Subgroups — #15638652

Order 2816.

2094 conjugacy classes of subgroups.

The subgroup lattice has 1856 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082445	C₂	1	1	yes	maximal, characteristic
2	D₄×Q₈×D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
3	#13080785	C₂	1	1	yes	maximal, characteristic, complemented
4	#13080783	C₂	1	1	yes	maximal, characteristic, complemented
5	#13080781	C₂	1	1	yes	maximal, characteristic, complemented
6	#13080670	C₂	1	1	yes	maximal, characteristic, complemented
7	#13080668	C₂	1	1	yes	maximal, characteristic, complemented
8	#13080666	C₂	1	1	yes	maximal, characteristic, complemented
9	#13080664	C₂	1	1	yes	maximal, characteristic, complemented
10	#13080191	C₂	1	1	yes	maximal, characteristic, complemented
11	#13080187	C₂	1	1	yes	maximal, characteristic, complemented
12	#13080183	C₂	1	1	yes	maximal, characteristic, complemented
13	#13080179	C₂	1	1	yes	maximal, characteristic, complemented
14	#13080133	C₂	1	1	yes	maximal, characteristic, complemented
15	#13080132	C₂	1	1	yes	maximal, characteristic, complemented
16	#13080129	C₂	1	1	yes	maximal, characteristic, complemented
17	#13080128	C₂	1	1	yes	maximal, characteristic, complemented
18	#13079644	C₂	1	1	yes	maximal, characteristic, complemented
19	#13079642	C₂	1	1	yes	maximal, characteristic, complemented
20	#13079450	C₂	1	1	yes	maximal, characteristic, complemented
21	#13079441	C₂	1	1	yes	maximal, characteristic, complemented
22	#13079390	C₂	1	1	yes	maximal, characteristic, complemented
23	#13079368	C₂	1	1	yes	maximal, characteristic, complemented
24	#13078792	C₂	1	1	yes	maximal, characteristic, complemented
25	#13078785	C₂	1	1	yes	maximal, characteristic, complemented
26	#13077852	C₂	1	1	yes	maximal, characteristic, complemented
27	#13077847	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#10622421	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₁×#448	C₂	1	1	yes	maximal, characteristic, complemented
30	#13077641	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₁×#3320	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×Q₈×D₁₁	C₂²	1	1	yes	characteristic
33	C₂²×Q₈×D₁₁	C₂²	1	1	yes	characteristic, complemented
34	C₁₁×#553	C₂²	1	1	yes	characteristic
35	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
36	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
37	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
38	C₂²×#4326	C₂²	1	1	yes	characteristic, complemented
39	C₂×#66995	C₂²	1	1	yes	characteristic, complemented
40	C₂×#66968	C₂²	1	1	yes	characteristic, complemented
41	C₂×#66968	C₂²	1	1	yes	characteristic, complemented
42	C₂×SD₁₆×D₁₁	C₂²	1	1	yes	characteristic, complemented
43	C₂×SD₁₆×D₁₁	C₂²	1	1	yes	characteristic, complemented
44	C₂×#66962	C₂²	1	1	yes	characteristic, complemented
45	C₂²×Dic₄₄	C₂²	1	1	yes	characteristic, complemented
46	#10623258	—	2	1	no	—
47	#10623258	C₂²	1	1	yes	characteristic
48	D₁₁×C₄⋊Q₈	—	2	1	no	—
49	D₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic, complemented
50	#10623238	—	2	1	no	—
51	#10623236	—	2	1	no	—
52	#10623225	C₂²	1	1	yes	characteristic
53	#10623222	C₂²	1	1	yes	characteristic
54	#10623189	—	2	1	no	—
55	#10623188	—	2	1	no	—
56	#10623163	—	2	1	no	—
57	#10623163	—	2	1	no	—
58	#10623163	C₂²	1	1	yes	characteristic
59	#10623163	C₂²	1	1	yes	characteristic, complemented
60	D₁₁×C₂²⋊Q₈	—	2	1	no	—
61	D₁₁×C₂²⋊Q₈	—	2	1	no	—
62	D₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
63	D₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
64	#10623149	—	2	1	no	—
65	#10623143	C₂²	1	1	yes	characteristic
66	#10623137	C₂²	1	1	yes	characteristic
67	#10623136	—	2	1	no	—
68	D₁₁×#121	C₂²	1	1	yes	characteristic
69	#10623129	C₂²	1	1	yes	characteristic
70	Q₈×D₄₄	C₂²	1	1	yes	characteristic
71	C₄×Q₈×D₁₁	C₂²	1	1	yes	characteristic, complemented
72	#10623096	—	2	1	no	—
73	#10623088	C₂²	1	1	yes	characteristic
74	#10623085	C₂²	1	1	yes	characteristic
75	#10623083	C₂²	1	1	yes	characteristic
76	#10623076	—	2	1	no	—
77	C₄×D₄×D₁₁	—	2	1	no	—
78	C₄×D₄×D₁₁	C₂²	1	1	yes	characteristic
79	D₄×Dic₂₂	—	2	1	no	—
80	D₄×Dic₂₂	C₂²	1	1	yes	characteristic, complemented
81	#10623060	C₂²	1	1	yes	characteristic
82	#10623055	C₂²	1	1	yes	characteristic
83	#10623045	C₂²	1	1	yes	characteristic
84	C₂×#66950	C₂²	1	1	yes	characteristic
85	C₁₁×#491	C₂²	1	1	yes	characteristic, complemented
86	C₁₁×#485	C₂²	1	1	yes	characteristic, complemented
87	C₁₁×#484	C₂²	1	1	yes	characteristic, complemented
88	C₁₁×#479	C₂²	1	1	yes	characteristic, complemented
89	C₁₁×#468	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#465	C₂²	1	1	yes	characteristic, complemented
91	C₁₁×#461	C₂²	1	1	yes	characteristic, complemented
92	C₁₁×#448	C₂²	1	1	yes	characteristic, complemented
93	C₁₁×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₁×#440	C₂²	1	1	yes	characteristic, complemented
95	C₁₁×#435	C₂²	1	1	yes	characteristic, complemented
96	C₁₁×#419	C₂²	1	1	yes	characteristic, complemented
97	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic, complemented
98	#10622841	C₂²	1	1	yes	characteristic, complemented
99	#10622840	C₂²	1	1	yes	characteristic, complemented
100	#10622786	C₂²	1	1	yes	characteristic, complemented
101	#10622783	C₂²	1	1	yes	characteristic
102	#10622783	C₂²	1	1	yes	characteristic
103	#10622783	C₂²	1	1	yes	characteristic
104	#10622782	C₂²	1	1	yes	characteristic, complemented
105	#10622780	C₂²	1	1	yes	characteristic, complemented
106	#10622780	C₂²	1	1	yes	characteristic, complemented
107	#10622779	C₂²	1	1	yes	characteristic, complemented
108	#10622750	C₂²	1	1	yes	characteristic, complemented
109	#10622740	C₂²	1	1	yes	characteristic
110	#10622739	C₂²	1	1	yes	characteristic, complemented
111	#10622727	C₂²	1	1	yes	characteristic, complemented
112	#10622724	C₂²	1	1	yes	characteristic, complemented
113	C₂×(C₂×D₁₁)⋊C₈	C₂²	1	1	yes	characteristic
114	#10622703	C₂²	1	1	yes	characteristic, complemented
115	#10622699	C₂²	1	1	yes	characteristic, complemented
116	#10622682	C₂²	1	1	yes	characteristic, complemented
117	#10622676	C₂²	1	1	yes	characteristic, complemented
118	#10622665	C₂²	1	1	yes	characteristic, complemented
119	#10622663	C₂²	1	1	yes	characteristic, complemented
120	#10622661	C₂²	1	1	yes	characteristic, complemented
121	#10622660	C₂²	1	1	yes	characteristic, complemented
122	#10622655	C₂²	1	1	yes	characteristic, complemented
123	#10622654	C₂²	1	1	yes	characteristic, complemented
124	#10622653	C₂²	1	1	yes	characteristic, complemented
125	#10622653	C₂²	1	1	yes	characteristic, complemented
126	#10622643	C₂²	1	1	yes	characteristic, complemented
127	#10622641	C₂²	1	1	yes	characteristic, complemented
128	#10622632	C₂²	1	1	yes	characteristic, complemented
129	#10622631	C₂²	1	1	yes	characteristic, complemented
130	#10622624	C₂²	1	1	yes	characteristic, complemented
131	#10622617	C₂²	1	1	yes	characteristic, complemented
132	#10622609	C₂²	1	1	yes	characteristic, complemented
133	#10622583	C₂²	1	1	yes	characteristic, complemented
134	C₂×#66874	C₂²	1	1	yes	characteristic, complemented
135	#10622502	C₂²	1	1	yes	characteristic, complemented
136	#10622501	C₂²	1	1	yes	characteristic, complemented
137	#10622500	C₂²	1	1	yes	characteristic, complemented
138	#10622500	C₂²	1	1	yes	characteristic, complemented
139	#10622499	C₂²	1	1	yes	characteristic, complemented
140	#10622497	C₂²	1	1	yes	characteristic, complemented
141	#10622497	C₂²	1	1	yes	characteristic, complemented
142	#10622490	C₂²	1	1	yes	characteristic, complemented
143	#10622481	C₂²	1	1	yes	characteristic, complemented
144	#10622476	C₂²	1	1	yes	characteristic
145	#10622475	C₂²	1	1	yes	characteristic, complemented
146	#10622466	C₂²	1	1	yes	characteristic, complemented
147	#10622462	C₂²	1	1	yes	characteristic, complemented
148	#10622458	C₂²	1	1	yes	characteristic, complemented
149	#10622449	C₂²	1	1	yes	characteristic
150	#10622448	C₂²	1	1	yes	characteristic, complemented
151	#10622431	C₂²	1	1	yes	characteristic, complemented
152	#10622431	C₂²	1	1	yes	characteristic, complemented
153	#10622430	C₂²	1	1	yes	characteristic, complemented
154	#10622429	C₂²	1	1	yes	characteristic, complemented
155	#10622428	C₂²	1	1	yes	characteristic, complemented
156	#10622426	C₂²	1	1	yes	characteristic, complemented
157	#10622426	C₂²	1	1	yes	characteristic, complemented
158	#10622425	C₂²	1	1	yes	characteristic, complemented
159	#10622421	C₂²	1	1	yes	characteristic, complemented
160	#10622421	C₂²	1	1	yes	characteristic, complemented
161	#10622421	C₂²	1	1	yes	characteristic, complemented
162	#10622421	C₂²	1	1	yes	characteristic, complemented
163	#10622421	C₂²	1	1	yes	characteristic, complemented
164	#10622421	C₂²	1	1	yes	characteristic, complemented
165	#10622421	C₂²	1	1	yes	characteristic, complemented
166	#10622421	C₂²	1	1	yes	characteristic, complemented
167	#10622421	C₂²	1	1	yes	characteristic, complemented
168	#10622421	C₂²	1	1	yes	characteristic, complemented
169	#10622421	C₂²	1	1	yes	characteristic, complemented
170	#10622421	C₂²	1	1	yes	characteristic, complemented
171	#10622419	C₂²	1	1	yes	characteristic
172	#10622419	C₂²	1	1	yes	characteristic
173	#10622419	C₂²	1	1	yes	characteristic
174	#10622419	C₂²	1	1	yes	characteristic, complemented
175	#10622419	C₂²	1	1	yes	characteristic, complemented
176	#10622418	C₂²	1	1	yes	characteristic, complemented
177	#10622415	C₂²	1	1	yes	characteristic, complemented
178	#10622415	C₂²	1	1	yes	characteristic, complemented
179	D₁₁×#103	C₂²	1	1	yes	characteristic, complemented
180	D₁₁×#103	C₂²	1	1	yes	characteristic, complemented
181	#10622412	C₂²	1	1	yes	characteristic, complemented
182	#10622410	C₂²	1	1	yes	characteristic, complemented
183	#10622410	C₂²	1	1	yes	characteristic, complemented
184	#10622406	C₂²	1	1	yes	characteristic, complemented
185	#10622406	C₂²	1	1	yes	characteristic, complemented
186	#10622402	C₂²	1	1	yes	characteristic, complemented
187	#10622396	C₂²	1	1	yes	characteristic, complemented
188	#10622390	C₂²	1	1	yes	characteristic
189	#10622389	C₂²	1	1	yes	characteristic, complemented
190	#10622380	C₂²	1	1	yes	characteristic, complemented
191	#10622352	C₂²	1	1	yes	characteristic, complemented
192	#10622352	C₂²	1	1	yes	characteristic, complemented
193	#10622351	C₂²	1	1	yes	characteristic, complemented
194	#10622346	C₂²	1	1	yes	characteristic, complemented
195	#10622343	C₂²	1	1	yes	characteristic, complemented
196	#10622341	C₂²	1	1	yes	characteristic
197	#10622339	C₂²	1	1	yes	characteristic, complemented
198	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
199	#10622329	C₂²	1	1	yes	characteristic, complemented
200	#10622328	C₂²	1	1	yes	characteristic, complemented
201	#10622319	C₂²	1	1	yes	characteristic
202	#10622318	C₂²	1	1	yes	characteristic, complemented
203	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
205	C₂×Q₈×D₁₁	—	2	1	no	—
206	C₂×Q₈×D₁₁	—	2	1	no	—
207	C₂×Q₈×D₁₁	—	2	1	no	—
208	C₂×Q₈×D₁₁	—	2	1	no	—
209	C₂×Q₈×D₁₁	—	4	2	no	—
210	C₂×Q₈×D₁₁	—	4	2	no	—
211	C₂×Q₈×D₁₁	—	4	2	no	—
212	C₂×Q₈×D₁₁	—	4	2	no	—
213	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
216	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
218	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
219	C₂×Q₈×D₁₁	C₂³	1	1	yes	characteristic
220	C₂×#4341	C₂³	1	1	yes	characteristic
221	C₂×D₄×D₁₁	—	2	1	no	—
222	C₂×D₄×D₁₁	D₄	1	1	yes	characteristic
223	C₂×D₄×D₁₁	C₂³	1	1	yes	characteristic
224	C₂×#4339	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₁₁	—	2	1	no	—
226	C₂²×C₄×D₁₁	—	2	1	no	—
227	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
228	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
229	C₂²×Dic₂₂	—	2	1	no	—
230	C₂²×Dic₂₂	—	2	1	no	—
231	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
232	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
233	C₂²×Dic₂₂	C₂³	1	1	yes	characteristic
234	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
235	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
236	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
238	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
239	C₁₁×C₄⋊Q₈	—	2	1	no	—
240	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
241	C₁₁×#126	—	2	1	no	—
242	C₁₁×#125	C₂³	1	1	yes	characteristic
243	C₁₁×#123	—	2	1	no	—
244	C₁₁×C₂²⋊Q₈	—	2	1	no	—
245	C₁₁×C₂²⋊Q₈	—	2	1	no	—
246	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
247	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
248	C₁₁×#121	—	2	1	no	—
249	C₁₁×#121	C₂³	1	1	yes	characteristic
250	C₁₁×#121	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
252	C₄×D₄×C₁₁	—	2	1	no	—
253	C₄×D₄×C₁₁	—	2	1	no	—
254	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
255	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
256	C₁₁×#117	C₂³	1	1	yes	characteristic
257	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
258	#66999	—	2	1	no	—
259	#66999	—	2	1	no	—
260	#66999	C₂³	1	1	yes	characteristic
261	#66999	C₂³	1	1	yes	characteristic
262	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
263	#66997	—	2	1	no	—
264	#66997	—	2	1	no	—
265	#66997	C₂³	1	1	yes	characteristic
266	#66997	C₂³	1	1	yes	characteristic
267	C₂×#4326	—	4	2	no	—
268	C₂×#4326	C₂³	1	1	yes	characteristic
269	C₂×#4326	C₂³	1	1	yes	characteristic
270	C₂×#4326	C₂³	1	1	yes	characteristic
271	C₂×#4326	C₂³	1	1	yes	characteristic
272	C₂×#4326	C₂³	1	1	yes	characteristic
273	C₂×#4326	C₂³	1	1	yes	characteristic
274	#66995	—	4	2	no	—
275	C₂×#4325	C₂³	1	1	yes	characteristic
276	C₂×#4325	C₂³	1	1	yes	characteristic
277	C₂×#4325	C₂³	1	1	yes	characteristic
278	#66992	—	2	1	no	—
279	#66992	—	2	1	no	—
280	#66992	—	2	1	no	—
281	#66991	—	2	1	no	—
282	#66991	C₂³	1	1	yes	characteristic
283	#66990	—	2	1	no	—
284	#66990	—	2	1	no	—
285	#66989	C₂³	1	1	yes	characteristic
286	D₄×Dic₁₁	—	2	1	no	—
287	D₄×Dic₁₁	—	2	1	no	—
288	D₄×Dic₁₁	—	2	1	no	—
289	D₄×Dic₁₁	D₄	1	1	yes	characteristic
290	C₂×#4324	C₂³	1	1	yes	characteristic
291	C₂×#4324	C₂³	1	1	yes	characteristic
292	C₂×#4324	C₂³	1	1	yes	characteristic
293	#66983	—	2	1	no	—
294	#66983	—	2	1	no	—
295	#66983	C₂³	1	1	yes	characteristic
296	C₄×C₂²⋊D₁₁	—	2	1	no	—
297	C₄×C₂²⋊D₁₁	—	2	1	no	—
298	C₄×C₂²⋊D₁₁	—	2	1	no	—
299	C₄×C₂²⋊D₁₁	—	2	1	no	—
300	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
301	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
303	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
304	#66979	—	2	1	no	—
305	C₂×C₄⋊Dic₁₁	—	2	1	no	—
306	#66977	—	2	1	no	—
307	#66977	—	2	1	no	—
308	#66977	C₂³	1	1	yes	characteristic
309	#66977	C₂³	1	1	yes	characteristic
310	#66977	C₂³	1	1	yes	characteristic
311	C₂×#4318	C₂³	1	1	yes	characteristic
312	C₂²×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
313	#66968	—	4	2	no	—
314	#66968	—	4	2	no	—
315	SD₁₆×D₁₁	—	4	2	no	—
316	SD₁₆×D₁₁	—	4	2	no	—
317	#66962	—	4	2	no	—
318	C₂×Dic₄₄	—	4	2	no	—
319	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
320	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
321	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
322	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
323	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
324	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
325	C₂×#4314	C₂³	1	1	yes	characteristic
326	C₂×#4314	C₂³	1	1	yes	characteristic
327	C₂×#4314	C₂³	1	1	yes	characteristic
328	C₂×#4313	C₂³	1	1	yes	characteristic
329	C₂×#4313	C₂³	1	1	yes	characteristic
330	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
331	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
332	#66951	—	2	1	no	—
333	#66951	—	2	1	no	—
334	#66951	—	2	1	no	—
335	#66950	—	2	1	no	—
336	#66950	—	2	1	no	—
337	#66950	—	2	1	no	—
338	#66950	—	2	1	no	—
339	#66950	C₂³	1	1	yes	characteristic
340	#66950	C₂³	1	1	yes	characteristic
341	#66950	C₂³	1	1	yes	characteristic
342	#66950	C₂³	1	1	yes	characteristic
343	#66950	C₂³	1	1	yes	characteristic
344	#66950	C₂³	1	1	yes	characteristic
345	#66950	C₂³	1	1	yes	characteristic
346	#66949	—	2	1	no	—
347	#66949	—	2	1	no	—
348	#66949	—	2	1	no	—
349	#66949	—	2	1	no	—
350	#66949	—	2	1	no	—
351	#66949	—	2	1	no	—
352	#66949	—	2	1	no	—
353	#66948	C₂³	1	1	yes	characteristic
354	#66948	C₂³	1	1	yes	characteristic
355	#66947	—	2	1	no	—
356	#66947	—	2	1	no	—
357	#66947	—	2	1	no	—
358	#66946	—	2	1	no	—
359	#66946	—	2	1	no	—
360	#66946	D₄	1	1	yes	characteristic
361	#66946	C₂³	1	1	yes	characteristic
362	#66945	—	2	1	no	—
363	#66945	—	2	1	no	—
364	#66945	C₂³	1	1	yes	characteristic
365	C₄⋊C₄×D₁₁	—	2	1	no	—
366	C₄⋊C₄×D₁₁	—	2	1	no	—
367	C₄⋊C₄×D₁₁	—	2	1	no	—
368	C₄⋊C₄×D₁₁	—	2	1	no	—
369	C₄⋊C₄×D₁₁	—	2	1	no	—
370	C₄⋊C₄×D₁₁	D₄	1	1	yes	characteristic
371	C₄⋊C₄×D₁₁	C₂³	1	1	yes	characteristic
372	C₄⋊C₄×D₁₁	C₂³	1	1	yes	characteristic
373	#66943	—	2	1	no	—
374	#66943	C₂³	1	1	yes	characteristic
375	#66941	—	2	1	no	—
376	#66941	—	2	1	no	—
377	#66941	—	2	1	no	—
378	#66941	—	2	1	no	—
379	#66941	—	2	1	no	—
380	#66941	—	2	1	no	—
381	#66940	—	2	1	no	—
382	#66940	C₂³	1	1	yes	characteristic
383	#66940	C₂³	1	1	yes	characteristic
384	#66939	—	2	1	no	—
385	#66939	—	2	1	no	—
386	#66938	—	2	1	no	—
387	#66938	—	2	1	no	—
388	#66937	—	2	1	no	—
389	#66936	—	2	1	no	—
390	#66936	—	2	1	no	—
391	#66936	—	2	1	no	—
392	#66936	—	2	1	no	—
393	#66935	—	2	1	no	—
394	#66935	—	2	1	no	—
395	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
396	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
397	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
398	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
399	(C₂²⋊D₁₁)⋊C₄	D₄	1	1	yes	characteristic
400	(C₂²⋊D₁₁)⋊C₄	D₄	1	1	yes	characteristic
401	C₂²⋊C₄×D₁₁	—	2	1	no	—
402	C₂²⋊C₄×D₁₁	—	2	1	no	—
403	C₂²⋊C₄×D₁₁	—	2	1	no	—
404	C₂²⋊C₄×D₁₁	—	2	1	no	—
405	C₂²⋊C₄×D₁₁	D₄	1	1	yes	characteristic
406	C₂²⋊C₄×D₁₁	D₄	1	1	yes	characteristic
407	#66932	—	2	1	no	—
408	#66932	—	2	1	no	—
409	#66931	—	2	1	no	—
410	#66931	—	2	1	no	—
411	#66931	—	2	1	no	—
412	#66931	—	2	1	no	—
413	#66931	—	2	1	no	—
414	#66931	—	2	1	no	—
415	#66931	—	2	1	no	—
416	#66928	C₂³	1	1	yes	characteristic
417	C₄×D₄₄	—	2	1	no	—
418	C₄×D₄₄	—	2	1	no	—
419	C₄×D₄₄	—	2	1	no	—
420	C₄×D₄₄	C₂³	1	1	yes	characteristic
421	#66925	—	2	1	no	—
422	C₄²×D₁₁	—	2	1	no	—
423	C₄²×D₁₁	C₂³	1	1	yes	characteristic
424	#66923	—	2	1	no	—
425	#66922	—	2	1	no	—
426	#66922	C₂³	1	1	yes	characteristic
427	C₄×Dic₂₂	—	2	1	no	—
428	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
429	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
430	C₁₁×#107	C₂³	1	1	yes	characteristic
431	C₁₁×#107	C₂³	1	1	yes	characteristic
432	C₁₁×#106	C₂³	1	1	yes	characteristic
433	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
434	C₁₁×#103	C₂³	1	1	yes	characteristic
435	C₁₁×#103	C₂³	1	1	yes	characteristic
436	C₁₁×#103	C₂³	1	1	yes	characteristic
437	C₁₁×#103	C₂³	1	1	yes	characteristic
438	C₁₁×#103	C₂³	1	1	yes	characteristic
439	C₁₁×#103	C₂³	1	1	yes	characteristic
440	C₁₁×#103	C₂³	1	1	yes	characteristic
441	C₁₁×#103	C₂³	1	1	yes	characteristic
442	C₁₁×#103	C₂³	1	1	yes	characteristic
443	C₁₁×#102	C₂³	1	1	yes	characteristic
444	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
445	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
446	C₁₁×#97	C₂³	1	1	yes	characteristic
447	#66899	C₂³	1	1	yes	characteristic
448	#66899	C₂³	1	1	yes	characteristic
449	#66899	C₂³	1	1	yes	characteristic
450	#66896	C₂³	1	1	yes	characteristic
451	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
452	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
453	#66885	C₂³	1	1	yes	characteristic
454	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
455	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
456	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
457	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
458	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
459	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
460	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
461	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
462	#66881	C₂³	1	1	yes	characteristic
463	#66880	C₂³	1	1	yes	characteristic
464	#66880	C₂³	1	1	yes	characteristic
465	#66880	C₂³	1	1	yes	characteristic
466	#66880	C₂³	1	1	yes	characteristic
467	#66880	C₂³	1	1	yes	characteristic
468	#66879	C₂³	1	1	yes	characteristic
469	#66879	C₂³	1	1	yes	characteristic
470	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
471	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
472	#66874	C₂³	1	1	yes	characteristic
473	#66874	C₂³	1	1	yes	characteristic
474	#66874	C₂³	1	1	yes	characteristic
475	#66874	C₂³	1	1	yes	characteristic
476	#66874	C₂³	1	1	yes	characteristic
477	#66874	C₂³	1	1	yes	characteristic
478	#66874	C₂³	1	1	yes	characteristic
479	#66874	C₂³	1	1	yes	characteristic
480	#66874	C₂³	1	1	yes	characteristic
481	#66874	C₂³	1	1	yes	characteristic
482	#66874	C₂³	1	1	yes	characteristic
483	#66873	C₂³	1	1	yes	characteristic
484	#66872	C₂³	1	1	yes	characteristic
485	#66872	C₂³	1	1	yes	characteristic
486	#66871	C₂³	1	1	yes	characteristic
487	#66871	C₂³	1	1	yes	characteristic
488	C₄⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
489	#66867	C₂³	1	1	yes	characteristic
490	#61574	—	11	1	no	maximal, Sylow
491	C₂³×D₁₁	—	2	1	no	—
492	C₂³×D₁₁	C₂×D₄	1	1	yes	characteristic
493	C₂³×D₁₁	C₂×D₄	1	1	yes	characteristic
494	C₂×Q₈×C₁₁	—	2	1	no	—
495	C₂×Q₈×C₁₁	—	2	1	no	—
496	C₂×Q₈×C₁₁	—	2	2	no	—
497	C₂×Q₈×C₁₁	—	2	2	no	—
498	C₂×Q₈×C₁₁	—	4	1	no	—
499	C₂×Q₈×C₁₁	—	4	1	no	—
500	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
501	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
502	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
503	C₂×D₄×C₁₁	—	2	1	no	—
504	C₂×D₄×C₁₁	—	2	1	no	—
505	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
506	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₁₁	—	2	1	no	—
508	C₂²×C₄×C₁₁	—	2	1	no	—
509	C₂²×C₄×C₁₁	—	2	1	no	—
510	C₂²×C₄×C₁₁	—	2	1	no	—
511	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
512	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
513	C₂×C₂²⋊D₁₁	—	2	1	no	—
514	C₂×C₂²⋊D₁₁	—	2	1	no	—
515	C₂×C₂²⋊D₁₁	—	2	1	no	—
516	C₂×C₂²⋊D₁₁	—	2	1	no	—
517	C₂×C₂²⋊D₁₁	—	2	1	no	—
518	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
519	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
520	C₂²×Dic₁₁	—	2	1	no	—
521	C₂²×Dic₁₁	—	2	1	no	—
522	C₂²×Dic₁₁	—	2	1	no	—
523	C₂²×Dic₁₁	—	2	1	no	—
524	C₂²×Dic₁₁	C₂×D₄	1	1	yes	characteristic
525	C₂²×Dic₁₁	C₂×D₄	1	1	yes	characteristic
526	Q₈×D₁₁	—	2	2	no	—
527	Q₈×D₁₁	—	2	2	no	—
528	Q₈×D₁₁	—	2	2	no	—
529	Q₈×D₁₁	—	2	2	no	—
530	Q₈×D₁₁	—	2	2	no	—
531	Q₈×D₁₁	—	2	2	no	—
532	Q₈×D₁₁	—	4	1	no	—
533	Q₈×D₁₁	—	4	1	no	—
534	Q₈×D₁₁	—	4	1	no	—
535	Q₈×D₁₁	—	4	1	no	—
536	Q₈×D₁₁	—	4	1	no	—
537	Q₈×D₁₁	—	4	1	no	—
538	Q₈×D₁₁	—	4	1	no	—
539	Q₈×D₁₁	—	4	1	no	—
540	Q₈×D₁₁	—	4	4	no	—
541	Q₈×D₁₁	—	4	4	no	—
542	Q₈×D₁₁	—	4	4	no	—
543	Q₈×D₁₁	—	4	4	no	—
544	#4341	—	4	1	no	—
545	#4341	—	4	1	no	—
546	D₄×D₁₁	—	2	4	no	—
547	D₄×D₁₁	—	4	1	no	—
548	D₄×D₁₁	—	4	1	no	—
549	D₄×D₁₁	—	4	4	no	—
550	#4339	—	4	1	no	—
551	#4339	—	4	1	no	—
552	C₂×D₄₄	—	2	1	no	—
553	C₂×D₄₄	—	2	1	no	—
554	C₂×D₄₄	C₂×D₄	1	1	yes	characteristic
555	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
556	C₂×C₄×D₁₁	—	2	1	no	—
557	C₂×C₄×D₁₁	—	2	1	no	—
558	C₂×C₄×D₁₁	—	2	1	no	—
559	C₂×C₄×D₁₁	—	2	1	no	—
560	C₂×C₄×D₁₁	—	2	1	no	—
561	C₂×C₄×D₁₁	—	2	1	no	—
562	C₂×C₄×D₁₁	—	2	1	no	—
563	C₂×C₄×D₁₁	—	2	1	no	—
564	C₂×C₄×D₁₁	—	2	1	no	—
565	C₂×C₄×D₁₁	—	2	1	no	—
566	C₂×C₄×D₁₁	—	2	1	no	—
567	C₂×C₄×D₁₁	—	4	1	no	—
568	C₂×C₄×D₁₁	—	4	1	no	—
569	C₂×C₄×D₁₁	—	4	1	no	—
570	C₂×C₄×D₁₁	—	4	1	no	—
571	C₂×C₄×D₁₁	—	4	4	no	—
572	C₂×C₄×D₁₁	—	4	4	no	—
573	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
574	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
575	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
576	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
577	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
578	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
579	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
580	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
581	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
582	C₂×Dic₂₂	—	2	1	no	—
583	C₂×Dic₂₂	—	2	2	no	—
584	C₂×Dic₂₂	—	2	2	no	—
585	C₂×Dic₂₂	—	2	1	no	—
586	C₂×Dic₂₂	—	2	1	no	—
587	C₂×Dic₂₂	—	2	1	no	—
588	C₂×Dic₂₂	—	2	1	no	—
589	C₂×Dic₂₂	—	2	1	no	—
590	C₂×Dic₂₂	—	2	1	no	—
591	C₂×Dic₂₂	—	2	1	no	—
592	C₂×Dic₂₂	—	2	1	no	—
593	C₂×Dic₂₂	—	2	1	no	—
594	C₂×Dic₂₂	—	4	1	no	—
595	C₂×Dic₂₂	—	4	1	no	—
596	C₂×Dic₂₂	—	4	1	no	—
597	C₂×Dic₂₂	—	4	1	no	—
598	C₂×Dic₂₂	—	4	4	no	—
599	C₂×Dic₂₂	—	4	4	no	—
600	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
602	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
603	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
605	C₁₁×SD₁₆	—	2	2	no	—
606	C₁₁×SD₁₆	—	4	1	no	—
607	C₁₁×SD₁₆	—	4	1	no	—
608	C₁₁×M₁₆	—	4	1	no	—
609	C₂×C₈×C₁₁	—	4	1	no	—
610	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
611	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
612	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
613	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
614	C₁₁×C₄⋊C₄	—	2	1	no	—
615	C₁₁×C₄⋊C₄	—	2	1	no	—
616	C₁₁×C₄⋊C₄	—	2	1	no	—
617	C₁₁×C₄⋊C₄	—	2	1	no	—
618	C₁₁×C₄⋊C₄	—	2	1	no	—
619	C₁₁×C₄⋊C₄	—	2	1	no	—
620	C₁₁×C₄⋊C₄	—	2	1	no	—
621	C₁₁×C₄⋊C₄	—	2	1	no	—
622	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
623	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
624	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
625	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
626	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
627	C₁₁×C₂²⋊C₄	—	2	1	no	—
628	C₁₁×C₂²⋊C₄	—	2	1	no	—
629	C₁₁×C₂²⋊C₄	—	2	1	no	—
630	C₁₁×C₂²⋊C₄	—	2	1	no	—
631	C₁₁×C₂²⋊C₄	—	2	1	no	—
632	C₁₁×C₂²⋊C₄	—	2	1	no	—
633	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
634	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
635	C₄²×C₁₁	—	2	1	no	—
636	C₄²×C₁₁	—	2	1	no	—
637	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
638	C₂²⋊Dic₁₁	—	2	1	no	—
639	C₂²⋊Dic₁₁	—	2	1	no	—
640	C₂²⋊Dic₁₁	—	2	1	no	—
641	C₂²⋊Dic₁₁	—	2	1	no	—
642	C₂²⋊Dic₁₁	—	2	1	no	—
643	C₂²⋊Dic₁₁	—	2	1	no	—
644	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
645	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
646	#4326	—	2	2	no	—
647	#4326	—	2	2	no	—
648	#4326	—	4	1	no	—
649	#4326	—	4	1	no	—
650	#4326	—	4	1	no	—
651	#4326	—	4	1	no	—
652	#4325	—	2	2	no	—
653	#4325	—	4	1	no	—
654	#4325	—	4	1	no	—
655	#4324	—	2	2	no	—
656	#4324	—	4	1	no	—
657	#4324	—	4	1	no	—
658	(C₂×D₁₁)⋊C₄	—	2	1	no	—
659	(C₂×D₁₁)⋊C₄	—	2	1	no	—
660	(C₂×D₁₁)⋊C₄	—	2	1	no	—
661	(C₂×D₁₁)⋊C₄	—	2	1	no	—
662	(C₂×D₁₁)⋊C₄	—	2	1	no	—
663	(C₂×D₁₁)⋊C₄	—	2	1	no	—
664	(C₂×D₁₁)⋊C₄	—	2	1	no	—
665	(C₂×D₁₁)⋊C₄	—	2	1	no	—
666	(C₂×D₁₁)⋊C₄	—	2	1	no	—
667	(C₂×D₁₁)⋊C₄	—	2	1	no	—
668	(C₂×D₁₁)⋊C₄	—	2	1	no	—
669	(C₂×D₁₁)⋊C₄	—	2	1	no	—
670	(C₂×D₁₁)⋊C₄	—	2	1	no	—
671	(C₂×D₁₁)⋊C₄	—	2	1	no	—
672	(C₂×D₁₁)⋊C₄	—	2	1	no	—
673	(C₂×D₁₁)⋊C₄	—	2	1	no	—
674	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
675	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
676	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
677	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
678	C₄⋊Dic₁₁	—	2	1	no	—
679	C₄⋊Dic₁₁	—	2	1	no	—
680	C₄⋊Dic₁₁	—	2	1	no	—
681	C₄⋊Dic₁₁	—	2	1	no	—
682	C₄⋊Dic₁₁	—	2	1	no	—
683	C₄⋊Dic₁₁	—	2	1	no	—
684	C₄⋊Dic₁₁	—	2	1	no	—
685	C₄⋊Dic₁₁	—	2	1	no	—
686	C₄⋊Dic₁₁	—	2	1	no	—
687	C₄⋊Dic₁₁	—	2	1	no	—
688	C₄⋊Dic₁₁	—	2	1	no	—
689	C₄⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
690	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
691	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
692	Dic₁₁⋊C₄	—	2	1	no	—
693	Dic₁₁⋊C₄	—	2	1	no	—
694	Dic₁₁⋊C₄	—	2	1	no	—
695	Dic₁₁⋊C₄	—	2	1	no	—
696	Dic₁₁⋊C₄	—	2	1	no	—
697	Dic₁₁⋊C₄	—	2	1	no	—
698	Dic₁₁⋊C₄	—	2	1	no	—
699	Dic₁₁⋊C₄	—	2	1	no	—
700	Dic₁₁⋊C₄	—	2	1	no	—
701	Dic₁₁⋊C₄	—	2	1	no	—
702	Dic₁₁⋊C₄	—	2	1	no	—
703	Dic₁₁⋊C₄	—	2	1	no	—
704	Dic₁₁⋊C₄	—	2	1	no	—
705	Dic₁₁⋊C₄	—	2	1	no	—
706	Dic₁₁⋊C₄	—	2	1	no	—
707	Dic₁₁⋊C₄	—	2	1	no	—
708	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
709	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
710	C₄×Dic₁₁	—	2	1	no	—
711	C₄×Dic₁₁	—	2	1	no	—
712	C₄×Dic₁₁	—	2	1	no	—
713	C₄×Dic₁₁	—	2	1	no	—
714	C₄×Dic₁₁	—	2	1	no	—
715	C₄×Dic₁₁	—	2	1	no	—
716	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
718	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
719	#4318	—	4	1	no	—
720	C₂×C₁₁⋊C₈	—	4	1	no	—
721	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
722	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
723	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
724	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
725	Dic₄₄	—	2	2	no	—
726	Dic₄₄	—	2	2	no	—
727	Dic₄₄	—	4	1	no	—
728	Dic₄₄	—	4	1	no	—
729	Dic₄₄	—	4	1	no	—
730	Dic₄₄	—	4	1	no	—
731	#4314	—	2	2	no	—
732	#4314	—	4	1	no	—
733	#4314	—	4	1	no	—
734	#4313	—	4	1	no	—
735	#4313	—	4	1	no	—
736	C₈×D₁₁	—	4	1	no	—
737	C₈×D₁₁	—	4	1	no	—
738	#3505	—	11	1	no	—
739	C₂×D₄×Q₈	—	11	1	no	—
740	#3320	—	11	1	no	—
741	#3320	—	11	1	no	—
742	#3320	—	11	1	no	—
743	#3320	D₁₁	1	1	yes	characteristic, complemented
744	#3312	—	11	1	no	—
745	#3312	—	11	1	no	—
746	#3312	—	11	1	no	—
747	#3312	—	11	1	no	—
748	#3270	—	11	1	no	—
749	#3270	—	11	1	no	—
750	#3270	—	11	1	no	—
751	#3270	—	11	1	no	—
752	#3266	—	11	1	no	—
753	#3266	—	11	1	no	—
754	#3266	—	11	1	no	—
755	#3266	—	11	1	no	—
756	#3218	—	11	1	no	—
757	#3218	—	11	1	no	—
758	#3196	—	11	1	no	—
759	#3196	—	11	1	no	—
760	#3189	—	11	1	no	—
761	#3187	—	11	1	no	—
762	#3117	—	11	1	no	—
763	#3117	—	11	1	no	—
764	#3004	—	11	1	no	—
765	#3004	—	11	1	no	—
766	C₂×#451	—	11	1	no	—
767	C₂×#448	—	11	1	no	—
768	#2973	—	11	1	no	—
769	C₂³×C₁₁	—	2	1	no	—
770	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
771	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
772	C₂²×D₁₁	—	2	2	no	—
773	C₂²×D₁₁	—	2	1	no	—
774	C₂²×D₁₁	—	4	1	no	—
775	C₂²×D₁₁	—	4	1	no	—
776	C₂²×D₁₁	—	4	1	no	—
777	C₂²×D₁₁	—	4	1	no	—
778	C₂²×D₁₁	—	4	2	no	—
779	C₂²×D₁₁	—	8	1	no	—
780	C₂²×D₁₁	—	8	1	no	—
781	C₂²×D₁₁	#137	1	4	yes	complemented
782	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
783	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
784	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
785	Q₈×C₁₁	—	2	1	no	—
786	Q₈×C₁₁	—	2	1	no	—
787	Q₈×C₁₁	—	2	1	no	—
788	Q₈×C₁₁	—	2	1	no	—
789	Q₈×C₁₁	—	2	1	no	—
790	Q₈×C₁₁	—	4	2	no	—
791	Q₈×C₁₁	—	4	2	no	—
792	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
793	D₄×C₁₁	—	2	2	no	—
794	D₄×C₁₁	—	2	1	no	—
795	D₄×C₁₁	—	2	1	no	—
796	D₄×C₁₁	—	4	2	no	—
797	D₄×C₁₁	—	8	1	no	—
798	C₂×C₄×C₁₁	—	2	1	no	—
799	C₂×C₄×C₁₁	—	2	1	no	—
800	C₂×C₄×C₁₁	—	2	1	no	—
801	C₂×C₄×C₁₁	—	2	1	no	—
802	C₂×C₄×C₁₁	—	2	1	no	—
803	C₂×C₄×C₁₁	—	2	1	no	—
804	C₂×C₄×C₁₁	—	2	1	no	—
805	C₂×C₄×C₁₁	—	2	1	no	—
806	C₂×C₄×C₁₁	—	2	1	no	—
807	C₂×C₄×C₁₁	—	2	1	no	—
808	C₂×C₄×C₁₁	—	2	1	no	—
809	C₂×C₄×C₁₁	—	4	2	no	—
810	C₂×C₄×C₁₁	—	4	2	no	—
811	C₂×C₄×C₁₁	—	8	1	no	—
812	C₂×C₄×C₁₁	—	8	1	no	—
813	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
817	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
818	C₂²⋊D₁₁	—	2	2	no	—
819	C₂²⋊D₁₁	—	2	2	no	—
820	C₂²⋊D₁₁	—	4	2	no	—
821	C₂²⋊D₁₁	—	4	2	no	—
822	C₂²⋊D₁₁	—	8	1	no	—
823	C₂²⋊D₁₁	—	8	1	no	—
824	C₂²⋊D₁₁	—	8	1	no	—
825	C₂×Dic₁₁	—	2	1	no	—
826	C₂×Dic₁₁	—	2	1	no	—
827	C₂×Dic₁₁	—	2	1	no	—
828	C₂×Dic₁₁	—	2	1	no	—
829	C₂×Dic₁₁	—	2	1	no	—
830	C₂×Dic₁₁	—	2	1	no	—
831	C₂×Dic₁₁	—	2	1	no	—
832	C₂×Dic₁₁	—	4	1	no	—
833	C₂×Dic₁₁	—	4	1	no	—
834	C₂×Dic₁₁	—	4	2	no	—
835	C₂×Dic₁₁	—	4	2	no	—
836	C₂×Dic₁₁	—	8	1	no	—
837	C₂×Dic₁₁	—	8	1	no	—
838	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
839	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
840	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
841	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
842	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
843	D₄₄	—	2	2	no	—
844	D₄₄	—	2	1	no	—
845	D₄₄	—	2	1	no	—
846	D₄₄	—	4	2	no	—
847	D₄₄	—	8	1	no	—
848	C₄×D₁₁	—	2	4	no	—
849	C₄×D₁₁	—	2	2	no	—
850	C₄×D₁₁	—	2	1	no	—
851	C₄×D₁₁	—	2	1	no	—
852	C₄×D₁₁	—	2	1	no	—
853	C₄×D₁₁	—	2	1	no	—
854	C₄×D₁₁	—	2	1	no	—
855	C₄×D₁₁	—	2	1	no	—
856	C₄×D₁₁	—	4	1	no	—
857	C₄×D₁₁	—	4	1	no	—
858	C₄×D₁₁	—	4	1	no	—
859	C₄×D₁₁	—	4	1	no	—
860	C₄×D₁₁	—	4	1	no	—
861	C₄×D₁₁	—	4	2	no	—
862	C₄×D₁₁	—	4	2	no	—
863	C₄×D₁₁	—	4	2	no	—
864	C₄×D₁₁	—	4	2	no	—
865	C₄×D₁₁	—	4	2	no	—
866	C₄×D₁₁	—	4	2	no	—
867	C₄×D₁₁	—	4	2	no	—
868	C₄×D₁₁	—	4	2	no	—
869	C₄×D₁₁	—	8	1	no	—
870	C₄×D₁₁	—	8	1	no	—
871	Dic₂₂	—	2	4	no	—
872	Dic₂₂	—	2	1	no	—
873	Dic₂₂	—	2	1	no	—
874	Dic₂₂	—	2	1	no	—
875	Dic₂₂	—	2	1	no	—
876	Dic₂₂	—	2	1	no	—
877	Dic₂₂	—	2	1	no	—
878	Dic₂₂	—	2	1	no	—
879	Dic₂₂	—	2	1	no	—
880	Dic₂₂	—	2	1	no	—
881	Dic₂₂	—	4	2	no	—
882	Dic₂₂	—	4	2	no	—
883	Dic₂₂	—	4	2	no	—
884	Dic₂₂	—	4	2	no	—
885	Dic₂₂	—	4	2	no	—
886	Dic₂₂	—	4	2	no	—
887	Dic₂₂	—	4	2	no	—
888	Dic₂₂	—	4	2	no	—
889	Dic₂₂	—	8	1	no	—
890	Dic₂₂	H(5,𝔽₂)	1	2	yes	—
891	C₈×C₁₁	—	2	1	no	—
892	C₈×C₁₁	—	2	1	no	—
893	C₈×C₁₁	—	2	1	no	—
894	C₈×C₁₁	—	2	1	no	—
895	C₁₁⋊C₈	—	2	1	no	—
896	C₁₁⋊C₈	—	2	1	no	—
897	C₁₁⋊C₈	—	2	1	no	—
898	C₁₁⋊C₈	—	2	1	no	—
899	C₂³×Q₈	—	11	1	no	—
900	C₂³×Q₈	—	11	1	no	—
901	C₂×#137	—	11	1	no	—
902	C₂×#137	—	11	1	no	—
903	C₂×#137	—	11	1	no	—
904	C₂×#137	—	11	1	no	—
905	C₂²×Q₁₆	—	11	1	no	—
906	C₂²×Q₁₆	—	11	1	no	—
907	C₂²×SD₁₆	—	11	1	no	—
908	C₂²×SD₁₆	—	11	1	no	—
909	#553	—	11	1	no	—
910	#553	—	22	1	no	—
911	#553	—	22	1	no	—
912	#553	C₂×D₁₁	1	1	yes	characteristic
913	#552	—	11	1	no	—
914	#552	—	11	1	no	—
915	#551	—	22	1	no	—
916	#551	—	22	1	no	—
917	D₄×Q₈	—	11	1	no	—
918	D₄×Q₈	—	11	1	no	—
919	D₄×Q₈	—	11	1	no	—
920	D₄×Q₈	—	11	1	no	—
921	D₄×Q₈	—	11	1	no	—
922	D₄×Q₈	—	11	1	no	—
923	D₄×Q₈	—	11	1	no	—
924	D₄×Q₈	—	22	1	no	—
925	D₄×Q₈	—	22	1	no	—
926	D₄×Q₈	—	22	1	no	—
927	D₄×Q₈	—	22	1	no	—
928	D₄×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
929	#548	—	11	1	no	—
930	#548	—	11	1	no	—
931	#546	—	11	1	no	—
932	#546	—	11	1	no	—
933	#539	—	22	1	no	—
934	#538	—	22	1	no	—
935	#534	—	22	1	no	—
936	C₂×C₄⋊Q₈	—	11	1	no	—
937	C₂×C₄⋊Q₈	—	22	1	no	—
938	#529	—	11	1	no	—
939	#529	—	11	1	no	—
940	#525	—	11	1	no	—
941	#525	—	11	1	no	—
942	C₂×C₂²⋊Q₈	—	11	1	no	—
943	C₂×C₂²⋊Q₈	—	11	1	no	—
944	C₂×C₂²⋊Q₈	—	11	1	no	—
945	C₂×C₂²⋊Q₈	—	22	1	no	—
946	C₂×C₂²⋊Q₈	—	22	1	no	—
947	C₂×#121	—	11	1	no	—
948	#518	—	22	1	no	—
949	C₂×C₄×Q₈	—	11	1	no	—
950	C₂×C₄×D₄	—	11	1	no	—
951	C₂×C₄×D₄	—	22	1	no	—
952	#497	—	11	1	no	—
953	#497	—	11	1	no	—
954	#497	—	11	1	no	—
955	#497	—	11	1	no	—
956	#491	—	11	1	no	—
957	#491	—	11	1	no	—
958	#491	—	11	1	no	—
959	#491	C₂×D₁₁	1	1	yes	characteristic, complemented
960	#485	—	11	1	no	—
961	#485	—	11	1	no	—
962	#485	—	11	1	no	—
963	#485	C₂×D₁₁	1	1	yes	characteristic, complemented
964	#484	—	11	1	no	—
965	#484	—	11	1	no	—
966	#484	—	11	1	no	—
967	#484	C₂×D₁₁	1	1	yes	characteristic, complemented
968	#483	—	11	1	no	—
969	#483	—	11	1	no	—
970	#481	—	11	1	no	—
971	#481	—	11	1	no	—
972	#479	—	11	1	no	—
973	#479	—	11	1	no	—
974	#479	—	11	1	no	—
975	#479	C₂×D₁₁	1	1	yes	characteristic, complemented
976	#470	—	11	1	no	—
977	#470	—	11	1	no	—
978	#470	—	11	1	no	—
979	#470	—	11	1	no	—
980	#468	—	11	1	no	—
981	#468	—	11	1	no	—
982	#468	—	11	1	no	—
983	#468	C₂×D₁₁	1	1	yes	characteristic, complemented
984	#467	—	11	1	no	—
985	#467	—	11	1	no	—
986	#467	—	11	1	no	—
987	#467	—	11	1	no	—
988	#465	—	11	1	no	—
989	#465	—	11	1	no	—
990	#465	—	11	1	no	—
991	#465	C₂×D₁₁	1	1	yes	characteristic, complemented
992	#464	—	11	1	no	—
993	#464	—	11	1	no	—
994	#464	—	11	1	no	—
995	#464	—	11	1	no	—
996	#462	—	11	1	no	—
997	#462	—	11	1	no	—
998	#462	—	11	1	no	—
999	#462	—	11	1	no	—
1000	#461	—	11	1	no	—
1001	#461	—	11	1	no	—
1002	#461	—	11	1	no	—
1003	#461	C₂×D₁₁	1	1	yes	characteristic, complemented
1004	#452	—	11	1	no	—
1005	#452	—	11	1	no	—
1006	#452	—	11	1	no	—
1007	#452	—	11	1	no	—
1008	#451	—	11	1	no	—
1009	#451	—	11	1	no	—
1010	#451	—	11	1	no	—
1011	#451	—	11	1	no	—
1012	#451	—	11	1	no	—
1013	#451	—	11	1	no	—
1014	#451	—	11	1	no	—
1015	#451	—	11	1	no	—
1016	#451	—	11	1	no	—
1017	#451	—	11	1	no	—
1018	#451	—	11	1	no	—
1019	#451	—	11	1	no	—
1020	#451	—	11	1	no	—
1021	#451	—	11	1	no	—
1022	#451	—	11	1	no	—
1023	#451	—	11	1	no	—
1024	#450	—	11	1	no	—
1025	#450	—	11	1	no	—
1026	#448	—	11	1	no	—
1027	#448	—	11	1	no	—
1028	#448	—	11	1	no	—
1029	#448	—	11	1	no	—
1030	#448	—	11	1	no	—
1031	#448	—	11	1	no	—
1032	#448	—	11	1	no	—
1033	#448	—	11	1	no	—
1034	#448	—	11	1	no	—
1035	#448	—	11	1	no	—
1036	#448	—	11	1	no	—
1037	#448	—	11	1	no	—
1038	#448	C₂×D₁₁	1	1	yes	characteristic, complemented
1039	#448	C₂×D₁₁	1	1	yes	characteristic, complemented
1040	#441	—	11	1	no	—
1041	#441	—	11	1	no	—
1042	#441	—	11	1	no	—
1043	#441	—	11	1	no	—
1044	#440	—	11	1	no	—
1045	#440	—	11	1	no	—
1046	#440	—	11	1	no	—
1047	#440	C₂×D₁₁	1	1	yes	characteristic, complemented
1048	#435	—	11	1	no	—
1049	#435	—	11	1	no	—
1050	#435	—	11	1	no	—
1051	#435	—	11	1	no	—
1052	#435	—	11	1	no	—
1053	#435	—	11	1	no	—
1054	#435	—	11	1	no	—
1055	#435	C₂×D₁₁	1	1	yes	characteristic, complemented
1056	#432	—	11	1	no	—
1057	#432	—	11	1	no	—
1058	#419	—	11	1	no	—
1059	#419	—	11	1	no	—
1060	#419	—	11	1	no	—
1061	#419	C₂×D₁₁	1	1	yes	characteristic, complemented
1062	C₂×#103	—	11	1	no	—
1063	C₂×#103	—	11	1	no	—
1064	C₂×#103	—	11	1	no	—
1065	C₂×#103	C₂×D₁₁	1	1	yes	characteristic, complemented
1066	#407	—	11	1	no	—
1067	#407	—	11	1	no	—
1068	C₂×C₂²⋊C₈	—	11	1	no	—
1069	C₂×C₂²⋊C₈	—	11	1	no	—
1070	C₂²×C₁₁	—	2	1	no	—
1071	C₂²×C₁₁	—	2	1	no	—
1072	C₂²×C₁₁	—	2	1	no	—
1073	C₂²×C₁₁	—	2	1	no	—
1074	C₂²×C₁₁	—	2	1	no	—
1075	C₂²×C₁₁	—	4	1	no	—
1076	C₂²×C₁₁	—	4	1	no	—
1077	C₂²×C₁₁	—	4	1	no	—
1078	C₂²×C₁₁	C₂×#137	1	2	yes	—
1079	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
1080	C₂×D₁₁	—	2	1	no	—
1081	C₂×D₁₁	—	2	1	no	—
1082	C₂×D₁₁	—	2	1	no	—
1083	C₂×D₁₁	—	2	1	no	—
1084	C₂×D₁₁	—	2	1	no	—
1085	C₂×D₁₁	—	2	1	no	—
1086	C₂×D₁₁	—	2	1	no	—
1087	C₂×D₁₁	—	4	4	no	—
1088	C₂×D₁₁	—	4	4	no	—
1089	C₂×D₁₁	—	4	1	no	—
1090	C₂×D₁₁	—	4	1	no	—
1091	C₂×D₁₁	—	4	1	no	—
1092	C₂×D₁₁	—	16	2	no	—
1093	C₂×D₁₁	C₂×#137	1	2	yes	—
1094	C₂×D₁₁	C₂×#137	1	2	yes	—
1095	C₄×C₁₁	—	2	1	no	—
1096	C₄×C₁₁	—	2	1	no	—
1097	C₄×C₁₁	—	2	1	no	—
1098	C₄×C₁₁	—	2	2	no	—
1099	C₄×C₁₁	—	2	1	no	—
1100	C₄×C₁₁	—	4	1	no	—
1101	C₄×C₁₁	—	4	1	no	—
1102	C₄×C₁₁	—	4	1	no	—
1103	C₄×C₁₁	—	4	1	no	—
1104	C₄×C₁₁	—	4	1	no	—
1105	C₄×C₁₁	—	4	1	no	—
1106	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1107	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1108	Dic₁₁	—	2	1	no	—
1109	Dic₁₁	—	2	1	no	—
1110	Dic₁₁	—	2	2	no	—
1111	Dic₁₁	—	2	1	no	—
1112	Dic₁₁	—	2	1	no	—
1113	Dic₁₁	—	2	1	no	—
1114	Dic₁₁	—	4	1	no	—
1115	Dic₁₁	—	4	1	no	—
1116	Dic₁₁	—	4	1	no	—
1117	Dic₁₁	—	4	1	no	—
1118	Dic₁₁	—	4	1	no	—
1119	Dic₁₁	—	4	1	no	—
1120	C₂×#41	—	11	1	no	—
1121	C₂×#41	—	11	1	no	—
1122	C₂²×Q₈	—	11	1	no	—
1123	C₂²×Q₈	—	11	1	no	—
1124	C₂²×Q₈	—	11	1	no	—
1125	C₂²×Q₈	—	11	1	no	—
1126	C₂²×Q₈	—	11	1	no	—
1127	C₂²×Q₈	—	11	1	no	—
1128	C₂²×Q₈	—	11	1	no	—
1129	C₂²×Q₈	—	11	1	no	—
1130	C₂²×Q₈	—	11	1	no	—
1131	C₂²×Q₈	—	11	1	no	—
1132	C₂²×Q₈	—	22	1	no	—
1133	C₂²×Q₈	—	22	1	no	—
1134	C₂²×Q₈	—	22	1	no	—
1135	C₂²×Q₈	—	22	1	no	—
1136	C₂²×Q₈	—	22	1	no	—
1137	C₂²×Q₈	—	22	1	no	—
1138	C₂²×Q₈	—	44	2	no	—
1139	C₂²×Q₈	—	44	2	no	—
1140	C₂²×Q₈	—	44	2	no	—
1141	C₂²×Q₈	—	44	2	no	—
1142	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1143	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1144	C₂²×D₄	—	11	1	no	—
1145	C₂²×D₄	—	11	1	no	—
1146	C₂²×D₄	—	22	1	no	—
1147	C₂³×C₄	—	11	1	no	—
1148	C₂³×C₄	—	11	1	no	—
1149	C₂³×C₄	—	22	1	no	—
1150	C₂³×C₄	—	22	1	no	—
1151	#137	—	44	2	no	—
1152	#137	—	44	2	no	—
1153	#137	—	44	2	no	—
1154	#137	—	44	2	no	—
1155	C₂×Q₁₆	—	11	1	no	—
1156	C₂×Q₁₆	—	11	1	no	—
1157	C₂×Q₁₆	—	11	1	no	—
1158	C₂×Q₁₆	—	11	1	no	—
1159	C₂×Q₁₆	—	11	1	no	—
1160	C₂×Q₁₆	—	11	1	no	—
1161	C₂×Q₁₆	—	11	1	no	—
1162	C₂×Q₁₆	—	11	1	no	—
1163	C₂×Q₁₆	—	11	1	no	—
1164	C₂×Q₁₆	—	11	1	no	—
1165	C₂×Q₁₆	—	11	1	no	—
1166	C₂×Q₁₆	—	11	1	no	—
1167	C₂×Q₁₆	—	44	2	no	—
1168	C₂×Q₁₆	—	44	2	no	—
1169	C₂×SD₁₆	—	11	1	no	—
1170	C₂×SD₁₆	—	11	1	no	—
1171	C₂×SD₁₆	—	11	1	no	—
1172	C₂×SD₁₆	—	11	1	no	—
1173	C₂×SD₁₆	—	11	1	no	—
1174	C₂×SD₁₆	—	11	1	no	—
1175	C₂×SD₁₆	—	11	1	no	—
1176	C₂×SD₁₆	—	11	1	no	—
1177	C₂×SD₁₆	—	11	1	no	—
1178	C₂×SD₁₆	—	44	2	no	—
1179	C₂×SD₁₆	—	44	2	no	—
1180	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1181	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1182	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1183	C₂×M₁₆	—	11	1	no	—
1184	C₂×M₁₆	—	11	1	no	—
1185	C₂×M₁₆	—	11	1	no	—
1186	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
1187	C₂²×C₈	—	11	1	no	—
1188	C₂²×C₈	—	11	1	no	—
1189	C₂²×C₈	—	11	1	no	—
1190	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
1191	C₄⋊Q₈	—	2	1	no	—
1192	C₄⋊Q₈	—	11	1	no	—
1193	C₄⋊Q₈	—	11	1	no	—
1194	C₄⋊Q₈	—	11	1	no	—
1195	C₄⋊Q₈	—	22	1	no	—
1196	C₄⋊Q₈	—	22	1	no	—
1197	C₄⋊Q₈	—	22	1	no	—
1198	C₄⋊Q₈	—	22	1	no	—
1199	C₄⋊Q₈	—	22	1	no	—
1200	C₄⋊Q₈	—	22	1	no	—
1201	C₄⋊Q₈	—	22	1	no	—
1202	C₄⋊Q₈	—	22	1	no	—
1203	C₄⋊Q₈	—	22	1	no	—
1204	C₄⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1205	#126	—	2	1	no	—
1206	#126	—	22	1	no	—
1207	#126	—	22	1	no	—
1208	#126	—	22	1	no	—
1209	#126	—	22	1	no	—
1210	#126	—	22	1	no	—
1211	#125	—	11	1	no	—
1212	#125	—	22	1	no	—
1213	#125	—	22	1	no	—
1214	#125	C₂²×D₁₁	1	1	yes	characteristic
1215	#124	—	11	1	no	—
1216	#124	—	11	1	no	—
1217	#124	—	22	1	no	—
1218	#124	—	22	1	no	—
1219	#123	—	2	1	no	—
1220	#123	—	22	1	no	—
1221	#123	—	22	1	no	—
1222	#123	—	22	1	no	—
1223	#123	—	22	1	no	—
1224	#123	—	22	1	no	—
1225	#123	—	22	1	no	—
1226	#123	—	22	1	no	—
1227	#123	—	22	1	no	—
1228	#123	—	22	1	no	—
1229	C₂²⋊Q₈	—	2	1	no	—
1230	C₂²⋊Q₈	—	2	1	no	—
1231	C₂²⋊Q₈	—	11	1	no	—
1232	C₂²⋊Q₈	—	11	1	no	—
1233	C₂²⋊Q₈	—	11	1	no	—
1234	C₂²⋊Q₈	—	11	1	no	—
1235	C₂²⋊Q₈	—	11	1	no	—
1236	C₂²⋊Q₈	—	11	1	no	—
1237	C₂²⋊Q₈	—	11	1	no	—
1238	C₂²⋊Q₈	—	11	1	no	—
1239	C₂²⋊Q₈	—	11	1	no	—
1240	C₂²⋊Q₈	—	11	1	no	—
1241	C₂²⋊Q₈	—	11	1	no	—
1242	C₂²⋊Q₈	—	11	1	no	—
1243	C₂²⋊Q₈	—	22	1	no	—
1244	C₂²⋊Q₈	—	22	1	no	—
1245	C₂²⋊Q₈	—	22	1	no	—
1246	C₂²⋊Q₈	—	22	1	no	—
1247	C₂²⋊Q₈	—	22	1	no	—
1248	C₂²⋊Q₈	—	22	1	no	—
1249	C₂²⋊Q₈	—	22	1	no	—
1250	C₂²⋊Q₈	—	22	1	no	—
1251	C₂²⋊Q₈	—	22	1	no	—
1252	C₂²⋊Q₈	—	22	1	no	—
1253	C₂²⋊Q₈	—	22	1	no	—
1254	C₂²⋊Q₈	—	22	1	no	—
1255	C₂²⋊Q₈	—	22	1	no	—
1256	C₂²⋊Q₈	—	22	1	no	—
1257	C₂²⋊Q₈	—	22	1	no	—
1258	C₂²⋊Q₈	—	22	1	no	—
1259	C₂²⋊Q₈	—	22	1	no	—
1260	C₂²⋊Q₈	—	22	1	no	—
1261	C₂²⋊Q₈	—	22	1	no	—
1262	C₂²⋊Q₈	—	22	1	no	—
1263	C₂²⋊Q₈	—	22	1	no	—
1264	C₂²⋊Q₈	—	22	1	no	—
1265	C₂²⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1266	C₂²⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1267	#121	—	2	1	no	—
1268	#121	—	11	1	no	—
1269	#121	—	11	1	no	—
1270	#121	—	11	1	no	—
1271	#121	—	11	1	no	—
1272	#121	—	22	1	no	—
1273	#121	—	22	1	no	—
1274	#121	—	22	1	no	—
1275	#121	—	22	1	no	—
1276	#121	—	22	1	no	—
1277	#121	—	22	1	no	—
1278	#121	—	22	1	no	—
1279	#121	C₂²×D₁₁	1	1	yes	characteristic
1280	#121	C₂²×D₁₁	1	1	yes	characteristic
1281	#120	—	22	1	no	—
1282	#120	—	22	1	no	—
1283	#120	—	22	1	no	—
1284	#120	—	22	1	no	—
1285	C₄×Q₈	—	11	1	no	—
1286	C₄×Q₈	—	11	1	no	—
1287	C₄×Q₈	—	11	1	no	—
1288	C₄×Q₈	—	11	1	no	—
1289	C₄×Q₈	—	11	1	no	—
1290	C₄×Q₈	—	22	1	no	—
1291	C₄×Q₈	—	22	1	no	—
1292	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1293	C₄×D₄	—	2	1	no	—
1294	C₄×D₄	—	2	1	no	—
1295	C₄×D₄	—	11	1	no	—
1296	C₄×D₄	—	11	1	no	—
1297	C₄×D₄	—	11	1	no	—
1298	C₄×D₄	—	11	1	no	—
1299	C₄×D₄	—	11	1	no	—
1300	C₄×D₄	—	11	1	no	—
1301	C₄×D₄	—	11	1	no	—
1302	C₄×D₄	—	11	1	no	—
1303	C₄×D₄	—	22	1	no	—
1304	C₄×D₄	—	22	1	no	—
1305	C₄×D₄	—	22	1	no	—
1306	C₄×D₄	—	22	1	no	—
1307	C₄×D₄	—	22	1	no	—
1308	C₄×D₄	—	22	1	no	—
1309	C₄×D₄	—	22	1	no	—
1310	C₄×D₄	—	22	1	no	—
1311	C₄×D₄	—	22	1	no	—
1312	C₄×D₄	—	22	1	no	—
1313	C₄×D₄	—	22	1	no	—
1314	C₄×D₄	—	22	1	no	—
1315	C₄×D₄	—	22	1	no	—
1316	C₄×D₄	—	22	1	no	—
1317	C₄×D₄	—	22	1	no	—
1318	C₄×D₄	—	22	1	no	—
1319	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1320	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1321	#117	—	11	1	no	—
1322	#117	—	22	1	no	—
1323	#117	—	22	1	no	—
1324	#117	—	22	1	no	—
1325	#117	—	22	1	no	—
1326	#117	C₂²×D₁₁	1	1	yes	characteristic
1327	C₂×C₄⋊C₄	—	11	1	no	—
1328	C₂×C₄⋊C₄	—	11	1	no	—
1329	C₂×C₄⋊C₄	—	11	1	no	—
1330	C₂×C₄⋊C₄	—	22	1	no	—
1331	C₂×C₄⋊C₄	—	22	1	no	—
1332	C₂×C₄⋊C₄	—	22	1	no	—
1333	C₂×C₄⋊C₄	—	22	1	no	—
1334	C₂×C₄⋊C₄	—	22	1	no	—
1335	C₂×C₄⋊C₄	—	22	1	no	—
1336	C₂×C₄⋊C₄	C₂²×D₁₁	1	1	yes	characteristic
1337	C₂×C₂²⋊C₄	—	11	1	no	—
1338	C₂×C₂²⋊C₄	—	11	1	no	—
1339	C₂×C₂²⋊C₄	—	22	1	no	—
1340	C₂×C₂²⋊C₄	—	22	1	no	—
1341	C₂×C₂²⋊C₄	—	22	1	no	—
1342	C₂×C₂²⋊C₄	—	22	1	no	—
1343	C₂×C₂²⋊C₄	—	22	1	no	—
1344	C₂×C₂²⋊C₄	—	22	1	no	—
1345	C₂×C₄²	—	11	1	no	—
1346	C₂×C₄²	—	22	1	no	—
1347	#107	—	11	1	no	—
1348	#107	—	11	1	no	—
1349	#107	C₂²×D₁₁	1	1	yes	characteristic
1350	#107	C₂²×D₁₁	1	1	yes	characteristic
1351	#106	—	11	1	no	—
1352	#106	—	11	1	no	—
1353	#106	—	11	1	no	—
1354	#106	C₂²×D₁₁	1	1	yes	characteristic
1355	C₄⋊C₈	—	11	1	no	—
1356	C₄⋊C₈	—	11	1	no	—
1357	C₄⋊C₈	—	11	1	no	—
1358	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1359	#103	—	11	1	no	—
1360	#103	—	11	1	no	—
1361	#103	—	11	1	no	—
1362	#103	—	11	1	no	—
1363	#103	—	11	1	no	—
1364	#103	—	11	1	no	—
1365	#103	—	11	1	no	—
1366	#103	—	11	1	no	—
1367	#103	—	11	1	no	—
1368	#103	—	11	1	no	—
1369	#103	—	11	1	no	—
1370	#103	—	11	1	no	—
1371	#103	—	11	1	no	—
1372	#103	—	11	1	no	—
1373	#103	—	11	1	no	—
1374	#103	—	11	1	no	—
1375	#103	—	11	1	no	—
1376	#103	—	11	1	no	—
1377	#103	—	11	1	no	—
1378	#103	C₂²×D₁₁	1	1	yes	characteristic
1379	#103	C₂²×D₁₁	1	1	yes	characteristic
1380	#103	C₂²×D₁₁	1	1	yes	characteristic
1381	#103	C₂²×D₁₁	1	1	yes	characteristic
1382	#103	C₂²×D₁₁	1	1	yes	characteristic
1383	#103	C₂²×D₁₁	1	1	yes	characteristic
1384	#103	C₂²×D₁₁	1	1	yes	characteristic
1385	#103	C₂²×D₁₁	1	1	yes	characteristic
1386	#103	C₂²×D₁₁	1	1	yes	characteristic
1387	#102	—	11	1	no	—
1388	#102	—	11	1	no	—
1389	#102	—	11	1	no	—
1390	#102	C₂²×D₁₁	1	1	yes	characteristic
1391	C₂²⋊C₈	—	11	1	no	—
1392	C₂²⋊C₈	—	11	1	no	—
1393	C₂²⋊C₈	—	11	1	no	—
1394	C₂²⋊C₈	—	11	1	no	—
1395	C₂²⋊C₈	—	11	1	no	—
1396	C₂²⋊C₈	—	11	1	no	—
1397	C₂²⋊C₈	—	11	1	no	—
1398	C₂²⋊C₈	—	11	1	no	—
1399	C₂²⋊C₈	—	11	1	no	—
1400	C₂²⋊C₈	—	11	1	no	—
1401	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1402	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1403	#97	—	11	1	no	—
1404	#97	—	11	1	no	—
1405	#97	—	11	1	no	—
1406	#97	C₂²×D₁₁	1	1	yes	characteristic
1407	C₂×C₁₁	—	2	2	no	—
1408	C₂×C₁₁	—	4	1	no	—
1409	C₂×C₁₁	—	8	1	no	—
1410	C₂×C₁₁	#3484	1	1	yes	characteristic
1411	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
1412	C₂×C₁₁	#3586	1	1	yes	characteristic
1413	D₁₁	—	2	2	no	—
1414	D₁₁	—	2	2	no	—
1415	D₁₁	—	4	1	no	—
1416	D₁₁	—	8	1	no	—
1417	C₂⁴	—	11	1	no	—
1418	C₂⁴	—	11	1	no	—
1419	C₂⁴	—	22	1	no	—
1420	#41	—	44	1	no	—
1421	#41	—	44	1	no	—
1422	#41	—	44	1	no	—
1423	#41	—	44	1	no	—
1424	C₂×Q₈	—	2	1	no	—
1425	C₂×Q₈	—	2	1	no	—
1426	C₂×Q₈	—	2	2	no	—
1427	C₂×Q₈	—	2	2	no	—
1428	C₂×Q₈	—	4	1	no	—
1429	C₂×Q₈	—	4	1	no	—
1430	C₂×Q₈	—	11	1	no	—
1431	C₂×Q₈	—	11	1	no	—
1432	C₂×Q₈	—	11	1	no	—
1433	C₂×Q₈	—	11	1	no	—
1434	C₂×Q₈	—	11	1	no	—
1435	C₂×Q₈	—	22	1	no	—
1436	C₂×Q₈	—	22	1	no	—
1437	C₂×Q₈	—	22	1	no	—
1438	C₂×Q₈	—	22	1	no	—
1439	C₂×Q₈	—	22	1	no	—
1440	C₂×Q₈	—	22	1	no	—
1441	C₂×Q₈	—	22	1	no	—
1442	C₂×Q₈	—	22	2	no	—
1443	C₂×Q₈	—	22	2	no	—
1444	C₂×Q₈	—	22	2	no	—
1445	C₂×Q₈	—	22	2	no	—
1446	C₂×Q₈	—	22	1	no	—
1447	C₂×Q₈	—	22	1	no	—
1448	C₂×Q₈	—	22	1	no	—
1449	C₂×Q₈	—	22	2	no	—
1450	C₂×Q₈	—	22	2	no	—
1451	C₂×Q₈	—	22	2	no	—
1452	C₂×Q₈	—	22	2	no	—
1453	C₂×Q₈	—	44	1	no	—
1454	C₂×Q₈	—	44	1	no	—
1455	C₂×Q₈	—	44	1	no	—
1456	C₂×Q₈	—	44	1	no	—
1457	C₂×Q₈	—	44	4	no	—
1458	C₂×Q₈	—	44	4	no	—
1459	C₂×Q₈	—	44	1	no	—
1460	C₂×Q₈	—	44	1	no	—
1461	C₂×Q₈	—	44	1	no	—
1462	C₂×Q₈	—	44	1	no	—
1463	C₂×Q₈	—	44	1	no	—
1464	C₂×Q₈	—	44	1	no	—
1465	C₂×Q₈	—	44	1	no	—
1466	C₂×Q₈	—	44	1	no	—
1467	C₂×Q₈	—	44	4	no	—
1468	C₂×Q₈	—	44	4	no	—
1469	C₂×Q₈	—	44	4	no	—
1470	C₂×Q₈	—	44	4	no	—
1471	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1472	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1473	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1474	C₂×D₄	—	2	1	no	—
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	11	1	no	—
1477	C₂×D₄	—	11	1	no	—
1478	C₂×D₄	—	11	1	no	—
1479	C₂×D₄	—	11	1	no	—
1480	C₂×D₄	—	22	1	no	—
1481	C₂×D₄	—	22	1	no	—
1482	C₂×D₄	—	22	1	no	—
1483	C₂×D₄	—	22	4	no	—
1484	C₂×D₄	—	22	1	no	—
1485	C₂×D₄	—	22	1	no	—
1486	C₂×D₄	—	22	1	no	—
1487	C₂×D₄	—	22	1	no	—
1488	C₂×D₄	—	44	1	no	—
1489	C₂×D₄	—	44	1	no	—
1490	C₂×D₄	—	44	4	no	—
1491	C₂×D₄	D₄×D₁₁	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	11	1	no	—
1498	C₂²×C₄	—	11	1	no	—
1499	C₂²×C₄	—	11	1	no	—
1500	C₂²×C₄	—	11	1	no	—
1501	C₂²×C₄	—	11	1	no	—
1502	C₂²×C₄	—	11	1	no	—
1503	C₂²×C₄	—	11	1	no	—
1504	C₂²×C₄	—	11	1	no	—
1505	C₂²×C₄	—	11	1	no	—
1506	C₂²×C₄	—	11	1	no	—
1507	C₂²×C₄	—	11	1	no	—
1508	C₂²×C₄	—	22	1	no	—
1509	C₂²×C₄	—	22	1	no	—
1510	C₂²×C₄	—	22	1	no	—
1511	C₂²×C₄	—	22	1	no	—
1512	C₂²×C₄	—	22	1	no	—
1513	C₂²×C₄	—	22	1	no	—
1514	C₂²×C₄	—	22	1	no	—
1515	C₂²×C₄	—	22	1	no	—
1516	C₂²×C₄	—	22	1	no	—
1517	C₂²×C₄	—	22	1	no	—
1518	C₂²×C₄	—	22	1	no	—
1519	C₂²×C₄	—	22	1	no	—
1520	C₂²×C₄	—	22	1	no	—
1521	C₂²×C₄	—	22	1	no	—
1522	C₂²×C₄	—	22	1	no	—
1523	C₂²×C₄	—	44	1	no	—
1524	C₂²×C₄	—	44	1	no	—
1525	C₂²×C₄	—	44	1	no	—
1526	C₂²×C₄	—	44	1	no	—
1527	C₂²×C₄	—	44	4	no	—
1528	C₂²×C₄	—	44	4	no	—
1529	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1531	Q₁₆	—	22	2	no	—
1532	Q₁₆	—	22	2	no	—
1533	Q₁₆	—	22	2	no	—
1534	Q₁₆	—	22	2	no	—
1535	Q₁₆	—	44	1	no	—
1536	Q₁₆	—	44	1	no	—
1537	Q₁₆	—	44	1	no	—
1538	Q₁₆	—	44	1	no	—
1539	Q₁₆	—	44	1	no	—
1540	Q₁₆	—	44	1	no	—
1541	Q₁₆	—	44	1	no	—
1542	Q₁₆	—	44	1	no	—
1543	SD₁₆	—	2	2	no	—
1544	SD₁₆	—	4	1	no	—
1545	SD₁₆	—	4	1	no	—
1546	SD₁₆	—	22	2	no	—
1547	SD₁₆	—	22	2	no	—
1548	SD₁₆	—	22	2	no	—
1549	SD₁₆	—	44	1	no	—
1550	SD₁₆	—	44	1	no	—
1551	SD₁₆	—	44	1	no	—
1552	SD₁₆	—	44	1	no	—
1553	SD₁₆	—	44	1	no	—
1554	SD₁₆	—	44	1	no	—
1555	M₁₆	—	4	1	no	—
1556	M₁₆	—	44	1	no	—
1557	M₁₆	—	44	1	no	—
1558	M₁₆	—	44	1	no	—
1559	C₂×C₈	—	4	1	no	—
1560	C₂×C₈	—	11	1	no	—
1561	C₂×C₈	—	11	1	no	—
1562	C₂×C₈	—	11	1	no	—
1563	C₂×C₈	—	11	1	no	—
1564	C₂×C₈	—	44	1	no	—
1565	C₂×C₈	—	44	1	no	—
1566	C₂×C₈	—	44	1	no	—
1567	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1568	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1569	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1570	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	—	2	1	no	—
1576	C₄⋊C₄	—	2	1	no	—
1577	C₄⋊C₄	—	2	1	no	—
1578	C₄⋊C₄	—	2	1	no	—
1579	C₄⋊C₄	—	11	1	no	—
1580	C₄⋊C₄	—	11	1	no	—
1581	C₄⋊C₄	—	11	1	no	—
1582	C₄⋊C₄	—	11	1	no	—
1583	C₄⋊C₄	—	11	1	no	—
1584	C₄⋊C₄	—	22	1	no	—
1585	C₄⋊C₄	—	22	1	no	—
1586	C₄⋊C₄	—	22	1	no	—
1587	C₄⋊C₄	—	22	1	no	—
1588	C₄⋊C₄	—	22	1	no	—
1589	C₄⋊C₄	—	22	1	no	—
1590	C₄⋊C₄	—	22	1	no	—
1591	C₄⋊C₄	—	22	1	no	—
1592	C₄⋊C₄	—	22	1	no	—
1593	C₄⋊C₄	—	22	1	no	—
1594	C₄⋊C₄	—	22	1	no	—
1595	C₄⋊C₄	—	22	1	no	—
1596	C₄⋊C₄	—	22	1	no	—
1597	C₄⋊C₄	—	22	1	no	—
1598	C₄⋊C₄	—	22	1	no	—
1599	C₄⋊C₄	—	22	1	no	—
1600	C₄⋊C₄	—	22	1	no	—
1601	C₄⋊C₄	—	22	1	no	—
1602	C₄⋊C₄	—	22	1	no	—
1603	C₄⋊C₄	—	22	1	no	—
1604	C₄⋊C₄	—	22	1	no	—
1605	C₄⋊C₄	—	22	1	no	—
1606	C₄⋊C₄	—	22	1	no	—
1607	C₄⋊C₄	—	22	1	no	—
1608	C₄⋊C₄	—	22	1	no	—
1609	C₄⋊C₄	—	22	1	no	—
1610	C₄⋊C₄	—	22	1	no	—
1611	C₄⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1612	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1613	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1614	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1615	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	—	2	1	no	—
1621	C₂²⋊C₄	—	2	1	no	—
1622	C₂²⋊C₄	—	11	1	no	—
1623	C₂²⋊C₄	—	11	1	no	—
1624	C₂²⋊C₄	—	11	1	no	—
1625	C₂²⋊C₄	—	11	1	no	—
1626	C₂²⋊C₄	—	11	1	no	—
1627	C₂²⋊C₄	—	11	1	no	—
1628	C₂²⋊C₄	—	22	1	no	—
1629	C₂²⋊C₄	—	22	1	no	—
1630	C₂²⋊C₄	—	22	1	no	—
1631	C₂²⋊C₄	—	22	1	no	—
1632	C₂²⋊C₄	—	22	1	no	—
1633	C₂²⋊C₄	—	22	1	no	—
1634	C₂²⋊C₄	—	22	1	no	—
1635	C₂²⋊C₄	—	22	1	no	—
1636	C₂²⋊C₄	—	22	1	no	—
1637	C₂²⋊C₄	—	22	1	no	—
1638	C₂²⋊C₄	—	22	1	no	—
1639	C₂²⋊C₄	—	22	1	no	—
1640	C₂²⋊C₄	—	22	1	no	—
1641	C₂²⋊C₄	—	22	1	no	—
1642	C₂²⋊C₄	—	22	1	no	—
1643	C₂²⋊C₄	—	22	1	no	—
1644	C₂²⋊C₄	—	22	1	no	—
1645	C₂²⋊C₄	—	22	1	no	—
1646	C₂²⋊C₄	—	22	1	no	—
1647	C₂²⋊C₄	—	22	1	no	—
1648	C₂²⋊C₄	—	22	1	no	—
1649	C₂²⋊C₄	—	22	1	no	—
1650	C₂²⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1651	C₂²⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1652	C₄²	—	2	1	no	—
1653	C₄²	—	2	1	no	—
1654	C₄²	—	11	1	no	—
1655	C₄²	—	11	1	no	—
1656	C₄²	—	11	1	no	—
1657	C₄²	—	22	1	no	—
1658	C₄²	—	22	1	no	—
1659	C₄²	—	22	1	no	—
1660	C₄²	—	22	1	no	—
1661	C₄²	—	22	1	no	—
1662	C₄²	—	22	1	no	—
1663	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1664	C₁₁	#61574	1	1	yes	characteristic, complemented, Sylow
1665	C₂³	—	2	1	no	—
1666	C₂³	—	11	1	no	—
1667	C₂³	—	11	1	no	—
1668	C₂³	—	11	4	no	—
1669	C₂³	—	11	1	no	—
1670	C₂³	—	22	2	no	—
1671	C₂³	—	22	1	no	—
1672	C₂³	—	44	1	no	—
1673	C₂³	—	44	1	no	—
1674	C₂³	—	44	1	no	—
1675	C₂³	—	44	1	no	—
1676	C₂³	—	44	2	no	—
1677	C₂³	—	88	1	no	—
1678	C₂³	—	88	1	no	—
1679	C₂³	C₂×D₄×D₁₁	1	1	yes	characteristic
1680	C₂³	C₂×D₄×D₁₁	1	1	yes	characteristic
1681	Q₈	—	2	1	no	—
1682	Q₈	—	2	1	no	—
1683	Q₈	—	2	1	no	—
1684	Q₈	—	2	1	no	—
1685	Q₈	—	2	1	no	—
1686	Q₈	—	4	2	no	—
1687	Q₈	—	4	2	no	—
1688	Q₈	—	11	2	no	—
1689	Q₈	—	22	4	no	—
1690	Q₈	—	22	1	no	—
1691	Q₈	—	22	1	no	—
1692	Q₈	—	22	1	no	—
1693	Q₈	—	22	1	no	—
1694	Q₈	—	22	1	no	—
1695	Q₈	—	22	1	no	—
1696	Q₈	—	22	1	no	—
1697	Q₈	—	22	1	no	—
1698	Q₈	—	22	1	no	—
1699	Q₈	—	44	2	no	—
1700	Q₈	—	44	2	no	—
1701	Q₈	—	44	2	no	—
1702	Q₈	—	44	2	no	—
1703	Q₈	—	44	2	no	—
1704	Q₈	—	44	2	no	—
1705	Q₈	—	44	2	no	—
1706	Q₈	—	44	2	no	—
1707	Q₈	—	88	1	no	—
1708	Q₈	#67042	1	2	yes	—
1709	D₄	—	2	2	no	—
1710	D₄	—	2	1	no	—
1711	D₄	—	2	1	no	—
1712	D₄	—	4	2	no	—
1713	D₄	—	8	1	no	—
1714	D₄	—	22	2	no	—
1715	D₄	—	22	2	no	—
1716	D₄	—	22	2	no	—
1717	D₄	—	22	1	no	—
1718	D₄	—	22	1	no	—
1719	D₄	—	44	2	no	—
1720	D₄	—	44	2	no	—
1721	D₄	—	44	2	no	—
1722	D₄	—	88	1	no	—
1723	D₄	—	88	1	no	—
1724	D₄	—	88	1	no	—
1725	D₄	—	88	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	2	1	no	—
1736	C₂×C₄	—	2	1	no	—
1737	C₂×C₄	—	4	2	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	8	1	no	—
1740	C₂×C₄	—	8	1	no	—
1741	C₂×C₄	—	11	1	no	—
1742	C₂×C₄	—	11	1	no	—
1743	C₂×C₄	—	11	1	no	—
1744	C₂×C₄	—	11	1	no	—
1745	C₂×C₄	—	11	1	no	—
1746	C₂×C₄	—	22	2	no	—
1747	C₂×C₄	—	22	4	no	—
1748	C₂×C₄	—	22	1	no	—
1749	C₂×C₄	—	22	1	no	—
1750	C₂×C₄	—	22	1	no	—
1751	C₂×C₄	—	22	1	no	—
1752	C₂×C₄	—	22	1	no	—
1753	C₂×C₄	—	22	1	no	—
1754	C₂×C₄	—	22	1	no	—
1755	C₂×C₄	—	22	1	no	—
1756	C₂×C₄	—	22	1	no	—
1757	C₂×C₄	—	22	1	no	—
1758	C₂×C₄	—	22	1	no	—
1759	C₂×C₄	—	22	1	no	—
1760	C₂×C₄	—	22	1	no	—
1761	C₂×C₄	—	44	1	no	—
1762	C₂×C₄	—	44	1	no	—
1763	C₂×C₄	—	44	1	no	—
1764	C₂×C₄	—	44	1	no	—
1765	C₂×C₄	—	44	1	no	—
1766	C₂×C₄	—	44	2	no	—
1767	C₂×C₄	—	44	2	no	—
1768	C₂×C₄	—	44	2	no	—
1769	C₂×C₄	—	44	2	no	—
1770	C₂×C₄	—	44	2	no	—
1771	C₂×C₄	—	44	2	no	—
1772	C₂×C₄	—	44	2	no	—
1773	C₂×C₄	—	44	2	no	—
1774	C₂×C₄	—	44	1	no	—
1775	C₂×C₄	—	44	1	no	—
1776	C₂×C₄	—	44	2	no	—
1777	C₂×C₄	—	44	2	no	—
1778	C₂×C₄	—	88	1	no	—
1779	C₂×C₄	—	88	1	no	—
1780	C₂×C₄	—	88	1	no	—
1781	C₂×C₄	—	88	1	no	—
1782	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1783	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1784	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1785	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1786	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1787	C₈	—	2	1	no	—
1788	C₈	—	2	1	no	—
1789	C₈	—	2	1	no	—
1790	C₈	—	2	1	no	—
1791	C₈	—	22	1	no	—
1792	C₈	—	22	1	no	—
1793	C₈	—	22	1	no	—
1794	C₈	—	22	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	4	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	11	2	no	—
1804	C₂²	—	11	2	no	—
1805	C₂²	—	22	1	no	—
1806	C₂²	—	22	1	no	—
1807	C₂²	—	22	1	no	—
1808	C₂²	—	22	1	no	—
1809	C₂²	—	22	1	no	—
1810	C₂²	—	22	1	no	—
1811	C₂²	—	22	1	no	—
1812	C₂²	—	44	4	no	—
1813	C₂²	—	44	4	no	—
1814	C₂²	—	44	1	no	—
1815	C₂²	—	44	1	no	—
1816	C₂²	—	44	1	no	—
1817	C₂²	—	176	2	no	—
1818	C₂²	D₁₁×#137	1	2	yes	—
1819	C₂²	C₂²×D₄×D₁₁	1	1	yes	characteristic
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	2	2	no	—
1824	C₄	—	2	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	22	1	no	—
1832	C₄	—	22	1	no	—
1833	C₄	—	22	1	no	—
1834	C₄	—	22	1	no	—
1835	C₄	—	22	2	no	—
1836	C₄	—	22	1	no	—
1837	C₄	—	44	1	no	—
1838	C₄	—	44	1	no	—
1839	C₄	—	44	1	no	—
1840	C₄	—	44	1	no	—
1841	C₄	—	44	1	no	—
1842	C₄	—	44	1	no	—
1843	C₄	C₂×#67042	1	1	yes	characteristic
1844	C₄	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1845	C₂	—	2	2	no	—
1846	C₂	—	4	1	no	—
1847	C₂	—	8	1	no	—
1848	C₂	—	22	2	no	—
1849	C₂	—	22	2	no	—
1850	C₂	—	44	1	no	—
1851	C₂	—	88	1	no	—
1852	C₂	#13082246	1	1	yes	characteristic
1853	C₂	C₂×D₁₁×#137	1	1	yes	characteristic
1854	C₂	#13083398	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₁₁
commutator, cosocle	C₂×C₄×C₁₁	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₁₁
Fitting	C₁₁×#3320	C₂
socle	C₂²×C₁₁	C₂³×D₄
prime radical	#13082445	C₂
hypercenter	#3320	D₁₁
hypocenter	C₁₁	#61574
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3320

Complements

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

N	H ≅ G/N	type
2. D₄×Q₈×D₁₁	C₂	semidirect
3. #13080785	C₂	semidirect
4. #13080783	C₂	semidirect
5. #13080781	C₂	semidirect
6. #13080670	C₂	semidirect
7. #13080668	C₂	semidirect
8. #13080666	C₂	semidirect
9. #13080664	C₂	semidirect
10. #13080191	C₂	semidirect
11. #13080187	C₂	semidirect
12. #13080183	C₂	semidirect
13. #13080179	C₂	semidirect
14. #13080133	C₂	semidirect
15. #13080132	C₂	semidirect
16. #13080129	C₂	semidirect
17. #13080128	C₂	semidirect
18. #13079644	C₂	semidirect
19. #13079642	C₂	semidirect
20. #13079450	C₂	semidirect
21. #13079441	C₂	semidirect
22. #13079390	C₂	semidirect
23. #13079368	C₂	semidirect
24. #13078792	C₂	semidirect
25. #13078785	C₂	semidirect
26. #13077852	C₂	semidirect
27. #13077847	C₂	semidirect
28. C₂×#10622421	C₂	semidirect
29. D₁₁×#448	C₂	semidirect
30. #13077641	C₂	semidirect
31. C₁₁×#3320	C₂	semidirect
33. C₂²×Q₈×D₁₁	C₂²	semidirect
35. D₄×Q₈×C₁₁	C₂²	semidirect
37. Q₈×C₂²⋊D₁₁	C₂²	semidirect
38. C₂²×#4326	C₂²	semidirect
39. C₂×#66995	C₂²	semidirect
40. C₂×#66968	C₂²	semidirect
41. C₂×#66968	C₂²	semidirect
42. C₂×SD₁₆×D₁₁	C₂²	semidirect
43. C₂×SD₁₆×D₁₁	C₂²	semidirect
44. C₂×#66962	C₂²	semidirect
45. C₂²×Dic₄₄	C₂²	semidirect
49. D₁₁×C₄⋊Q₈	C₂²	semidirect
59. #10623163	C₂²	semidirect
63. D₁₁×C₂²⋊Q₈	C₂²	semidirect
71. C₄×Q₈×D₁₁	C₂²	semidirect
80. D₄×Dic₂₂	C₂²	semidirect
85. C₁₁×#491	C₂²	semidirect
86. C₁₁×#485	C₂²	semidirect
87. C₁₁×#484	C₂²	semidirect
88. C₁₁×#479	C₂²	semidirect
89. C₁₁×#468	C₂²	semidirect
90. C₁₁×#465	C₂²	semidirect
91. C₁₁×#461	C₂²	semidirect
92. C₁₁×#448	C₂²	semidirect
93. C₁₁×#448	C₂²	semidirect
94. C₁₁×#440	C₂²	semidirect
95. C₁₁×#435	C₂²	semidirect
96. C₁₁×#419	C₂²	semidirect
97. C₂×C₁₁×#103	C₂²	semidirect
98. #10622841	C₂²	semidirect
99. #10622840	C₂²	semidirect
100. #10622786	C₂²	semidirect
104. #10622782	C₂²	semidirect
105. #10622780	C₂²	semidirect
106. #10622780	C₂²	semidirect
107. #10622779	C₂²	semidirect
108. #10622750	C₂²	semidirect
110. #10622739	C₂²	semidirect
111. #10622727	C₂²	semidirect
112. #10622724	C₂²	semidirect
114. #10622703	C₂²	semidirect
115. #10622699	C₂²	semidirect
116. #10622682	C₂²	semidirect
117. #10622676	C₂²	semidirect
118. #10622665	C₂²	semidirect
119. #10622663	C₂²	semidirect
120. #10622661	C₂²	semidirect
121. #10622660	C₂²	semidirect
122. #10622655	C₂²	semidirect
123. #10622654	C₂²	semidirect
124. #10622653	C₂²	semidirect
125. #10622653	C₂²	semidirect
126. #10622643	C₂²	semidirect
127. #10622641	C₂²	semidirect
128. #10622632	C₂²	semidirect
129. #10622631	C₂²	semidirect
130. #10622624	C₂²	semidirect
131. #10622617	C₂²	semidirect
132. #10622609	C₂²	semidirect
133. #10622583	C₂²	semidirect
134. C₂×#66874	C₂²	semidirect
135. #10622502	C₂²	semidirect
136. #10622501	C₂²	semidirect
137. #10622500	C₂²	semidirect
138. #10622500	C₂²	semidirect
139. #10622499	C₂²	semidirect
140. #10622497	C₂²	semidirect
141. #10622497	C₂²	semidirect
142. #10622490	C₂²	semidirect
143. #10622481	C₂²	semidirect
145. #10622475	C₂²	semidirect
146. #10622466	C₂²	semidirect
147. #10622462	C₂²	semidirect
148. #10622458	C₂²	semidirect
150. #10622448	C₂²	semidirect
151. #10622431	C₂²	semidirect
152. #10622431	C₂²	semidirect
153. #10622430	C₂²	semidirect
154. #10622429	C₂²	semidirect
155. #10622428	C₂²	semidirect
156. #10622426	C₂²	semidirect
157. #10622426	C₂²	semidirect
158. #10622425	C₂²	semidirect
159. #10622421	C₂²	semidirect
160. #10622421	C₂²	semidirect
161. #10622421	C₂²	semidirect
162. #10622421	C₂²	semidirect
163. #10622421	C₂²	semidirect
164. #10622421	C₂²	semidirect
165. #10622421	C₂²	semidirect
166. #10622421	C₂²	semidirect
167. #10622421	C₂²	semidirect
168. #10622421	C₂²	semidirect
169. #10622421	C₂²	semidirect
170. #10622421	C₂²	semidirect
174. #10622419	C₂²	semidirect
175. #10622419	C₂²	semidirect
176. #10622418	C₂²	semidirect
177. #10622415	C₂²	semidirect
178. #10622415	C₂²	semidirect
179. D₁₁×#103	C₂²	semidirect
180. D₁₁×#103	C₂²	semidirect
181. #10622412	C₂²	semidirect
182. #10622410	C₂²	semidirect
183. #10622410	C₂²	semidirect
184. #10622406	C₂²	semidirect
185. #10622406	C₂²	semidirect
186. #10622402	C₂²	semidirect
187. #10622396	C₂²	semidirect
189. #10622389	C₂²	semidirect
190. #10622380	C₂²	semidirect
191. #10622352	C₂²	semidirect
192. #10622352	C₂²	semidirect
193. #10622351	C₂²	semidirect
194. #10622346	C₂²	semidirect
195. #10622343	C₂²	semidirect
197. #10622339	C₂²	semidirect
199. #10622329	C₂²	semidirect
200. #10622328	C₂²	semidirect
202. #10622318	C₂²	semidirect
743. #3320	D₁₁	semidirect
781. C₂²×D₁₁	#137	semidirect
928. D₄×Q₈	C₂×D₁₁	semidirect
959. #491	C₂×D₁₁	semidirect
963. #485	C₂×D₁₁	semidirect
967. #484	C₂×D₁₁	semidirect
975. #479	C₂×D₁₁	semidirect
983. #468	C₂×D₁₁	semidirect
991. #465	C₂×D₁₁	semidirect
1003. #461	C₂×D₁₁	semidirect
1038. #448	C₂×D₁₁	semidirect
1039. #448	C₂×D₁₁	semidirect
1047. #440	C₂×D₁₁	semidirect
1055. #435	C₂×D₁₁	semidirect
1061. #419	C₂×D₁₁	semidirect
1065. C₂×#103	C₂×D₁₁	semidirect
1664. C₁₁	#61574	semidirect

Maximal subgroups

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

subgroup	index
#13082445	2
D₄×Q₈×D₁₁	2
#13080785	2
#13080783	2
#13080781	2
#13080670	2
#13080668	2
#13080666	2
#13080664	2
#13080191	2
#13080187	2
#13080183	2
#13080179	2
#13080133	2
#13080132	2
#13080129	2
#13080128	2
#13079644	2
#13079642	2
#13079450	2
#13079441	2
#13079390	2
#13079368	2
#13078792	2
#13078785	2
#13077852	2
#13077847	2
C₂×#10622421	2
D₁₁×#448	2
#13077641	2
C₁₁×#3320	2
#61574	11