Subgroups — C₁₁×#61969 #14639162

Order 2816.

1846 conjugacy classes of subgroups.

The subgroup lattice has 1310 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3401	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3377	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3326	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3313	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3307	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3277	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3271	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3269	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3254	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3251	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3248	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3218	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3214	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3212	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#3115	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3113	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#3039	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₁×#3037	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₁×#3035	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₁×#2989	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₁₁×#137	C₂²	1	2	yes	—
25	C₂×C₁₁×#137	C₂²	1	2	yes	—
26	C₂×C₁₁×#135	C₂²	1	2	yes	—
27	C₁₁×#559	—	2	1	no	—
28	C₁₁×#559	C₂²	1	1	yes	characteristic
29	C₁₁×#557	C₂²	1	1	yes	characteristic
30	C₁₁×#556	—	2	1	no	—
31	C₁₁×#556	C₂²	1	2	yes	—
32	C₁₁×#556	C₂²	1	1	yes	characteristic
33	C₁₁×#555	—	2	1	no	—
34	C₁₁×#554	—	2	1	no	—
35	C₁₁×#553	—	2	1	no	—
36	C₁₁×#553	—	2	1	no	—
37	C₁₁×#553	—	2	1	no	—
38	C₁₁×#553	—	2	1	no	—
39	C₁₁×#553	C₂²	1	1	yes	characteristic
40	C₁₁×#553	C₂²	1	1	yes	characteristic
41	C₁₁×#550	C₂²	1	1	yes	characteristic
42	C₁₁×#548	C₂²	1	1	yes	characteristic
43	C₁₁×#548	C₂²	1	1	yes	characteristic
44	C₁₁×#548	C₂²	1	2	yes	—
45	C₁₁×#548	C₂²	1	2	yes	—
46	C₁₁×#547	C₂²	1	2	yes	—
47	C₁₁×#542	—	2	1	no	—
48	C₁₁×#542	—	2	1	no	—
49	C₁₁×#537	—	2	1	no	—
50	C₁₁×#533	C₂²	1	1	yes	characteristic
51	C₁₁×#533	C₂²	1	1	yes	characteristic
52	C₁₁×#532	—	2	1	no	—
53	C₁₁×#532	C₂²	1	1	yes	characteristic
54	C₁₁×#532	C₂²	1	1	yes	characteristic
55	C₁₁×#532	C₂²	1	1	yes	characteristic
56	C₁₁×#532	C₂²	1	1	yes	characteristic
57	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
58	C₁₁×#529	—	2	1	no	—
59	C₁₁×#529	—	2	1	no	—
60	C₁₁×#529	C₂²	1	1	yes	characteristic
61	C₁₁×#529	C₂²	1	1	yes	characteristic
62	C₁₁×#520	—	2	1	no	—
63	C₄×C₁₁×#41	—	2	1	no	—
64	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
65	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
66	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
67	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
68	C₁₁×#497	C₂²	1	2	yes	—
69	C₁₁×#496	C₂²	1	2	yes	—
70	C₁₁×#495	C₂²	1	2	yes	—
71	C₁₁×#491	C₂²	1	2	yes	—
72	C₁₁×#489	C₂²	1	2	yes	—
73	C₁₁×#488	C₂²	1	2	yes	—
74	C₁₁×#485	C₂²	1	2	yes	—
75	C₁₁×#483	C₂²	1	2	yes	—
76	C₁₁×#482	C₂²	1	2	yes	—
77	C₁₁×#479	C₂²	1	2	yes	—
78	C₁₁×#478	C₂²	1	2	yes	—
79	C₁₁×#477	C₂²	1	2	yes	—
80	C₁₁×#475	C₂²	1	1	yes	characteristic
81	C₁₁×#475	C₂²	1	1	yes	characteristic
82	C₁₁×#474	C₂²	1	1	yes	characteristic
83	C₁₁×#474	C₂²	1	1	yes	characteristic
84	C₁₁×#469	C₂²	1	2	yes	—
85	C₁₁×#468	C₂²	1	2	yes	—
86	C₁₁×#468	C₂²	1	2	yes	—
87	C₁₁×#468	C₂²	1	2	yes	—
88	C₁₁×#467	C₂²	1	2	yes	—
89	C₁₁×#465	C₂²	1	2	yes	—
90	C₁₁×#464	C₂²	1	2	yes	—
91	C₁₁×#464	C₂²	1	2	yes	—
92	C₁₁×#464	C₂²	1	2	yes	—
93	C₁₁×#464	C₂²	1	2	yes	—
94	C₁₁×#463	C₂²	1	2	yes	—
95	C₁₁×#463	C₂²	1	2	yes	—
96	C₁₁×#462	C₂²	1	1	yes	characteristic
97	C₁₁×#462	C₂²	1	1	yes	characteristic
98	C₁₁×#462	C₂²	1	2	yes	—
99	C₁₁×#462	C₂²	1	1	yes	characteristic
100	C₁₁×#462	C₂²	1	1	yes	characteristic
101	C₁₁×#461	C₂²	1	1	yes	characteristic
102	C₁₁×#461	C₂²	1	1	yes	characteristic
103	C₁₁×#461	C₂²	1	1	yes	characteristic
104	C₁₁×#461	C₂²	1	1	yes	characteristic
105	C₁₁×#461	C₂²	1	2	yes	—
106	C₁₁×#460	C₂²	1	1	yes	characteristic
107	C₁₁×#460	C₂²	1	2	yes	—
108	C₁₁×#460	C₂²	1	1	yes	characteristic
109	C₁₁×#459	C₂²	1	1	yes	characteristic
110	C₁₁×#459	C₂²	1	1	yes	characteristic
111	C₁₁×#452	C₂²	1	2	yes	—
112	C₁₁×#452	C₂²	1	2	yes	—
113	C₁₁×#451	C₂²	1	2	yes	—
114	C₁₁×#451	C₂²	1	2	yes	—
115	C₁₁×#449	C₂²	1	2	yes	—
116	C₁₁×#449	C₂²	1	2	yes	—
117	C₁₁×#449	C₂²	1	2	yes	—
118	C₁₁×#449	C₂²	1	2	yes	—
119	C₁₁×#448	C₂²	1	2	yes	—
120	C₁₁×#446	C₂²	1	2	yes	—
121	C₁₁×#442	C₂²	1	2	yes	—
122	C₁₁×#441	C₂²	1	2	yes	—
123	C₁₁×#441	C₂²	1	2	yes	—
124	C₁₁×#440	C₂²	1	2	yes	—
125	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
126	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	—
127	C₁₁×#436	C₂²	1	2	yes	—
128	C₁₁×#435	C₂²	1	2	yes	—
129	C₁₁×#435	C₂²	1	2	yes	—
130	C₁₁×#432	C₂²	1	1	yes	characteristic
131	C₁₁×#432	C₂²	1	1	yes	characteristic
132	C₁₁×#431	C₂²	1	1	yes	characteristic
133	C₁₁×#423	C₂²	1	1	yes	characteristic
134	C₁₁×#423	C₂²	1	1	yes	characteristic
135	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
136	C₁₁×#419	C₂²	1	2	yes	—
137	C₁₁×#417	C₂²	1	2	yes	—
138	C₁₁×#416	C₂²	1	2	yes	—
139	C₂×C₁₁×#41	—	2	1	no	—
140	C₂×C₁₁×#41	—	2	1	no	—
141	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
142	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
143	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
144	C₂×C₁₁×#41	C₂³	1	2	yes	—
145	C₂×C₁₁×#41	C₂³	1	2	yes	—
146	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
147	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
148	C₁₁×#137	—	4	4	no	—
149	C₁₁×#137	—	4	4	no	—
150	C₁₁×#135	—	4	4	no	—
151	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
152	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
153	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
154	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
155	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
156	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
157	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
158	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
159	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
160	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
161	C₂×C₁₁×D₈	C₂³	1	2	yes	—
162	C₂×C₁₁×D₈	C₂³	1	2	yes	—
163	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
164	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
165	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
166	C₁₁×C₄⋊Q₈	—	2	1	no	—
167	C₁₁×C₄⋊Q₈	—	2	1	no	—
168	C₁₁×C₄⋊Q₈	—	2	1	no	—
169	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
170	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
171	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
172	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
173	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
174	C₁₁×#127	—	2	1	no	—
175	C₁₁×#127	C₂³	1	1	yes	characteristic
176	C₁₁×#127	C₂³	1	1	yes	characteristic
177	C₁₁×#126	—	2	1	no	—
178	C₁₁×#126	—	2	1	no	—
179	C₁₁×#126	—	2	2	no	—
180	C₁₁×#126	—	2	2	no	—
181	C₁₁×#126	—	2	1	no	—
182	C₁₁×#126	—	2	1	no	—
183	C₁₁×#126	—	2	1	no	—
184	C₁₁×#126	—	2	1	no	—
185	C₁₁×#125	—	2	1	no	—
186	C₁₁×#125	—	2	1	no	—
187	C₁₁×#125	—	2	1	no	—
188	C₁₁×#125	—	2	1	no	—
189	C₁₁×#125	C₂³	1	1	yes	characteristic
190	C₁₁×#125	C₂³	1	1	yes	characteristic
191	C₁₁×#124	—	2	1	no	—
192	C₁₁×#124	—	2	1	no	—
193	C₁₁×#124	—	2	1	no	—
194	C₁₁×#124	—	2	1	no	—
195	C₁₁×#124	—	2	2	no	—
196	C₁₁×#124	—	2	2	no	—
197	C₁₁×#124	—	2	1	no	—
198	C₁₁×#124	—	2	1	no	—
199	C₁₁×#124	C₂³	1	2	yes	—
200	C₁₁×#124	C₂³	1	1	yes	characteristic
201	C₁₁×#124	C₂³	1	2	yes	—
202	C₁₁×#124	C₂³	1	1	yes	characteristic
203	C₁₁×#123	—	2	1	no	—
204	C₁₁×#123	—	2	1	no	—
205	C₁₁×#123	—	2	1	no	—
206	C₁₁×#123	—	2	1	no	—
207	C₁₁×#123	—	2	1	no	—
208	C₁₁×#123	—	2	1	no	—
209	C₁₁×#123	—	2	2	no	—
210	C₁₁×#123	—	2	2	no	—
211	C₁₁×C₂²⋊Q₈	—	2	2	no	—
212	C₁₁×C₂²⋊Q₈	—	2	1	no	—
213	C₁₁×C₂²⋊Q₈	—	2	1	no	—
214	C₁₁×C₂²⋊Q₈	—	2	1	no	—
215	C₁₁×C₂²⋊Q₈	—	2	1	no	—
216	C₁₁×C₂²⋊Q₈	—	2	2	no	—
217	C₁₁×C₂²⋊Q₈	—	2	2	no	—
218	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
219	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
220	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
221	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
222	C₁₁×#121	—	2	1	no	—
223	C₁₁×#121	—	2	1	no	—
224	C₁₁×#121	—	2	1	no	—
225	C₁₁×#121	—	2	1	no	—
226	C₁₁×#121	—	2	2	no	—
227	C₁₁×#121	—	2	2	no	—
228	C₁₁×#121	—	2	2	no	—
229	C₁₁×#121	—	2	1	no	—
230	C₁₁×#121	—	2	1	no	—
231	C₁₁×#121	—	2	1	no	—
232	C₁₁×#121	—	2	1	no	—
233	C₁₁×#121	—	2	1	no	—
234	C₁₁×#121	—	2	1	no	—
235	C₁₁×#121	—	2	1	no	—
236	C₁₁×#121	—	2	1	no	—
237	C₁₁×#121	C₂³	1	1	yes	characteristic
238	C₁₁×#121	C₂³	1	1	yes	characteristic
239	C₁₁×#121	C₂³	1	2	yes	—
240	C₁₁×#121	C₂³	1	1	yes	characteristic
241	C₁₁×#121	C₂³	1	1	yes	characteristic
242	C₄×Q₈×C₁₁	—	2	1	no	—
243	C₄×Q₈×C₁₁	—	2	1	no	—
244	C₄×Q₈×C₁₁	—	2	1	no	—
245	C₄×Q₈×C₁₁	—	2	1	no	—
246	C₄×Q₈×C₁₁	—	2	1	no	—
247	C₄×Q₈×C₁₁	—	2	1	no	—
248	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
249	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
250	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
251	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
252	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
253	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
254	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
255	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
256	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
257	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
258	C₄×D₄×C₁₁	—	2	1	no	—
259	C₄×D₄×C₁₁	—	2	1	no	—
260	C₄×D₄×C₁₁	—	2	1	no	—
261	C₄×D₄×C₁₁	—	2	1	no	—
262	C₄×D₄×C₁₁	—	2	1	no	—
263	C₄×D₄×C₁₁	—	2	1	no	—
264	C₄×D₄×C₁₁	—	2	1	no	—
265	C₄×D₄×C₁₁	—	2	1	no	—
266	C₄×D₄×C₁₁	—	2	1	no	—
267	C₄×D₄×C₁₁	—	2	1	no	—
268	C₄×D₄×C₁₁	—	2	1	no	—
269	C₄×D₄×C₁₁	—	2	1	no	—
270	C₄×D₄×C₁₁	—	2	2	no	—
271	C₄×D₄×C₁₁	—	2	2	no	—
272	C₄×D₄×C₁₁	—	2	1	no	—
273	C₄×D₄×C₁₁	—	2	1	no	—
274	C₄×D₄×C₁₁	—	2	1	no	—
275	C₄×D₄×C₁₁	—	2	1	no	—
276	C₄×D₄×C₁₁	—	2	1	no	—
277	C₄×D₄×C₁₁	—	2	1	no	—
278	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
279	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
280	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
281	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
282	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
283	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
284	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
285	C₄×D₄×C₁₁	C₂³	1	2	yes	—
286	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
288	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
289	C₁₁×#117	—	2	1	no	—
290	C₁₁×#117	—	2	1	no	—
291	C₁₁×#117	—	2	2	no	—
292	C₁₁×#117	—	2	1	no	—
293	C₁₁×#117	—	2	1	no	—
294	C₁₁×#117	—	2	1	no	—
295	C₁₁×#117	—	2	1	no	—
296	C₁₁×#117	D₄	1	1	yes	characteristic
297	C₁₁×#117	D₄	1	1	yes	characteristic
298	C₁₁×#117	D₄	1	1	yes	characteristic
299	C₁₁×#117	C₂³	1	1	yes	characteristic
300	C₁₁×#117	C₂³	1	1	yes	characteristic
301	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
302	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
303	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
304	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
305	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×C₄²×C₁₁	—	2	1	no	—
307	C₂×C₄²×C₁₁	—	2	1	no	—
308	C₂×C₄²×C₁₁	—	2	1	no	—
309	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
312	C₁₁×#107	C₂³	1	2	yes	—
313	C₁₁×#107	C₂³	1	2	yes	—
314	C₁₁×#106	C₂³	1	2	yes	—
315	C₁₁×#106	C₂³	1	2	yes	—
316	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
317	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
318	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
319	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
320	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
321	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
322	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
323	C₁₁×#103	C₂³	1	2	yes	—
324	C₁₁×#103	C₂³	1	2	yes	—
325	C₁₁×#103	C₂³	1	2	yes	—
326	C₁₁×#103	C₂³	1	2	yes	—
327	C₁₁×#103	C₂³	1	2	yes	—
328	C₁₁×#103	C₂³	1	2	yes	—
329	C₁₁×#103	C₂³	1	2	yes	—
330	C₁₁×#103	C₂³	1	2	yes	—
331	C₁₁×#103	C₂³	1	2	yes	—
332	C₁₁×#103	C₂³	1	2	yes	—
333	C₁₁×#102	C₂³	1	2	yes	—
334	C₁₁×#102	C₂³	1	2	yes	—
335	C₁₁×#102	C₂³	1	2	yes	—
336	C₁₁×#102	C₂³	1	2	yes	—
337	C₁₁×#102	C₂³	1	2	yes	—
338	C₁₁×#102	C₂³	1	2	yes	—
339	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
340	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
341	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
342	C₁₁×#97	C₂³	1	2	yes	—
343	C₁₁×#97	C₂³	1	2	yes	—
344	C₄×C₈×C₁₁	C₂³	1	2	yes	—
345	#61969	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
346	C₁₁×#41	—	2	2	no	—
347	C₁₁×#41	—	2	2	no	—
348	C₁₁×#41	—	4	2	no	—
349	C₁₁×#41	—	4	1	no	—
350	C₁₁×#41	—	4	1	no	—
351	C₁₁×#41	—	4	4	no	—
352	C₁₁×#41	—	4	4	no	—
353	C₁₁×#41	—	4	2	no	—
354	C₁₁×#41	—	4	2	no	—
355	C₁₁×#41	—	4	2	no	—
356	C₁₁×#41	—	4	2	no	—
357	C₂×Q₈×C₁₁	—	2	1	no	—
358	C₂×Q₈×C₁₁	—	2	1	no	—
359	C₂×Q₈×C₁₁	—	2	1	no	—
360	C₂×Q₈×C₁₁	—	2	2	no	—
361	C₂×Q₈×C₁₁	—	2	2	no	—
362	C₂×Q₈×C₁₁	—	4	1	no	—
363	C₂×Q₈×C₁₁	—	4	2	no	—
364	C₂×Q₈×C₁₁	—	4	2	no	—
365	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
366	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
367	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
368	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
369	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
370	C₂×D₄×C₁₁	—	2	1	no	—
371	C₂×D₄×C₁₁	—	2	1	no	—
372	C₂×D₄×C₁₁	—	2	2	no	—
373	C₂×D₄×C₁₁	—	2	1	no	—
374	C₂×D₄×C₁₁	—	2	1	no	—
375	C₂×D₄×C₁₁	—	2	1	no	—
376	C₂×D₄×C₁₁	—	2	1	no	—
377	C₂×D₄×C₁₁	—	2	2	no	—
378	C₂×D₄×C₁₁	—	2	2	no	—
379	C₂×D₄×C₁₁	—	2	1	no	—
380	C₂×D₄×C₁₁	—	2	1	no	—
381	C₂×D₄×C₁₁	—	2	1	no	—
382	C₂×D₄×C₁₁	—	2	1	no	—
383	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
384	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
385	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
386	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
387	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
389	C₂²×C₄×C₁₁	—	2	1	no	—
390	C₂²×C₄×C₁₁	—	2	1	no	—
391	C₂²×C₄×C₁₁	—	2	2	no	—
392	C₂²×C₄×C₁₁	—	2	1	no	—
393	C₂²×C₄×C₁₁	—	2	1	no	—
394	C₂²×C₄×C₁₁	—	2	1	no	—
395	C₂²×C₄×C₁₁	—	2	1	no	—
396	C₂²×C₄×C₁₁	—	2	2	no	—
397	C₂²×C₄×C₁₁	—	2	1	no	—
398	C₂²×C₄×C₁₁	—	2	1	no	—
399	C₂²×C₄×C₁₁	—	2	2	no	—
400	C₂²×C₄×C₁₁	—	2	2	no	—
401	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
402	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
403	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
404	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
405	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
406	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
407	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
410	C₁₁×Q₁₆	—	2	4	no	—
411	C₁₁×Q₁₆	—	2	4	no	—
412	C₁₁×Q₁₆	—	4	2	no	—
413	C₁₁×Q₁₆	—	4	2	no	—
414	C₁₁×SD₁₆	—	2	4	no	—
415	C₁₁×SD₁₆	—	4	2	no	—
416	C₁₁×SD₁₆	—	4	2	no	—
417	C₁₁×SD₁₆	—	4	2	no	—
418	C₁₁×SD₁₆	—	4	2	no	—
419	C₁₁×SD₁₆	—	4	2	no	—
420	C₁₁×D₈	—	4	2	no	—
421	C₁₁×D₈	—	4	2	no	—
422	C₁₁×M₁₆	—	4	2	no	—
423	C₁₁×M₁₆	—	4	2	no	—
424	C₂×C₈×C₁₁	—	4	2	no	—
425	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
426	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
427	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
428	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
429	C₁₁×C₄⋊C₄	—	2	2	no	—
430	C₁₁×C₄⋊C₄	—	2	1	no	—
431	C₁₁×C₄⋊C₄	—	2	1	no	—
432	C₁₁×C₄⋊C₄	—	2	1	no	—
433	C₁₁×C₄⋊C₄	—	2	1	no	—
434	C₁₁×C₄⋊C₄	—	2	1	no	—
435	C₁₁×C₄⋊C₄	—	2	2	no	—
436	C₁₁×C₄⋊C₄	—	2	2	no	—
437	C₁₁×C₄⋊C₄	—	2	1	no	—
438	C₁₁×C₄⋊C₄	—	2	1	no	—
439	C₁₁×C₄⋊C₄	—	2	1	no	—
440	C₁₁×C₄⋊C₄	—	2	2	no	—
441	C₁₁×C₄⋊C₄	—	2	1	no	—
442	C₁₁×C₄⋊C₄	—	2	1	no	—
443	C₁₁×C₄⋊C₄	—	2	1	no	—
444	C₁₁×C₄⋊C₄	—	2	1	no	—
445	C₁₁×C₄⋊C₄	—	2	1	no	—
446	C₁₁×C₄⋊C₄	—	2	1	no	—
447	C₁₁×C₄⋊C₄	—	2	1	no	—
448	C₁₁×C₄⋊C₄	—	2	1	no	—
449	C₁₁×C₄⋊C₄	—	2	1	no	—
450	C₁₁×C₄⋊C₄	—	2	1	no	—
451	C₁₁×C₄⋊C₄	—	2	1	no	—
452	C₁₁×C₄⋊C₄	—	2	2	no	—
453	C₁₁×C₄⋊C₄	—	2	2	no	—
454	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
455	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
456	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
457	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
458	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
459	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
460	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
461	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
462	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
463	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
464	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
465	C₁₁×C₂²⋊C₄	—	2	2	no	—
466	C₁₁×C₂²⋊C₄	—	2	2	no	—
467	C₁₁×C₂²⋊C₄	—	2	1	no	—
468	C₁₁×C₂²⋊C₄	—	2	1	no	—
469	C₁₁×C₂²⋊C₄	—	2	1	no	—
470	C₁₁×C₂²⋊C₄	—	2	1	no	—
471	C₁₁×C₂²⋊C₄	—	2	1	no	—
472	C₁₁×C₂²⋊C₄	—	2	1	no	—
473	C₁₁×C₂²⋊C₄	—	2	2	no	—
474	C₁₁×C₂²⋊C₄	—	2	2	no	—
475	C₁₁×C₂²⋊C₄	—	2	1	no	—
476	C₁₁×C₂²⋊C₄	—	2	1	no	—
477	C₁₁×C₂²⋊C₄	—	2	1	no	—
478	C₁₁×C₂²⋊C₄	—	2	1	no	—
479	C₁₁×C₂²⋊C₄	—	2	1	no	—
480	C₁₁×C₂²⋊C₄	—	2	1	no	—
481	C₁₁×C₂²⋊C₄	—	2	2	no	—
482	C₁₁×C₂²⋊C₄	—	2	2	no	—
483	C₁₁×C₂²⋊C₄	—	2	1	no	—
484	C₁₁×C₂²⋊C₄	—	2	1	no	—
485	C₁₁×C₂²⋊C₄	—	2	2	no	—
486	C₁₁×C₂²⋊C₄	—	2	1	no	—
487	C₁₁×C₂²⋊C₄	—	2	1	no	—
488	C₁₁×C₂²⋊C₄	—	2	2	no	—
489	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
490	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
491	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
492	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
493	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
494	C₁₁×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
495	C₄²×C₁₁	—	2	1	no	—
496	C₄²×C₁₁	—	2	1	no	—
497	C₄²×C₁₁	—	2	1	no	—
498	C₄²×C₁₁	—	2	1	no	—
499	C₄²×C₁₁	—	2	1	no	—
500	C₄²×C₁₁	—	2	1	no	—
501	C₄²×C₁₁	—	2	1	no	—
502	C₄²×C₁₁	—	2	1	no	—
503	C₄²×C₁₁	—	2	2	no	—
504	C₄²×C₁₁	—	2	2	no	—
505	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
506	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
507	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
508	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
512	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
513	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
514	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
515	#3511	C₂×C₁₁	1	1	yes	characteristic, complemented
516	#3480	C₂×C₁₁	1	1	yes	characteristic, complemented
517	#3401	C₂×C₁₁	1	2	yes	complemented
518	#3377	C₂×C₁₁	1	2	yes	complemented
519	#3326	C₂×C₁₁	1	2	yes	complemented
520	#3313	C₂×C₁₁	1	2	yes	complemented
521	#3307	C₂×C₁₁	1	2	yes	complemented
522	#3277	C₂×C₁₁	1	2	yes	complemented
523	#3271	C₂×C₁₁	1	2	yes	complemented
524	#3269	C₂×C₁₁	1	2	yes	complemented
525	#3254	C₂×C₁₁	1	1	yes	characteristic, complemented
526	#3251	C₂×C₁₁	1	1	yes	characteristic, complemented
527	#3248	C₂×C₁₁	1	1	yes	characteristic, complemented
528	#3218	C₂×C₁₁	1	1	yes	characteristic, complemented
529	#3214	C₂×C₁₁	1	1	yes	characteristic, complemented
530	#3212	C₂×C₁₁	1	1	yes	characteristic, complemented
531	#3115	C₂×C₁₁	1	1	yes	characteristic, complemented
532	#3113	C₂×C₁₁	1	1	yes	characteristic, complemented
533	#3107	C₂×C₁₁	1	1	yes	characteristic, complemented
534	#3039	C₂×C₁₁	1	1	yes	characteristic, complemented
535	#3037	C₂×C₁₁	1	1	yes	characteristic, complemented
536	#3035	C₂×C₁₁	1	1	yes	characteristic, complemented
537	#2989	C₂×C₁₁	1	1	yes	characteristic, complemented
538	C₂³×C₁₁	—	2	1	no	—
539	C₂³×C₁₁	—	2	1	no	—
540	C₂³×C₁₁	—	2	2	no	—
541	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
542	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
543	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
544	Q₈×C₁₁	—	2	1	no	—
545	Q₈×C₁₁	—	2	2	no	—
546	Q₈×C₁₁	—	2	1	no	—
547	Q₈×C₁₁	—	2	2	no	—
548	Q₈×C₁₁	—	2	2	no	—
549	Q₈×C₁₁	—	2	1	no	—
550	Q₈×C₁₁	—	2	2	no	—
551	Q₈×C₁₁	—	4	1	no	—
552	Q₈×C₁₁	—	4	2	no	—
553	Q₈×C₁₁	—	4	2	no	—
554	Q₈×C₁₁	—	4	2	no	—
555	Q₈×C₁₁	—	8	2	no	—
556	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
557	D₄×C₁₁	—	2	1	no	—
558	D₄×C₁₁	—	2	2	no	—
559	D₄×C₁₁	—	2	1	no	—
560	D₄×C₁₁	—	2	1	no	—
561	D₄×C₁₁	—	2	2	no	—
562	D₄×C₁₁	—	2	1	no	—
563	D₄×C₁₁	—	4	1	no	—
564	D₄×C₁₁	—	4	1	no	—
565	D₄×C₁₁	—	4	1	no	—
566	D₄×C₁₁	—	4	2	no	—
567	D₄×C₁₁	—	4	2	no	—
568	D₄×C₁₁	—	4	2	no	—
569	D₄×C₁₁	—	4	2	no	—
570	D₄×C₁₁	—	4	4	no	—
571	D₄×C₁₁	—	4	2	no	—
572	D₄×C₁₁	—	4	2	no	—
573	D₄×C₁₁	—	4	2	no	—
574	D₄×C₁₁	—	8	1	no	—
575	D₄×C₁₁	—	8	1	no	—
576	D₄×C₁₁	—	8	1	no	—
577	D₄×C₁₁	—	8	2	no	—
578	D₄×C₁₁	—	8	2	no	—
579	C₂×C₄×C₁₁	—	2	1	no	—
580	C₂×C₄×C₁₁	—	2	2	no	—
581	C₂×C₄×C₁₁	—	2	2	no	—
582	C₂×C₄×C₁₁	—	2	2	no	—
583	C₂×C₄×C₁₁	—	2	1	no	—
584	C₂×C₄×C₁₁	—	2	1	no	—
585	C₂×C₄×C₁₁	—	2	1	no	—
586	C₂×C₄×C₁₁	—	2	1	no	—
587	C₂×C₄×C₁₁	—	2	1	no	—
588	C₂×C₄×C₁₁	—	2	1	no	—
589	C₂×C₄×C₁₁	—	2	1	no	—
590	C₂×C₄×C₁₁	—	2	1	no	—
591	C₂×C₄×C₁₁	—	2	1	no	—
592	C₂×C₄×C₁₁	—	2	1	no	—
593	C₂×C₄×C₁₁	—	2	2	no	—
594	C₂×C₄×C₁₁	—	2	1	no	—
595	C₂×C₄×C₁₁	—	2	2	no	—
596	C₂×C₄×C₁₁	—	2	2	no	—
597	C₂×C₄×C₁₁	—	4	1	no	—
598	C₂×C₄×C₁₁	—	4	1	no	—
599	C₂×C₄×C₁₁	—	4	1	no	—
600	C₂×C₄×C₁₁	—	4	2	no	—
601	C₂×C₄×C₁₁	—	4	2	no	—
602	C₂×C₄×C₁₁	—	4	2	no	—
603	C₂×C₄×C₁₁	—	4	4	no	—
604	C₂×C₄×C₁₁	—	4	2	no	—
605	C₂×C₄×C₁₁	—	4	2	no	—
606	C₂×C₄×C₁₁	—	8	1	no	—
607	C₂×C₄×C₁₁	—	8	1	no	—
608	C₂×C₄×C₁₁	—	8	2	no	—
609	C₂×C₄×C₁₁	—	8	2	no	—
610	C₂×C₄×C₁₁	—	8	1	no	—
611	C₂×C₄×C₁₁	—	8	2	no	—
612	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
613	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
614	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
615	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
616	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
617	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
618	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
619	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
620	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
621	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
622	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
623	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
624	C₈×C₁₁	—	2	2	no	—
625	C₈×C₁₁	—	2	2	no	—
626	C₈×C₁₁	—	2	2	no	—
627	C₈×C₁₁	—	2	2	no	—
628	C₂×#137	C₂²×C₁₁	1	2	yes	—
629	C₂×#137	C₂²×C₁₁	1	2	yes	—
630	C₂×#135	C₂²×C₁₁	1	2	yes	—
631	#559	—	2	1	no	—
632	#559	C₂²×C₁₁	1	1	yes	characteristic
633	#557	C₂²×C₁₁	1	1	yes	characteristic
634	#556	—	2	1	no	—
635	#556	C₂²×C₁₁	1	2	yes	—
636	#556	C₂²×C₁₁	1	1	yes	characteristic
637	#555	—	2	1	no	—
638	#554	—	2	1	no	—
639	#553	—	2	1	no	—
640	#553	—	2	1	no	—
641	#553	—	2	1	no	—
642	#553	—	2	1	no	—
643	#553	C₂²×C₁₁	1	1	yes	characteristic
644	#553	C₂²×C₁₁	1	1	yes	characteristic
645	#550	C₂²×C₁₁	1	1	yes	characteristic
646	#548	C₂²×C₁₁	1	1	yes	characteristic
647	#548	C₂²×C₁₁	1	1	yes	characteristic
648	#548	C₂²×C₁₁	1	2	yes	—
649	#548	C₂²×C₁₁	1	2	yes	—
650	#547	C₂²×C₁₁	1	2	yes	—
651	#542	—	2	1	no	—
652	#542	—	2	1	no	—
653	#537	—	2	1	no	—
654	#533	C₂²×C₁₁	1	1	yes	characteristic
655	#533	C₂²×C₁₁	1	1	yes	characteristic
656	#532	—	2	1	no	—
657	#532	C₂²×C₁₁	1	1	yes	characteristic
658	#532	C₂²×C₁₁	1	1	yes	characteristic
659	#532	C₂²×C₁₁	1	1	yes	characteristic
660	#532	C₂²×C₁₁	1	1	yes	characteristic
661	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
662	#529	—	2	1	no	—
663	#529	—	2	1	no	—
664	#529	C₂²×C₁₁	1	1	yes	characteristic
665	#529	C₂²×C₁₁	1	1	yes	characteristic
666	#520	—	2	1	no	—
667	C₄×#41	—	2	1	no	—
668	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
669	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
670	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
671	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
672	#497	C₂²×C₁₁	1	2	yes	—
673	#496	C₂²×C₁₁	1	2	yes	—
674	#495	C₂²×C₁₁	1	2	yes	—
675	#491	C₂²×C₁₁	1	2	yes	—
676	#489	C₂²×C₁₁	1	2	yes	—
677	#488	C₂²×C₁₁	1	2	yes	—
678	#485	C₂²×C₁₁	1	2	yes	—
679	#483	C₂²×C₁₁	1	2	yes	—
680	#482	C₂²×C₁₁	1	2	yes	—
681	#479	C₂²×C₁₁	1	2	yes	—
682	#478	C₂²×C₁₁	1	2	yes	—
683	#477	C₂²×C₁₁	1	2	yes	—
684	#475	C₂²×C₁₁	1	1	yes	characteristic
685	#475	C₂²×C₁₁	1	1	yes	characteristic
686	#474	C₂²×C₁₁	1	1	yes	characteristic
687	#474	C₂²×C₁₁	1	1	yes	characteristic
688	#469	C₂²×C₁₁	1	2	yes	—
689	#468	C₂²×C₁₁	1	2	yes	—
690	#468	C₂²×C₁₁	1	2	yes	—
691	#468	C₂²×C₁₁	1	2	yes	—
692	#467	C₂²×C₁₁	1	2	yes	—
693	#465	C₂²×C₁₁	1	2	yes	—
694	#464	C₂²×C₁₁	1	2	yes	—
695	#464	C₂²×C₁₁	1	2	yes	—
696	#464	C₂²×C₁₁	1	2	yes	—
697	#464	C₂²×C₁₁	1	2	yes	—
698	#463	C₂²×C₁₁	1	2	yes	—
699	#463	C₂²×C₁₁	1	2	yes	—
700	#462	C₂²×C₁₁	1	1	yes	characteristic
701	#462	C₂²×C₁₁	1	1	yes	characteristic
702	#462	C₂²×C₁₁	1	1	yes	characteristic
703	#462	C₂²×C₁₁	1	2	yes	—
704	#462	C₂²×C₁₁	1	1	yes	characteristic
705	#461	C₂²×C₁₁	1	1	yes	characteristic
706	#461	C₂²×C₁₁	1	2	yes	—
707	#461	C₂²×C₁₁	1	1	yes	characteristic
708	#461	C₂²×C₁₁	1	1	yes	characteristic
709	#461	C₂²×C₁₁	1	1	yes	characteristic
710	#460	C₂²×C₁₁	1	1	yes	characteristic
711	#460	C₂²×C₁₁	1	2	yes	—
712	#460	C₂²×C₁₁	1	1	yes	characteristic
713	#459	C₂²×C₁₁	1	1	yes	characteristic
714	#459	C₂²×C₁₁	1	1	yes	characteristic
715	#452	C₂²×C₁₁	1	2	yes	—
716	#452	C₂²×C₁₁	1	2	yes	—
717	#451	C₂²×C₁₁	1	2	yes	—
718	#451	C₂²×C₁₁	1	2	yes	—
719	#449	C₂²×C₁₁	1	2	yes	—
720	#449	C₂²×C₁₁	1	2	yes	—
721	#449	C₂²×C₁₁	1	2	yes	—
722	#449	C₂²×C₁₁	1	2	yes	—
723	#448	C₂²×C₁₁	1	2	yes	—
724	#446	C₂²×C₁₁	1	2	yes	—
725	#442	C₂²×C₁₁	1	2	yes	—
726	#441	C₂²×C₁₁	1	2	yes	—
727	#441	C₂²×C₁₁	1	2	yes	—
728	#440	C₂²×C₁₁	1	2	yes	—
729	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
730	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	—
731	#436	C₂²×C₁₁	1	2	yes	—
732	#435	C₂²×C₁₁	1	2	yes	—
733	#435	C₂²×C₁₁	1	2	yes	—
734	#432	C₂²×C₁₁	1	1	yes	characteristic
735	#432	C₂²×C₁₁	1	1	yes	characteristic
736	#431	C₂²×C₁₁	1	1	yes	characteristic
737	#423	C₂²×C₁₁	1	1	yes	characteristic
738	#423	C₂²×C₁₁	1	1	yes	characteristic
739	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
740	#419	C₂²×C₁₁	1	2	yes	—
741	#417	C₂²×C₁₁	1	2	yes	—
742	#416	C₂²×C₁₁	1	2	yes	—
743	C₂²×C₁₁	—	2	1	no	—
744	C₂²×C₁₁	—	2	1	no	—
745	C₂²×C₁₁	—	2	1	no	—
746	C₂²×C₁₁	—	2	1	no	—
747	C₂²×C₁₁	—	2	1	no	—
748	C₂²×C₁₁	—	2	1	no	—
749	C₂²×C₁₁	—	2	1	no	—
750	C₂²×C₁₁	—	2	1	no	—
751	C₂²×C₁₁	—	2	1	no	—
752	C₂²×C₁₁	—	4	1	no	—
753	C₂²×C₁₁	—	4	1	no	—
754	C₂²×C₁₁	—	4	2	no	—
755	C₂²×C₁₁	—	4	1	no	—
756	C₂²×C₁₁	—	4	1	no	—
757	C₂²×C₁₁	—	4	2	no	—
758	C₂²×C₁₁	—	4	2	no	—
759	C₂²×C₁₁	—	4	1	no	—
760	C₂²×C₁₁	—	4	1	no	—
761	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
762	C₄×C₁₁	—	2	1	no	—
763	C₄×C₁₁	—	2	1	no	—
764	C₄×C₁₁	—	2	1	no	—
765	C₄×C₁₁	—	2	1	no	—
766	C₄×C₁₁	—	2	1	no	—
767	C₄×C₁₁	—	2	1	no	—
768	C₄×C₁₁	—	2	1	no	—
769	C₄×C₁₁	—	2	2	no	—
770	C₄×C₁₁	—	2	1	no	—
771	C₄×C₁₁	—	2	1	no	—
772	C₄×C₁₁	—	2	1	no	—
773	C₄×C₁₁	—	4	1	no	—
774	C₄×C₁₁	—	4	1	no	—
775	C₄×C₁₁	—	4	1	no	—
776	C₄×C₁₁	—	4	2	no	—
777	C₄×C₁₁	—	4	2	no	—
778	C₄×C₁₁	—	4	2	no	—
779	C₄×C₁₁	—	4	1	no	—
780	C₄×C₁₁	—	4	1	no	—
781	C₄×C₁₁	#575	1	2	yes	—
782	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
783	C₄×C₁₁	#585	1	1	yes	characteristic
784	C₂×#41	—	2	1	no	—
785	C₂×#41	—	2	1	no	—
786	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
787	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
788	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
789	C₂×#41	C₂³×C₁₁	1	2	yes	—
790	C₂×#41	C₂³×C₁₁	1	2	yes	—
791	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
792	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
793	#137	—	4	4	no	—
794	#137	—	4	4	no	—
795	#135	—	4	4	no	—
796	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
797	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
798	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
799	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
800	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
801	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
802	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
803	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
804	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
805	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
806	C₂×D₈	C₂³×C₁₁	1	2	yes	—
807	C₂×D₈	C₂³×C₁₁	1	2	yes	—
808	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
809	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
810	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
811	C₄⋊Q₈	—	2	1	no	—
812	C₄⋊Q₈	—	2	1	no	—
813	C₄⋊Q₈	—	2	1	no	—
814	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
815	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
816	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
817	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
818	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
819	#127	—	2	1	no	—
820	#127	C₂³×C₁₁	1	1	yes	characteristic
821	#127	C₂³×C₁₁	1	1	yes	characteristic
822	#126	—	2	1	no	—
823	#126	—	2	1	no	—
824	#126	—	2	2	no	—
825	#126	—	2	2	no	—
826	#126	—	2	1	no	—
827	#126	—	2	1	no	—
828	#126	—	2	1	no	—
829	#126	—	2	1	no	—
830	#125	—	2	1	no	—
831	#125	—	2	1	no	—
832	#125	—	2	1	no	—
833	#125	—	2	1	no	—
834	#125	C₂³×C₁₁	1	1	yes	characteristic
835	#125	C₂³×C₁₁	1	1	yes	characteristic
836	#124	—	2	1	no	—
837	#124	—	2	1	no	—
838	#124	—	2	1	no	—
839	#124	—	2	1	no	—
840	#124	—	2	2	no	—
841	#124	—	2	2	no	—
842	#124	—	2	1	no	—
843	#124	—	2	1	no	—
844	#124	C₂³×C₁₁	1	1	yes	characteristic
845	#124	C₂³×C₁₁	1	1	yes	characteristic
846	#124	C₂³×C₁₁	1	2	yes	—
847	#124	C₂³×C₁₁	1	2	yes	—
848	#123	—	2	1	no	—
849	#123	—	2	1	no	—
850	#123	—	2	1	no	—
851	#123	—	2	1	no	—
852	#123	—	2	1	no	—
853	#123	—	2	1	no	—
854	#123	—	2	2	no	—
855	#123	—	2	2	no	—
856	C₂²⋊Q₈	—	2	2	no	—
857	C₂²⋊Q₈	—	2	1	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	—	2	2	no	—
862	C₂²⋊Q₈	—	2	2	no	—
863	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
865	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
866	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	2	1	no	—
870	#121	—	2	1	no	—
871	#121	—	2	2	no	—
872	#121	—	2	2	no	—
873	#121	—	2	2	no	—
874	#121	—	2	1	no	—
875	#121	—	2	1	no	—
876	#121	—	2	1	no	—
877	#121	—	2	1	no	—
878	#121	—	2	1	no	—
879	#121	—	2	1	no	—
880	#121	—	2	1	no	—
881	#121	—	2	1	no	—
882	#121	C₂³×C₁₁	1	1	yes	characteristic
883	#121	C₂³×C₁₁	1	1	yes	characteristic
884	#121	C₂³×C₁₁	1	2	yes	—
885	#121	C₂³×C₁₁	1	1	yes	characteristic
886	#121	C₂³×C₁₁	1	1	yes	characteristic
887	C₄×Q₈	—	2	1	no	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	1	no	—
890	C₄×Q₈	—	2	1	no	—
891	C₄×Q₈	—	2	1	no	—
892	C₄×Q₈	—	2	1	no	—
893	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
894	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
895	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
896	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
897	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
898	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
899	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
900	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
901	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
902	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	—	2	1	no	—
907	C₄×D₄	—	2	1	no	—
908	C₄×D₄	—	2	1	no	—
909	C₄×D₄	—	2	1	no	—
910	C₄×D₄	—	2	1	no	—
911	C₄×D₄	—	2	1	no	—
912	C₄×D₄	—	2	1	no	—
913	C₄×D₄	—	2	1	no	—
914	C₄×D₄	—	2	1	no	—
915	C₄×D₄	—	2	2	no	—
916	C₄×D₄	—	2	2	no	—
917	C₄×D₄	—	2	1	no	—
918	C₄×D₄	—	2	1	no	—
919	C₄×D₄	—	2	1	no	—
920	C₄×D₄	—	2	1	no	—
921	C₄×D₄	—	2	1	no	—
922	C₄×D₄	—	2	1	no	—
923	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
924	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
925	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
926	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
927	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
928	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
929	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
930	C₄×D₄	C₂³×C₁₁	1	2	yes	—
931	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
932	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
933	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
934	#117	—	2	1	no	—
935	#117	—	2	1	no	—
936	#117	—	2	2	no	—
937	#117	—	2	1	no	—
938	#117	—	2	1	no	—
939	#117	—	2	1	no	—
940	#117	—	2	1	no	—
941	#117	D₄×C₁₁	1	1	yes	characteristic
942	#117	D₄×C₁₁	1	1	yes	characteristic
943	#117	D₄×C₁₁	1	1	yes	characteristic
944	#117	C₂³×C₁₁	1	1	yes	characteristic
945	#117	C₂³×C₁₁	1	1	yes	characteristic
946	C₂×C₄⋊C₄	—	2	1	no	—
947	C₂×C₄⋊C₄	—	2	1	no	—
948	C₂×C₄⋊C₄	—	2	1	no	—
949	C₂×C₄⋊C₄	—	2	2	no	—
950	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
951	C₂×C₄²	—	2	1	no	—
952	C₂×C₄²	—	2	1	no	—
953	C₂×C₄²	—	2	1	no	—
954	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
955	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
956	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
957	#107	C₂³×C₁₁	1	2	yes	—
958	#107	C₂³×C₁₁	1	2	yes	—
959	#106	C₂³×C₁₁	1	2	yes	—
960	#106	C₂³×C₁₁	1	2	yes	—
961	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
962	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
963	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
964	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
965	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
966	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
967	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
968	#103	C₂³×C₁₁	1	2	yes	—
969	#103	C₂³×C₁₁	1	2	yes	—
970	#103	C₂³×C₁₁	1	2	yes	—
971	#103	C₂³×C₁₁	1	2	yes	—
972	#103	C₂³×C₁₁	1	2	yes	—
973	#103	C₂³×C₁₁	1	2	yes	—
974	#103	C₂³×C₁₁	1	2	yes	—
975	#103	C₂³×C₁₁	1	2	yes	—
976	#103	C₂³×C₁₁	1	2	yes	—
977	#103	C₂³×C₁₁	1	2	yes	—
978	#102	C₂³×C₁₁	1	2	yes	—
979	#102	C₂³×C₁₁	1	2	yes	—
980	#102	C₂³×C₁₁	1	2	yes	—
981	#102	C₂³×C₁₁	1	2	yes	—
982	#102	C₂³×C₁₁	1	2	yes	—
983	#102	C₂³×C₁₁	1	2	yes	—
984	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
985	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
986	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
987	#97	C₂³×C₁₁	1	2	yes	—
988	#97	C₂³×C₁₁	1	2	yes	—
989	C₄×C₈	C₂³×C₁₁	1	2	yes	—
990	C₂×C₁₁	—	4	1	no	—
991	C₂×C₁₁	—	4	1	no	—
992	C₂×C₁₁	—	4	1	no	—
993	C₂×C₁₁	—	8	1	no	—
994	C₂×C₁₁	—	8	1	no	—
995	C₂×C₁₁	—	8	2	no	—
996	C₂×C₁₁	#3488	1	1	yes	characteristic
997	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
998	C₂×C₁₁	#3586	1	1	yes	characteristic
999	#41	—	2	2	no	—
1000	#41	—	2	2	no	—
1001	#41	—	4	2	no	—
1002	#41	—	4	1	no	—
1003	#41	—	4	1	no	—
1004	#41	—	4	4	no	—
1005	#41	—	4	4	no	—
1006	#41	—	4	2	no	—
1007	#41	—	4	2	no	—
1008	#41	—	4	2	no	—
1009	#41	—	4	2	no	—
1010	C₂×Q₈	—	2	1	no	—
1011	C₂×Q₈	—	2	1	no	—
1012	C₂×Q₈	—	2	1	no	—
1013	C₂×Q₈	—	2	2	no	—
1014	C₂×Q₈	—	2	2	no	—
1015	C₂×Q₈	—	4	1	no	—
1016	C₂×Q₈	—	4	2	no	—
1017	C₂×Q₈	—	4	2	no	—
1018	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
1019	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
1020	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
1021	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
1022	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
1023	C₂×D₄	—	2	1	no	—
1024	C₂×D₄	—	2	1	no	—
1025	C₂×D₄	—	2	2	no	—
1026	C₂×D₄	—	2	1	no	—
1027	C₂×D₄	—	2	1	no	—
1028	C₂×D₄	—	2	1	no	—
1029	C₂×D₄	—	2	1	no	—
1030	C₂×D₄	—	2	2	no	—
1031	C₂×D₄	—	2	2	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	1	no	—
1034	C₂×D₄	—	2	1	no	—
1035	C₂×D₄	—	2	1	no	—
1036	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1037	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1038	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1039	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
1040	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
1041	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	2	no	—
1045	C₂²×C₄	—	2	1	no	—
1046	C₂²×C₄	—	2	1	no	—
1047	C₂²×C₄	—	2	1	no	—
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	2	no	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	1	no	—
1052	C₂²×C₄	—	2	2	no	—
1053	C₂²×C₄	—	2	2	no	—
1054	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1055	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1056	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1057	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1058	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1059	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1060	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1061	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1062	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1063	Q₁₆	—	2	4	no	—
1064	Q₁₆	—	2	4	no	—
1065	Q₁₆	—	4	2	no	—
1066	Q₁₆	—	4	2	no	—
1067	SD₁₆	—	2	4	no	—
1068	SD₁₆	—	4	2	no	—
1069	SD₁₆	—	4	2	no	—
1070	SD₁₆	—	4	2	no	—
1071	SD₁₆	—	4	2	no	—
1072	SD₁₆	—	4	2	no	—
1073	D₈	—	4	2	no	—
1074	D₈	—	4	2	no	—
1075	M₁₆	—	4	2	no	—
1076	M₁₆	—	4	2	no	—
1077	C₂×C₈	—	4	2	no	—
1078	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1079	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1080	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1081	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
1082	C₄⋊C₄	—	2	2	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	2	no	—
1089	C₄⋊C₄	—	2	2	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	2	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	2	no	—
1106	C₄⋊C₄	—	2	2	no	—
1107	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1108	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1109	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1113	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1114	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1115	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1116	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
1117	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
1118	C₂²⋊C₄	—	2	2	no	—
1119	C₂²⋊C₄	—	2	2	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	2	no	—
1127	C₂²⋊C₄	—	2	2	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₂²⋊C₄	—	2	1	no	—
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	2	no	—
1135	C₂²⋊C₄	—	2	2	no	—
1136	C₂²⋊C₄	—	2	1	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	—	2	2	no	—
1139	C₂²⋊C₄	—	2	1	no	—
1140	C₂²⋊C₄	—	2	1	no	—
1141	C₂²⋊C₄	—	2	2	no	—
1142	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1143	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1144	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1145	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1146	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1147	C₂²⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
1148	C₄²	—	2	1	no	—
1149	C₄²	—	2	1	no	—
1150	C₄²	—	2	1	no	—
1151	C₄²	—	2	1	no	—
1152	C₄²	—	2	1	no	—
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	2	no	—
1157	C₄²	—	2	2	no	—
1158	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1159	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1160	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1161	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1162	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1163	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
1164	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1165	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1166	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1167	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
1168	C₁₁	#61969	1	1	yes	characteristic, direct product factor, Sylow
1169	C₂³	—	2	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	2	no	—
1172	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1173	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1174	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
1175	Q₈	—	2	1	no	—
1176	Q₈	—	2	2	no	—
1177	Q₈	—	2	1	no	—
1178	Q₈	—	2	2	no	—
1179	Q₈	—	2	2	no	—
1180	Q₈	—	2	1	no	—
1181	Q₈	—	2	2	no	—
1182	Q₈	—	4	1	no	—
1183	Q₈	—	4	2	no	—
1184	Q₈	—	4	2	no	—
1185	Q₈	—	4	2	no	—
1186	Q₈	—	8	2	no	—
1187	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
1188	D₄	—	2	1	no	—
1189	D₄	—	2	2	no	—
1190	D₄	—	2	1	no	—
1191	D₄	—	2	1	no	—
1192	D₄	—	2	2	no	—
1193	D₄	—	2	1	no	—
1194	D₄	—	4	1	no	—
1195	D₄	—	4	1	no	—
1196	D₄	—	4	1	no	—
1197	D₄	—	4	2	no	—
1198	D₄	—	4	2	no	—
1199	D₄	—	4	2	no	—
1200	D₄	—	4	2	no	—
1201	D₄	—	4	4	no	—
1202	D₄	—	4	2	no	—
1203	D₄	—	4	2	no	—
1204	D₄	—	4	2	no	—
1205	D₄	—	8	1	no	—
1206	D₄	—	8	1	no	—
1207	D₄	—	8	1	no	—
1208	D₄	—	8	2	no	—
1209	D₄	—	8	2	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	2	no	—
1212	C₂×C₄	—	2	2	no	—
1213	C₂×C₄	—	2	2	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	4	1	no	—
1229	C₂×C₄	—	4	1	no	—
1230	C₂×C₄	—	4	1	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	—	4	2	no	—
1233	C₂×C₄	—	4	2	no	—
1234	C₂×C₄	—	4	4	no	—
1235	C₂×C₄	—	4	2	no	—
1236	C₂×C₄	—	4	2	no	—
1237	C₂×C₄	—	8	1	no	—
1238	C₂×C₄	—	8	1	no	—
1239	C₂×C₄	—	8	2	no	—
1240	C₂×C₄	—	8	2	no	—
1241	C₂×C₄	—	8	1	no	—
1242	C₂×C₄	—	8	2	no	—
1243	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1244	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1245	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1246	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1247	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1248	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1249	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1250	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1251	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1252	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1253	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
1254	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
1255	C₈	—	2	2	no	—
1256	C₈	—	2	2	no	—
1257	C₈	—	2	2	no	—
1258	C₈	—	2	2	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	4	1	no	—
1269	C₂²	—	4	1	no	—
1270	C₂²	—	4	2	no	—
1271	C₂²	—	4	2	no	—
1272	C₂²	—	4	1	no	—
1273	C₂²	—	4	1	no	—
1274	C₂²	—	4	1	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	2	no	—
1277	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
1278	C₄	—	2	1	no	—
1279	C₄	—	2	1	no	—
1280	C₄	—	2	1	no	—
1281	C₄	—	2	2	no	—
1282	C₄	—	2	1	no	—
1283	C₄	—	2	1	no	—
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	2	no	—
1291	C₄	—	4	2	no	—
1292	C₄	—	4	2	no	—
1293	C₄	—	4	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	C₁₁×#575	1	2	yes	—
1298	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
1299	C₄	C₁₁×#585	1	1	yes	characteristic
1300	C₂	—	4	1	no	—
1301	C₂	—	4	1	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	8	1	no	—
1304	C₂	—	8	1	no	—
1305	C₂	—	8	2	no	—
1306	C₂	C₁₁×#3488	1	1	yes	characteristic
1307	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
1308	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3511	C₂	semidirect
2. C₁₁×#3480	C₂	semidirect
3. C₁₁×#3401	C₂	semidirect
4. C₁₁×#3377	C₂	semidirect
5. C₁₁×#3326	C₂	semidirect
6. C₁₁×#3313	C₂	semidirect
7. C₁₁×#3307	C₂	semidirect
8. C₁₁×#3277	C₂	semidirect
9. C₁₁×#3271	C₂	semidirect
10. C₁₁×#3269	C₂	semidirect
11. C₁₁×#3254	C₂	semidirect
12. C₁₁×#3251	C₂	semidirect
13. C₁₁×#3248	C₂	semidirect
14. C₁₁×#3218	C₂	semidirect
15. C₁₁×#3214	C₂	semidirect
16. C₁₁×#3212	C₂	semidirect
17. C₁₁×#3115	C₂	semidirect
18. C₁₁×#3113	C₂	semidirect
19. C₁₁×#3107	C₂	semidirect
20. C₁₁×#3039	C₂	semidirect
21. C₁₁×#3037	C₂	semidirect
22. C₁₁×#3035	C₂	semidirect
23. C₁₁×#2989	C₂	semidirect
345. #61969	C₁₁	direct (N × H)
515. #3511	C₂×C₁₁	semidirect
516. #3480	C₂×C₁₁	semidirect
517. #3401	C₂×C₁₁	semidirect
518. #3377	C₂×C₁₁	semidirect
519. #3326	C₂×C₁₁	semidirect
520. #3313	C₂×C₁₁	semidirect
521. #3307	C₂×C₁₁	semidirect
522. #3277	C₂×C₁₁	semidirect
523. #3271	C₂×C₁₁	semidirect
524. #3269	C₂×C₁₁	semidirect
525. #3254	C₂×C₁₁	semidirect
526. #3251	C₂×C₁₁	semidirect
527. #3248	C₂×C₁₁	semidirect
528. #3218	C₂×C₁₁	semidirect
529. #3214	C₂×C₁₁	semidirect
530. #3212	C₂×C₁₁	semidirect
531. #3115	C₂×C₁₁	semidirect
532. #3113	C₂×C₁₁	semidirect
533. #3107	C₂×C₁₁	semidirect
534. #3039	C₂×C₁₁	semidirect
535. #3037	C₂×C₁₁	semidirect
536. #3035	C₂×C₁₁	semidirect
537. #2989	C₂×C₁₁	semidirect
1168. C₁₁	#61969	direct (N × H)

Maximal subgroups

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

subgroup	index
C₁₁×#3511	2
C₁₁×#3480	2
C₁₁×#3401	2
C₁₁×#3377	2
C₁₁×#3326	2
C₁₁×#3313	2
C₁₁×#3307	2
C₁₁×#3277	2
C₁₁×#3271	2
C₁₁×#3269	2
C₁₁×#3254	2
C₁₁×#3251	2
C₁₁×#3248	2
C₁₁×#3218	2
C₁₁×#3214	2
C₁₁×#3212	2
C₁₁×#3115	2
C₁₁×#3113	2
C₁₁×#3107	2
C₁₁×#3039	2
C₁₁×#3037	2
C₁₁×#3035	2
C₁₁×#2989	2
#61969	11

Subgroups — C11×#61969 #14639162

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61969 #14639162