Subgroups — C₁₁×#61939 #14639132

Order 2816.

1710 conjugacy classes of subgroups.

The subgroup lattice has 1008 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3555	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3506	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3402	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3401	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3400	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3397	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3377	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3375	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3370	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3368	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3224	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3222	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3219	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3216	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3124	C₂	1	2	yes	maximal, complemented
16	C₁₁×#3120	C₂	1	2	yes	maximal, complemented
17	C₁₁×#3114	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₁×#3110	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₁×#2987	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₁×#563	—	2	2	no	—
21	C₁₁×#559	C₂²	1	2	yes	—
22	C₁₁×#559	C₂²	1	2	yes	—
23	Q₈²×C₁₁	C₂²	1	1	yes	characteristic, complemented
24	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
25	C₁₁×#557	C₂²	1	2	yes	complemented
26	C₁₁×#556	—	2	1	no	—
27	C₁₁×#556	C₂²	1	2	yes	—
28	C₁₁×#556	C₂²	1	2	yes	complemented
29	C₁₁×#556	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#555	—	2	1	no	—
31	C₁₁×#554	C₂²	1	1	yes	characteristic, complemented
32	C₁₁×#553	—	2	2	no	—
33	C₁₁×#552	—	2	1	no	—
34	C₁₁×#550	C₂²	1	2	yes	—
35	C₁₁×#547	—	2	1	no	—
36	C₁₁×#544	—	2	1	no	—
37	C₁₁×#542	C₂²	1	2	yes	—
38	C₁₁×#541	—	2	1	no	—
39	C₁₁×#541	—	2	2	no	—
40	C₁₁×#541	C₂²	1	2	yes	—
41	C₁₁×#538	—	2	1	no	—
42	C₁₁×#538	—	2	1	no	—
43	C₁₁×#535	C₂²	1	2	yes	—
44	C₁₁×#533	C₂²	1	1	yes	characteristic
45	C₁₁×#533	C₂²	1	1	yes	characteristic
46	C₁₁×#532	C₂²	1	1	yes	characteristic
47	C₁₁×#529	C₂²	1	1	yes	characteristic
48	C₁₁×#525	—	2	2	no	—
49	C₁₁×#520	C₂²	1	2	yes	—
50	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
51	C₁₁×#497	C₂²	1	2	yes	—
52	C₁₁×#497	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#497	C₂²	1	2	yes	complemented
54	C₁₁×#496	C₂²	1	2	yes	—
55	C₁₁×#496	C₂²	1	1	yes	characteristic, complemented
56	C₁₁×#495	C₂²	1	2	yes	—
57	C₁₁×#492	C₂²	1	2	yes	—
58	C₁₁×#491	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#490	C₂²	1	2	yes	—
60	C₁₁×#490	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#489	C₂²	1	2	yes	—
62	C₁₁×#489	C₂²	1	2	yes	complemented
63	C₁₁×#488	C₂²	1	2	yes	—
64	C₁₁×#486	C₂²	1	2	yes	—
65	C₁₁×#484	C₂²	1	2	yes	—
66	C₁₁×#483	C₂²	1	1	yes	characteristic
67	C₁₁×#480	C₂²	1	1	yes	characteristic
68	C₁₁×#479	C₂²	1	2	yes	complemented
69	C₁₁×#478	C₂²	1	2	yes	—
70	C₁₁×#478	C₂²	1	2	yes	complemented
71	C₁₁×#477	C₂²	1	2	yes	complemented
72	C₁₁×#474	C₂²	1	2	yes	—
73	C₁₁×#474	C₂²	1	2	yes	complemented
74	C₁₁×#464	C₂²	1	2	yes	—
75	C₁₁×#464	C₂²	1	2	yes	—
76	C₁₁×#464	C₂²	1	2	yes	—
77	C₁₁×#464	C₂²	1	2	yes	complemented
78	C₁₁×#464	C₂²	1	2	yes	complemented
79	C₁₁×#463	C₂²	1	2	yes	—
80	C₁₁×#463	C₂²	1	2	yes	—
81	C₁₁×#463	C₂²	1	2	yes	complemented
82	C₁₁×#463	C₂²	1	2	yes	complemented
83	C₁₁×#462	C₂²	1	2	yes	complemented
84	C₁₁×#462	C₂²	1	2	yes	complemented
85	C₁₁×#461	C₂²	1	2	yes	—
86	C₁₁×#461	C₂²	1	2	yes	complemented
87	C₁₁×#460	C₂²	1	2	yes	—
88	C₁₁×#460	C₂²	1	2	yes	—
89	C₁₁×#460	C₂²	1	2	yes	—
90	C₁₁×#460	C₂²	1	2	yes	complemented
91	C₁₁×#459	C₂²	1	2	yes	—
92	C₁₁×#452	C₂²	1	2	yes	—
93	C₁₁×#452	C₂²	1	2	yes	—
94	C₁₁×#452	C₂²	1	2	yes	—
95	C₁₁×#450	C₂²	1	1	yes	characteristic
96	C₁₁×#450	C₂²	1	2	yes	—
97	C₁₁×#449	C₂²	1	2	yes	—
98	C₁₁×#447	C₂²	1	1	yes	characteristic
99	C₁₁×#446	C₂²	1	2	yes	complemented
100	C₁₁×#446	C₂²	1	2	yes	complemented
101	C₁₁×#446	C₂²	1	2	yes	complemented
102	C₁₁×#446	C₂²	1	2	yes	complemented
103	C₁₁×#442	C₂²	1	2	yes	—
104	C₁₁×#441	C₂²	1	2	yes	complemented
105	C₁₁×#440	C₂²	1	2	yes	—
106	C₁₁×#440	C₂²	1	2	yes	—
107	C₁₁×#440	C₂²	1	2	yes	—
108	C₁₁×#440	C₂²	1	2	yes	complemented
109	C₁₁×#440	C₂²	1	2	yes	complemented
110	C₁₁×#440	C₂²	1	2	yes	complemented
111	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
112	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
113	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
114	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
115	C₁₁×#433	C₂²	1	2	yes	—
116	C₁₁×#433	C₂²	1	2	yes	—
117	C₁₁×#432	C₂²	1	1	yes	characteristic
118	C₁₁×#432	C₂²	1	1	yes	characteristic
119	C₂×C₁₁×#41	—	2	2	no	—
120	C₂×C₁₁×#41	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
122	C₂³×C₄×C₁₁	—	2	1	no	—
123	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
124	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
125	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
126	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
127	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
128	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
129	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
130	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
131	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
132	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
133	C₂×C₁₁×D₈	C₂³	1	2	yes	—
134	C₂×C₁₁×D₈	C₂³	1	2	yes	—
135	C₁₁×C₄⋊Q₈	—	2	2	no	—
136	C₁₁×C₄⋊Q₈	—	2	2	no	—
137	C₁₁×C₄⋊Q₈	—	2	1	no	—
138	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
139	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
140	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
141	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
142	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
143	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
144	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
145	C₁₁×#127	C₂³	1	2	yes	—
146	C₁₁×#127	C₂³	1	1	yes	characteristic
147	C₁₁×#127	C₂³	1	2	yes	—
148	C₁₁×#126	—	2	2	no	—
149	C₁₁×#126	—	2	2	no	—
150	C₁₁×#126	—	2	2	no	—
151	C₁₁×#126	—	2	2	no	—
152	C₁₁×#126	—	2	2	no	—
153	C₁₁×#126	—	2	2	no	—
154	C₁₁×#126	—	2	2	no	—
155	C₁₁×#126	—	2	2	no	—
156	C₁₁×#126	—	2	1	no	—
157	C₁₁×#125	—	2	2	no	—
158	C₁₁×#125	—	2	2	no	—
159	C₁₁×#125	—	2	2	no	—
160	C₁₁×#125	—	2	2	no	—
161	C₁₁×#125	—	2	2	no	—
162	C₁₁×#125	—	2	1	no	—
163	C₁₁×#125	—	2	1	no	—
164	C₁₁×#125	D₄	1	2	yes	—
165	C₁₁×#125	C₂³	1	2	yes	—
166	C₁₁×#125	C₂³	1	1	yes	characteristic
167	C₁₁×#124	—	2	2	no	—
168	C₁₁×#124	—	2	2	no	—
169	C₁₁×#124	—	2	2	no	—
170	C₁₁×#124	C₂³	1	2	yes	—
171	C₁₁×#124	C₂³	1	2	yes	—
172	C₁₁×#124	C₂³	1	2	yes	—
173	C₁₁×#124	C₂³	1	1	yes	characteristic
174	C₁₁×#124	C₂³	1	2	yes	—
175	C₁₁×#123	—	2	1	no	—
176	C₁₁×#123	—	2	2	no	—
177	C₁₁×#123	—	2	2	no	—
178	C₁₁×#123	—	2	2	no	—
179	C₁₁×#123	—	2	2	no	—
180	C₁₁×#123	—	2	2	no	—
181	C₁₁×C₂²⋊Q₈	—	2	2	no	—
182	C₁₁×C₂²⋊Q₈	—	2	1	no	—
183	C₁₁×C₂²⋊Q₈	—	2	1	no	—
184	C₁₁×C₂²⋊Q₈	—	2	2	no	—
185	C₁₁×C₂²⋊Q₈	—	2	1	no	—
186	C₁₁×C₂²⋊Q₈	—	2	2	no	—
187	C₁₁×C₂²⋊Q₈	—	2	2	no	—
188	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
189	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
190	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
191	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
192	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
193	C₁₁×#121	—	2	1	no	—
194	C₁₁×#121	—	2	1	no	—
195	C₁₁×#121	—	2	2	no	—
196	C₁₁×#121	—	2	2	no	—
197	C₁₁×#121	—	2	2	no	—
198	C₁₁×#121	—	2	2	no	—
199	C₁₁×#121	—	2	2	no	—
200	C₁₁×#121	C₂³	1	1	yes	characteristic
201	C₁₁×#120	—	2	2	no	—
202	C₁₁×#120	—	2	2	no	—
203	C₄×Q₈×C₁₁	—	2	1	no	—
204	C₄×Q₈×C₁₁	—	2	1	no	—
205	C₄×Q₈×C₁₁	—	2	2	no	—
206	C₄×Q₈×C₁₁	—	2	1	no	—
207	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
208	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
209	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
210	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
211	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
212	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
213	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
214	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
215	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
216	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
217	C₄×D₄×C₁₁	—	2	1	no	—
218	C₄×D₄×C₁₁	—	2	2	no	—
219	C₄×D₄×C₁₁	—	2	2	no	—
220	C₄×D₄×C₁₁	—	2	2	no	—
221	C₄×D₄×C₁₁	—	2	2	no	—
222	C₄×D₄×C₁₁	—	2	1	no	—
223	C₄×D₄×C₁₁	—	2	1	no	—
224	C₄×D₄×C₁₁	—	2	1	no	—
225	C₄×D₄×C₁₁	—	2	1	no	—
226	C₄×D₄×C₁₁	C₂³	1	2	yes	—
227	C₄×D₄×C₁₁	C₂³	1	2	yes	—
228	C₄×D₄×C₁₁	C₂³	1	2	yes	—
229	C₄×D₄×C₁₁	C₂³	1	2	yes	—
230	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
231	C₄×D₄×C₁₁	C₂³	1	2	yes	—
232	C₁₁×#117	—	2	1	no	—
233	C₁₁×#117	—	2	2	no	—
234	C₁₁×#117	—	2	2	no	—
235	C₁₁×#117	—	2	2	no	—
236	C₁₁×#117	—	2	1	no	—
237	C₁₁×#117	—	2	1	no	—
238	C₁₁×#117	C₂³	1	2	yes	—
239	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
240	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
241	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
243	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
244	C₁₁×#107	C₂³	1	2	yes	—
245	C₁₁×#107	C₂³	1	2	yes	—
246	C₁₁×#107	C₂³	1	2	yes	—
247	C₁₁×#106	C₂³	1	2	yes	—
248	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
249	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
250	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
251	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
252	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
253	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
254	C₁₁×#103	C₂³	1	2	yes	—
255	C₁₁×#103	C₂³	1	2	yes	—
256	C₁₁×#103	C₂³	1	2	yes	—
257	C₁₁×#103	C₂³	1	2	yes	—
258	C₁₁×#103	C₂³	1	2	yes	—
259	C₁₁×#103	C₂³	1	2	yes	—
260	C₁₁×#103	C₂³	1	2	yes	—
261	C₁₁×#102	C₂³	1	2	yes	—
262	C₁₁×#102	C₂³	1	2	yes	—
263	C₁₁×#102	C₂³	1	2	yes	—
264	C₁₁×#102	C₂³	1	2	yes	—
265	C₁₁×#102	C₂³	1	2	yes	—
266	C₁₁×#102	C₂³	1	2	yes	—
267	C₁₁×#102	C₂³	1	2	yes	—
268	C₁₁×#102	C₂³	1	2	yes	—
269	C₁₁×#102	C₂³	1	2	yes	—
270	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
271	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
272	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
273	C₁₁×#97	C₂³	1	2	yes	—
274	C₁₁×#97	C₂³	1	2	yes	—
275	C₁₁×#97	C₂³	1	2	yes	—
276	C₁₁×#97	C₂³	1	1	yes	characteristic
277	C₁₁×#97	C₂³	1	1	yes	characteristic
278	C₄×C₈×C₁₁	C₂³	1	2	yes	—
279	C₄×C₈×C₁₁	C₂³	1	2	yes	—
280	#61939	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
281	C₂⁴×C₁₁	—	2	1	no	—
282	C₁₁×#41	—	4	2	no	—
283	C₁₁×#41	—	4	2	no	—
284	C₁₁×#41	—	8	4	no	—
285	C₂×Q₈×C₁₁	—	2	1	no	—
286	C₂×Q₈×C₁₁	—	2	2	no	—
287	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
288	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
289	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
290	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
291	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
292	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
293	C₂×D₄×C₁₁	—	2	2	no	—
294	C₂×D₄×C₁₁	—	2	1	no	—
295	C₂×D₄×C₁₁	—	2	1	no	—
296	C₂×D₄×C₁₁	—	2	1	no	—
297	C₂×D₄×C₁₁	—	2	2	no	—
298	C₂×D₄×C₁₁	—	2	2	no	—
299	C₂×D₄×C₁₁	—	2	1	no	—
300	C₂×D₄×C₁₁	—	2	2	no	—
301	C₂×D₄×C₁₁	—	2	2	no	—
302	C₂×D₄×C₁₁	—	4	2	no	—
303	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
304	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
305	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
306	C₂²×C₄×C₁₁	—	2	1	no	—
307	C₂²×C₄×C₁₁	—	2	1	no	—
308	C₂²×C₄×C₁₁	—	2	2	no	—
309	C₂²×C₄×C₁₁	—	2	2	no	—
310	C₂²×C₄×C₁₁	—	2	2	no	—
311	C₂²×C₄×C₁₁	—	2	2	no	—
312	C₂²×C₄×C₁₁	—	2	2	no	—
313	C₂²×C₄×C₁₁	—	2	2	no	—
314	C₂²×C₄×C₁₁	—	8	2	no	—
315	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
316	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
317	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
318	C₁₁×Q₁₆	—	4	2	no	—
319	C₁₁×Q₁₆	—	4	2	no	—
320	C₁₁×Q₁₆	—	4	2	no	—
321	C₁₁×SD₁₆	—	4	2	no	—
322	C₁₁×SD₁₆	—	4	2	no	—
323	C₁₁×SD₁₆	—	4	2	no	—
324	C₁₁×SD₁₆	—	4	2	no	—
325	C₁₁×SD₁₆	—	4	2	no	—
326	C₁₁×SD₁₆	—	4	2	no	—
327	C₁₁×SD₁₆	—	4	2	no	—
328	C₁₁×D₈	—	4	2	no	—
329	C₁₁×D₈	—	4	2	no	—
330	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
331	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
332	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
333	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
334	C₁₁×C₄⋊C₄	—	2	1	no	—
335	C₁₁×C₄⋊C₄	—	2	1	no	—
336	C₁₁×C₄⋊C₄	—	2	2	no	—
337	C₁₁×C₄⋊C₄	—	2	2	no	—
338	C₁₁×C₄⋊C₄	—	2	2	no	—
339	C₁₁×C₄⋊C₄	—	2	1	no	—
340	C₁₁×C₄⋊C₄	—	2	1	no	—
341	C₁₁×C₄⋊C₄	—	2	2	no	—
342	C₁₁×C₄⋊C₄	—	2	1	no	—
343	C₁₁×C₄⋊C₄	—	2	1	no	—
344	C₁₁×C₄⋊C₄	—	2	1	no	—
345	C₁₁×C₄⋊C₄	—	2	1	no	—
346	C₁₁×C₄⋊C₄	—	2	2	no	—
347	C₁₁×C₄⋊C₄	—	2	2	no	—
348	C₁₁×C₄⋊C₄	—	2	1	no	—
349	C₁₁×C₄⋊C₄	—	2	2	no	—
350	C₁₁×C₄⋊C₄	—	2	2	no	—
351	C₁₁×C₄⋊C₄	—	2	2	no	—
352	C₁₁×C₄⋊C₄	—	2	2	no	—
353	C₁₁×C₄⋊C₄	—	2	2	no	—
354	C₁₁×C₄⋊C₄	—	2	2	no	—
355	C₁₁×C₄⋊C₄	—	2	1	no	—
356	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
357	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
358	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
359	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
360	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
361	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
362	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
363	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
364	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
365	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
366	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
367	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
368	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
369	C₁₁×C₂²⋊C₄	—	2	2	no	—
370	C₁₁×C₂²⋊C₄	—	2	1	no	—
371	C₁₁×C₂²⋊C₄	—	2	2	no	—
372	C₁₁×C₂²⋊C₄	—	2	2	no	—
373	C₁₁×C₂²⋊C₄	—	2	1	no	—
374	C₁₁×C₂²⋊C₄	—	2	2	no	—
375	C₁₁×C₂²⋊C₄	—	2	2	no	—
376	C₁₁×C₂²⋊C₄	—	2	2	no	—
377	C₁₁×C₂²⋊C₄	—	2	2	no	—
378	C₁₁×C₂²⋊C₄	—	2	1	no	—
379	C₁₁×C₂²⋊C₄	—	2	1	no	—
380	C₁₁×C₂²⋊C₄	—	2	2	no	—
381	C₁₁×C₂²⋊C₄	—	2	2	no	—
382	C₁₁×C₂²⋊C₄	—	2	2	no	—
383	C₁₁×C₂²⋊C₄	—	2	2	no	—
384	C₁₁×C₂²⋊C₄	—	2	2	no	—
385	C₁₁×C₂²⋊C₄	—	2	2	no	—
386	C₁₁×C₂²⋊C₄	—	2	1	no	—
387	C₁₁×C₂²⋊C₄	—	2	2	no	—
388	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
389	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
390	C₄²×C₁₁	—	2	2	no	—
391	C₄²×C₁₁	—	2	2	no	—
392	C₄²×C₁₁	—	2	2	no	—
393	C₄²×C₁₁	—	2	1	no	—
394	C₄²×C₁₁	—	2	2	no	—
395	C₄²×C₁₁	—	2	2	no	—
396	C₄²×C₁₁	—	2	2	no	—
397	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
398	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
399	C₄²×C₁₁	C₂⁴	1	2	yes	—
400	C₄²×C₁₁	C₂⁴	1	2	yes	—
401	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
402	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
403	#3555	C₂×C₁₁	1	1	yes	characteristic, complemented
404	#3506	C₂×C₁₁	1	1	yes	characteristic, complemented
405	#3402	C₂×C₁₁	1	2	yes	complemented
406	#3401	C₂×C₁₁	1	2	yes	complemented
407	#3400	C₂×C₁₁	1	2	yes	complemented
408	#3397	C₂×C₁₁	1	2	yes	complemented
409	#3377	C₂×C₁₁	1	2	yes	complemented
410	#3375	C₂×C₁₁	1	2	yes	complemented
411	#3370	C₂×C₁₁	1	2	yes	complemented
412	#3368	C₂×C₁₁	1	2	yes	complemented
413	#3224	C₂×C₁₁	1	2	yes	complemented
414	#3222	C₂×C₁₁	1	2	yes	complemented
415	#3219	C₂×C₁₁	1	1	yes	characteristic, complemented
416	#3216	C₂×C₁₁	1	1	yes	characteristic, complemented
417	#3124	C₂×C₁₁	1	2	yes	complemented
418	#3120	C₂×C₁₁	1	2	yes	complemented
419	#3114	C₂×C₁₁	1	1	yes	characteristic, complemented
420	#3110	C₂×C₁₁	1	1	yes	characteristic, complemented
421	#2987	C₂×C₁₁	1	1	yes	characteristic, complemented
422	C₂³×C₁₁	—	2	1	no	—
423	C₂³×C₁₁	—	2	2	no	—
424	C₂³×C₁₁	—	2	2	no	—
425	C₂³×C₁₁	—	4	2	no	—
426	C₂³×C₁₁	—	8	1	no	—
427	C₂³×C₁₁	—	8	1	no	—
428	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
429	Q₈×C₁₁	—	2	2	no	—
430	Q₈×C₁₁	—	2	2	no	—
431	Q₈×C₁₁	—	2	2	no	—
432	Q₈×C₁₁	—	2	2	no	—
433	Q₈×C₁₁	—	2	2	no	—
434	Q₈×C₁₁	—	4	1	no	—
435	Q₈×C₁₁	—	4	1	no	—
436	Q₈×C₁₁	—	4	2	no	—
437	Q₈×C₁₁	—	8	1	no	—
438	Q₈×C₁₁	—	8	2	no	—
439	D₄×C₁₁	—	2	2	no	—
440	D₄×C₁₁	—	2	2	no	—
441	D₄×C₁₁	—	2	2	no	—
442	D₄×C₁₁	—	2	2	no	—
443	D₄×C₁₁	—	2	2	no	—
444	D₄×C₁₁	—	4	2	no	—
445	D₄×C₁₁	—	4	2	no	—
446	D₄×C₁₁	—	4	4	no	—
447	D₄×C₁₁	—	8	1	no	—
448	D₄×C₁₁	—	8	2	no	—
449	D₄×C₁₁	—	8	2	no	—
450	D₄×C₁₁	—	8	2	no	—
451	D₄×C₁₁	—	8	2	no	—
452	D₄×C₁₁	—	8	1	no	—
453	C₂×C₄×C₁₁	—	2	2	no	—
454	C₂×C₄×C₁₁	—	2	2	no	—
455	C₂×C₄×C₁₁	—	2	1	no	—
456	C₂×C₄×C₁₁	—	2	1	no	—
457	C₂×C₄×C₁₁	—	2	2	no	—
458	C₂×C₄×C₁₁	—	2	2	no	—
459	C₂×C₄×C₁₁	—	2	1	no	—
460	C₂×C₄×C₁₁	—	2	2	no	—
461	C₂×C₄×C₁₁	—	4	1	no	—
462	C₂×C₄×C₁₁	—	4	1	no	—
463	C₂×C₄×C₁₁	—	4	2	no	—
464	C₂×C₄×C₁₁	—	4	4	no	—
465	C₂×C₄×C₁₁	—	4	4	no	—
466	C₂×C₄×C₁₁	—	8	2	no	—
467	C₂×C₄×C₁₁	—	8	2	no	—
468	C₂×C₄×C₁₁	—	8	2	no	—
469	C₂×C₄×C₁₁	—	8	2	no	—
470	C₂×C₄×C₁₁	—	8	1	no	—
471	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
472	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
473	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
474	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
475	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
476	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
477	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
478	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
479	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
480	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
481	C₈×C₁₁	—	2	2	no	—
482	C₈×C₁₁	—	2	2	no	—
483	C₈×C₁₁	—	2	2	no	—
484	C₈×C₁₁	—	2	2	no	—
485	#563	—	2	2	no	—
486	#559	C₂²×C₁₁	1	2	yes	—
487	#559	C₂²×C₁₁	1	2	yes	—
488	Q₈²	C₂²×C₁₁	1	1	yes	characteristic, complemented
489	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
490	#557	C₂²×C₁₁	1	2	yes	complemented
491	#556	—	2	1	no	—
492	#556	C₂²×C₁₁	1	2	yes	—
493	#556	C₂²×C₁₁	1	2	yes	complemented
494	#556	C₂²×C₁₁	1	1	yes	characteristic, complemented
495	#555	—	2	1	no	—
496	#554	C₂²×C₁₁	1	1	yes	characteristic, complemented
497	#553	—	2	2	no	—
498	#552	—	2	1	no	—
499	#550	C₂²×C₁₁	1	2	yes	—
500	#547	—	2	1	no	—
501	#544	—	2	1	no	—
502	#542	C₂²×C₁₁	1	2	yes	—
503	#541	—	2	1	no	—
504	#541	—	2	2	no	—
505	#541	C₂²×C₁₁	1	2	yes	—
506	#538	—	2	1	no	—
507	#538	—	2	1	no	—
508	#535	C₂²×C₁₁	1	2	yes	—
509	#533	C₂²×C₁₁	1	1	yes	characteristic
510	#533	C₂²×C₁₁	1	1	yes	characteristic
511	#532	C₂²×C₁₁	1	1	yes	characteristic
512	#529	C₂²×C₁₁	1	1	yes	characteristic
513	#525	—	2	2	no	—
514	#520	C₂²×C₁₁	1	2	yes	—
515	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
516	#497	C₂²×C₁₁	1	2	yes	—
517	#497	C₂²×C₁₁	1	2	yes	complemented
518	#497	C₂²×C₁₁	1	1	yes	characteristic, complemented
519	#496	C₂²×C₁₁	1	2	yes	—
520	#496	C₂²×C₁₁	1	1	yes	characteristic, complemented
521	#495	C₂²×C₁₁	1	2	yes	—
522	#492	C₂²×C₁₁	1	2	yes	—
523	#491	C₂²×C₁₁	1	1	yes	characteristic, complemented
524	#490	C₂²×C₁₁	1	2	yes	—
525	#490	C₂²×C₁₁	1	1	yes	characteristic, complemented
526	#489	C₂²×C₁₁	1	2	yes	—
527	#489	C₂²×C₁₁	1	2	yes	complemented
528	#488	C₂²×C₁₁	1	2	yes	—
529	#486	C₂²×C₁₁	1	2	yes	—
530	#484	C₂²×C₁₁	1	2	yes	—
531	#483	C₂²×C₁₁	1	1	yes	characteristic
532	#480	C₂²×C₁₁	1	1	yes	characteristic
533	#479	C₂²×C₁₁	1	2	yes	complemented
534	#478	C₂²×C₁₁	1	2	yes	—
535	#478	C₂²×C₁₁	1	2	yes	complemented
536	#477	C₂²×C₁₁	1	2	yes	complemented
537	#474	C₂²×C₁₁	1	2	yes	—
538	#474	C₂²×C₁₁	1	2	yes	complemented
539	#464	C₂²×C₁₁	1	2	yes	—
540	#464	C₂²×C₁₁	1	2	yes	—
541	#464	C₂²×C₁₁	1	2	yes	—
542	#464	C₂²×C₁₁	1	2	yes	complemented
543	#464	C₂²×C₁₁	1	2	yes	complemented
544	#463	C₂²×C₁₁	1	2	yes	—
545	#463	C₂²×C₁₁	1	2	yes	—
546	#463	C₂²×C₁₁	1	2	yes	complemented
547	#463	C₂²×C₁₁	1	2	yes	complemented
548	#462	C₂²×C₁₁	1	2	yes	complemented
549	#462	C₂²×C₁₁	1	2	yes	complemented
550	#461	C₂²×C₁₁	1	2	yes	—
551	#461	C₂²×C₁₁	1	2	yes	complemented
552	#460	C₂²×C₁₁	1	2	yes	—
553	#460	C₂²×C₁₁	1	2	yes	—
554	#460	C₂²×C₁₁	1	2	yes	—
555	#460	C₂²×C₁₁	1	2	yes	complemented
556	#459	C₂²×C₁₁	1	2	yes	—
557	#452	C₂²×C₁₁	1	2	yes	—
558	#452	C₂²×C₁₁	1	2	yes	—
559	#452	C₂²×C₁₁	1	2	yes	—
560	#450	C₂²×C₁₁	1	2	yes	—
561	#450	C₂²×C₁₁	1	1	yes	characteristic
562	#449	C₂²×C₁₁	1	2	yes	—
563	#447	C₂²×C₁₁	1	1	yes	characteristic
564	#446	C₂²×C₁₁	1	2	yes	complemented
565	#446	C₂²×C₁₁	1	2	yes	complemented
566	#446	C₂²×C₁₁	1	2	yes	complemented
567	#446	C₂²×C₁₁	1	2	yes	complemented
568	#442	C₂²×C₁₁	1	2	yes	—
569	#441	C₂²×C₁₁	1	2	yes	complemented
570	#440	C₂²×C₁₁	1	2	yes	—
571	#440	C₂²×C₁₁	1	2	yes	—
572	#440	C₂²×C₁₁	1	2	yes	—
573	#440	C₂²×C₁₁	1	2	yes	complemented
574	#440	C₂²×C₁₁	1	2	yes	complemented
575	#440	C₂²×C₁₁	1	2	yes	complemented
576	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
577	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
578	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
579	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
580	#433	C₂²×C₁₁	1	2	yes	—
581	#433	C₂²×C₁₁	1	2	yes	—
582	#432	C₂²×C₁₁	1	1	yes	characteristic
583	#432	C₂²×C₁₁	1	1	yes	characteristic
584	C₂²×C₁₁	—	2	1	no	—
585	C₂²×C₁₁	—	2	1	no	—
586	C₂²×C₁₁	—	2	1	no	—
587	C₂²×C₁₁	—	4	2	no	—
588	C₂²×C₁₁	—	4	2	no	—
589	C₂²×C₁₁	—	4	1	no	—
590	C₂²×C₁₁	—	4	1	no	—
591	C₂²×C₁₁	—	4	2	no	—
592	C₂²×C₁₁	—	4	2	no	—
593	C₂²×C₁₁	—	4	2	no	—
594	C₂²×C₁₁	—	4	2	no	—
595	C₂²×C₁₁	—	4	1	no	—
596	C₂²×C₁₁	—	8	4	no	—
597	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
598	C₄×C₁₁	—	2	1	no	—
599	C₄×C₁₁	—	2	1	no	—
600	C₄×C₁₁	—	2	2	no	—
601	C₄×C₁₁	—	2	2	no	—
602	C₄×C₁₁	—	2	1	no	—
603	C₄×C₁₁	—	2	1	no	—
604	C₄×C₁₁	—	2	2	no	—
605	C₄×C₁₁	—	2	2	no	—
606	C₄×C₁₁	—	2	1	no	—
607	C₄×C₁₁	—	4	2	no	—
608	C₄×C₁₁	—	4	2	no	—
609	C₄×C₁₁	—	4	1	no	—
610	C₄×C₁₁	—	4	1	no	—
611	C₄×C₁₁	—	4	2	no	—
612	C₄×C₁₁	—	4	2	no	—
613	C₄×C₁₁	—	4	1	no	—
614	C₄×C₁₁	#585	1	2	yes	—
615	C₂×#41	—	2	2	no	—
616	C₂×#41	C₂³×C₁₁	1	2	yes	—
617	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
618	C₂³×C₄	—	2	1	no	—
619	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
620	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
621	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
622	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
623	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
624	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
625	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
626	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
627	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
628	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
629	C₂×D₈	C₂³×C₁₁	1	2	yes	—
630	C₂×D₈	C₂³×C₁₁	1	2	yes	—
631	C₄⋊Q₈	—	2	2	no	—
632	C₄⋊Q₈	—	2	2	no	—
633	C₄⋊Q₈	—	2	1	no	—
634	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
635	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
636	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
637	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
638	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
639	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
640	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
641	#127	C₂³×C₁₁	1	1	yes	characteristic
642	#127	C₂³×C₁₁	1	2	yes	—
643	#127	C₂³×C₁₁	1	2	yes	—
644	#126	—	2	2	no	—
645	#126	—	2	2	no	—
646	#126	—	2	2	no	—
647	#126	—	2	2	no	—
648	#126	—	2	2	no	—
649	#126	—	2	2	no	—
650	#126	—	2	2	no	—
651	#126	—	2	2	no	—
652	#126	—	2	1	no	—
653	#125	—	2	2	no	—
654	#125	—	2	2	no	—
655	#125	—	2	2	no	—
656	#125	—	2	2	no	—
657	#125	—	2	2	no	—
658	#125	—	2	1	no	—
659	#125	—	2	1	no	—
660	#125	D₄×C₁₁	1	2	yes	—
661	#125	C₂³×C₁₁	1	1	yes	characteristic
662	#125	C₂³×C₁₁	1	2	yes	—
663	#124	—	2	2	no	—
664	#124	—	2	2	no	—
665	#124	—	2	2	no	—
666	#124	C₂³×C₁₁	1	1	yes	characteristic
667	#124	C₂³×C₁₁	1	2	yes	—
668	#124	C₂³×C₁₁	1	2	yes	—
669	#124	C₂³×C₁₁	1	2	yes	—
670	#124	C₂³×C₁₁	1	2	yes	—
671	#123	—	2	1	no	—
672	#123	—	2	2	no	—
673	#123	—	2	2	no	—
674	#123	—	2	2	no	—
675	#123	—	2	2	no	—
676	#123	—	2	2	no	—
677	C₂²⋊Q₈	—	2	2	no	—
678	C₂²⋊Q₈	—	2	1	no	—
679	C₂²⋊Q₈	—	2	1	no	—
680	C₂²⋊Q₈	—	2	2	no	—
681	C₂²⋊Q₈	—	2	1	no	—
682	C₂²⋊Q₈	—	2	2	no	—
683	C₂²⋊Q₈	—	2	2	no	—
684	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
685	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
686	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
687	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
688	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
689	#121	—	2	1	no	—
690	#121	—	2	1	no	—
691	#121	—	2	2	no	—
692	#121	—	2	2	no	—
693	#121	—	2	2	no	—
694	#121	—	2	2	no	—
695	#121	—	2	2	no	—
696	#121	C₂³×C₁₁	1	1	yes	characteristic
697	#120	—	2	2	no	—
698	#120	—	2	2	no	—
699	C₄×Q₈	—	2	1	no	—
700	C₄×Q₈	—	2	1	no	—
701	C₄×Q₈	—	2	2	no	—
702	C₄×Q₈	—	2	1	no	—
703	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
704	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
705	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
706	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
707	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
708	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
709	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
710	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
711	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
712	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
713	C₄×D₄	—	2	1	no	—
714	C₄×D₄	—	2	2	no	—
715	C₄×D₄	—	2	2	no	—
716	C₄×D₄	—	2	2	no	—
717	C₄×D₄	—	2	2	no	—
718	C₄×D₄	—	2	1	no	—
719	C₄×D₄	—	2	1	no	—
720	C₄×D₄	—	2	1	no	—
721	C₄×D₄	—	2	1	no	—
722	C₄×D₄	C₂³×C₁₁	1	2	yes	—
723	C₄×D₄	C₂³×C₁₁	1	2	yes	—
724	C₄×D₄	C₂³×C₁₁	1	2	yes	—
725	C₄×D₄	C₂³×C₁₁	1	2	yes	—
726	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
727	C₄×D₄	C₂³×C₁₁	1	2	yes	—
728	#117	—	2	1	no	—
729	#117	—	2	2	no	—
730	#117	—	2	2	no	—
731	#117	—	2	2	no	—
732	#117	—	2	1	no	—
733	#117	—	2	1	no	—
734	#117	C₂³×C₁₁	1	2	yes	—
735	C₂×C₄⋊C₄	—	2	2	no	—
736	C₂×C₄⋊C₄	—	2	1	no	—
737	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
738	C₂×C₂²⋊C₄	—	2	1	no	—
739	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
740	#107	C₂³×C₁₁	1	2	yes	—
741	#107	C₂³×C₁₁	1	2	yes	—
742	#107	C₂³×C₁₁	1	2	yes	—
743	#106	C₂³×C₁₁	1	2	yes	—
744	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
745	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
746	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
747	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
748	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
749	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
750	#103	C₂³×C₁₁	1	2	yes	—
751	#103	C₂³×C₁₁	1	2	yes	—
752	#103	C₂³×C₁₁	1	2	yes	—
753	#103	C₂³×C₁₁	1	2	yes	—
754	#103	C₂³×C₁₁	1	2	yes	—
755	#103	C₂³×C₁₁	1	2	yes	—
756	#103	C₂³×C₁₁	1	2	yes	—
757	#102	C₂³×C₁₁	1	2	yes	—
758	#102	C₂³×C₁₁	1	2	yes	—
759	#102	C₂³×C₁₁	1	2	yes	—
760	#102	C₂³×C₁₁	1	2	yes	—
761	#102	C₂³×C₁₁	1	2	yes	—
762	#102	C₂³×C₁₁	1	2	yes	—
763	#102	C₂³×C₁₁	1	2	yes	—
764	#102	C₂³×C₁₁	1	2	yes	—
765	#102	C₂³×C₁₁	1	2	yes	—
766	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
767	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
768	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
769	#97	C₂³×C₁₁	1	1	yes	characteristic
770	#97	C₂³×C₁₁	1	1	yes	characteristic
771	#97	C₂³×C₁₁	1	2	yes	—
772	#97	C₂³×C₁₁	1	2	yes	—
773	#97	C₂³×C₁₁	1	2	yes	—
774	C₄×C₈	C₂³×C₁₁	1	2	yes	—
775	C₄×C₈	C₂³×C₁₁	1	2	yes	—
776	C₂×C₁₁	—	4	1	no	—
777	C₂×C₁₁	—	8	2	no	—
778	C₂×C₁₁	—	8	1	no	—
779	C₂×C₁₁	—	8	2	no	—
780	C₂×C₁₁	#3487	1	1	yes	characteristic
781	C₂×C₁₁	#3585	1	1	yes	characteristic
782	C₂×C₁₁	#3586	1	1	yes	characteristic
783	C₂⁴	—	2	1	no	—
784	#41	—	4	2	no	—
785	#41	—	4	2	no	—
786	#41	—	8	4	no	—
787	C₂×Q₈	—	2	1	no	—
788	C₂×Q₈	—	2	2	no	—
789	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
790	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
791	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
792	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
793	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
794	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
795	C₂×D₄	—	2	2	no	—
796	C₂×D₄	—	2	1	no	—
797	C₂×D₄	—	2	1	no	—
798	C₂×D₄	—	2	1	no	—
799	C₂×D₄	—	2	2	no	—
800	C₂×D₄	—	2	2	no	—
801	C₂×D₄	—	2	1	no	—
802	C₂×D₄	—	2	2	no	—
803	C₂×D₄	—	2	2	no	—
804	C₂×D₄	—	4	2	no	—
805	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
806	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
807	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
808	C₂²×C₄	—	2	1	no	—
809	C₂²×C₄	—	2	1	no	—
810	C₂²×C₄	—	2	2	no	—
811	C₂²×C₄	—	2	2	no	—
812	C₂²×C₄	—	2	2	no	—
813	C₂²×C₄	—	2	2	no	—
814	C₂²×C₄	—	2	2	no	—
815	C₂²×C₄	—	2	2	no	—
816	C₂²×C₄	—	8	2	no	—
817	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
818	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
819	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
820	Q₁₆	—	4	2	no	—
821	Q₁₆	—	4	2	no	—
822	Q₁₆	—	4	2	no	—
823	SD₁₆	—	4	2	no	—
824	SD₁₆	—	4	2	no	—
825	SD₁₆	—	4	2	no	—
826	SD₁₆	—	4	2	no	—
827	SD₁₆	—	4	2	no	—
828	SD₁₆	—	4	2	no	—
829	SD₁₆	—	4	2	no	—
830	D₈	—	4	2	no	—
831	D₈	—	4	2	no	—
832	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
833	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
834	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
835	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
836	C₄⋊C₄	—	2	1	no	—
837	C₄⋊C₄	—	2	1	no	—
838	C₄⋊C₄	—	2	2	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	—	2	2	no	—
841	C₄⋊C₄	—	2	1	no	—
842	C₄⋊C₄	—	2	1	no	—
843	C₄⋊C₄	—	2	2	no	—
844	C₄⋊C₄	—	2	1	no	—
845	C₄⋊C₄	—	2	1	no	—
846	C₄⋊C₄	—	2	1	no	—
847	C₄⋊C₄	—	2	1	no	—
848	C₄⋊C₄	—	2	2	no	—
849	C₄⋊C₄	—	2	2	no	—
850	C₄⋊C₄	—	2	1	no	—
851	C₄⋊C₄	—	2	2	no	—
852	C₄⋊C₄	—	2	2	no	—
853	C₄⋊C₄	—	2	2	no	—
854	C₄⋊C₄	—	2	2	no	—
855	C₄⋊C₄	—	2	2	no	—
856	C₄⋊C₄	—	2	2	no	—
857	C₄⋊C₄	—	2	1	no	—
858	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
859	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
860	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
861	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
862	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
863	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
864	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
865	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
866	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
867	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
868	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
869	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
870	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
871	C₂²⋊C₄	—	2	2	no	—
872	C₂²⋊C₄	—	2	1	no	—
873	C₂²⋊C₄	—	2	2	no	—
874	C₂²⋊C₄	—	2	2	no	—
875	C₂²⋊C₄	—	2	1	no	—
876	C₂²⋊C₄	—	2	2	no	—
877	C₂²⋊C₄	—	2	2	no	—
878	C₂²⋊C₄	—	2	2	no	—
879	C₂²⋊C₄	—	2	2	no	—
880	C₂²⋊C₄	—	2	1	no	—
881	C₂²⋊C₄	—	2	1	no	—
882	C₂²⋊C₄	—	2	2	no	—
883	C₂²⋊C₄	—	2	2	no	—
884	C₂²⋊C₄	—	2	2	no	—
885	C₂²⋊C₄	—	2	2	no	—
886	C₂²⋊C₄	—	2	2	no	—
887	C₂²⋊C₄	—	2	2	no	—
888	C₂²⋊C₄	—	2	1	no	—
889	C₂²⋊C₄	—	2	2	no	—
890	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
891	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
892	C₄²	—	2	2	no	—
893	C₄²	—	2	2	no	—
894	C₄²	—	2	2	no	—
895	C₄²	—	2	1	no	—
896	C₄²	—	2	2	no	—
897	C₄²	—	2	2	no	—
898	C₄²	—	2	2	no	—
899	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
900	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
901	C₄²	C₂⁴×C₁₁	1	2	yes	—
902	C₄²	C₂⁴×C₁₁	1	2	yes	—
903	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
904	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
905	C₁₁	#61939	1	1	yes	characteristic, direct product factor, Sylow
906	C₂³	—	2	1	no	—
907	C₂³	—	2	2	no	—
908	C₂³	—	2	2	no	—
909	C₂³	—	4	2	no	—
910	C₂³	—	8	1	no	—
911	C₂³	—	8	1	no	—
912	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
913	Q₈	—	2	2	no	—
914	Q₈	—	2	2	no	—
915	Q₈	—	2	2	no	—
916	Q₈	—	2	2	no	—
917	Q₈	—	2	2	no	—
918	Q₈	—	4	1	no	—
919	Q₈	—	4	1	no	—
920	Q₈	—	4	2	no	—
921	Q₈	—	8	1	no	—
922	Q₈	—	8	2	no	—
923	D₄	—	2	2	no	—
924	D₄	—	2	2	no	—
925	D₄	—	2	2	no	—
926	D₄	—	2	2	no	—
927	D₄	—	2	2	no	—
928	D₄	—	4	2	no	—
929	D₄	—	4	2	no	—
930	D₄	—	4	4	no	—
931	D₄	—	8	1	no	—
932	D₄	—	8	2	no	—
933	D₄	—	8	2	no	—
934	D₄	—	8	2	no	—
935	D₄	—	8	2	no	—
936	D₄	—	8	1	no	—
937	C₂×C₄	—	2	2	no	—
938	C₂×C₄	—	2	2	no	—
939	C₂×C₄	—	2	1	no	—
940	C₂×C₄	—	2	1	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	1	no	—
944	C₂×C₄	—	2	2	no	—
945	C₂×C₄	—	4	1	no	—
946	C₂×C₄	—	4	1	no	—
947	C₂×C₄	—	4	2	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	4	4	no	—
950	C₂×C₄	—	8	2	no	—
951	C₂×C₄	—	8	2	no	—
952	C₂×C₄	—	8	2	no	—
953	C₂×C₄	—	8	2	no	—
954	C₂×C₄	—	8	1	no	—
955	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
956	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
957	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
958	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
959	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
960	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
961	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
962	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
963	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
964	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
965	C₈	—	2	2	no	—
966	C₈	—	2	2	no	—
967	C₈	—	2	2	no	—
968	C₈	—	2	2	no	—
969	C₂²	—	2	1	no	—
970	C₂²	—	2	1	no	—
971	C₂²	—	2	1	no	—
972	C₂²	—	4	2	no	—
973	C₂²	—	4	2	no	—
974	C₂²	—	4	1	no	—
975	C₂²	—	4	2	no	—
976	C₂²	—	4	2	no	—
977	C₂²	—	4	1	no	—
978	C₂²	—	4	1	no	—
979	C₂²	—	4	2	no	—
980	C₂²	—	4	2	no	—
981	C₂²	—	8	4	no	—
982	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
983	C₄	—	2	1	no	—
984	C₄	—	2	1	no	—
985	C₄	—	2	1	no	—
986	C₄	—	2	2	no	—
987	C₄	—	2	2	no	—
988	C₄	—	2	1	no	—
989	C₄	—	2	1	no	—
990	C₄	—	2	2	no	—
991	C₄	—	2	2	no	—
992	C₄	—	4	2	no	—
993	C₄	—	4	2	no	—
994	C₄	—	4	1	no	—
995	C₄	—	4	2	no	—
996	C₄	—	4	2	no	—
997	C₄	—	4	1	no	—
998	C₄	—	4	1	no	—
999	C₄	C₁₁×#585	1	2	yes	—
1000	C₂	—	4	1	no	—
1001	C₂	—	8	2	no	—
1002	C₂	—	8	2	no	—
1003	C₂	—	8	1	no	—
1004	C₂	C₁₁×#3487	1	1	yes	characteristic
1005	C₂	C₁₁×#3585	1	1	yes	characteristic
1006	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 ◁ C₁₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3555	C₂	semidirect
2. C₁₁×#3506	C₂	semidirect
3. C₁₁×#3402	C₂	semidirect
4. C₁₁×#3401	C₂	semidirect
5. C₁₁×#3400	C₂	semidirect
6. C₁₁×#3397	C₂	semidirect
7. C₁₁×#3377	C₂	semidirect
8. C₁₁×#3375	C₂	semidirect
9. C₁₁×#3370	C₂	semidirect
10. C₁₁×#3368	C₂	semidirect
11. C₁₁×#3224	C₂	semidirect
12. C₁₁×#3222	C₂	semidirect
13. C₁₁×#3219	C₂	semidirect
14. C₁₁×#3216	C₂	semidirect
15. C₁₁×#3124	C₂	semidirect
16. C₁₁×#3120	C₂	semidirect
17. C₁₁×#3114	C₂	semidirect
18. C₁₁×#3110	C₂	semidirect
19. C₁₁×#2987	C₂	semidirect
23. Q₈²×C₁₁	C₂²	semidirect
24. C₁₁×#557	C₂²	semidirect
25. C₁₁×#557	C₂²	semidirect
28. C₁₁×#556	C₂²	semidirect
29. C₁₁×#556	C₂²	semidirect
31. C₁₁×#554	C₂²	semidirect
52. C₁₁×#497	C₂²	semidirect
53. C₁₁×#497	C₂²	semidirect
55. C₁₁×#496	C₂²	semidirect
58. C₁₁×#491	C₂²	semidirect
60. C₁₁×#490	C₂²	semidirect
62. C₁₁×#489	C₂²	semidirect
68. C₁₁×#479	C₂²	semidirect
70. C₁₁×#478	C₂²	semidirect
71. C₁₁×#477	C₂²	semidirect
73. C₁₁×#474	C₂²	semidirect
77. C₁₁×#464	C₂²	semidirect
78. C₁₁×#464	C₂²	semidirect
81. C₁₁×#463	C₂²	semidirect
82. C₁₁×#463	C₂²	semidirect
83. C₁₁×#462	C₂²	semidirect
84. C₁₁×#462	C₂²	semidirect
86. C₁₁×#461	C₂²	semidirect
90. C₁₁×#460	C₂²	semidirect
99. C₁₁×#446	C₂²	semidirect
100. C₁₁×#446	C₂²	semidirect
101. C₁₁×#446	C₂²	semidirect
102. C₁₁×#446	C₂²	semidirect
104. C₁₁×#441	C₂²	semidirect
108. C₁₁×#440	C₂²	semidirect
109. C₁₁×#440	C₂²	semidirect
110. C₁₁×#440	C₂²	semidirect
111. C₄×C₁₁×Q₁₆	C₂²	semidirect
112. C₄×C₁₁×Q₁₆	C₂²	semidirect
113. C₄×C₁₁×SD₁₆	C₂²	semidirect
114. C₄×C₁₁×D₈	C₂²	semidirect
280. #61939	C₁₁	direct (N × H)
403. #3555	C₂×C₁₁	semidirect
404. #3506	C₂×C₁₁	semidirect
405. #3402	C₂×C₁₁	semidirect
406. #3401	C₂×C₁₁	semidirect
407. #3400	C₂×C₁₁	semidirect
408. #3397	C₂×C₁₁	semidirect
409. #3377	C₂×C₁₁	semidirect
410. #3375	C₂×C₁₁	semidirect
411. #3370	C₂×C₁₁	semidirect
412. #3368	C₂×C₁₁	semidirect
413. #3224	C₂×C₁₁	semidirect
414. #3222	C₂×C₁₁	semidirect
415. #3219	C₂×C₁₁	semidirect
416. #3216	C₂×C₁₁	semidirect
417. #3124	C₂×C₁₁	semidirect
418. #3120	C₂×C₁₁	semidirect
419. #3114	C₂×C₁₁	semidirect
420. #3110	C₂×C₁₁	semidirect
421. #2987	C₂×C₁₁	semidirect
488. Q₈²	C₂²×C₁₁	semidirect
489. #557	C₂²×C₁₁	semidirect
490. #557	C₂²×C₁₁	semidirect
493. #556	C₂²×C₁₁	semidirect
494. #556	C₂²×C₁₁	semidirect
496. #554	C₂²×C₁₁	semidirect
517. #497	C₂²×C₁₁	semidirect
518. #497	C₂²×C₁₁	semidirect
520. #496	C₂²×C₁₁	semidirect
523. #491	C₂²×C₁₁	semidirect
525. #490	C₂²×C₁₁	semidirect
527. #489	C₂²×C₁₁	semidirect
533. #479	C₂²×C₁₁	semidirect
535. #478	C₂²×C₁₁	semidirect
536. #477	C₂²×C₁₁	semidirect
538. #474	C₂²×C₁₁	semidirect
542. #464	C₂²×C₁₁	semidirect
543. #464	C₂²×C₁₁	semidirect
546. #463	C₂²×C₁₁	semidirect
547. #463	C₂²×C₁₁	semidirect
548. #462	C₂²×C₁₁	semidirect
549. #462	C₂²×C₁₁	semidirect
551. #461	C₂²×C₁₁	semidirect
555. #460	C₂²×C₁₁	semidirect
564. #446	C₂²×C₁₁	semidirect
565. #446	C₂²×C₁₁	semidirect
566. #446	C₂²×C₁₁	semidirect
567. #446	C₂²×C₁₁	semidirect
569. #441	C₂²×C₁₁	semidirect
573. #440	C₂²×C₁₁	semidirect
574. #440	C₂²×C₁₁	semidirect
575. #440	C₂²×C₁₁	semidirect
576. C₄×Q₁₆	C₂²×C₁₁	semidirect
577. C₄×Q₁₆	C₂²×C₁₁	semidirect
578. C₄×SD₁₆	C₂²×C₁₁	semidirect
579. C₄×D₈	C₂²×C₁₁	semidirect
905. C₁₁	#61939	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×#3555	2
C₁₁×#3506	2
C₁₁×#3402	2
C₁₁×#3401	2
C₁₁×#3400	2
C₁₁×#3397	2
C₁₁×#3377	2
C₁₁×#3375	2
C₁₁×#3370	2
C₁₁×#3368	2
C₁₁×#3224	2
C₁₁×#3222	2
C₁₁×#3219	2
C₁₁×#3216	2
C₁₁×#3124	2
C₁₁×#3120	2
C₁₁×#3114	2
C₁₁×#3110	2
C₁₁×#2987	2
#61939	11

Subgroups — C11×#61939 #14639132

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61939 #14639132