×D₄	—	53	4	no	—
2035	C₄×D₄	—	53	4	no	—
2036	C₄×D₄	—	53	4	no	—
2037	C₄×D₄	—	53	4	no	—
2038	C₄×D₄	—	53	4	no	—
2039	C₄×D₄	—	53	4	no	—
2040	C₄×D₄	—	53	4	no	—
2041	C₄×D₄	—	53	4	no	—
2042	C₄×D₄	—	53	4	no	—
2043	C₄×D₄	—	53	2	no	—
2044	C₄×D₄	—	53	2	no	—
2045	C₄×D₄	—	53	2	no	—
2046	C₄×D₄	—	53	2	no	—
2047	C₄×D₄	—	53	4	no	—
2048	C₄×D₄	—	53	4	no	—
2049	C₄×D₄	—	53	4	no	—
2050	C₄×D₄	—	53	4	no	—
2051	C₄×D₄	—	53	2	no	—
2052	C₄×D₄	—	53	2	no	—
2053	C₄×D₄	—	53	2	no	—
2054	C₄×D₄	—	53	2	no	—
2055	C₄×D₄	—	53	2	no	—
2056	C₄×D₄	—	53	4	no	—
2057	C₄×D₄	—	53	2	no	—
2058	C₄×D₄	—	53	2	no	—
2059	C₄×D₄	—	53	4	no	—
2060	C₄×D₄	—	53	4	no	—
2061	C₄×D₄	C₂²×D₅₃	1	4	yes	—
2062	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2063	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2064	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2065	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2066	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2067	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2068	C₄×D₄	C₂²×D₅₃	1	2	yes	complemented
2069	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2070	C₄×D₄	C₂²×D₅₃	1	4	yes	complemented
2071	#117	—	53	1	no	—
2072	#117	—	53	1	no	—
2073	#117	—	53	2	no	—
2074	#117	—	53	2	no	—
2075	#117	—	53	1	no	—
2076	#117	—	53	1	no	—
2077	#117	—	53	1	no	—
2078	#117	—	53	2	no	—
2079	#117	—	53	4	no	—
2080	#117	—	53	1	no	—
2081	#117	—	53	1	no	—
2082	#117	—	53	1	no	—
2083	#117	—	53	1	no	—
2084	#117	—	53	2	no	—
2085	#117	—	53	2	no	—
2086	#117	—	53	2	no	—
2087	#117	—	53	2	no	—
2088	#117	—	53	1	no	—
2089	#117	—	53	1	no	—
2090	#117	—	53	1	no	—
2091	#117	—	53	1	no	—
2092	#117	—	53	1	no	—
2093	#117	—	53	1	no	—
2094	#117	—	53	2	no	—
2095	#117	—	53	2	no	—
2096	#117	—	53	4	no	—
2097	#117	—	53	4	no	—
2098	#117	—	53	2	no	—
2099	#117	—	53	2	no	—
2100	#117	—	53	2	no	—
2101	#117	—	53	2	no	—
2102	#117	—	53	2	no	—
2103	#117	—	53	2	no	—
2104	#117	—	53	2	no	—
2105	#117	—	53	2	no	—
2106	#117	—	53	2	no	—
2107	#117	—	53	4	no	—
2108	#117	—	53	4	no	—
2109	#117	—	53	4	no	—
2110	#117	—	53	2	no	—
2111	#117	—	53	2	no	—
2112	#117	—	53	2	no	—
2113	#117	—	53	2	no	—
2114	#117	—	53	2	no	—
2115	#117	—	53	2	no	—
2116	#117	—	53	2	no	—
2117	#117	—	53	2	no	—
2118	#117	—	53	2	no	—
2119	#117	—	53	4	no	—
2120	#117	—	53	4	no	—
2121	#117	—	53	4	no	—
2122	#117	C₂²×D₅₃	1	1	yes	characteristic
2123	#117	C₂²×D₅₃	1	1	yes	characteristic
2124	#117	C₂²×D₅₃	1	2	yes	—
2125	#117	C₂²×D₅₃	1	1	yes	characteristic
2126	#117	C₂²×D₅₃	1	2	yes	complemented
2127	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2128	#117	C₂²×D₅₃	1	1	yes	characteristic, complemented
2129	#117	C₂²×D₅₃	1	2	yes	complemented
2130	#117	C₂²×D₅₃	1	4	yes	complemented
2131	C₂×C₄⋊C₄	—	53	2	no	—
2132	C₂×C₄⋊C₄	—	53	1	no	—
2133	C₂×C₄⋊C₄	—	53	2	no	—
2134	C₂×C₄⋊C₄	—	53	1	no	—
2135	C₂×C₄⋊C₄	—	53	2	no	—
2136	C₂×C₄⋊C₄	—	53	1	no	—
2137	C₂×C₄⋊C₄	—	53	4	no	—
2138	C₂×C₄⋊C₄	—	53	2	no	—
2139	C₂×C₄⋊C₄	—	53	1	no	—
2140	C₂×C₄⋊C₄	—	53	2	no	—
2141	C₂×C₄⋊C₄	—	53	1	no	—
2142	C₂×C₄⋊C₄	—	53	1	no	—
2143	C₂×C₄⋊C₄	—	53	1	no	—
2144	C₂×C₄⋊C₄	—	53	2	no	—
2145	C₂×C₄⋊C₄	—	53	2	no	—
2146	C₂×C₄⋊C₄	—	53	2	no	—
2147	C₂×C₄⋊C₄	—	53	1	no	—
2148	C₂×C₄⋊C₄	—	53	1	no	—
2149	C₂×C₄⋊C₄	—	53	2	no	—
2150	C₂×C₄⋊C₄	—	53	1	no	—
2151	C₂×C₄⋊C₄	—	53	1	no	—
2152	C₂×C₄⋊C₄	—	53	2	no	—
2153	C₂×C₄⋊C₄	—	53	4	no	—
2154	C₂×C₄⋊C₄	—	53	2	no	—
2155	C₂×C₄⋊C₄	—	53	2	no	—
2156	C₂×C₄⋊C₄	—	53	4	no	—
2157	C₂×C₄⋊C₄	—	53	2	no	—
2158	C₂×C₄⋊C₄	—	53	2	no	—
2159	C₂×C₄⋊C₄	—	53	2	no	—
2160	C₂×C₄⋊C₄	—	53	1	no	—
2161	C₂×C₄⋊C₄	—	53	1	no	—
2162	C₂×C₄⋊C₄	—	53	4	no	—
2163	C₂×C₄⋊C₄	—	53	4	no	—
2164	C₂×C₄⋊C₄	—	53	4	no	—
2165	C₂×C₄⋊C₄	—	53	2	no	—
2166	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic
2167	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2168	C₂×C₄⋊C₄	C₂²×D₅₃	1	1	yes	characteristic, complemented
2169	C₂×C₄⋊C₄	C₂²×D₅₃	1	2	yes	complemented
2170	C₂×C₂²⋊C₄	—	53	2	no	—
2171	C₂×C₂²⋊C₄	—	53	4	no	—
2172	C₂×C₂²⋊C₄	—	53	2	no	—
2173	C₂×C₂²⋊C₄	—	53	2	no	—
2174	C₂×C₂²⋊C₄	—	53	2	no	—
2175	C₂×C₂²⋊C₄	—	53	4	no	—
2176	C₂×C₂²⋊C₄	—	53	4	no	—
2177	C₂×C₂²⋊C₄	—	53	2	no	—
2178	C₂×C₂²⋊C₄	—	53	2	no	—
2179	C₂×C₂²⋊C₄	—	53	2	no	—
2180	C₂×C₂²⋊C₄	—	53	2	no	—
2181	C₂×C₂²⋊C₄	—	53	2	no	—
2182	C₂×C₂²⋊C₄	—	53	2	no	—
2183	C₂×C₂²⋊C₄	—	53	2	no	—
2184	C₂×C₂²⋊C₄	—	53	2	no	—
2185	C₂×C₂²⋊C₄	—	53	2	no	—
2186	C₂×C₂²⋊C₄	—	53	2	no	—
2187	C₂×C₂²⋊C₄	—	53	2	no	—
2188	C₂×C₂²⋊C₄	—	53	4	no	—
2189	C₂×C₂²⋊C₄	—	53	4	no	—
2190	C₂×C₂²⋊C₄	—	53	4	no	—
2191	C₂×C₂²⋊C₄	—	53	4	no	—
2192	C₂×C₂²⋊C₄	—	53	4	no	—
2193	C₂×C₂²⋊C₄	—	53	4	no	—
2194	C₂×C₂²⋊C₄	—	53	4	no	—
2195	C₂×C₂²⋊C₄	—	53	4	no	—
2196	C₂×C₂²⋊C₄	—	53	4	no	—
2197	C₂×C₂²⋊C₄	—	53	4	no	—
2198	C₂×C₂²⋊C₄	—	53	4	no	—
2199	C₂×C₂²⋊C₄	—	53	4	no	—
2200	C₂×C₂²⋊C₄	—	53	2	no	—
2201	C₂×C₂²⋊C₄	—	53	2	no	—
2202	C₂×C₂²⋊C₄	—	53	4	no	—
2203	C₂×C₂²⋊C₄	—	53	2	no	—
2204	C₂×C₂²⋊C₄	—	53	2	no	—
2205	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2206	C₂×C₂²⋊C₄	C₂²×D₅₃	1	4	yes	—
2207	C₂×C₂²⋊C₄	C₂²×D₅₃	1	2	yes	—
2208	C₂×C₄²	—	53	2	no	—
2209	C₂×C₄²	—	53	2	no	—
2210	C₂×C₄²	—	53	2	no	—
2211	C₂×C₄²	—	53	2	no	—
2212	C₂×C₄²	—	53	2	no	—
2213	C₂×C₄²	—	53	4	no	—
2214	C₂×C₄²	—	53	2	no	—
2215	C₂×C₄²	—	53	2	no	—
2216	C₂×C₄²	—	53	2	no	—
2217	C₂×C₄²	—	53	2	no	—
2218	C₂×C₄²	—	53	2	no	—
2219	C₂×C₄²	—	53	2	no	—
2220	C₂×C₄²	—	53	2	no	—
2221	C₂×C₄²	C₂²×D₅₃	1	2	yes	complemented
2222	C₂⁴	—	53	1	no	—
2223	C₂⁴	—	53	1	no	—
2224	C₂⁴	—	53	1	no	—
2225	C₂⁴	—	53	4	no	—
2226	C₂⁴	—	53	2	no	—
2227	C₂⁴	—	53	1	no	—
2228	C₂⁴	—	53	1	no	—
2229	C₂⁴	—	53	1	no	—
2230	C₂⁴	—	53	4	no	—
2231	C₂⁴	—	53	2	no	—
2232	C₂⁴	—	106	8	no	—
2233	C₂⁴	—	106	4	no	—
2234	C₂⁴	—	106	4	no	—
2235	C₂⁴	—	212	4	no	—
2236	C₂⁴	—	212	4	no	—
2237	C₂⁴	—	212	2	no	—
2238	C₂⁴	C₂³×D₅₃	1	1	yes	characteristic
2239	C₂⁴	C₂³×D₅₃	1	2	yes	—
2240	#41	—	2	4	no	—
2241	#41	—	4	8	no	—
2242	#41	—	106	8	no	—
2243	#41	—	106	8	no	—
2244	#41	—	106	4	no	—
2245	#41	—	106	4	no	—
2246	#41	—	106	4	no	—
2247	#41	—	212	8	no	—
2248	#41	—	212	8	no	—
2249	#41	—	212	8	no	—
2250	#41	—	212	8	no	—
2251	#41	—	212	8	no	—
2252	#41	—	212	8	no	—
2253	#41	—	212	8	no	—
2254	C₂×Q₈	—	53	2	no	—
2255	C₂×Q₈	—	53	1	no	—
2256	C₂×Q₈	—	53	4	no	—
2257	C₂×Q₈	—	53	4	no	—
2258	C₂×Q₈	—	53	4	no	—
2259	C₂×Q₈	—	106	4	no	—
2260	C₂×Q₈	—	212	8	no	—
2261	C₂×Q₈	C₂³×D₅₃	1	1	yes	characteristic
2262	C₂×Q₈	C₂³×D₅₃	1	4	yes	—
2263	C₂×D₄	—	2	4	no	—
2264	C₂×D₄	—	4	4	no	—
2265	C₂×D₄	—	53	2	no	—
2266	C₂×D₄	—	53	2	no	—
2267	C₂×D₄	—	53	4	no	—
2268	C₂×D₄	—	53	4	no	—
2269	C₂×D₄	—	53	2	no	—
2270	C₂×D₄	—	53	2	no	—
2271	C₂×D₄	—	53	2	no	—
2272	C₂×D₄	—	53	4	no	—
2273	C₂×D₄	—	53	4	no	—
2274	C₂×D₄	—	53	2	no	—
2275	C₂×D₄	—	53	2	no	—
2276	C₂×D₄	—	53	4	no	—
2277	C₂×D₄	—	53	4	no	—
2278	C₂×D₄	—	53	4	no	—
2279	C₂×D₄	—	53	4	no	—
2280	C₂×D₄	—	53	4	no	—
2281	C₂×D₄	—	53	4	no	—
2282	C₂×D₄	—	53	2	no	—
2283	C₂×D₄	—	53	2	no	—
2284	C₂×D₄	—	53	2	no	—
2285	C₂×D₄	—	53	1	no	—
2286	C₂×D₄	—	53	2	no	—
2287	C₂×D₄	—	53	4	no	—
2288	C₂×D₄	—	53	2	no	—
2289	C₂×D₄	—	53	4	no	—
2290	C₂×D₄	—	53	4	no	—
2291	C₂×D₄	—	53	4	no	—
2292	C₂×D₄	—	106	8	no	—
2293	C₂×D₄	—	106	8	no	—
2294	C₂×D₄	—	106	8	no	—
2295	C₂×D₄	—	106	8	no	—
2296	C₂×D₄	—	106	4	no	—
2297	C₂×D₄	—	106	8	no	—
2298	C₂×D₄	—	106	16	no	—
2299	C₂×D₄	—	106	8	no	—
2300	C₂×D₄	—	106	8	no	—
2301	C₂×D₄	—	106	4	no	—
2302	C₂×D₄	—	212	4	no	—
2303	C₂×D₄	—	212	4	no	—
2304	C₂×D₄	—	212	8	no	—
2305	C₂×D₄	—	212	8	no	—
2306	C₂×D₄	—	212	8	no	—
2307	C₂×D₄	—	212	8	no	—
2308	C₂×D₄	—	212	8	no	—
2309	C₂×D₄	—	212	4	no	—
2310	C₂×D₄	—	212	4	no	—
2311	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2312	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2313	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2314	C₂×D₄	C₂³×D₅₃	1	1	yes	characteristic
2315	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2316	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2317	C₂×D₄	C₂³×D₅₃	1	2	yes	—
2318	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2319	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2320	C₂×D₄	C₂³×D₅₃	1	4	yes	—
2321	C₂²×C₄	—	2	4	no	—
2322	C₂²×C₄	—	53	1	no	—
2323	C₂²×C₄	—	53	8	no	—
2324	C₂²×C₄	—	53	1	no	—
2325	C₂²×C₄	—	53	1	no	—
2326	C₂²×C₄	—	53	1	no	—
2327	C₂²×C₄	—	53	1	no	—
2328	C₂²×C₄	—	53	1	no	—
2329	C₂²×C₄	—	53	2	no	—
2330	C₂²×C₄	—	53	1	no	—
2331	C₂²×C₄	—	53	1	no	—
2332	C₂²×C₄	—	53	2	no	—
2333	C₂²×C₄	—	53	1	no	—
2334	C₂²×C₄	—	53	1	no	—
2335	C₂²×C₄	—	53	2	no	—
2336	C₂²×C₄	—	53	2	no	—
2337	C₂²×C₄	—	53	4	no	—
2338	C₂²×C₄	—	53	4	no	—
2339	C₂²×C₄	—	53	4	no	—
2340	C₂²×C₄	—	53	1	no	—
2341	C₂²×C₄	—	53	2	no	—
2342	C₂²×C₄	—	53	1	no	—
2343	C₂²×C₄	—	53	1	no	—
2344	C₂²×C₄	—	53	2	no	—
2345	C₂²×C₄	—	53	2	no	—
2346	C₂²×C₄	—	53	2	no	—
2347	C₂²×C₄	—	53	2	no	—
2348	C₂²×C₄	—	53	2	no	—
2349	C₂²×C₄	—	53	2	no	—
2350	C₂²×C₄	—	53	2	no	—
2351	C₂²×C₄	—	53	2	no	—
2352	C₂²×C₄	—	53	4	no	—
2353	C₂²×C₄	—	53	1	no	—
2354	C₂²×C₄	—	53	1	no	—
2355	C₂²×C₄	—	53	1	no	—
2356	C₂²×C₄	—	53	1	no	—
2357	C₂²×C₄	—	53	1	no	—
2358	C₂²×C₄	—	53	2	no	—
2359	C₂²×C₄	—	53	2	no	—
2360	C₂²×C₄	—	53	1	no	—
2361	C₂²×C₄	—	53	1	no	—
2362	C₂²×C₄	—	53	1	no	—
2363	C₂²×C₄	—	53	1	no	—
2364	C₂²×C₄	—	53	2	no	—
2365	C₂²×C₄	—	53	2	no	—
2366	C₂²×C₄	—	53	4	no	—
2367	C₂²×C₄	—	53	4	no	—
2368	C₂²×C₄	—	53	4	no	—
2369	C₂²×C₄	—	53	4	no	—
2370	C₂²×C₄	—	53	4	no	—
2371	C₂²×C₄	—	53	4	no	—
2372	C₂²×C₄	—	53	4	no	—
2373	C₂²×C₄	—	106	4	no	—
2374	C₂²×C₄	—	106	4	no	—
2375	C₂²×C₄	—	106	4	no	—
2376	C₂²×C₄	—	106	4	no	—
2377	C₂²×C₄	—	106	4	no	—
2378	C₂²×C₄	—	106	4	no	—
2379	C₂²×C₄	—	106	4	no	—
2380	C₂²×C₄	—	106	4	no	—
2381	C₂²×C₄	—	106	4	no	—
2382	C₂²×C₄	—	106	8	no	—
2383	C₂²×C₄	—	106	4	no	—
2384	C₂²×C₄	—	106	8	no	—
2385	C₂²×C₄	—	106	4	no	—
2386	C₂²×C₄	—	106	4	no	—
2387	C₂²×C₄	—	212	8	no	—
2388	C₂²×C₄	—	212	4	no	—
2389	C₂²×C₄	—	212	4	no	—
2390	C₂²×C₄	—	212	8	no	—
2391	C₂²×C₄	—	212	8	no	—
2392	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2393	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2394	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2395	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2396	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2397	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2398	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2399	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2400	C₂²×C₄	C₂³×D₅₃	1	2	yes	—
2401	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2402	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2403	C₂²×C₄	C₂³×D₅₃	1	4	yes	—
2404	C₂²×C₄	C₂³×D₅₃	1	1	yes	characteristic
2405	C₄⋊C₄	—	53	2	no	—
2406	C₄⋊C₄	—	53	1	no	—
2407	C₄⋊C₄	—	53	4	no	—
2408	C₄⋊C₄	—	53	2	no	—
2409	C₄⋊C₄	—	53	2	no	—
2410	C₄⋊C₄	—	53	1	no	—
2411	C₄⋊C₄	—	53	2	no	—
2412	C₄⋊C₄	—	53	1	no	—
2413	C₄⋊C₄	—	53	2	no	—
2414	C₄⋊C₄	—	53	1	no	—
2415	C₄⋊C₄	—	53	2	no	—
2416	C₄⋊C₄	—	53	2	no	—
2417	C₄⋊C₄	—	53	2	no	—
2418	C₄⋊C₄	—	53	2	no	—
2419	C₄⋊C₄	—	53	2	no	—
2420	C₄⋊C₄	—	53	2	no	—
2421	C₄⋊C₄	—	53	4	no	—
2422	C₄⋊C₄	—	53	2	no	—
2423	C₄⋊C₄	—	53	4	no	—
2424	C₄⋊C₄	—	53	4	no	—
2425	C₄⋊C₄	—	53	4	no	—
2426	C₄⋊C₄	—	53	2	no	—
2427	C₄⋊C₄	—	53	2	no	—
2428	C₄⋊C₄	—	53	2	no	—
2429	C₄⋊C₄	—	53	2	no	—
2430	C₄⋊C₄	—	53	1	no	—
2431	C₄⋊C₄	—	53	2	no	—
2432	C₄⋊C₄	—	53	1	no	—
2433	C₄⋊C₄	—	53	4	no	—
2434	C₄⋊C₄	—	53	4	no	—
2435	C₄⋊C₄	—	53	4	no	—
2436	C₄⋊C₄	—	53	4	no	—
2437	C₄⋊C₄	—	53	4	no	—
2438	C₄⋊C₄	—	53	4	no	—
2439	C₄⋊C₄	—	53	4	no	—
2440	C₄⋊C₄	—	53	4	no	—
2441	C₄⋊C₄	—	53	4	no	—
2442	C₄⋊C₄	—	53	2	no	—
2443	C₄⋊C₄	—	53	2	no	—
2444	C₄⋊C₄	—	53	2	no	—
2445	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2446	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2447	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2448	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2449	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2450	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2451	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2452	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2453	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2454	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2455	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2456	C₄⋊C₄	C₂³×D₅₃	1	1	yes	characteristic
2457	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2458	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2459	C₄⋊C₄	C₂³×D₅₃	1	4	yes	—
2460	C₄⋊C₄	C₂³×D₅₃	1	2	yes	—
2461	C₂²⋊C₄	—	53	2	no	—
2462	C₂²⋊C₄	—	53	2	no	—
2463	C₂²⋊C₄	—	53	2	no	—
2464	C₂²⋊C₄	—	53	2	no	—
2465	C₂²⋊C₄	—	53	2	no	—
2466	C₂²⋊C₄	—	53	4	no	—
2467	C₂²⋊C₄	—	53	4	no	—
2468	C₂²⋊C₄	—	53	4	no	—
2469	C₂²⋊C₄	—	53	4	no	—
2470	C₂²⋊C₄	—	53	4	no	—
2471	C₂²⋊C₄	—	53	4	no	—
2472	C₂²⋊C₄	—	53	2	no	—
2473	C₂²⋊C₄	—	53	2	no	—
2474	C₂²⋊C₄	—	53	4	no	—
2475	C₂²⋊C₄	—	53	2	no	—
2476	C₂²⋊C₄	—	53	2	no	—
2477	C₂²⋊C₄	—	53	2	no	—
2478	C₂²⋊C₄	—	53	2	no	—
2479	C₂²⋊C₄	—	53	2	no	—
2480	C₂²⋊C₄	—	53	2	no	—
2481	C₂²⋊C₄	—	53	2	no	—
2482	C₂²⋊C₄	—	53	2	no	—
2483	C₂²⋊C₄	—	53	2	no	—
2484	C₂²⋊C₄	—	53	2	no	—
2485	C₂²⋊C₄	—	53	2	no	—
2486	C₂²⋊C₄	—	53	2	no	—
2487	C₂²⋊C₄	—	53	4	no	—
2488	C₂²⋊C₄	—	53	4	no	—
2489	C₂²⋊C₄	—	53	4	no	—
2490	C₂²⋊C₄	—	53	4	no	—
2491	C₂²⋊C₄	—	53	4	no	—
2492	C₂²⋊C₄	—	53	4	no	—
2493	C₂²⋊C₄	—	53	4	no	—
2494	C₂²⋊C₄	—	53	4	no	—
2495	C₂²⋊C₄	—	53	4	no	—
2496	C₂²⋊C₄	—	53	4	no	—
2497	C₂²⋊C₄	—	53	4	no	—
2498	C₂²⋊C₄	—	53	4	no	—
2499	C₂²⋊C₄	—	53	2	no	—
2500	C₂²⋊C₄	—	53	2	no	—
2501	C₂²⋊C₄	—	53	2	no	—
2502	C₂²⋊C₄	—	53	2	no	—
2503	C₂²⋊C₄	—	53	4	no	—
2504	C₂²⋊C₄	—	53	4	no	—
2505	C₂²⋊C₄	—	53	2	no	—
2506	C₂²⋊C₄	—	53	2	no	—
2507	C₂²⋊C₄	—	53	2	no	—
2508	C₂²⋊C₄	—	53	2	no	—
2509	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2510	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2511	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2512	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2513	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2514	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2515	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2516	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2517	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2518	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2519	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2520	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2521	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2522	C₂²⋊C₄	C₂³×D₅₃	1	4	yes	—
2523	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2524	C₂²⋊C₄	C₂³×D₅₃	1	2	yes	—
2525	C₄²	—	53	2	no	—
2526	C₄²	—	53	2	no	—
2527	C₄²	—	53	2	no	—
2528	C₄²	—	53	2	no	—
2529	C₄²	—	53	2	no	—
2530	C₄²	—	53	2	no	—
2531	C₄²	—	53	2	no	—
2532	C₄²	—	53	2	no	—
2533	C₄²	—	53	2	no	—
2534	C₄²	—	53	2	no	—
2535	C₄²	—	53	2	no	—
2536	C₄²	—	53	2	no	—
2537	C₄²	—	53	4	no	—
2538	C₄²	—	53	4	no	—
2539	C₄²	—	53	4	no	—
2540	C₄²	—	53	2	no	—
2541	C₄²	—	53	2	no	—
2542	C₄²	—	53	2	no	—
2543	C₄²	C₂³×D₅₃	1	2	yes	—
2544	C₄²	C₂³×D₅₃	1	2	yes	—
2545	C₄²	C₂³×D₅₃	1	2	yes	—
2546	C₄²	C₂³×D₅₃	1	2	yes	—
2547	C₄²	C₂³×D₅₃	1	4	yes	—
2548	C₄²	C₂³×D₅₃	1	2	yes	—
2549	C₂³	—	2	2	no	—
2550	C₂³	—	2	2	no	—
2551	C₂³	—	2	4	no	—
2552	C₂³	—	4	1	no	—
2553	C₂³	—	4	2	no	—
2554	C₂³	—	4	2	no	—
2555	C₂³	—	53	1	no	—
2556	C₂³	—	53	4	no	—
2557	C₂³	—	53	4	no	—
2558	C₂³	—	53	1	no	—
2559	C₂³	—	53	1	no	—
2560	C₂³	—	53	1	no	—
2561	C₂³	—	53	4	no	—
2562	C₂³	—	53	2	no	—
2563	C₂³	—	106	2	no	—
2564	C₂³	—	106	2	no	—
2565	C₂³	—	106	2	no	—
2566	C₂³	—	106	2	no	—
2567	C₂³	—	106	8	no	—
2568	C₂³	—	106	2	no	—
2569	C₂³	—	106	2	no	—
2570	C₂³	—	106	2	no	—
2571	C₂³	—	106	4	no	—
2572	C₂³	—	106	4	no	—
2573	C₂³	—	106	8	no	—
2574	C₂³	—	106	8	no	—
2575	C₂³	—	106	8	no	—
2576	C₂³	—	106	2	no	—
2577	C₂³	—	106	2	no	—
2578	C₂³	—	106	2	no	—
2579	C₂³	—	106	4	no	—
2580	C₂³	—	106	2	no	—
2581	C₂³	—	106	4	no	—
2582	C₂³	—	106	2	no	—
2583	C₂³	—	106	2	no	—
2584	C₂³	—	424	16	no	—
2585	C₂³	—	212	2	no	—
2586	C₂³	—	212	4	no	—
2587	C₂³	—	212	2	no	—
2588	C₂³	—	212	4	no	—
2589	C₂³	—	212	1	no	—
2590	C₂³	—	212	1	no	—
2591	C₂³	—	212	1	no	—
2592	C₂³	—	212	16	no	—
2593	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2594	C₂³	C₂⁴×D₅₃	1	4	yes	—
2595	C₂³	C₂⁴×D₅₃	1	2	yes	—
2596	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2597	C₂³	C₂⁴×D₅₃	1	1	yes	characteristic
2598	Q₈	—	2	2	no	—
2599	Q₈	—	4	4	no	—
2600	Q₈	—	106	4	no	—
2601	Q₈	—	106	2	no	—
2602	Q₈	—	212	4	no	—
2603	Q₈	—	212	4	no	—
2604	Q₈	—	212	4	no	—
2605	D₄	—	2	4	no	—
2606	D₄	—	2	8	no	—
2607	D₄	—	2	4	no	—
2608	D₄	—	2	4	no	—
2609	D₄	—	2	4	no	—
2610	D₄	—	2	2	no	—
2611	D₄	—	4	4	no	—
2612	D₄	—	4	2	no	—
2613	D₄	—	4	4	no	—
2614	D₄	—	4	4	no	—
2615	D₄	—	106	8	no	—
2616	D₄	—	106	4	no	—
2617	D₄	—	106	4	no	—
2618	D₄	—	106	8	no	—
2619	D₄	—	106	8	no	—
2620	D₄	—	106	4	no	—
2621	D₄	—	106	8	no	—
2622	D₄	—	106	4	no	—
2623	D₄	—	106	4	no	—
2624	D₄	—	106	4	no	—
2625	D₄	—	106	8	no	—
2626	D₄	—	106	4	no	—
2627	D₄	—	106	4	no	—
2628	D₄	—	106	4	no	—
2629	D₄	—	106	2	no	—
2630	D₄	—	212	2	no	—
2631	D₄	—	212	4	no	—
2632	D₄	—	212	4	no	—
2633	D₄	—	212	4	no	—
2634	D₄	—	212	2	no	—
2635	D₄	—	212	2	no	—
2636	D₄	—	212	4	no	—
2637	D₄	—	212	4	no	—
2638	D₄	—	212	4	no	—
2639	D₄	—	212	4	no	—
2640	D₄	—	212	4	no	—
2641	D₄	—	212	4	no	—
2642	C₂×C₄	—	2	2	no	—
2643	C₂×C₄	—	2	4	no	—
2644	C₂×C₄	—	2	2	no	—
2645	C₂×C₄	—	2	2	no	—
2646	C₂×C₄	—	2	2	no	—
2647	C₂×C₄	—	2	2	no	—
2648	C₂×C₄	—	2	4	no	—
2649	C₂×C₄	—	4	4	no	—
2650	C₂×C₄	—	4	2	no	—
2651	C₂×C₄	—	4	2	no	—
2652	C₂×C₄	—	4	4	no	—
2653	C₂×C₄	—	4	4	no	—
2654	C₂×C₄	—	53	4	no	—
2655	C₂×C₄	—	53	1	no	—
2656	C₂×C₄	—	53	1	no	—
2657	C₂×C₄	—	53	4	no	—
2658	C₂×C₄	—	53	4	no	—
2659	C₂×C₄	—	53	4	no	—
2660	C₂×C₄	—	53	4	no	—
2661	C₂×C₄	—	53	1	no	—
2662	C₂×C₄	—	53	2	no	—
2663	C₂×C₄	—	53	2	no	—
2664	C₂×C₄	—	53	2	no	—
2665	C₂×C₄	—	53	2	no	—
2666	C₂×C₄	—	53	2	no	—
2667	C₂×C₄	—	53	2	no	—
2668	C₂×C₄	—	53	2	no	—
2669	C₂×C₄	—	53	4	no	—
2670	C₂×C₄	—	53	1	no	—
2671	C₂×C₄	—	106	2	no	—
2672	C₂×C₄	—	106	2	no	—
2673	C₂×C₄	—	106	2	no	—
2674	C₂×C₄	—	106	2	no	—
2675	C₂×C₄	—	106	4	no	—
2676	C₂×C₄	—	106	2	no	—
2677	C₂×C₄	—	106	2	no	—
2678	C₂×C₄	—	106	2	no	—
2679	C₂×C₄	—	106	2	no	—
2680	C₂×C₄	—	106	4	no	—
2681	C₂×C₄	—	106	4	no	—
2682	C₂×C₄	—	106	4	no	—
2683	C₂×C₄	—	106	4	no	—
2684	C₂×C₄	—	106	4	no	—
2685	C₂×C₄	—	106	4	no	—
2686	C₂×C₄	—	106	8	no	—
2687	C₂×C₄	—	106	4	no	—
2688	C₂×C₄	—	106	4	no	—
2689	C₂×C₄	—	106	4	no	—
2690	C₂×C₄	—	106	2	no	—
2691	C₂×C₄	—	106	2	no	—
2692	C₂×C₄	—	106	2	no	—
2693	C₂×C₄	—	106	2	no	—
2694	C₂×C₄	—	106	4	no	—
2695	C₂×C₄	—	106	2	no	—
2696	C₂×C₄	—	106	4	no	—
2697	C₂×C₄	—	106	2	no	—
2698	C₂×C₄	—	106	2	no	—
2699	C₂×C₄	—	106	2	no	—
2700	C₂×C₄	—	106	2	no	—
2701	C₂×C₄	—	106	4	no	—
2702	C₂×C₄	—	212	4	no	—
2703	C₂×C₄	—	212	2	no	—
2704	C₂×C₄	—	212	4	no	—
2705	C₂×C₄	—	212	2	no	—
2706	C₂×C₄	—	212	4	no	—
2707	C₂×C₄	—	212	4	no	—
2708	C₂×C₄	—	212	4	no	—
2709	C₂×C₄	—	212	4	no	—
2710	C₂×C₄	—	212	4	no	—
2711	C₂×C₄	—	212	4	no	—
2712	C₂×C₄	—	212	2	no	—
2713	C₂×C₄	—	212	2	no	—
2714	C₂×C₄	—	212	4	no	—
2715	C₂×C₄	—	212	4	no	—
2716	C₂×C₄	#41×D₅₃	1	4	yes	complemented
2717	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2718	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2719	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2720	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2721	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2722	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2723	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2724	C₂×C₄	C₂⁴×D₅₃	1	2	yes	—
2725	C₂×C₄	C₂⁴×D₅₃	1	4	yes	—
2726	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2727	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2728	C₂×C₄	C₂⁴×D₅₃	1	1	yes	characteristic
2729	C₂²	—	2	1	no	—
2730	C₂²	—	2	1	no	—
2731	C₂²	—	2	1	no	—
2732	C₂²	—	2	1	no	—
2733	C₂²	—	2	1	no	—
2734	C₂²	—	2	2	no	—
2735	C₂²	—	2	4	no	—
2736	C₂²	—	2	2	no	—
2737	C₂²	—	2	4	no	—
2738	C₂²	—	2	1	no	—
2739	C₂²	—	2	4	no	—
2740	C₂²	—	2	2	no	—
2741	C₂²	—	2	1	no	—
2742	C₂²	—	4	4	no	—
2743	C₂²	—	8	4	no	—
2744	C₂²	—	53	2	no	—
2745	C₂²	—	53	2	no	—
2746	C₂²	—	53	2	no	—
2747	C₂²	—	53	2	no	—
2748	C₂²	—	53	2	no	—
2749	C₂²	—	106	8	no	—
2750	C₂²	—	106	8	no	—
2751	C₂²	—	106	1	no	—
2752	C₂²	—	106	1	no	—
2753	C₂²	—	106	1	no	—
2754	C₂²	—	106	1	no	—
2755	C₂²	—	106	1	no	—
2756	C₂²	—	106	2	no	—
2757	C₂²	—	106	4	no	—
2758	C₂²	—	106	2	no	—
2759	C₂²	—	106	4	no	—
2760	C₂²	—	106	1	no	—
2761	C₂²	—	106	4	no	—
2762	C₂²	—	106	2	no	—
2763	C₂²	—	106	1	no	—
2764	C₂²	—	424	4	no	—
2765	C₂²	—	424	8	no	—
2766	C₂²	—	212	4	no	—
2767	C₂²	—	212	4	no	—
2768	C₂²	—	212	16	no	—
2769	C₂²	—	212	4	no	—
2770	C₂²	—	212	8	no	—
2771	C₂²	—	212	4	no	—
2772	C₂²	C₂×#41×D₅₃	1	2	yes	—
2773	C₂²	H(5,𝔽₂)×D₅₃	1	2	yes	—
2774	C₂²	C₂⁵×D₅₃	1	1	yes	characteristic
2775	C₄	—	2	1	no	—
2776	C₄	—	2	1	no	—
2777	C₄	—	2	2	no	—
2778	C₄	—	2	2	no	—
2779	C₄	—	2	2	no	—
2780	C₄	—	2	4	no	—
2781	C₄	—	2	2	no	—
2782	C₄	—	2	2	no	—
2783	C₄	—	2	2	no	—
2784	C₄	—	2	2	no	—
2785	C₄	—	53	2	no	—
2786	C₄	—	53	2	no	—
2787	C₄	—	106	1	no	—
2788	C₄	—	106	1	no	—
2789	C₄	—	106	2	no	—
2790	C₄	—	106	2	no	—
2791	C₄	—	106	2	no	—
2792	C₄	—	106	4	no	—
2793	C₄	—	106	2	no	—
2794	C₄	—	106	2	no	—
2795	C₄	—	106	2	no	—
2796	C₄	—	106	2	no	—
2797	C₄	C₂×#41×D₅₃	1	2	yes	—
2798	C₄	C₂×#41×D₅₃	1	2	yes	—
2799	C₂	—	2	2	no	—
2800	C₂	—	2	2	no	—
2801	C₂	—	4	1	no	—
2802	C₂	—	4	4	no	—
2803	C₂	—	4	2	no	—
2804	C₂	—	53	4	no	—
2805	C₂	—	106	2	no	—
2806	C₂	—	106	2	no	—
2807	C₂	—	212	4	no	—
2808	C₂	—	212	1	no	—
2809	C₂	—	212	2	no	—
2810	C₂	C₂²×#41×D₅₃	1	1	yes	characteristic
2811	C₂	C₂×H(5,𝔽₂)×D₅₃	1	1	yes	characteristic
2812	C₂	#585×D₅₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₅₃
commutator, socle, cosocle	C₂²×C₅₃	C₂⁶
Fitting	C₅₃×#3494	C₂
hypercenter	#3494	D₅₃
hypocenter	C₅₃	C₂×#3494
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #3494

Complements

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

N	H ≅ G/N	type
1. #20288453	C₂	semidirect
2. #20288452	C₂	semidirect
3. #20288451	C₂	semidirect
4. #20288450	C₂	semidirect
5. #20288449	C₂	semidirect
6. #20288448	C₂	semidirect
7. #20288447	C₂	semidirect
8. #20288446	C₂	semidirect
9. #20288445	C₂	semidirect
10. #20288444	C₂	semidirect
11. #20288443	C₂	semidirect
12. #20288442	C₂	semidirect
13. #20288441	C₂	semidirect
14. #20288440	C₂	semidirect
15. #20288439	C₂	semidirect
16. #20288438	C₂	semidirect
17. #20288437	C₂	semidirect
18. #555×D₅₃	C₂	semidirect
19. #553×D₅₃	C₂	semidirect
20. #553×D₅₃	C₂	semidirect
21. #551×D₅₃	C₂	semidirect
22. #547×D₅₃	C₂	semidirect
23. #546×D₅₃	C₂	semidirect
24. #544×D₅₃	C₂	semidirect
25. #542×D₅₃	C₂	semidirect
26. #540×D₅₃	C₂	semidirect
27. #535×D₅₃	C₂	semidirect
28. #532×D₅₃	C₂	semidirect
29. #529×D₅₃	C₂	semidirect
30. #525×D₅₃	C₂	semidirect
31. C₂×#121×D₅₃	C₂	semidirect
32. #520×D₅₃	C₂	semidirect
33. #518×D₅₃	C₂	semidirect
34. C₂×#117×D₅₃	C₂	semidirect
35. C₅₃×#3494	C₂	semidirect
37. C₂×#41×D₅₃	C₂²	semidirect
41. #16811339	C₂²	semidirect
42. #16811338	C₂²	semidirect
43. #16811338	C₂²	semidirect
44. #16811337	C₂²	semidirect
45. #16811337	C₂²	semidirect
46. #16811337	C₂²	semidirect
47. #16811336	C₂²	semidirect
48. #16811336	C₂²	semidirect
49. #16811336	C₂²	semidirect
50. #16811335	C₂²	semidirect
51. #16811335	C₂²	semidirect
52. #16811326	C₂²	semidirect
53. #16811326	C₂²	semidirect
54. #16811325	C₂²	semidirect
55. #16811325	C₂²	semidirect
56. #16811324	C₂²	semidirect
57. #16811324	C₂²	semidirect
58. #16811323	C₂²	semidirect
59. #16811323	C₂²	semidirect
60. #16811322	C₂²	semidirect
61. #16811322	C₂²	semidirect
62. #16811321	C₂²	semidirect
63. #16811321	C₂²	semidirect
64. #16811320	C₂²	semidirect
65. #16811320	C₂²	semidirect
66. #16811319	C₂²	semidirect
67. #16811319	C₂²	semidirect
68. #16811318	C₂²	semidirect
69. #16811318	C₂²	semidirect
70. #16811317	C₂²	semidirect
71. #16811317	C₂²	semidirect
72. #16811316	C₂²	semidirect
73. #16811316	C₂²	semidirect
74. #16811304	C₂²	semidirect
75. #16811303	C₂²	semidirect
76. #16811302	C₂²	semidirect
77. #16811302	C₂²	semidirect
78. #16811301	C₂²	semidirect
79. #16811300	C₂²	semidirect
80. #16811300	C₂²	semidirect
81. #16811299	C₂²	semidirect
82. #16811299	C₂²	semidirect
83. #16811298	C₂²	semidirect
84. #16811298	C₂²	semidirect
85. #16811297	C₂²	semidirect
86. #16811297	C₂²	semidirect
87. #16811296	C₂²	semidirect
88. #16811296	C₂²	semidirect
89. #16811278	C₂²	semidirect
90. #16811277	C₂²	semidirect
91. #16811276	C₂²	semidirect
92. #16811275	C₂²	semidirect
93. #16811274	C₂²	semidirect
94. #16811274	C₂²	semidirect
95. #16811273	C₂²	semidirect
96. #16811273	C₂²	semidirect
97. #16811272	C₂²	semidirect
98. #16811271	C₂²	semidirect
99. #16811271	C₂²	semidirect
100. #16811270	C₂²	semidirect
101. #16811269	C₂²	semidirect
102. #16811268	C₂²	semidirect
103. #16811267	C₂²	semidirect
104. #16811266	C₂²	semidirect
105. #16811265	C₂²	semidirect
106. #16811265	C₂²	semidirect
107. #16811264	C₂²	semidirect
108. #16811263	C₂²	semidirect
109. #16811263	C₂²	semidirect
110. #16811262	C₂²	semidirect
111. #16811262	C₂²	semidirect
112. #16811261	C₂²	semidirect
113. #16811260	C₂²	semidirect
114. #16811260	C₂²	semidirect
115. #16811254	C₂²	semidirect
116. #16811253	C₂²	semidirect
117. #16811253	C₂²	semidirect
118. #16811252	C₂²	semidirect
119. #16811251	C₂²	semidirect
120. #16811251	C₂²	semidirect
121. #16811250	C₂²	semidirect
122. #16811250	C₂²	semidirect
123. #16811247	C₂²	semidirect
124. #16811246	C₂²	semidirect
125. #16811245	C₂²	semidirect
126. #16811244	C₂²	semidirect
127. #16811243	C₂²	semidirect
128. #16811242	C₂²	semidirect
129. #16811241	C₂²	semidirect
130. #16811240	C₂²	semidirect
131. #16811239	C₂²	semidirect
132. #16811238	C₂²	semidirect
133. #16811237	C₂²	semidirect
134. #16811229	C₂²	semidirect
135. #16811228	C₂²	semidirect
136. #16811227	C₂²	semidirect
137. #16811226	C₂²	semidirect
138. #16811226	C₂²	semidirect
139. #16811225	C₂²	semidirect
140. #16811225	C₂²	semidirect
141. #16811224	C₂²	semidirect
142. #16811224	C₂²	semidirect
143. #16811223	C₂²	semidirect
144. #16811223	C₂²	semidirect
145. #16811192	C₂²	semidirect
146. #16811191	C₂²	semidirect
147. #16811190	C₂²	semidirect
148. #16811189	C₂²	semidirect
149. #16811189	C₂²	semidirect
150. #16811188	C₂²	semidirect
151. #16811187	C₂²	semidirect
152. #16811186	C₂²	semidirect
153. #16811174	C₂²	semidirect
154. #16811173	C₂²	semidirect
155. #16811172	C₂²	semidirect
156. #16811171	C₂²	semidirect
157. #16811170	C₂²	semidirect
158. #16811170	C₂²	semidirect
159. #16811170	C₂²	semidirect
160. #16811169	C₂²	semidirect
161. #16811168	C₂²	semidirect
162. #16811168	C₂²	semidirect
163. #16811168	C₂²	semidirect
164. C₄⋊Q₈×D₅₃	C₂²	semidirect
165. C₄⋊Q₈×D₅₃	C₂²	semidirect
166. #127×D₅₃	C₂²	semidirect
167. #16811160	C₂²	semidirect
168. #16811159	C₂²	semidirect
169. #16811158	C₂²	semidirect
170. #16811157	C₂²	semidirect
171. #16811156	C₂²	semidirect
172. #16811155	C₂²	semidirect
173. #16811154	C₂²	semidirect
174. #16811153	C₂²	semidirect
175. #16811152	C₂²	semidirect
176. #16811151	C₂²	semidirect
177. #16811150	C₂²	semidirect
178. #126×D₅₃	C₂²	semidirect
179. #126×D₅₃	C₂²	semidirect
180. #125×D₅₃	C₂²	semidirect
181. #125×D₅₃	C₂²	semidirect
182. #124×D₅₃	C₂²	semidirect
183. #124×D₅₃	C₂²	semidirect
184. #124×D₅₃	C₂²	semidirect
185. #16811136	C₂²	semidirect
186. #16811136	C₂²	semidirect
187. #16811135	C₂²	semidirect
188. #16811134	C₂²	semidirect
189. #16811133	C₂²	semidirect
190. #16811133	C₂²	semidirect
191. #16811132	C₂²	semidirect
192. #16811132	C₂²	semidirect
193. #16811131	C₂²	semidirect
194. #16811130	C₂²	semidirect
195. #16811129	C₂²	semidirect
197. #123×D₅₃	C₂²	semidirect
198. #123×D₅₃	C₂²	semidirect
199. #123×D₅₃	C₂²	semidirect
200. #123×D₅₃	C₂²	semidirect
202. C₂²⋊Q₈×D₅₃	C₂²	semidirect
203. C₂²⋊Q₈×D₅₃	C₂²	semidirect
204. C₂²⋊Q₈×D₅₃	C₂²	semidirect
205. C₂×#13133192	C₂²	semidirect
206. C₂×#13133191	C₂²	semidirect
207. C₂×#13133190	C₂²	semidirect
208. C₂×#13133189	C₂²	semidirect
209. C₂×#13133188	C₂²	semidirect
214. #121×D₅₃	C₂²	semidirect
215. #121×D₅₃	C₂²	semidirect
216. #121×D₅₃	C₂²	semidirect
217. #121×D₅₃	C₂²	semidirect
218. #121×D₅₃	C₂²	semidirect
219. #121×D₅₃	C₂²	semidirect
220. #121×D₅₃	C₂²	semidirect
221. #121×D₅₃	C₂²	semidirect
222. #121×D₅₃	C₂²	semidirect
223. #121×D₅₃	C₂²	semidirect
224. #121×D₅₃	C₂²	semidirect
227. #16811106	C₂²	semidirect
228. #16811105	C₂²	semidirect
229. #16811104	C₂²	semidirect
230. #16811104	C₂²	semidirect
231. #16811103	C₂²	semidirect
232. #16811103	C₂²	semidirect
233. #16811102	C₂²	semidirect
234. #16811102	C₂²	semidirect
235. #16811098	C₂²	semidirect
236. #16811097	C₂²	semidirect
237. #16811097	C₂²	semidirect
238. #16811096	C₂²	semidirect
239. #16811095	C₂²	semidirect
240. #16811095	C₂²	semidirect
241. #16811095	C₂²	semidirect
242. #16811095	C₂²	semidirect
243. C₄×Q₈×D₅₃	C₂²	semidirect
245. C₄×D₄×D₅₃	C₂²	semidirect
246. C₄×D₄×D₅₃	C₂²	semidirect
247. C₄×D₄×D₅₃	C₂²	semidirect
248. C₄×D₄×D₅₃	C₂²	semidirect
249. C₄×D₄×D₅₃	C₂²	semidirect
250. C₄×D₄×D₅₃	C₂²	semidirect
251. C₄×D₄×D₅₃	C₂²	semidirect
252. C₄×D₄×D₅₃	C₂²	semidirect
253. C₄×D₄×D₅₃	C₂²	semidirect
254. C₂×#13133176	C₂²	semidirect
255. C₂×#13133175	C₂²	semidirect
256. C₂×#13133175	C₂²	semidirect
257. C₂×#13133174	C₂²	semidirect
258. C₂×#13133173	C₂²	semidirect
263. #117×D₅₃	C₂²	semidirect
264. #117×D₅₃	C₂²	semidirect
265. #117×D₅₃	C₂²	semidirect
266. #117×D₅₃	C₂²	semidirect
267. #117×D₅₃	C₂²	semidirect
268. #117×D₅₃	C₂²	semidirect
269. #117×D₅₃	C₂²	semidirect
270. #117×D₅₃	C₂²	semidirect
271. #117×D₅₃	C₂²	semidirect
272. #117×D₅₃	C₂²	semidirect
273. #117×D₅₃	C₂²	semidirect
275. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
276. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
277. C₂×C₄⋊C₄×D₅₃	C₂²	semidirect
281. C₂×C₄²×D₅₃	C₂²	semidirect
282. C₅₃×#555	C₂²	semidirect
283. C₅₃×#553	C₂²	semidirect
284. C₅₃×#553	C₂²	semidirect
285. C₅₃×#551	C₂²	semidirect
286. C₅₃×#547	C₂²	semidirect
287. C₅₃×#546	C₂²	semidirect
288. C₅₃×#544	C₂²	semidirect
289. C₅₃×#542	C₂²	semidirect
290. C₅₃×#540	C₂²	semidirect
291. C₅₃×#535	C₂²	semidirect
292. C₅₃×#532	C₂²	semidirect
293. C₅₃×#529	C₂²	semidirect
294. C₅₃×#525	C₂²	semidirect
295. C₂×#121×C₅₃	C₂²	semidirect
296. C₅₃×#520	C₂²	semidirect
297. C₅₃×#518	C₂²	semidirect
298. C₂×#117×C₅₃	C₂²	semidirect
302. C₂×#11719949	C₂³	semidirect
305. C₂×#11719945	C₂³	semidirect
306. C₂×#11719945	C₂³	semidirect
307. C₂×#11719945	C₂³	semidirect
310. C₂×#11719947	C₂³	semidirect
311. C₂×#11719947	C₂³	semidirect
312. C₂×#11719947	C₂³	semidirect
359. #13133217	C₂³	semidirect
360. #13133217	C₂³	semidirect
361. #13133216	C₂³	semidirect
362. #13133216	C₂³	semidirect
363. #13133216	C₂³	semidirect
364. #13133216	C₂³	semidirect
365. #13133216	C₂³	semidirect
366. #13133216	C₂³	semidirect
367. #13133215	C₂³	semidirect
368. #13133215	C₂³	semidirect
369. #13133214	C₂³	semidirect
370. #13133213	C₂³	semidirect
371. #13133213	C₂³	semidirect
372. #13133213	C₂³	semidirect
373. #13133213	C₂³	semidirect
374. #13133212	C₂³	semidirect
375. #13133212	C₂³	semidirect
376. #13133212	C₂³	semidirect
377. #13133212	C₂³	semidirect
378. #13133212	C₂³	semidirect
379. #13133212	C₂³	semidirect
380. #13133211	C₂³	semidirect
381. #13133211	C₂³	semidirect
382. #13133210	C₂³	semidirect
383. #13133210	C₂³	semidirect
384. #13133210	C₂³	semidirect
385. #13133210	C₂³	semidirect
386. #13133210	C₂³	semidirect
387. #13133210	C₂³	semidirect
388. #13133209	C₂³	semidirect
389. #13133209	C₂³	semidirect
390. #13133208	C₂³	semidirect
391. #13133208	C₂³	semidirect
392. #13133208	C₂³	semidirect
393. #13133208	C₂³	semidirect
394. #13133207	C₂³	semidirect
395. #13133207	C₂³	semidirect
396. #13133207	C₂³	semidirect
397. #13133207	C₂³	semidirect
398. #13133206	C₂³	semidirect
399. #13133206	C₂³	semidirect
400. #13133206	C₂³	semidirect
401. #13133205	C₂³	semidirect
402. #13133205	C₂³	semidirect
403. #13133205	C₂³	semidirect
404. #13133204	C₂³	semidirect
405. #13133204	C₂³	semidirect
406. #13133204	C₂³	semidirect
407. #13133203	C₂³	semidirect
408. #13133203	C₂³	semidirect
409. #13133203	C₂³	semidirect
410. #13133203	C₂³	semidirect
411. #13133203	C₂³	semidirect
412. #13133203	C₂³	semidirect
413. #13133203	C₂³	semidirect
414. #13133203	C₂³	semidirect
415. #13133203	C₂³	semidirect
416. #13133203	C₂³	semidirect
419. #13133202	C₂³	semidirect
420. #13133202	C₂³	semidirect
421. #13133202	C₂³	semidirect
422. #13133202	C₂³	semidirect
423. #13133202	C₂³	semidirect
424. #13133202	C₂³	semidirect
425. #13133202	C₂³	semidirect
426. #13133202	C₂³	semidirect
428. #13133201	C₂³	semidirect
429. #13133201	C₂³	semidirect
430. #13133201	C₂³	semidirect
431. #13133201	C₂³	semidirect
433. #13133200	C₂³	semidirect
434. #13133200	C₂³	semidirect
435. #13133200	C₂³	semidirect
436. #13133200	C₂³	semidirect
439. #13133199	C₂³	semidirect
440. #13133199	C₂³	semidirect
441. #13133199	C₂³	semidirect
442. #13133199	C₂³	semidirect
443. #13133199	C₂³	semidirect
444. #13133199	C₂³	semidirect
445. #13133199	C₂³	semidirect
446. #13133199	C₂³	semidirect
448. #13133198	C₂³	semidirect
449. #13133198	C₂³	semidirect
450. #13133198	C₂³	semidirect
451. #13133198	C₂³	semidirect
453. #13133197	C₂³	semidirect
454. #13133197	C₂³	semidirect
455. #13133197	C₂³	semidirect
457. #13133196	C₂³	semidirect
458. #13133196	C₂³	semidirect
459. #13133196	C₂³	semidirect
462. #13133195	C₂³	semidirect
463. #13133195	C₂³	semidirect
464. #13133195	C₂³	semidirect
465. #13133195	C₂³	semidirect
468. #13133194	C₂³	semidirect
469. #13133194	C₂³	semidirect
470. #13133194	C₂³	semidirect
471. #13133194	C₂³	semidirect
473. #13133193	C₂³	semidirect
474. #13133193	C₂³	semidirect
475. #13133193	C₂³	semidirect
480. #13133192	C₂³	semidirect
481. #13133192	C₂³	semidirect
482. #13133192	C₂³	semidirect
483. #13133192	C₂³	semidirect
484. #13133192	C₂³	semidirect
485. #13133192	C₂³	semidirect
486. #13133192	C₂³	semidirect
491. #13133191	C₂³	semidirect
492. #13133191	C₂³	semidirect
493. #13133191	C₂³	semidirect
494. #13133191	C₂³	semidirect
495. #13133191	C₂³	semidirect
496. #13133191	C₂³	semidirect
497. #13133191	C₂³	semidirect
502. #13133190	C₂³	semidirect
503. #13133190	C₂³	semidirect
504. #13133190	C₂³	semidirect
505. #13133190	C₂³	semidirect
506. #13133190	C₂³	semidirect
507. #13133190	C₂³	semidirect
508. #13133190	C₂³	semidirect
509. #13133190	C₂³	semidirect
510. #13133190	C₂³	semidirect
511. #13133190	C₂³	semidirect
516. #13133189	C₂³	semidirect
517. #13133189	C₂³	semidirect
518. #13133189	C₂³	semidirect
519. #13133189	C₂³	semidirect
520. #13133189	C₂³	semidirect
521. #13133189	C₂³	semidirect
522. #13133189	C₂³	semidirect
523. #13133189	C₂³	semidirect
524. #13133189	C₂³	semidirect
525. #13133189	C₂³	semidirect
530. #13133188	C₂³	semidirect
531. #13133188	C₂³	semidirect
532. #13133188	C₂³	semidirect
533. #13133188	C₂³	semidirect
534. #13133188	C₂³	semidirect
535. #13133188	C₂³	semidirect
536. #13133188	C₂³	semidirect
551. Q₈×Dic₅₃	C₂³	semidirect
552. C₄×Dic₁₀₆	C₂³	semidirect
553. C₄×Dic₁₀₆	C₂³	semidirect
554. #13133182	C₂³	semidirect
555. #13133182	C₂³	semidirect
557. C₄×D₂₁₂	C₂³	semidirect
558. C₄×D₂₁₂	C₂³	semidirect
559. C₄×D₂₁₂	C₂³	semidirect
560. C₄×D₂₁₂	C₂³	semidirect
561. C₄×D₂₁₂	C₂³	semidirect
562. C₄×D₂₁₂	C₂³	semidirect
563. C₄×D₂₁₂	C₂³	semidirect
564. C₄×D₂₁₂	C₂³	semidirect
565. C₄×D₂₁₂	C₂³	semidirect
567. D₄×Dic₅₃	C₂³	semidirect
568. D₄×Dic₅₃	C₂³	semidirect
569. D₄×Dic₅₃	C₂³	semidirect
570. D₄×Dic₅₃	C₂³	semidirect
571. D₄×Dic₅₃	C₂³	semidirect
572. D₄×Dic₅₃	C₂³	semidirect
573. D₄×Dic₅₃	C₂³	semidirect
574. D₄×Dic₅₃	C₂³	semidirect
575. D₄×Dic₅₃	C₂³	semidirect
577. #13133179	C₂³	semidirect
578. #13133179	C₂³	semidirect
579. #13133179	C₂³	semidirect
580. #13133179	C₂³	semidirect
581. #13133179	C₂³	semidirect
582. #13133179	C₂³	semidirect
583. #13133179	C₂³	semidirect
584. #13133179	C₂³	semidirect
585. #13133179	C₂³	semidirect
588. C₄×C₂²⋊D₅₃	C₂³	semidirect
589. C₄×C₂²⋊D₅₃	C₂³	semidirect
590. C₄×C₂²⋊D₅₃	C₂³	semidirect
591. C₄×C₂²⋊D₅₃	C₂³	semidirect
592. C₄×C₂²⋊D₅₃	C₂³	semidirect
593. C₄×C₂²⋊D₅₃	C₂³	semidirect
594. C₄×C₂²⋊D₅₃	C₂³	semidirect
595. C₄×C₂²⋊D₅₃	C₂³	semidirect
596. C₄×C₂²⋊D₅₃	C₂³	semidirect
597. C₄×C₂²⋊D₅₃	C₂³	semidirect
598. C₄×C₂²⋊D₅₃	C₂³	semidirect
599. C₄×C₂²⋊D₅₃	C₂³	semidirect
600. C₄×C₂²⋊D₅₃	C₂³	semidirect
603. #13133177	C₂³	semidirect
604. #13133177	C₂³	semidirect
605. #13133177	C₂³	semidirect
606. #13133177	C₂³	semidirect
607. #13133177	C₂³	semidirect
608. #13133177	C₂³	semidirect
609. #13133177	C₂³	semidirect
610. #13133177	C₂³	semidirect
611. #13133177	C₂³	semidirect
612. #13133177	C₂³	semidirect
613. #13133177	C₂³	semidirect
614. #13133177	C₂³	semidirect
615. #13133177	C₂³	semidirect
620. #13133176	C₂³	semidirect
621. #13133176	C₂³	semidirect
622. #13133176	C₂³	semidirect
623. #13133176	C₂³	semidirect
624. #13133176	C₂³	semidirect
633. #13133175	C₂³	semidirect
634. #13133175	C₂³	semidirect
635. #13133175	C₂³	semidirect
636. #13133175	C₂³	semidirect
637. #13133175	C₂³	semidirect
638. #13133175	C₂³	semidirect
639. #13133175	C₂³	semidirect
640. #13133175	C₂³	semidirect
641. #13133175	C₂³	semidirect
642. #13133175	C₂³	semidirect
648. #13133174	C₂³	semidirect
649. #13133174	C₂³	semidirect
650. #13133174	C₂³	semidirect
651. #13133174	C₂³	semidirect
652. #13133174	C₂³	semidirect
653. #13133174	C₂³	semidirect
654. #13133174	C₂³	semidirect
660. #13133173	C₂³	semidirect
661. #13133173	C₂³	semidirect
662. #13133173	C₂³	semidirect
663. #13133173	C₂³	semidirect
664. #13133173	C₂³	semidirect
665. #13133173	C₂³	semidirect
666. #13133173	C₂³	semidirect
668. C₂×C₄⋊Dic₅₃	C₂³	semidirect
669. C₂×C₄⋊Dic₅₃	C₂³	semidirect
670. C₂×C₄⋊Dic₅₃	C₂³	semidirect
672. C₂×#11719919	C₂³	semidirect
673. C₂×#11719919	C₂³	semidirect
674. C₂×#11719919	C₂³	semidirect
693. C₄⋊C₄×D₅₃	C₂³	semidirect
694. C₄⋊C₄×D₅₃	C₂³	semidirect
695. C₄⋊C₄×D₅₃	C₂³	semidirect
696. C₄⋊C₄×D₅₃	C₂³	semidirect
697. C₄⋊C₄×D₅₃	C₂³	semidirect
698. C₄⋊C₄×D₅₃	C₂³	semidirect
699. C₄⋊C₄×D₅₃	C₂³	semidirect
700. C₄⋊C₄×D₅₃	C₂³	semidirect
701. C₄⋊C₄×D₅₃	C₂³	semidirect
737. C₂×C₄×Dic₅₃	C₂³	semidirect
738. C₂×C₄×Dic₅₃	C₂³	semidirect
739. C₂×C₄×Dic₅₃	C₂³	semidirect
746. C₄²×D₅₃	C₂³	semidirect
747. C₄²×D₅₃	C₂³	semidirect
748. C₄²×D₅₃	C₂³	semidirect
749. C₄²×D₅₃	C₂³	semidirect
751. C₂×#41×C₅₃	C₂³	semidirect
755. C₄⋊Q₈×C₅₃	C₂³	semidirect
756. C₄⋊Q₈×C₅₃	C₂³	semidirect
757. #127×C₅₃	C₂³	semidirect
758. #126×C₅₃	C₂³	semidirect
759. #126×C₅₃	C₂³	semidirect
760. #125×C₅₃	C₂³	semidirect
761. #125×C₅₃	C₂³	semidirect
762. #124×C₅₃	C₂³	semidirect
763. #124×C₅₃	C₂³	semidirect
764. #124×C₅₃	C₂³	semidirect
766. #123×C₅₃	C₂³	semidirect
767. #123×C₅₃	C₂³	semidirect
768. #123×C₅₃	C₂³	semidirect
769. #123×C₅₃	C₂³	semidirect
771. C₂²⋊Q₈×C₅₃	C₂³	semidirect
772. C₂²⋊Q₈×C₅₃	C₂³	semidirect
773. C₂²⋊Q₈×C₅₃	C₂³	semidirect
778. #121×C₅₃	C₂³	semidirect
779. #121×C₅₃	C₂³	semidirect
780. #121×C₅₃	C₂³	semidirect
781. #121×C₅₃	C₂³	semidirect
782. #121×C₅₃	C₂³	semidirect
783. #121×C₅₃	C₂³	semidirect
784. #121×C₅₃	C₂³	semidirect
787. C₄×Q₈×C₅₃	C₂³	semidirect
789. C₄×D₄×C₅₃	C₂³	semidirect
790. C₄×D₄×C₅₃	C₂³	semidirect
791. C₄×D₄×C₅₃	C₂³	semidirect
792. C₄×D₄×C₅₃	C₂³	semidirect
793. C₄×D₄×C₅₃	C₂³	semidirect
794. C₄×D₄×C₅₃	C₂³	semidirect
795. C₄×D₄×C₅₃	C₂³	semidirect
796. C₄×D₄×C₅₃	C₂³	semidirect
797. C₄×D₄×C₅₃	C₂³	semidirect
802. #117×C₅₃	C₂³	semidirect
803. #117×C₅₃	C₂³	semidirect
804. #117×C₅₃	C₂³	semidirect
805. #117×C₅₃	C₂³	semidirect
806. #117×C₅₃	C₂³	semidirect
808. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
809. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
810. C₂×C₄⋊C₄×C₅₃	C₂³	semidirect
814. C₂×C₄²×C₅₃	C₂³	semidirect
955. C₂×C₄×D₅₃	#41	semidirect
1215. C₂×C₄×C₅₃	C₂×#41	semidirect
1257. C₂×Dic₅₃	C₂×#41	semidirect
1315. C₄×D₅₃	C₂×#41	semidirect
1316. C₄×D₅₃	C₂×#41	semidirect
1410. #3494	D₅₃	direct (N × H)
1441. D₅₃	#3494	direct (N × H)
1458. #555	C₂×D₅₃	semidirect
1481. #553	C₂×D₅₃	semidirect
1482. #553	C₂×D₅₃	semidirect
1498. #551	C₂×D₅₃	semidirect
1510. #547	C₂×D₅₃	semidirect
1526. #546	C₂×D₅₃	semidirect
1535. #544	C₂×D₅₃	semidirect
1547. #542	C₂×D₅₃	semidirect
1559. #540	C₂×D₅₃	semidirect
1568. #535	C₂×D₅₃	semidirect
1580. #532	C₂×D₅₃	semidirect
1595. #529	C₂×D₅₃	semidirect
1614. #525	C₂×D₅₃	semidirect
1644. C₂×#121	C₂×D₅₃	semidirect
1655. #520	C₂×D₅₃	semidirect
1664. #518	C₂×D₅₃	semidirect
1696. C₂×#117	C₂×D₅₃	semidirect
1705. C₅₃	C₂×#3494	semidirect
1723. C₂×#41	C₂²×D₅₃	semidirect
1781. C₄⋊Q₈	C₂²×D₅₃	semidirect
1782. C₄⋊Q₈	C₂²×D₅₃	semidirect
1788. #127	C₂²×D₅₃	semidirect
1803. #126	C₂²×D₅₃	semidirect
1804. #126	C₂²×D₅₃	semidirect
1815. #125	C₂²×D₅₃	semidirect
1816. #125	C₂²×D₅₃	semidirect
1836. #124	C₂²×D₅₃	semidirect
1837. #124	C₂²×D₅₃	semidirect
1838. #124	C₂²×D₅₃	semidirect
1875. #123	C₂²×D₅₃	semidirect
1876. #123	C₂²×D₅₃	semidirect
1877. #123	C₂²×D₅₃	semidirect
1878. #123	C₂²×D₅₃	semidirect
1904. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1905. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1906. C₂²⋊Q₈	C₂²×D₅₃	semidirect
1972. #121	C₂²×D₅₃	semidirect
1973. #121	C₂²×D₅₃	semidirect
1974. #121	C₂²×D₅₃	semidirect
1975. #121	C₂²×D₅₃	semidirect
1976. #121	C₂²×D₅₃	semidirect
1977. #121	C₂²×D₅₃	semidirect
1978. #121	C₂²×D₅₃	semidirect
2000. C₄×Q₈	C₂²×D₅₃	semidirect
2062. C₄×D₄	C₂²×D₅₃	semidirect
2063. C₄×D₄	C₂²×D₅₃	semidirect
2064. C₄×D₄	C₂²×D₅₃	semidirect
2065. C₄×D₄	C₂²×D₅₃	semidirect
2066. C₄×D₄	C₂²×D₅₃	semidirect
2067. C₄×D₄	C₂²×D₅₃	semidirect
2068. C₄×D₄	C₂²×D₅₃	semidirect
2069. C₄×D₄	C₂²×D₅₃	semidirect
2070. C₄×D₄	C₂²×D₅₃	semidirect
2126. #117	C₂²×D₅₃	semidirect
2127. #117	C₂²×D₅₃	semidirect
2128. #117	C₂²×D₅₃	semidirect
2129. #117	C₂²×D₅₃	semidirect
2130. #117	C₂²×D₅₃	semidirect
2167. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2168. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2169. C₂×C₄⋊C₄	C₂²×D₅₃	semidirect
2221. C₂×C₄²	C₂²×D₅₃	semidirect
2716. C₂×C₄	#41×D₅₃	semidirect

Maximal subgroups

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

subgroup	index
#20288453	2
#20288452	2
#20288451	2
#20288450	2
#20288449	2
#20288448	2
#20288447	2
#20288446	2
#20288445	2
#20288444	2
#20288443	2
#20288442	2
#20288441	2
#20288440	2
#20288439	2
#20288438	2
#20288437	2
#555×D₅₃	2
#553×D₅₃	2
#551×D₅₃	2
#547×D₅₃	2
#546×D₅₃	2
#544×D₅₃	2
#542×D₅₃	2
#540×D₅₃	2
#535×D₅₃	2
#532×D₅₃	2
#529×D₅₃	2
#525×D₅₃	2
C₂×#121×D₅₃	2
#520×D₅₃	2
#518×D₅₃	2
C₂×#117×D₅₃	2
C₅₃×#3494	2
C₂×#3494	53

Subgroups — D53×#3494 #28292425

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₅₃×#3494 #28292425