Subgroups — #15639265

Order 2816.

2112 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13082411	C₂	1	1	yes	maximal, characteristic, complemented
2	#13082105	C₂	1	1	yes	maximal, characteristic
3	#13080947	C₂	1	1	yes	maximal, characteristic, complemented
4	#13080927	C₂	1	1	yes	maximal, characteristic, complemented
5	#13080732	C₂	1	1	yes	maximal, characteristic, complemented
6	#13080727	C₂	1	1	yes	maximal, characteristic, complemented
7	#13080704	C₂	1	1	yes	maximal, characteristic, complemented
8	#13080699	C₂	1	1	yes	maximal, characteristic, complemented
9	#13080485	C₂	1	1	yes	maximal, characteristic, complemented
10	#13080435	C₂	1	1	yes	maximal, characteristic, complemented
11	Q₁₆×C₂²⋊D₁₁	C₂	1	1	yes	maximal, characteristic, complemented
12	#13080305	C₂	1	1	yes	maximal, characteristic, complemented
13	#13080276	C₂	1	1	yes	maximal, characteristic, complemented
14	#13080255	C₂	1	1	yes	maximal, characteristic, complemented
15	#13080192	C₂	1	1	yes	maximal, characteristic, complemented
16	#13080127	C₂	1	1	yes	maximal, characteristic, complemented
17	#13080125	C₂	1	1	yes	maximal, characteristic, complemented
18	#13079622	C₂	1	1	yes	maximal, characteristic, complemented
19	#13079571	C₂	1	1	yes	maximal, characteristic, complemented
20	#13079447	C₂	1	1	yes	maximal, characteristic, complemented
21	#13079443	C₂	1	1	yes	maximal, characteristic, complemented
22	#13079400	C₂	1	1	yes	maximal, characteristic, complemented
23	#13079392	C₂	1	1	yes	maximal, characteristic, complemented
24	#13078776	C₂	1	1	yes	maximal, characteristic, complemented
25	#13078686	C₂	1	1	yes	maximal, characteristic, complemented
26	#13077875	C₂	1	1	yes	maximal, characteristic, complemented
27	#13077872	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#10622800	C₂	1	1	yes	maximal, characteristic, complemented
29	D₁₁×#452	C₂	1	1	yes	maximal, characteristic, complemented
30	#13077646	C₂	1	1	yes	maximal, characteristic, complemented
31	C₁₁×#3270	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#41×D₁₁	C₂²	1	1	yes	characteristic
33	C₂²×#4343	C₂²	1	1	yes	characteristic
34	C₂×C₁₁×#137	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
36	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
37	C₁₁×#548	C₂²	1	1	yes	characteristic
38	#10623365	C₂²	1	1	yes	characteristic
39	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
40	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
41	Q₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic, complemented
42	C₂×#66999	C₂²	1	1	yes	characteristic, complemented
43	C₂×#66999	C₂²	1	1	yes	characteristic, complemented
44	C₂×#66995	C₂²	1	1	yes	characteristic, complemented
45	C₂²×#4325	C₂²	1	1	yes	characteristic, complemented
46	C₂×#66971	C₂²	1	1	yes	characteristic, complemented
47	C₂×#66971	C₂²	1	1	yes	characteristic, complemented
48	C₂×Q₁₆×D₁₁	C₂²	1	1	yes	characteristic, complemented
49	C₂×SD₁₆×D₁₁	C₂²	1	1	yes	characteristic, complemented
50	#10623261	—	2	1	no	—
51	#10623260	—	2	1	no	—
52	#10623259	C₂²	1	1	yes	characteristic, complemented
53	#10623258	C₂²	1	1	yes	characteristic, complemented
54	#10623207	—	2	1	no	—
55	#10623207	C₂²	1	1	yes	characteristic
56	#10623199	—	2	1	no	—
57	#10623199	C₂²	1	1	yes	characteristic
58	#10623167	—	2	1	no	—
59	#10623167	—	2	1	no	—
60	#10623166	C₂²	1	1	yes	characteristic
61	#10623166	C₂²	1	1	yes	characteristic, complemented
62	#10623165	—	2	1	no	—
63	#10623165	—	2	1	no	—
64	#10623162	—	2	1	no	—
65	#10623162	C₂²	1	1	yes	characteristic
66	#10623158	—	2	1	no	—
67	#10623158	C₂²	1	1	yes	characteristic
68	D₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
69	D₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
70	#10623140	—	2	1	no	—
71	#10623140	C₂²	1	1	yes	characteristic
72	#10623137	—	2	1	no	—
73	#10623137	C₂²	1	1	yes	characteristic
74	#10623110	C₂²	1	1	yes	characteristic, complemented
75	#10623109	C₂²	1	1	yes	characteristic, complemented
76	#10623107	C₂²	1	1	yes	characteristic
77	C₄×#4343	C₂²	1	1	yes	characteristic
78	#10623081	—	2	1	no	—
79	#10623081	C₂²	1	1	yes	characteristic
80	#10623076	—	2	1	no	—
81	C₄×D₄×D₁₁	—	2	1	no	—
82	C₄×D₄×D₁₁	C₂²	1	1	yes	characteristic
83	#10623074	C₂²	1	1	yes	characteristic, complemented
84	#10623070	—	2	1	no	—
85	C₁₁×#497	C₂²	1	1	yes	characteristic, complemented
86	C₁₁×#470	C₂²	1	1	yes	characteristic, complemented
87	C₁₁×#465	C₂²	1	1	yes	characteristic, complemented
88	C₁₁×#464	C₂²	1	1	yes	characteristic, complemented
89	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
90	C₁₁×#452	C₂²	1	1	yes	characteristic, complemented
91	C₁₁×#451	C₂²	1	1	yes	characteristic, complemented
92	C₁₁×#451	C₂²	1	1	yes	characteristic, complemented
93	C₁₁×#448	C₂²	1	1	yes	characteristic, complemented
94	C₁₁×#441	C₂²	1	1	yes	characteristic, complemented
95	C₁₁×#435	C₂²	1	1	yes	characteristic, complemented
96	#10622852	C₂²	1	1	yes	characteristic, complemented
97	#10622845	C₂²	1	1	yes	characteristic, complemented
98	#10622841	C₂²	1	1	yes	characteristic, complemented
99	#10622841	C₂²	1	1	yes	characteristic, complemented
100	#10622840	C₂²	1	1	yes	characteristic, complemented
101	C₂×#66899	C₂²	1	1	yes	characteristic, complemented
102	#10622801	C₂²	1	1	yes	characteristic, complemented
103	#10622801	C₂²	1	1	yes	characteristic, complemented
104	#10622800	C₂²	1	1	yes	characteristic
105	#10622800	C₂²	1	1	yes	characteristic
106	#10622800	C₂²	1	1	yes	characteristic
107	#10622800	C₂²	1	1	yes	characteristic, complemented
108	#10622800	C₂²	1	1	yes	characteristic, complemented
109	#10622800	C₂²	1	1	yes	characteristic, complemented
110	#10622800	C₂²	1	1	yes	characteristic, complemented
111	#10622800	C₂²	1	1	yes	characteristic, complemented
112	#10622800	C₂²	1	1	yes	characteristic, complemented
113	#10622800	C₂²	1	1	yes	characteristic, complemented
114	#10622799	C₂²	1	1	yes	characteristic, complemented
115	#10622799	C₂²	1	1	yes	characteristic, complemented
116	#10622799	C₂²	1	1	yes	characteristic, complemented
117	Q₁₆×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
118	Q₁₆×Dic₁₁	C₂²	1	1	yes	characteristic, complemented
119	#10622795	C₂²	1	1	yes	characteristic, complemented
120	#10622795	C₂²	1	1	yes	characteristic, complemented
121	#10622795	C₂²	1	1	yes	characteristic, complemented
122	#10622794	C₂²	1	1	yes	characteristic, complemented
123	#10622788	C₂²	1	1	yes	characteristic, complemented
124	#10622787	C₂²	1	1	yes	characteristic, complemented
125	#10622787	C₂²	1	1	yes	characteristic, complemented
126	#10622786	C₂²	1	1	yes	characteristic, complemented
127	#10622786	C₂²	1	1	yes	characteristic, complemented
128	#10622786	C₂²	1	1	yes	characteristic, complemented
129	#10622783	C₂²	1	1	yes	characteristic, complemented
130	#10622782	C₂²	1	1	yes	characteristic, complemented
131	#10622782	C₂²	1	1	yes	characteristic, complemented
132	#10622776	C₂²	1	1	yes	characteristic, complemented
133	#10622776	C₂²	1	1	yes	characteristic, complemented
134	#10622747	C₂²	1	1	yes	characteristic, complemented
135	#10622746	C₂²	1	1	yes	characteristic, complemented
136	#10622741	C₂²	1	1	yes	characteristic, complemented
137	#10622739	C₂²	1	1	yes	characteristic, complemented
138	#10622729	C₂²	1	1	yes	characteristic, complemented
139	C₂×#66885	C₂²	1	1	yes	characteristic, complemented
140	C₈×C₂²⋊D₁₁	C₂²	1	1	yes	characteristic
141	C₂×(C₂×D₁₁)⋊C₈	C₂²	1	1	yes	characteristic, complemented
142	#10622699	C₂²	1	1	yes	characteristic, complemented
143	#10622696	C₂²	1	1	yes	characteristic, complemented
144	#10622668	C₂²	1	1	yes	characteristic, complemented
145	#10622667	C₂²	1	1	yes	characteristic, complemented
146	#10622665	C₂²	1	1	yes	characteristic, complemented
147	#10622664	C₂²	1	1	yes	characteristic, complemented
148	#10622662	C₂²	1	1	yes	characteristic, complemented
149	#10622660	C₂²	1	1	yes	characteristic, complemented
150	#10622659	C₂²	1	1	yes	characteristic, complemented
151	#10622656	C₂²	1	1	yes	characteristic, complemented
152	#10622654	C₂²	1	1	yes	characteristic, complemented
153	#10622647	C₂²	1	1	yes	characteristic, complemented
154	#10622643	C₂²	1	1	yes	characteristic, complemented
155	#10622641	C₂²	1	1	yes	characteristic, complemented
156	#10622639	C₂²	1	1	yes	characteristic, complemented
157	#10622633	C₂²	1	1	yes	characteristic, complemented
158	#10622624	C₂²	1	1	yes	characteristic, complemented
159	#10622483	C₂²	1	1	yes	characteristic, complemented
160	#10622480	C₂²	1	1	yes	characteristic, complemented
161	#10622476	C₂²	1	1	yes	characteristic, complemented
162	#10622475	C₂²	1	1	yes	characteristic, complemented
163	#10622459	C₂²	1	1	yes	characteristic, complemented
164	#10622458	C₂²	1	1	yes	characteristic, complemented
165	#10622449	C₂²	1	1	yes	characteristic, complemented
166	#10622446	C₂²	1	1	yes	characteristic, complemented
167	#10622431	C₂²	1	1	yes	characteristic, complemented
168	#10622429	C₂²	1	1	yes	characteristic, complemented
169	#10622429	C₂²	1	1	yes	characteristic, complemented
170	#10622427	C₂²	1	1	yes	characteristic, complemented
171	#10622427	C₂²	1	1	yes	characteristic, complemented
172	#10622427	C₂²	1	1	yes	characteristic, complemented
173	#10622423	C₂²	1	1	yes	characteristic
174	#10622423	C₂²	1	1	yes	characteristic, complemented
175	#10622422	C₂²	1	1	yes	characteristic, complemented
176	#10622421	C₂²	1	1	yes	characteristic, complemented
177	#10622420	C₂²	1	1	yes	characteristic, complemented
178	#10622420	C₂²	1	1	yes	characteristic, complemented
179	#10622419	C₂²	1	1	yes	characteristic, complemented
180	#10622416	C₂²	1	1	yes	characteristic, complemented
181	#10622416	C₂²	1	1	yes	characteristic, complemented
182	D₁₁×#103	C₂²	1	1	yes	characteristic, complemented
183	#10622407	C₂²	1	1	yes	characteristic, complemented
184	#10622405	C₂²	1	1	yes	characteristic, complemented
185	#10622401	C₂²	1	1	yes	characteristic, complemented
186	#10622401	C₂²	1	1	yes	characteristic, complemented
187	#10622396	C₂²	1	1	yes	characteristic, complemented
188	#10622387	C₂²	1	1	yes	characteristic, complemented
189	D₁₁×#102	C₂²	1	1	yes	characteristic, complemented
190	#10622373	C₂²	1	1	yes	characteristic, complemented
191	#10622349	C₂²	1	1	yes	characteristic, complemented
192	#10622346	C₂²	1	1	yes	characteristic, complemented
193	#10622344	C₂²	1	1	yes	characteristic, complemented
194	#10622342	C₂²	1	1	yes	characteristic, complemented
195	#10622339	C₂²	1	1	yes	characteristic, complemented
196	(C₂²⋊D₁₁)⋊C₈	C₂²	1	1	yes	characteristic
197	D₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic, complemented
198	#10622335	C₂²	1	1	yes	characteristic, complemented
199	#10622327	C₂²	1	1	yes	characteristic, complemented
200	#10622323	C₂²	1	1	yes	characteristic, complemented
201	#10622319	C₂²	1	1	yes	characteristic, complemented
202	#10622318	C₂²	1	1	yes	characteristic, complemented
203	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
204	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
205	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
206	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
207	#41×D₁₁	—	4	2	no	—
208	#41×D₁₁	—	4	2	no	—
209	C₂×#4343	—	2	1	no	—
210	C₂×#4343	—	2	1	no	—
211	C₂×#4343	—	4	2	no	—
212	C₂×#4343	—	4	2	no	—
213	C₂×#4343	C₂³	1	1	yes	characteristic
214	C₂×#4343	C₂³	1	1	yes	characteristic
215	C₂×#4343	C₂³	1	1	yes	characteristic
216	C₂×#4343	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	—	2	1	no	—
221	C₂×#4341	C₂³	1	1	yes	characteristic
222	C₂×D₄×D₁₁	—	2	1	no	—
223	C₂×D₄×D₁₁	—	2	1	no	—
224	C₂×D₄×D₁₁	D₄	1	1	yes	characteristic
225	C₂×D₄×D₁₁	C₂³	1	1	yes	characteristic
226	C₂×#4339	—	2	1	no	—
227	C₂×#4339	C₂³	1	1	yes	characteristic
228	C₂²×D₄₄	—	2	1	no	—
229	C₂²×D₄₄	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₁₁	—	2	1	no	—
231	C₂²×C₄×D₁₁	—	2	1	no	—
232	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₁	C₂³	1	1	yes	characteristic
234	C₁₁×#137	—	4	2	no	—
235	C₂×C₁₁×Q₁₆	—	4	2	no	—
236	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
237	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
238	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
239	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
240	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
241	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
242	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₁₁×SD₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₁₁×M₁₆	C₂³	1	1	yes	characteristic
246	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
247	C₁₁×C₄⋊Q₈	—	2	1	no	—
248	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
249	C₁₁×#124	—	2	1	no	—
250	C₁₁×#124	C₂³	1	1	yes	characteristic
251	C₁₁×C₂²⋊Q₈	—	2	1	no	—
252	C₁₁×C₂²⋊Q₈	—	2	1	no	—
253	C₁₁×C₂²⋊Q₈	—	2	1	no	—
254	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
255	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
256	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
257	C₁₁×#121	—	2	1	no	—
258	C₁₁×#121	C₂³	1	1	yes	characteristic
259	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
260	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
261	C₄×D₄×C₁₁	—	2	1	no	—
262	C₄×D₄×C₁₁	—	2	1	no	—
263	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
264	#66999	—	2	1	no	—
265	#66999	—	2	1	no	—
266	#66999	—	2	1	no	—
267	#66999	—	2	1	no	—
268	#66999	—	2	1	no	—
269	#66999	—	2	1	no	—
270	#66999	—	2	1	no	—
271	#66999	C₂³	1	1	yes	characteristic
272	#66999	C₂³	1	1	yes	characteristic
273	#66999	C₂³	1	1	yes	characteristic
274	#66999	C₂³	1	1	yes	characteristic
275	#66999	C₂³	1	1	yes	characteristic
276	#66999	C₂³	1	1	yes	characteristic
277	#66999	C₂³	1	1	yes	characteristic
278	#66999	C₂³	1	1	yes	characteristic
279	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
280	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
281	Q₈×Dic₁₁	C₂³	1	1	yes	characteristic
282	#66997	—	2	1	no	—
283	#66997	—	2	1	no	—
284	#66997	—	2	1	no	—
285	#66997	C₂³	1	1	yes	characteristic
286	#66997	C₂³	1	1	yes	characteristic
287	C₂×#4326	C₂³	1	1	yes	characteristic
288	C₂×#4326	C₂³	1	1	yes	characteristic
289	C₂×#4326	C₂³	1	1	yes	characteristic
290	C₂×#4326	C₂³	1	1	yes	characteristic
291	C₂×#4326	C₂³	1	1	yes	characteristic
292	#66995	—	4	2	no	—
293	C₂×#4325	—	4	2	no	—
294	C₂×#4325	C₂³	1	1	yes	characteristic
295	C₂×#4325	C₂³	1	1	yes	characteristic
296	C₂×#4325	C₂³	1	1	yes	characteristic
297	C₂×#4325	C₂³	1	1	yes	characteristic
298	C₂×#4325	C₂³	1	1	yes	characteristic
299	C₂×#4325	C₂³	1	1	yes	characteristic
300	#66993	—	2	1	no	—
301	#66993	C₂³	1	1	yes	characteristic
302	#66991	—	2	1	no	—
303	#66991	C₂³	1	1	yes	characteristic
304	#66990	—	2	1	no	—
305	#66990	—	2	1	no	—
306	#66990	—	2	1	no	—
307	D₄×Dic₁₁	—	2	1	no	—
308	D₄×Dic₁₁	—	2	1	no	—
309	D₄×Dic₁₁	D₄	1	1	yes	characteristic
310	C₂×#4324	C₂³	1	1	yes	characteristic
311	#66983	—	2	1	no	—
312	#66983	C₂³	1	1	yes	characteristic
313	C₄×C₂²⋊D₁₁	—	2	1	no	—
314	C₄×C₂²⋊D₁₁	—	2	1	no	—
315	C₄×C₂²⋊D₁₁	—	2	1	no	—
316	C₄×C₂²⋊D₁₁	—	2	1	no	—
317	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
318	C₄×C₂²⋊D₁₁	C₂³	1	1	yes	characteristic
319	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
320	C₂×(C₂×D₁₁)⋊C₄	—	2	1	no	—
321	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
322	C₂×C₄⋊Dic₁₁	C₂³	1	1	yes	characteristic
323	#66977	—	2	1	no	—
324	#66977	—	2	1	no	—
325	#66977	—	2	1	no	—
326	#66977	C₂³	1	1	yes	characteristic
327	#66977	C₂³	1	1	yes	characteristic
328	#66977	C₂³	1	1	yes	characteristic
329	C₂×Dic₁₁⋊C₄	—	2	1	no	—
330	C₂×Dic₁₁⋊C₄	—	2	1	no	—
331	C₂×#4318	C₂³	1	1	yes	characteristic
332	C₂²×C₁₁⋊C₈	C₂³	1	1	yes	characteristic
333	#66971	—	4	2	no	—
334	#66971	—	4	2	no	—
335	Q₁₆×D₁₁	—	4	2	no	—
336	SD₁₆×D₁₁	—	4	2	no	—
337	C₂×Dic₄₄	C₂³	1	1	yes	characteristic
338	C₂×#4314	C₂³	1	1	yes	characteristic
339	C₂×#4314	C₂³	1	1	yes	characteristic
340	C₂×#4313	C₂³	1	1	yes	characteristic
341	C₂×#4313	C₂³	1	1	yes	characteristic
342	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
343	C₂×C₈×D₁₁	C₂³	1	1	yes	characteristic
344	#66950	—	2	1	no	—
345	#66950	—	2	1	no	—
346	#66950	—	2	1	no	—
347	#66950	—	2	1	no	—
348	#66950	C₂³	1	1	yes	characteristic
349	#66950	C₂³	1	1	yes	characteristic
350	#66949	—	2	1	no	—
351	#66949	—	2	1	no	—
352	#66949	—	2	1	no	—
353	#66949	—	2	1	no	—
354	#66949	—	2	1	no	—
355	#66949	—	2	1	no	—
356	#66949	—	2	1	no	—
357	#66948	—	2	1	no	—
358	#66948	C₂³	1	1	yes	characteristic
359	#66947	—	2	1	no	—
360	#66947	—	2	1	no	—
361	#66947	—	2	1	no	—
362	#66946	—	2	1	no	—
363	#66946	—	2	1	no	—
364	#66946	—	2	1	no	—
365	#66946	D₄	1	1	yes	characteristic
366	#66946	C₂³	1	1	yes	characteristic
367	#66945	—	2	1	no	—
368	#66945	—	2	1	no	—
369	#66945	C₂³	1	1	yes	characteristic
370	C₄⋊C₄×D₁₁	—	2	1	no	—
371	C₄⋊C₄×D₁₁	—	2	1	no	—
372	C₄⋊C₄×D₁₁	—	2	1	no	—
373	C₄⋊C₄×D₁₁	D₄	1	1	yes	characteristic
374	C₄⋊C₄×D₁₁	C₂³	1	1	yes	characteristic
375	C₄⋊C₄×D₁₁	C₂³	1	1	yes	characteristic
376	#66943	—	2	1	no	—
377	#66943	—	2	1	no	—
378	#66942	—	2	1	no	—
379	#66942	—	2	1	no	—
380	#66942	—	2	1	no	—
381	#66941	—	2	1	no	—
382	#66941	C₂³	1	1	yes	characteristic
383	#66940	—	2	1	no	—
384	#66937	—	2	1	no	—
385	#66937	—	2	1	no	—
386	#66937	—	2	1	no	—
387	#66937	—	2	1	no	—
388	#66937	—	2	1	no	—
389	#66937	—	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	#66935	—	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	—	2	1	no	—
400	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
401	(C₂²⋊D₁₁)⋊C₄	—	2	1	no	—
402	(C₂²⋊D₁₁)⋊C₄	D₄	1	1	yes	characteristic
403	(C₂²⋊D₁₁)⋊C₄	D₄	1	1	yes	characteristic
404	C₂²⋊C₄×D₁₁	—	2	1	no	—
405	C₂²⋊C₄×D₁₁	—	2	1	no	—
406	C₂²⋊C₄×D₁₁	—	2	1	no	—
407	C₂²⋊C₄×D₁₁	—	2	1	no	—
408	C₂²⋊C₄×D₁₁	D₄	1	1	yes	characteristic
409	C₂²⋊C₄×D₁₁	D₄	1	1	yes	characteristic
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	—	2	1	no	—
417	#66928	C₂³	1	1	yes	characteristic
418	C₄×D₄₄	—	2	1	no	—
419	C₄×D₄₄	—	2	1	no	—
420	C₄×D₄₄	—	2	1	no	—
421	C₄×D₄₄	C₂³	1	1	yes	characteristic
422	C₄×D₄₄	C₂³	1	1	yes	characteristic
423	#66925	—	2	1	no	—
424	C₄²×D₁₁	—	2	1	no	—
425	C₄²×D₁₁	C₂³	1	1	yes	characteristic
426	#66923	—	2	1	no	—
427	#66922	C₂³	1	1	yes	characteristic
428	C₄×Dic₂₂	—	2	1	no	—
429	C₄×Dic₂₂	C₂³	1	1	yes	characteristic
430	C₁₁×#106	C₂³	1	1	yes	characteristic
431	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
432	C₁₁×#103	C₂³	1	1	yes	characteristic
433	C₁₁×#103	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×#102	C₂³	1	1	yes	characteristic
438	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
439	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
440	C₁₁×#97	C₂³	1	1	yes	characteristic
441	#66899	C₂³	1	1	yes	characteristic
442	#66899	C₂³	1	1	yes	characteristic
443	#66899	C₂³	1	1	yes	characteristic
444	#66899	C₂³	1	1	yes	characteristic
445	#66899	C₂³	1	1	yes	characteristic
446	#66899	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	#66896	C₂³	1	1	yes	characteristic
452	#66896	C₂³	1	1	yes	characteristic
453	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
454	C₂²⋊(C₁₁⋊C₈)	C₂³	1	1	yes	characteristic
455	#66885	C₂³	1	1	yes	characteristic
456	#66885	C₂³	1	1	yes	characteristic
457	#66885	C₂³	1	1	yes	characteristic
458	#66885	C₂³	1	1	yes	characteristic
459	#66885	C₂³	1	1	yes	characteristic
460	#66885	C₂³	1	1	yes	characteristic
461	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
462	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
463	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
464	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
465	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
466	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
467	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
468	(C₂×D₁₁)⋊C₈	C₂³	1	1	yes	characteristic
469	#66882	C₂³	1	1	yes	characteristic
470	#66882	C₂³	1	1	yes	characteristic
471	#66882	C₂³	1	1	yes	characteristic
472	#66880	C₂³	1	1	yes	characteristic
473	#66880	C₂³	1	1	yes	characteristic
474	#66880	C₂³	1	1	yes	characteristic
475	#66880	C₂³	1	1	yes	characteristic
476	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
477	Dic₁₁⋊C₈	C₂³	1	1	yes	characteristic
478	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
479	C₈×Dic₁₁	C₂³	1	1	yes	characteristic
480	#66874	C₂³	1	1	yes	characteristic
481	#66874	C₂³	1	1	yes	characteristic
482	#66873	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	#66872	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	#61607	—	11	1	no	maximal, Sylow
491	C₂³×D₁₁	—	2	1	no	—
492	C₂³×D₁₁	—	2	1	no	—
493	C₂³×D₁₁	C₂×D₄	1	1	yes	characteristic
494	C₂³×D₁₁	C₂×D₄	1	1	yes	characteristic
495	C₁₁×#41	—	2	2	no	—
496	C₁₁×#41	—	4	1	no	—
497	C₂×Q₈×C₁₁	—	2	1	no	—
498	C₂×Q₈×C₁₁	—	2	1	no	—
499	C₂×Q₈×C₁₁	—	2	1	no	—
500	C₂×Q₈×C₁₁	—	2	2	no	—
501	C₂×Q₈×C₁₁	—	4	1	no	—
502	C₂×Q₈×C₁₁	—	4	1	no	—
503	C₂×Q₈×C₁₁	—	4	1	no	—
504	C₂×Q₈×C₁₁	—	4	1	no	—
505	C₂×Q₈×C₁₁	—	4	1	no	—
506	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
507	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
508	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
509	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
510	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
511	C₂×D₄×C₁₁	—	2	1	no	—
512	C₂×D₄×C₁₁	—	2	1	no	—
513	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
514	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₁₁	—	2	1	no	—
516	C₂²×C₄×C₁₁	—	2	1	no	—
517	C₂²×C₄×C₁₁	—	2	1	no	—
518	C₂²×C₄×C₁₁	—	2	1	no	—
519	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
521	C₂×C₂²⋊D₁₁	—	2	1	no	—
522	C₂×C₂²⋊D₁₁	—	2	1	no	—
523	C₂×C₂²⋊D₁₁	—	2	1	no	—
524	C₂×C₂²⋊D₁₁	—	2	1	no	—
525	C₂×C₂²⋊D₁₁	—	2	1	no	—
526	C₂×C₂²⋊D₁₁	—	2	1	no	—
527	C₂×C₂²⋊D₁₁	—	2	1	no	—
528	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
529	C₂×C₂²⋊D₁₁	C₂×D₄	1	1	yes	characteristic
530	C₂²×Dic₁₁	—	2	1	no	—
531	C₂²×Dic₁₁	—	2	1	no	—
532	C₂²×Dic₁₁	—	2	1	no	—
533	C₂²×Dic₁₁	C₂×D₄	1	1	yes	characteristic
534	C₂²×Dic₁₁	C₂×D₄	1	1	yes	characteristic
535	#4343	—	2	2	no	—
536	#4343	—	2	2	no	—
537	#4343	—	2	2	no	—
538	#4343	—	2	2	no	—
539	#4343	—	4	1	no	—
540	#4343	—	4	1	no	—
541	#4343	—	4	1	no	—
542	#4343	—	4	1	no	—
543	#4343	—	4	4	no	—
544	#4343	—	4	4	no	—
545	Q₈×D₁₁	—	2	2	no	—
546	Q₈×D₁₁	—	4	1	no	—
547	Q₈×D₁₁	—	4	1	no	—
548	Q₈×D₁₁	—	4	1	no	—
549	Q₈×D₁₁	—	4	1	no	—
550	Q₈×D₁₁	—	4	1	no	—
551	#4341	—	4	1	no	—
552	#4341	—	4	1	no	—
553	#4341	—	4	4	no	—
554	D₄×D₁₁	—	2	4	no	—
555	D₄×D₁₁	—	2	2	no	—
556	D₄×D₁₁	—	4	1	no	—
557	D₄×D₁₁	—	4	4	no	—
558	D₄×D₁₁	—	4	4	no	—
559	#4339	—	2	2	no	—
560	#4339	—	4	1	no	—
561	#4339	—	4	4	no	—
562	C₂×D₄₄	—	2	1	no	—
563	C₂×D₄₄	—	2	1	no	—
564	C₂×D₄₄	—	2	1	no	—
565	C₂×D₄₄	—	2	1	no	—
566	C₂×D₄₄	—	2	1	no	—
567	C₂×D₄₄	—	2	2	no	—
568	C₂×D₄₄	—	2	1	no	—
569	C₂×D₄₄	—	4	1	no	—
570	C₂×D₄₄	—	4	4	no	—
571	C₂×D₄₄	C₂×D₄	1	1	yes	characteristic
572	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
573	C₂×D₄₄	C₂⁴	1	1	yes	characteristic
574	C₂×C₄×D₁₁	—	2	1	no	—
575	C₂×C₄×D₁₁	—	2	1	no	—
576	C₂×C₄×D₁₁	—	2	1	no	—
577	C₂×C₄×D₁₁	—	2	1	no	—
578	C₂×C₄×D₁₁	—	2	1	no	—
579	C₂×C₄×D₁₁	—	2	1	no	—
580	C₂×C₄×D₁₁	—	2	1	no	—
581	C₂×C₄×D₁₁	—	2	1	no	—
582	C₂×C₄×D₁₁	—	2	1	no	—
583	C₂×C₄×D₁₁	—	2	1	no	—
584	C₂×C₄×D₁₁	—	2	1	no	—
585	C₂×C₄×D₁₁	—	2	1	no	—
586	C₂×C₄×D₁₁	—	4	1	no	—
587	C₂×C₄×D₁₁	—	4	1	no	—
588	C₂×C₄×D₁₁	—	4	1	no	—
589	C₂×C₄×D₁₁	—	4	1	no	—
590	C₂×C₄×D₁₁	—	4	4	no	—
591	C₂×C₄×D₁₁	—	4	4	no	—
592	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
593	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
594	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
595	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
596	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
597	C₂×C₄×D₁₁	C₂×D₄	1	1	yes	characteristic
598	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
599	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
600	C₂×C₄×D₁₁	C₂⁴	1	1	yes	characteristic
601	C₂×Dic₂₂	—	2	1	no	—
602	C₂×Dic₂₂	—	2	1	no	—
603	C₂×Dic₂₂	—	2	1	no	—
604	C₂×Dic₂₂	—	2	1	no	—
605	C₂×Dic₂₂	—	2	1	no	—
606	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
607	C₂×Dic₂₂	C₂⁴	1	1	yes	characteristic
608	C₁₁×Q₁₆	—	2	2	no	—
609	C₁₁×Q₁₆	—	2	2	no	—
610	C₁₁×Q₁₆	—	2	2	no	—
611	C₁₁×Q₁₆	—	4	1	no	—
612	C₁₁×Q₁₆	—	4	1	no	—
613	C₁₁×Q₁₆	—	4	1	no	—
614	C₁₁×SD₁₆	—	4	1	no	—
615	C₁₁×SD₁₆	—	4	1	no	—
616	C₁₁×SD₁₆	—	4	1	no	—
617	C₁₁×M₁₆	—	4	1	no	—
618	C₂×C₈×C₁₁	—	4	1	no	—
619	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
620	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
621	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
622	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
623	C₁₁×C₄⋊C₄	—	2	1	no	—
624	C₁₁×C₄⋊C₄	—	2	1	no	—
625	C₁₁×C₄⋊C₄	—	2	1	no	—
626	C₁₁×C₄⋊C₄	—	2	1	no	—
627	C₁₁×C₄⋊C₄	—	2	1	no	—
628	C₁₁×C₄⋊C₄	—	2	1	no	—
629	C₁₁×C₄⋊C₄	—	2	1	no	—
630	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
631	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
632	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
633	C₁₁×C₂²⋊C₄	—	2	1	no	—
634	C₁₁×C₂²⋊C₄	—	2	1	no	—
635	C₁₁×C₂²⋊C₄	—	2	1	no	—
636	C₁₁×C₂²⋊C₄	—	2	1	no	—
637	C₁₁×C₂²⋊C₄	—	2	1	no	—
638	C₁₁×C₂²⋊C₄	—	2	1	no	—
639	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₄²×C₁₁	—	2	1	no	—
642	C₄²×C₁₁	—	2	1	no	—
643	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
644	C₂²⋊Dic₁₁	—	2	1	no	—
645	C₂²⋊Dic₁₁	—	2	1	no	—
646	C₂²⋊Dic₁₁	—	2	1	no	—
647	C₂²⋊Dic₁₁	—	2	1	no	—
648	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
649	C₂²⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
650	#4326	—	2	2	no	—
651	#4326	—	4	1	no	—
652	#4326	—	4	1	no	—
653	#4326	—	4	1	no	—
654	#4326	—	4	1	no	—
655	#4325	—	2	2	no	—
656	#4325	—	2	2	no	—
657	#4325	—	2	2	no	—
658	#4325	—	4	1	no	—
659	#4325	—	4	1	no	—
660	#4325	—	4	1	no	—
661	#4324	—	4	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	—	2	1	no	—
675	(C₂×D₁₁)⋊C₄	—	2	1	no	—
676	(C₂×D₁₁)⋊C₄	—	2	1	no	—
677	(C₂×D₁₁)⋊C₄	—	2	1	no	—
678	(C₂×D₁₁)⋊C₄	—	2	1	no	—
679	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
680	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
681	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
682	(C₂×D₁₁)⋊C₄	C₂×D₄	1	1	yes	characteristic
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	—	2	1	no	—
690	C₄⋊Dic₁₁	—	2	1	no	—
691	C₄⋊Dic₁₁	C₂×D₄	1	1	yes	characteristic
692	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
693	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
694	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
695	C₄⋊Dic₁₁	C₂⁴	1	1	yes	characteristic
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	—	2	1	no	—
709	Dic₁₁⋊C₄	—	2	1	no	—
710	Dic₁₁⋊C₄	—	2	1	no	—
711	Dic₁₁⋊C₄	—	2	1	no	—
712	Dic₁₁⋊C₄	—	2	1	no	—
713	Dic₁₁⋊C₄	—	2	1	no	—
714	Dic₁₁⋊C₄	—	2	1	no	—
715	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
716	Dic₁₁⋊C₄	C₂×D₄	1	1	yes	characteristic
717	C₄×Dic₁₁	—	2	1	no	—
718	C₄×Dic₁₁	—	2	1	no	—
719	C₄×Dic₁₁	—	2	1	no	—
720	C₄×Dic₁₁	—	2	1	no	—
721	C₄×Dic₁₁	—	2	1	no	—
722	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
723	C₄×Dic₁₁	C₂×D₄	1	1	yes	characteristic
724	C₄×Dic₁₁	C₂⁴	1	1	yes	characteristic
725	#4318	—	4	1	no	—
726	C₂×C₁₁⋊C₈	—	4	1	no	—
727	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
728	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
729	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
730	C₂×C₁₁⋊C₈	C₂⁴	1	1	yes	characteristic
731	Dic₄₄	—	4	1	no	—
732	#4314	—	2	2	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	#3501	—	11	1	no	—
739	D₄×#41	—	11	1	no	—
740	#3333	—	11	1	no	—
741	#3331	—	11	1	no	—
742	#3316	—	11	1	no	—
743	#3316	—	11	1	no	—
744	#3314	—	11	1	no	—
745	#3314	—	11	1	no	—
746	#3299	—	11	1	no	—
747	#3295	—	11	1	no	—
748	D₄×Q₁₆	—	11	1	no	—
749	D₄×SD₁₆	—	11	1	no	—
750	#3278	—	11	1	no	—
751	#3276	—	11	1	no	—
752	#3270	—	11	1	no	—
753	#3270	D₁₁	1	1	yes	characteristic, complemented
754	#3266	—	11	1	no	—
755	#3266	—	11	1	no	—
756	#3216	—	11	1	no	—
757	#3210	—	11	1	no	—
758	#3196	—	11	1	no	—
759	#3196	—	11	1	no	—
760	#3190	—	11	1	no	—
761	#3190	—	11	1	no	—
762	#3116	—	11	1	no	—
763	#3107	—	11	1	no	—
764	#3007	—	11	1	no	—
765	#3007	—	11	1	no	—
766	C₂×#452	—	11	1	no	—
767	C₂×#452	—	11	1	no	—
768	#2974	—	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	1	no	—
773	C₂²×D₁₁	—	2	2	no	—
774	C₂²×D₁₁	—	2	2	no	—
775	C₂²×D₁₁	—	2	1	no	—
776	C₂²×D₁₁	—	4	1	no	—
777	C₂²×D₁₁	—	4	1	no	—
778	C₂²×D₁₁	—	4	1	no	—
779	C₂²×D₁₁	—	4	1	no	—
780	C₂²×D₁₁	—	4	2	no	—
781	C₂²×D₁₁	—	4	2	no	—
782	C₂²×D₁₁	—	4	2	no	—
783	C₂²×D₁₁	—	4	2	no	—
784	C₂²×D₁₁	—	8	1	no	—
785	C₂²×D₁₁	—	8	1	no	—
786	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
787	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
788	C₂²×D₁₁	C₂²×D₄	1	1	yes	characteristic
789	Q₈×C₁₁	—	2	1	no	—
790	Q₈×C₁₁	—	2	1	no	—
791	Q₈×C₁₁	—	2	1	no	—
792	Q₈×C₁₁	—	2	1	no	—
793	Q₈×C₁₁	—	2	1	no	—
794	Q₈×C₁₁	—	2	1	no	—
795	Q₈×C₁₁	—	2	1	no	—
796	Q₈×C₁₁	—	2	1	no	—
797	Q₈×C₁₁	—	2	1	no	—
798	Q₈×C₁₁	—	4	2	no	—
799	Q₈×C₁₁	—	8	1	no	—
800	Q₈×C₁₁	—	8	1	no	—
801	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
802	D₄×C₁₁	—	2	2	no	—
803	D₄×C₁₁	—	2	1	no	—
804	D₄×C₁₁	—	2	1	no	—
805	D₄×C₁₁	—	4	2	no	—
806	D₄×C₁₁	—	4	2	no	—
807	C₂×C₄×C₁₁	—	2	1	no	—
808	C₂×C₄×C₁₁	—	2	1	no	—
809	C₂×C₄×C₁₁	—	2	1	no	—
810	C₂×C₄×C₁₁	—	2	1	no	—
811	C₂×C₄×C₁₁	—	2	1	no	—
812	C₂×C₄×C₁₁	—	2	1	no	—
813	C₂×C₄×C₁₁	—	2	1	no	—
814	C₂×C₄×C₁₁	—	2	1	no	—
815	C₂×C₄×C₁₁	—	2	1	no	—
816	C₂×C₄×C₁₁	—	2	1	no	—
817	C₂×C₄×C₁₁	—	2	1	no	—
818	C₂×C₄×C₁₁	—	4	2	no	—
819	C₂×C₄×C₁₁	—	4	2	no	—
820	C₂×C₄×C₁₁	—	8	1	no	—
821	C₂×C₄×C₁₁	—	8	1	no	—
822	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
823	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
824	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
825	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
826	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
827	C₂²⋊D₁₁	—	2	2	no	—
828	C₂²⋊D₁₁	—	4	2	no	—
829	C₂²⋊D₁₁	—	4	2	no	—
830	C₂²⋊D₁₁	—	4	2	no	—
831	C₂²⋊D₁₁	—	4	2	no	—
832	C₂²⋊D₁₁	—	8	1	no	—
833	C₂²⋊D₁₁	—	8	1	no	—
834	C₂²⋊D₁₁	—	8	1	no	—
835	C₂²⋊D₁₁	#137	1	4	yes	complemented
836	C₂×Dic₁₁	—	2	1	no	—
837	C₂×Dic₁₁	—	2	1	no	—
838	C₂×Dic₁₁	—	2	1	no	—
839	C₂×Dic₁₁	—	2	1	no	—
840	C₂×Dic₁₁	—	2	1	no	—
841	C₂×Dic₁₁	—	2	1	no	—
842	C₂×Dic₁₁	—	4	1	no	—
843	C₂×Dic₁₁	—	4	1	no	—
844	C₂×Dic₁₁	—	4	2	no	—
845	C₂×Dic₁₁	—	8	1	no	—
846	C₂×Dic₁₁	—	8	1	no	—
847	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
848	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
849	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
850	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
851	C₂×Dic₁₁	C₂²×D₄	1	1	yes	characteristic
852	D₄₄	—	2	4	no	—
853	D₄₄	—	2	2	no	—
854	D₄₄	—	2	1	no	—
855	D₄₄	—	2	1	no	—
856	D₄₄	—	2	1	no	—
857	D₄₄	—	4	2	no	—
858	D₄₄	—	4	2	no	—
859	D₄₄	—	4	2	no	—
860	D₄₄	—	4	2	no	—
861	D₄₄	—	4	2	no	—
862	D₄₄	H(5,𝔽₂)	1	2	yes	—
863	C₄×D₁₁	—	2	4	no	—
864	C₄×D₁₁	—	2	1	no	—
865	C₄×D₁₁	—	2	1	no	—
866	C₄×D₁₁	—	2	1	no	—
867	C₄×D₁₁	—	2	1	no	—
868	C₄×D₁₁	—	2	1	no	—
869	C₄×D₁₁	—	2	1	no	—
870	C₄×D₁₁	—	2	2	no	—
871	C₄×D₁₁	—	4	1	no	—
872	C₄×D₁₁	—	4	1	no	—
873	C₄×D₁₁	—	4	1	no	—
874	C₄×D₁₁	—	4	1	no	—
875	C₄×D₁₁	—	4	1	no	—
876	C₄×D₁₁	—	4	2	no	—
877	C₄×D₁₁	—	4	2	no	—
878	C₄×D₁₁	—	4	2	no	—
879	C₄×D₁₁	—	4	2	no	—
880	C₄×D₁₁	—	4	2	no	—
881	C₄×D₁₁	—	4	2	no	—
882	C₄×D₁₁	—	8	1	no	—
883	C₄×D₁₁	—	8	1	no	—
884	C₄×D₁₁	—	8	1	no	—
885	C₄×D₁₁	—	8	1	no	—
886	C₄×D₁₁	—	8	1	no	—
887	Dic₂₂	—	2	1	no	—
888	Dic₂₂	—	2	1	no	—
889	Dic₂₂	—	2	1	no	—
890	Dic₂₂	—	2	1	no	—
891	Dic₂₂	—	4	2	no	—
892	Dic₂₂	—	8	1	no	—
893	Dic₂₂	—	8	1	no	—
894	Dic₂₂	—	8	1	no	—
895	Dic₂₂	—	8	1	no	—
896	C₈×C₁₁	—	2	1	no	—
897	C₈×C₁₁	—	2	1	no	—
898	C₈×C₁₁	—	2	1	no	—
899	C₈×C₁₁	—	2	1	no	—
900	C₁₁⋊C₈	—	2	1	no	—
901	C₁₁⋊C₈	—	2	1	no	—
902	C₁₁⋊C₈	—	2	1	no	—
903	C₁₁⋊C₈	—	2	1	no	—
904	C₂²×#41	—	11	1	no	—
905	C₂²×#41	—	11	1	no	—
906	C₂×#137	—	11	1	no	—
907	C₂×#137	—	11	1	no	—
908	C₂×#137	—	11	1	no	—
909	C₂×#137	C₂×D₁₁	1	1	yes	characteristic, complemented
910	C₂²×Q₁₆	—	11	1	no	—
911	C₂²×Q₁₆	C₂×D₁₁	1	1	yes	characteristic, complemented
912	C₂²×SD₁₆	—	11	1	no	—
913	C₂²×SD₁₆	—	11	1	no	—
914	#554	—	11	1	no	—
915	#554	—	11	1	no	—
916	#554	—	11	1	no	—
917	#554	—	11	1	no	—
918	#554	—	22	1	no	—
919	#554	—	22	1	no	—
920	#554	—	22	1	no	—
921	#554	—	22	1	no	—
922	#550	—	11	1	no	—
923	D₄×Q₈	—	11	1	no	—
924	D₄×Q₈	—	11	1	no	—
925	D₄×Q₈	—	11	1	no	—
926	D₄×Q₈	—	11	1	no	—
927	D₄×Q₈	C₂×D₁₁	1	1	yes	characteristic, complemented
928	#548	—	11	1	no	—
929	#548	C₂×D₁₁	1	1	yes	characteristic
930	#547	—	11	1	no	—
931	#547	—	22	1	no	—
932	#546	—	11	1	no	—
933	#546	—	11	1	no	—
934	#546	—	22	1	no	—
935	#546	—	22	1	no	—
936	D₄²	—	11	1	no	—
937	D₄²	—	22	1	no	—
938	#544	—	22	1	no	—
939	#543	—	22	1	no	—
940	#543	—	22	1	no	—
941	#533	—	11	1	no	—
942	#533	—	11	1	no	—
943	#532	—	11	1	no	—
944	#532	—	22	1	no	—
945	#525	—	11	1	no	—
946	#525	—	11	1	no	—
947	#525	—	22	1	no	—
948	#525	—	22	1	no	—
949	C₂×C₂²⋊Q₈	—	11	1	no	—
950	C₂×C₂²⋊Q₈	—	11	1	no	—
951	C₂×C₂²⋊Q₈	—	11	1	no	—
952	C₂×C₂²⋊Q₈	—	11	1	no	—
953	#518	—	22	1	no	—
954	C₄×#41	—	11	1	no	—
955	C₂×C₄×D₄	—	11	1	no	—
956	C₂×C₄×D₄	—	22	1	no	—
957	#497	—	11	1	no	—
958	#497	C₂×D₁₁	1	1	yes	characteristic, complemented
959	#494	—	11	1	no	—
960	#492	—	11	1	no	—
961	#489	—	11	1	no	—
962	#489	—	11	1	no	—
963	#487	—	11	1	no	—
964	#486	—	11	1	no	—
965	#485	—	11	1	no	—
966	#485	—	11	1	no	—
967	#485	—	11	1	no	—
968	#485	—	11	1	no	—
969	#484	—	11	1	no	—
970	#484	—	11	1	no	—
971	#483	—	11	1	no	—
972	#483	—	11	1	no	—
973	#481	—	11	1	no	—
974	#481	—	11	1	no	—
975	#480	—	11	1	no	—
976	#480	—	11	1	no	—
977	#477	—	11	1	no	—
978	#476	—	11	1	no	—
979	#475	—	11	1	no	—
980	#474	—	11	1	no	—
981	#470	—	11	1	no	—
982	#470	—	11	1	no	—
983	#470	—	11	1	no	—
984	#470	C₂×D₁₁	1	1	yes	characteristic, complemented
985	#468	—	11	1	no	—
986	#468	—	11	1	no	—
987	#468	—	11	1	no	—
988	#468	—	11	1	no	—
989	#467	—	11	1	no	—
990	#467	—	11	1	no	—
991	#467	—	11	1	no	—
992	#467	—	11	1	no	—
993	#465	—	11	1	no	—
994	#465	—	11	1	no	—
995	#465	—	11	1	no	—
996	#465	C₂×D₁₁	1	1	yes	characteristic, complemented
997	#464	—	11	1	no	—
998	#464	—	11	1	no	—
999	#464	—	11	1	no	—
1000	#464	C₂×D₁₁	1	1	yes	characteristic, complemented
1001	#462	—	11	1	no	—
1002	#462	—	11	1	no	—
1003	#462	—	11	1	no	—
1004	#462	C₂×D₁₁	1	1	yes	characteristic, complemented
1005	#461	—	11	1	no	—
1006	#461	—	11	1	no	—
1007	#460	—	11	1	no	—
1008	#460	—	11	1	no	—
1009	#452	—	11	1	no	—
1010	#452	—	11	1	no	—
1011	#452	—	11	1	no	—
1012	#452	—	11	1	no	—
1013	#452	—	11	1	no	—
1014	#452	—	11	1	no	—
1015	#452	—	11	1	no	—
1016	#452	—	11	1	no	—
1017	#452	—	11	1	no	—
1018	#452	—	11	1	no	—
1019	#452	—	11	1	no	—
1020	#452	—	11	1	no	—
1021	#452	—	11	1	no	—
1022	#452	—	11	1	no	—
1023	#452	—	11	1	no	—
1024	#452	—	11	1	no	—
1025	#452	—	11	1	no	—
1026	#452	—	11	1	no	—
1027	#452	—	11	1	no	—
1028	#452	C₂×D₁₁	1	1	yes	characteristic, complemented
1029	#451	—	11	1	no	—
1030	#451	—	11	1	no	—
1031	#451	—	11	1	no	—
1032	#451	—	11	1	no	—
1033	#451	—	11	1	no	—
1034	#451	—	11	1	no	—
1035	#451	C₂×D₁₁	1	1	yes	characteristic, complemented
1036	#451	C₂×D₁₁	1	1	yes	characteristic, complemented
1037	#450	—	11	1	no	—
1038	#450	—	11	1	no	—
1039	#450	—	11	1	no	—
1040	#450	—	11	1	no	—
1041	#448	—	11	1	no	—
1042	#448	—	11	1	no	—
1043	#448	—	11	1	no	—
1044	#448	C₂×D₁₁	1	1	yes	characteristic, complemented
1045	#441	—	11	1	no	—
1046	#441	C₂×D₁₁	1	1	yes	characteristic, complemented
1047	#440	—	11	1	no	—
1048	#440	—	11	1	no	—
1049	C₄×Q₁₆	—	11	1	no	—
1050	C₄×Q₁₆	—	11	1	no	—
1051	C₄×SD₁₆	—	11	1	no	—
1052	C₄×SD₁₆	—	11	1	no	—
1053	#436	—	11	1	no	—
1054	#436	—	11	1	no	—
1055	#435	—	11	1	no	—
1056	#435	—	11	1	no	—
1057	#435	—	11	1	no	—
1058	#435	C₂×D₁₁	1	1	yes	characteristic, complemented
1059	C₈×D₄	—	11	1	no	—
1060	C₈×D₄	—	11	1	no	—
1061	#432	—	11	1	no	—
1062	#431	—	11	1	no	—
1063	#417	—	11	1	no	—
1064	#417	—	11	1	no	—
1065	#417	—	11	1	no	—
1066	#417	—	11	1	no	—
1067	C₂×#103	—	11	1	no	—
1068	C₂×#103	—	11	1	no	—
1069	C₂×#102	—	11	1	no	—
1070	C₂×#102	—	11	1	no	—
1071	#407	—	11	1	no	—
1072	#407	—	11	1	no	—
1073	C₂×C₂²⋊C₈	—	11	1	no	—
1074	C₂×C₂²⋊C₈	—	11	1	no	—
1075	C₂²×C₁₁	—	2	1	no	—
1076	C₂²×C₁₁	—	2	1	no	—
1077	C₂²×C₁₁	—	2	1	no	—
1078	C₂²×C₁₁	—	2	1	no	—
1079	C₂²×C₁₁	—	2	1	no	—
1080	C₂²×C₁₁	—	4	1	no	—
1081	C₂²×C₁₁	—	4	1	no	—
1082	C₂²×C₁₁	—	4	1	no	—
1083	C₂²×C₁₁	C₂×#137	1	2	yes	—
1084	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
1085	C₂×D₁₁	—	2	1	no	—
1086	C₂×D₁₁	—	2	1	no	—
1087	C₂×D₁₁	—	2	1	no	—
1088	C₂×D₁₁	—	2	1	no	—
1089	C₂×D₁₁	—	2	2	no	—
1090	C₂×D₁₁	—	2	1	no	—
1091	C₂×D₁₁	—	2	1	no	—
1092	C₂×D₁₁	—	2	1	no	—
1093	C₂×D₁₁	—	2	1	no	—
1094	C₂×D₁₁	—	4	1	no	—
1095	C₂×D₁₁	—	4	1	no	—
1096	C₂×D₁₁	—	4	1	no	—
1097	C₂×D₁₁	—	4	1	no	—
1098	C₂×D₁₁	—	4	1	no	—
1099	C₂×D₁₁	—	8	2	no	—
1100	C₂×D₁₁	—	8	4	no	—
1101	C₂×D₁₁	—	8	2	no	—
1102	C₂×D₁₁	—	8	4	no	—
1103	C₂×D₁₁	C₂×#137	1	2	yes	—
1104	C₄×C₁₁	—	2	1	no	—
1105	C₄×C₁₁	—	2	1	no	—
1106	C₄×C₁₁	—	2	1	no	—
1107	C₄×C₁₁	—	2	2	no	—
1108	C₄×C₁₁	—	2	1	no	—
1109	C₄×C₁₁	—	4	1	no	—
1110	C₄×C₁₁	—	4	1	no	—
1111	C₄×C₁₁	—	4	1	no	—
1112	C₄×C₁₁	—	4	1	no	—
1113	C₄×C₁₁	—	4	1	no	—
1114	C₄×C₁₁	—	4	1	no	—
1115	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1116	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1117	Dic₁₁	—	2	1	no	—
1118	Dic₁₁	—	2	1	no	—
1119	Dic₁₁	—	2	1	no	—
1120	Dic₁₁	—	2	1	no	—
1121	Dic₁₁	—	4	1	no	—
1122	Dic₁₁	—	4	1	no	—
1123	Dic₁₁	—	4	1	no	—
1124	Dic₁₁	—	4	1	no	—
1125	Dic₁₁	—	4	1	no	—
1126	Dic₁₁	—	4	1	no	—
1127	Dic₁₁	C₂×#137	1	2	yes	—
1128	C₂×#41	—	11	1	no	—
1129	C₂×#41	—	11	1	no	—
1130	C₂×#41	—	11	1	no	—
1131	C₂×#41	—	11	1	no	—
1132	C₂×#41	—	11	1	no	—
1133	C₂×#41	—	11	1	no	—
1134	C₂×#41	—	22	1	no	—
1135	C₂×#41	—	22	1	no	—
1136	C₂×#41	—	22	1	no	—
1137	C₂×#41	—	22	1	no	—
1138	C₂×#41	—	44	2	no	—
1139	C₂×#41	—	44	2	no	—
1140	C₂×#41	—	44	2	no	—
1141	C₂×#41	—	44	2	no	—
1142	C₂×#41	C₂²×D₁₁	1	1	yes	characteristic
1143	C₂²×Q₈	—	11	1	no	—
1144	C₂²×Q₈	—	11	1	no	—
1145	C₂²×Q₈	—	11	1	no	—
1146	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1147	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1148	C₂²×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1149	C₂²×D₄	—	11	1	no	—
1150	C₂²×D₄	—	11	1	no	—
1151	C₂²×D₄	—	11	1	no	—
1152	C₂²×D₄	—	22	1	no	—
1153	C₂²×D₄	—	22	1	no	—
1154	C₂²×D₄	—	22	1	no	—
1155	C₂³×C₄	—	11	1	no	—
1156	C₂³×C₄	—	11	1	no	—
1157	C₂³×C₄	—	22	1	no	—
1158	C₂³×C₄	—	22	1	no	—
1159	#137	—	4	2	no	—
1160	#137	—	44	2	no	—
1161	#137	—	44	2	no	—
1162	#137	—	44	2	no	—
1163	C₂×Q₁₆	—	4	2	no	—
1164	C₂×Q₁₆	—	11	1	no	—
1165	C₂×Q₁₆	—	11	1	no	—
1166	C₂×Q₁₆	—	11	1	no	—
1167	C₂×Q₁₆	—	11	1	no	—
1168	C₂×Q₁₆	—	11	1	no	—
1169	C₂×Q₁₆	—	11	1	no	—
1170	C₂×Q₁₆	—	44	2	no	—
1171	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1172	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1173	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1174	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1175	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1176	C₂×Q₁₆	C₂²×D₁₁	1	1	yes	characteristic
1177	C₂×SD₁₆	—	11	1	no	—
1178	C₂×SD₁₆	—	11	1	no	—
1179	C₂×SD₁₆	—	11	1	no	—
1180	C₂×SD₁₆	—	11	1	no	—
1181	C₂×SD₁₆	—	11	1	no	—
1182	C₂×SD₁₆	—	11	1	no	—
1183	C₂×SD₁₆	—	11	1	no	—
1184	C₂×SD₁₆	—	11	1	no	—
1185	C₂×SD₁₆	—	11	1	no	—
1186	C₂×SD₁₆	—	44	2	no	—
1187	C₂×SD₁₆	—	44	2	no	—
1188	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1189	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1190	C₂×SD₁₆	C₂²×D₁₁	1	1	yes	characteristic
1191	C₂×M₁₆	—	11	1	no	—
1192	C₂×M₁₆	—	11	1	no	—
1193	C₂×M₁₆	—	11	1	no	—
1194	C₂×M₁₆	C₂²×D₁₁	1	1	yes	characteristic
1195	C₂²×C₈	—	11	1	no	—
1196	C₂²×C₈	—	11	1	no	—
1197	C₂²×C₈	—	11	1	no	—
1198	C₂²×C₈	C₂²×D₁₁	1	1	yes	characteristic
1199	C₄⋊Q₈	—	2	1	no	—
1200	C₄⋊Q₈	—	11	1	no	—
1201	C₄⋊Q₈	—	11	1	no	—
1202	C₄⋊Q₈	—	11	1	no	—
1203	C₄⋊Q₈	—	11	1	no	—
1204	C₄⋊Q₈	—	22	1	no	—
1205	C₄⋊Q₈	—	22	1	no	—
1206	C₄⋊Q₈	—	22	1	no	—
1207	C₄⋊Q₈	—	22	1	no	—
1208	C₄⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1209	#127	—	11	1	no	—
1210	#127	—	22	1	no	—
1211	#125	—	22	1	no	—
1212	#125	—	22	1	no	—
1213	#125	—	22	1	no	—
1214	#125	—	22	1	no	—
1215	#125	—	22	1	no	—
1216	#125	—	22	1	no	—
1217	#124	—	2	1	no	—
1218	#124	—	11	1	no	—
1219	#124	—	22	1	no	—
1220	#124	C₂²×D₁₁	1	1	yes	characteristic
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	C₂²⋊Q₈	—	2	1	no	—
1228	C₂²⋊Q₈	—	2	1	no	—
1229	C₂²⋊Q₈	—	2	1	no	—
1230	C₂²⋊Q₈	—	11	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	—	22	1	no	—
1266	C₂²⋊Q₈	—	22	1	no	—
1267	C₂²⋊Q₈	—	22	1	no	—
1268	C₂²⋊Q₈	—	22	1	no	—
1269	C₂²⋊Q₈	—	22	1	no	—
1270	C₂²⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1271	C₂²⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1272	C₂²⋊Q₈	C₂²×D₁₁	1	1	yes	characteristic
1273	#121	—	2	1	no	—
1274	#121	—	11	1	no	—
1275	#121	—	11	1	no	—
1276	#121	—	11	1	no	—
1277	#121	—	22	1	no	—
1278	#121	—	22	1	no	—
1279	#121	—	22	1	no	—
1280	#121	—	22	1	no	—
1281	#121	—	22	1	no	—
1282	#121	—	22	1	no	—
1283	#121	—	22	1	no	—
1284	#121	—	22	1	no	—
1285	#121	—	22	1	no	—
1286	#121	C₂²×D₁₁	1	1	yes	characteristic
1287	#120	—	22	1	no	—
1288	#120	—	22	1	no	—
1289	#120	—	22	1	no	—
1290	#120	—	22	1	no	—
1291	#120	—	22	1	no	—
1292	#120	—	22	1	no	—
1293	C₄×Q₈	—	11	1	no	—
1294	C₄×Q₈	—	11	1	no	—
1295	C₄×Q₈	—	11	1	no	—
1296	C₄×Q₈	—	11	1	no	—
1297	C₄×Q₈	—	22	1	no	—
1298	C₄×Q₈	—	22	1	no	—
1299	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1300	C₄×Q₈	C₂²×D₁₁	1	1	yes	characteristic
1301	C₄×D₄	—	2	1	no	—
1302	C₄×D₄	—	2	1	no	—
1303	C₄×D₄	—	11	1	no	—
1304	C₄×D₄	—	11	1	no	—
1305	C₄×D₄	—	11	1	no	—
1306	C₄×D₄	—	11	1	no	—
1307	C₄×D₄	—	11	1	no	—
1308	C₄×D₄	—	11	1	no	—
1309	C₄×D₄	—	11	1	no	—
1310	C₄×D₄	—	11	1	no	—
1311	C₄×D₄	—	11	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	—	22	1	no	—
1320	C₄×D₄	—	22	1	no	—
1321	C₄×D₄	—	22	1	no	—
1322	C₄×D₄	—	22	1	no	—
1323	C₄×D₄	—	22	1	no	—
1324	C₄×D₄	—	22	1	no	—
1325	C₄×D₄	—	22	1	no	—
1326	C₄×D₄	—	22	1	no	—
1327	C₄×D₄	—	22	1	no	—
1328	C₄×D₄	—	22	1	no	—
1329	C₄×D₄	—	22	1	no	—
1330	C₄×D₄	C₂²×D₁₁	1	1	yes	characteristic
1331	#117	—	11	1	no	—
1332	#117	—	22	1	no	—
1333	#117	—	22	1	no	—
1334	#117	—	22	1	no	—
1335	C₂×C₄⋊C₄	—	11	1	no	—
1336	C₂×C₄⋊C₄	—	11	1	no	—
1337	C₂×C₄⋊C₄	—	11	1	no	—
1338	C₂×C₄⋊C₄	—	11	1	no	—
1339	C₂×C₄⋊C₄	—	11	1	no	—
1340	C₂×C₄⋊C₄	—	22	1	no	—
1341	C₂×C₄⋊C₄	—	22	1	no	—
1342	C₂×C₄⋊C₄	—	22	1	no	—
1343	C₂×C₄⋊C₄	—	22	1	no	—
1344	C₂×C₄⋊C₄	—	22	1	no	—
1345	C₂×C₂²⋊C₄	—	11	1	no	—
1346	C₂×C₂²⋊C₄	—	11	1	no	—
1347	C₂×C₂²⋊C₄	—	22	1	no	—
1348	C₂×C₂²⋊C₄	—	22	1	no	—
1349	C₂×C₂²⋊C₄	—	22	1	no	—
1350	C₂×C₂²⋊C₄	—	22	1	no	—
1351	C₂×C₂²⋊C₄	—	22	1	no	—
1352	C₂×C₂²⋊C₄	—	22	1	no	—
1353	C₂×C₄²	—	11	1	no	—
1354	C₂×C₄²	—	22	1	no	—
1355	#107	—	11	1	no	—
1356	#107	—	11	1	no	—
1357	#107	—	11	1	no	—
1358	#107	—	11	1	no	—
1359	#106	—	11	1	no	—
1360	#106	—	11	1	no	—
1361	#106	—	11	1	no	—
1362	#106	C₂²×D₁₁	1	1	yes	characteristic
1363	C₄⋊C₈	—	11	1	no	—
1364	C₄⋊C₈	—	11	1	no	—
1365	C₄⋊C₈	—	11	1	no	—
1366	C₄⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
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	—	11	1	no	—
1379	#103	—	11	1	no	—
1380	#103	—	11	1	no	—
1381	#103	—	11	1	no	—
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	—	11	1	no	—
1391	#102	—	11	1	no	—
1392	#102	—	11	1	no	—
1393	#102	—	11	1	no	—
1394	#102	—	11	1	no	—
1395	#102	—	11	1	no	—
1396	#102	—	11	1	no	—
1397	#102	—	11	1	no	—
1398	#102	C₂²×D₁₁	1	1	yes	characteristic
1399	C₂²⋊C₈	—	11	1	no	—
1400	C₂²⋊C₈	—	11	1	no	—
1401	C₂²⋊C₈	—	11	1	no	—
1402	C₂²⋊C₈	—	11	1	no	—
1403	C₂²⋊C₈	—	11	1	no	—
1404	C₂²⋊C₈	—	11	1	no	—
1405	C₂²⋊C₈	—	11	1	no	—
1406	C₂²⋊C₈	—	11	1	no	—
1407	C₂²⋊C₈	—	11	1	no	—
1408	C₂²⋊C₈	—	11	1	no	—
1409	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1410	C₂²⋊C₈	C₂²×D₁₁	1	1	yes	characteristic
1411	#97	—	11	1	no	—
1412	#97	C₂²×D₁₁	1	1	yes	characteristic
1413	C₄×C₈	—	11	1	no	—
1414	C₄×C₈	—	11	1	no	—
1415	C₂×C₁₁	—	2	2	no	—
1416	C₂×C₁₁	—	4	1	no	—
1417	C₂×C₁₁	—	8	1	no	—
1418	C₂×C₁₁	#3484	1	1	yes	characteristic
1419	C₂×C₁₁	C₂²×#137	1	1	yes	characteristic
1420	C₂×C₁₁	#3584	1	1	yes	characteristic
1421	D₁₁	—	2	2	no	—
1422	D₁₁	—	4	1	no	—
1423	D₁₁	—	4	1	no	—
1424	D₁₁	—	4	2	no	—
1425	D₁₁	—	8	1	no	—
1426	C₂⁴	—	11	1	no	—
1427	C₂⁴	—	11	1	no	—
1428	C₂⁴	—	22	1	no	—
1429	C₂⁴	—	22	1	no	—
1430	#41	—	2	2	no	—
1431	#41	—	4	1	no	—
1432	#41	—	22	2	no	—
1433	#41	—	22	2	no	—
1434	#41	—	22	2	no	—
1435	#41	—	22	2	no	—
1436	#41	—	22	2	no	—
1437	#41	—	44	1	no	—
1438	#41	—	44	4	no	—
1439	#41	—	44	1	no	—
1440	#41	—	44	1	no	—
1441	#41	—	44	4	no	—
1442	#41	—	44	1	no	—
1443	#41	—	44	1	no	—
1444	#41	—	44	1	no	—
1445	#41	—	44	1	no	—
1446	#41	—	44	4	no	—
1447	#41	—	44	4	no	—
1448	C₂×Q₈	—	2	1	no	—
1449	C₂×Q₈	—	2	1	no	—
1450	C₂×Q₈	—	2	1	no	—
1451	C₂×Q₈	—	2	2	no	—
1452	C₂×Q₈	—	4	1	no	—
1453	C₂×Q₈	—	4	1	no	—
1454	C₂×Q₈	—	4	1	no	—
1455	C₂×Q₈	—	4	1	no	—
1456	C₂×Q₈	—	4	1	no	—
1457	C₂×Q₈	—	11	1	no	—
1458	C₂×Q₈	—	11	1	no	—
1459	C₂×Q₈	—	22	1	no	—
1460	C₂×Q₈	—	22	1	no	—
1461	C₂×Q₈	—	22	1	no	—
1462	C₂×Q₈	—	22	1	no	—
1463	C₂×Q₈	—	22	1	no	—
1464	C₂×Q₈	—	22	2	no	—
1465	C₂×Q₈	—	44	1	no	—
1466	C₂×Q₈	—	44	1	no	—
1467	C₂×Q₈	—	44	1	no	—
1468	C₂×Q₈	—	44	1	no	—
1469	C₂×Q₈	—	44	1	no	—
1470	C₂×Q₈	C₂³×D₁₁	1	1	yes	characteristic
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×Q₈	C₂³×D₁₁	1	1	yes	characteristic
1475	C₂×D₄	—	2	1	no	—
1476	C₂×D₄	—	2	1	no	—
1477	C₂×D₄	—	11	1	no	—
1478	C₂×D₄	—	11	1	no	—
1479	C₂×D₄	—	11	1	no	—
1480	C₂×D₄	—	11	1	no	—
1481	C₂×D₄	—	11	1	no	—
1482	C₂×D₄	—	22	2	no	—
1483	C₂×D₄	—	22	1	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	—	22	1	no	—
1489	C₂×D₄	—	22	1	no	—
1490	C₂×D₄	—	22	1	no	—
1491	C₂×D₄	—	22	4	no	—
1492	C₂×D₄	—	22	2	no	—
1493	C₂×D₄	—	22	1	no	—
1494	C₂×D₄	—	22	1	no	—
1495	C₂×D₄	—	22	1	no	—
1496	C₂×D₄	—	22	1	no	—
1497	C₂×D₄	—	22	1	no	—
1498	C₂×D₄	—	44	1	no	—
1499	C₂×D₄	—	44	4	no	—
1500	C₂×D₄	—	44	1	no	—
1501	C₂×D₄	—	44	4	no	—
1502	C₂×D₄	—	44	4	no	—
1503	C₂×D₄	D₄×D₁₁	1	1	yes	characteristic
1504	C₂×D₄	C₂³×D₁₁	1	1	yes	characteristic
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	11	1	no	—
1510	C₂²×C₄	—	11	1	no	—
1511	C₂²×C₄	—	11	1	no	—
1512	C₂²×C₄	—	11	1	no	—
1513	C₂²×C₄	—	11	1	no	—
1514	C₂²×C₄	—	11	1	no	—
1515	C₂²×C₄	—	11	1	no	—
1516	C₂²×C₄	—	11	1	no	—
1517	C₂²×C₄	—	11	1	no	—
1518	C₂²×C₄	—	11	1	no	—
1519	C₂²×C₄	—	11	1	no	—
1520	C₂²×C₄	—	22	1	no	—
1521	C₂²×C₄	—	22	1	no	—
1522	C₂²×C₄	—	22	1	no	—
1523	C₂²×C₄	—	22	1	no	—
1524	C₂²×C₄	—	22	1	no	—
1525	C₂²×C₄	—	22	1	no	—
1526	C₂²×C₄	—	22	1	no	—
1527	C₂²×C₄	—	22	1	no	—
1528	C₂²×C₄	—	22	1	no	—
1529	C₂²×C₄	—	22	1	no	—
1530	C₂²×C₄	—	22	1	no	—
1531	C₂²×C₄	—	22	1	no	—
1532	C₂²×C₄	—	22	1	no	—
1533	C₂²×C₄	—	22	1	no	—
1534	C₂²×C₄	—	22	1	no	—
1535	C₂²×C₄	—	44	1	no	—
1536	C₂²×C₄	—	44	1	no	—
1537	C₂²×C₄	—	44	1	no	—
1538	C₂²×C₄	—	44	1	no	—
1539	C₂²×C₄	—	44	4	no	—
1540	C₂²×C₄	—	44	4	no	—
1541	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1542	C₂²×C₄	C₂³×D₁₁	1	1	yes	characteristic
1543	Q₁₆	—	2	2	no	—
1544	Q₁₆	—	2	2	no	—
1545	Q₁₆	—	2	2	no	—
1546	Q₁₆	—	4	1	no	—
1547	Q₁₆	—	4	1	no	—
1548	Q₁₆	—	4	1	no	—
1549	Q₁₆	—	22	2	no	—
1550	Q₁₆	—	44	1	no	—
1551	Q₁₆	—	44	1	no	—
1552	Q₁₆	—	44	1	no	—
1553	Q₁₆	—	44	1	no	—
1554	Q₁₆	—	44	1	no	—
1555	SD₁₆	—	4	1	no	—
1556	SD₁₆	—	4	1	no	—
1557	SD₁₆	—	4	1	no	—
1558	SD₁₆	—	22	2	no	—
1559	SD₁₆	—	22	2	no	—
1560	SD₁₆	—	22	2	no	—
1561	SD₁₆	—	22	2	no	—
1562	SD₁₆	—	44	1	no	—
1563	SD₁₆	—	44	1	no	—
1564	SD₁₆	—	44	1	no	—
1565	SD₁₆	—	44	1	no	—
1566	SD₁₆	—	44	1	no	—
1567	M₁₆	—	4	1	no	—
1568	M₁₆	—	44	1	no	—
1569	M₁₆	—	44	1	no	—
1570	M₁₆	—	44	1	no	—
1571	C₂×C₈	—	4	1	no	—
1572	C₂×C₈	—	11	1	no	—
1573	C₂×C₈	—	11	1	no	—
1574	C₂×C₈	—	11	1	no	—
1575	C₂×C₈	—	11	1	no	—
1576	C₂×C₈	—	44	1	no	—
1577	C₂×C₈	—	44	1	no	—
1578	C₂×C₈	—	44	1	no	—
1579	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1580	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1581	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1582	C₂×C₈	C₂³×D₁₁	1	1	yes	characteristic
1583	C₄⋊C₄	—	2	1	no	—
1584	C₄⋊C₄	—	2	1	no	—
1585	C₄⋊C₄	—	2	1	no	—
1586	C₄⋊C₄	—	2	1	no	—
1587	C₄⋊C₄	—	2	1	no	—
1588	C₄⋊C₄	—	2	1	no	—
1589	C₄⋊C₄	—	2	1	no	—
1590	C₄⋊C₄	—	11	1	no	—
1591	C₄⋊C₄	—	11	1	no	—
1592	C₄⋊C₄	—	11	1	no	—
1593	C₄⋊C₄	—	11	1	no	—
1594	C₄⋊C₄	—	11	1	no	—
1595	C₄⋊C₄	—	11	1	no	—
1596	C₄⋊C₄	—	11	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	—	22	1	no	—
1612	C₄⋊C₄	—	22	1	no	—
1613	C₄⋊C₄	—	22	1	no	—
1614	C₄⋊C₄	—	22	1	no	—
1615	C₄⋊C₄	—	22	1	no	—
1616	C₄⋊C₄	—	22	1	no	—
1617	C₄⋊C₄	—	22	1	no	—
1618	C₄⋊C₄	—	22	1	no	—
1619	C₄⋊C₄	—	22	1	no	—
1620	C₄⋊C₄	—	22	1	no	—
1621	C₄⋊C₄	—	22	1	no	—
1622	C₄⋊C₄	—	22	1	no	—
1623	C₄⋊C₄	—	22	1	no	—
1624	C₄⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1625	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1626	C₄⋊C₄	C₂³×D₁₁	1	1	yes	characteristic
1627	C₂²⋊C₄	—	2	1	no	—
1628	C₂²⋊C₄	—	2	1	no	—
1629	C₂²⋊C₄	—	2	1	no	—
1630	C₂²⋊C₄	—	2	1	no	—
1631	C₂²⋊C₄	—	2	1	no	—
1632	C₂²⋊C₄	—	2	1	no	—
1633	C₂²⋊C₄	—	11	1	no	—
1634	C₂²⋊C₄	—	11	1	no	—
1635	C₂²⋊C₄	—	11	1	no	—
1636	C₂²⋊C₄	—	11	1	no	—
1637	C₂²⋊C₄	—	11	1	no	—
1638	C₂²⋊C₄	—	11	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	—	22	1	no	—
1651	C₂²⋊C₄	—	22	1	no	—
1652	C₂²⋊C₄	—	22	1	no	—
1653	C₂²⋊C₄	—	22	1	no	—
1654	C₂²⋊C₄	—	22	1	no	—
1655	C₂²⋊C₄	—	22	1	no	—
1656	C₂²⋊C₄	—	22	1	no	—
1657	C₂²⋊C₄	—	22	1	no	—
1658	C₂²⋊C₄	—	22	1	no	—
1659	C₂²⋊C₄	—	22	1	no	—
1660	C₂²⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1661	C₂²⋊C₄	D₄×D₁₁	1	1	yes	characteristic
1662	C₄²	—	2	1	no	—
1663	C₄²	—	2	1	no	—
1664	C₄²	—	11	1	no	—
1665	C₄²	—	11	1	no	—
1666	C₄²	—	11	1	no	—
1667	C₄²	—	22	1	no	—
1668	C₄²	—	22	1	no	—
1669	C₄²	—	22	1	no	—
1670	C₄²	—	22	1	no	—
1671	C₄²	—	22	1	no	—
1672	C₄²	C₂³×D₁₁	1	1	yes	characteristic
1673	C₁₁	#61607	1	1	yes	characteristic, complemented, Sylow
1674	C₂³	—	2	1	no	—
1675	C₂³	—	11	1	no	—
1676	C₂³	—	11	1	no	—
1677	C₂³	—	11	1	no	—
1678	C₂³	—	22	2	no	—
1679	C₂³	—	22	1	no	—
1680	C₂³	—	22	2	no	—
1681	C₂³	—	22	1	no	—
1682	C₂³	—	44	1	no	—
1683	C₂³	—	44	1	no	—
1684	C₂³	—	44	1	no	—
1685	C₂³	—	44	1	no	—
1686	C₂³	—	44	2	no	—
1687	C₂³	—	44	2	no	—
1688	C₂³	—	44	2	no	—
1689	C₂³	—	44	2	no	—
1690	C₂³	—	88	1	no	—
1691	C₂³	—	88	1	no	—
1692	C₂³	C₂×D₄×D₁₁	1	1	yes	characteristic
1693	C₂³	C₂×D₄×D₁₁	1	1	yes	characteristic
1694	Q₈	—	2	1	no	—
1695	Q₈	—	2	1	no	—
1696	Q₈	—	2	1	no	—
1697	Q₈	—	2	1	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	4	2	no	—
1704	Q₈	—	8	1	no	—
1705	Q₈	—	8	1	no	—
1706	Q₈	—	22	1	no	—
1707	Q₈	—	22	1	no	—
1708	Q₈	—	22	1	no	—
1709	Q₈	—	22	1	no	—
1710	Q₈	—	44	2	no	—
1711	Q₈	—	88	1	no	—
1712	Q₈	—	88	1	no	—
1713	Q₈	—	88	1	no	—
1714	Q₈	—	88	1	no	—
1715	Q₈	#67037	1	2	yes	—
1716	D₄	—	2	2	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	4	2	no	—
1720	D₄	—	4	2	no	—
1721	D₄	—	11	4	no	—
1722	D₄	—	11	2	no	—
1723	D₄	—	22	2	no	—
1724	D₄	—	22	4	no	—
1725	D₄	—	22	2	no	—
1726	D₄	—	22	1	no	—
1727	D₄	—	22	1	no	—
1728	D₄	—	22	1	no	—
1729	D₄	—	44	2	no	—
1730	D₄	—	44	2	no	—
1731	D₄	—	44	2	no	—
1732	D₄	—	44	2	no	—
1733	D₄	—	44	2	no	—
1734	D₄	—	44	2	no	—
1735	D₄	—	44	2	no	—
1736	D₄	—	44	2	no	—
1737	D₄	—	44	2	no	—
1738	D₄	—	88	1	no	—
1739	D₄	—	88	1	no	—
1740	D₄	—	88	1	no	—
1741	C₂×C₄	—	2	1	no	—
1742	C₂×C₄	—	2	1	no	—
1743	C₂×C₄	—	2	1	no	—
1744	C₂×C₄	—	2	1	no	—
1745	C₂×C₄	—	2	1	no	—
1746	C₂×C₄	—	2	1	no	—
1747	C₂×C₄	—	2	1	no	—
1748	C₂×C₄	—	2	1	no	—
1749	C₂×C₄	—	2	1	no	—
1750	C₂×C₄	—	2	1	no	—
1751	C₂×C₄	—	2	1	no	—
1752	C₂×C₄	—	4	2	no	—
1753	C₂×C₄	—	4	2	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	8	1	no	—
1756	C₂×C₄	—	11	1	no	—
1757	C₂×C₄	—	11	1	no	—
1758	C₂×C₄	—	11	1	no	—
1759	C₂×C₄	—	11	1	no	—
1760	C₂×C₄	—	11	1	no	—
1761	C₂×C₄	—	22	2	no	—
1762	C₂×C₄	—	22	4	no	—
1763	C₂×C₄	—	22	1	no	—
1764	C₂×C₄	—	22	1	no	—
1765	C₂×C₄	—	22	1	no	—
1766	C₂×C₄	—	22	1	no	—
1767	C₂×C₄	—	22	1	no	—
1768	C₂×C₄	—	22	1	no	—
1769	C₂×C₄	—	22	1	no	—
1770	C₂×C₄	—	22	1	no	—
1771	C₂×C₄	—	22	1	no	—
1772	C₂×C₄	—	22	1	no	—
1773	C₂×C₄	—	22	1	no	—
1774	C₂×C₄	—	22	1	no	—
1775	C₂×C₄	—	44	1	no	—
1776	C₂×C₄	—	44	1	no	—
1777	C₂×C₄	—	44	1	no	—
1778	C₂×C₄	—	44	1	no	—
1779	C₂×C₄	—	44	1	no	—
1780	C₂×C₄	—	44	2	no	—
1781	C₂×C₄	—	44	2	no	—
1782	C₂×C₄	—	44	2	no	—
1783	C₂×C₄	—	44	2	no	—
1784	C₂×C₄	—	44	2	no	—
1785	C₂×C₄	—	44	2	no	—
1786	C₂×C₄	—	44	1	no	—
1787	C₂×C₄	—	44	1	no	—
1788	C₂×C₄	—	44	2	no	—
1789	C₂×C₄	—	88	1	no	—
1790	C₂×C₄	—	88	1	no	—
1791	C₂×C₄	—	88	1	no	—
1792	C₂×C₄	—	88	1	no	—
1793	C₂×C₄	—	88	1	no	—
1794	C₂×C₄	—	88	1	no	—
1795	C₂×C₄	—	88	1	no	—
1796	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1797	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1798	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1799	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
1800	C₂×C₄	C₂⁴×D₁₁	1	1	yes	characteristic
1801	C₈	—	2	1	no	—
1802	C₈	—	2	1	no	—
1803	C₈	—	2	1	no	—
1804	C₈	—	2	1	no	—
1805	C₈	—	22	1	no	—
1806	C₈	—	22	1	no	—
1807	C₈	—	22	1	no	—
1808	C₈	—	22	1	no	—
1809	C₂²	—	2	1	no	—
1810	C₂²	—	2	1	no	—
1811	C₂²	—	2	1	no	—
1812	C₂²	—	2	1	no	—
1813	C₂²	—	2	1	no	—
1814	C₂²	—	4	1	no	—
1815	C₂²	—	4	1	no	—
1816	C₂²	—	4	1	no	—
1817	C₂²	—	11	2	no	—
1818	C₂²	—	22	1	no	—
1819	C₂²	—	22	1	no	—
1820	C₂²	—	22	2	no	—
1821	C₂²	—	22	1	no	—
1822	C₂²	—	22	1	no	—
1823	C₂²	—	22	1	no	—
1824	C₂²	—	22	1	no	—
1825	C₂²	—	22	1	no	—
1826	C₂²	—	22	1	no	—
1827	C₂²	—	44	1	no	—
1828	C₂²	—	44	1	no	—
1829	C₂²	—	44	1	no	—
1830	C₂²	—	44	1	no	—
1831	C₂²	—	44	1	no	—
1832	C₂²	—	88	2	no	—
1833	C₂²	—	88	4	no	—
1834	C₂²	—	88	2	no	—
1835	C₂²	—	88	4	no	—
1836	C₂²	D₁₁×#137	1	2	yes	—
1837	C₂²	C₂²×D₄×D₁₁	1	1	yes	characteristic
1838	C₄	—	2	1	no	—
1839	C₄	—	2	1	no	—
1840	C₄	—	2	2	no	—
1841	C₄	—	2	1	no	—
1842	C₄	—	2	1	no	—
1843	C₄	—	4	1	no	—
1844	C₄	—	4	1	no	—
1845	C₄	—	4	1	no	—
1846	C₄	—	4	1	no	—
1847	C₄	—	4	1	no	—
1848	C₄	—	4	1	no	—
1849	C₄	—	11	2	no	—
1850	C₄	—	22	1	no	—
1851	C₄	—	22	1	no	—
1852	C₄	—	22	1	no	—
1853	C₄	—	22	1	no	—
1854	C₄	—	44	1	no	—
1855	C₄	—	44	1	no	—
1856	C₄	—	44	1	no	—
1857	C₄	—	44	1	no	—
1858	C₄	—	44	1	no	—
1859	C₄	—	44	1	no	—
1860	C₄	C₂×#67037	1	1	yes	characteristic
1861	C₄	D₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1862	C₂	—	2	2	no	—
1863	C₂	—	4	1	no	—
1864	C₂	—	8	1	no	—
1865	C₂	—	22	2	no	—
1866	C₂	—	44	1	no	—
1867	C₂	—	44	1	no	—
1868	C₂	—	44	2	no	—
1869	C₂	—	88	1	no	—
1870	C₂	#13082244	1	1	yes	characteristic
1871	C₂	C₂×D₁₁×#137	1	1	yes	characteristic
1872	C₂	#13083386	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×#3270	C₂
socle	C₂²×C₁₁	C₂³×D₄
prime radical	#13082105	C₂
hypercenter	#3270	D₁₁
hypocenter	C₁₁	#61607
LCS	G ▷ C₂×C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3270

Complements

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

N	H ≅ G/N	type
1. #13082411	C₂	semidirect
3. #13080947	C₂	semidirect
4. #13080927	C₂	semidirect
5. #13080732	C₂	semidirect
6. #13080727	C₂	semidirect
7. #13080704	C₂	semidirect
8. #13080699	C₂	semidirect
9. #13080485	C₂	semidirect
10. #13080435	C₂	semidirect
11. Q₁₆×C₂²⋊D₁₁	C₂	semidirect
12. #13080305	C₂	semidirect
13. #13080276	C₂	semidirect
14. #13080255	C₂	semidirect
15. #13080192	C₂	semidirect
16. #13080127	C₂	semidirect
17. #13080125	C₂	semidirect
18. #13079622	C₂	semidirect
19. #13079571	C₂	semidirect
20. #13079447	C₂	semidirect
21. #13079443	C₂	semidirect
22. #13079400	C₂	semidirect
23. #13079392	C₂	semidirect
24. #13078776	C₂	semidirect
25. #13078686	C₂	semidirect
26. #13077875	C₂	semidirect
27. #13077872	C₂	semidirect
28. C₂×#10622800	C₂	semidirect
29. D₁₁×#452	C₂	semidirect
30. #13077646	C₂	semidirect
31. C₁₁×#3270	C₂	semidirect
34. C₂×C₁₁×#137	C₂²	semidirect
35. C₂²×C₁₁×Q₁₆	C₂²	semidirect
36. D₄×Q₈×C₁₁	C₂²	semidirect
41. Q₈×C₂²⋊D₁₁	C₂²	semidirect
42. C₂×#66999	C₂²	semidirect
43. C₂×#66999	C₂²	semidirect
44. C₂×#66995	C₂²	semidirect
45. C₂²×#4325	C₂²	semidirect
46. C₂×#66971	C₂²	semidirect
47. C₂×#66971	C₂²	semidirect
48. C₂×Q₁₆×D₁₁	C₂²	semidirect
49. C₂×SD₁₆×D₁₁	C₂²	semidirect
52. #10623259	C₂²	semidirect
53. #10623258	C₂²	semidirect
61. #10623166	C₂²	semidirect
68. D₁₁×C₂²⋊Q₈	C₂²	semidirect
69. D₁₁×C₂²⋊Q₈	C₂²	semidirect
74. #10623110	C₂²	semidirect
75. #10623109	C₂²	semidirect
83. #10623074	C₂²	semidirect
85. C₁₁×#497	C₂²	semidirect
86. C₁₁×#470	C₂²	semidirect
87. C₁₁×#465	C₂²	semidirect
88. C₁₁×#464	C₂²	semidirect
89. C₁₁×#462	C₂²	semidirect
90. C₁₁×#452	C₂²	semidirect
91. C₁₁×#451	C₂²	semidirect
92. C₁₁×#451	C₂²	semidirect
93. C₁₁×#448	C₂²	semidirect
94. C₁₁×#441	C₂²	semidirect
95. C₁₁×#435	C₂²	semidirect
96. #10622852	C₂²	semidirect
97. #10622845	C₂²	semidirect
98. #10622841	C₂²	semidirect
99. #10622841	C₂²	semidirect
100. #10622840	C₂²	semidirect
101. C₂×#66899	C₂²	semidirect
102. #10622801	C₂²	semidirect
103. #10622801	C₂²	semidirect
107. #10622800	C₂²	semidirect
108. #10622800	C₂²	semidirect
109. #10622800	C₂²	semidirect
110. #10622800	C₂²	semidirect
111. #10622800	C₂²	semidirect
112. #10622800	C₂²	semidirect
113. #10622800	C₂²	semidirect
114. #10622799	C₂²	semidirect
115. #10622799	C₂²	semidirect
116. #10622799	C₂²	semidirect
117. Q₁₆×Dic₁₁	C₂²	semidirect
118. Q₁₆×Dic₁₁	C₂²	semidirect
119. #10622795	C₂²	semidirect
120. #10622795	C₂²	semidirect
121. #10622795	C₂²	semidirect
122. #10622794	C₂²	semidirect
123. #10622788	C₂²	semidirect
124. #10622787	C₂²	semidirect
125. #10622787	C₂²	semidirect
126. #10622786	C₂²	semidirect
127. #10622786	C₂²	semidirect
128. #10622786	C₂²	semidirect
129. #10622783	C₂²	semidirect
130. #10622782	C₂²	semidirect
131. #10622782	C₂²	semidirect
132. #10622776	C₂²	semidirect
133. #10622776	C₂²	semidirect
134. #10622747	C₂²	semidirect
135. #10622746	C₂²	semidirect
136. #10622741	C₂²	semidirect
137. #10622739	C₂²	semidirect
138. #10622729	C₂²	semidirect
139. C₂×#66885	C₂²	semidirect
141. C₂×(C₂×D₁₁)⋊C₈	C₂²	semidirect
142. #10622699	C₂²	semidirect
143. #10622696	C₂²	semidirect
144. #10622668	C₂²	semidirect
145. #10622667	C₂²	semidirect
146. #10622665	C₂²	semidirect
147. #10622664	C₂²	semidirect
148. #10622662	C₂²	semidirect
149. #10622660	C₂²	semidirect
150. #10622659	C₂²	semidirect
151. #10622656	C₂²	semidirect
152. #10622654	C₂²	semidirect
153. #10622647	C₂²	semidirect
154. #10622643	C₂²	semidirect
155. #10622641	C₂²	semidirect
156. #10622639	C₂²	semidirect
157. #10622633	C₂²	semidirect
158. #10622624	C₂²	semidirect
159. #10622483	C₂²	semidirect
160. #10622480	C₂²	semidirect
161. #10622476	C₂²	semidirect
162. #10622475	C₂²	semidirect
163. #10622459	C₂²	semidirect
164. #10622458	C₂²	semidirect
165. #10622449	C₂²	semidirect
166. #10622446	C₂²	semidirect
167. #10622431	C₂²	semidirect
168. #10622429	C₂²	semidirect
169. #10622429	C₂²	semidirect
170. #10622427	C₂²	semidirect
171. #10622427	C₂²	semidirect
172. #10622427	C₂²	semidirect
174. #10622423	C₂²	semidirect
175. #10622422	C₂²	semidirect
176. #10622421	C₂²	semidirect
177. #10622420	C₂²	semidirect
178. #10622420	C₂²	semidirect
179. #10622419	C₂²	semidirect
180. #10622416	C₂²	semidirect
181. #10622416	C₂²	semidirect
182. D₁₁×#103	C₂²	semidirect
183. #10622407	C₂²	semidirect
184. #10622405	C₂²	semidirect
185. #10622401	C₂²	semidirect
186. #10622401	C₂²	semidirect
187. #10622396	C₂²	semidirect
188. #10622387	C₂²	semidirect
189. D₁₁×#102	C₂²	semidirect
190. #10622373	C₂²	semidirect
191. #10622349	C₂²	semidirect
192. #10622346	C₂²	semidirect
193. #10622344	C₂²	semidirect
194. #10622342	C₂²	semidirect
195. #10622339	C₂²	semidirect
197. D₁₁×C₂²⋊C₈	C₂²	semidirect
198. #10622335	C₂²	semidirect
199. #10622327	C₂²	semidirect
200. #10622323	C₂²	semidirect
201. #10622319	C₂²	semidirect
202. #10622318	C₂²	semidirect
753. #3270	D₁₁	semidirect
835. C₂²⋊D₁₁	#137	semidirect
909. C₂×#137	C₂×D₁₁	semidirect
911. C₂²×Q₁₆	C₂×D₁₁	semidirect
927. D₄×Q₈	C₂×D₁₁	semidirect
958. #497	C₂×D₁₁	semidirect
984. #470	C₂×D₁₁	semidirect
996. #465	C₂×D₁₁	semidirect
1000. #464	C₂×D₁₁	semidirect
1004. #462	C₂×D₁₁	semidirect
1028. #452	C₂×D₁₁	semidirect
1035. #451	C₂×D₁₁	semidirect
1036. #451	C₂×D₁₁	semidirect
1044. #448	C₂×D₁₁	semidirect
1046. #441	C₂×D₁₁	semidirect
1058. #435	C₂×D₁₁	semidirect
1673. C₁₁	#61607	semidirect

Maximal subgroups

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

subgroup	index
#13082411	2
#13082105	2
#13080947	2
#13080927	2
#13080732	2
#13080727	2
#13080704	2
#13080699	2
#13080485	2
#13080435	2
Q₁₆×C₂²⋊D₁₁	2
#13080305	2
#13080276	2
#13080255	2
#13080192	2
#13080127	2
#13080125	2
#13079622	2
#13079571	2
#13079447	2
#13079443	2
#13079400	2
#13079392	2
#13078776	2
#13078686	2
#13077875	2
#13077872	2
C₂×#10622800	2
D₁₁×#452	2
#13077646	2
C₁₁×#3270	2
#61607	11