Subgroups — C₁₁×#60565 #14637758

Order 2816.

2078 conjugacy classes of subgroups.

The subgroup lattice has 864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3455	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#520	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3125	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3124	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3120	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3119	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3092	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3078	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3077	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3037	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3036	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3005	C₂	1	2	yes	maximal, complemented
13	C₄×C₁₁×#137	C₂	1	2	yes	maximal, complemented
14	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2921	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
17	C₂×C₁₁×#137	C₂²	1	2	yes	—
18	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	—
19	C₁₁×#542	C₂²	1	2	yes	complemented
20	C₁₁×#542	C₂²	1	2	yes	complemented
21	C₁₁×#541	C₂²	1	2	yes	complemented
22	C₁₁×#540	C₂²	1	2	yes	complemented
23	C₁₁×#539	—	2	1	no	—
24	C₁₁×#539	—	2	1	no	—
25	C₁₁×#538	—	2	1	no	—
26	C₁₁×#538	—	2	1	no	—
27	C₁₁×#533	C₂²	1	1	yes	characteristic
28	C₁₁×#532	C₂²	1	1	yes	characteristic
29	C₁₁×#529	—	2	2	no	—
30	C₁₁×#529	—	2	2	no	—
31	C₁₁×#525	C₂²	1	2	yes	—
32	C₁₁×#520	—	2	2	no	—
33	C₁₁×#520	—	2	2	no	—
34	C₁₁×#520	C₂²	1	4	yes	—
35	C₁₁×#520	C₂²	1	4	yes	—
36	C₄×C₁₁×#41	C₂²	1	2	yes	—
37	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
38	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
39	C₂×C₄×D₄×C₁₁	—	2	1	no	—
40	C₂×C₄×D₄×C₁₁	—	2	1	no	—
41	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
43	C₂×C₁₁×#117	—	2	1	no	—
44	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
45	C₂²×C₁₁×C₄⋊C₄	—	2	1	no	—
46	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
47	C₁₁×#484	C₂²	1	4	yes	complemented
48	C₁₁×#483	C₂²	1	4	yes	complemented
49	C₁₁×#481	C₂²	1	4	yes	complemented
50	C₁₁×#480	C₂²	1	4	yes	complemented
51	C₁₁×#479	C₂²	1	4	yes	complemented
52	C₁₁×#478	C₂²	1	4	yes	complemented
53	C₁₁×#477	C₂²	1	2	yes	complemented
54	C₁₁×#476	C₂²	1	2	yes	complemented
55	C₁₁×#475	C₂²	1	2	yes	complemented
56	C₁₁×#474	C₂²	1	2	yes	complemented
57	C₁₁×#464	C₂²	1	4	yes	complemented
58	C₁₁×#463	C₂²	1	4	yes	complemented
59	C₁₁×#462	C₂²	1	2	yes	complemented
60	C₁₁×#461	C₂²	1	2	yes	complemented
61	C₁₁×#460	C₂²	1	2	yes	complemented
62	C₁₁×#459	C₂²	1	2	yes	complemented
63	C₁₁×#452	C₂²	1	4	yes	—
64	C₁₁×#452	C₂²	1	4	yes	—
65	C₁₁×#449	C₂²	1	4	yes	—
66	C₁₁×#449	C₂²	1	4	yes	—
67	C₁₁×#442	C₂²	1	4	yes	complemented
68	C₁₁×#441	C₂²	1	4	yes	complemented
69	C₁₁×#440	C₂²	1	4	yes	complemented
70	C₁₁×#440	C₂²	1	4	yes	complemented
71	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
72	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
73	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
74	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
75	C₁₁×#433	C₂²	1	4	yes	complemented
76	C₁₁×#433	C₂²	1	4	yes	complemented
77	C₁₁×#428	C₂²	1	2	yes	—
78	C₁₁×#428	C₂²	1	2	yes	—
79	C₁₁×#423	C₂²	1	1	yes	characteristic
80	C₁₁×#423	C₂²	1	1	yes	characteristic
81	C₁₁×#419	C₂²	1	2	yes	—
82	C₁₁×#418	C₂²	1	2	yes	—
83	C₁₁×#417	C₂²	1	2	yes	—
84	C₁₁×#417	C₂²	1	2	yes	—
85	C₁₁×#407	C₂²	1	2	yes	—
86	C₄×C₁₁×M₁₆	C₂²	1	2	yes	—
87	C₂×C₁₁×#41	—	2	4	no	—
88	C₂×C₁₁×#41	—	2	4	no	—
89	C₂×C₁₁×#41	—	2	2	no	—
90	C₂×C₁₁×#41	C₂³	1	2	yes	—
91	C₂×C₁₁×#41	C₂³	1	4	yes	—
92	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
93	C₂²×D₄×C₁₁	—	2	1	no	—
94	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₂³×C₄×C₁₁	—	2	1	no	—
96	C₂³×C₄×C₁₁	—	2	1	no	—
97	C₂³×C₄×C₁₁	—	2	1	no	—
98	C₂³×C₄×C₁₁	—	2	1	no	—
99	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
100	C₁₁×#137	—	2	8	no	—
101	C₁₁×AGL(1,ℤ/8)	—	2	8	no	—
102	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
103	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
104	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
105	C₂×C₁₁×D₈	C₂³	1	4	yes	—
106	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
107	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
108	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
109	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
110	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
111	C₁₁×#127	C₂³	1	1	yes	characteristic
112	C₁₁×#126	—	2	2	no	—
113	C₁₁×#126	—	2	2	no	—
114	C₁₁×#126	—	2	2	no	—
115	C₁₁×#126	—	2	2	no	—
116	C₁₁×#125	—	2	2	no	—
117	C₁₁×#125	—	2	2	no	—
118	C₁₁×#125	C₂³	1	2	yes	—
119	C₁₁×#124	—	2	2	no	—
120	C₁₁×#124	—	2	2	no	—
121	C₁₁×#124	C₂³	1	2	yes	—
122	C₁₁×#123	—	2	2	no	—
123	C₁₁×#123	—	2	2	no	—
124	C₁₁×#123	—	2	2	no	—
125	C₁₁×#123	—	2	2	no	—
126	C₁₁×#123	—	2	2	no	—
127	C₁₁×C₂²⋊Q₈	—	2	1	no	—
128	C₁₁×C₂²⋊Q₈	—	2	1	no	—
129	C₁₁×C₂²⋊Q₈	—	2	2	no	—
130	C₁₁×C₂²⋊Q₈	—	2	2	no	—
131	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
132	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
133	C₁₁×#121	—	2	1	no	—
134	C₁₁×#121	—	2	1	no	—
135	C₁₁×#121	—	2	2	no	—
136	C₁₁×#121	—	2	2	no	—
137	C₁₁×#121	C₂³	1	2	yes	—
138	C₁₁×#121	C₂³	1	2	yes	—
139	C₁₁×#120	—	2	2	no	—
140	C₄×Q₈×C₁₁	—	2	2	no	—
141	C₄×Q₈×C₁₁	—	2	1	no	—
142	C₄×Q₈×C₁₁	—	2	1	no	—
143	C₄×Q₈×C₁₁	—	2	1	no	—
144	C₄×Q₈×C₁₁	—	2	1	no	—
145	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
146	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
147	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
149	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	—	2	2	no	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	2	no	—
154	C₄×D₄×C₁₁	—	2	4	no	—
155	C₄×D₄×C₁₁	—	2	4	no	—
156	C₄×D₄×C₁₁	—	2	4	no	—
157	C₄×D₄×C₁₁	—	2	4	no	—
158	C₄×D₄×C₁₁	—	2	2	no	—
159	C₄×D₄×C₁₁	—	2	1	no	—
160	C₄×D₄×C₁₁	—	2	1	no	—
161	C₄×D₄×C₁₁	—	2	1	no	—
162	C₄×D₄×C₁₁	—	2	1	no	—
163	C₄×D₄×C₁₁	C₂³	1	4	yes	—
164	C₄×D₄×C₁₁	C₂³	1	2	yes	—
165	C₄×D₄×C₁₁	C₂³	1	2	yes	—
166	C₄×D₄×C₁₁	C₂³	1	2	yes	—
167	C₄×D₄×C₁₁	C₂³	1	2	yes	—
168	C₁₁×#117	—	2	4	no	—
169	C₁₁×#117	—	2	4	no	—
170	C₁₁×#117	—	2	2	no	—
171	C₁₁×#117	D₄	1	2	yes	—
172	C₁₁×#117	D₄	1	2	yes	—
173	C₁₁×#117	C₂³	1	2	yes	—
174	C₁₁×#117	C₂³	1	2	yes	—
175	C₁₁×#117	C₂³	1	2	yes	—
176	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
177	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
178	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
179	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
180	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
181	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
182	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
183	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
184	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
185	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
186	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
187	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
188	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
189	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
190	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
191	C₂×C₄²×C₁₁	—	2	1	no	—
192	C₂×C₄²×C₁₁	—	2	1	no	—
193	C₂×C₄²×C₁₁	—	2	2	no	—
194	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
195	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
196	C₁₁×#107	C₂³	1	4	yes	—
197	C₁₁×#107	C₂³	1	4	yes	—
198	C₁₁×#106	C₂³	1	4	yes	—
199	C₁₁×#106	C₂³	1	4	yes	—
200	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
201	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
202	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
203	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
204	C₁₁×#103	C₂³	1	4	yes	—
205	C₁₁×#103	C₂³	1	4	yes	—
206	C₁₁×#103	C₂³	1	4	yes	—
207	C₁₁×#103	C₂³	1	4	yes	—
208	C₁₁×#102	C₂³	1	4	yes	—
209	C₁₁×#102	C₂³	1	4	yes	—
210	C₁₁×#102	C₂³	1	4	yes	—
211	C₁₁×#102	C₂³	1	4	yes	—
212	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
213	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
214	C₁₁×#97	C₂³	1	4	yes	—
215	C₄×C₈×C₁₁	C₂³	1	4	yes	—
216	#60565	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
217	C₂⁴×C₁₁	—	2	1	no	—
218	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
219	C₁₁×#41	—	2	16	no	—
220	C₁₁×#41	—	2	8	no	—
221	C₁₁×#41	—	2	8	no	—
222	C₁₁×#41	—	2	4	no	—
223	C₁₁×#41	—	2	4	no	—
224	C₂×Q₈×C₁₁	—	2	1	no	—
225	C₂×Q₈×C₁₁	—	2	1	no	—
226	C₂×Q₈×C₁₁	—	2	1	no	—
227	C₂×Q₈×C₁₁	—	2	2	no	—
228	C₂×Q₈×C₁₁	#41	1	4	yes	—
229	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
230	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
231	C₂×D₄×C₁₁	—	2	8	no	—
232	C₂×D₄×C₁₁	—	2	4	no	—
233	C₂×D₄×C₁₁	—	2	2	no	—
234	C₂×D₄×C₁₁	—	2	2	no	—
235	C₂×D₄×C₁₁	—	2	2	no	—
236	C₂×D₄×C₁₁	—	2	1	no	—
237	C₂×D₄×C₁₁	—	2	1	no	—
238	C₂×D₄×C₁₁	—	2	1	no	—
239	C₂×D₄×C₁₁	—	2	2	no	—
240	C₂×D₄×C₁₁	#41	1	4	yes	—
241	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
242	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
243	C₂²×C₄×C₁₁	—	2	8	no	—
244	C₂²×C₄×C₁₁	—	2	1	no	—
245	C₂²×C₄×C₁₁	—	2	4	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	1	no	—
249	C₂²×C₄×C₁₁	—	2	1	no	—
250	C₂²×C₄×C₁₁	—	2	4	no	—
251	C₂²×C₄×C₁₁	—	2	2	no	—
252	C₂²×C₄×C₁₁	—	2	2	no	—
253	C₂²×C₄×C₁₁	—	2	2	no	—
254	C₂²×C₄×C₁₁	—	2	4	no	—
255	C₂²×C₄×C₁₁	—	2	2	no	—
256	C₂²×C₄×C₁₁	—	2	2	no	—
257	C₂²×C₄×C₁₁	—	8	2	no	—
258	C₂²×C₄×C₁₁	—	8	2	no	—
259	C₂²×C₄×C₁₁	—	8	2	no	—
260	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
261	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
262	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
266	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
267	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₁₁×Q₁₆	—	2	8	no	—
269	C₁₁×SD₁₆	—	2	8	no	—
270	C₁₁×SD₁₆	—	2	8	no	—
271	C₁₁×D₈	—	2	8	no	—
272	C₁₁×M₁₆	—	2	4	no	—
273	C₁₁×M₁₆	—	2	4	no	—
274	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
275	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
276	C₁₁×C₄⋊C₄	—	2	4	no	—
277	C₁₁×C₄⋊C₄	—	2	4	no	—
278	C₁₁×C₄⋊C₄	—	2	2	no	—
279	C₁₁×C₄⋊C₄	—	2	2	no	—
280	C₁₁×C₄⋊C₄	—	2	1	no	—
281	C₁₁×C₄⋊C₄	—	2	1	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	1	no	—
285	C₁₁×C₄⋊C₄	—	2	1	no	—
286	C₁₁×C₄⋊C₄	—	2	2	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	—	2	2	no	—
289	C₁₁×C₄⋊C₄	—	2	2	no	—
290	C₁₁×C₄⋊C₄	—	2	1	no	—
291	C₁₁×C₄⋊C₄	—	2	1	no	—
292	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
293	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
294	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
295	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
296	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
297	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
298	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
299	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
300	C₁₁×C₂²⋊C₄	—	2	2	no	—
301	C₁₁×C₂²⋊C₄	—	2	2	no	—
302	C₁₁×C₂²⋊C₄	—	2	2	no	—
303	C₁₁×C₂²⋊C₄	—	2	4	no	—
304	C₁₁×C₂²⋊C₄	—	2	2	no	—
305	C₁₁×C₂²⋊C₄	—	2	2	no	—
306	C₁₁×C₂²⋊C₄	—	2	2	no	—
307	C₁₁×C₂²⋊C₄	—	2	2	no	—
308	C₁₁×C₂²⋊C₄	—	2	2	no	—
309	C₁₁×C₂²⋊C₄	—	2	2	no	—
310	C₁₁×C₂²⋊C₄	—	2	2	no	—
311	C₁₁×C₂²⋊C₄	—	2	2	no	—
312	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
313	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
314	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
315	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
316	C₄²×C₁₁	—	2	4	no	—
317	C₄²×C₁₁	—	2	2	no	—
318	C₄²×C₁₁	—	2	2	no	—
319	C₄²×C₁₁	—	2	2	no	—
320	C₄²×C₁₁	—	2	2	no	—
321	C₄²×C₁₁	—	2	2	no	—
322	C₄²×C₁₁	C₂×D₄	1	2	yes	—
323	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
324	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
325	C₄²×C₁₁	C₂⁴	1	2	yes	—
326	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
327	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
328	#3455	C₂×C₁₁	1	1	yes	characteristic, complemented
329	C₂×#520	C₂×C₁₁	1	1	yes	characteristic, complemented
330	#3125	C₂×C₁₁	1	4	yes	complemented
331	#3124	C₂×C₁₁	1	4	yes	complemented
332	#3120	C₂×C₁₁	1	4	yes	complemented
333	#3119	C₂×C₁₁	1	4	yes	complemented
334	#3092	C₂×C₁₁	1	2	yes	complemented
335	#3078	C₂×C₁₁	1	1	yes	characteristic, complemented
336	#3077	C₂×C₁₁	1	1	yes	characteristic, complemented
337	#3037	C₂×C₁₁	1	1	yes	characteristic, complemented
338	#3036	C₂×C₁₁	1	1	yes	characteristic, complemented
339	#3005	C₂×C₁₁	1	2	yes	complemented
340	C₄×#137	C₂×C₁₁	1	2	yes	complemented
341	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	2	yes	complemented
342	#2921	C₂×C₁₁	1	1	yes	characteristic, complemented
343	C₂³×C₁₁	—	2	2	no	—
344	C₂³×C₁₁	—	2	4	no	—
345	C₂³×C₁₁	—	2	2	no	—
346	C₂³×C₁₁	—	2	2	no	—
347	C₂³×C₁₁	—	4	1	no	—
348	C₂³×C₁₁	—	4	1	no	—
349	C₂³×C₁₁	—	4	2	no	—
350	C₂³×C₁₁	—	4	2	no	—
351	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
352	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
353	Q₈×C₁₁	—	2	4	no	—
354	Q₈×C₁₁	—	2	2	no	—
355	Q₈×C₁₁	—	2	2	no	—
356	Q₈×C₁₁	—	2	2	no	—
357	Q₈×C₁₁	—	8	1	no	—
358	Q₈×C₁₁	—	8	1	no	—
359	Q₈×C₁₁	C₂×#41	1	4	yes	—
360	D₄×C₁₁	—	2	16	no	—
361	D₄×C₁₁	—	2	4	no	—
362	D₄×C₁₁	—	2	2	no	—
363	D₄×C₁₁	—	2	2	no	—
364	D₄×C₁₁	—	2	2	no	—
365	D₄×C₁₁	—	4	4	no	—
366	D₄×C₁₁	—	8	1	no	—
367	D₄×C₁₁	—	8	1	no	—
368	D₄×C₁₁	—	8	2	no	—
369	D₄×C₁₁	—	8	2	no	—
370	D₄×C₁₁	C₂×#41	1	4	yes	—
371	C₂×C₄×C₁₁	—	2	16	no	—
372	C₂×C₄×C₁₁	—	2	2	no	—
373	C₂×C₄×C₁₁	—	2	4	no	—
374	C₂×C₄×C₁₁	—	2	2	no	—
375	C₂×C₄×C₁₁	—	2	4	no	—
376	C₂×C₄×C₁₁	—	2	2	no	—
377	C₂×C₄×C₁₁	—	2	2	no	—
378	C₂×C₄×C₁₁	—	2	2	no	—
379	C₂×C₄×C₁₁	—	2	2	no	—
380	C₂×C₄×C₁₁	—	2	2	no	—
381	C₂×C₄×C₁₁	—	2	2	no	—
382	C₂×C₄×C₁₁	—	2	2	no	—
383	C₂×C₄×C₁₁	—	4	1	no	—
384	C₂×C₄×C₁₁	—	4	1	no	—
385	C₂×C₄×C₁₁	—	4	1	no	—
386	C₂×C₄×C₁₁	—	4	1	no	—
387	C₂×C₄×C₁₁	—	4	2	no	—
388	C₂×C₄×C₁₁	—	4	2	no	—
389	C₂×C₄×C₁₁	—	4	4	no	—
390	C₂×C₄×C₁₁	—	8	2	no	—
391	C₂×C₄×C₁₁	—	8	2	no	—
392	C₂×C₄×C₁₁	—	8	4	no	—
393	C₂×C₄×C₁₁	—	8	2	no	—
394	C₂×C₄×C₁₁	—	8	2	no	—
395	C₂×C₄×C₁₁	—	8	4	no	—
396	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
397	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
398	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
399	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
400	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
401	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
402	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
403	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
404	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
405	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
406	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
407	C₈×C₁₁	—	2	4	no	—
408	C₈×C₁₁	—	2	4	no	—
409	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
410	C₂×#137	C₂²×C₁₁	1	2	yes	—
411	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	—
412	#542	C₂²×C₁₁	1	2	yes	complemented
413	#542	C₂²×C₁₁	1	2	yes	complemented
414	#541	C₂²×C₁₁	1	2	yes	complemented
415	#540	C₂²×C₁₁	1	2	yes	complemented
416	#539	—	2	1	no	—
417	#539	—	2	1	no	—
418	#538	—	2	1	no	—
419	#538	—	2	1	no	—
420	#533	C₂²×C₁₁	1	1	yes	characteristic
421	#532	C₂²×C₁₁	1	1	yes	characteristic
422	#529	—	2	2	no	—
423	#529	—	2	2	no	—
424	#525	C₂²×C₁₁	1	2	yes	—
425	#520	—	2	2	no	—
426	#520	—	2	2	no	—
427	#520	C₂²×C₁₁	1	4	yes	—
428	#520	C₂²×C₁₁	1	4	yes	—
429	C₄×#41	C₂²×C₁₁	1	2	yes	—
430	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
431	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
432	C₂×C₄×D₄	—	2	1	no	—
433	C₂×C₄×D₄	—	2	1	no	—
434	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
435	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
436	C₂×#117	—	2	1	no	—
437	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
438	C₂²×C₄⋊C₄	—	2	1	no	—
439	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
440	#484	C₂²×C₁₁	1	4	yes	complemented
441	#483	C₂²×C₁₁	1	4	yes	complemented
442	#481	C₂²×C₁₁	1	4	yes	complemented
443	#480	C₂²×C₁₁	1	4	yes	complemented
444	#479	C₂²×C₁₁	1	4	yes	complemented
445	#478	C₂²×C₁₁	1	4	yes	complemented
446	#477	C₂²×C₁₁	1	2	yes	complemented
447	#476	C₂²×C₁₁	1	2	yes	complemented
448	#475	C₂²×C₁₁	1	2	yes	complemented
449	#474	C₂²×C₁₁	1	2	yes	complemented
450	#464	C₂²×C₁₁	1	4	yes	complemented
451	#463	C₂²×C₁₁	1	4	yes	complemented
452	#462	C₂²×C₁₁	1	2	yes	complemented
453	#461	C₂²×C₁₁	1	2	yes	complemented
454	#460	C₂²×C₁₁	1	2	yes	complemented
455	#459	C₂²×C₁₁	1	2	yes	complemented
456	#452	C₂²×C₁₁	1	4	yes	—
457	#452	C₂²×C₁₁	1	4	yes	—
458	#449	C₂²×C₁₁	1	4	yes	—
459	#449	C₂²×C₁₁	1	4	yes	—
460	#442	C₂²×C₁₁	1	4	yes	complemented
461	#441	C₂²×C₁₁	1	4	yes	complemented
462	#440	C₂²×C₁₁	1	4	yes	complemented
463	#440	C₂²×C₁₁	1	4	yes	complemented
464	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
465	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
466	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
467	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
468	#433	C₂²×C₁₁	1	4	yes	complemented
469	#433	C₂²×C₁₁	1	4	yes	complemented
470	#428	C₂²×C₁₁	1	2	yes	—
471	#428	C₂²×C₁₁	1	2	yes	—
472	#423	C₂²×C₁₁	1	1	yes	characteristic
473	#423	C₂²×C₁₁	1	1	yes	characteristic
474	#419	C₂²×C₁₁	1	2	yes	—
475	#418	C₂²×C₁₁	1	2	yes	—
476	#417	C₂²×C₁₁	1	2	yes	—
477	#417	C₂²×C₁₁	1	2	yes	—
478	#407	C₂²×C₁₁	1	2	yes	—
479	C₄×M₁₆	C₂²×C₁₁	1	2	yes	—
480	C₂²×C₁₁	—	2	1	no	—
481	C₂²×C₁₁	—	2	1	no	—
482	C₂²×C₁₁	—	2	2	no	—
483	C₂²×C₁₁	—	2	2	no	—
484	C₂²×C₁₁	—	2	2	no	—
485	C₂²×C₁₁	—	2	4	no	—
486	C₂²×C₁₁	—	4	4	no	—
487	C₂²×C₁₁	—	4	8	no	—
488	C₂²×C₁₁	—	4	2	no	—
489	C₂²×C₁₁	—	4	2	no	—
490	C₂²×C₁₁	—	4	2	no	—
491	C₂²×C₁₁	—	4	2	no	—
492	C₂²×C₁₁	—	4	2	no	—
493	C₂²×C₁₁	#525	1	2	yes	—
494	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
495	C₄×C₁₁	—	2	2	no	—
496	C₄×C₁₁	—	2	1	no	—
497	C₄×C₁₁	—	2	1	no	—
498	C₄×C₁₁	—	2	2	no	—
499	C₄×C₁₁	—	2	1	no	—
500	C₄×C₁₁	—	2	1	no	—
501	C₄×C₁₁	—	2	2	no	—
502	C₄×C₁₁	—	2	4	no	—
503	C₄×C₁₁	—	4	2	no	—
504	C₄×C₁₁	—	4	2	no	—
505	C₄×C₁₁	—	4	2	no	—
506	C₄×C₁₁	—	4	2	no	—
507	C₄×C₁₁	—	4	2	no	—
508	C₄×C₁₁	#525	1	2	yes	—
509	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
510	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
511	C₂×#41	—	2	4	no	—
512	C₂×#41	—	2	4	no	—
513	C₂×#41	—	2	2	no	—
514	C₂×#41	C₂³×C₁₁	1	2	yes	—
515	C₂×#41	C₂³×C₁₁	1	4	yes	—
516	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
517	C₂²×D₄	—	2	1	no	—
518	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
519	C₂³×C₄	—	2	1	no	—
520	C₂³×C₄	—	2	1	no	—
521	C₂³×C₄	—	2	1	no	—
522	C₂³×C₄	—	2	1	no	—
523	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
524	#137	—	2	8	no	—
525	AGL(1,ℤ/8)	—	2	8	no	—
526	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
527	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
528	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
529	C₂×D₈	C₂³×C₁₁	1	4	yes	—
530	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
531	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
532	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
533	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
534	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
535	#127	C₂³×C₁₁	1	1	yes	characteristic
536	#126	—	2	2	no	—
537	#126	—	2	2	no	—
538	#126	—	2	2	no	—
539	#126	—	2	2	no	—
540	#125	—	2	2	no	—
541	#125	—	2	2	no	—
542	#125	C₂³×C₁₁	1	2	yes	—
543	#124	—	2	2	no	—
544	#124	—	2	2	no	—
545	#124	C₂³×C₁₁	1	2	yes	—
546	#123	—	2	2	no	—
547	#123	—	2	2	no	—
548	#123	—	2	2	no	—
549	#123	—	2	2	no	—
550	#123	—	2	2	no	—
551	C₂²⋊Q₈	—	2	1	no	—
552	C₂²⋊Q₈	—	2	1	no	—
553	C₂²⋊Q₈	—	2	2	no	—
554	C₂²⋊Q₈	—	2	2	no	—
555	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
556	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
557	#121	—	2	1	no	—
558	#121	—	2	1	no	—
559	#121	—	2	2	no	—
560	#121	—	2	2	no	—
561	#121	C₂³×C₁₁	1	2	yes	—
562	#121	C₂³×C₁₁	1	2	yes	—
563	#120	—	2	2	no	—
564	C₄×Q₈	—	2	2	no	—
565	C₄×Q₈	—	2	1	no	—
566	C₄×Q₈	—	2	1	no	—
567	C₄×Q₈	—	2	1	no	—
568	C₄×Q₈	—	2	1	no	—
569	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
570	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
571	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
572	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
573	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
574	C₄×D₄	—	2	2	no	—
575	C₄×D₄	—	2	2	no	—
576	C₄×D₄	—	2	2	no	—
577	C₄×D₄	—	2	2	no	—
578	C₄×D₄	—	2	4	no	—
579	C₄×D₄	—	2	4	no	—
580	C₄×D₄	—	2	4	no	—
581	C₄×D₄	—	2	4	no	—
582	C₄×D₄	—	2	2	no	—
583	C₄×D₄	—	2	1	no	—
584	C₄×D₄	—	2	1	no	—
585	C₄×D₄	—	2	1	no	—
586	C₄×D₄	—	2	1	no	—
587	C₄×D₄	C₂³×C₁₁	1	4	yes	—
588	C₄×D₄	C₂³×C₁₁	1	2	yes	—
589	C₄×D₄	C₂³×C₁₁	1	2	yes	—
590	C₄×D₄	C₂³×C₁₁	1	2	yes	—
591	C₄×D₄	C₂³×C₁₁	1	2	yes	—
592	#117	—	2	4	no	—
593	#117	—	2	4	no	—
594	#117	—	2	2	no	—
595	#117	D₄×C₁₁	1	2	yes	—
596	#117	D₄×C₁₁	1	2	yes	—
597	#117	C₂³×C₁₁	1	2	yes	—
598	#117	C₂³×C₁₁	1	2	yes	—
599	#117	C₂³×C₁₁	1	2	yes	—
600	C₂×C₄⋊C₄	—	2	1	no	—
601	C₂×C₄⋊C₄	—	2	1	no	—
602	C₂×C₄⋊C₄	—	2	1	no	—
603	C₂×C₄⋊C₄	—	2	2	no	—
604	C₂×C₄⋊C₄	—	2	4	no	—
605	C₂×C₄⋊C₄	—	2	4	no	—
606	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
607	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
608	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
609	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
610	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
611	C₂×C₂²⋊C₄	—	2	1	no	—
612	C₂×C₂²⋊C₄	—	2	1	no	—
613	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
614	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
615	C₂×C₄²	—	2	1	no	—
616	C₂×C₄²	—	2	1	no	—
617	C₂×C₄²	—	2	2	no	—
618	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
619	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
620	#107	C₂³×C₁₁	1	4	yes	—
621	#107	C₂³×C₁₁	1	4	yes	—
622	#106	C₂³×C₁₁	1	4	yes	—
623	#106	C₂³×C₁₁	1	4	yes	—
624	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
625	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
626	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
627	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
628	#103	C₂³×C₁₁	1	4	yes	—
629	#103	C₂³×C₁₁	1	4	yes	—
630	#103	C₂³×C₁₁	1	4	yes	—
631	#103	C₂³×C₁₁	1	4	yes	—
632	#102	C₂³×C₁₁	1	4	yes	—
633	#102	C₂³×C₁₁	1	4	yes	—
634	#102	C₂³×C₁₁	1	4	yes	—
635	#102	C₂³×C₁₁	1	4	yes	—
636	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
637	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
638	#97	C₂³×C₁₁	1	4	yes	—
639	C₄×C₈	C₂³×C₁₁	1	4	yes	—
640	C₂×C₁₁	—	2	2	no	—
641	C₂×C₁₁	—	4	2	no	—
642	C₂×C₁₁	—	4	4	no	—
643	C₂×C₁₁	—	8	2	no	—
644	C₂×C₁₁	C₂×#525	1	1	yes	characteristic
645	C₂×C₁₁	#3585	1	1	yes	characteristic
646	C₂×C₁₁	#3586	1	1	yes	characteristic
647	C₂⁴	—	2	1	no	—
648	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
649	#41	—	2	16	no	—
650	#41	—	2	8	no	—
651	#41	—	2	8	no	—
652	#41	—	2	4	no	—
653	#41	—	2	4	no	—
654	C₂×Q₈	—	2	1	no	—
655	C₂×Q₈	—	2	1	no	—
656	C₂×Q₈	—	2	1	no	—
657	C₂×Q₈	—	2	2	no	—
658	C₂×Q₈	C₁₁×#41	1	4	yes	—
659	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
660	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
661	C₂×D₄	—	2	8	no	—
662	C₂×D₄	—	2	4	no	—
663	C₂×D₄	—	2	2	no	—
664	C₂×D₄	—	2	2	no	—
665	C₂×D₄	—	2	2	no	—
666	C₂×D₄	—	2	1	no	—
667	C₂×D₄	—	2	1	no	—
668	C₂×D₄	—	2	1	no	—
669	C₂×D₄	—	2	2	no	—
670	C₂×D₄	C₁₁×#41	1	4	yes	—
671	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
672	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
673	C₂²×C₄	—	2	8	no	—
674	C₂²×C₄	—	2	1	no	—
675	C₂²×C₄	—	2	4	no	—
676	C₂²×C₄	—	2	2	no	—
677	C₂²×C₄	—	2	2	no	—
678	C₂²×C₄	—	2	1	no	—
679	C₂²×C₄	—	2	1	no	—
680	C₂²×C₄	—	2	4	no	—
681	C₂²×C₄	—	2	2	no	—
682	C₂²×C₄	—	2	2	no	—
683	C₂²×C₄	—	2	2	no	—
684	C₂²×C₄	—	2	4	no	—
685	C₂²×C₄	—	2	2	no	—
686	C₂²×C₄	—	2	2	no	—
687	C₂²×C₄	—	8	2	no	—
688	C₂²×C₄	—	8	2	no	—
689	C₂²×C₄	—	8	2	no	—
690	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
691	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
692	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
693	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
694	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
695	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
696	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
697	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
698	Q₁₆	—	2	8	no	—
699	SD₁₆	—	2	8	no	—
700	SD₁₆	—	2	8	no	—
701	D₈	—	2	8	no	—
702	M₁₆	—	2	4	no	—
703	M₁₆	—	2	4	no	—
704	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
705	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
706	C₄⋊C₄	—	2	4	no	—
707	C₄⋊C₄	—	2	4	no	—
708	C₄⋊C₄	—	2	2	no	—
709	C₄⋊C₄	—	2	2	no	—
710	C₄⋊C₄	—	2	1	no	—
711	C₄⋊C₄	—	2	1	no	—
712	C₄⋊C₄	—	2	2	no	—
713	C₄⋊C₄	—	2	2	no	—
714	C₄⋊C₄	—	2	1	no	—
715	C₄⋊C₄	—	2	1	no	—
716	C₄⋊C₄	—	2	2	no	—
717	C₄⋊C₄	—	2	2	no	—
718	C₄⋊C₄	—	2	2	no	—
719	C₄⋊C₄	—	2	2	no	—
720	C₄⋊C₄	—	2	1	no	—
721	C₄⋊C₄	—	2	1	no	—
722	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
723	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
724	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
725	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
726	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
727	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
728	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
729	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
730	C₂²⋊C₄	—	2	2	no	—
731	C₂²⋊C₄	—	2	2	no	—
732	C₂²⋊C₄	—	2	2	no	—
733	C₂²⋊C₄	—	2	4	no	—
734	C₂²⋊C₄	—	2	2	no	—
735	C₂²⋊C₄	—	2	2	no	—
736	C₂²⋊C₄	—	2	2	no	—
737	C₂²⋊C₄	—	2	2	no	—
738	C₂²⋊C₄	—	2	2	no	—
739	C₂²⋊C₄	—	2	2	no	—
740	C₂²⋊C₄	—	2	2	no	—
741	C₂²⋊C₄	—	2	2	no	—
742	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
743	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
744	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
745	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
746	C₄²	—	2	4	no	—
747	C₄²	—	2	2	no	—
748	C₄²	—	2	2	no	—
749	C₄²	—	2	2	no	—
750	C₄²	—	2	2	no	—
751	C₄²	—	2	2	no	—
752	C₄²	C₂×D₄×C₁₁	1	2	yes	—
753	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
754	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
755	C₄²	C₂⁴×C₁₁	1	2	yes	—
756	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
757	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
758	C₁₁	#60565	1	1	yes	characteristic, direct product factor, Sylow
759	C₂³	—	2	2	no	—
760	C₂³	—	2	4	no	—
761	C₂³	—	2	2	no	—
762	C₂³	—	2	2	no	—
763	C₂³	—	4	1	no	—
764	C₂³	—	4	1	no	—
765	C₂³	—	4	2	no	—
766	C₂³	—	4	2	no	—
767	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
768	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
769	Q₈	—	2	4	no	—
770	Q₈	—	2	2	no	—
771	Q₈	—	2	2	no	—
772	Q₈	—	2	2	no	—
773	Q₈	—	8	1	no	—
774	Q₈	—	8	1	no	—
775	Q₈	C₂×C₁₁×#41	1	4	yes	—
776	D₄	—	2	16	no	—
777	D₄	—	2	4	no	—
778	D₄	—	2	2	no	—
779	D₄	—	2	2	no	—
780	D₄	—	2	2	no	—
781	D₄	—	4	4	no	—
782	D₄	—	8	1	no	—
783	D₄	—	8	1	no	—
784	D₄	—	8	2	no	—
785	D₄	—	8	2	no	—
786	D₄	C₂×C₁₁×#41	1	4	yes	—
787	C₂×C₄	—	2	16	no	—
788	C₂×C₄	—	2	2	no	—
789	C₂×C₄	—	2	4	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	4	no	—
792	C₂×C₄	—	2	2	no	—
793	C₂×C₄	—	2	2	no	—
794	C₂×C₄	—	2	2	no	—
795	C₂×C₄	—	2	2	no	—
796	C₂×C₄	—	2	2	no	—
797	C₂×C₄	—	2	2	no	—
798	C₂×C₄	—	2	2	no	—
799	C₂×C₄	—	4	1	no	—
800	C₂×C₄	—	4	1	no	—
801	C₂×C₄	—	4	1	no	—
802	C₂×C₄	—	4	1	no	—
803	C₂×C₄	—	4	2	no	—
804	C₂×C₄	—	4	2	no	—
805	C₂×C₄	—	4	4	no	—
806	C₂×C₄	—	8	2	no	—
807	C₂×C₄	—	8	2	no	—
808	C₂×C₄	—	8	4	no	—
809	C₂×C₄	—	8	2	no	—
810	C₂×C₄	—	8	2	no	—
811	C₂×C₄	—	8	4	no	—
812	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
813	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
814	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
815	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
816	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
817	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
818	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
819	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
820	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
821	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
822	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
823	C₈	—	2	4	no	—
824	C₈	—	2	4	no	—
825	C₂²	—	2	1	no	—
826	C₂²	—	2	1	no	—
827	C₂²	—	2	2	no	—
828	C₂²	—	2	4	no	—
829	C₂²	—	2	2	no	—
830	C₂²	—	2	2	no	—
831	C₂²	—	4	4	no	—
832	C₂²	—	4	8	no	—
833	C₂²	—	4	2	no	—
834	C₂²	—	4	2	no	—
835	C₂²	—	4	2	no	—
836	C₂²	—	4	2	no	—
837	C₂²	—	4	2	no	—
838	C₂²	C₁₁×#525	1	2	yes	—
839	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
840	C₄	—	2	2	no	—
841	C₄	—	2	4	no	—
842	C₄	—	2	2	no	—
843	C₄	—	2	1	no	—
844	C₄	—	2	1	no	—
845	C₄	—	2	2	no	—
846	C₄	—	2	1	no	—
847	C₄	—	2	1	no	—
848	C₄	—	4	2	no	—
849	C₄	—	4	2	no	—
850	C₄	—	4	2	no	—
851	C₄	—	4	2	no	—
852	C₄	—	4	2	no	—
853	C₄	C₁₁×#525	1	2	yes	—
854	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
855	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
856	C₂	—	2	2	no	—
857	C₂	—	4	2	no	—
858	C₂	—	4	4	no	—
859	C₂	—	8	2	no	—
860	C₂	C₂×C₁₁×#525	1	1	yes	characteristic
861	C₂	C₁₁×#3585	1	1	yes	characteristic
862	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 ◁ C₂×C₁₁×#117 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3455	C₂	semidirect
2. C₂×C₁₁×#520	C₂	semidirect
3. C₁₁×#3125	C₂	semidirect
4. C₁₁×#3124	C₂	semidirect
5. C₁₁×#3120	C₂	semidirect
6. C₁₁×#3119	C₂	semidirect
7. C₁₁×#3092	C₂	semidirect
8. C₁₁×#3078	C₂	semidirect
9. C₁₁×#3077	C₂	semidirect
10. C₁₁×#3037	C₂	semidirect
11. C₁₁×#3036	C₂	semidirect
12. C₁₁×#3005	C₂	semidirect
13. C₄×C₁₁×#137	C₂	semidirect
14. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
15. C₁₁×#2921	C₂	semidirect
19. C₁₁×#542	C₂²	semidirect
20. C₁₁×#542	C₂²	semidirect
21. C₁₁×#541	C₂²	semidirect
22. C₁₁×#540	C₂²	semidirect
47. C₁₁×#484	C₂²	semidirect
48. C₁₁×#483	C₂²	semidirect
49. C₁₁×#481	C₂²	semidirect
50. C₁₁×#480	C₂²	semidirect
51. C₁₁×#479	C₂²	semidirect
52. C₁₁×#478	C₂²	semidirect
53. C₁₁×#477	C₂²	semidirect
54. C₁₁×#476	C₂²	semidirect
55. C₁₁×#475	C₂²	semidirect
56. C₁₁×#474	C₂²	semidirect
57. C₁₁×#464	C₂²	semidirect
58. C₁₁×#463	C₂²	semidirect
59. C₁₁×#462	C₂²	semidirect
60. C₁₁×#461	C₂²	semidirect
61. C₁₁×#460	C₂²	semidirect
62. C₁₁×#459	C₂²	semidirect
67. C₁₁×#442	C₂²	semidirect
68. C₁₁×#441	C₂²	semidirect
69. C₁₁×#440	C₂²	semidirect
70. C₁₁×#440	C₂²	semidirect
71. C₄×C₁₁×Q₁₆	C₂²	semidirect
72. C₄×C₁₁×SD₁₆	C₂²	semidirect
73. C₄×C₁₁×SD₁₆	C₂²	semidirect
74. C₄×C₁₁×D₈	C₂²	semidirect
75. C₁₁×#433	C₂²	semidirect
76. C₁₁×#433	C₂²	semidirect
216. #60565	C₁₁	direct (N × H)
328. #3455	C₂×C₁₁	semidirect
329. C₂×#520	C₂×C₁₁	semidirect
330. #3125	C₂×C₁₁	semidirect
331. #3124	C₂×C₁₁	semidirect
332. #3120	C₂×C₁₁	semidirect
333. #3119	C₂×C₁₁	semidirect
334. #3092	C₂×C₁₁	semidirect
335. #3078	C₂×C₁₁	semidirect
336. #3077	C₂×C₁₁	semidirect
337. #3037	C₂×C₁₁	semidirect
338. #3036	C₂×C₁₁	semidirect
339. #3005	C₂×C₁₁	semidirect
340. C₄×#137	C₂×C₁₁	semidirect
341. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
342. #2921	C₂×C₁₁	semidirect
412. #542	C₂²×C₁₁	semidirect
413. #542	C₂²×C₁₁	semidirect
414. #541	C₂²×C₁₁	semidirect
415. #540	C₂²×C₁₁	semidirect
440. #484	C₂²×C₁₁	semidirect
441. #483	C₂²×C₁₁	semidirect
442. #481	C₂²×C₁₁	semidirect
443. #480	C₂²×C₁₁	semidirect
444. #479	C₂²×C₁₁	semidirect
445. #478	C₂²×C₁₁	semidirect
446. #477	C₂²×C₁₁	semidirect
447. #476	C₂²×C₁₁	semidirect
448. #475	C₂²×C₁₁	semidirect
449. #474	C₂²×C₁₁	semidirect
450. #464	C₂²×C₁₁	semidirect
451. #463	C₂²×C₁₁	semidirect
452. #462	C₂²×C₁₁	semidirect
453. #461	C₂²×C₁₁	semidirect
454. #460	C₂²×C₁₁	semidirect
455. #459	C₂²×C₁₁	semidirect
460. #442	C₂²×C₁₁	semidirect
461. #441	C₂²×C₁₁	semidirect
462. #440	C₂²×C₁₁	semidirect
463. #440	C₂²×C₁₁	semidirect
464. C₄×Q₁₆	C₂²×C₁₁	semidirect
465. C₄×SD₁₆	C₂²×C₁₁	semidirect
466. C₄×SD₁₆	C₂²×C₁₁	semidirect
467. C₄×D₈	C₂²×C₁₁	semidirect
468. #433	C₂²×C₁₁	semidirect
469. #433	C₂²×C₁₁	semidirect
758. C₁₁	#60565	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×#3455	2
C₂×C₁₁×#520	2
C₁₁×#3125	2
C₁₁×#3124	2
C₁₁×#3120	2
C₁₁×#3119	2
C₁₁×#3092	2
C₁₁×#3078	2
C₁₁×#3077	2
C₁₁×#3037	2
C₁₁×#3036	2
C₁₁×#3005	2
C₄×C₁₁×#137	2
C₄×C₁₁×AGL(1,ℤ/8)	2
C₁₁×#2921	2
#60565	11

Subgroups — C11×#60565 #14637758

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60565 #14637758