Subgroups — C₁₁×#61953 #14639146

Order 2816.

1932 conjugacy classes of subgroups.

The subgroup lattice has 906 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3480	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3396	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3365	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3304	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3297	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3287	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3282	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3247	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3246	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3212	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3205	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3106	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3104	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#3035	C₂	1	2	yes	maximal, complemented
16	C₂×C₁₁×#460	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2988	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#135	C₂²	1	4	yes	complemented
19	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
20	C₁₁×#559	—	2	1	no	—
21	C₁₁×#559	—	2	1	no	—
22	C₁₁×#559	C₂²	1	2	yes	—
23	C₁₁×#559	C₂²	1	1	yes	characteristic, complemented
24	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
25	C₁₁×#556	—	2	1	no	—
26	C₁₁×#556	C₂²	1	1	yes	characteristic, complemented
27	C₁₁×#553	—	2	2	no	—
28	C₁₁×#553	C₂²	1	2	yes	—
29	C₁₁×#550	—	2	1	no	—
30	C₁₁×#550	C₂²	1	2	yes	—
31	C₁₁×#550	C₂²	1	1	yes	characteristic, complemented
32	C₁₁×#548	C₂²	1	2	yes	—
33	C₁₁×#546	—	2	2	no	—
34	C₁₁×#546	C₂²	1	4	yes	—
35	C₁₁×#540	—	2	2	no	—
36	C₁₁×#535	—	2	1	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic
38	C₁₁×#532	—	2	1	no	—
39	C₁₁×#532	C₂²	1	2	yes	—
40	C₁₁×#532	C₂²	1	1	yes	characteristic
41	C₁₁×#532	C₂²	1	2	yes	—
42	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
43	C₁₁×#529	—	2	2	no	—
44	C₁₁×#529	C₂²	1	2	yes	complemented
45	C₁₁×#518	—	2	1	no	—
46	C₄×C₁₁×#41	—	2	1	no	—
47	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
48	C₄×C₁₁×#41	C₂²	1	2	yes	complemented
49	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
50	C₁₁×#495	C₂²	1	4	yes	complemented
51	C₁₁×#493	C₂²	1	2	yes	—
52	C₁₁×#488	C₂²	1	4	yes	complemented
53	C₁₁×#486	C₂²	1	2	yes	—
54	C₁₁×#484	C₂²	1	2	yes	—
55	C₁₁×#482	C₂²	1	4	yes	complemented
56	C₁₁×#478	C₂²	1	4	yes	complemented
57	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#477	C₂²	1	1	yes	characteristic, complemented
59	C₁₁×#476	C₂²	1	2	yes	complemented
60	C₁₁×#475	C₂²	1	2	yes	complemented
61	C₁₁×#466	C₂²	1	4	yes	complemented
62	C₁₁×#465	C₂²	1	4	yes	—
63	C₁₁×#465	C₂²	1	4	yes	complemented
64	C₁₁×#464	C₂²	1	4	yes	complemented
65	C₁₁×#463	C₂²	1	4	yes	complemented
66	C₁₁×#463	C₂²	1	4	yes	complemented
67	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
68	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
69	C₁₁×#461	C₂²	1	2	yes	complemented
70	C₁₁×#460	C₂²	1	2	yes	—
71	C₁₁×#460	C₂²	1	2	yes	—
72	C₁₁×#460	C₂²	1	2	yes	—
73	C₁₁×#460	C₂²	1	2	yes	—
74	C₁₁×#460	C₂²	1	2	yes	complemented
75	C₁₁×#459	C₂²	1	2	yes	—
76	C₁₁×#459	C₂²	1	2	yes	—
77	C₁₁×#452	C₂²	1	4	yes	complemented
78	C₁₁×#451	C₂²	1	2	yes	—
79	C₁₁×#449	C₂²	1	4	yes	complemented
80	C₁₁×#449	C₂²	1	4	yes	complemented
81	C₁₁×#447	C₂²	1	4	yes	—
82	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
83	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
84	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
85	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
86	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
87	C₈×D₄×C₁₁	C₂²	1	4	yes	—
88	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
89	C₁₁×#431	C₂²	1	1	yes	characteristic
90	C₁₁×#431	C₂²	1	2	yes	complemented
91	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
92	C₂×C₁₁×C₄⋊C₈	C₂²	1	2	yes	complemented
93	C₁₁×#416	C₂²	1	4	yes	complemented
94	C₂×C₁₁×#102	C₂²	1	2	yes	—
95	C₂×C₁₁×#41	—	2	1	no	—
96	C₂×C₁₁×#41	—	2	2	no	—
97	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
98	C₂×C₁₁×#41	C₂³	1	2	yes	—
99	C₂×C₁₁×#41	C₂³	1	4	yes	—
100	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
101	C₂²×D₄×C₁₁	—	2	1	no	—
102	C₂²×D₄×C₁₁	—	2	1	no	—
103	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
104	C₁₁×#135	—	4	8	no	—
105	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
106	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
107	C₂×C₁₁×SD₁₆	—	4	4	no	—
108	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
109	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
110	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
111	C₂×C₁₁×D₈	C₂³	1	4	yes	—
112	C₂×C₁₁×D₈	C₂³	1	4	yes	—
113	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
114	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
115	C₁₁×C₄⋊Q₈	—	2	1	no	—
116	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
118	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
119	C₁₁×#127	—	2	1	no	—
120	C₁₁×#127	—	2	2	no	—
121	C₁₁×#127	—	2	1	no	—
122	C₁₁×#127	—	2	1	no	—
123	C₁₁×#127	C₂³	1	1	yes	characteristic
124	C₁₁×#127	C₂³	1	2	yes	—
125	C₁₁×#127	C₂³	1	2	yes	—
126	C₁₁×#126	—	2	2	no	—
127	C₁₁×#126	—	2	2	no	—
128	C₁₁×#126	—	2	2	no	—
129	C₁₁×#125	—	2	2	no	—
130	C₁₁×#125	—	2	1	no	—
131	C₁₁×#125	C₂³	1	2	yes	—
132	C₁₁×#124	—	2	1	no	—
133	C₁₁×#124	—	2	2	no	—
134	C₁₁×#124	—	2	1	no	—
135	C₁₁×#124	—	2	2	no	—
136	C₁₁×#124	—	2	2	no	—
137	C₁₁×#124	—	2	1	no	—
138	C₁₁×#124	C₂³	1	2	yes	—
139	C₁₁×#124	C₂³	1	4	yes	—
140	C₁₁×#123	—	2	2	no	—
141	C₁₁×#123	—	2	2	no	—
142	C₁₁×#123	—	2	4	no	—
143	C₁₁×#123	—	2	4	no	—
144	C₁₁×#123	—	2	2	no	—
145	C₁₁×C₂²⋊Q₈	—	2	1	no	—
146	C₁₁×C₂²⋊Q₈	—	2	2	no	—
147	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
148	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
149	C₁₁×#121	—	2	2	no	—
150	C₁₁×#121	—	2	2	no	—
151	C₁₁×#121	—	2	2	no	—
152	C₁₁×#121	—	2	2	no	—
153	C₁₁×#121	—	2	2	no	—
154	C₁₁×#121	—	2	1	no	—
155	C₁₁×#121	—	2	2	no	—
156	C₁₁×#121	—	2	4	no	—
157	C₁₁×#121	—	2	4	no	—
158	C₁₁×#121	C₂³	1	2	yes	—
159	C₁₁×#121	C₂³	1	4	yes	—
160	C₁₁×#121	C₂³	1	2	yes	—
161	C₁₁×#120	—	2	4	no	—
162	C₄×Q₈×C₁₁	—	2	1	no	—
163	C₄×Q₈×C₁₁	—	2	1	no	—
164	C₄×Q₈×C₁₁	—	2	1	no	—
165	C₄×Q₈×C₁₁	—	2	1	no	—
166	C₄×Q₈×C₁₁	—	2	1	no	—
167	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
168	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
169	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
170	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
171	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
172	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
173	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
174	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₁	—	2	2	no	—
176	C₄×D₄×C₁₁	—	2	2	no	—
177	C₄×D₄×C₁₁	—	2	2	no	—
178	C₄×D₄×C₁₁	—	2	1	no	—
179	C₄×D₄×C₁₁	—	2	1	no	—
180	C₄×D₄×C₁₁	—	2	2	no	—
181	C₄×D₄×C₁₁	—	2	2	no	—
182	C₄×D₄×C₁₁	—	2	2	no	—
183	C₄×D₄×C₁₁	—	2	2	no	—
184	C₄×D₄×C₁₁	—	2	2	no	—
185	C₄×D₄×C₁₁	—	2	2	no	—
186	C₄×D₄×C₁₁	—	2	1	no	—
187	C₄×D₄×C₁₁	—	2	2	no	—
188	C₄×D₄×C₁₁	D₄	1	2	yes	—
189	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
190	C₄×D₄×C₁₁	C₂³	1	2	yes	—
191	C₄×D₄×C₁₁	C₂³	1	2	yes	—
192	C₄×D₄×C₁₁	C₂³	1	4	yes	—
193	C₄×D₄×C₁₁	C₂³	1	2	yes	—
194	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
195	C₁₁×#117	—	2	1	no	—
196	C₁₁×#117	—	2	2	no	—
197	C₁₁×#117	—	2	2	no	—
198	C₁₁×#117	D₄	1	1	yes	characteristic
199	C₁₁×#117	D₄	1	2	yes	—
200	C₁₁×#117	C₂³	1	2	yes	—
201	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
204	C₂×C₄²×C₁₁	—	2	1	no	—
205	C₂×C₄²×C₁₁	—	2	2	no	—
206	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
207	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
208	C₁₁×#107	C₂³	1	2	yes	—
209	C₁₁×#107	C₂³	1	2	yes	—
210	C₁₁×#106	C₂³	1	4	yes	—
211	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
212	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
213	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
214	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
215	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
216	C₁₁×#103	C₂³	1	2	yes	—
217	C₁₁×#103	C₂³	1	4	yes	—
218	C₁₁×#103	C₂³	1	2	yes	—
219	C₁₁×#103	C₂³	1	2	yes	—
220	C₁₁×#103	C₂³	1	2	yes	—
221	C₁₁×#102	C₂³	1	4	yes	—
222	C₁₁×#102	C₂³	1	4	yes	—
223	C₁₁×#102	C₂³	1	4	yes	—
224	C₁₁×#102	C₂³	1	4	yes	—
225	C₁₁×#102	C₂³	1	4	yes	—
226	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
227	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
228	C₄×C₈×C₁₁	C₂³	1	2	yes	—
229	C₄×C₈×C₁₁	C₂³	1	4	yes	—
230	#61953	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₂⁴×C₁₁	—	2	2	no	—
232	C₁₁×#41	—	2	4	no	—
233	C₁₁×#41	—	2	4	no	—
234	C₁₁×#41	—	4	2	no	—
235	C₁₁×#41	—	4	4	no	—
236	C₁₁×#41	—	4	4	no	—
237	C₁₁×#41	—	4	4	no	—
238	C₁₁×#41	—	8	4	no	—
239	C₂×Q₈×C₁₁	—	2	1	no	—
240	C₂×Q₈×C₁₁	—	2	1	no	—
241	C₂×Q₈×C₁₁	—	2	1	no	—
242	C₂×Q₈×C₁₁	—	2	2	no	—
243	C₂×Q₈×C₁₁	—	4	1	no	—
244	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
245	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
246	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
247	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₂×D₄×C₁₁	—	2	2	no	—
249	C₂×D₄×C₁₁	—	2	2	no	—
250	C₂×D₄×C₁₁	—	2	2	no	—
251	C₂×D₄×C₁₁	—	2	4	no	—
252	C₂×D₄×C₁₁	—	2	4	no	—
253	C₂×D₄×C₁₁	—	2	2	no	—
254	C₂×D₄×C₁₁	—	2	1	no	—
255	C₂×D₄×C₁₁	—	2	2	no	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	2	1	no	—
258	C₂×D₄×C₁₁	—	2	2	no	—
259	C₂×D₄×C₁₁	—	2	2	no	—
260	C₂×D₄×C₁₁	—	4	2	no	—
261	C₂×D₄×C₁₁	—	4	2	no	—
262	C₂×D₄×C₁₁	—	4	4	no	—
263	C₂×D₄×C₁₁	—	8	2	no	—
264	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
265	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
266	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
267	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
268	C₂²×C₄×C₁₁	—	2	1	no	—
269	C₂²×C₄×C₁₁	—	2	1	no	—
270	C₂²×C₄×C₁₁	—	2	2	no	—
271	C₂²×C₄×C₁₁	—	2	2	no	—
272	C₂²×C₄×C₁₁	—	2	2	no	—
273	C₂²×C₄×C₁₁	—	2	4	no	—
274	C₂²×C₄×C₁₁	—	2	4	no	—
275	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
277	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
278	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
279	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
280	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
281	C₁₁×Q₁₆	—	2	4	no	—
282	C₁₁×Q₁₆	—	4	2	no	—
283	C₁₁×SD₁₆	—	2	8	no	—
284	C₁₁×SD₁₆	—	4	4	no	—
285	C₁₁×SD₁₆	—	4	4	no	—
286	C₁₁×D₈	—	4	4	no	—
287	C₁₁×D₈	—	4	4	no	—
288	C₂×C₈×C₁₁	—	4	2	no	—
289	C₂×C₈×C₁₁	—	4	4	no	—
290	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
291	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
292	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
293	C₁₁×C₄⋊C₄	—	2	1	no	—
294	C₁₁×C₄⋊C₄	—	2	1	no	—
295	C₁₁×C₄⋊C₄	—	2	1	no	—
296	C₁₁×C₄⋊C₄	—	2	1	no	—
297	C₁₁×C₄⋊C₄	—	2	1	no	—
298	C₁₁×C₄⋊C₄	—	2	1	no	—
299	C₁₁×C₄⋊C₄	—	2	1	no	—
300	C₁₁×C₄⋊C₄	—	2	2	no	—
301	C₁₁×C₄⋊C₄	—	2	2	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	1	no	—
304	C₁₁×C₄⋊C₄	—	2	1	no	—
305	C₁₁×C₄⋊C₄	—	2	2	no	—
306	C₁₁×C₄⋊C₄	—	2	2	no	—
307	C₁₁×C₄⋊C₄	—	2	2	no	—
308	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
309	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
310	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
311	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
312	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
313	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
314	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
315	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
316	C₁₁×C₂²⋊C₄	—	2	2	no	—
317	C₁₁×C₂²⋊C₄	—	2	2	no	—
318	C₁₁×C₂²⋊C₄	—	2	2	no	—
319	C₁₁×C₂²⋊C₄	—	2	4	no	—
320	C₁₁×C₂²⋊C₄	—	2	4	no	—
321	C₁₁×C₂²⋊C₄	—	2	2	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	2	no	—
324	C₁₁×C₂²⋊C₄	—	2	2	no	—
325	C₁₁×C₂²⋊C₄	—	2	4	no	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	2	no	—
328	C₁₁×C₂²⋊C₄	—	2	4	no	—
329	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
330	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
331	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
332	C₄²×C₁₁	—	2	1	no	—
333	C₄²×C₁₁	—	2	1	no	—
334	C₄²×C₁₁	—	2	2	no	—
335	C₄²×C₁₁	—	2	2	no	—
336	C₄²×C₁₁	—	2	1	no	—
337	C₄²×C₁₁	—	2	1	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	C₂×D₄	1	2	yes	—
340	C₄²×C₁₁	C₂×D₄	1	2	yes	—
341	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
342	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
343	C₄²×C₁₁	C₂⁴	1	2	yes	—
344	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
345	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
346	#3508	C₂×C₁₁	1	1	yes	characteristic, complemented
347	#3480	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#3396	C₂×C₁₁	1	2	yes	complemented
349	#3365	C₂×C₁₁	1	2	yes	complemented
350	#3304	C₂×C₁₁	1	2	yes	complemented
351	#3297	C₂×C₁₁	1	4	yes	complemented
352	#3287	C₂×C₁₁	1	2	yes	complemented
353	#3282	C₂×C₁₁	1	4	yes	complemented
354	#3247	C₂×C₁₁	1	2	yes	complemented
355	#3246	C₂×C₁₁	1	1	yes	characteristic, complemented
356	#3212	C₂×C₁₁	1	2	yes	complemented
357	#3205	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#3106	C₂×C₁₁	1	2	yes	complemented
359	#3104	C₂×C₁₁	1	1	yes	characteristic, complemented
360	#3035	C₂×C₁₁	1	2	yes	complemented
361	C₂×#460	C₂×C₁₁	1	1	yes	characteristic, complemented
362	#2988	C₂×C₁₁	1	1	yes	characteristic, complemented
363	C₂³×C₁₁	—	2	2	no	—
364	C₂³×C₁₁	—	2	4	no	—
365	C₂³×C₁₁	—	4	4	no	—
366	C₂³×C₁₁	—	8	2	no	—
367	C₂³×C₁₁	—	8	2	no	—
368	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
369	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
370	Q₈×C₁₁	—	2	2	no	—
371	Q₈×C₁₁	—	2	1	no	—
372	Q₈×C₁₁	—	2	1	no	—
373	Q₈×C₁₁	—	2	2	no	—
374	Q₈×C₁₁	—	2	1	no	—
375	Q₈×C₁₁	—	2	2	no	—
376	Q₈×C₁₁	—	4	2	no	—
377	Q₈×C₁₁	—	4	2	no	—
378	Q₈×C₁₁	—	4	2	no	—
379	Q₈×C₁₁	H(5,𝔽₂)	1	2	yes	—
380	D₄×C₁₁	—	2	4	no	—
381	D₄×C₁₁	—	2	2	no	—
382	D₄×C₁₁	—	2	2	no	—
383	D₄×C₁₁	—	2	4	no	—
384	D₄×C₁₁	—	2	2	no	—
385	D₄×C₁₁	—	2	4	no	—
386	D₄×C₁₁	—	4	4	no	—
387	D₄×C₁₁	—	4	4	no	—
388	D₄×C₁₁	—	4	4	no	—
389	D₄×C₁₁	—	4	4	no	—
390	D₄×C₁₁	—	4	4	no	—
391	D₄×C₁₁	—	4	2	no	—
392	D₄×C₁₁	—	8	1	no	—
393	D₄×C₁₁	—	8	2	no	—
394	D₄×C₁₁	—	8	2	no	—
395	D₄×C₁₁	—	8	2	no	—
396	D₄×C₁₁	—	8	4	no	—
397	D₄×C₁₁	—	8	4	no	—
398	C₂×C₄×C₁₁	—	2	1	no	—
399	C₂×C₄×C₁₁	—	2	4	no	—
400	C₂×C₄×C₁₁	—	2	1	no	—
401	C₂×C₄×C₁₁	—	2	2	no	—
402	C₂×C₄×C₁₁	—	2	1	no	—
403	C₂×C₄×C₁₁	—	2	2	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	1	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	1	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	2	2	no	—
410	C₂×C₄×C₁₁	—	4	1	no	—
411	C₂×C₄×C₁₁	—	4	2	no	—
412	C₂×C₄×C₁₁	—	4	4	no	—
413	C₂×C₄×C₁₁	—	4	2	no	—
414	C₂×C₄×C₁₁	—	4	4	no	—
415	C₂×C₄×C₁₁	—	8	2	no	—
416	C₂×C₄×C₁₁	—	8	4	no	—
417	C₂×C₄×C₁₁	—	8	4	no	—
418	C₂×C₄×C₁₁	—	8	1	no	—
419	C₂×C₄×C₁₁	#135	1	4	yes	complemented
420	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
421	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
422	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
423	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
424	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
425	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
426	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
427	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
428	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
429	C₈×C₁₁	—	2	2	no	—
430	C₈×C₁₁	—	2	4	no	—
431	C₈×C₁₁	—	2	2	no	—
432	C₂×#135	C₂²×C₁₁	1	4	yes	complemented
433	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
434	#559	—	2	1	no	—
435	#559	—	2	1	no	—
436	#559	C₂²×C₁₁	1	2	yes	—
437	#559	C₂²×C₁₁	1	1	yes	characteristic, complemented
438	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
439	#556	—	2	1	no	—
440	#556	C₂²×C₁₁	1	1	yes	characteristic, complemented
441	#553	—	2	2	no	—
442	#553	C₂²×C₁₁	1	2	yes	—
443	#550	—	2	1	no	—
444	#550	C₂²×C₁₁	1	2	yes	—
445	#550	C₂²×C₁₁	1	1	yes	characteristic, complemented
446	#548	C₂²×C₁₁	1	2	yes	—
447	#546	—	2	2	no	—
448	#546	C₂²×C₁₁	1	4	yes	—
449	#540	—	2	2	no	—
450	#535	—	2	1	no	—
451	#533	C₂²×C₁₁	1	1	yes	characteristic
452	#532	—	2	1	no	—
453	#532	C₂²×C₁₁	1	2	yes	—
454	#532	C₂²×C₁₁	1	2	yes	—
455	#532	C₂²×C₁₁	1	1	yes	characteristic
456	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
457	#529	—	2	2	no	—
458	#529	C₂²×C₁₁	1	2	yes	complemented
459	#518	—	2	1	no	—
460	C₄×#41	—	2	1	no	—
461	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
462	C₄×#41	C₂²×C₁₁	1	2	yes	complemented
463	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
464	#495	C₂²×C₁₁	1	4	yes	complemented
465	#493	C₂²×C₁₁	1	2	yes	—
466	#488	C₂²×C₁₁	1	4	yes	complemented
467	#486	C₂²×C₁₁	1	2	yes	—
468	#484	C₂²×C₁₁	1	2	yes	—
469	#482	C₂²×C₁₁	1	4	yes	complemented
470	#478	C₂²×C₁₁	1	4	yes	complemented
471	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
472	#477	C₂²×C₁₁	1	1	yes	characteristic, complemented
473	#476	C₂²×C₁₁	1	2	yes	complemented
474	#475	C₂²×C₁₁	1	2	yes	complemented
475	#466	C₂²×C₁₁	1	4	yes	complemented
476	#465	C₂²×C₁₁	1	4	yes	—
477	#465	C₂²×C₁₁	1	4	yes	complemented
478	#464	C₂²×C₁₁	1	4	yes	complemented
479	#463	C₂²×C₁₁	1	4	yes	complemented
480	#463	C₂²×C₁₁	1	4	yes	complemented
481	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
482	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
483	#461	C₂²×C₁₁	1	2	yes	complemented
484	#460	C₂²×C₁₁	1	2	yes	—
485	#460	C₂²×C₁₁	1	2	yes	—
486	#460	C₂²×C₁₁	1	2	yes	—
487	#460	C₂²×C₁₁	1	2	yes	—
488	#460	C₂²×C₁₁	1	2	yes	complemented
489	#459	C₂²×C₁₁	1	2	yes	—
490	#459	C₂²×C₁₁	1	2	yes	—
491	#452	C₂²×C₁₁	1	4	yes	complemented
492	#451	C₂²×C₁₁	1	2	yes	—
493	#449	C₂²×C₁₁	1	4	yes	complemented
494	#449	C₂²×C₁₁	1	4	yes	complemented
495	#447	C₂²×C₁₁	1	4	yes	—
496	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
497	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
498	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
499	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
500	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
501	C₈×D₄	C₂²×C₁₁	1	4	yes	—
502	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
503	#431	C₂²×C₁₁	1	1	yes	characteristic
504	#431	C₂²×C₁₁	1	2	yes	complemented
505	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
506	C₂×C₄⋊C₈	C₂²×C₁₁	1	2	yes	complemented
507	#416	C₂²×C₁₁	1	4	yes	complemented
508	C₂×#102	C₂²×C₁₁	1	2	yes	—
509	C₂²×C₁₁	—	2	1	no	—
510	C₂²×C₁₁	—	2	1	no	—
511	C₂²×C₁₁	—	2	2	no	—
512	C₂²×C₁₁	—	2	2	no	—
513	C₂²×C₁₁	—	2	2	no	—
514	C₂²×C₁₁	—	4	4	no	—
515	C₂²×C₁₁	—	4	2	no	—
516	C₂²×C₁₁	—	4	2	no	—
517	C₂²×C₁₁	—	4	4	no	—
518	C₂²×C₁₁	—	4	2	no	—
519	C₂²×C₁₁	—	4	4	no	—
520	C₂²×C₁₁	—	16	4	no	—
521	C₂²×C₁₁	C₂×#135	1	2	yes	—
522	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
523	C₄×C₁₁	—	2	1	no	—
524	C₄×C₁₁	—	2	2	no	—
525	C₄×C₁₁	—	2	1	no	—
526	C₄×C₁₁	—	2	2	no	—
527	C₄×C₁₁	—	2	1	no	—
528	C₄×C₁₁	—	2	2	no	—
529	C₄×C₁₁	—	2	2	no	—
530	C₄×C₁₁	—	4	1	no	—
531	C₄×C₁₁	—	4	2	no	—
532	C₄×C₁₁	—	4	1	no	—
533	C₄×C₁₁	—	4	1	no	—
534	C₄×C₁₁	—	4	2	no	—
535	C₄×C₁₁	—	4	2	no	—
536	C₄×C₁₁	C₂×#135	1	2	yes	—
537	C₄×C₁₁	C₂×#135	1	2	yes	—
538	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
539	C₄×C₁₁	#585	1	1	yes	characteristic
540	C₂×#41	—	2	1	no	—
541	C₂×#41	—	2	2	no	—
542	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
543	C₂×#41	C₂³×C₁₁	1	2	yes	—
544	C₂×#41	C₂³×C₁₁	1	4	yes	—
545	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
546	C₂²×D₄	—	2	1	no	—
547	C₂²×D₄	—	2	1	no	—
548	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
549	#135	—	4	8	no	—
550	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
551	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
552	C₂×SD₁₆	—	4	4	no	—
553	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
554	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
555	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
556	C₂×D₈	C₂³×C₁₁	1	4	yes	—
557	C₂×D₈	C₂³×C₁₁	1	4	yes	—
558	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
559	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
560	C₄⋊Q₈	—	2	1	no	—
561	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
562	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
563	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
564	#127	—	2	1	no	—
565	#127	—	2	2	no	—
566	#127	—	2	1	no	—
567	#127	—	2	1	no	—
568	#127	C₂³×C₁₁	1	2	yes	—
569	#127	C₂³×C₁₁	1	2	yes	—
570	#127	C₂³×C₁₁	1	1	yes	characteristic
571	#126	—	2	2	no	—
572	#126	—	2	2	no	—
573	#126	—	2	2	no	—
574	#125	—	2	2	no	—
575	#125	—	2	1	no	—
576	#125	C₂³×C₁₁	1	2	yes	—
577	#124	—	2	1	no	—
578	#124	—	2	2	no	—
579	#124	—	2	1	no	—
580	#124	—	2	2	no	—
581	#124	—	2	2	no	—
582	#124	—	2	1	no	—
583	#124	C₂³×C₁₁	1	2	yes	—
584	#124	C₂³×C₁₁	1	4	yes	—
585	#123	—	2	2	no	—
586	#123	—	2	2	no	—
587	#123	—	2	4	no	—
588	#123	—	2	4	no	—
589	#123	—	2	2	no	—
590	C₂²⋊Q₈	—	2	1	no	—
591	C₂²⋊Q₈	—	2	2	no	—
592	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
593	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
594	#121	—	2	2	no	—
595	#121	—	2	2	no	—
596	#121	—	2	2	no	—
597	#121	—	2	2	no	—
598	#121	—	2	2	no	—
599	#121	—	2	1	no	—
600	#121	—	2	2	no	—
601	#121	—	2	4	no	—
602	#121	—	2	4	no	—
603	#121	C₂³×C₁₁	1	2	yes	—
604	#121	C₂³×C₁₁	1	4	yes	—
605	#121	C₂³×C₁₁	1	2	yes	—
606	#120	—	2	4	no	—
607	C₄×Q₈	—	2	1	no	—
608	C₄×Q₈	—	2	1	no	—
609	C₄×Q₈	—	2	1	no	—
610	C₄×Q₈	—	2	1	no	—
611	C₄×Q₈	—	2	1	no	—
612	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
613	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
614	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
615	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
616	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
617	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
618	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
619	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
620	C₄×D₄	—	2	2	no	—
621	C₄×D₄	—	2	2	no	—
622	C₄×D₄	—	2	2	no	—
623	C₄×D₄	—	2	1	no	—
624	C₄×D₄	—	2	1	no	—
625	C₄×D₄	—	2	2	no	—
626	C₄×D₄	—	2	2	no	—
627	C₄×D₄	—	2	2	no	—
628	C₄×D₄	—	2	2	no	—
629	C₄×D₄	—	2	2	no	—
630	C₄×D₄	—	2	2	no	—
631	C₄×D₄	—	2	1	no	—
632	C₄×D₄	—	2	2	no	—
633	C₄×D₄	D₄×C₁₁	1	2	yes	—
634	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
635	C₄×D₄	C₂³×C₁₁	1	2	yes	—
636	C₄×D₄	C₂³×C₁₁	1	2	yes	—
637	C₄×D₄	C₂³×C₁₁	1	4	yes	—
638	C₄×D₄	C₂³×C₁₁	1	2	yes	—
639	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
640	#117	—	2	1	no	—
641	#117	—	2	2	no	—
642	#117	—	2	2	no	—
643	#117	D₄×C₁₁	1	1	yes	characteristic
644	#117	D₄×C₁₁	1	2	yes	—
645	#117	C₂³×C₁₁	1	2	yes	—
646	C₂×C₄⋊C₄	—	2	1	no	—
647	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
648	C₂×C₂²⋊C₄	—	2	4	no	—
649	C₂×C₄²	—	2	1	no	—
650	C₂×C₄²	—	2	2	no	—
651	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
652	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
653	#107	C₂³×C₁₁	1	2	yes	—
654	#107	C₂³×C₁₁	1	2	yes	—
655	#106	C₂³×C₁₁	1	4	yes	—
656	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
657	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
658	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
659	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
660	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
661	#103	C₂³×C₁₁	1	2	yes	—
662	#103	C₂³×C₁₁	1	4	yes	—
663	#103	C₂³×C₁₁	1	2	yes	—
664	#103	C₂³×C₁₁	1	2	yes	—
665	#103	C₂³×C₁₁	1	2	yes	—
666	#102	C₂³×C₁₁	1	4	yes	—
667	#102	C₂³×C₁₁	1	4	yes	—
668	#102	C₂³×C₁₁	1	4	yes	—
669	#102	C₂³×C₁₁	1	4	yes	—
670	#102	C₂³×C₁₁	1	4	yes	—
671	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
672	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
673	C₄×C₈	C₂³×C₁₁	1	2	yes	—
674	C₄×C₈	C₂³×C₁₁	1	4	yes	—
675	C₂×C₁₁	—	2	2	no	—
676	C₂×C₁₁	—	4	2	no	—
677	C₂×C₁₁	—	8	2	no	—
678	C₂×C₁₁	—	8	4	no	—
679	C₂×C₁₁	#3488	1	1	yes	characteristic
680	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
681	C₂×C₁₁	#3585	1	1	yes	characteristic
682	C₂⁴	—	2	2	no	—
683	#41	—	2	4	no	—
684	#41	—	2	4	no	—
685	#41	—	4	2	no	—
686	#41	—	4	4	no	—
687	#41	—	4	4	no	—
688	#41	—	4	4	no	—
689	#41	—	8	4	no	—
690	C₂×Q₈	—	2	1	no	—
691	C₂×Q₈	—	2	1	no	—
692	C₂×Q₈	—	2	1	no	—
693	C₂×Q₈	—	2	2	no	—
694	C₂×Q₈	—	4	1	no	—
695	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
696	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
697	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
698	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
699	C₂×D₄	—	2	2	no	—
700	C₂×D₄	—	2	2	no	—
701	C₂×D₄	—	2	2	no	—
702	C₂×D₄	—	2	4	no	—
703	C₂×D₄	—	2	4	no	—
704	C₂×D₄	—	2	2	no	—
705	C₂×D₄	—	2	1	no	—
706	C₂×D₄	—	2	2	no	—
707	C₂×D₄	—	2	2	no	—
708	C₂×D₄	—	2	1	no	—
709	C₂×D₄	—	2	2	no	—
710	C₂×D₄	—	2	2	no	—
711	C₂×D₄	—	4	2	no	—
712	C₂×D₄	—	4	2	no	—
713	C₂×D₄	—	4	4	no	—
714	C₂×D₄	—	8	2	no	—
715	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
716	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
717	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
718	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
719	C₂²×C₄	—	2	1	no	—
720	C₂²×C₄	—	2	1	no	—
721	C₂²×C₄	—	2	2	no	—
722	C₂²×C₄	—	2	2	no	—
723	C₂²×C₄	—	2	2	no	—
724	C₂²×C₄	—	2	4	no	—
725	C₂²×C₄	—	2	4	no	—
726	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
727	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
728	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
729	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
730	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
731	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
732	Q₁₆	—	2	4	no	—
733	Q₁₆	—	4	2	no	—
734	SD₁₆	—	2	8	no	—
735	SD₁₆	—	4	4	no	—
736	SD₁₆	—	4	4	no	—
737	D₈	—	4	4	no	—
738	D₈	—	4	4	no	—
739	C₂×C₈	—	4	2	no	—
740	C₂×C₈	—	4	4	no	—
741	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
742	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
743	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
744	C₄⋊C₄	—	2	1	no	—
745	C₄⋊C₄	—	2	1	no	—
746	C₄⋊C₄	—	2	1	no	—
747	C₄⋊C₄	—	2	1	no	—
748	C₄⋊C₄	—	2	1	no	—
749	C₄⋊C₄	—	2	1	no	—
750	C₄⋊C₄	—	2	1	no	—
751	C₄⋊C₄	—	2	2	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	2	no	—
754	C₄⋊C₄	—	2	1	no	—
755	C₄⋊C₄	—	2	1	no	—
756	C₄⋊C₄	—	2	2	no	—
757	C₄⋊C₄	—	2	2	no	—
758	C₄⋊C₄	—	2	2	no	—
759	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
760	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
761	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
762	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
763	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
764	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
765	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
766	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
767	C₂²⋊C₄	—	2	2	no	—
768	C₂²⋊C₄	—	2	2	no	—
769	C₂²⋊C₄	—	2	2	no	—
770	C₂²⋊C₄	—	2	4	no	—
771	C₂²⋊C₄	—	2	4	no	—
772	C₂²⋊C₄	—	2	2	no	—
773	C₂²⋊C₄	—	2	2	no	—
774	C₂²⋊C₄	—	2	2	no	—
775	C₂²⋊C₄	—	2	2	no	—
776	C₂²⋊C₄	—	2	4	no	—
777	C₂²⋊C₄	—	2	2	no	—
778	C₂²⋊C₄	—	2	2	no	—
779	C₂²⋊C₄	—	2	4	no	—
780	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
781	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
782	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
783	C₄²	—	2	1	no	—
784	C₄²	—	2	1	no	—
785	C₄²	—	2	2	no	—
786	C₄²	—	2	2	no	—
787	C₄²	—	2	1	no	—
788	C₄²	—	2	1	no	—
789	C₄²	—	2	2	no	—
790	C₄²	C₂×D₄×C₁₁	1	2	yes	—
791	C₄²	C₂×D₄×C₁₁	1	2	yes	—
792	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
793	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
794	C₄²	C₂⁴×C₁₁	1	2	yes	—
795	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
796	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
797	C₁₁	#61953	1	1	yes	characteristic, direct product factor, Sylow
798	C₂³	—	2	2	no	—
799	C₂³	—	2	4	no	—
800	C₂³	—	4	4	no	—
801	C₂³	—	8	2	no	—
802	C₂³	—	8	2	no	—
803	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
804	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
805	Q₈	—	2	2	no	—
806	Q₈	—	2	1	no	—
807	Q₈	—	2	1	no	—
808	Q₈	—	2	2	no	—
809	Q₈	—	2	1	no	—
810	Q₈	—	2	2	no	—
811	Q₈	—	4	2	no	—
812	Q₈	—	4	2	no	—
813	Q₈	—	4	2	no	—
814	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
815	D₄	—	2	4	no	—
816	D₄	—	2	2	no	—
817	D₄	—	2	2	no	—
818	D₄	—	2	4	no	—
819	D₄	—	2	2	no	—
820	D₄	—	2	4	no	—
821	D₄	—	4	4	no	—
822	D₄	—	4	4	no	—
823	D₄	—	4	4	no	—
824	D₄	—	4	4	no	—
825	D₄	—	4	4	no	—
826	D₄	—	4	2	no	—
827	D₄	—	8	1	no	—
828	D₄	—	8	2	no	—
829	D₄	—	8	2	no	—
830	D₄	—	8	2	no	—
831	D₄	—	8	4	no	—
832	D₄	—	8	4	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	4	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	2	no	—
837	C₂×C₄	—	2	1	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	1	no	—
840	C₂×C₄	—	2	1	no	—
841	C₂×C₄	—	2	2	no	—
842	C₂×C₄	—	2	1	no	—
843	C₂×C₄	—	2	2	no	—
844	C₂×C₄	—	2	2	no	—
845	C₂×C₄	—	4	1	no	—
846	C₂×C₄	—	4	2	no	—
847	C₂×C₄	—	4	4	no	—
848	C₂×C₄	—	4	2	no	—
849	C₂×C₄	—	4	4	no	—
850	C₂×C₄	—	8	2	no	—
851	C₂×C₄	—	8	4	no	—
852	C₂×C₄	—	8	4	no	—
853	C₂×C₄	—	8	1	no	—
854	C₂×C₄	C₁₁×#135	1	4	yes	complemented
855	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
856	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
857	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
858	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
859	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
860	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
861	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
862	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
863	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
864	C₈	—	2	2	no	—
865	C₈	—	2	4	no	—
866	C₈	—	2	2	no	—
867	C₂²	—	2	1	no	—
868	C₂²	—	2	1	no	—
869	C₂²	—	2	2	no	—
870	C₂²	—	2	2	no	—
871	C₂²	—	2	2	no	—
872	C₂²	—	4	2	no	—
873	C₂²	—	4	4	no	—
874	C₂²	—	4	2	no	—
875	C₂²	—	4	4	no	—
876	C₂²	—	4	4	no	—
877	C₂²	—	4	2	no	—
878	C₂²	—	16	4	no	—
879	C₂²	C₂×C₁₁×#135	1	2	yes	—
880	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
881	C₄	—	2	2	no	—
882	C₄	—	2	1	no	—
883	C₄	—	2	2	no	—
884	C₄	—	2	2	no	—
885	C₄	—	2	1	no	—
886	C₄	—	2	2	no	—
887	C₄	—	2	1	no	—
888	C₄	—	4	1	no	—
889	C₄	—	4	2	no	—
890	C₄	—	4	2	no	—
891	C₄	—	4	1	no	—
892	C₄	—	4	2	no	—
893	C₄	—	4	1	no	—
894	C₄	C₂×C₁₁×#135	1	2	yes	—
895	C₄	C₂×C₁₁×#135	1	2	yes	—
896	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
897	C₄	C₁₁×#585	1	1	yes	characteristic
898	C₂	—	2	2	no	—
899	C₂	—	4	2	no	—
900	C₂	—	8	4	no	—
901	C₂	—	8	2	no	—
902	C₂	C₁₁×#3488	1	1	yes	characteristic
903	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
904	C₂	C₁₁×#3585	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×#3508	C₂	semidirect
2. C₁₁×#3480	C₂	semidirect
3. C₁₁×#3396	C₂	semidirect
4. C₁₁×#3365	C₂	semidirect
5. C₁₁×#3304	C₂	semidirect
6. C₁₁×#3297	C₂	semidirect
7. C₁₁×#3287	C₂	semidirect
8. C₁₁×#3282	C₂	semidirect
9. C₁₁×#3247	C₂	semidirect
10. C₁₁×#3246	C₂	semidirect
11. C₁₁×#3212	C₂	semidirect
12. C₁₁×#3205	C₂	semidirect
13. C₁₁×#3106	C₂	semidirect
14. C₁₁×#3104	C₂	semidirect
15. C₁₁×#3035	C₂	semidirect
16. C₂×C₁₁×#460	C₂	semidirect
17. C₁₁×#2988	C₂	semidirect
18. C₂×C₁₁×#135	C₂²	semidirect
23. C₁₁×#559	C₂²	semidirect
24. C₁₁×#557	C₂²	semidirect
26. C₁₁×#556	C₂²	semidirect
31. C₁₁×#550	C₂²	semidirect
44. C₁₁×#529	C₂²	semidirect
48. C₄×C₁₁×#41	C₂²	semidirect
50. C₁₁×#495	C₂²	semidirect
52. C₁₁×#488	C₂²	semidirect
55. C₁₁×#482	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#477	C₂²	semidirect
58. C₁₁×#477	C₂²	semidirect
59. C₁₁×#476	C₂²	semidirect
60. C₁₁×#475	C₂²	semidirect
61. C₁₁×#466	C₂²	semidirect
63. C₁₁×#465	C₂²	semidirect
64. C₁₁×#464	C₂²	semidirect
65. C₁₁×#463	C₂²	semidirect
66. C₁₁×#463	C₂²	semidirect
67. C₁₁×#462	C₂²	semidirect
68. C₁₁×#462	C₂²	semidirect
69. C₁₁×#461	C₂²	semidirect
74. C₁₁×#460	C₂²	semidirect
77. C₁₁×#452	C₂²	semidirect
79. C₁₁×#449	C₂²	semidirect
80. C₁₁×#449	C₂²	semidirect
82. C₈×Q₈×C₁₁	C₂²	semidirect
83. C₄×C₁₁×Q₁₆	C₂²	semidirect
84. C₄×C₁₁×Q₁₆	C₂²	semidirect
85. C₄×C₁₁×SD₁₆	C₂²	semidirect
86. C₄×C₁₁×D₈	C₂²	semidirect
88. C₈×D₄×C₁₁	C₂²	semidirect
90. C₁₁×#431	C₂²	semidirect
92. C₂×C₁₁×C₄⋊C₈	C₂²	semidirect
93. C₁₁×#416	C₂²	semidirect
230. #61953	C₁₁	direct (N × H)
346. #3508	C₂×C₁₁	semidirect
347. #3480	C₂×C₁₁	semidirect
348. #3396	C₂×C₁₁	semidirect
349. #3365	C₂×C₁₁	semidirect
350. #3304	C₂×C₁₁	semidirect
351. #3297	C₂×C₁₁	semidirect
352. #3287	C₂×C₁₁	semidirect
353. #3282	C₂×C₁₁	semidirect
354. #3247	C₂×C₁₁	semidirect
355. #3246	C₂×C₁₁	semidirect
356. #3212	C₂×C₁₁	semidirect
357. #3205	C₂×C₁₁	semidirect
358. #3106	C₂×C₁₁	semidirect
359. #3104	C₂×C₁₁	semidirect
360. #3035	C₂×C₁₁	semidirect
361. C₂×#460	C₂×C₁₁	semidirect
362. #2988	C₂×C₁₁	semidirect
419. C₂×C₄×C₁₁	#135	semidirect
432. C₂×#135	C₂²×C₁₁	semidirect
437. #559	C₂²×C₁₁	semidirect
438. #557	C₂²×C₁₁	semidirect
440. #556	C₂²×C₁₁	semidirect
445. #550	C₂²×C₁₁	semidirect
458. #529	C₂²×C₁₁	semidirect
462. C₄×#41	C₂²×C₁₁	semidirect
464. #495	C₂²×C₁₁	semidirect
466. #488	C₂²×C₁₁	semidirect
469. #482	C₂²×C₁₁	semidirect
470. #478	C₂²×C₁₁	semidirect
471. #477	C₂²×C₁₁	semidirect
472. #477	C₂²×C₁₁	semidirect
473. #476	C₂²×C₁₁	semidirect
474. #475	C₂²×C₁₁	semidirect
475. #466	C₂²×C₁₁	semidirect
477. #465	C₂²×C₁₁	semidirect
478. #464	C₂²×C₁₁	semidirect
479. #463	C₂²×C₁₁	semidirect
480. #463	C₂²×C₁₁	semidirect
481. #462	C₂²×C₁₁	semidirect
482. #462	C₂²×C₁₁	semidirect
483. #461	C₂²×C₁₁	semidirect
488. #460	C₂²×C₁₁	semidirect
491. #452	C₂²×C₁₁	semidirect
493. #449	C₂²×C₁₁	semidirect
494. #449	C₂²×C₁₁	semidirect
496. C₈×Q₈	C₂²×C₁₁	semidirect
497. C₄×Q₁₆	C₂²×C₁₁	semidirect
498. C₄×Q₁₆	C₂²×C₁₁	semidirect
499. C₄×SD₁₆	C₂²×C₁₁	semidirect
500. C₄×D₈	C₂²×C₁₁	semidirect
502. C₈×D₄	C₂²×C₁₁	semidirect
504. #431	C₂²×C₁₁	semidirect
506. C₂×C₄⋊C₈	C₂²×C₁₁	semidirect
507. #416	C₂²×C₁₁	semidirect
797. C₁₁	#61953	direct (N × H)
854. C₂×C₄	C₁₁×#135	semidirect

Maximal subgroups

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

subgroup	index
C₁₁×#3508	2
C₁₁×#3480	2
C₁₁×#3396	2
C₁₁×#3365	2
C₁₁×#3304	2
C₁₁×#3297	2
C₁₁×#3287	2
C₁₁×#3282	2
C₁₁×#3247	2
C₁₁×#3246	2
C₁₁×#3212	2
C₁₁×#3205	2
C₁₁×#3106	2
C₁₁×#3104	2
C₁₁×#3035	2
C₂×C₁₁×#460	2
C₁₁×#2988	2
#61953	11

Subgroups — C11×#61953 #14639146

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61953 #14639146