Subgroups — #28329086

Order 13568.

2314 conjugacy classes of subgroups.

The subgroup lattice has 2206 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#20291262	C₂	1	1	yes	maximal, characteristic, complemented
2	#20291257	C₂	1	1	yes	maximal, characteristic, complemented
3	#20291255	C₂	1	1	yes	maximal, characteristic, complemented
4	#20291254	C₂	1	1	yes	maximal, characteristic, complemented
5	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
6	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
7	#20291252	C₂	1	1	yes	maximal, characteristic, complemented
8	#20291251	C₂	1	1	yes	maximal, characteristic, complemented
9	#20291246	C₂	1	1	yes	maximal, characteristic, complemented
10	#20291241	C₂	1	1	yes	maximal, characteristic, complemented
11	#20291238	C₂	1	1	yes	maximal, characteristic, complemented
12	#20291237	C₂	1	1	yes	maximal, characteristic, complemented
13	#20291233	C₂	1	1	yes	maximal, characteristic, complemented
14	#20291232	C₂	1	1	yes	maximal, characteristic, complemented
15	#20291221	C₂	1	1	yes	maximal, characteristic, complemented
16	#20291221	C₂	1	1	yes	maximal, characteristic, complemented
17	#20291216	C₂	1	1	yes	maximal, characteristic, complemented
18	#20291214	C₂	1	1	yes	maximal, characteristic, complemented
19	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
20	#20291212	C₂	1	1	yes	maximal, characteristic, complemented
21	#20291205	C₂	1	1	yes	maximal, characteristic, complemented
22	#20291204	C₂	1	1	yes	maximal, characteristic, complemented
23	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
24	#20291203	C₂	1	1	yes	maximal, characteristic, complemented
25	#20291200	C₂	1	1	yes	maximal, characteristic, complemented
26	#20291200	C₂	1	1	yes	maximal, characteristic, complemented
27	#20291198	C₂	1	1	yes	maximal, characteristic, complemented
28	#123×#6157	C₂	1	1	yes	maximal, characteristic, complemented
29	#121×#6157	C₂	1	1	yes	maximal, characteristic, complemented
30	#20291169	C₂	1	1	yes	maximal, characteristic, complemented
31	#538×D₅₃	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#6157	C₂²	1	1	yes	characteristic, complemented
33	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
34	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
35	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
36	C₂×D₄×#6157	C₂²	1	1	yes	characteristic
37	C₂×D₄×#6157	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13133296	C₂²	1	1	yes	characteristic
39	C₂×#13133296	C₂²	1	1	yes	characteristic
40	C₂×#13133296	C₂²	1	1	yes	characteristic, complemented
41	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
42	C₂²×C₂²⋊#6157	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#6157	C₂²	1	1	yes	characteristic, complemented
44	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
45	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
46	(C₂×#6157)⋊Q₈	C₂²	1	1	yes	characteristic, complemented
47	#16811575	C₂²	1	1	yes	characteristic
48	#16811575	C₂²	1	1	yes	characteristic
49	#16811575	C₂²	1	1	yes	characteristic
50	#16811575	C₂²	1	1	yes	characteristic
51	#16811575	C₂²	1	1	yes	characteristic
52	#16811575	C₂²	1	1	yes	characteristic
53	#16811575	C₂²	1	1	yes	characteristic
54	#16811575	C₂²	1	1	yes	characteristic
55	#16811575	C₂²	1	1	yes	characteristic, complemented
56	#16811574	C₂²	1	1	yes	characteristic, complemented
57	#16811574	C₂²	1	1	yes	characteristic, complemented
58	#16811574	C₂²	1	1	yes	characteristic, complemented
59	#16811574	C₂²	1	1	yes	characteristic, complemented
60	#16811574	C₂²	1	1	yes	characteristic, complemented
61	#16811574	C₂²	1	1	yes	characteristic, complemented
62	#16811573	C₂²	1	1	yes	characteristic
63	#16811573	C₂²	1	1	yes	characteristic
64	#16811573	C₂²	1	1	yes	characteristic
65	#16811573	C₂²	1	1	yes	characteristic
66	#16811573	C₂²	1	1	yes	characteristic
67	#16811573	C₂²	1	1	yes	characteristic
68	#16811573	C₂²	1	1	yes	characteristic
69	#16811573	C₂²	1	1	yes	characteristic
70	#16811573	C₂²	1	1	yes	characteristic
71	#16811573	C₂²	1	1	yes	characteristic
72	#16811573	C₂²	1	1	yes	characteristic
73	#16811573	C₂²	1	1	yes	characteristic
74	#16811573	C₂²	1	1	yes	characteristic
75	#16811573	C₂²	1	1	yes	characteristic
76	#16811573	C₂²	1	1	yes	characteristic
77	#16811573	C₂²	1	1	yes	characteristic
78	#16811573	C₂²	1	1	yes	characteristic
79	#16811573	C₂²	1	1	yes	characteristic
80	#16811573	C₂²	1	1	yes	characteristic
81	#16811573	C₂²	1	1	yes	characteristic
82	#16811573	C₂²	1	1	yes	characteristic
83	#16811573	C₂²	1	1	yes	characteristic
84	#16811573	C₂²	1	1	yes	characteristic
85	#16811573	C₂²	1	1	yes	characteristic
86	#16811573	C₂²	1	1	yes	characteristic, complemented
87	#16811573	C₂²	1	1	yes	characteristic, complemented
88	#16811573	C₂²	1	1	yes	characteristic, complemented
89	#16811573	C₂²	1	1	yes	characteristic, complemented
90	#16811573	C₂²	1	1	yes	characteristic, complemented
91	#16811573	C₂²	1	1	yes	characteristic, complemented
92	#16811573	C₂²	1	1	yes	characteristic, complemented
93	#16811573	C₂²	1	1	yes	characteristic, complemented
94	#16811572	C₂²	1	1	yes	characteristic, complemented
95	#16811572	C₂²	1	1	yes	characteristic, complemented
96	#16811572	C₂²	1	1	yes	characteristic, complemented
97	#16811572	C₂²	1	1	yes	characteristic, complemented
98	#16811572	C₂²	1	1	yes	characteristic, complemented
99	#16811572	C₂²	1	1	yes	characteristic, complemented
100	#16811572	C₂²	1	1	yes	characteristic, complemented
101	#16811572	C₂²	1	1	yes	characteristic, complemented
102	#16811572	C₂²	1	1	yes	characteristic, complemented
103	#16811572	C₂²	1	1	yes	characteristic, complemented
104	#16811572	C₂²	1	1	yes	characteristic, complemented
105	#16811572	C₂²	1	1	yes	characteristic, complemented
106	#16811571	C₂²	1	1	yes	characteristic
107	#16811571	C₂²	1	1	yes	characteristic
108	#16811571	C₂²	1	1	yes	characteristic
109	#16811571	C₂²	1	1	yes	characteristic
110	#16811571	C₂²	1	1	yes	characteristic
111	#16811571	C₂²	1	1	yes	characteristic
112	#16811571	C₂²	1	1	yes	characteristic
113	#16811571	C₂²	1	1	yes	characteristic
114	#16811571	C₂²	1	1	yes	characteristic
115	#16811571	C₂²	1	1	yes	characteristic
116	#16811571	C₂²	1	1	yes	characteristic
117	#16811571	C₂²	1	1	yes	characteristic
118	#16811571	C₂²	1	1	yes	characteristic, complemented
119	#16811571	C₂²	1	1	yes	characteristic, complemented
120	#16811570	C₂²	1	1	yes	characteristic
121	#16811570	C₂²	1	1	yes	characteristic
122	#16811570	C₂²	1	1	yes	characteristic
123	#16811570	C₂²	1	1	yes	characteristic
124	#16811570	C₂²	1	1	yes	characteristic
125	#16811570	C₂²	1	1	yes	characteristic
126	#16811570	C₂²	1	1	yes	characteristic
127	#16811570	C₂²	1	1	yes	characteristic
128	#16811570	C₂²	1	1	yes	characteristic, complemented
129	#16811570	C₂²	1	1	yes	characteristic, complemented
130	#16811570	C₂²	1	1	yes	characteristic, complemented
131	#16811570	C₂²	1	1	yes	characteristic, complemented
132	#16811569	C₂²	1	1	yes	characteristic, complemented
133	#16811568	C₂²	1	1	yes	characteristic, complemented
134	#16811566	C₂²	1	1	yes	characteristic
135	#16811566	C₂²	1	1	yes	characteristic
136	#16811566	C₂²	1	1	yes	characteristic, complemented
137	#16811565	C₂²	1	1	yes	characteristic
138	#16811565	C₂²	1	1	yes	characteristic
139	#16811565	C₂²	1	1	yes	characteristic, complemented
140	#16811565	C₂²	1	1	yes	characteristic, complemented
141	#16811565	C₂²	1	1	yes	characteristic, complemented
142	#16811564	C₂²	1	1	yes	characteristic
143	#16811564	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
145	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
146	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
147	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
148	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
149	C₄⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊#6157	C₂²	1	1	yes	characteristic, complemented
153	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
154	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
155	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
156	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
157	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
158	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic
161	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
162	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
163	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
164	C₂²⋊C₄×#6157	C₂²	1	1	yes	characteristic, complemented
165	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊#6157	C₂²	1	1	yes	characteristic, complemented
168	#16811559	C₂²	1	1	yes	characteristic, complemented
169	#16811559	C₂²	1	1	yes	characteristic, complemented
170	#16811559	C₂²	1	1	yes	characteristic, complemented
171	C₂×(C₂×#6157)⋊C₄	C₂²	1	1	yes	characteristic, complemented
172	#16811213	C₄	1	1	yes	characteristic, complemented
173	#16811212	C₄	1	1	yes	characteristic, complemented
174	#16811212	C₄	1	1	yes	characteristic, complemented
175	#16811211	C₄	1	1	yes	characteristic, complemented
176	#16811210	C₄	1	1	yes	characteristic, complemented
177	#16811209	C₄	1	1	yes	characteristic, complemented
178	#16811209	C₄	1	1	yes	characteristic, complemented
179	#16811208	C₄	1	1	yes	characteristic, complemented
180	#16811208	C₄	1	1	yes	characteristic, complemented
181	#16811207	C₄	1	1	yes	characteristic, complemented
182	#16811207	C₄	1	1	yes	characteristic, complemented
183	#16811206	C₄	1	1	yes	characteristic, complemented
184	#16811206	C₄	1	1	yes	characteristic, complemented
185	#16811205	C₄	1	1	yes	characteristic, complemented
186	#16811205	C₄	1	1	yes	characteristic, complemented
187	#126×D₅₃	C₂²	1	1	yes	characteristic
188	#126×D₅₃	C₂²	1	1	yes	characteristic
189	#124×D₅₃	C₂²	1	1	yes	characteristic
190	#124×D₅₃	C₂²	1	1	yes	characteristic
191	#123×D₅₃	C₂²	1	1	yes	characteristic
192	#123×D₅₃	C₂²	1	1	yes	characteristic
193	C₂²⋊Q₈×D₅₃	C₂²	1	1	yes	characteristic
194	#121×D₅₃	C₂²	1	1	yes	characteristic
195	#121×D₅₃	C₂²	1	1	yes	characteristic
196	#121×D₅₃	C₂²	1	1	yes	characteristic
197	#120×D₅₃	C₂²	1	1	yes	characteristic
198	#120×D₅₃	C₂²	1	1	yes	characteristic
199	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
200	C₄×D₄×D₅₃	C₂²	1	1	yes	characteristic
201	C₂×C₂²⋊C₄×D₅₃	C₂²	1	1	yes	characteristic
202	C₅₃×#538	C₄	1	1	yes	characteristic, complemented
203	C₂³×#6157	C₂³	1	1	yes	characteristic
204	C₂³×#6157	C₂³	1	1	yes	characteristic
205	C₂³×#6157	C₂³	1	1	yes	characteristic
206	C₂³×#6157	C₂³	1	1	yes	characteristic
207	C₂³×#6157	C₂³	1	1	yes	characteristic
208	C₂³×#6157	C₂³	1	1	yes	characteristic
209	C₂³×#6157	C₂³	1	1	yes	characteristic
210	C₂³×#6157	C₂³	1	1	yes	characteristic
211	Q₈×#6157	—	4	2	no	—
212	D₄×#6157	—	4	2	no	—
213	D₄×#6157	—	4	2	no	—
214	D₄×#6157	—	4	2	no	—
215	D₄×#6157	—	4	2	no	—
216	D₄×#6157	—	4	2	no	—
217	#13133296	—	4	2	no	—
218	#13133296	—	4	2	no	—
219	#13133296	—	4	2	no	—
220	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
221	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
222	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
227	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
228	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊#6157	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#6157	—	4	2	no	—
241	C₂×C₂²⋊#6157	—	4	2	no	—
242	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
265	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
266	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
268	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
269	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
270	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
271	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊#6157	C₂³	1	1	yes	characteristic
274	C₂×C₄×#6157	—	4	2	no	—
275	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
276	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
277	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
278	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
279	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
280	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
281	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
282	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
283	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
284	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
285	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
286	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
287	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
288	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
289	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
290	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
291	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
292	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
293	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
294	C₂×C₄×#6157	C₂³	1	1	yes	characteristic
295	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
296	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
297	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
298	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
299	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
300	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
301	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
302	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
303	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
304	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
305	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
306	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
307	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
308	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
309	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
310	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
311	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
312	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
313	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
314	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
315	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
316	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
317	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
318	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
319	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
320	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
321	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
322	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
323	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
324	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
325	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
326	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
327	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
328	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
329	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
330	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
331	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
332	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
333	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
334	(C₂×#6157)⋊C₄	C₂³	1	1	yes	characteristic
335	C₂⁴×D₅₃	C₂³	1	1	yes	characteristic
336	C₂×Q₈×D₅₃	C₂³	1	1	yes	characteristic
337	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
338	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
339	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
340	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
341	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
342	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
343	C₂×D₄×D₅₃	C₂³	1	1	yes	characteristic
344	C₂²×C₄×D₅₃	C₂³	1	1	yes	characteristic
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	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
349	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
350	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
351	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
352	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
353	#13133212	C₂×C₄	1	1	yes	characteristic, complemented
354	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
355	#13133211	C₂×C₄	1	1	yes	characteristic, complemented
356	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
357	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
358	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
359	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
360	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
361	#13133210	C₂×C₄	1	1	yes	characteristic, complemented
362	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
363	#13133206	C₂×C₄	1	1	yes	characteristic, complemented
364	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
365	#13133205	C₂×C₄	1	1	yes	characteristic, complemented
366	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
367	#13133204	C₂×C₄	1	1	yes	characteristic, complemented
368	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
369	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
370	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
371	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
372	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
373	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
374	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
375	#13133203	C₂×C₄	1	1	yes	characteristic, complemented
376	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
377	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
378	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
379	#13133202	C₂×C₄	1	1	yes	characteristic, complemented
380	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
381	#13133201	C₂×C₄	1	1	yes	characteristic, complemented
382	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
383	#13133200	C₂×C₄	1	1	yes	characteristic, complemented
384	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
385	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
386	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
387	#13133199	C₂×C₄	1	1	yes	characteristic, complemented
388	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
389	#13133198	C₂×C₄	1	1	yes	characteristic, complemented
390	#13133197	C₂×C₄	1	1	yes	characteristic, complemented
391	#13133196	C₂×C₄	1	1	yes	characteristic, complemented
392	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
393	#13133195	C₂×C₄	1	1	yes	characteristic, complemented
394	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
395	#13133194	C₂×C₄	1	1	yes	characteristic, complemented
396	#13133193	C₂×C₄	1	1	yes	characteristic, complemented
397	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
398	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
399	#13133192	C₂×C₄	1	1	yes	characteristic, complemented
400	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
401	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
402	#13133191	C₂×C₄	1	1	yes	characteristic, complemented
403	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
404	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
405	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
406	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
407	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
408	#13133190	C₂×C₄	1	1	yes	characteristic, complemented
409	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
410	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
411	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
412	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
413	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
414	#13133189	C₂×C₄	1	1	yes	characteristic, complemented
415	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
416	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
417	#13133188	C₂×C₄	1	1	yes	characteristic, complemented
418	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
419	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
420	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
421	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
422	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
423	#13133187	C₂×C₄	1	1	yes	characteristic, complemented
424	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
425	#13133186	C₂×C₄	1	1	yes	characteristic, complemented
426	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
427	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
428	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
429	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
430	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
431	#13133185	C₂×C₄	1	1	yes	characteristic, complemented
432	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
433	C₄×D₂₁₂	C₂×C₄	1	1	yes	characteristic, complemented
434	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
435	D₄×Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
436	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
437	#13133179	C₂×C₄	1	1	yes	characteristic, complemented
438	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
439	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
440	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
441	C₄×C₂²⋊D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
442	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
443	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
444	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
445	#13133177	C₂×C₄	1	1	yes	characteristic, complemented
446	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
447	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
448	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
449	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
450	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
451	C₄⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
452	C₂×C₂²⋊Dic₅₃	C₂×C₄	1	1	yes	characteristic, complemented
453	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
454	C₂×#11719921	C₂×C₄	1	1	yes	characteristic, complemented
455	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
456	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
457	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
458	C₂²⋊C₄×D₅₃	C₂×C₄	1	1	yes	characteristic, complemented
459	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
460	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
461	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
462	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
463	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
464	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
465	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
466	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
467	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
468	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
469	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
470	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
471	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
472	C₂²⋊C₄×D₅₃	C₂³	1	1	yes	characteristic
473	C₄²×D₅₃	C₂³	1	1	yes	characteristic
474	C₄²×D₅₃	C₂³	1	1	yes	characteristic
475	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
476	#126×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
477	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
478	#124×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
479	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
480	#123×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
481	C₂²⋊Q₈×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
482	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
483	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
484	#121×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
485	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
486	#120×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
487	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
488	C₄×D₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
489	C₂×C₂²⋊C₄×C₅₃	C₂×C₄	1	1	yes	characteristic, complemented
490	C₂⁴×C₅₃	C₂²×C₄	1	1	yes	characteristic
491	C₂³×D₅₃	—	4	1	no	—
492	C₂³×D₅₃	—	4	1	no	—
493	C₂³×D₅₃	—	4	1	no	—
494	C₂³×D₅₃	—	4	1	no	—
495	C₂³×D₅₃	—	4	1	no	—
496	C₂³×D₅₃	—	4	1	no	—
497	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
498	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
499	C₂³×D₅₃	C₂²×C₄	1	1	yes	characteristic
500	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
501	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
502	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
503	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
504	C₂³×D₅₃	C₂⁴	1	1	yes	characteristic
505	C₂²×#6157	—	2	2	no	—
506	C₂²×#6157	—	2	2	no	—
507	C₂²×#6157	—	2	2	no	—
508	C₂²×#6157	—	2	2	no	—
509	C₂²×#6157	—	2	2	no	—
510	C₂²×#6157	—	4	1	no	—
511	C₂²×#6157	—	4	1	no	—
512	C₂²×#6157	—	4	1	no	—
513	C₂²×#6157	—	4	1	no	—
514	C₂²×#6157	—	4	1	no	—
515	C₂²×#6157	—	4	1	no	—
516	C₂²×#6157	—	4	1	no	—
517	C₂²×#6157	—	4	1	no	—
518	C₂²×#6157	—	4	1	no	—
519	C₂²×#6157	—	4	1	no	—
520	C₂²×#6157	—	4	1	no	—
521	C₂²×#6157	—	4	1	no	—
522	C₂²×#6157	—	4	1	no	—
523	C₂²×#6157	—	4	1	no	—
524	C₂²×#6157	—	4	1	no	—
525	C₂²×#6157	—	4	1	no	—
526	C₂²×#6157	—	4	1	no	—
527	C₂²×#6157	—	4	1	no	—
528	C₂²×#6157	—	4	1	no	—
529	C₂²×#6157	C₂⁴	1	1	yes	characteristic
530	C₂²×#6157	C₂⁴	1	1	yes	characteristic
531	C₂²×#6157	C₂⁴	1	1	yes	characteristic
532	C₂²×#6157	C₂⁴	1	1	yes	characteristic
533	C₂²×#6157	C₂⁴	1	1	yes	characteristic
534	C₂²×#6157	C₂⁴	1	1	yes	characteristic
535	C₂²×#6157	C₂⁴	1	1	yes	characteristic
536	C₂²×#6157	C₂⁴	1	1	yes	characteristic
537	C₂²×#6157	C₂⁴	1	1	yes	characteristic
538	C₂²×#6157	C₂⁴	1	1	yes	characteristic
539	C₂²×#6157	C₂⁴	1	1	yes	characteristic
540	C₂²×#6157	C₂⁴	1	1	yes	characteristic
541	C₂²×#6157	C₂⁴	1	1	yes	characteristic
542	C₂²×#6157	C₂⁴	1	1	yes	characteristic
543	C₂²×#6157	C₂⁴	1	1	yes	characteristic
544	C₂²×#6157	C₂⁴	1	1	yes	characteristic
545	C₂×Q₈×C₅₃	C₂²×C₄	1	1	yes	characteristic
546	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
551	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×D₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
553	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
554	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
555	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
556	C₂²×C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
559	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
560	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
561	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
562	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
563	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
564	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
565	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
566	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
567	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
568	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
569	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
570	C₂×C₂²⋊D₅₃	C₂²×C₄	1	1	yes	characteristic
571	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
572	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
573	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
574	C₂²×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
575	Q₈×D₅₃	—	4	1	no	—
576	Q₈×D₅₃	—	4	1	no	—
577	D₄×D₅₃	—	4	1	no	—
578	D₄×D₅₃	—	4	1	no	—
579	D₄×D₅₃	—	4	1	no	—
580	D₄×D₅₃	—	4	1	no	—
581	D₄×D₅₃	—	4	1	no	—
582	D₄×D₅₃	—	4	1	no	—
583	D₄×D₅₃	—	4	1	no	—
584	D₄×D₅₃	—	4	1	no	—
585	D₄×D₅₃	—	4	1	no	—
586	D₄×D₅₃	—	4	1	no	—
587	D₄×D₅₃	—	4	1	no	—
588	D₄×D₅₃	—	4	1	no	—
589	D₄×D₅₃	—	4	1	no	—
590	D₄×D₅₃	—	4	1	no	—
591	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
592	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
593	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
594	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
595	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
596	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
597	C₂×D₂₁₂	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₅₃	—	4	1	no	—
599	C₂×C₄×D₅₃	—	4	1	no	—
600	C₂×C₄×D₅₃	—	4	1	no	—
601	C₂×C₄×D₅₃	—	4	1	no	—
602	C₂×C₄×D₅₃	—	4	1	no	—
603	C₂×C₄×D₅₃	—	4	1	no	—
604	C₂×C₄×D₅₃	—	4	1	no	—
605	C₂×C₄×D₅₃	—	4	1	no	—
606	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
607	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
608	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
609	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
610	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
611	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
612	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
613	C₂×C₄×D₅₃	C₂²×C₄	1	1	yes	characteristic
614	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
615	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
616	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
617	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
618	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
619	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
620	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
621	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
622	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
623	C₂×C₄×D₅₃	C₂⁴	1	1	yes	characteristic
624	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
625	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
626	C₂×Dic₁₀₆	C₂²×C₄	1	1	yes	characteristic
627	C₂²⋊#6157	—	2	2	no	—
628	C₂²⋊#6157	—	2	2	no	—
629	C₂²⋊#6157	—	2	2	no	—
630	C₂²⋊#6157	—	2	2	no	—
631	C₂²⋊#6157	—	2	2	no	—
632	C₂²⋊#6157	—	4	1	no	—
633	C₂²⋊#6157	—	4	1	no	—
634	C₂²⋊#6157	—	4	1	no	—
635	C₂²⋊#6157	—	4	1	no	—
636	C₂²⋊#6157	—	4	1	no	—
637	C₂²⋊#6157	—	4	1	no	—
638	C₂²⋊#6157	—	4	1	no	—
639	C₂²⋊#6157	—	4	1	no	—
640	C₂²⋊#6157	—	4	1	no	—
641	C₂²⋊#6157	—	4	1	no	—
642	C₂²⋊#6157	—	4	1	no	—
643	C₂²⋊#6157	—	4	1	no	—
644	C₂²⋊#6157	—	4	1	no	—
645	C₂²⋊#6157	—	4	1	no	—
646	C₂²⋊#6157	—	4	1	no	—
647	C₂²⋊#6157	—	4	1	no	—
648	C₂²⋊#6157	—	4	1	no	—
649	C₂²⋊#6157	—	4	1	no	—
650	C₂²⋊#6157	—	4	1	no	—
651	C₂²⋊#6157	—	4	1	no	—
652	C₂²⋊#6157	—	4	1	no	—
653	C₂²⋊#6157	—	4	1	no	—
654	C₂²⋊#6157	—	4	1	no	—
655	C₂²⋊#6157	—	4	1	no	—
656	C₂²⋊#6157	—	4	1	no	—
657	C₂²⋊#6157	—	4	1	no	—
658	C₂²⋊#6157	—	4	1	no	—
659	C₄⋊#6157	—	2	2	no	—
660	C₄⋊#6157	—	2	2	no	—
661	C₄⋊#6157	—	2	2	no	—
662	C₄⋊#6157	—	4	1	no	—
663	C₄⋊#6157	—	4	1	no	—
664	C₄⋊#6157	—	4	1	no	—
665	C₄⋊#6157	—	4	1	no	—
666	C₄⋊#6157	—	4	1	no	—
667	C₄⋊#6157	—	4	1	no	—
668	C₄⋊#6157	—	4	1	no	—
669	C₄⋊#6157	—	4	1	no	—
670	C₄⋊#6157	—	4	1	no	—
671	C₄⋊#6157	—	4	1	no	—
672	C₄⋊#6157	—	4	1	no	—
673	C₄⋊#6157	—	4	1	no	—
674	C₄⋊#6157	—	4	1	no	—
675	C₄⋊#6157	—	4	1	no	—
676	C₄⋊#6157	—	4	1	no	—
677	C₄⋊#6157	—	4	1	no	—
678	C₄⋊#6157	—	4	1	no	—
679	C₄×#6157	—	2	2	no	—
680	C₄×#6157	—	2	2	no	—
681	C₄×#6157	—	2	2	no	—
682	C₄×#6157	—	2	2	no	—
683	C₄×#6157	—	2	2	no	—
684	C₄×#6157	—	4	1	no	—
685	C₄×#6157	—	4	1	no	—
686	C₄×#6157	—	4	1	no	—
687	C₄×#6157	—	4	1	no	—
688	C₄×#6157	—	4	1	no	—
689	C₄×#6157	—	4	1	no	—
690	C₄×#6157	—	4	1	no	—
691	C₄×#6157	—	4	1	no	—
692	C₄×#6157	—	4	1	no	—
693	C₄×#6157	—	4	1	no	—
694	C₄×#6157	—	4	1	no	—
695	C₄×#6157	—	4	1	no	—
696	C₄×#6157	—	4	1	no	—
697	C₄×#6157	—	4	1	no	—
698	C₄×#6157	—	4	1	no	—
699	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
700	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
701	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
702	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
703	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
704	C₄⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
705	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
706	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
707	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
708	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
717	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₅₃	C₂²×C₄	1	1	yes	characteristic
719	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
720	C₄²×C₅₃	C₂²×C₄	1	1	yes	characteristic
721	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
722	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
723	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
724	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
725	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
726	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
727	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
728	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
729	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
730	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
731	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
732	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
733	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
734	C₂²⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
735	#11719921	C₂²×C₄	1	1	yes	characteristic
736	#11719921	C₂²×C₄	1	1	yes	characteristic
737	#11719921	C₂²×C₄	1	1	yes	characteristic
738	#11719921	C₂²×C₄	1	1	yes	characteristic
739	#11719921	C₂²×C₄	1	1	yes	characteristic
740	#11719921	C₂²×C₄	1	1	yes	characteristic
741	#11719921	C₂²×C₄	1	1	yes	characteristic
742	#11719921	C₂²×C₄	1	1	yes	characteristic
743	#11719921	C₂²×C₄	1	1	yes	characteristic
744	#11719921	C₂²×C₄	1	1	yes	characteristic
745	#11719921	C₂²×C₄	1	1	yes	characteristic
746	#11719921	C₂²×C₄	1	1	yes	characteristic
747	#11719921	C₂²×C₄	1	1	yes	characteristic
748	#11719921	C₂²×C₄	1	1	yes	characteristic
749	#11719921	C₂²×C₄	1	1	yes	characteristic
750	#11719921	C₂²×C₄	1	1	yes	characteristic
751	#11719921	C₂²×C₄	1	1	yes	characteristic
752	#11719921	C₂²×C₄	1	1	yes	characteristic
753	#11719921	C₂²×C₄	1	1	yes	characteristic
754	#11719921	C₂²×C₄	1	1	yes	characteristic
755	#11719921	C₂²×C₄	1	1	yes	characteristic
756	#11719921	C₂²×C₄	1	1	yes	characteristic
757	#11719921	C₂²×C₄	1	1	yes	characteristic
758	#11719921	C₂²×C₄	1	1	yes	characteristic
759	#11719921	C₂²×C₄	1	1	yes	characteristic
760	#11719921	C₂²×C₄	1	1	yes	characteristic
761	#11719921	C₂²×C₄	1	1	yes	characteristic
762	#11719921	C₂²×C₄	1	1	yes	characteristic
763	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
764	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
765	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
766	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
767	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
768	C₄⋊Dic₅₃	C₂²×C₄	1	1	yes	characteristic
769	#11719919	C₂²×C₄	1	1	yes	characteristic
770	#11719919	C₂²×C₄	1	1	yes	characteristic
771	#11719919	C₂²×C₄	1	1	yes	characteristic
772	#11719919	C₂²×C₄	1	1	yes	characteristic
773	#11719919	C₂²×C₄	1	1	yes	characteristic
774	#11719919	C₂²×C₄	1	1	yes	characteristic
775	#11719919	C₂²×C₄	1	1	yes	characteristic
776	#11719919	C₂²×C₄	1	1	yes	characteristic
777	#11719919	C₂²×C₄	1	1	yes	characteristic
778	#11719919	C₂²×C₄	1	1	yes	characteristic
779	#11719919	C₂²×C₄	1	1	yes	characteristic
780	#11719919	C₂²×C₄	1	1	yes	characteristic
781	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
782	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
783	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
784	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
785	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
786	C₄×Dic₅₃	C₂²×C₄	1	1	yes	characteristic
787	C₂³×C₅₃	—	4	1	no	—
788	C₂³×C₅₃	—	4	1	no	—
789	C₂³×C₅₃	—	4	1	no	—
790	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
791	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
792	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
793	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
794	C₂³×C₅₃	C₂³×C₄	1	1	yes	characteristic
795	C₂²×D₅₃	—	2	1	no	—
796	C₂²×D₅₃	—	2	1	no	—
797	C₂²×D₅₃	—	2	1	no	—
798	C₂²×D₅₃	—	2	1	no	—
799	C₂²×D₅₃	—	2	1	no	—
800	C₂²×D₅₃	—	2	1	no	—
801	C₂²×D₅₃	—	2	1	no	—
802	C₂²×D₅₃	—	2	1	no	—
803	C₂²×D₅₃	—	2	1	no	—
804	C₂²×D₅₃	—	2	1	no	—
805	C₂²×D₅₃	—	2	1	no	—
806	C₂²×D₅₃	—	2	1	no	—
807	C₂²×D₅₃	—	2	1	no	—
808	C₂²×D₅₃	—	2	1	no	—
809	C₂²×D₅₃	—	2	1	no	—
810	C₂²×D₅₃	—	2	1	no	—
811	C₂²×D₅₃	—	2	1	no	—
812	C₂²×D₅₃	—	2	1	no	—
813	C₂²×D₅₃	—	2	1	no	—
814	C₂²×D₅₃	—	2	1	no	—
815	C₂²×D₅₃	—	2	1	no	—
816	C₂²×D₅₃	—	2	1	no	—
817	C₂²×D₅₃	—	2	1	no	—
818	C₂²×D₅₃	—	2	1	no	—
819	C₂²×D₅₃	—	2	1	no	—
820	C₂²×D₅₃	—	2	1	no	—
821	C₂²×D₅₃	—	2	1	no	—
822	C₂²×D₅₃	—	2	1	no	—
823	C₂²×D₅₃	—	2	1	no	—
824	C₂²×D₅₃	—	2	1	no	—
825	C₂²×D₅₃	—	4	1	no	—
826	C₂²×D₅₃	—	4	1	no	—
827	C₂²×D₅₃	—	4	1	no	—
828	C₂²×D₅₃	—	4	1	no	—
829	C₂²×D₅₃	—	4	1	no	—
830	C₂²×D₅₃	—	4	1	no	—
831	C₂²×D₅₃	—	4	1	no	—
832	C₂²×D₅₃	—	4	1	no	—
833	C₂²×D₅₃	—	4	1	no	—
834	C₂²×D₅₃	—	8	2	no	—
835	C₂²×D₅₃	—	8	2	no	—
836	C₂²×D₅₃	—	8	2	no	—
837	C₂²×D₅₃	—	8	2	no	—
838	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
839	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
840	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
841	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
842	C₂²×D₅₃	C₂³×C₄	1	1	yes	characteristic
843	C₂²×D₅₃	C₂⁵	1	1	yes	characteristic
844	C₂×#6157	—	2	1	no	—
845	C₂×#6157	—	2	1	no	—
846	C₂×#6157	—	2	1	no	—
847	C₂×#6157	—	2	1	no	—
848	C₂×#6157	—	2	1	no	—
849	C₂×#6157	—	2	1	no	—
850	C₂×#6157	—	2	1	no	—
851	C₂×#6157	—	2	1	no	—
852	C₂×#6157	—	2	1	no	—
853	C₂×#6157	—	2	1	no	—
854	C₂×#6157	—	2	1	no	—
855	C₂×#6157	—	2	1	no	—
856	C₂×#6157	—	2	1	no	—
857	C₂×#6157	—	2	1	no	—
858	C₂×#6157	—	2	1	no	—
859	C₂×#6157	—	2	1	no	—
860	C₂×#6157	—	2	1	no	—
861	C₂×#6157	—	2	1	no	—
862	C₂×#6157	—	2	1	no	—
863	C₂×#6157	—	2	1	no	—
864	C₂×#6157	—	2	1	no	—
865	C₂×#6157	—	2	1	no	—
866	C₂×#6157	—	2	1	no	—
867	C₂×#6157	—	2	1	no	—
868	C₂×#6157	—	2	1	no	—
869	C₂×#6157	—	2	1	no	—
870	C₂×#6157	—	2	1	no	—
871	C₂×#6157	—	2	1	no	—
872	C₂×#6157	—	2	1	no	—
873	C₂×#6157	—	2	1	no	—
874	C₂×#6157	—	2	1	no	—
875	C₂×#6157	—	2	1	no	—
876	C₂×#6157	—	2	1	no	—
877	C₂×#6157	—	2	1	no	—
878	C₂×#6157	—	2	1	no	—
879	C₂×#6157	—	2	1	no	—
880	C₂×#6157	—	2	1	no	—
881	C₂×#6157	—	2	1	no	—
882	C₂×#6157	—	2	1	no	—
883	C₂×#6157	—	2	1	no	—
884	C₂×#6157	—	2	1	no	—
885	C₂×#6157	—	2	1	no	—
886	C₂×#6157	—	2	1	no	—
887	C₂×#6157	—	2	1	no	—
888	C₂×#6157	—	2	1	no	—
889	C₂×#6157	—	2	1	no	—
890	C₂×#6157	—	4	4	no	—
891	C₂×#6157	—	4	4	no	—
892	C₂×#6157	—	8	2	no	—
893	C₂×#6157	—	8	2	no	—
894	C₂×#6157	—	8	2	no	—
895	C₂×#6157	—	8	2	no	—
896	C₂×#6157	—	8	2	no	—
897	C₂×#6157	—	8	2	no	—
898	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
899	C₂×#6157	H(5,𝔽₂)	1	2	yes	—
900	Q₈×C₅₃	—	4	1	no	—
901	D₄×C₅₃	—	4	1	no	—
902	D₄×C₅₃	—	4	1	no	—
903	D₄×C₅₃	—	4	1	no	—
904	D₄×C₅₃	—	4	1	no	—
905	D₄×C₅₃	—	4	1	no	—
906	D₄×C₅₃	—	4	1	no	—
907	D₄×C₅₃	—	4	1	no	—
908	C₂×C₄×C₅₃	—	4	1	no	—
909	C₂×C₄×C₅₃	—	4	1	no	—
910	C₂×C₄×C₅₃	—	4	1	no	—
911	C₂×C₄×C₅₃	—	4	1	no	—
912	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
913	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
914	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
915	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
916	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
917	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
918	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
919	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
920	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
921	C₂×C₄×C₅₃	C₂³×C₄	1	1	yes	characteristic
922	C₂²⋊D₅₃	—	4	1	no	—
923	C₂²⋊D₅₃	—	4	1	no	—
924	C₂²⋊D₅₃	—	4	1	no	—
925	C₂²⋊D₅₃	—	4	1	no	—
926	C₂²⋊D₅₃	—	4	1	no	—
927	C₂²⋊D₅₃	—	4	1	no	—
928	C₂²⋊D₅₃	—	4	1	no	—
929	C₂²⋊D₅₃	—	4	1	no	—
930	C₂²⋊D₅₃	—	4	1	no	—
931	C₂²⋊D₅₃	—	4	1	no	—
932	C₂²⋊D₅₃	—	4	1	no	—
933	C₂²⋊D₅₃	—	4	1	no	—
934	C₂²⋊D₅₃	—	4	1	no	—
935	C₂²⋊D₅₃	—	4	1	no	—
936	C₂×Dic₅₃	—	4	1	no	—
937	C₂×Dic₅₃	—	4	1	no	—
938	C₂×Dic₅₃	—	4	1	no	—
939	C₂×Dic₅₃	—	4	1	no	—
940	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
941	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
942	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
943	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
944	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
945	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
946	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
947	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
948	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
949	C₂×Dic₅₃	C₂³×C₄	1	1	yes	characteristic
950	D₂₁₂	—	4	1	no	—
951	D₂₁₂	—	4	1	no	—
952	D₂₁₂	—	4	1	no	—
953	D₂₁₂	—	4	1	no	—
954	D₂₁₂	—	4	1	no	—
955	D₂₁₂	—	4	1	no	—
956	D₂₁₂	—	4	1	no	—
957	C₄×D₅₃	—	2	1	no	—
958	C₄×D₅₃	—	2	1	no	—
959	C₄×D₅₃	—	2	1	no	—
960	C₄×D₅₃	—	2	1	no	—
961	C₄×D₅₃	—	2	1	no	—
962	C₄×D₅₃	—	2	1	no	—
963	C₄×D₅₃	—	2	1	no	—
964	C₄×D₅₃	—	2	1	no	—
965	C₄×D₅₃	—	2	1	no	—
966	C₄×D₅₃	—	2	1	no	—
967	C₄×D₅₃	—	2	1	no	—
968	C₄×D₅₃	—	2	1	no	—
969	C₄×D₅₃	—	2	1	no	—
970	C₄×D₅₃	—	2	1	no	—
971	C₄×D₅₃	—	2	1	no	—
972	C₄×D₅₃	—	2	1	no	—
973	C₄×D₅₃	—	2	1	no	—
974	C₄×D₅₃	—	2	1	no	—
975	C₄×D₅₃	—	2	1	no	—
976	C₄×D₅₃	—	2	1	no	—
977	C₄×D₅₃	—	4	1	no	—
978	C₄×D₅₃	—	4	1	no	—
979	C₄×D₅₃	—	4	1	no	—
980	C₄×D₅₃	—	4	1	no	—
981	C₄×D₅₃	—	4	1	no	—
982	C₄×D₅₃	—	4	1	no	—
983	C₄×D₅₃	—	4	1	no	—
984	C₄×D₅₃	—	4	1	no	—
985	Dic₁₀₆	—	4	1	no	—
986	Dic₁₀₆	—	4	1	no	—
987	Dic₁₀₆	—	4	1	no	—
988	#34451	—	53	1	no	maximal, Sylow
989	C₂²×C₅₃	—	2	1	no	—
990	C₂²×C₅₃	—	2	1	no	—
991	C₂²×C₅₃	—	2	1	no	—
992	C₂²×C₅₃	—	2	1	no	—
993	C₂²×C₅₃	—	2	1	no	—
994	C₂²×C₅₃	—	2	1	no	—
995	C₂²×C₅₃	—	2	1	no	—
996	C₂²×C₅₃	—	2	1	no	—
997	C₂²×C₅₃	—	2	1	no	—
998	C₂²×C₅₃	—	2	1	no	—
999	C₂²×C₅₃	—	2	1	no	—
1000	C₂²×C₅₃	—	2	1	no	—
1001	C₂²×C₅₃	—	2	1	no	—
1002	C₂²×C₅₃	—	2	1	no	—
1003	C₂²×C₅₃	—	2	1	no	—
1004	C₂²×C₅₃	—	8	2	no	—
1005	C₂²×C₅₃	C₂⁴×C₄	1	1	yes	characteristic
1006	C₂×D₅₃	—	2	1	no	—
1007	C₂×D₅₃	—	2	1	no	—
1008	C₂×D₅₃	—	2	1	no	—
1009	C₂×D₅₃	—	2	1	no	—
1010	C₂×D₅₃	—	2	1	no	—
1011	C₂×D₅₃	—	2	1	no	—
1012	C₂×D₅₃	—	2	1	no	—
1013	C₂×D₅₃	—	2	1	no	—
1014	C₂×D₅₃	—	2	1	no	—
1015	C₂×D₅₃	—	2	1	no	—
1016	C₂×D₅₃	—	2	1	no	—
1017	C₂×D₅₃	—	2	1	no	—
1018	C₂×D₅₃	—	2	1	no	—
1019	C₂×D₅₃	—	2	1	no	—
1020	C₂×D₅₃	—	2	1	no	—
1021	C₂×D₅₃	—	4	1	no	—
1022	C₂×D₅₃	—	4	1	no	—
1023	C₂×D₅₃	—	4	1	no	—
1024	C₂×D₅₃	—	4	1	no	—
1025	C₂×D₅₃	—	4	1	no	—
1026	C₂×D₅₃	—	4	1	no	—
1027	C₂×D₅₃	—	4	1	no	—
1028	C₂×D₅₃	—	4	1	no	—
1029	C₂×D₅₃	—	4	1	no	—
1030	C₂×D₅₃	—	4	1	no	—
1031	C₂×D₅₃	—	4	1	no	—
1032	C₂×D₅₃	—	4	1	no	—
1033	C₂×D₅₃	—	4	1	no	—
1034	C₂×D₅₃	—	4	1	no	—
1035	C₂×D₅₃	—	4	1	no	—
1036	C₂×D₅₃	—	4	1	no	—
1037	C₂×D₅₃	—	4	1	no	—
1038	C₂×D₅₃	—	4	1	no	—
1039	C₂×D₅₃	—	4	1	no	—
1040	C₂×D₅₃	—	4	1	no	—
1041	C₂×D₅₃	—	8	2	no	—
1042	C₂×D₅₃	—	8	2	no	—
1043	C₂×D₅₃	—	8	2	no	—
1044	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1045	C₂×D₅₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1046	C₂×D₅₃	#585	1	1	yes	characteristic
1047	C₂×D₅₃	#585	1	1	yes	characteristic
1048	C₂×D₅₃	#585	1	1	yes	characteristic
1049	C₂×D₅₃	#585	1	1	yes	characteristic
1050	#6157	—	2	2	no	—
1051	#6157	—	2	2	no	—
1052	#6157	—	4	1	no	—
1053	#6157	—	4	1	no	—
1054	#6157	—	4	1	no	—
1055	#6157	—	4	1	no	—
1056	#6157	—	4	1	no	—
1057	#6157	—	4	1	no	—
1058	#6157	—	4	1	no	—
1059	#6157	—	4	1	no	—
1060	#6157	—	4	1	no	—
1061	#6157	—	4	1	no	—
1062	#6157	—	4	1	no	—
1063	#6157	—	4	1	no	—
1064	#6157	—	4	1	no	—
1065	#6157	—	4	1	no	—
1066	C₄×C₅₃	—	2	1	no	—
1067	C₄×C₅₃	—	2	1	no	—
1068	C₄×C₅₃	—	2	1	no	—
1069	C₄×C₅₃	—	2	1	no	—
1070	C₄×C₅₃	—	2	1	no	—
1071	C₄×C₅₃	—	2	1	no	—
1072	C₄×C₅₃	—	2	1	no	—
1073	C₄×C₅₃	—	2	1	no	—
1074	C₄×C₅₃	—	2	1	no	—
1075	C₄×C₅₃	—	2	1	no	—
1076	Dic₅₃	—	2	1	no	—
1077	Dic₅₃	—	2	1	no	—
1078	Dic₅₃	—	2	1	no	—
1079	Dic₅₃	—	2	1	no	—
1080	Dic₅₃	—	2	1	no	—
1081	Dic₅₃	—	2	1	no	—
1082	Dic₅₃	—	2	1	no	—
1083	Dic₅₃	—	2	1	no	—
1084	Dic₅₃	—	2	1	no	—
1085	Dic₅₃	—	2	1	no	—
1086	C₂×#538	—	53	1	no	—
1087	#2383	—	53	1	no	—
1088	#2378	—	53	1	no	—
1089	#2376	—	53	1	no	—
1090	#2375	—	53	1	no	—
1091	#2373	—	53	1	no	—
1092	#2373	—	53	1	no	—
1093	#2373	—	53	1	no	—
1094	#2372	—	53	1	no	—
1095	#2367	—	53	1	no	—
1096	#2362	—	53	1	no	—
1097	#2359	—	53	1	no	—
1098	#2358	—	53	1	no	—
1099	#2354	—	53	1	no	—
1100	#2353	—	53	1	no	—
1101	#2342	—	53	1	no	—
1102	#2342	—	53	1	no	—
1103	#2337	—	53	1	no	—
1104	#2335	—	53	1	no	—
1105	#2333	—	53	1	no	—
1106	#2333	—	53	1	no	—
1107	#2326	—	53	1	no	—
1108	#2325	—	53	1	no	—
1109	#2324	—	53	1	no	—
1110	#2324	—	53	1	no	—
1111	#2321	—	53	1	no	—
1112	#2321	—	53	1	no	—
1113	#2319	—	53	1	no	—
1114	C₄×#123	—	53	1	no	—
1115	C₄×#121	—	53	1	no	—
1116	#2290	—	53	1	no	—
1117	C₂×C₅₃	—	4	1	no	—
1118	C₂×C₅₃	—	4	1	no	—
1119	C₂×C₅₃	—	4	1	no	—
1120	C₂×C₅₃	—	4	1	no	—
1121	C₂×C₅₃	—	4	1	no	—
1122	C₂×C₅₃	#3428	1	1	yes	characteristic
1123	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1124	C₂×C₅₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1125	D₅₃	—	4	1	no	—
1126	D₅₃	—	4	1	no	—
1127	D₅₃	—	4	1	no	—
1128	D₅₃	—	4	1	no	—
1129	D₅₃	—	4	1	no	—
1130	D₅₃	#3533	1	1	yes	characteristic
1131	D₅₃	#3542	1	1	yes	characteristic
1132	D₅₃	#3551	1	1	yes	characteristic
1133	D₅₃	#3568	1	1	yes	characteristic
1134	#538	—	53	1	no	—
1135	#538	—	53	1	no	—
1136	#538	—	53	1	no	—
1137	#538	—	53	1	no	—
1138	#538	—	53	1	no	—
1139	#538	—	53	1	no	—
1140	#538	—	53	1	no	—
1141	#538	—	53	1	no	—
1142	#538	—	53	1	no	—
1143	#538	—	53	1	no	—
1144	#538	—	53	1	no	—
1145	#538	—	53	1	no	—
1146	#538	—	53	1	no	—
1147	#538	—	53	1	no	—
1148	#538	—	53	1	no	—
1149	#538	#6157	1	1	yes	characteristic, complemented
1150	C₂×#126	—	53	1	no	—
1151	C₂×#126	—	53	1	no	—
1152	C₂×#124	—	53	1	no	—
1153	C₂×#124	—	53	1	no	—
1154	C₂×#123	—	53	1	no	—
1155	C₂×#123	—	53	1	no	—
1156	C₂×C₂²⋊Q₈	—	53	1	no	—
1157	C₂×#121	—	53	1	no	—
1158	C₂×#121	—	53	1	no	—
1159	C₂×#121	—	53	1	no	—
1160	C₂×#120	—	53	1	no	—
1161	C₂×#120	—	53	1	no	—
1162	C₂×C₄×Q₈	—	53	1	no	—
1163	C₂×C₄×D₄	—	53	1	no	—
1164	C₂×C₄×D₄	—	53	1	no	—
1165	C₂×C₄×D₄	—	53	1	no	—
1166	C₂×C₄×D₄	—	53	1	no	—
1167	C₂×C₄×D₄	—	53	1	no	—
1168	C₂×C₄×D₄	—	53	1	no	—
1169	C₂×C₄×D₄	—	53	1	no	—
1170	C₂×#117	—	53	1	no	—
1171	C₂×#117	—	53	1	no	—
1172	C₂×#117	—	53	1	no	—
1173	C₂²×C₂²⋊C₄	—	53	1	no	—
1174	C₂²×C₂²⋊C₄	—	53	1	no	—
1175	C₂²×C₂²⋊C₄	—	53	1	no	—
1176	C₂²×C₄²	—	53	1	no	—
1177	#391	—	53	1	no	—
1178	#391	—	53	1	no	—
1179	#391	—	53	1	no	—
1180	#390	—	53	1	no	—
1181	#390	—	53	1	no	—
1182	#390	—	53	1	no	—
1183	#390	—	53	1	no	—
1184	#390	—	53	1	no	—
1185	#390	—	53	1	no	—
1186	#390	—	53	1	no	—
1187	#390	—	53	1	no	—
1188	#390	—	53	1	no	—
1189	#389	—	53	1	no	—
1190	#389	—	53	1	no	—
1191	#389	—	53	1	no	—
1192	#389	—	53	1	no	—
1193	#389	—	53	1	no	—
1194	#389	—	53	1	no	—
1195	#388	—	53	1	no	—
1196	#388	—	53	1	no	—
1197	#388	—	53	1	no	—
1198	#388	—	53	1	no	—
1199	#388	—	53	1	no	—
1200	#388	—	53	1	no	—
1201	#388	—	53	1	no	—
1202	#388	—	53	1	no	—
1203	#388	—	53	1	no	—
1204	#388	—	53	1	no	—
1205	#388	—	53	1	no	—
1206	#388	—	53	1	no	—
1207	#388	—	53	1	no	—
1208	#388	—	53	1	no	—
1209	#388	—	53	1	no	—
1210	#388	—	53	1	no	—
1211	#388	—	53	1	no	—
1212	#388	—	53	1	no	—
1213	#388	—	53	1	no	—
1214	#388	—	53	1	no	—
1215	#388	—	53	1	no	—
1216	#388	—	53	1	no	—
1217	#388	—	53	1	no	—
1218	#388	—	53	1	no	—
1219	#388	—	53	1	no	—
1220	#388	—	53	1	no	—
1221	#388	—	53	1	no	—
1222	#388	—	53	1	no	—
1223	#388	—	53	1	no	—
1224	#388	—	53	1	no	—
1225	#388	—	53	1	no	—
1226	#388	—	53	1	no	—
1227	#387	—	53	1	no	—
1228	#387	—	53	1	no	—
1229	#387	—	53	1	no	—
1230	#387	—	53	1	no	—
1231	#387	—	53	1	no	—
1232	#387	—	53	1	no	—
1233	#387	—	53	1	no	—
1234	#387	—	53	1	no	—
1235	#387	—	53	1	no	—
1236	#387	—	53	1	no	—
1237	#387	—	53	1	no	—
1238	#387	—	53	1	no	—
1239	#386	—	53	1	no	—
1240	#386	—	53	1	no	—
1241	#386	—	53	1	no	—
1242	#386	—	53	1	no	—
1243	#386	—	53	1	no	—
1244	#386	—	53	1	no	—
1245	#386	—	53	1	no	—
1246	#386	—	53	1	no	—
1247	#386	—	53	1	no	—
1248	#386	—	53	1	no	—
1249	#386	—	53	1	no	—
1250	#386	—	53	1	no	—
1251	#386	—	53	1	no	—
1252	#386	—	53	1	no	—
1253	#385	—	53	1	no	—
1254	#385	—	53	1	no	—
1255	#385	—	53	1	no	—
1256	#385	—	53	1	no	—
1257	#385	—	53	1	no	—
1258	#385	—	53	1	no	—
1259	#385	—	53	1	no	—
1260	#385	—	53	1	no	—
1261	#385	—	53	1	no	—
1262	#385	—	53	1	no	—
1263	#385	—	53	1	no	—
1264	#385	—	53	1	no	—
1265	#384	—	53	1	no	—
1266	#383	—	53	1	no	—
1267	#381	—	53	1	no	—
1268	#381	—	53	1	no	—
1269	#381	—	53	1	no	—
1270	#380	—	53	1	no	—
1271	#380	—	53	1	no	—
1272	#380	—	53	1	no	—
1273	#380	—	53	1	no	—
1274	#380	—	53	1	no	—
1275	#379	—	53	1	no	—
1276	#379	—	53	1	no	—
1277	C₄×C₄⋊C₄	—	53	1	no	—
1278	C₄×C₄⋊C₄	—	53	1	no	—
1279	C₄×C₄⋊C₄	—	53	1	no	—
1280	C₄×C₄⋊C₄	—	53	1	no	—
1281	C₄×C₄⋊C₄	—	53	1	no	—
1282	C₄×C₄⋊C₄	—	53	1	no	—
1283	C₄×C₄⋊C₄	—	53	1	no	—
1284	C₄×C₄⋊C₄	—	53	1	no	—
1285	C₄×C₄⋊C₄	—	53	1	no	—
1286	C₄×C₂²⋊C₄	—	53	1	no	—
1287	C₄×C₂²⋊C₄	—	53	1	no	—
1288	C₄×C₂²⋊C₄	—	53	1	no	—
1289	C₄×C₂²⋊C₄	—	53	1	no	—
1290	C₄×C₂²⋊C₄	—	53	1	no	—
1291	C₄×C₂²⋊C₄	—	53	1	no	—
1292	C₄×C₂²⋊C₄	—	53	1	no	—
1293	C₄×C₂²⋊C₄	—	53	1	no	—
1294	C₄×C₂²⋊C₄	—	53	1	no	—
1295	C₄×C₂²⋊C₄	—	53	1	no	—
1296	C₄×C₂²⋊C₄	—	53	1	no	—
1297	C₄×C₂²⋊C₄	—	53	1	no	—
1298	C₄×C₂²⋊C₄	—	53	1	no	—
1299	C₄×C₂²⋊C₄	—	53	1	no	—
1300	C₄×C₂²⋊C₄	—	53	1	no	—
1301	#376	—	53	1	no	—
1302	#376	—	53	1	no	—
1303	#376	—	53	1	no	—
1304	C₂×#95	—	53	1	no	—
1305	C₅₃	#34451	1	1	yes	characteristic, complemented, Sylow
1306	C₂⁵	—	53	1	no	—
1307	C₂²×Q₈	—	53	1	no	—
1308	C₂²×D₄	—	53	1	no	—
1309	C₂²×D₄	—	53	1	no	—
1310	C₂²×D₄	—	53	1	no	—
1311	C₂²×D₄	—	53	1	no	—
1312	C₂²×D₄	—	53	1	no	—
1313	C₂²×D₄	—	53	1	no	—
1314	C₂²×D₄	—	53	1	no	—
1315	C₂³×C₄	—	53	1	no	—
1316	C₂³×C₄	—	53	1	no	—
1317	C₂³×C₄	—	53	1	no	—
1318	C₂³×C₄	—	53	1	no	—
1319	C₂³×C₄	—	53	1	no	—
1320	C₂³×C₄	—	53	1	no	—
1321	C₂³×C₄	—	53	1	no	—
1322	C₂³×C₄	—	53	1	no	—
1323	C₂³×C₄	—	53	1	no	—
1324	C₂³×C₄	—	53	1	no	—
1325	C₂³×C₄	—	53	1	no	—
1326	C₂³×C₄	—	53	1	no	—
1327	#126	—	53	1	no	—
1328	#126	—	53	1	no	—
1329	#126	—	53	1	no	—
1330	#126	—	53	1	no	—
1331	#126	—	53	1	no	—
1332	#126	—	53	1	no	—
1333	#126	—	53	1	no	—
1334	#126	—	53	1	no	—
1335	#126	—	53	1	no	—
1336	#126	—	53	1	no	—
1337	#126	—	53	1	no	—
1338	#126	—	53	1	no	—
1339	#126	—	53	1	no	—
1340	#126	—	53	1	no	—
1341	#126	C₂×#6157	1	1	yes	characteristic, complemented
1342	#126	C₂×#6157	1	1	yes	characteristic, complemented
1343	#124	—	53	1	no	—
1344	#124	—	53	1	no	—
1345	#124	—	53	1	no	—
1346	#124	—	53	1	no	—
1347	#124	—	53	1	no	—
1348	#124	—	53	1	no	—
1349	#124	—	53	1	no	—
1350	#124	—	53	1	no	—
1351	#124	—	53	1	no	—
1352	#124	—	53	1	no	—
1353	#124	—	53	1	no	—
1354	#124	—	53	1	no	—
1355	#124	—	53	1	no	—
1356	#124	—	53	1	no	—
1357	#124	C₂×#6157	1	1	yes	characteristic, complemented
1358	#124	C₂×#6157	1	1	yes	characteristic, complemented
1359	#123	—	53	1	no	—
1360	#123	—	53	1	no	—
1361	#123	—	53	1	no	—
1362	#123	—	53	1	no	—
1363	#123	—	53	1	no	—
1364	#123	—	53	1	no	—
1365	#123	—	53	1	no	—
1366	#123	—	53	1	no	—
1367	#123	—	53	1	no	—
1368	#123	—	53	1	no	—
1369	#123	—	53	1	no	—
1370	#123	—	53	1	no	—
1371	#123	—	53	1	no	—
1372	#123	—	53	1	no	—
1373	#123	C₂×#6157	1	1	yes	characteristic, complemented
1374	#123	C₂×#6157	1	1	yes	characteristic, complemented
1375	C₂²⋊Q₈	—	53	1	no	—
1376	C₂²⋊Q₈	—	53	1	no	—
1377	C₂²⋊Q₈	—	53	1	no	—
1378	C₂²⋊Q₈	—	53	1	no	—
1379	C₂²⋊Q₈	—	53	1	no	—
1380	C₂²⋊Q₈	—	53	1	no	—
1381	C₂²⋊Q₈	—	53	1	no	—
1382	C₂²⋊Q₈	C₂×#6157	1	1	yes	characteristic, complemented
1383	#121	—	53	1	no	—
1384	#121	—	53	1	no	—
1385	#121	—	53	1	no	—
1386	#121	—	53	1	no	—
1387	#121	—	53	1	no	—
1388	#121	—	53	1	no	—
1389	#121	—	53	1	no	—
1390	#121	—	53	1	no	—
1391	#121	—	53	1	no	—
1392	#121	—	53	1	no	—
1393	#121	—	53	1	no	—
1394	#121	—	53	1	no	—
1395	#121	—	53	1	no	—
1396	#121	—	53	1	no	—
1397	#121	—	53	1	no	—
1398	#121	—	53	1	no	—
1399	#121	—	53	1	no	—
1400	#121	—	53	1	no	—
1401	#121	—	53	1	no	—
1402	#121	—	53	1	no	—
1403	#121	—	53	1	no	—
1404	#121	C₂×#6157	1	1	yes	characteristic, complemented
1405	#121	C₂×#6157	1	1	yes	characteristic, complemented
1406	#121	C₂×#6157	1	1	yes	characteristic, complemented
1407	#120	—	53	1	no	—
1408	#120	—	53	1	no	—
1409	#120	—	53	1	no	—
1410	#120	—	53	1	no	—
1411	#120	—	53	1	no	—
1412	#120	—	53	1	no	—
1413	#120	—	53	1	no	—
1414	#120	—	53	1	no	—
1415	#120	—	53	1	no	—
1416	#120	—	53	1	no	—
1417	#120	—	53	1	no	—
1418	#120	—	53	1	no	—
1419	#120	—	53	1	no	—
1420	#120	—	53	1	no	—
1421	#120	C₂×#6157	1	1	yes	characteristic, complemented
1422	#120	C₂×#6157	1	1	yes	characteristic, complemented
1423	C₄×Q₈	—	212	2	no	—
1424	C₄×D₄	—	53	1	no	—
1425	C₄×D₄	—	53	1	no	—
1426	C₄×D₄	—	53	1	no	—
1427	C₄×D₄	—	53	1	no	—
1428	C₄×D₄	—	53	1	no	—
1429	C₄×D₄	—	53	1	no	—
1430	C₄×D₄	—	53	1	no	—
1431	C₄×D₄	—	53	1	no	—
1432	C₄×D₄	—	53	1	no	—
1433	C₄×D₄	—	53	1	no	—
1434	C₄×D₄	—	53	1	no	—
1435	C₄×D₄	—	53	1	no	—
1436	C₄×D₄	—	53	1	no	—
1437	C₄×D₄	—	53	1	no	—
1438	C₄×D₄	—	212	2	no	—
1439	C₄×D₄	—	212	2	no	—
1440	C₄×D₄	—	212	2	no	—
1441	C₄×D₄	—	212	2	no	—
1442	C₄×D₄	—	212	2	no	—
1443	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1444	C₄×D₄	C₂×#6157	1	1	yes	characteristic, complemented
1445	#117	—	212	2	no	—
1446	#117	—	212	2	no	—
1447	#117	—	212	2	no	—
1448	C₂×C₄⋊C₄	—	53	1	no	—
1449	C₂×C₄⋊C₄	—	53	1	no	—
1450	C₂×C₄⋊C₄	—	53	1	no	—
1451	C₂×C₄⋊C₄	—	53	1	no	—
1452	C₂×C₄⋊C₄	—	53	1	no	—
1453	C₂×C₄⋊C₄	—	53	1	no	—
1454	C₂×C₄⋊C₄	—	53	1	no	—
1455	C₂×C₄⋊C₄	—	53	1	no	—
1456	C₂×C₄⋊C₄	—	53	1	no	—
1457	C₂×C₄⋊C₄	—	53	1	no	—
1458	C₂×C₄⋊C₄	—	53	1	no	—
1459	C₂×C₄⋊C₄	—	53	1	no	—
1460	C₂×C₄⋊C₄	—	53	1	no	—
1461	C₂×C₄⋊C₄	—	53	1	no	—
1462	C₂×C₄⋊C₄	—	53	1	no	—
1463	C₂×C₄⋊C₄	—	53	1	no	—
1464	C₂×C₄⋊C₄	—	53	1	no	—
1465	C₂×C₄⋊C₄	—	53	1	no	—
1466	C₂×C₄⋊C₄	—	53	1	no	—
1467	C₂×C₄⋊C₄	—	53	1	no	—
1468	C₂×C₄⋊C₄	—	53	1	no	—
1469	C₂×C₄⋊C₄	—	53	1	no	—
1470	C₂×C₄⋊C₄	—	53	1	no	—
1471	C₂×C₄⋊C₄	—	53	1	no	—
1472	C₂×C₄⋊C₄	—	53	1	no	—
1473	C₂×C₄⋊C₄	—	53	1	no	—
1474	C₂×C₂²⋊C₄	—	53	1	no	—
1475	C₂×C₂²⋊C₄	—	53	1	no	—
1476	C₂×C₂²⋊C₄	—	53	1	no	—
1477	C₂×C₂²⋊C₄	—	53	1	no	—
1478	C₂×C₂²⋊C₄	—	53	1	no	—
1479	C₂×C₂²⋊C₄	—	53	1	no	—
1480	C₂×C₂²⋊C₄	—	53	1	no	—
1481	C₂×C₂²⋊C₄	—	53	1	no	—
1482	C₂×C₂²⋊C₄	—	53	1	no	—
1483	C₂×C₂²⋊C₄	—	53	1	no	—
1484	C₂×C₂²⋊C₄	—	53	1	no	—
1485	C₂×C₂²⋊C₄	—	53	1	no	—
1486	C₂×C₂²⋊C₄	—	53	1	no	—
1487	C₂×C₂²⋊C₄	—	53	1	no	—
1488	C₂×C₂²⋊C₄	—	53	1	no	—
1489	C₂×C₂²⋊C₄	—	53	1	no	—
1490	C₂×C₂²⋊C₄	—	53	1	no	—
1491	C₂×C₂²⋊C₄	—	53	1	no	—
1492	C₂×C₂²⋊C₄	—	53	1	no	—
1493	C₂×C₂²⋊C₄	—	53	1	no	—
1494	C₂×C₂²⋊C₄	—	53	1	no	—
1495	C₂×C₂²⋊C₄	—	53	1	no	—
1496	C₂×C₂²⋊C₄	—	53	1	no	—
1497	C₂×C₂²⋊C₄	—	53	1	no	—
1498	C₂×C₂²⋊C₄	—	53	1	no	—
1499	C₂×C₂²⋊C₄	—	53	1	no	—
1500	C₂×C₂²⋊C₄	—	53	1	no	—
1501	C₂×C₂²⋊C₄	—	53	1	no	—
1502	C₂×C₂²⋊C₄	—	53	1	no	—
1503	C₂×C₂²⋊C₄	—	53	1	no	—
1504	C₂×C₂²⋊C₄	—	53	1	no	—
1505	C₂×C₂²⋊C₄	—	53	1	no	—
1506	C₂×C₂²⋊C₄	—	53	1	no	—
1507	C₂×C₂²⋊C₄	—	53	1	no	—
1508	C₂×C₂²⋊C₄	—	53	1	no	—
1509	C₂×C₂²⋊C₄	—	53	1	no	—
1510	C₂×C₂²⋊C₄	—	53	1	no	—
1511	C₂×C₂²⋊C₄	—	53	1	no	—
1512	C₂×C₂²⋊C₄	—	53	1	no	—
1513	C₂×C₂²⋊C₄	—	53	1	no	—
1514	C₂×C₂²⋊C₄	—	53	1	no	—
1515	C₂×C₂²⋊C₄	—	53	1	no	—
1516	C₂×C₂²⋊C₄	—	53	1	no	—
1517	C₂×C₂²⋊C₄	—	53	1	no	—
1518	C₂×C₂²⋊C₄	—	53	1	no	—
1519	C₂×C₂²⋊C₄	—	53	1	no	—
1520	C₂×C₂²⋊C₄	—	53	1	no	—
1521	C₂×C₂²⋊C₄	—	53	1	no	—
1522	C₂×C₂²⋊C₄	—	53	1	no	—
1523	C₂×C₂²⋊C₄	—	53	1	no	—
1524	C₂×C₂²⋊C₄	—	53	1	no	—
1525	C₂×C₂²⋊C₄	—	53	1	no	—
1526	C₂×C₂²⋊C₄	—	53	1	no	—
1527	C₂×C₂²⋊C₄	—	212	2	no	—
1528	C₂×C₂²⋊C₄	—	212	2	no	—
1529	C₂×C₂²⋊C₄	C₂×#6157	1	1	yes	characteristic, complemented
1530	C₂×C₄²	—	53	1	no	—
1531	C₂×C₄²	—	53	1	no	—
1532	C₂×C₄²	—	53	1	no	—
1533	C₂×C₄²	—	53	1	no	—
1534	C₂×C₄²	—	53	1	no	—
1535	C₂×C₄²	—	53	1	no	—
1536	C₂×C₄²	—	53	1	no	—
1537	C₂×C₄²	—	53	1	no	—
1538	C₂×C₄²	—	53	1	no	—
1539	C₂×C₄²	—	53	1	no	—
1540	C₂×C₄²	—	53	1	no	—
1541	C₂×C₄²	—	53	1	no	—
1542	C₂×C₄²	—	53	1	no	—
1543	C₂×C₄²	—	53	1	no	—
1544	C₂×C₄²	—	53	1	no	—
1545	C₂×C₄²	—	53	1	no	—
1546	C₂×C₄²	—	53	1	no	—
1547	C₂×C₄²	—	53	1	no	—
1548	C₂×C₄²	—	53	1	no	—
1549	C₂×C₄²	—	53	1	no	—
1550	C₂×C₄²	—	53	1	no	—
1551	C₂×C₄²	—	53	1	no	—
1552	C₂×C₄²	—	212	2	no	—
1553	#95	—	53	1	no	—
1554	#95	—	53	1	no	—
1555	#95	—	53	1	no	—
1556	#95	—	53	1	no	—
1557	#95	—	53	1	no	—
1558	#95	—	53	1	no	—
1559	#95	—	53	1	no	—
1560	#95	—	53	1	no	—
1561	#95	—	53	1	no	—
1562	#95	—	53	1	no	—
1563	#95	—	53	1	no	—
1564	#95	—	53	1	no	—
1565	#95	—	53	1	no	—
1566	#95	—	53	1	no	—
1567	#95	—	53	1	no	—
1568	#95	—	53	1	no	—
1569	#95	—	53	1	no	—
1570	#95	—	53	1	no	—
1571	#95	—	53	1	no	—
1572	#95	—	53	1	no	—
1573	#95	—	53	1	no	—
1574	#95	—	53	1	no	—
1575	#95	—	53	1	no	—
1576	#95	—	53	1	no	—
1577	#95	—	53	1	no	—
1578	#95	—	53	1	no	—
1579	#95	—	53	1	no	—
1580	#95	—	53	1	no	—
1581	#95	—	53	1	no	—
1582	#95	—	53	1	no	—
1583	#95	—	53	1	no	—
1584	#95	—	53	1	no	—
1585	#95	—	53	1	no	—
1586	#95	—	53	1	no	—
1587	#95	—	53	1	no	—
1588	#95	—	53	1	no	—
1589	#95	—	53	1	no	—
1590	#95	—	53	1	no	—
1591	#95	—	53	1	no	—
1592	#95	—	53	1	no	—
1593	C₂⁴	—	53	1	no	—
1594	C₂⁴	—	53	1	no	—
1595	C₂⁴	—	53	1	no	—
1596	C₂⁴	—	53	1	no	—
1597	C₂⁴	—	53	1	no	—
1598	C₂⁴	—	53	1	no	—
1599	C₂⁴	—	53	1	no	—
1600	C₂⁴	—	53	1	no	—
1601	C₂⁴	—	212	1	no	—
1602	C₂⁴	—	212	1	no	—
1603	C₂⁴	—	212	1	no	—
1604	C₂⁴	—	212	1	no	—
1605	C₂⁴	—	212	1	no	—
1606	C₂⁴	—	212	1	no	—
1607	C₂⁴	C₂²×#6157	1	1	yes	characteristic
1608	C₂×Q₈	—	53	1	no	—
1609	C₂×Q₈	—	53	1	no	—
1610	C₂×Q₈	—	53	1	no	—
1611	C₂×Q₈	—	212	1	no	—
1612	C₂×Q₈	—	212	1	no	—
1613	C₂×Q₈	C₂²×#6157	1	1	yes	characteristic
1614	C₂×D₄	—	53	1	no	—
1615	C₂×D₄	—	53	1	no	—
1616	C₂×D₄	—	53	1	no	—
1617	C₂×D₄	—	53	1	no	—
1618	C₂×D₄	—	53	1	no	—
1619	C₂×D₄	—	53	1	no	—
1620	C₂×D₄	—	53	1	no	—
1621	C₂×D₄	—	53	1	no	—
1622	C₂×D₄	—	53	1	no	—
1623	C₂×D₄	—	53	1	no	—
1624	C₂×D₄	—	53	1	no	—
1625	C₂×D₄	—	53	1	no	—
1626	C₂×D₄	—	53	1	no	—
1627	C₂×D₄	—	53	1	no	—
1628	C₂×D₄	—	53	1	no	—
1629	C₂×D₄	—	53	1	no	—
1630	C₂×D₄	—	53	1	no	—
1631	C₂×D₄	—	53	1	no	—
1632	C₂×D₄	—	53	1	no	—
1633	C₂×D₄	—	53	1	no	—
1634	C₂×D₄	—	53	1	no	—
1635	C₂×D₄	—	212	1	no	—
1636	C₂×D₄	—	212	1	no	—
1637	C₂×D₄	—	212	1	no	—
1638	C₂×D₄	—	212	1	no	—
1639	C₂×D₄	—	212	1	no	—
1640	C₂×D₄	—	212	1	no	—
1641	C₂×D₄	—	212	1	no	—
1642	C₂×D₄	—	212	1	no	—
1643	C₂×D₄	—	212	1	no	—
1644	C₂×D₄	—	212	1	no	—
1645	C₂×D₄	—	212	1	no	—
1646	C₂×D₄	—	212	1	no	—
1647	C₂×D₄	—	212	1	no	—
1648	C₂×D₄	—	212	1	no	—
1649	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1650	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1651	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1652	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1653	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1654	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1655	C₂×D₄	C₂²×#6157	1	1	yes	characteristic
1656	C₂²×C₄	—	53	1	no	—
1657	C₂²×C₄	—	53	1	no	—
1658	C₂²×C₄	—	53	1	no	—
1659	C₂²×C₄	—	53	1	no	—
1660	C₂²×C₄	—	53	1	no	—
1661	C₂²×C₄	—	53	1	no	—
1662	C₂²×C₄	—	53	1	no	—
1663	C₂²×C₄	—	53	1	no	—
1664	C₂²×C₄	—	53	1	no	—
1665	C₂²×C₄	—	53	1	no	—
1666	C₂²×C₄	—	53	1	no	—
1667	C₂²×C₄	—	53	1	no	—
1668	C₂²×C₄	—	53	1	no	—
1669	C₂²×C₄	—	53	1	no	—
1670	C₂²×C₄	—	53	1	no	—
1671	C₂²×C₄	—	53	1	no	—
1672	C₂²×C₄	—	53	1	no	—
1673	C₂²×C₄	—	53	1	no	—
1674	C₂²×C₄	—	53	1	no	—
1675	C₂²×C₄	—	53	1	no	—
1676	C₂²×C₄	—	53	1	no	—
1677	C₂²×C₄	—	53	1	no	—
1678	C₂²×C₄	—	53	1	no	—
1679	C₂²×C₄	—	53	1	no	—
1680	C₂²×C₄	—	53	1	no	—
1681	C₂²×C₄	—	53	1	no	—
1682	C₂²×C₄	—	53	1	no	—
1683	C₂²×C₄	—	53	1	no	—
1684	C₂²×C₄	—	53	1	no	—
1685	C₂²×C₄	—	53	1	no	—
1686	C₂²×C₄	—	53	1	no	—
1687	C₂²×C₄	—	53	1	no	—
1688	C₂²×C₄	—	53	1	no	—
1689	C₂²×C₄	—	53	1	no	—
1690	C₂²×C₄	—	53	1	no	—
1691	C₂²×C₄	—	53	1	no	—
1692	C₂²×C₄	—	53	1	no	—
1693	C₂²×C₄	—	53	1	no	—
1694	C₂²×C₄	—	106	2	no	—
1695	C₂²×C₄	—	106	2	no	—
1696	C₂²×C₄	—	106	2	no	—
1697	C₂²×C₄	—	106	2	no	—
1698	C₂²×C₄	—	106	2	no	—
1699	C₂²×C₄	—	212	1	no	—
1700	C₂²×C₄	—	212	1	no	—
1701	C₂²×C₄	—	212	1	no	—
1702	C₂²×C₄	—	212	1	no	—
1703	C₂²×C₄	—	212	1	no	—
1704	C₂²×C₄	—	212	1	no	—
1705	C₂²×C₄	—	212	1	no	—
1706	C₂²×C₄	—	212	1	no	—
1707	C₂²×C₄	—	212	1	no	—
1708	C₂²×C₄	—	212	1	no	—
1709	C₂²×C₄	—	212	1	no	—
1710	C₂²×C₄	—	212	1	no	—
1711	C₂²×C₄	—	212	1	no	—
1712	C₂²×C₄	—	212	1	no	—
1713	C₂²×C₄	—	212	1	no	—
1714	C₂²×C₄	—	212	1	no	—
1715	C₂²×C₄	—	212	1	no	—
1716	C₂²×C₄	—	212	1	no	—
1717	C₂²×C₄	—	212	1	no	—
1718	C₂²×C₄	—	212	1	no	—
1719	C₂²×C₄	—	212	1	no	—
1720	C₂²×C₄	—	212	1	no	—
1721	C₂²×C₄	—	212	1	no	—
1722	C₂²×C₄	—	212	1	no	—
1723	C₂²×C₄	—	212	1	no	—
1724	C₂²×C₄	—	212	1	no	—
1725	C₂²×C₄	—	212	1	no	—
1726	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1727	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1728	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1729	C₂²×C₄	C₂²×#6157	1	1	yes	characteristic
1730	C₄⋊C₄	—	53	1	no	—
1731	C₄⋊C₄	—	53	1	no	—
1732	C₄⋊C₄	—	53	1	no	—
1733	C₄⋊C₄	—	53	1	no	—
1734	C₄⋊C₄	—	53	1	no	—
1735	C₄⋊C₄	—	53	1	no	—
1736	C₄⋊C₄	—	53	1	no	—
1737	C₄⋊C₄	—	53	1	no	—
1738	C₄⋊C₄	—	53	1	no	—
1739	C₄⋊C₄	—	53	1	no	—
1740	C₄⋊C₄	—	53	1	no	—
1741	C₄⋊C₄	—	53	1	no	—
1742	C₄⋊C₄	—	53	1	no	—
1743	C₄⋊C₄	—	53	1	no	—
1744	C₄⋊C₄	—	53	1	no	—
1745	C₄⋊C₄	—	53	1	no	—
1746	C₄⋊C₄	—	53	1	no	—
1747	C₄⋊C₄	—	53	1	no	—
1748	C₄⋊C₄	—	106	2	no	—
1749	C₄⋊C₄	—	106	2	no	—
1750	C₄⋊C₄	—	106	2	no	—
1751	C₄⋊C₄	—	212	1	no	—
1752	C₄⋊C₄	—	212	1	no	—
1753	C₄⋊C₄	—	212	1	no	—
1754	C₄⋊C₄	—	212	1	no	—
1755	C₄⋊C₄	—	212	1	no	—
1756	C₄⋊C₄	—	212	1	no	—
1757	C₄⋊C₄	—	212	1	no	—
1758	C₄⋊C₄	—	212	1	no	—
1759	C₄⋊C₄	—	212	1	no	—
1760	C₄⋊C₄	—	212	1	no	—
1761	C₄⋊C₄	—	212	1	no	—
1762	C₄⋊C₄	—	212	1	no	—
1763	C₄⋊C₄	—	212	1	no	—
1764	C₄⋊C₄	—	212	1	no	—
1765	C₄⋊C₄	—	212	1	no	—
1766	C₄⋊C₄	—	212	1	no	—
1767	C₄⋊C₄	—	212	1	no	—
1768	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1769	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1770	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1771	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1772	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1773	C₄⋊C₄	C₂²×#6157	1	1	yes	characteristic
1774	C₂²⋊C₄	—	53	1	no	—
1775	C₂²⋊C₄	—	53	1	no	—
1776	C₂²⋊C₄	—	53	1	no	—
1777	C₂²⋊C₄	—	53	1	no	—
1778	C₂²⋊C₄	—	53	1	no	—
1779	C₂²⋊C₄	—	53	1	no	—
1780	C₂²⋊C₄	—	53	1	no	—
1781	C₂²⋊C₄	—	53	1	no	—
1782	C₂²⋊C₄	—	53	1	no	—
1783	C₂²⋊C₄	—	53	1	no	—
1784	C₂²⋊C₄	—	53	1	no	—
1785	C₂²⋊C₄	—	53	1	no	—
1786	C₂²⋊C₄	—	53	1	no	—
1787	C₂²⋊C₄	—	53	1	no	—
1788	C₂²⋊C₄	—	53	1	no	—
1789	C₂²⋊C₄	—	53	1	no	—
1790	C₂²⋊C₄	—	53	1	no	—
1791	C₂²⋊C₄	—	53	1	no	—
1792	C₂²⋊C₄	—	53	1	no	—
1793	C₂²⋊C₄	—	53	1	no	—
1794	C₂²⋊C₄	—	53	1	no	—
1795	C₂²⋊C₄	—	53	1	no	—
1796	C₂²⋊C₄	—	53	1	no	—
1797	C₂²⋊C₄	—	53	1	no	—
1798	C₂²⋊C₄	—	53	1	no	—
1799	C₂²⋊C₄	—	53	1	no	—
1800	C₂²⋊C₄	—	53	1	no	—
1801	C₂²⋊C₄	—	53	1	no	—
1802	C₂²⋊C₄	—	53	1	no	—
1803	C₂²⋊C₄	—	53	1	no	—
1804	C₂²⋊C₄	—	53	1	no	—
1805	C₂²⋊C₄	—	53	1	no	—
1806	C₂²⋊C₄	—	53	1	no	—
1807	C₂²⋊C₄	—	53	1	no	—
1808	C₂²⋊C₄	—	53	1	no	—
1809	C₂²⋊C₄	—	53	1	no	—
1810	C₂²⋊C₄	—	53	1	no	—
1811	C₂²⋊C₄	—	53	1	no	—
1812	C₂²⋊C₄	—	53	1	no	—
1813	C₂²⋊C₄	—	53	1	no	—
1814	C₂²⋊C₄	—	53	1	no	—
1815	C₂²⋊C₄	—	53	1	no	—
1816	C₂²⋊C₄	—	106	2	no	—
1817	C₂²⋊C₄	—	106	2	no	—
1818	C₂²⋊C₄	—	106	2	no	—
1819	C₂²⋊C₄	—	106	2	no	—
1820	C₂²⋊C₄	—	106	2	no	—
1821	C₂²⋊C₄	—	212	1	no	—
1822	C₂²⋊C₄	—	212	1	no	—
1823	C₂²⋊C₄	—	212	1	no	—
1824	C₂²⋊C₄	—	212	1	no	—
1825	C₂²⋊C₄	—	212	1	no	—
1826	C₂²⋊C₄	—	212	1	no	—
1827	C₂²⋊C₄	—	212	1	no	—
1828	C₂²⋊C₄	—	212	1	no	—
1829	C₂²⋊C₄	—	212	1	no	—
1830	C₂²⋊C₄	—	212	1	no	—
1831	C₂²⋊C₄	—	212	1	no	—
1832	C₂²⋊C₄	—	212	1	no	—
1833	C₂²⋊C₄	—	212	1	no	—
1834	C₂²⋊C₄	—	212	1	no	—
1835	C₂²⋊C₄	—	212	1	no	—
1836	C₂²⋊C₄	—	212	1	no	—
1837	C₂²⋊C₄	—	212	1	no	—
1838	C₂²⋊C₄	—	212	1	no	—
1839	C₂²⋊C₄	—	212	1	no	—
1840	C₂²⋊C₄	—	212	1	no	—
1841	C₂²⋊C₄	—	212	1	no	—
1842	C₂²⋊C₄	—	212	1	no	—
1843	C₂²⋊C₄	—	212	1	no	—
1844	C₂²⋊C₄	—	212	1	no	—
1845	C₂²⋊C₄	—	212	1	no	—
1846	C₂²⋊C₄	—	212	1	no	—
1847	C₂²⋊C₄	—	212	1	no	—
1848	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1849	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1850	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1851	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1852	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1853	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1854	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1855	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1856	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1857	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1858	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1859	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1860	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1861	C₂²⋊C₄	C₂²×#6157	1	1	yes	characteristic
1862	C₄²	—	53	1	no	—
1863	C₄²	—	53	1	no	—
1864	C₄²	—	53	1	no	—
1865	C₄²	—	53	1	no	—
1866	C₄²	—	53	1	no	—
1867	C₄²	—	53	1	no	—
1868	C₄²	—	106	2	no	—
1869	C₄²	—	106	2	no	—
1870	C₄²	—	106	2	no	—
1871	C₄²	—	106	2	no	—
1872	C₄²	—	106	2	no	—
1873	C₄²	—	212	1	no	—
1874	C₄²	—	212	1	no	—
1875	C₄²	—	212	1	no	—
1876	C₄²	—	212	1	no	—
1877	C₄²	—	212	1	no	—
1878	C₄²	—	212	1	no	—
1879	C₄²	—	212	1	no	—
1880	C₄²	—	212	1	no	—
1881	C₄²	—	212	1	no	—
1882	C₄²	—	212	1	no	—
1883	C₄²	—	212	1	no	—
1884	C₄²	—	212	1	no	—
1885	C₄²	—	212	1	no	—
1886	C₄²	—	212	1	no	—
1887	C₄²	—	212	1	no	—
1888	C₄²	C₂²×#6157	1	1	yes	characteristic
1889	C₄²	C₂²×#6157	1	1	yes	characteristic
1890	C₂³	—	4	1	no	—
1891	C₂³	—	4	1	no	—
1892	C₂³	—	4	1	no	—
1893	C₂³	—	53	1	no	—
1894	C₂³	—	53	1	no	—
1895	C₂³	—	53	1	no	—
1896	C₂³	—	53	1	no	—
1897	C₂³	—	53	1	no	—
1898	C₂³	—	53	1	no	—
1899	C₂³	—	106	1	no	—
1900	C₂³	—	106	1	no	—
1901	C₂³	—	106	1	no	—
1902	C₂³	—	106	1	no	—
1903	C₂³	—	106	1	no	—
1904	C₂³	—	106	1	no	—
1905	C₂³	—	106	1	no	—
1906	C₂³	—	106	1	no	—
1907	C₂³	—	106	1	no	—
1908	C₂³	—	106	1	no	—
1909	C₂³	—	106	1	no	—
1910	C₂³	—	106	1	no	—
1911	C₂³	—	106	1	no	—
1912	C₂³	—	106	1	no	—
1913	C₂³	—	106	1	no	—
1914	C₂³	—	106	1	no	—
1915	C₂³	—	106	1	no	—
1916	C₂³	—	106	1	no	—
1917	C₂³	—	106	1	no	—
1918	C₂³	—	106	1	no	—
1919	C₂³	—	106	1	no	—
1920	C₂³	—	106	1	no	—
1921	C₂³	—	106	1	no	—
1922	C₂³	—	106	1	no	—
1923	C₂³	—	106	1	no	—
1924	C₂³	—	106	1	no	—
1925	C₂³	—	106	1	no	—
1926	C₂³	—	106	1	no	—
1927	C₂³	—	106	1	no	—
1928	C₂³	—	106	1	no	—
1929	C₂³	—	424	2	no	—
1930	C₂³	—	424	2	no	—
1931	C₂³	—	424	2	no	—
1932	C₂³	—	424	2	no	—
1933	C₂³	—	212	1	no	—
1934	C₂³	—	212	1	no	—
1935	C₂³	—	212	1	no	—
1936	C₂³	—	212	1	no	—
1937	C₂³	—	212	1	no	—
1938	C₂³	—	212	1	no	—
1939	C₂³	—	212	1	no	—
1940	C₂³	—	212	1	no	—
1941	C₂³	—	212	1	no	—
1942	C₂³	C₂³×#6157	1	1	yes	characteristic
1943	C₂³	C₂³×#6157	1	1	yes	characteristic
1944	C₂³	C₂³×#6157	1	1	yes	characteristic
1945	C₂³	C₂³×#6157	1	1	yes	characteristic
1946	C₂³	C₂³×#6157	1	1	yes	characteristic
1947	Q₈	—	4	1	no	—
1948	Q₈	—	212	1	no	—
1949	Q₈	—	212	1	no	—
1950	Q₈	—	212	1	no	—
1951	D₄	—	4	1	no	—
1952	D₄	—	4	1	no	—
1953	D₄	—	4	1	no	—
1954	D₄	—	4	1	no	—
1955	D₄	—	4	1	no	—
1956	D₄	—	4	1	no	—
1957	D₄	—	4	1	no	—
1958	D₄	—	212	1	no	—
1959	D₄	—	212	1	no	—
1960	D₄	—	212	1	no	—
1961	D₄	—	212	1	no	—
1962	D₄	—	212	1	no	—
1963	D₄	—	212	1	no	—
1964	D₄	—	212	1	no	—
1965	D₄	—	212	1	no	—
1966	D₄	—	212	1	no	—
1967	D₄	—	212	1	no	—
1968	D₄	—	212	1	no	—
1969	D₄	—	212	1	no	—
1970	D₄	—	212	1	no	—
1971	D₄	—	212	1	no	—
1972	D₄	—	212	1	no	—
1973	D₄	—	212	1	no	—
1974	D₄	—	212	1	no	—
1975	D₄	—	212	1	no	—
1976	D₄	—	212	1	no	—
1977	D₄	—	212	1	no	—
1978	D₄	—	212	1	no	—
1979	C₂×C₄	—	4	1	no	—
1980	C₂×C₄	—	4	1	no	—
1981	C₂×C₄	—	4	1	no	—
1982	C₂×C₄	—	4	1	no	—
1983	C₂×C₄	—	53	2	no	—
1984	C₂×C₄	—	53	2	no	—
1985	C₂×C₄	—	53	1	no	—
1986	C₂×C₄	—	53	1	no	—
1987	C₂×C₄	—	53	1	no	—
1988	C₂×C₄	—	53	1	no	—
1989	C₂×C₄	—	53	1	no	—
1990	C₂×C₄	—	53	1	no	—
1991	C₂×C₄	—	53	1	no	—
1992	C₂×C₄	—	53	1	no	—
1993	C₂×C₄	—	53	1	no	—
1994	C₂×C₄	—	53	1	no	—
1995	C₂×C₄	—	106	1	no	—
1996	C₂×C₄	—	106	1	no	—
1997	C₂×C₄	—	106	1	no	—
1998	C₂×C₄	—	106	1	no	—
1999	C₂×C₄	—	106	1	no	—
2000	C₂×C₄	—	106	1	no	—
2001	C₂×C₄	—	106	1	no	—
2002	C₂×C₄	—	106	1	no	—
2003	C₂×C₄	—	106	1	no	—
2004	C₂×C₄	—	106	1	no	—
2005	C₂×C₄	—	106	1	no	—
2006	C₂×C₄	—	106	1	no	—
2007	C₂×C₄	—	106	1	no	—
2008	C₂×C₄	—	106	1	no	—
2009	C₂×C₄	—	106	1	no	—
2010	C₂×C₄	—	106	1	no	—
2011	C₂×C₄	—	106	1	no	—
2012	C₂×C₄	—	106	1	no	—
2013	C₂×C₄	—	106	1	no	—
2014	C₂×C₄	—	106	1	no	—
2015	C₂×C₄	—	106	1	no	—
2016	C₂×C₄	—	106	1	no	—
2017	C₂×C₄	—	106	1	no	—
2018	C₂×C₄	—	106	1	no	—
2019	C₂×C₄	—	106	1	no	—
2020	C₂×C₄	—	106	1	no	—
2021	C₂×C₄	—	106	1	no	—
2022	C₂×C₄	—	106	1	no	—
2023	C₂×C₄	—	106	1	no	—
2024	C₂×C₄	—	106	1	no	—
2025	C₂×C₄	—	106	1	no	—
2026	C₂×C₄	—	106	1	no	—
2027	C₂×C₄	—	106	1	no	—
2028	C₂×C₄	—	106	1	no	—
2029	C₂×C₄	—	106	1	no	—
2030	C₂×C₄	—	106	1	no	—
2031	C₂×C₄	—	106	1	no	—
2032	C₂×C₄	—	106	1	no	—
2033	C₂×C₄	—	106	1	no	—
2034	C₂×C₄	—	106	1	no	—
2035	C₂×C₄	—	106	1	no	—
2036	C₂×C₄	—	106	1	no	—
2037	C₂×C₄	—	106	1	no	—
2038	C₂×C₄	—	106	1	no	—
2039	C₂×C₄	—	106	1	no	—
2040	C₂×C₄	—	106	1	no	—
2041	C₂×C₄	—	106	1	no	—
2042	C₂×C₄	—	106	1	no	—
2043	C₂×C₄	—	106	1	no	—
2044	C₂×C₄	—	106	1	no	—
2045	C₂×C₄	—	106	1	no	—
2046	C₂×C₄	—	106	1	no	—
2047	C₂×C₄	—	106	1	no	—
2048	C₂×C₄	—	106	1	no	—
2049	C₂×C₄	—	106	1	no	—
2050	C₂×C₄	—	106	1	no	—
2051	C₂×C₄	—	106	1	no	—
2052	C₂×C₄	—	106	1	no	—
2053	C₂×C₄	—	106	1	no	—
2054	C₂×C₄	—	106	1	no	—
2055	C₂×C₄	—	106	1	no	—
2056	C₂×C₄	—	106	1	no	—
2057	C₂×C₄	—	106	1	no	—
2058	C₂×C₄	—	106	1	no	—
2059	C₂×C₄	—	106	1	no	—
2060	C₂×C₄	—	106	1	no	—
2061	C₂×C₄	—	424	2	no	—
2062	C₂×C₄	—	424	2	no	—
2063	C₂×C₄	—	424	2	no	—
2064	C₂×C₄	—	424	2	no	—
2065	C₂×C₄	—	424	2	no	—
2066	C₂×C₄	—	424	2	no	—
2067	C₂×C₄	—	212	1	no	—
2068	C₂×C₄	—	212	1	no	—
2069	C₂×C₄	—	212	1	no	—
2070	C₂×C₄	—	212	1	no	—
2071	C₂×C₄	—	212	1	no	—
2072	C₂×C₄	—	212	1	no	—
2073	C₂×C₄	—	212	1	no	—
2074	C₂×C₄	—	212	1	no	—
2075	C₂×C₄	—	212	1	no	—
2076	C₂×C₄	—	212	1	no	—
2077	C₂×C₄	—	212	1	no	—
2078	C₂×C₄	—	212	1	no	—
2079	C₂×C₄	—	212	4	no	—
2080	C₂×C₄	—	212	4	no	—
2081	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2082	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2083	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2084	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2085	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2086	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2087	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2088	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2089	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2090	C₂×C₄	C₂³×#6157	1	1	yes	characteristic
2091	C₂²	—	2	1	no	—
2092	C₂²	—	2	1	no	—
2093	C₂²	—	2	1	no	—
2094	C₂²	—	2	1	no	—
2095	C₂²	—	2	1	no	—
2096	C₂²	—	2	1	no	—
2097	C₂²	—	2	1	no	—
2098	C₂²	—	2	1	no	—
2099	C₂²	—	2	1	no	—
2100	C₂²	—	2	1	no	—
2101	C₂²	—	2	1	no	—
2102	C₂²	—	2	1	no	—
2103	C₂²	—	2	1	no	—
2104	C₂²	—	2	1	no	—
2105	C₂²	—	2	1	no	—
2106	C₂²	—	8	2	no	—
2107	C₂²	—	53	1	no	—
2108	C₂²	—	53	1	no	—
2109	C₂²	—	53	1	no	—
2110	C₂²	—	53	1	no	—
2111	C₂²	—	53	1	no	—
2112	C₂²	—	53	1	no	—
2113	C₂²	—	106	1	no	—
2114	C₂²	—	106	1	no	—
2115	C₂²	—	106	1	no	—
2116	C₂²	—	106	1	no	—
2117	C₂²	—	106	1	no	—
2118	C₂²	—	106	1	no	—
2119	C₂²	—	106	1	no	—
2120	C₂²	—	106	1	no	—
2121	C₂²	—	106	1	no	—
2122	C₂²	—	106	1	no	—
2123	C₂²	—	106	1	no	—
2124	C₂²	—	106	1	no	—
2125	C₂²	—	106	1	no	—
2126	C₂²	—	106	1	no	—
2127	C₂²	—	106	1	no	—
2128	C₂²	—	424	2	no	—
2129	C₂²	—	424	2	no	—
2130	C₂²	—	424	2	no	—
2131	C₂²	—	212	1	no	—
2132	C₂²	—	212	1	no	—
2133	C₂²	—	212	1	no	—
2134	C₂²	—	212	1	no	—
2135	C₂²	—	212	1	no	—
2136	C₂²	—	212	1	no	—
2137	C₂²	—	212	1	no	—
2138	C₂²	—	212	1	no	—
2139	C₂²	—	212	1	no	—
2140	C₂²	—	212	1	no	—
2141	C₂²	—	212	1	no	—
2142	C₂²	—	212	1	no	—
2143	C₂²	—	212	1	no	—
2144	C₂²	—	212	1	no	—
2145	C₂²	—	212	1	no	—
2146	C₂²	—	212	1	no	—
2147	C₂²	—	212	1	no	—
2148	C₂²	—	212	1	no	—
2149	C₂²	—	212	1	no	—
2150	C₂²	—	212	1	no	—
2151	C₂²	C₂⁴×#6157	1	1	yes	characteristic
2152	C₄	—	2	1	no	—
2153	C₄	—	2	1	no	—
2154	C₄	—	2	1	no	—
2155	C₄	—	2	1	no	—
2156	C₄	—	2	1	no	—
2157	C₄	—	2	1	no	—
2158	C₄	—	2	1	no	—
2159	C₄	—	2	1	no	—
2160	C₄	—	2	1	no	—
2161	C₄	—	2	1	no	—
2162	C₄	—	106	2	no	—
2163	C₄	—	106	2	no	—
2164	C₄	—	106	1	no	—
2165	C₄	—	106	1	no	—
2166	C₄	—	106	1	no	—
2167	C₄	—	106	1	no	—
2168	C₄	—	106	1	no	—
2169	C₄	—	106	1	no	—
2170	C₄	—	106	1	no	—
2171	C₄	—	106	1	no	—
2172	C₄	—	106	1	no	—
2173	C₄	—	106	1	no	—
2174	C₄	—	212	1	no	—
2175	C₄	—	212	1	no	—
2176	C₄	—	212	1	no	—
2177	C₄	—	212	1	no	—
2178	C₄	—	212	1	no	—
2179	C₄	—	212	1	no	—
2180	C₄	—	212	1	no	—
2181	C₄	—	212	1	no	—
2182	C₄	—	212	1	no	—
2183	C₄	—	212	1	no	—
2184	C₄	—	212	1	no	—
2185	C₄	—	212	1	no	—
2186	C₄	—	212	1	no	—
2187	C₄	—	212	1	no	—
2188	C₂	—	4	1	no	—
2189	C₂	—	4	1	no	—
2190	C₂	—	4	1	no	—
2191	C₂	—	4	1	no	—
2192	C₂	—	4	1	no	—
2193	C₂	—	53	1	no	—
2194	C₂	—	53	1	no	—
2195	C₂	—	53	1	no	—
2196	C₂	—	53	1	no	—
2197	C₂	—	212	1	no	—
2198	C₂	—	212	1	no	—
2199	C₂	—	212	1	no	—
2200	C₂	—	212	1	no	—
2201	C₂	—	212	1	no	—
2202	C₂	#20291695	1	1	yes	characteristic
2203	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic
2204	C₂	H(5,𝔽₂)×#6157	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#6157
commutator, socle	C₂²×C₅₃	C₂⁴×C₄
Fitting	C₅₃×#538	C₄
prime radical	#538×D₅₃	C₂
cosocle	C₂²×D₅₃	C₂⁵
hypercenter	#538	#6157
hypocenter	C₅₃	#34451
LCS	G ▷ C₂²×C₅₃ ▷ C₅₃
UCS	C₁ ◁ C₂² ◁ #538

Complements

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

N	H ≅ G/N	type
1. #20291262	C₂	semidirect
2. #20291257	C₂	semidirect
3. #20291255	C₂	semidirect
4. #20291254	C₂	semidirect
5. #20291252	C₂	semidirect
6. #20291252	C₂	semidirect
7. #20291252	C₂	semidirect
8. #20291251	C₂	semidirect
9. #20291246	C₂	semidirect
10. #20291241	C₂	semidirect
11. #20291238	C₂	semidirect
12. #20291237	C₂	semidirect
13. #20291233	C₂	semidirect
14. #20291232	C₂	semidirect
15. #20291221	C₂	semidirect
16. #20291221	C₂	semidirect
17. #20291216	C₂	semidirect
18. #20291214	C₂	semidirect
19. #20291212	C₂	semidirect
20. #20291212	C₂	semidirect
21. #20291205	C₂	semidirect
22. #20291204	C₂	semidirect
23. #20291203	C₂	semidirect
24. #20291203	C₂	semidirect
25. #20291200	C₂	semidirect
26. #20291200	C₂	semidirect
27. #20291198	C₂	semidirect
28. #123×#6157	C₂	semidirect
29. #121×#6157	C₂	semidirect
30. #20291169	C₂	semidirect
32. C₂×Q₈×#6157	C₂²	semidirect
37. C₂×D₄×#6157	C₂²	semidirect
40. C₂×#13133296	C₂²	semidirect
43. C₂²×C₄×#6157	C₂²	semidirect
44. (C₂×#6157)⋊Q₈	C₂²	semidirect
45. (C₂×#6157)⋊Q₈	C₂²	semidirect
46. (C₂×#6157)⋊Q₈	C₂²	semidirect
55. #16811575	C₂²	semidirect
56. #16811574	C₂²	semidirect
57. #16811574	C₂²	semidirect
58. #16811574	C₂²	semidirect
59. #16811574	C₂²	semidirect
60. #16811574	C₂²	semidirect
61. #16811574	C₂²	semidirect
86. #16811573	C₂²	semidirect
87. #16811573	C₂²	semidirect
88. #16811573	C₂²	semidirect
89. #16811573	C₂²	semidirect
90. #16811573	C₂²	semidirect
91. #16811573	C₂²	semidirect
92. #16811573	C₂²	semidirect
93. #16811573	C₂²	semidirect
94. #16811572	C₂²	semidirect
95. #16811572	C₂²	semidirect
96. #16811572	C₂²	semidirect
97. #16811572	C₂²	semidirect
98. #16811572	C₂²	semidirect
99. #16811572	C₂²	semidirect
100. #16811572	C₂²	semidirect
101. #16811572	C₂²	semidirect
102. #16811572	C₂²	semidirect
103. #16811572	C₂²	semidirect
104. #16811572	C₂²	semidirect
105. #16811572	C₂²	semidirect
118. #16811571	C₂²	semidirect
119. #16811571	C₂²	semidirect
128. #16811570	C₂²	semidirect
129. #16811570	C₂²	semidirect
130. #16811570	C₂²	semidirect
131. #16811570	C₂²	semidirect
132. #16811569	C₂²	semidirect
133. #16811568	C₂²	semidirect
136. #16811566	C₂²	semidirect
139. #16811565	C₂²	semidirect
140. #16811565	C₂²	semidirect
141. #16811565	C₂²	semidirect
144. C₄⋊C₄×#6157	C₂²	semidirect
145. C₄⋊C₄×#6157	C₂²	semidirect
146. C₄⋊C₄×#6157	C₂²	semidirect
147. C₄⋊C₄×#6157	C₂²	semidirect
148. C₄⋊C₄×#6157	C₂²	semidirect
149. C₄⋊C₄×#6157	C₂²	semidirect
150. C₄×C₄⋊#6157	C₂²	semidirect
151. C₄×C₄⋊#6157	C₂²	semidirect
152. C₄×C₄⋊#6157	C₂²	semidirect
161. C₂²⋊C₄×#6157	C₂²	semidirect
162. C₂²⋊C₄×#6157	C₂²	semidirect
163. C₂²⋊C₄×#6157	C₂²	semidirect
164. C₂²⋊C₄×#6157	C₂²	semidirect
167. C₄×C₂²⋊#6157	C₂²	semidirect
168. #16811559	C₂²	semidirect
169. #16811559	C₂²	semidirect
170. #16811559	C₂²	semidirect
171. C₂×(C₂×#6157)⋊C₄	C₂²	semidirect
172. #16811213	C₄	semidirect
173. #16811212	C₄	semidirect
174. #16811212	C₄	semidirect
175. #16811211	C₄	semidirect
176. #16811210	C₄	semidirect
177. #16811209	C₄	semidirect
178. #16811209	C₄	semidirect
179. #16811208	C₄	semidirect
180. #16811208	C₄	semidirect
181. #16811207	C₄	semidirect
182. #16811207	C₄	semidirect
183. #16811206	C₄	semidirect
184. #16811206	C₄	semidirect
185. #16811205	C₄	semidirect
186. #16811205	C₄	semidirect
202. C₅₃×#538	C₄	semidirect
348. #13133212	C₂×C₄	semidirect
349. #13133212	C₂×C₄	semidirect
350. #13133212	C₂×C₄	semidirect
351. #13133212	C₂×C₄	semidirect
352. #13133212	C₂×C₄	semidirect
353. #13133212	C₂×C₄	semidirect
354. #13133211	C₂×C₄	semidirect
355. #13133211	C₂×C₄	semidirect
356. #13133210	C₂×C₄	semidirect
357. #13133210	C₂×C₄	semidirect
358. #13133210	C₂×C₄	semidirect
359. #13133210	C₂×C₄	semidirect
360. #13133210	C₂×C₄	semidirect
361. #13133210	C₂×C₄	semidirect
362. #13133206	C₂×C₄	semidirect
363. #13133206	C₂×C₄	semidirect
364. #13133205	C₂×C₄	semidirect
365. #13133205	C₂×C₄	semidirect
366. #13133204	C₂×C₄	semidirect
367. #13133204	C₂×C₄	semidirect
368. #13133203	C₂×C₄	semidirect
369. #13133203	C₂×C₄	semidirect
370. #13133203	C₂×C₄	semidirect
371. #13133203	C₂×C₄	semidirect
372. #13133203	C₂×C₄	semidirect
373. #13133203	C₂×C₄	semidirect
374. #13133203	C₂×C₄	semidirect
375. #13133203	C₂×C₄	semidirect
376. #13133202	C₂×C₄	semidirect
377. #13133202	C₂×C₄	semidirect
378. #13133202	C₂×C₄	semidirect
379. #13133202	C₂×C₄	semidirect
380. #13133201	C₂×C₄	semidirect
381. #13133201	C₂×C₄	semidirect
382. #13133200	C₂×C₄	semidirect
383. #13133200	C₂×C₄	semidirect
384. #13133199	C₂×C₄	semidirect
385. #13133199	C₂×C₄	semidirect
386. #13133199	C₂×C₄	semidirect
387. #13133199	C₂×C₄	semidirect
388. #13133198	C₂×C₄	semidirect
389. #13133198	C₂×C₄	semidirect
390. #13133197	C₂×C₄	semidirect
391. #13133196	C₂×C₄	semidirect
392. #13133195	C₂×C₄	semidirect
393. #13133195	C₂×C₄	semidirect
394. #13133194	C₂×C₄	semidirect
395. #13133194	C₂×C₄	semidirect
396. #13133193	C₂×C₄	semidirect
397. #13133192	C₂×C₄	semidirect
398. #13133192	C₂×C₄	semidirect
399. #13133192	C₂×C₄	semidirect
400. #13133191	C₂×C₄	semidirect
401. #13133191	C₂×C₄	semidirect
402. #13133191	C₂×C₄	semidirect
403. #13133190	C₂×C₄	semidirect
404. #13133190	C₂×C₄	semidirect
405. #13133190	C₂×C₄	semidirect
406. #13133190	C₂×C₄	semidirect
407. #13133190	C₂×C₄	semidirect
408. #13133190	C₂×C₄	semidirect
409. #13133189	C₂×C₄	semidirect
410. #13133189	C₂×C₄	semidirect
411. #13133189	C₂×C₄	semidirect
412. #13133189	C₂×C₄	semidirect
413. #13133189	C₂×C₄	semidirect
414. #13133189	C₂×C₄	semidirect
415. #13133188	C₂×C₄	semidirect
416. #13133188	C₂×C₄	semidirect
417. #13133188	C₂×C₄	semidirect
418. #13133187	C₂×C₄	semidirect
419. #13133187	C₂×C₄	semidirect
420. #13133187	C₂×C₄	semidirect
421. #13133187	C₂×C₄	semidirect
422. #13133187	C₂×C₄	semidirect
423. #13133187	C₂×C₄	semidirect
424. #13133186	C₂×C₄	semidirect
425. #13133186	C₂×C₄	semidirect
426. #13133185	C₂×C₄	semidirect
427. #13133185	C₂×C₄	semidirect
428. #13133185	C₂×C₄	semidirect
429. #13133185	C₂×C₄	semidirect
430. #13133185	C₂×C₄	semidirect
431. #13133185	C₂×C₄	semidirect
432. C₄×D₂₁₂	C₂×C₄	semidirect
433. C₄×D₂₁₂	C₂×C₄	semidirect
434. D₄×Dic₅₃	C₂×C₄	semidirect
435. D₄×Dic₅₃	C₂×C₄	semidirect
436. #13133179	C₂×C₄	semidirect
437. #13133179	C₂×C₄	semidirect
438. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
439. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
440. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
441. C₄×C₂²⋊D₅₃	C₂×C₄	semidirect
442. #13133177	C₂×C₄	semidirect
443. #13133177	C₂×C₄	semidirect
444. #13133177	C₂×C₄	semidirect
445. #13133177	C₂×C₄	semidirect
452. C₂×C₂²⋊Dic₅₃	C₂×C₄	semidirect
453. C₂×#11719921	C₂×C₄	semidirect
454. C₂×#11719921	C₂×C₄	semidirect
455. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
456. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
457. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
458. C₂²⋊C₄×D₅₃	C₂×C₄	semidirect
475. #126×C₅₃	C₂×C₄	semidirect
476. #126×C₅₃	C₂×C₄	semidirect
477. #124×C₅₃	C₂×C₄	semidirect
478. #124×C₅₃	C₂×C₄	semidirect
479. #123×C₅₃	C₂×C₄	semidirect
480. #123×C₅₃	C₂×C₄	semidirect
481. C₂²⋊Q₈×C₅₃	C₂×C₄	semidirect
482. #121×C₅₃	C₂×C₄	semidirect
483. #121×C₅₃	C₂×C₄	semidirect
484. #121×C₅₃	C₂×C₄	semidirect
485. #120×C₅₃	C₂×C₄	semidirect
486. #120×C₅₃	C₂×C₄	semidirect
487. C₄×D₄×C₅₃	C₂×C₄	semidirect
488. C₄×D₄×C₅₃	C₂×C₄	semidirect
489. C₂×C₂²⋊C₄×C₅₃	C₂×C₄	semidirect
1149. #538	#6157	semidirect
1305. C₅₃	#34451	semidirect
1341. #126	C₂×#6157	semidirect
1342. #126	C₂×#6157	semidirect
1357. #124	C₂×#6157	semidirect
1358. #124	C₂×#6157	semidirect
1373. #123	C₂×#6157	semidirect
1374. #123	C₂×#6157	semidirect
1382. C₂²⋊Q₈	C₂×#6157	semidirect
1404. #121	C₂×#6157	semidirect
1405. #121	C₂×#6157	semidirect
1406. #121	C₂×#6157	semidirect
1421. #120	C₂×#6157	semidirect
1422. #120	C₂×#6157	semidirect
1443. C₄×D₄	C₂×#6157	semidirect
1444. C₄×D₄	C₂×#6157	semidirect
1529. C₂×C₂²⋊C₄	C₂×#6157	semidirect

Maximal subgroups

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

subgroup	index
#20291262	2
#20291257	2
#20291255	2
#20291254	2
#20291252	2
#20291251	2
#20291246	2
#20291241	2
#20291238	2
#20291237	2
#20291233	2
#20291232	2
#20291221	2
#20291216	2
#20291214	2
#20291212	2
#20291205	2
#20291204	2
#20291203	2
#20291200	2
#20291198	2
#123×#6157	2
#121×#6157	2
#20291169	2
#538×D₅₃	2
#34451	53