Subgroups — C₁₁×#60757 #14637950

Order 2816.

2310 conjugacy classes of subgroups.

The subgroup lattice has 1006 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3489	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3200	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3198	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3194	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3193	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3188	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3187	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3096	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3095	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3091	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3062	C₂	1	2	yes	maximal, complemented
13	C₁₁×#3057	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3010	C₂	1	2	yes	maximal, complemented
15	C₁₁×#3003	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×#450	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₁×#2880	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	1	yes	characteristic, complemented
19	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
20	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
21	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
22	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	complemented
23	C₂×C₁₁×#131	C₂²	1	2	yes	complemented
24	D₄×Q₈×C₁₁	—	2	1	no	—
25	C₁₁×#548	—	2	1	no	—
26	C₁₁×#547	—	2	2	no	—
27	C₁₁×#547	—	2	1	no	—
28	C₁₁×#546	—	2	2	no	—
29	C₁₁×#546	—	2	1	no	—
30	C₁₁×#537	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#537	C₂²	1	2	yes	complemented
32	C₁₁×#536	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#536	C₂²	1	2	yes	complemented
34	C₁₁×#535	—	2	2	no	—
35	C₁₁×#535	—	2	1	no	—
36	C₁₁×#535	—	2	1	no	—
37	C₁₁×#535	C₂²	1	4	yes	—
38	C₁₁×#535	C₂²	1	2	yes	—
39	C₁₁×#535	C₂²	1	2	yes	—
40	C₂×C₁₁×#127	—	2	1	no	—
41	C₂×C₁₁×#124	—	2	1	no	—
42	C₁₁×#525	C₂²	1	1	yes	characteristic
43	C₁₁×#525	C₂²	1	2	yes	complemented
44	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
45	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	complemented
46	C₂×C₁₁×#121	C₂²	1	2	yes	—
47	C₂×C₁₁×#121	C₂²	1	2	yes	—
48	C₂×C₁₁×#120	—	2	2	no	—
49	C₁₁×#520	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
51	C₁₁×#485	C₂²	1	4	yes	complemented
52	C₁₁×#485	C₂²	1	2	yes	complemented
53	C₁₁×#484	C₂²	1	2	yes	complemented
54	C₁₁×#484	C₂²	1	1	yes	characteristic, complemented
55	C₁₁×#483	C₂²	1	1	yes	characteristic, complemented
56	C₁₁×#483	C₂²	1	2	yes	complemented
57	C₁₁×#482	C₂²	1	2	yes	complemented
58	C₁₁×#482	C₂²	1	4	yes	complemented
59	C₁₁×#482	C₂²	1	4	yes	complemented
60	C₁₁×#481	C₂²	1	1	yes	characteristic, complemented
61	C₁₁×#481	C₂²	1	4	yes	complemented
62	C₁₁×#480	C₂²	1	1	yes	characteristic, complemented
63	C₁₁×#480	C₂²	1	4	yes	complemented
64	C₁₁×#469	C₂²	1	4	yes	complemented
65	C₁₁×#468	C₂²	1	4	yes	complemented
66	C₁₁×#468	C₂²	1	4	yes	complemented
67	C₁₁×#468	C₂²	1	4	yes	complemented
68	C₁₁×#466	C₂²	1	4	yes	complemented
69	C₁₁×#465	C₂²	1	4	yes	complemented
70	C₁₁×#465	C₂²	1	4	yes	complemented
71	C₁₁×#465	C₂²	1	4	yes	complemented
72	C₁₁×#450	C₂²	1	2	yes	—
73	C₁₁×#450	C₂²	1	2	yes	—
74	C₁₁×#450	C₂²	1	2	yes	—
75	C₁₁×#450	C₂²	1	4	yes	complemented
76	C₁₁×#450	C₂²	1	2	yes	complemented
77	C₁₁×#449	C₂²	1	4	yes	complemented
78	C₁₁×#449	C₂²	1	4	yes	complemented
79	C₁₁×#448	C₂²	1	4	yes	complemented
80	C₁₁×#448	C₂²	1	4	yes	complemented
81	C₁₁×#447	C₂²	1	2	yes	—
82	C₁₁×#447	C₂²	1	2	yes	complemented
83	C₁₁×#428	C₂²	1	2	yes	complemented
84	C₁₁×#427	C₂²	1	2	yes	complemented
85	C₁₁×#419	C₂²	1	2	yes	complemented
86	C₁₁×#418	C₂²	1	2	yes	complemented
87	C₁₁×#416	C₂²	1	2	yes	complemented
88	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
89	C₁₁×#408	C₂²	1	4	yes	complemented
90	C₁₁×#408	C₂²	1	2	yes	complemented
91	C₁₁×#407	C₂²	1	1	yes	characteristic
92	C₁₁×#407	C₂²	1	2	yes	complemented
93	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
94	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
95	C₂⁵×C₁₁	—	2	1	no	—
96	C₁₁×2₋¹⁺⁴	—	4	4	no	—
97	C₂×C₁₁×#41	—	2	2	no	—
98	C₂×C₁₁×#41	—	2	1	no	—
99	C₂×C₁₁×#41	—	4	4	no	—
100	C₂×C₁₁×#41	D₄	1	2	yes	—
101	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
102	C₂×C₁₁×#41	D₄	1	1	yes	characteristic
103	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
104	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
105	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
106	C₂×C₁₁×#41	C₂³	1	2	yes	—
107	C₂×C₁₁×#41	C₂³	1	2	yes	complemented
108	C₂²×Q₈×C₁₁	—	2	1	no	—
109	C₂²×Q₈×C₁₁	D₄	1	1	yes	characteristic
110	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
111	C₂²×Q₈×C₁₁	C₂³	1	2	yes	complemented
112	C₂²×D₄×C₁₁	—	2	2	no	—
113	C₂²×D₄×C₁₁	—	2	2	no	—
114	C₂²×D₄×C₁₁	—	2	1	no	—
115	C₂²×D₄×C₁₁	—	2	1	no	—
116	C₂²×D₄×C₁₁	—	2	1	no	—
117	C₂²×D₄×C₁₁	—	4	4	no	—
118	C₂²×D₄×C₁₁	D₄	1	2	yes	—
119	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
120	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
121	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
122	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
123	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
124	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
125	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
126	C₂×C₁₁×SD₁₆	—	4	4	no	—
127	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
128	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
129	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
130	C₂×C₁₁×D₈	C₂³	1	4	yes	—
131	C₁₁×#131	—	4	4	no	—
132	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
133	C₂×C₁₁×M₁₆	C₂³	1	4	yes	complemented
134	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
135	C₂²×C₈×C₁₁	C₂³	1	4	yes	complemented
136	C₁₁×C₄⋊Q₈	—	2	1	no	—
137	C₁₁×C₄⋊Q₈	—	2	2	no	—
138	C₁₁×#127	—	2	2	no	—
139	C₁₁×#127	—	2	2	no	—
140	C₁₁×#127	—	2	4	no	—
141	C₁₁×#124	—	2	2	no	—
142	C₁₁×#124	—	2	2	no	—
143	C₁₁×#124	—	2	4	no	—
144	C₁₁×#124	—	2	1	no	—
145	C₁₁×#124	—	2	2	no	—
146	C₁₁×#123	—	2	2	no	—
147	C₁₁×#123	—	2	2	no	—
148	C₁₁×#123	—	2	2	no	—
149	C₁₁×#123	—	2	1	no	—
150	C₁₁×#123	—	2	2	no	—
151	C₁₁×C₂²⋊Q₈	—	2	2	no	—
152	C₁₁×C₂²⋊Q₈	—	2	1	no	—
153	C₁₁×C₂²⋊Q₈	—	2	1	no	—
154	C₁₁×C₂²⋊Q₈	—	2	1	no	—
155	C₁₁×C₂²⋊Q₈	—	2	2	no	—
156	C₁₁×C₂²⋊Q₈	—	2	2	no	—
157	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
158	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
159	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
160	C₁₁×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
161	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	complemented
162	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	complemented
163	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	complemented
164	C₁₁×#121	—	2	2	no	—
165	C₁₁×#121	—	2	2	no	—
166	C₁₁×#121	—	2	2	no	—
167	C₁₁×#121	—	2	2	no	—
168	C₁₁×#121	—	2	1	no	—
169	C₁₁×#121	—	2	2	no	—
170	C₁₁×#121	—	2	2	no	—
171	C₁₁×#121	—	2	2	no	—
172	C₁₁×#121	—	2	2	no	—
173	C₁₁×#121	C₂³	1	4	yes	—
174	C₁₁×#121	C₂³	1	4	yes	—
175	C₁₁×#121	C₂³	1	4	yes	—
176	C₁₁×#121	C₂³	1	4	yes	—
177	C₁₁×#121	C₂³	1	1	yes	characteristic
178	C₁₁×#121	C₂³	1	1	yes	characteristic
179	C₁₁×#121	C₂³	1	2	yes	complemented
180	C₁₁×#120	—	2	1	no	—
181	C₁₁×#120	—	2	2	no	—
182	C₁₁×#120	—	2	4	no	—
183	C₁₁×#120	—	2	4	no	—
184	C₁₁×#120	—	2	4	no	—
185	C₁₁×#120	—	2	4	no	—
186	C₄×Q₈×C₁₁	—	2	1	no	—
187	C₄×D₄×C₁₁	—	2	1	no	—
188	C₄×D₄×C₁₁	—	2	2	no	—
189	C₄×D₄×C₁₁	—	2	1	no	—
190	C₄×D₄×C₁₁	—	2	1	no	—
191	C₄×D₄×C₁₁	—	2	2	no	—
192	C₄×D₄×C₁₁	—	2	2	no	—
193	C₁₁×#117	—	2	1	no	—
194	C₁₁×#117	—	2	1	no	—
195	C₁₁×#117	C₂³	1	2	yes	—
196	C₁₁×#117	C₂³	1	2	yes	—
197	C₁₁×#117	C₂³	1	1	yes	characteristic
198	C₁₁×#117	C₂³	1	2	yes	complemented
199	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
200	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
201	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	complemented
205	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
206	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
207	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
208	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
209	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
210	C₂×C₄²×C₁₁	—	2	1	no	—
211	C₁₁×#107	C₂³	1	2	yes	complemented
212	C₁₁×#107	C₂³	1	2	yes	complemented
213	C₁₁×#107	C₂³	1	4	yes	complemented
214	C₁₁×#106	C₂³	1	2	yes	complemented
215	C₁₁×#106	C₂³	1	2	yes	complemented
216	C₁₁×#106	C₂³	1	4	yes	complemented
217	C₁₁×#103	C₂³	1	2	yes	complemented
218	C₁₁×#103	C₂³	1	2	yes	complemented
219	C₁₁×#103	C₂³	1	4	yes	complemented
220	C₁₁×#103	C₂³	1	4	yes	complemented
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	complemented
226	C₁₁×#102	C₂³	1	2	yes	complemented
227	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
228	C₁₁×C₂²⋊C₈	C₂³	1	1	yes	characteristic
229	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
230	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
231	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
232	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	complemented
233	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	complemented
234	#60757	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
235	C₂⁴×C₁₁	—	2	2	no	—
236	C₂⁴×C₁₁	—	2	2	no	—
237	C₂⁴×C₁₁	—	2	2	no	—
238	C₂⁴×C₁₁	—	4	4	no	—
239	C₂⁴×C₁₁	—	8	2	no	—
240	C₂⁴×C₁₁	—	8	2	no	—
241	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
242	C₂⁴×C₁₁	C₂×D₄	1	2	yes	—
243	C₁₁×#41	—	2	4	no	—
244	C₁₁×#41	—	2	4	no	—
245	C₁₁×#41	—	2	4	no	—
246	C₁₁×#41	—	4	4	no	—
247	C₁₁×#41	—	4	4	no	—
248	C₁₁×#41	—	4	2	no	—
249	C₁₁×#41	—	4	2	no	—
250	C₁₁×#41	—	4	4	no	—
251	C₁₁×#41	—	4	8	no	—
252	C₁₁×#41	—	4	4	no	—
253	C₂×Q₈×C₁₁	—	2	1	no	—
254	C₂×Q₈×C₁₁	—	2	2	no	—
255	C₂×Q₈×C₁₁	—	2	4	no	—
256	C₂×Q₈×C₁₁	—	4	2	no	—
257	C₂×Q₈×C₁₁	—	4	4	no	—
258	C₂×Q₈×C₁₁	—	4	4	no	—
259	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
260	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
261	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
262	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
263	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂×D₄×C₁₁	—	2	1	no	—
265	C₂×D₄×C₁₁	—	2	1	no	—
266	C₂×D₄×C₁₁	—	2	2	no	—
267	C₂×D₄×C₁₁	—	2	1	no	—
268	C₂×D₄×C₁₁	—	2	2	no	—
269	C₂×D₄×C₁₁	—	2	4	no	—
270	C₂×D₄×C₁₁	—	2	4	no	—
271	C₂×D₄×C₁₁	—	2	4	no	—
272	C₂×D₄×C₁₁	—	2	4	no	—
273	C₂×D₄×C₁₁	—	2	2	no	—
274	C₂×D₄×C₁₁	—	2	2	no	—
275	C₂×D₄×C₁₁	—	2	2	no	—
276	C₂×D₄×C₁₁	—	2	4	no	—
277	C₂×D₄×C₁₁	—	2	4	no	—
278	C₂×D₄×C₁₁	—	4	4	no	—
279	C₂×D₄×C₁₁	—	4	4	no	—
280	C₂×D₄×C₁₁	—	4	2	no	—
281	C₂×D₄×C₁₁	—	4	4	no	—
282	C₂×D₄×C₁₁	—	4	4	no	—
283	C₂×D₄×C₁₁	—	4	4	no	—
284	C₂×D₄×C₁₁	—	4	4	no	—
285	C₂×D₄×C₁₁	—	8	4	no	—
286	C₂×D₄×C₁₁	—	8	4	no	—
287	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
288	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
289	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
290	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
291	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
292	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
293	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
294	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
295	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
296	C₂²×C₄×C₁₁	—	2	4	no	—
297	C₂²×C₄×C₁₁	—	2	1	no	—
298	C₂²×C₄×C₁₁	—	2	1	no	—
299	C₂²×C₄×C₁₁	—	2	1	no	—
300	C₂²×C₄×C₁₁	—	2	2	no	—
301	C₂²×C₄×C₁₁	—	2	1	no	—
302	C₂²×C₄×C₁₁	—	2	2	no	—
303	C₂²×C₄×C₁₁	—	2	1	no	—
304	C₂²×C₄×C₁₁	—	2	2	no	—
305	C₂²×C₄×C₁₁	—	4	4	no	—
306	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
307	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
308	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
309	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
310	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
311	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
312	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
313	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
314	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
315	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
316	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
317	C₁₁×SD₁₆	—	4	4	no	—
318	C₁₁×SD₁₆	—	4	4	no	—
319	C₁₁×SD₁₆	—	4	4	no	—
320	C₁₁×D₈	—	4	4	no	—
321	C₁₁×M₁₆	—	2	4	no	—
322	C₁₁×M₁₆	—	4	4	no	—
323	C₂×C₈×C₁₁	—	2	4	no	—
324	C₂×C₈×C₁₁	—	4	4	no	—
325	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
326	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
327	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
328	C₁₁×C₄⋊C₄	—	2	2	no	—
329	C₁₁×C₄⋊C₄	—	2	1	no	—
330	C₁₁×C₄⋊C₄	—	2	2	no	—
331	C₁₁×C₄⋊C₄	—	2	2	no	—
332	C₁₁×C₄⋊C₄	—	2	2	no	—
333	C₁₁×C₄⋊C₄	—	2	1	no	—
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	1	no	—
338	C₁₁×C₄⋊C₄	—	2	2	no	—
339	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
340	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
341	C₁₁×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
342	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
343	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
344	C₁₁×C₂²⋊C₄	—	2	2	no	—
345	C₁₁×C₂²⋊C₄	—	2	1	no	—
346	C₁₁×C₂²⋊C₄	—	2	2	no	—
347	C₁₁×C₂²⋊C₄	—	2	2	no	—
348	C₁₁×C₂²⋊C₄	—	2	2	no	—
349	C₁₁×C₂²⋊C₄	—	2	2	no	—
350	C₁₁×C₂²⋊C₄	—	2	2	no	—
351	C₁₁×C₂²⋊C₄	—	2	1	no	—
352	C₁₁×C₂²⋊C₄	—	2	2	no	—
353	C₁₁×C₂²⋊C₄	—	2	1	no	—
354	C₁₁×C₂²⋊C₄	—	2	2	no	—
355	C₁₁×C₂²⋊C₄	—	2	4	no	—
356	C₁₁×C₂²⋊C₄	—	2	4	no	—
357	C₁₁×C₂²⋊C₄	—	2	4	no	—
358	C₁₁×C₂²⋊C₄	—	2	4	no	—
359	C₁₁×C₂²⋊C₄	—	2	1	no	—
360	C₁₁×C₂²⋊C₄	—	2	1	no	—
361	C₁₁×C₂²⋊C₄	—	2	2	no	—
362	C₄²×C₁₁	—	2	2	no	—
363	C₄²×C₁₁	—	2	2	no	—
364	C₄²×C₁₁	—	2	1	no	—
365	C₄²×C₁₁	—	2	2	no	—
366	#3489	C₂×C₁₁	1	1	yes	characteristic, complemented
367	C₂×#535	C₂×C₁₁	1	1	yes	characteristic, complemented
368	#3200	C₂×C₁₁	1	4	yes	complemented
369	#3198	C₂×C₁₁	1	4	yes	complemented
370	#3194	C₂×C₁₁	1	2	yes	complemented
371	#3193	C₂×C₁₁	1	2	yes	complemented
372	#3188	C₂×C₁₁	1	2	yes	complemented
373	#3187	C₂×C₁₁	1	2	yes	complemented
374	#3096	C₂×C₁₁	1	2	yes	complemented
375	#3095	C₂×C₁₁	1	1	yes	characteristic, complemented
376	#3091	C₂×C₁₁	1	1	yes	characteristic, complemented
377	#3062	C₂×C₁₁	1	2	yes	complemented
378	#3057	C₂×C₁₁	1	2	yes	complemented
379	#3010	C₂×C₁₁	1	2	yes	complemented
380	#3003	C₂×C₁₁	1	1	yes	characteristic, complemented
381	C₂×#450	C₂×C₁₁	1	1	yes	characteristic, complemented
382	#2880	C₂×C₁₁	1	1	yes	characteristic, complemented
383	C₂³×C₁₁	—	2	2	no	—
384	C₂³×C₁₁	—	2	2	no	—
385	C₂³×C₁₁	—	2	4	no	—
386	C₂³×C₁₁	—	2	1	no	—
387	C₂³×C₁₁	—	2	4	no	—
388	C₂³×C₁₁	—	4	1	no	—
389	C₂³×C₁₁	—	4	2	no	—
390	C₂³×C₁₁	—	4	2	no	—
391	C₂³×C₁₁	—	4	4	no	—
392	C₂³×C₁₁	—	4	4	no	—
393	C₂³×C₁₁	—	4	4	no	—
394	C₂³×C₁₁	—	4	4	no	—
395	C₂³×C₁₁	—	4	4	no	—
396	C₂³×C₁₁	—	8	2	no	—
397	C₂³×C₁₁	—	8	2	no	—
398	C₂³×C₁₁	—	8	2	no	—
399	C₂³×C₁₁	—	8	2	no	—
400	C₂³×C₁₁	—	8	16	no	—
401	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
402	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
403	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
404	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
405	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
406	Q₈×C₁₁	—	2	2	no	—
407	Q₈×C₁₁	—	2	2	no	—
408	Q₈×C₁₁	—	2	4	no	—
409	Q₈×C₁₁	—	2	2	no	—
410	Q₈×C₁₁	—	4	2	no	—
411	Q₈×C₁₁	—	4	4	no	—
412	Q₈×C₁₁	—	4	2	no	—
413	D₄×C₁₁	—	2	4	no	—
414	D₄×C₁₁	—	2	4	no	—
415	D₄×C₁₁	—	2	2	no	—
416	D₄×C₁₁	—	2	2	no	—
417	D₄×C₁₁	—	2	2	no	—
418	D₄×C₁₁	—	2	4	no	—
419	D₄×C₁₁	—	2	4	no	—
420	D₄×C₁₁	—	4	2	no	—
421	D₄×C₁₁	—	4	2	no	—
422	D₄×C₁₁	—	4	2	no	—
423	D₄×C₁₁	—	4	4	no	—
424	D₄×C₁₁	—	4	4	no	—
425	D₄×C₁₁	—	4	4	no	—
426	D₄×C₁₁	—	4	2	no	—
427	D₄×C₁₁	—	4	2	no	—
428	D₄×C₁₁	—	4	4	no	—
429	D₄×C₁₁	—	8	2	no	—
430	D₄×C₁₁	—	8	1	no	—
431	D₄×C₁₁	—	8	4	no	—
432	D₄×C₁₁	—	8	4	no	—
433	D₄×C₁₁	—	8	4	no	—
434	D₄×C₁₁	—	8	4	no	—
435	C₂×C₄×C₁₁	—	2	2	no	—
436	C₂×C₄×C₁₁	—	2	2	no	—
437	C₂×C₄×C₁₁	—	2	2	no	—
438	C₂×C₄×C₁₁	—	2	4	no	—
439	C₂×C₄×C₁₁	—	2	2	no	—
440	C₂×C₄×C₁₁	—	2	2	no	—
441	C₂×C₄×C₁₁	—	2	4	no	—
442	C₂×C₄×C₁₁	—	2	1	no	—
443	C₂×C₄×C₁₁	—	2	2	no	—
444	C₂×C₄×C₁₁	—	2	2	no	—
445	C₂×C₄×C₁₁	—	2	1	no	—
446	C₂×C₄×C₁₁	—	2	2	no	—
447	C₂×C₄×C₁₁	—	2	2	no	—
448	C₂×C₄×C₁₁	—	2	1	no	—
449	C₂×C₄×C₁₁	—	4	2	no	—
450	C₂×C₄×C₁₁	—	4	2	no	—
451	C₂×C₄×C₁₁	—	4	2	no	—
452	C₂×C₄×C₁₁	—	4	4	no	—
453	C₂×C₄×C₁₁	—	4	2	no	—
454	C₂×C₄×C₁₁	—	4	4	no	—
455	C₂×C₄×C₁₁	—	4	2	no	—
456	C₂×C₄×C₁₁	—	4	2	no	—
457	C₂×C₄×C₁₁	—	4	2	no	—
458	C₂×C₄×C₁₁	—	8	1	no	—
459	C₂×C₄×C₁₁	—	8	2	no	—
460	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
461	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
462	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
463	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
464	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
465	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
466	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
467	C₈×C₁₁	—	2	2	no	—
468	C₈×C₁₁	—	2	2	no	—
469	C₈×C₁₁	—	2	4	no	—
470	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	1	yes	characteristic, complemented
471	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
472	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
473	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
474	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	complemented
475	C₂×#131	C₂²×C₁₁	1	2	yes	complemented
476	D₄×Q₈	—	2	1	no	—
477	#548	—	2	1	no	—
478	#547	—	2	2	no	—
479	#547	—	2	1	no	—
480	#546	—	2	2	no	—
481	#546	—	2	1	no	—
482	#537	C₂²×C₁₁	1	1	yes	characteristic, complemented
483	#537	C₂²×C₁₁	1	2	yes	complemented
484	#536	C₂²×C₁₁	1	1	yes	characteristic, complemented
485	#536	C₂²×C₁₁	1	2	yes	complemented
486	#535	—	2	2	no	—
487	#535	—	2	1	no	—
488	#535	—	2	1	no	—
489	#535	C₂²×C₁₁	1	2	yes	—
490	#535	C₂²×C₁₁	1	4	yes	—
491	#535	C₂²×C₁₁	1	2	yes	—
492	C₂×#127	—	2	1	no	—
493	C₂×#124	—	2	1	no	—
494	#525	C₂²×C₁₁	1	1	yes	characteristic
495	#525	C₂²×C₁₁	1	2	yes	complemented
496	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
497	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	complemented
498	C₂×#121	C₂²×C₁₁	1	2	yes	—
499	C₂×#121	C₂²×C₁₁	1	2	yes	—
500	C₂×#120	—	2	2	no	—
501	#520	C₂²×C₁₁	1	1	yes	characteristic, complemented
502	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
503	#485	C₂²×C₁₁	1	2	yes	complemented
504	#485	C₂²×C₁₁	1	4	yes	complemented
505	#484	C₂²×C₁₁	1	1	yes	characteristic, complemented
506	#484	C₂²×C₁₁	1	2	yes	complemented
507	#483	C₂²×C₁₁	1	1	yes	characteristic, complemented
508	#483	C₂²×C₁₁	1	2	yes	complemented
509	#482	C₂²×C₁₁	1	2	yes	complemented
510	#482	C₂²×C₁₁	1	4	yes	complemented
511	#482	C₂²×C₁₁	1	4	yes	complemented
512	#481	C₂²×C₁₁	1	1	yes	characteristic, complemented
513	#481	C₂²×C₁₁	1	4	yes	complemented
514	#480	C₂²×C₁₁	1	1	yes	characteristic, complemented
515	#480	C₂²×C₁₁	1	4	yes	complemented
516	#469	C₂²×C₁₁	1	4	yes	complemented
517	#468	C₂²×C₁₁	1	4	yes	complemented
518	#468	C₂²×C₁₁	1	4	yes	complemented
519	#468	C₂²×C₁₁	1	4	yes	complemented
520	#466	C₂²×C₁₁	1	4	yes	complemented
521	#465	C₂²×C₁₁	1	4	yes	complemented
522	#465	C₂²×C₁₁	1	4	yes	complemented
523	#465	C₂²×C₁₁	1	4	yes	complemented
524	#450	C₂²×C₁₁	1	2	yes	—
525	#450	C₂²×C₁₁	1	2	yes	—
526	#450	C₂²×C₁₁	1	2	yes	—
527	#450	C₂²×C₁₁	1	4	yes	complemented
528	#450	C₂²×C₁₁	1	2	yes	complemented
529	#449	C₂²×C₁₁	1	4	yes	complemented
530	#449	C₂²×C₁₁	1	4	yes	complemented
531	#448	C₂²×C₁₁	1	4	yes	complemented
532	#448	C₂²×C₁₁	1	4	yes	complemented
533	#447	C₂²×C₁₁	1	2	yes	—
534	#447	C₂²×C₁₁	1	2	yes	complemented
535	#428	C₂²×C₁₁	1	2	yes	complemented
536	#427	C₂²×C₁₁	1	2	yes	complemented
537	#419	C₂²×C₁₁	1	2	yes	complemented
538	#418	C₂²×C₁₁	1	2	yes	complemented
539	#416	C₂²×C₁₁	1	2	yes	complemented
540	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
541	#408	C₂²×C₁₁	1	4	yes	complemented
542	#408	C₂²×C₁₁	1	2	yes	complemented
543	#407	C₂²×C₁₁	1	1	yes	characteristic
544	#407	C₂²×C₁₁	1	2	yes	complemented
545	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
546	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
547	C₂²×C₁₁	—	2	1	no	—
548	C₂²×C₁₁	—	2	1	no	—
549	C₂²×C₁₁	—	2	1	no	—
550	C₂²×C₁₁	—	2	1	no	—
551	C₂²×C₁₁	—	2	2	no	—
552	C₂²×C₁₁	—	2	2	no	—
553	C₂²×C₁₁	—	2	1	no	—
554	C₂²×C₁₁	—	2	1	no	—
555	C₂²×C₁₁	—	2	2	no	—
556	C₂²×C₁₁	—	2	2	no	—
557	C₂²×C₁₁	—	2	2	no	—
558	C₂²×C₁₁	—	2	2	no	—
559	C₂²×C₁₁	—	2	1	no	—
560	C₂²×C₁₁	—	4	4	no	—
561	C₂²×C₁₁	—	4	1	no	—
562	C₂²×C₁₁	—	4	4	no	—
563	C₂²×C₁₁	—	4	1	no	—
564	C₂²×C₁₁	—	4	4	no	—
565	C₂²×C₁₁	—	4	1	no	—
566	C₂²×C₁₁	—	4	4	no	—
567	C₂²×C₁₁	—	8	4	no	—
568	C₂²×C₁₁	—	8	8	no	—
569	C₂²×C₁₁	—	8	8	no	—
570	C₂²×C₁₁	—	8	8	no	—
571	C₂²×C₁₁	#534	1	2	yes	—
572	C₂²×C₁₁	#577	1	2	yes	—
573	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
574	C₄×C₁₁	—	2	1	no	—
575	C₄×C₁₁	—	2	1	no	—
576	C₄×C₁₁	—	2	2	no	—
577	C₄×C₁₁	—	2	2	no	—
578	C₄×C₁₁	—	4	2	no	—
579	C₄×C₁₁	—	4	1	no	—
580	C₄×C₁₁	—	4	2	no	—
581	C₄×C₁₁	—	4	2	no	—
582	C₄×C₁₁	—	4	1	no	—
583	C₄×C₁₁	—	4	2	no	—
584	C₄×C₁₁	—	4	1	no	—
585	C₄×C₁₁	#534	1	2	yes	—
586	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
587	C₂⁵	—	2	1	no	—
588	2₋¹⁺⁴	—	4	4	no	—
589	C₂×#41	—	2	2	no	—
590	C₂×#41	—	2	1	no	—
591	C₂×#41	—	4	4	no	—
592	C₂×#41	D₄×C₁₁	1	2	yes	—
593	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
594	C₂×#41	D₄×C₁₁	1	1	yes	characteristic
595	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
596	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
597	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×#41	C₂³×C₁₁	1	2	yes	—
599	C₂×#41	C₂³×C₁₁	1	2	yes	complemented
600	C₂²×Q₈	—	2	1	no	—
601	C₂²×Q₈	D₄×C₁₁	1	1	yes	characteristic
602	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
603	C₂²×Q₈	C₂³×C₁₁	1	2	yes	complemented
604	C₂²×D₄	—	2	2	no	—
605	C₂²×D₄	—	2	2	no	—
606	C₂²×D₄	—	2	1	no	—
607	C₂²×D₄	—	2	1	no	—
608	C₂²×D₄	—	2	1	no	—
609	C₂²×D₄	—	4	4	no	—
610	C₂²×D₄	D₄×C₁₁	1	2	yes	—
611	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
612	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
613	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
614	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
615	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
616	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
617	AGL(1,ℤ/8)	—	4	4	no	—
618	C₂×SD₁₆	—	4	4	no	—
619	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
620	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
621	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
622	C₂×D₈	C₂³×C₁₁	1	4	yes	—
623	#131	—	4	4	no	—
624	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
625	C₂×M₁₆	C₂³×C₁₁	1	4	yes	complemented
626	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
627	C₂²×C₈	C₂³×C₁₁	1	4	yes	complemented
628	C₄⋊Q₈	—	2	1	no	—
629	C₄⋊Q₈	—	2	2	no	—
630	#127	—	2	2	no	—
631	#127	—	2	2	no	—
632	#127	—	2	4	no	—
633	#124	—	2	2	no	—
634	#124	—	2	2	no	—
635	#124	—	2	4	no	—
636	#124	—	2	1	no	—
637	#124	—	2	2	no	—
638	#123	—	2	2	no	—
639	#123	—	2	2	no	—
640	#123	—	2	2	no	—
641	#123	—	2	1	no	—
642	#123	—	2	2	no	—
643	C₂²⋊Q₈	—	2	2	no	—
644	C₂²⋊Q₈	—	2	1	no	—
645	C₂²⋊Q₈	—	2	1	no	—
646	C₂²⋊Q₈	—	2	1	no	—
647	C₂²⋊Q₈	—	2	2	no	—
648	C₂²⋊Q₈	—	2	2	no	—
649	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
650	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
651	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
652	C₂²⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
653	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	complemented
654	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	complemented
655	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	complemented
656	#121	—	2	2	no	—
657	#121	—	2	2	no	—
658	#121	—	2	2	no	—
659	#121	—	2	2	no	—
660	#121	—	2	1	no	—
661	#121	—	2	2	no	—
662	#121	—	2	2	no	—
663	#121	—	2	2	no	—
664	#121	—	2	2	no	—
665	#121	C₂³×C₁₁	1	4	yes	—
666	#121	C₂³×C₁₁	1	4	yes	—
667	#121	C₂³×C₁₁	1	4	yes	—
668	#121	C₂³×C₁₁	1	4	yes	—
669	#121	C₂³×C₁₁	1	1	yes	characteristic
670	#121	C₂³×C₁₁	1	1	yes	characteristic
671	#121	C₂³×C₁₁	1	2	yes	complemented
672	#120	—	2	1	no	—
673	#120	—	2	2	no	—
674	#120	—	2	4	no	—
675	#120	—	2	4	no	—
676	#120	—	2	4	no	—
677	#120	—	2	4	no	—
678	C₄×Q₈	—	2	1	no	—
679	C₄×D₄	—	2	1	no	—
680	C₄×D₄	—	2	2	no	—
681	C₄×D₄	—	2	1	no	—
682	C₄×D₄	—	2	1	no	—
683	C₄×D₄	—	2	2	no	—
684	C₄×D₄	—	2	2	no	—
685	#117	—	2	1	no	—
686	#117	—	2	1	no	—
687	#117	C₂³×C₁₁	1	2	yes	—
688	#117	C₂³×C₁₁	1	2	yes	—
689	#117	C₂³×C₁₁	1	1	yes	characteristic
690	#117	C₂³×C₁₁	1	2	yes	complemented
691	C₂×C₄⋊C₄	—	2	1	no	—
692	C₂×C₄⋊C₄	—	2	2	no	—
693	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
694	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
695	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
696	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	complemented
697	C₂×C₂²⋊C₄	—	2	1	no	—
698	C₂×C₂²⋊C₄	—	2	1	no	—
699	C₂×C₂²⋊C₄	—	2	2	no	—
700	C₂×C₂²⋊C₄	—	2	2	no	—
701	C₂×C₂²⋊C₄	—	2	2	no	—
702	C₂×C₄²	—	2	1	no	—
703	#107	C₂³×C₁₁	1	2	yes	complemented
704	#107	C₂³×C₁₁	1	2	yes	complemented
705	#107	C₂³×C₁₁	1	4	yes	complemented
706	#106	C₂³×C₁₁	1	2	yes	complemented
707	#106	C₂³×C₁₁	1	2	yes	complemented
708	#106	C₂³×C₁₁	1	4	yes	complemented
709	#103	C₂³×C₁₁	1	2	yes	complemented
710	#103	C₂³×C₁₁	1	2	yes	complemented
711	#103	C₂³×C₁₁	1	4	yes	complemented
712	#103	C₂³×C₁₁	1	4	yes	complemented
713	#102	C₂³×C₁₁	1	4	yes	—
714	#102	C₂³×C₁₁	1	4	yes	—
715	#102	C₂³×C₁₁	1	4	yes	—
716	#102	C₂³×C₁₁	1	4	yes	—
717	#102	C₂³×C₁₁	1	2	yes	complemented
718	#102	C₂³×C₁₁	1	2	yes	complemented
719	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
720	C₂²⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
721	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
722	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
723	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
724	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	complemented
725	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	complemented
726	C₂×C₁₁	—	2	2	no	—
727	C₂×C₁₁	—	2	2	no	—
728	C₂×C₁₁	—	4	1	no	—
729	C₂×C₁₁	—	4	2	no	—
730	C₂×C₁₁	—	4	2	no	—
731	C₂×C₁₁	—	8	1	no	—
732	C₂×C₁₁	—	8	4	no	—
733	C₂×C₁₁	C₂×#534	1	1	yes	characteristic
734	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
735	C₂×C₁₁	#3585	1	1	yes	characteristic
736	C₂⁴	—	2	2	no	—
737	C₂⁴	—	2	2	no	—
738	C₂⁴	—	2	2	no	—
739	C₂⁴	—	4	4	no	—
740	C₂⁴	—	8	2	no	—
741	C₂⁴	—	8	2	no	—
742	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
743	C₂⁴	C₂×D₄×C₁₁	1	2	yes	—
744	#41	—	2	4	no	—
745	#41	—	2	4	no	—
746	#41	—	2	4	no	—
747	#41	—	4	4	no	—
748	#41	—	4	4	no	—
749	#41	—	4	2	no	—
750	#41	—	4	2	no	—
751	#41	—	4	4	no	—
752	#41	—	4	8	no	—
753	#41	—	4	4	no	—
754	C₂×Q₈	—	2	1	no	—
755	C₂×Q₈	—	2	2	no	—
756	C₂×Q₈	—	2	4	no	—
757	C₂×Q₈	—	4	2	no	—
758	C₂×Q₈	—	4	4	no	—
759	C₂×Q₈	—	4	4	no	—
760	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
761	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
762	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
763	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
764	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
765	C₂×D₄	—	2	1	no	—
766	C₂×D₄	—	2	1	no	—
767	C₂×D₄	—	2	2	no	—
768	C₂×D₄	—	2	1	no	—
769	C₂×D₄	—	2	2	no	—
770	C₂×D₄	—	2	4	no	—
771	C₂×D₄	—	2	4	no	—
772	C₂×D₄	—	2	4	no	—
773	C₂×D₄	—	2	4	no	—
774	C₂×D₄	—	2	2	no	—
775	C₂×D₄	—	2	2	no	—
776	C₂×D₄	—	2	2	no	—
777	C₂×D₄	—	2	4	no	—
778	C₂×D₄	—	2	4	no	—
779	C₂×D₄	—	4	4	no	—
780	C₂×D₄	—	4	4	no	—
781	C₂×D₄	—	4	2	no	—
782	C₂×D₄	—	4	4	no	—
783	C₂×D₄	—	4	4	no	—
784	C₂×D₄	—	4	4	no	—
785	C₂×D₄	—	4	4	no	—
786	C₂×D₄	—	8	4	no	—
787	C₂×D₄	—	8	4	no	—
788	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
789	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
790	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
791	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
792	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
793	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
794	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
795	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
796	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
797	C₂²×C₄	—	2	4	no	—
798	C₂²×C₄	—	2	1	no	—
799	C₂²×C₄	—	2	1	no	—
800	C₂²×C₄	—	2	1	no	—
801	C₂²×C₄	—	2	2	no	—
802	C₂²×C₄	—	2	1	no	—
803	C₂²×C₄	—	2	2	no	—
804	C₂²×C₄	—	2	1	no	—
805	C₂²×C₄	—	2	2	no	—
806	C₂²×C₄	—	4	4	no	—
807	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
808	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
809	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
810	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
811	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
812	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
813	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
814	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
815	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
816	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
817	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
818	SD₁₆	—	4	4	no	—
819	SD₁₆	—	4	4	no	—
820	SD₁₆	—	4	4	no	—
821	D₈	—	4	4	no	—
822	M₁₆	—	2	4	no	—
823	M₁₆	—	4	4	no	—
824	C₂×C₈	—	2	4	no	—
825	C₂×C₈	—	4	4	no	—
826	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
827	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
828	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
829	C₄⋊C₄	—	2	2	no	—
830	C₄⋊C₄	—	2	1	no	—
831	C₄⋊C₄	—	2	2	no	—
832	C₄⋊C₄	—	2	2	no	—
833	C₄⋊C₄	—	2	2	no	—
834	C₄⋊C₄	—	2	1	no	—
835	C₄⋊C₄	—	2	1	no	—
836	C₄⋊C₄	—	2	1	no	—
837	C₄⋊C₄	—	2	2	no	—
838	C₄⋊C₄	—	2	1	no	—
839	C₄⋊C₄	—	2	2	no	—
840	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
841	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
842	C₄⋊C₄	C₂⁴×C₁₁	1	1	yes	characteristic
843	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
844	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
845	C₂²⋊C₄	—	2	2	no	—
846	C₂²⋊C₄	—	2	1	no	—
847	C₂²⋊C₄	—	2	2	no	—
848	C₂²⋊C₄	—	2	2	no	—
849	C₂²⋊C₄	—	2	2	no	—
850	C₂²⋊C₄	—	2	2	no	—
851	C₂²⋊C₄	—	2	2	no	—
852	C₂²⋊C₄	—	2	1	no	—
853	C₂²⋊C₄	—	2	2	no	—
854	C₂²⋊C₄	—	2	1	no	—
855	C₂²⋊C₄	—	2	2	no	—
856	C₂²⋊C₄	—	2	4	no	—
857	C₂²⋊C₄	—	2	4	no	—
858	C₂²⋊C₄	—	2	4	no	—
859	C₂²⋊C₄	—	2	4	no	—
860	C₂²⋊C₄	—	2	1	no	—
861	C₂²⋊C₄	—	2	1	no	—
862	C₂²⋊C₄	—	2	2	no	—
863	C₄²	—	2	2	no	—
864	C₄²	—	2	2	no	—
865	C₄²	—	2	1	no	—
866	C₄²	—	2	2	no	—
867	C₁₁	#60757	1	1	yes	characteristic, direct product factor, Sylow
868	C₂³	—	2	2	no	—
869	C₂³	—	2	2	no	—
870	C₂³	—	2	4	no	—
871	C₂³	—	2	1	no	—
872	C₂³	—	2	4	no	—
873	C₂³	—	4	1	no	—
874	C₂³	—	4	2	no	—
875	C₂³	—	4	2	no	—
876	C₂³	—	4	4	no	—
877	C₂³	—	4	4	no	—
878	C₂³	—	4	4	no	—
879	C₂³	—	4	4	no	—
880	C₂³	—	4	4	no	—
881	C₂³	—	8	2	no	—
882	C₂³	—	8	2	no	—
883	C₂³	—	8	2	no	—
884	C₂³	—	8	2	no	—
885	C₂³	—	8	16	no	—
886	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
887	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
888	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
889	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
890	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
891	Q₈	—	2	2	no	—
892	Q₈	—	2	2	no	—
893	Q₈	—	2	4	no	—
894	Q₈	—	2	2	no	—
895	Q₈	—	4	2	no	—
896	Q₈	—	4	4	no	—
897	Q₈	—	4	2	no	—
898	D₄	—	2	4	no	—
899	D₄	—	2	4	no	—
900	D₄	—	2	2	no	—
901	D₄	—	2	2	no	—
902	D₄	—	2	2	no	—
903	D₄	—	2	4	no	—
904	D₄	—	2	4	no	—
905	D₄	—	4	2	no	—
906	D₄	—	4	2	no	—
907	D₄	—	4	2	no	—
908	D₄	—	4	4	no	—
909	D₄	—	4	4	no	—
910	D₄	—	4	4	no	—
911	D₄	—	4	2	no	—
912	D₄	—	4	2	no	—
913	D₄	—	4	4	no	—
914	D₄	—	8	2	no	—
915	D₄	—	8	1	no	—
916	D₄	—	8	4	no	—
917	D₄	—	8	4	no	—
918	D₄	—	8	4	no	—
919	D₄	—	8	4	no	—
920	C₂×C₄	—	2	2	no	—
921	C₂×C₄	—	2	2	no	—
922	C₂×C₄	—	2	2	no	—
923	C₂×C₄	—	2	4	no	—
924	C₂×C₄	—	2	2	no	—
925	C₂×C₄	—	2	2	no	—
926	C₂×C₄	—	2	4	no	—
927	C₂×C₄	—	2	1	no	—
928	C₂×C₄	—	2	2	no	—
929	C₂×C₄	—	2	2	no	—
930	C₂×C₄	—	2	1	no	—
931	C₂×C₄	—	2	2	no	—
932	C₂×C₄	—	2	2	no	—
933	C₂×C₄	—	2	1	no	—
934	C₂×C₄	—	4	2	no	—
935	C₂×C₄	—	4	2	no	—
936	C₂×C₄	—	4	2	no	—
937	C₂×C₄	—	4	4	no	—
938	C₂×C₄	—	4	2	no	—
939	C₂×C₄	—	4	4	no	—
940	C₂×C₄	—	4	2	no	—
941	C₂×C₄	—	4	2	no	—
942	C₂×C₄	—	4	2	no	—
943	C₂×C₄	—	8	1	no	—
944	C₂×C₄	—	8	2	no	—
945	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
946	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
947	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
948	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
949	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
950	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
951	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
952	C₈	—	2	2	no	—
953	C₈	—	2	2	no	—
954	C₈	—	2	4	no	—
955	C₂²	—	2	1	no	—
956	C₂²	—	2	1	no	—
957	C₂²	—	2	1	no	—
958	C₂²	—	2	1	no	—
959	C₂²	—	2	1	no	—
960	C₂²	—	2	2	no	—
961	C₂²	—	2	2	no	—
962	C₂²	—	2	2	no	—
963	C₂²	—	2	2	no	—
964	C₂²	—	2	1	no	—
965	C₂²	—	2	2	no	—
966	C₂²	—	2	2	no	—
967	C₂²	—	2	1	no	—
968	C₂²	—	4	4	no	—
969	C₂²	—	4	1	no	—
970	C₂²	—	4	4	no	—
971	C₂²	—	4	1	no	—
972	C₂²	—	4	4	no	—
973	C₂²	—	4	1	no	—
974	C₂²	—	4	4	no	—
975	C₂²	—	8	4	no	—
976	C₂²	—	8	8	no	—
977	C₂²	—	8	8	no	—
978	C₂²	—	8	8	no	—
979	C₂²	C₁₁×#534	1	2	yes	—
980	C₂²	C₁₁×#577	1	2	yes	—
981	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
982	C₄	—	2	1	no	—
983	C₄	—	2	1	no	—
984	C₄	—	2	2	no	—
985	C₄	—	2	2	no	—
986	C₄	—	4	2	no	—
987	C₄	—	4	1	no	—
988	C₄	—	4	2	no	—
989	C₄	—	4	1	no	—
990	C₄	—	4	2	no	—
991	C₄	—	4	1	no	—
992	C₄	—	4	2	no	—
993	C₄	C₁₁×#534	1	2	yes	—
994	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
995	C₂	—	2	2	no	—
996	C₂	—	2	2	no	—
997	C₂	—	4	1	no	—
998	C₂	—	4	2	no	—
999	C₂	—	4	2	no	—
1000	C₂	—	8	4	no	—
1001	C₂	—	8	1	no	—
1002	C₂	C₂×C₁₁×#534	1	1	yes	characteristic
1003	C₂	C₂×C₁₁×#577	1	1	yes	characteristic
1004	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 ◁ C₂²×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3489	C₂	semidirect
2. C₂×C₁₁×#535	C₂	semidirect
3. C₁₁×#3200	C₂	semidirect
4. C₁₁×#3198	C₂	semidirect
5. C₁₁×#3194	C₂	semidirect
6. C₁₁×#3193	C₂	semidirect
7. C₁₁×#3188	C₂	semidirect
8. C₁₁×#3187	C₂	semidirect
9. C₁₁×#3096	C₂	semidirect
10. C₁₁×#3095	C₂	semidirect
11. C₁₁×#3091	C₂	semidirect
12. C₁₁×#3062	C₂	semidirect
13. C₁₁×#3057	C₂	semidirect
14. C₁₁×#3010	C₂	semidirect
15. C₁₁×#3003	C₂	semidirect
16. C₂×C₁₁×#450	C₂	semidirect
17. C₁₁×#2880	C₂	semidirect
18. C₂×C₁₁×2₋¹⁺⁴	C₂²	semidirect
21. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
22. C₂²×C₁₁×SD₁₆	C₂²	semidirect
23. C₂×C₁₁×#131	C₂²	semidirect
30. C₁₁×#537	C₂²	semidirect
31. C₁₁×#537	C₂²	semidirect
32. C₁₁×#536	C₂²	semidirect
33. C₁₁×#536	C₂²	semidirect
43. C₁₁×#525	C₂²	semidirect
45. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
49. C₁₁×#520	C₂²	semidirect
51. C₁₁×#485	C₂²	semidirect
52. C₁₁×#485	C₂²	semidirect
53. C₁₁×#484	C₂²	semidirect
54. C₁₁×#484	C₂²	semidirect
55. C₁₁×#483	C₂²	semidirect
56. C₁₁×#483	C₂²	semidirect
57. C₁₁×#482	C₂²	semidirect
58. C₁₁×#482	C₂²	semidirect
59. C₁₁×#482	C₂²	semidirect
60. C₁₁×#481	C₂²	semidirect
61. C₁₁×#481	C₂²	semidirect
62. C₁₁×#480	C₂²	semidirect
63. C₁₁×#480	C₂²	semidirect
64. C₁₁×#469	C₂²	semidirect
65. C₁₁×#468	C₂²	semidirect
66. C₁₁×#468	C₂²	semidirect
67. C₁₁×#468	C₂²	semidirect
68. C₁₁×#466	C₂²	semidirect
69. C₁₁×#465	C₂²	semidirect
70. C₁₁×#465	C₂²	semidirect
71. C₁₁×#465	C₂²	semidirect
75. C₁₁×#450	C₂²	semidirect
76. C₁₁×#450	C₂²	semidirect
77. C₁₁×#449	C₂²	semidirect
78. C₁₁×#449	C₂²	semidirect
79. C₁₁×#448	C₂²	semidirect
80. C₁₁×#448	C₂²	semidirect
82. C₁₁×#447	C₂²	semidirect
83. C₁₁×#428	C₂²	semidirect
84. C₁₁×#427	C₂²	semidirect
85. C₁₁×#419	C₂²	semidirect
86. C₁₁×#418	C₂²	semidirect
87. C₁₁×#416	C₂²	semidirect
88. C₂×C₁₁×#102	C₂²	semidirect
89. C₁₁×#408	C₂²	semidirect
90. C₁₁×#408	C₂²	semidirect
92. C₁₁×#407	C₂²	semidirect
94. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
107. C₂×C₁₁×#41	C₂³	semidirect
111. C₂²×Q₈×C₁₁	C₂³	semidirect
133. C₂×C₁₁×M₁₆	C₂³	semidirect
135. C₂²×C₈×C₁₁	C₂³	semidirect
161. C₁₁×C₂²⋊Q₈	C₂³	semidirect
162. C₁₁×C₂²⋊Q₈	C₂³	semidirect
163. C₁₁×C₂²⋊Q₈	C₂³	semidirect
179. C₁₁×#121	C₂³	semidirect
198. C₁₁×#117	C₂³	semidirect
204. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
211. C₁₁×#107	C₂³	semidirect
212. C₁₁×#107	C₂³	semidirect
213. C₁₁×#107	C₂³	semidirect
214. C₁₁×#106	C₂³	semidirect
215. C₁₁×#106	C₂³	semidirect
216. C₁₁×#106	C₂³	semidirect
217. C₁₁×#103	C₂³	semidirect
218. C₁₁×#103	C₂³	semidirect
219. C₁₁×#103	C₂³	semidirect
220. C₁₁×#103	C₂³	semidirect
225. C₁₁×#102	C₂³	semidirect
226. C₁₁×#102	C₂³	semidirect
232. C₁₁×C₂²⋊C₈	C₂³	semidirect
233. C₁₁×C₂²⋊C₈	C₂³	semidirect
234. #60757	C₁₁	direct (N × H)
366. #3489	C₂×C₁₁	semidirect
367. C₂×#535	C₂×C₁₁	semidirect
368. #3200	C₂×C₁₁	semidirect
369. #3198	C₂×C₁₁	semidirect
370. #3194	C₂×C₁₁	semidirect
371. #3193	C₂×C₁₁	semidirect
372. #3188	C₂×C₁₁	semidirect
373. #3187	C₂×C₁₁	semidirect
374. #3096	C₂×C₁₁	semidirect
375. #3095	C₂×C₁₁	semidirect
376. #3091	C₂×C₁₁	semidirect
377. #3062	C₂×C₁₁	semidirect
378. #3057	C₂×C₁₁	semidirect
379. #3010	C₂×C₁₁	semidirect
380. #3003	C₂×C₁₁	semidirect
381. C₂×#450	C₂×C₁₁	semidirect
382. #2880	C₂×C₁₁	semidirect
470. C₂×2₋¹⁺⁴	C₂²×C₁₁	semidirect
473. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
474. C₂²×SD₁₆	C₂²×C₁₁	semidirect
475. C₂×#131	C₂²×C₁₁	semidirect
482. #537	C₂²×C₁₁	semidirect
483. #537	C₂²×C₁₁	semidirect
484. #536	C₂²×C₁₁	semidirect
485. #536	C₂²×C₁₁	semidirect
495. #525	C₂²×C₁₁	semidirect
497. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
501. #520	C₂²×C₁₁	semidirect
503. #485	C₂²×C₁₁	semidirect
504. #485	C₂²×C₁₁	semidirect
505. #484	C₂²×C₁₁	semidirect
506. #484	C₂²×C₁₁	semidirect
507. #483	C₂²×C₁₁	semidirect
508. #483	C₂²×C₁₁	semidirect
509. #482	C₂²×C₁₁	semidirect
510. #482	C₂²×C₁₁	semidirect
511. #482	C₂²×C₁₁	semidirect
512. #481	C₂²×C₁₁	semidirect
513. #481	C₂²×C₁₁	semidirect
514. #480	C₂²×C₁₁	semidirect
515. #480	C₂²×C₁₁	semidirect
516. #469	C₂²×C₁₁	semidirect
517. #468	C₂²×C₁₁	semidirect
518. #468	C₂²×C₁₁	semidirect
519. #468	C₂²×C₁₁	semidirect
520. #466	C₂²×C₁₁	semidirect
521. #465	C₂²×C₁₁	semidirect
522. #465	C₂²×C₁₁	semidirect
523. #465	C₂²×C₁₁	semidirect
527. #450	C₂²×C₁₁	semidirect
528. #450	C₂²×C₁₁	semidirect
529. #449	C₂²×C₁₁	semidirect
530. #449	C₂²×C₁₁	semidirect
531. #448	C₂²×C₁₁	semidirect
532. #448	C₂²×C₁₁	semidirect
534. #447	C₂²×C₁₁	semidirect
535. #428	C₂²×C₁₁	semidirect
536. #427	C₂²×C₁₁	semidirect
537. #419	C₂²×C₁₁	semidirect
538. #418	C₂²×C₁₁	semidirect
539. #416	C₂²×C₁₁	semidirect
540. C₂×#102	C₂²×C₁₁	semidirect
541. #408	C₂²×C₁₁	semidirect
542. #408	C₂²×C₁₁	semidirect
544. #407	C₂²×C₁₁	semidirect
546. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
599. C₂×#41	C₂³×C₁₁	semidirect
603. C₂²×Q₈	C₂³×C₁₁	semidirect
625. C₂×M₁₆	C₂³×C₁₁	semidirect
627. C₂²×C₈	C₂³×C₁₁	semidirect
653. C₂²⋊Q₈	C₂³×C₁₁	semidirect
654. C₂²⋊Q₈	C₂³×C₁₁	semidirect
655. C₂²⋊Q₈	C₂³×C₁₁	semidirect
671. #121	C₂³×C₁₁	semidirect
690. #117	C₂³×C₁₁	semidirect
696. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
703. #107	C₂³×C₁₁	semidirect
704. #107	C₂³×C₁₁	semidirect
705. #107	C₂³×C₁₁	semidirect
706. #106	C₂³×C₁₁	semidirect
707. #106	C₂³×C₁₁	semidirect
708. #106	C₂³×C₁₁	semidirect
709. #103	C₂³×C₁₁	semidirect
710. #103	C₂³×C₁₁	semidirect
711. #103	C₂³×C₁₁	semidirect
712. #103	C₂³×C₁₁	semidirect
717. #102	C₂³×C₁₁	semidirect
718. #102	C₂³×C₁₁	semidirect
724. C₂²⋊C₈	C₂³×C₁₁	semidirect
725. C₂²⋊C₈	C₂³×C₁₁	semidirect
867. C₁₁	#60757	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×#3489	2
C₂×C₁₁×#535	2
C₁₁×#3200	2
C₁₁×#3198	2
C₁₁×#3194	2
C₁₁×#3193	2
C₁₁×#3188	2
C₁₁×#3187	2
C₁₁×#3096	2
C₁₁×#3095	2
C₁₁×#3091	2
C₁₁×#3062	2
C₁₁×#3057	2
C₁₁×#3010	2
C₁₁×#3003	2
C₂×C₁₁×#450	2
C₁₁×#2880	2
#60757	11

Subgroups — C11×#60757 #14637950

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60757 #14637950