Subgroups — C₁₁×#61997 #14639190

Order 2816.

1904 conjugacy classes of subgroups.

The subgroup lattice has 900 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×#3482	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3394	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3365	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3332	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3323	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3278	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3275	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3255	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3251	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3212	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3208	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3107	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#3103	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3038	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#3037	C₂	1	2	yes	maximal, complemented
17	C₁₁×#2991	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	4	yes	complemented
19	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
20	C₁₁×#559	—	2	1	no	—
21	C₁₁×#559	C₂²	1	2	yes	—
22	C₁₁×#557	C₂²	1	1	yes	characteristic, complemented
23	C₁₁×#556	—	2	1	no	—
24	C₁₁×#556	C₂²	1	1	yes	characteristic, complemented
25	C₁₁×#552	—	2	2	no	—
26	C₁₁×#552	C₂²	1	2	yes	—
27	C₁₁×#550	—	2	1	no	—
28	C₁₁×#550	C₂²	1	2	yes	—
29	D₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#548	C₂²	1	2	yes	—
31	C₁₁×#547	—	2	1	no	—
32	C₁₁×#547	C₂²	1	1	yes	characteristic, complemented
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	—	2	1	no	—
38	C₁₁×#533	C₂²	1	1	yes	characteristic
39	C₁₁×#533	C₂²	1	1	yes	characteristic
40	C₁₁×#532	C₂²	1	2	yes	—
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	1	yes	characteristic
49	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	complemented
50	C₁₁×#495	C₂²	1	4	yes	complemented
51	C₁₁×#492	C₂²	1	2	yes	—
52	C₁₁×#488	C₂²	1	4	yes	complemented
53	C₁₁×#486	C₂²	1	2	yes	—
54	C₁₁×#485	C₂²	1	2	yes	—
55	C₁₁×#481	C₂²	1	4	yes	complemented
56	C₁₁×#478	C₂²	1	4	yes	complemented
57	C₁₁×#475	C₂²	1	2	yes	complemented
58	C₁₁×#475	C₂²	1	2	yes	complemented
59	C₁₁×#475	C₂²	1	1	yes	characteristic, complemented
60	C₁₁×#474	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#470	C₂²	1	4	yes	—
62	C₁₁×#469	C₂²	1	4	yes	complemented
63	C₁₁×#468	C₂²	1	4	yes	complemented
64	C₁₁×#464	C₂²	1	4	yes	complemented
65	C₁₁×#464	C₂²	1	4	yes	complemented
66	C₁₁×#463	C₂²	1	4	yes	complemented
67	C₁₁×#462	C₂²	1	2	yes	complemented
68	C₁₁×#462	C₂²	1	2	yes	complemented
69	C₁₁×#462	C₂²	1	1	yes	characteristic, complemented
70	C₁₁×#461	C₂²	1	1	yes	characteristic, complemented
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	—
75	C₁₁×#459	C₂²	1	2	yes	—
76	C₁₁×#459	C₂²	1	2	yes	—
77	C₁₁×#452	C₂²	1	2	yes	—
78	C₁₁×#452	C₂²	1	4	yes	complemented
79	C₁₁×#450	C₂²	1	4	yes	—
80	C₁₁×#449	C₂²	1	4	yes	complemented
81	C₁₁×#448	C₂²	1	4	yes	complemented
82	C₈×Q₈×C₁₁	C₂²	1	2	yes	complemented
83	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	complemented
84	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
85	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
86	C₄×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
87	C₁₁×#436	C₂²	1	4	yes	—
88	C₁₁×#436	C₂²	1	2	yes	complemented
89	C₁₁×#431	C₂²	1	1	yes	characteristic
90	C₁₁×#431	C₂²	1	2	yes	complemented
91	C₁₁×#423	C₂²	1	1	yes	characteristic
92	C₁₁×#423	C₂²	1	2	yes	complemented
93	C₁₁×#418	C₂²	1	2	yes	—
94	C₁₁×#417	C₂²	1	4	yes	complemented
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	1	yes	characteristic
99	C₂×C₁₁×#41	C₂³	1	4	yes	—
100	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
101	C₂²×D₄×C₁₁	—	2	1	no	—
102	C₂²×D₄×C₁₁	—	2	1	no	—
103	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
104	C₁₁×#137	—	4	8	no	—
105	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
106	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
107	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
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×SD₁₆	C₂³	1	2	yes	—
112	C₂×C₁₁×D₈	C₂³	1	4	yes	—
113	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
114	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
115	C₁₁×C₄⋊Q₈	—	2	1	no	—
116	C₁₁×C₄⋊Q₈	—	2	1	no	—
117	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
118	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
119	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
120	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
121	C₁₁×#127	—	2	2	no	—
122	C₁₁×#127	—	2	1	no	—
123	C₁₁×#127	—	2	1	no	—
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	2	no	—
131	C₁₁×#125	—	2	1	no	—
132	C₁₁×#125	—	2	1	no	—
133	C₁₁×#125	C₂³	1	2	yes	—
134	C₁₁×#124	—	2	2	no	—
135	C₁₁×#124	—	2	2	no	—
136	C₁₁×#124	—	2	2	no	—
137	C₁₁×#124	C₂³	1	2	yes	—
138	C₁₁×#124	C₂³	1	4	yes	—
139	C₁₁×#123	—	2	2	no	—
140	C₁₁×#123	—	2	2	no	—
141	C₁₁×#123	—	2	4	no	—
142	C₁₁×#123	—	2	4	no	—
143	C₁₁×#123	—	2	2	no	—
144	C₁₁×C₂²⋊Q₈	—	2	1	no	—
145	C₁₁×C₂²⋊Q₈	—	2	1	no	—
146	C₁₁×C₂²⋊Q₈	—	2	1	no	—
147	C₁₁×C₂²⋊Q₈	—	2	1	no	—
148	C₁₁×C₂²⋊Q₈	—	2	2	no	—
149	C₁₁×C₂²⋊Q₈	—	2	2	no	—
150	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
151	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
152	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
153	C₁₁×#121	—	2	2	no	—
154	C₁₁×#121	—	2	2	no	—
155	C₁₁×#121	—	2	2	no	—
156	C₁₁×#121	—	2	2	no	—
157	C₁₁×#121	—	2	4	no	—
158	C₁₁×#121	—	2	4	no	—
159	C₁₁×#121	C₂³	1	2	yes	—
160	C₁₁×#121	C₂³	1	4	yes	—
161	C₁₁×#120	—	2	4	no	—
162	C₄×Q₈×C₁₁	—	2	1	no	—
163	C₄×Q₈×C₁₁	—	2	2	no	—
164	C₄×Q₈×C₁₁	—	2	2	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	2	yes	—
170	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
171	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
172	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
173	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
174	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
175	C₄×D₄×C₁₁	—	2	1	no	—
176	C₄×D₄×C₁₁	—	2	2	no	—
177	C₄×D₄×C₁₁	—	2	1	no	—
178	C₄×D₄×C₁₁	—	2	1	no	—
179	C₄×D₄×C₁₁	—	2	2	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	D₄	1	1	yes	characteristic
186	C₄×D₄×C₁₁	D₄	1	2	yes	—
187	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
188	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
189	C₄×D₄×C₁₁	C₂³	1	4	yes	—
190	C₄×D₄×C₁₁	C₂³	1	2	yes	—
191	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
192	C₁₁×#117	—	2	1	no	—
193	C₁₁×#117	—	2	1	no	—
194	C₁₁×#117	—	2	1	no	—
195	C₁₁×#117	—	2	2	no	—
196	C₁₁×#117	—	2	1	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	1	yes	characteristic
201	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
203	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
204	C₂×C₄²×C₁₁	—	2	2	no	—
205	C₂×C₄²×C₁₁	—	2	1	no	—
206	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
207	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
208	C₁₁×#107	C₂³	1	2	yes	—
209	C₁₁×#106	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	4	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	2	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	#61997	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
231	C₂⁴×C₁₁	—	2	2	no	—
232	C₁₁×#41	—	2	2	no	—
233	C₁₁×#41	—	4	2	no	—
234	C₁₁×#41	—	4	1	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	2	no	—
240	C₂×Q₈×C₁₁	—	2	1	no	—
241	C₂×Q₈×C₁₁	—	2	1	no	—
242	C₂×Q₈×C₁₁	—	2	4	no	—
243	C₂×Q₈×C₁₁	—	4	2	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	2	yes	—
247	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₂×D₄×C₁₁	—	2	1	no	—
249	C₂×D₄×C₁₁	—	2	2	no	—
250	C₂×D₄×C₁₁	—	2	4	no	—
251	C₂×D₄×C₁₁	—	2	4	no	—
252	C₂×D₄×C₁₁	—	2	2	no	—
253	C₂×D₄×C₁₁	—	2	2	no	—
254	C₂×D₄×C₁₁	—	2	2	no	—
255	C₂×D₄×C₁₁	—	2	2	no	—
256	C₂×D₄×C₁₁	—	2	2	no	—
257	C₂×D₄×C₁₁	—	4	2	no	—
258	C₂×D₄×C₁₁	—	4	2	no	—
259	C₂×D₄×C₁₁	—	4	4	no	—
260	C₂×D₄×C₁₁	—	8	2	no	—
261	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
262	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
263	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
264	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	—	2	2	no	—
266	C₂²×C₄×C₁₁	—	2	2	no	—
267	C₂²×C₄×C₁₁	—	2	1	no	—
268	C₂²×C₄×C₁₁	—	2	1	no	—
269	C₂²×C₄×C₁₁	—	2	1	no	—
270	C₂²×C₄×C₁₁	—	2	4	no	—
271	C₂²×C₄×C₁₁	—	2	4	no	—
272	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
273	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
274	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
275	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
276	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
277	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
278	C₁₁×Q₁₆	—	2	4	no	—
279	C₁₁×Q₁₆	—	4	4	no	—
280	C₁₁×SD₁₆	—	2	8	no	—
281	C₁₁×SD₁₆	—	4	2	no	—
282	C₁₁×SD₁₆	—	4	4	no	—
283	C₁₁×SD₁₆	—	4	4	no	—
284	C₁₁×D₈	—	4	4	no	—
285	C₁₁×M₁₆	—	4	2	no	—
286	C₁₁×M₁₆	—	4	4	no	—
287	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
288	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
289	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
290	C₁₁×C₄⋊C₄	—	2	1	no	—
291	C₁₁×C₄⋊C₄	—	2	2	no	—
292	C₁₁×C₄⋊C₄	—	2	2	no	—
293	C₁₁×C₄⋊C₄	—	2	2	no	—
294	C₁₁×C₄⋊C₄	—	2	2	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	2	no	—
299	C₁₁×C₄⋊C₄	—	2	2	no	—
300	C₁₁×C₄⋊C₄	—	2	1	no	—
301	C₁₁×C₄⋊C₄	—	2	1	no	—
302	C₁₁×C₄⋊C₄	—	2	2	no	—
303	C₁₁×C₄⋊C₄	—	2	1	no	—
304	C₁₁×C₄⋊C₄	—	2	2	no	—
305	C₁₁×C₄⋊C₄	—	2	1	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	1	yes	characteristic
313	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
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	1	no	—
320	C₁₁×C₂²⋊C₄	—	2	4	no	—
321	C₁₁×C₂²⋊C₄	—	2	4	no	—
322	C₁₁×C₂²⋊C₄	—	2	2	no	—
323	C₁₁×C₂²⋊C₄	—	2	1	no	—
324	C₁₁×C₂²⋊C₄	—	2	1	no	—
325	C₁₁×C₂²⋊C₄	—	2	2	no	—
326	C₁₁×C₂²⋊C₄	—	2	2	no	—
327	C₁₁×C₂²⋊C₄	—	2	4	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	2	no	—
338	C₄²×C₁₁	—	2	2	no	—
339	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
340	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
341	C₄²×C₁₁	C₂×D₄	1	2	yes	—
342	C₄²×C₁₁	C₂×D₄	1	2	yes	—
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	#3482	C₂×C₁₁	1	1	yes	characteristic, complemented
348	#3394	C₂×C₁₁	1	2	yes	complemented
349	#3365	C₂×C₁₁	1	2	yes	complemented
350	#3332	C₂×C₁₁	1	2	yes	complemented
351	#3323	C₂×C₁₁	1	4	yes	complemented
352	#3278	C₂×C₁₁	1	2	yes	complemented
353	#3275	C₂×C₁₁	1	4	yes	complemented
354	#3255	C₂×C₁₁	1	1	yes	characteristic, complemented
355	#3251	C₂×C₁₁	1	2	yes	complemented
356	#3212	C₂×C₁₁	1	2	yes	complemented
357	#3208	C₂×C₁₁	1	1	yes	characteristic, complemented
358	#3107	C₂×C₁₁	1	1	yes	characteristic, complemented
359	#3103	C₂×C₁₁	1	2	yes	complemented
360	#3038	C₂×C₁₁	1	1	yes	characteristic, complemented
361	#3037	C₂×C₁₁	1	2	yes	complemented
362	#2991	C₂×C₁₁	1	1	yes	characteristic, complemented
363	C₂³×C₁₁	—	2	1	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	1	yes	characteristic
369	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
370	Q₈×C₁₁	—	2	2	no	—
371	Q₈×C₁₁	—	2	1	no	—
372	Q₈×C₁₁	—	2	2	no	—
373	Q₈×C₁₁	—	2	2	no	—
374	Q₈×C₁₁	—	2	2	no	—
375	Q₈×C₁₁	—	2	2	no	—
376	Q₈×C₁₁	—	4	4	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	2	no	—
381	D₄×C₁₁	—	2	1	no	—
382	D₄×C₁₁	—	2	4	no	—
383	D₄×C₁₁	—	2	1	no	—
384	D₄×C₁₁	—	2	4	no	—
385	D₄×C₁₁	—	4	2	no	—
386	D₄×C₁₁	—	4	2	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	—	8	2	no	—
392	D₄×C₁₁	—	8	2	no	—
393	D₄×C₁₁	—	8	4	no	—
394	D₄×C₁₁	—	8	4	no	—
395	C₂×C₄×C₁₁	—	2	1	no	—
396	C₂×C₄×C₁₁	—	2	2	no	—
397	C₂×C₄×C₁₁	—	2	2	no	—
398	C₂×C₄×C₁₁	—	2	4	no	—
399	C₂×C₄×C₁₁	—	2	1	no	—
400	C₂×C₄×C₁₁	—	2	2	no	—
401	C₂×C₄×C₁₁	—	2	1	no	—
402	C₂×C₄×C₁₁	—	2	2	no	—
403	C₂×C₄×C₁₁	—	2	1	no	—
404	C₂×C₄×C₁₁	—	2	1	no	—
405	C₂×C₄×C₁₁	—	2	2	no	—
406	C₂×C₄×C₁₁	—	2	2	no	—
407	C₂×C₄×C₁₁	—	2	2	no	—
408	C₂×C₄×C₁₁	—	2	2	no	—
409	C₂×C₄×C₁₁	—	4	2	no	—
410	C₂×C₄×C₁₁	—	4	2	no	—
411	C₂×C₄×C₁₁	—	4	4	no	—
412	C₂×C₄×C₁₁	—	4	4	no	—
413	C₂×C₄×C₁₁	—	4	2	no	—
414	C₂×C₄×C₁₁	—	4	2	no	—
415	C₂×C₄×C₁₁	—	8	4	no	—
416	C₂×C₄×C₁₁	—	8	4	no	—
417	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
418	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
419	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
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	1	yes	characteristic
425	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
426	C₈×C₁₁	—	2	4	no	—
427	C₈×C₁₁	—	2	2	no	—
428	C₈×C₁₁	—	2	2	no	—
429	C₂×#137	C₂²×C₁₁	1	4	yes	complemented
430	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
431	#559	—	2	1	no	—
432	#559	C₂²×C₁₁	1	2	yes	—
433	#557	C₂²×C₁₁	1	1	yes	characteristic, complemented
434	#556	—	2	1	no	—
435	#556	C₂²×C₁₁	1	1	yes	characteristic, complemented
436	#552	—	2	2	no	—
437	#552	C₂²×C₁₁	1	2	yes	—
438	#550	—	2	1	no	—
439	#550	C₂²×C₁₁	1	2	yes	—
440	D₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
441	#548	C₂²×C₁₁	1	2	yes	—
442	#547	—	2	1	no	—
443	#547	C₂²×C₁₁	1	1	yes	characteristic, complemented
444	#546	—	2	2	no	—
445	#546	C₂²×C₁₁	1	4	yes	—
446	#540	—	2	2	no	—
447	#535	—	2	1	no	—
448	#533	—	2	1	no	—
449	#533	C₂²×C₁₁	1	1	yes	characteristic
450	#533	C₂²×C₁₁	1	1	yes	characteristic
451	#532	C₂²×C₁₁	1	2	yes	—
452	#532	C₂²×C₁₁	1	2	yes	—
453	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
454	#529	—	2	2	no	—
455	#529	C₂²×C₁₁	1	2	yes	complemented
456	#518	—	2	1	no	—
457	C₄×#41	—	2	1	no	—
458	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
459	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
460	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	complemented
461	#495	C₂²×C₁₁	1	4	yes	complemented
462	#492	C₂²×C₁₁	1	2	yes	—
463	#488	C₂²×C₁₁	1	4	yes	complemented
464	#486	C₂²×C₁₁	1	2	yes	—
465	#485	C₂²×C₁₁	1	2	yes	—
466	#481	C₂²×C₁₁	1	4	yes	complemented
467	#478	C₂²×C₁₁	1	4	yes	complemented
468	#475	C₂²×C₁₁	1	2	yes	complemented
469	#475	C₂²×C₁₁	1	1	yes	characteristic, complemented
470	#475	C₂²×C₁₁	1	2	yes	complemented
471	#474	C₂²×C₁₁	1	1	yes	characteristic, complemented
472	#470	C₂²×C₁₁	1	4	yes	—
473	#469	C₂²×C₁₁	1	4	yes	complemented
474	#468	C₂²×C₁₁	1	4	yes	complemented
475	#464	C₂²×C₁₁	1	4	yes	complemented
476	#464	C₂²×C₁₁	1	4	yes	complemented
477	#463	C₂²×C₁₁	1	4	yes	complemented
478	#462	C₂²×C₁₁	1	1	yes	characteristic, complemented
479	#462	C₂²×C₁₁	1	2	yes	complemented
480	#462	C₂²×C₁₁	1	2	yes	complemented
481	#461	C₂²×C₁₁	1	1	yes	characteristic, complemented
482	#460	C₂²×C₁₁	1	2	yes	—
483	#460	C₂²×C₁₁	1	2	yes	—
484	#460	C₂²×C₁₁	1	2	yes	—
485	#460	C₂²×C₁₁	1	2	yes	—
486	#459	C₂²×C₁₁	1	2	yes	—
487	#459	C₂²×C₁₁	1	2	yes	—
488	#452	C₂²×C₁₁	1	2	yes	—
489	#452	C₂²×C₁₁	1	4	yes	complemented
490	#450	C₂²×C₁₁	1	4	yes	—
491	#449	C₂²×C₁₁	1	4	yes	complemented
492	#448	C₂²×C₁₁	1	4	yes	complemented
493	C₈×Q₈	C₂²×C₁₁	1	2	yes	complemented
494	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	complemented
495	C₄×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
496	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
497	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
498	#436	C₂²×C₁₁	1	4	yes	—
499	#436	C₂²×C₁₁	1	2	yes	complemented
500	#431	C₂²×C₁₁	1	1	yes	characteristic
501	#431	C₂²×C₁₁	1	2	yes	complemented
502	#423	C₂²×C₁₁	1	1	yes	characteristic
503	#423	C₂²×C₁₁	1	2	yes	complemented
504	#418	C₂²×C₁₁	1	2	yes	—
505	#417	C₂²×C₁₁	1	4	yes	complemented
506	C₂²×C₁₁	—	2	2	no	—
507	C₂²×C₁₁	—	2	1	no	—
508	C₂²×C₁₁	—	2	1	no	—
509	C₂²×C₁₁	—	2	2	no	—
510	C₂²×C₁₁	—	2	2	no	—
511	C₂²×C₁₁	—	2	1	no	—
512	C₂²×C₁₁	—	4	1	no	—
513	C₂²×C₁₁	—	4	4	no	—
514	C₂²×C₁₁	—	4	1	no	—
515	C₂²×C₁₁	—	4	4	no	—
516	C₂²×C₁₁	—	4	1	no	—
517	C₂²×C₁₁	—	4	4	no	—
518	C₂²×C₁₁	—	16	4	no	—
519	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
520	C₄×C₁₁	—	2	1	no	—
521	C₄×C₁₁	—	2	2	no	—
522	C₄×C₁₁	—	2	2	no	—
523	C₄×C₁₁	—	2	1	no	—
524	C₄×C₁₁	—	2	2	no	—
525	C₄×C₁₁	—	2	2	no	—
526	C₄×C₁₁	—	2	1	no	—
527	C₄×C₁₁	—	4	2	no	—
528	C₄×C₁₁	—	4	2	no	—
529	C₄×C₁₁	—	4	1	no	—
530	C₄×C₁₁	—	4	2	no	—
531	C₄×C₁₁	—	4	1	no	—
532	C₄×C₁₁	—	4	2	no	—
533	C₄×C₁₁	#575	1	2	yes	—
534	C₄×C₁₁	#577	1	2	yes	—
535	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
536	C₄×C₁₁	#585	1	1	yes	characteristic
537	C₂×#41	—	2	1	no	—
538	C₂×#41	—	2	2	no	—
539	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
540	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
541	C₂×#41	C₂³×C₁₁	1	4	yes	—
542	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
543	C₂²×D₄	—	2	1	no	—
544	C₂²×D₄	—	2	1	no	—
545	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
546	#137	—	4	8	no	—
547	AGL(1,ℤ/8)	—	4	4	no	—
548	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
549	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
550	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
551	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
552	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
553	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
554	C₂×D₈	C₂³×C₁₁	1	4	yes	—
555	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
556	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
557	C₄⋊Q₈	—	2	1	no	—
558	C₄⋊Q₈	—	2	1	no	—
559	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
560	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
561	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
562	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
563	#127	—	2	2	no	—
564	#127	—	2	1	no	—
565	#127	—	2	1	no	—
566	#127	C₂³×C₁₁	1	2	yes	—
567	#127	C₂³×C₁₁	1	2	yes	—
568	#126	—	2	2	no	—
569	#126	—	2	2	no	—
570	#126	—	2	2	no	—
571	#125	—	2	2	no	—
572	#125	—	2	2	no	—
573	#125	—	2	1	no	—
574	#125	—	2	1	no	—
575	#125	C₂³×C₁₁	1	2	yes	—
576	#124	—	2	2	no	—
577	#124	—	2	2	no	—
578	#124	—	2	2	no	—
579	#124	C₂³×C₁₁	1	2	yes	—
580	#124	C₂³×C₁₁	1	4	yes	—
581	#123	—	2	2	no	—
582	#123	—	2	2	no	—
583	#123	—	2	4	no	—
584	#123	—	2	4	no	—
585	#123	—	2	2	no	—
586	C₂²⋊Q₈	—	2	1	no	—
587	C₂²⋊Q₈	—	2	1	no	—
588	C₂²⋊Q₈	—	2	1	no	—
589	C₂²⋊Q₈	—	2	1	no	—
590	C₂²⋊Q₈	—	2	2	no	—
591	C₂²⋊Q₈	—	2	2	no	—
592	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
593	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
594	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
595	#121	—	2	2	no	—
596	#121	—	2	2	no	—
597	#121	—	2	2	no	—
598	#121	—	2	2	no	—
599	#121	—	2	4	no	—
600	#121	—	2	4	no	—
601	#121	C₂³×C₁₁	1	2	yes	—
602	#121	C₂³×C₁₁	1	4	yes	—
603	#120	—	2	4	no	—
604	C₄×Q₈	—	2	1	no	—
605	C₄×Q₈	—	2	2	no	—
606	C₄×Q₈	—	2	2	no	—
607	C₄×Q₈	—	2	1	no	—
608	C₄×Q₈	—	2	1	no	—
609	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
610	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
611	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
612	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
613	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
614	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
615	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
616	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
617	C₄×D₄	—	2	1	no	—
618	C₄×D₄	—	2	2	no	—
619	C₄×D₄	—	2	1	no	—
620	C₄×D₄	—	2	1	no	—
621	C₄×D₄	—	2	2	no	—
622	C₄×D₄	—	2	2	no	—
623	C₄×D₄	—	2	2	no	—
624	C₄×D₄	—	2	2	no	—
625	C₄×D₄	—	2	2	no	—
626	C₄×D₄	—	2	2	no	—
627	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
628	C₄×D₄	D₄×C₁₁	1	2	yes	—
629	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
630	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
631	C₄×D₄	C₂³×C₁₁	1	4	yes	—
632	C₄×D₄	C₂³×C₁₁	1	2	yes	—
633	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
634	#117	—	2	1	no	—
635	#117	—	2	1	no	—
636	#117	—	2	1	no	—
637	#117	—	2	2	no	—
638	#117	—	2	1	no	—
639	#117	—	2	2	no	—
640	#117	D₄×C₁₁	1	1	yes	characteristic
641	#117	D₄×C₁₁	1	2	yes	—
642	#117	C₂³×C₁₁	1	1	yes	characteristic
643	C₂×C₄⋊C₄	—	2	2	no	—
644	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
645	C₂×C₂²⋊C₄	—	2	4	no	—
646	C₂×C₄²	—	2	2	no	—
647	C₂×C₄²	—	2	1	no	—
648	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
649	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
650	#107	C₂³×C₁₁	1	2	yes	—
651	#106	C₂³×C₁₁	1	2	yes	—
652	#106	C₂³×C₁₁	1	4	yes	—
653	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
654	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
655	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
656	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
657	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
658	#103	C₂³×C₁₁	1	2	yes	—
659	#103	C₂³×C₁₁	1	4	yes	—
660	#103	C₂³×C₁₁	1	2	yes	—
661	#103	C₂³×C₁₁	1	4	yes	—
662	#103	C₂³×C₁₁	1	2	yes	—
663	#102	C₂³×C₁₁	1	4	yes	—
664	#102	C₂³×C₁₁	1	4	yes	—
665	#102	C₂³×C₁₁	1	4	yes	—
666	#102	C₂³×C₁₁	1	4	yes	—
667	#102	C₂³×C₁₁	1	2	yes	—
668	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
669	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
670	C₄×C₈	C₂³×C₁₁	1	2	yes	—
671	C₄×C₈	C₂³×C₁₁	1	4	yes	—
672	C₂×C₁₁	—	4	2	no	—
673	C₂×C₁₁	—	4	1	no	—
674	C₂×C₁₁	—	8	1	no	—
675	C₂×C₁₁	—	8	4	no	—
676	C₂×C₁₁	#3488	1	1	yes	characteristic
677	C₂×C₁₁	C₂×#575	1	1	yes	characteristic
678	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
679	C₂⁴	—	2	2	no	—
680	#41	—	2	2	no	—
681	#41	—	4	2	no	—
682	#41	—	4	1	no	—
683	#41	—	4	4	no	—
684	#41	—	4	4	no	—
685	#41	—	4	4	no	—
686	#41	—	8	4	no	—
687	C₂×Q₈	—	2	2	no	—
688	C₂×Q₈	—	2	1	no	—
689	C₂×Q₈	—	2	1	no	—
690	C₂×Q₈	—	2	4	no	—
691	C₂×Q₈	—	4	2	no	—
692	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
693	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
694	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
695	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
696	C₂×D₄	—	2	1	no	—
697	C₂×D₄	—	2	2	no	—
698	C₂×D₄	—	2	4	no	—
699	C₂×D₄	—	2	4	no	—
700	C₂×D₄	—	2	2	no	—
701	C₂×D₄	—	2	2	no	—
702	C₂×D₄	—	2	2	no	—
703	C₂×D₄	—	2	2	no	—
704	C₂×D₄	—	2	2	no	—
705	C₂×D₄	—	4	2	no	—
706	C₂×D₄	—	4	2	no	—
707	C₂×D₄	—	4	4	no	—
708	C₂×D₄	—	8	2	no	—
709	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
710	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
711	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
712	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
713	C₂²×C₄	—	2	2	no	—
714	C₂²×C₄	—	2	2	no	—
715	C₂²×C₄	—	2	1	no	—
716	C₂²×C₄	—	2	1	no	—
717	C₂²×C₄	—	2	1	no	—
718	C₂²×C₄	—	2	4	no	—
719	C₂²×C₄	—	2	4	no	—
720	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
721	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
722	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
723	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
724	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
725	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
726	Q₁₆	—	2	4	no	—
727	Q₁₆	—	4	4	no	—
728	SD₁₆	—	2	8	no	—
729	SD₁₆	—	4	4	no	—
730	SD₁₆	—	4	2	no	—
731	SD₁₆	—	4	4	no	—
732	D₈	—	4	4	no	—
733	M₁₆	—	4	2	no	—
734	M₁₆	—	4	4	no	—
735	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
736	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
737	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
738	C₄⋊C₄	—	2	1	no	—
739	C₄⋊C₄	—	2	2	no	—
740	C₄⋊C₄	—	2	2	no	—
741	C₄⋊C₄	—	2	2	no	—
742	C₄⋊C₄	—	2	2	no	—
743	C₄⋊C₄	—	2	1	no	—
744	C₄⋊C₄	—	2	1	no	—
745	C₄⋊C₄	—	2	1	no	—
746	C₄⋊C₄	—	2	2	no	—
747	C₄⋊C₄	—	2	2	no	—
748	C₄⋊C₄	—	2	1	no	—
749	C₄⋊C₄	—	2	1	no	—
750	C₄⋊C₄	—	2	2	no	—
751	C₄⋊C₄	—	2	1	no	—
752	C₄⋊C₄	—	2	2	no	—
753	C₄⋊C₄	—	2	1	no	—
754	C₄⋊C₄	—	2	2	no	—
755	C₄⋊C₄	—	2	2	no	—
756	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
757	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
758	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
759	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
760	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
761	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
762	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
763	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
764	C₂²⋊C₄	—	2	2	no	—
765	C₂²⋊C₄	—	2	2	no	—
766	C₂²⋊C₄	—	2	2	no	—
767	C₂²⋊C₄	—	2	1	no	—
768	C₂²⋊C₄	—	2	4	no	—
769	C₂²⋊C₄	—	2	4	no	—
770	C₂²⋊C₄	—	2	2	no	—
771	C₂²⋊C₄	—	2	1	no	—
772	C₂²⋊C₄	—	2	1	no	—
773	C₂²⋊C₄	—	2	2	no	—
774	C₂²⋊C₄	—	2	2	no	—
775	C₂²⋊C₄	—	2	4	no	—
776	C₂²⋊C₄	—	2	4	no	—
777	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
778	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
779	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
780	C₄²	—	2	1	no	—
781	C₄²	—	2	1	no	—
782	C₄²	—	2	2	no	—
783	C₄²	—	2	2	no	—
784	C₄²	—	2	1	no	—
785	C₄²	—	2	2	no	—
786	C₄²	—	2	2	no	—
787	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
788	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
789	C₄²	C₂×D₄×C₁₁	1	2	yes	—
790	C₄²	C₂×D₄×C₁₁	1	2	yes	—
791	C₄²	C₂⁴×C₁₁	1	2	yes	—
792	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
793	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
794	C₁₁	#61997	1	1	yes	characteristic, direct product factor, Sylow
795	C₂³	—	2	1	no	—
796	C₂³	—	2	4	no	—
797	C₂³	—	4	4	no	—
798	C₂³	—	8	2	no	—
799	C₂³	—	8	2	no	—
800	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
801	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
802	Q₈	—	2	2	no	—
803	Q₈	—	2	1	no	—
804	Q₈	—	2	2	no	—
805	Q₈	—	2	2	no	—
806	Q₈	—	2	2	no	—
807	Q₈	—	2	2	no	—
808	Q₈	—	4	4	no	—
809	Q₈	—	4	2	no	—
810	Q₈	—	4	2	no	—
811	Q₈	C₁₁×H(5,𝔽₂)	1	2	yes	—
812	D₄	—	2	2	no	—
813	D₄	—	2	1	no	—
814	D₄	—	2	4	no	—
815	D₄	—	2	1	no	—
816	D₄	—	2	4	no	—
817	D₄	—	4	2	no	—
818	D₄	—	4	2	no	—
819	D₄	—	4	4	no	—
820	D₄	—	4	4	no	—
821	D₄	—	4	4	no	—
822	D₄	—	4	4	no	—
823	D₄	—	8	2	no	—
824	D₄	—	8	2	no	—
825	D₄	—	8	4	no	—
826	D₄	—	8	4	no	—
827	C₂×C₄	—	2	1	no	—
828	C₂×C₄	—	2	2	no	—
829	C₂×C₄	—	2	2	no	—
830	C₂×C₄	—	2	4	no	—
831	C₂×C₄	—	2	1	no	—
832	C₂×C₄	—	2	2	no	—
833	C₂×C₄	—	2	1	no	—
834	C₂×C₄	—	2	2	no	—
835	C₂×C₄	—	2	1	no	—
836	C₂×C₄	—	2	1	no	—
837	C₂×C₄	—	2	2	no	—
838	C₂×C₄	—	2	2	no	—
839	C₂×C₄	—	2	2	no	—
840	C₂×C₄	—	2	2	no	—
841	C₂×C₄	—	4	2	no	—
842	C₂×C₄	—	4	2	no	—
843	C₂×C₄	—	4	4	no	—
844	C₂×C₄	—	4	4	no	—
845	C₂×C₄	—	4	2	no	—
846	C₂×C₄	—	4	2	no	—
847	C₂×C₄	—	8	4	no	—
848	C₂×C₄	—	8	4	no	—
849	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
850	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
851	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
852	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
853	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
854	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
855	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
856	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
857	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
858	C₈	—	2	4	no	—
859	C₈	—	2	2	no	—
860	C₈	—	2	2	no	—
861	C₂²	—	2	2	no	—
862	C₂²	—	2	1	no	—
863	C₂²	—	2	1	no	—
864	C₂²	—	2	2	no	—
865	C₂²	—	2	2	no	—
866	C₂²	—	2	1	no	—
867	C₂²	—	4	1	no	—
868	C₂²	—	4	4	no	—
869	C₂²	—	4	1	no	—
870	C₂²	—	4	4	no	—
871	C₂²	—	4	1	no	—
872	C₂²	—	4	4	no	—
873	C₂²	—	16	4	no	—
874	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
875	C₄	—	2	1	no	—
876	C₄	—	2	2	no	—
877	C₄	—	2	2	no	—
878	C₄	—	2	1	no	—
879	C₄	—	2	2	no	—
880	C₄	—	2	2	no	—
881	C₄	—	2	1	no	—
882	C₄	—	4	2	no	—
883	C₄	—	4	2	no	—
884	C₄	—	4	1	no	—
885	C₄	—	4	2	no	—
886	C₄	—	4	1	no	—
887	C₄	—	4	2	no	—
888	C₄	C₁₁×#575	1	2	yes	—
889	C₄	C₁₁×#577	1	2	yes	—
890	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
891	C₄	C₁₁×#585	1	1	yes	characteristic
892	C₂	—	4	1	no	—
893	C₂	—	4	2	no	—
894	C₂	—	8	4	no	—
895	C₂	—	8	1	no	—
896	C₂	C₁₁×#3488	1	1	yes	characteristic
897	C₂	C₂×C₁₁×#575	1	1	yes	characteristic
898	C₂	C₂×C₁₁×#577	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×#3482	C₂	semidirect
3. C₁₁×#3394	C₂	semidirect
4. C₁₁×#3365	C₂	semidirect
5. C₁₁×#3332	C₂	semidirect
6. C₁₁×#3323	C₂	semidirect
7. C₁₁×#3278	C₂	semidirect
8. C₁₁×#3275	C₂	semidirect
9. C₁₁×#3255	C₂	semidirect
10. C₁₁×#3251	C₂	semidirect
11. C₁₁×#3212	C₂	semidirect
12. C₁₁×#3208	C₂	semidirect
13. C₁₁×#3107	C₂	semidirect
14. C₁₁×#3103	C₂	semidirect
15. C₁₁×#3038	C₂	semidirect
16. C₁₁×#3037	C₂	semidirect
17. C₁₁×#2991	C₂	semidirect
18. C₂×C₁₁×#137	C₂²	semidirect
22. C₁₁×#557	C₂²	semidirect
24. C₁₁×#556	C₂²	semidirect
29. D₄×Q₈×C₁₁	C₂²	semidirect
32. C₁₁×#547	C₂²	semidirect
44. C₁₁×#529	C₂²	semidirect
49. C₂×C₄×Q₈×C₁₁	C₂²	semidirect
50. C₁₁×#495	C₂²	semidirect
52. C₁₁×#488	C₂²	semidirect
55. C₁₁×#481	C₂²	semidirect
56. C₁₁×#478	C₂²	semidirect
57. C₁₁×#475	C₂²	semidirect
58. C₁₁×#475	C₂²	semidirect
59. C₁₁×#475	C₂²	semidirect
60. C₁₁×#474	C₂²	semidirect
62. C₁₁×#469	C₂²	semidirect
63. C₁₁×#468	C₂²	semidirect
64. C₁₁×#464	C₂²	semidirect
65. C₁₁×#464	C₂²	semidirect
66. C₁₁×#463	C₂²	semidirect
67. C₁₁×#462	C₂²	semidirect
68. C₁₁×#462	C₂²	semidirect
69. C₁₁×#462	C₂²	semidirect
70. C₁₁×#461	C₂²	semidirect
78. C₁₁×#452	C₂²	semidirect
80. C₁₁×#449	C₂²	semidirect
81. C₁₁×#448	C₂²	semidirect
82. C₈×Q₈×C₁₁	C₂²	semidirect
83. C₄×C₁₁×Q₁₆	C₂²	semidirect
84. C₄×C₁₁×SD₁₆	C₂²	semidirect
85. C₄×C₁₁×SD₁₆	C₂²	semidirect
86. C₄×C₁₁×SD₁₆	C₂²	semidirect
88. C₁₁×#436	C₂²	semidirect
90. C₁₁×#431	C₂²	semidirect
92. C₁₁×#423	C₂²	semidirect
94. C₁₁×#417	C₂²	semidirect
230. #61997	C₁₁	direct (N × H)
346. #3508	C₂×C₁₁	semidirect
347. #3482	C₂×C₁₁	semidirect
348. #3394	C₂×C₁₁	semidirect
349. #3365	C₂×C₁₁	semidirect
350. #3332	C₂×C₁₁	semidirect
351. #3323	C₂×C₁₁	semidirect
352. #3278	C₂×C₁₁	semidirect
353. #3275	C₂×C₁₁	semidirect
354. #3255	C₂×C₁₁	semidirect
355. #3251	C₂×C₁₁	semidirect
356. #3212	C₂×C₁₁	semidirect
357. #3208	C₂×C₁₁	semidirect
358. #3107	C₂×C₁₁	semidirect
359. #3103	C₂×C₁₁	semidirect
360. #3038	C₂×C₁₁	semidirect
361. #3037	C₂×C₁₁	semidirect
362. #2991	C₂×C₁₁	semidirect
429. C₂×#137	C₂²×C₁₁	semidirect
433. #557	C₂²×C₁₁	semidirect
435. #556	C₂²×C₁₁	semidirect
440. D₄×Q₈	C₂²×C₁₁	semidirect
443. #547	C₂²×C₁₁	semidirect
455. #529	C₂²×C₁₁	semidirect
460. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
461. #495	C₂²×C₁₁	semidirect
463. #488	C₂²×C₁₁	semidirect
466. #481	C₂²×C₁₁	semidirect
467. #478	C₂²×C₁₁	semidirect
468. #475	C₂²×C₁₁	semidirect
469. #475	C₂²×C₁₁	semidirect
470. #475	C₂²×C₁₁	semidirect
471. #474	C₂²×C₁₁	semidirect
473. #469	C₂²×C₁₁	semidirect
474. #468	C₂²×C₁₁	semidirect
475. #464	C₂²×C₁₁	semidirect
476. #464	C₂²×C₁₁	semidirect
477. #463	C₂²×C₁₁	semidirect
478. #462	C₂²×C₁₁	semidirect
479. #462	C₂²×C₁₁	semidirect
480. #462	C₂²×C₁₁	semidirect
481. #461	C₂²×C₁₁	semidirect
489. #452	C₂²×C₁₁	semidirect
491. #449	C₂²×C₁₁	semidirect
492. #448	C₂²×C₁₁	semidirect
493. C₈×Q₈	C₂²×C₁₁	semidirect
494. C₄×Q₁₆	C₂²×C₁₁	semidirect
495. C₄×SD₁₆	C₂²×C₁₁	semidirect
496. C₄×SD₁₆	C₂²×C₁₁	semidirect
497. C₄×SD₁₆	C₂²×C₁₁	semidirect
499. #436	C₂²×C₁₁	semidirect
501. #431	C₂²×C₁₁	semidirect
503. #423	C₂²×C₁₁	semidirect
505. #417	C₂²×C₁₁	semidirect
794. C₁₁	#61997	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×#3508	2
C₁₁×#3482	2
C₁₁×#3394	2
C₁₁×#3365	2
C₁₁×#3332	2
C₁₁×#3323	2
C₁₁×#3278	2
C₁₁×#3275	2
C₁₁×#3255	2
C₁₁×#3251	2
C₁₁×#3212	2
C₁₁×#3208	2
C₁₁×#3107	2
C₁₁×#3103	2
C₁₁×#3038	2
C₁₁×#3037	2
C₁₁×#2991	2
#61997	11

Subgroups — C11×#61997 #14639190

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61997 #14639190