Subgroups — C₁₁×#60770 #14637963

Order 2816.

2132 conjugacy classes of subgroups.

The subgroup lattice has 792 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	2	yes	maximal, complemented
2	C₁₁×#3203	C₂	1	2	yes	maximal, complemented
3	C₁₁×#3202	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3201	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3191	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3190	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3189	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3098	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3097	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3056	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3050	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×C₁₁×#467	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3013	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3011	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₁×#408	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×2₋¹⁺⁴	C₂²	1	2	yes	—
17	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
18	C₂×C₁₁×#137	C₂²	1	2	yes	complemented
19	C₂×C₁₁×#135	C₂²	1	1	yes	characteristic, complemented
20	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic, complemented
21	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
22	C₂³×C₈×C₁₁	C₂²	1	1	yes	characteristic
23	D₄×Q₈×C₁₁	—	2	2	no	—
24	C₁₁×#548	—	2	2	no	—
25	C₁₁×#547	—	2	4	no	—
26	C₁₁×#547	—	2	2	no	—
27	C₁₁×#546	—	2	4	no	—
28	C₁₁×#546	—	2	2	no	—
29	C₁₁×#537	C₂²	1	4	yes	—
30	C₁₁×#537	C₂²	1	2	yes	—
31	C₁₁×#536	C₂²	1	4	yes	—
32	C₁₁×#536	C₂²	1	2	yes	—
33	C₁₁×#525	C₂²	1	4	yes	—
34	C₁₁×#525	C₂²	1	2	yes	—
35	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	4	yes	—
36	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	2	yes	—
37	C₁₁×#520	C₂²	1	2	yes	—
38	C₁₁×#485	C₂²	1	4	yes	complemented
39	C₁₁×#485	C₂²	1	4	yes	complemented
40	C₁₁×#485	C₂²	1	4	yes	complemented
41	C₁₁×#484	C₂²	1	4	yes	complemented
42	C₁₁×#484	C₂²	1	4	yes	complemented
43	C₁₁×#483	C₂²	1	4	yes	complemented
44	C₁₁×#482	C₂²	1	4	yes	complemented
45	C₁₁×#480	C₂²	1	4	yes	complemented
46	C₁₁×#470	C₂²	1	4	yes	complemented
47	C₁₁×#468	C₂²	1	4	yes	complemented
48	C₁₁×#467	C₂²	1	1	yes	characteristic
49	C₁₁×#467	C₂²	1	4	yes	—
50	C₁₁×#467	C₂²	1	2	yes	—
51	C₁₁×#467	C₂²	1	2	yes	—
52	C₁₁×#467	C₂²	1	2	yes	complemented
53	C₁₁×#467	C₂²	1	1	yes	characteristic, complemented
54	C₁₁×#467	C₂²	1	2	yes	complemented
55	C₁₁×#466	C₂²	1	1	yes	characteristic
56	C₁₁×#466	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#465	C₂²	1	2	yes	—
58	C₁₁×#465	C₂²	1	4	yes	—
59	C₁₁×#465	C₂²	1	2	yes	complemented
60	C₁₁×#452	C₂²	1	4	yes	complemented
61	C₁₁×#452	C₂²	1	4	yes	complemented
62	C₁₁×#452	C₂²	1	4	yes	complemented
63	C₁₁×#451	C₂²	1	4	yes	complemented
64	C₁₁×#451	C₂²	1	4	yes	complemented
65	C₁₁×#451	C₂²	1	4	yes	complemented
66	C₁₁×#449	C₂²	1	4	yes	complemented
67	C₁₁×#448	C₂²	1	4	yes	complemented
68	C₁₁×#428	C₂²	1	2	yes	complemented
69	C₁₁×#427	C₂²	1	1	yes	characteristic, complemented
70	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
71	C₁₁×#419	C₂²	1	2	yes	complemented
72	C₁₁×#417	C₂²	1	2	yes	complemented
73	C₁₁×#416	C₂²	1	2	yes	complemented
74	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
75	C₁₁×#408	C₂²	1	2	yes	—
76	C₁₁×#408	C₂²	1	2	yes	—
77	C₁₁×#408	C₂²	1	2	yes	—
78	C₁₁×#408	C₂²	1	2	yes	—
79	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	—
80	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	—
81	C₁₁×2₋¹⁺⁴	—	4	4	no	—
82	C₁₁×2₋¹⁺⁴	—	4	4	no	—
83	C₂×C₁₁×#41	—	2	4	no	—
84	C₂×C₁₁×#41	—	2	2	no	—
85	C₂×C₁₁×#41	—	4	2	no	—
86	C₂×C₁₁×#41	—	4	2	no	—
87	C₂×C₁₁×#41	D₄	1	2	yes	—
88	C₂×C₁₁×#41	D₄	1	2	yes	—
89	C₂×C₁₁×#41	C₂³	1	2	yes	—
90	C₂×C₁₁×#41	C₂³	1	4	yes	—
91	C₂×C₁₁×#41	C₂³	1	2	yes	—
92	C₂×C₁₁×#41	C₂³	1	2	yes	—
93	C₂²×Q₈×C₁₁	—	2	2	no	—
94	C₂²×Q₈×C₁₁	D₄	1	1	yes	characteristic
95	C₂²×Q₈×C₁₁	C₂³	1	2	yes	—
96	C₂²×Q₈×C₁₁	C₂³	1	4	yes	—
97	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
98	C₂²×D₄×C₁₁	D₄	1	2	yes	—
99	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
100	C₂³×C₄×C₁₁	C₂³	1	2	yes	—
101	C₁₁×#137	—	4	4	no	—
102	C₁₁×#135	—	4	2	no	—
103	C₂×C₁₁×Q₁₆	—	4	2	no	—
104	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
105	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
106	C₂×C₁₁×Q₁₆	C₂³	1	1	yes	characteristic
107	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
108	C₂×C₁₁×SD₁₆	C₂³	1	2	yes	—
109	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
110	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
111	C₂×C₁₁×M₁₆	—	4	2	no	—
112	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
113	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
114	C₂²×C₈×C₁₁	—	4	2	no	—
115	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
116	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
117	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
118	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
119	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
120	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
121	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
122	C₁₁×C₄⋊Q₈	—	2	2	no	—
123	C₁₁×C₄⋊Q₈	—	2	4	no	—
124	C₁₁×#124	—	2	2	no	—
125	C₁₁×#124	—	2	4	no	—
126	C₁₁×#123	—	2	4	no	—
127	C₁₁×#123	—	2	4	no	—
128	C₁₁×#123	—	2	4	no	—
129	C₁₁×#123	—	2	2	no	—
130	C₁₁×#123	—	2	4	no	—
131	C₁₁×C₂²⋊Q₈	—	2	2	no	—
132	C₁₁×C₂²⋊Q₈	—	2	4	no	—
133	C₁₁×C₂²⋊Q₈	—	2	2	no	—
134	C₁₁×C₂²⋊Q₈	—	2	4	no	—
135	C₁₁×C₂²⋊Q₈	—	2	2	no	—
136	C₁₁×C₂²⋊Q₈	—	2	4	no	—
137	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
138	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
139	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
140	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
141	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
142	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
143	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
144	C₁₁×#121	—	2	4	no	—
145	C₁₁×#121	—	2	4	no	—
146	C₁₁×#121	—	2	4	no	—
147	C₁₁×#121	—	2	2	no	—
148	C₁₁×#121	—	2	4	no	—
149	C₁₁×#121	C₂³	1	2	yes	—
150	C₁₁×#121	C₂³	1	4	yes	—
151	C₁₁×#121	C₂³	1	2	yes	—
152	C₁₁×#120	—	2	2	no	—
153	C₁₁×#120	—	2	4	no	—
154	C₄×Q₈×C₁₁	—	2	2	no	—
155	C₄×D₄×C₁₁	—	2	4	no	—
156	C₄×D₄×C₁₁	—	2	2	no	—
157	C₄×D₄×C₁₁	—	2	2	no	—
158	C₄×D₄×C₁₁	—	2	4	no	—
159	C₄×D₄×C₁₁	—	2	2	no	—
160	C₄×D₄×C₁₁	—	2	4	no	—
161	C₁₁×#117	C₂³	1	2	yes	—
162	C₁₁×#117	C₂³	1	4	yes	—
163	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
164	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
165	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
166	C₂×C₁₁×C₄⋊C₄	C₂³	1	4	yes	—
167	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
168	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
169	C₁₁×#107	C₂³	1	2	yes	—
170	C₁₁×#107	C₂³	1	2	yes	—
171	C₁₁×#107	C₂³	1	1	yes	characteristic
172	C₁₁×#107	C₂³	1	1	yes	characteristic
173	C₁₁×#107	C₂³	1	4	yes	—
174	C₁₁×#106	C₂³	1	2	yes	—
175	C₁₁×#106	C₂³	1	4	yes	—
176	C₁₁×#103	C₂³	1	4	yes	—
177	C₁₁×#103	C₂³	1	4	yes	—
178	C₁₁×#103	C₂³	1	2	yes	—
179	C₁₁×#103	C₂³	1	2	yes	—
180	C₁₁×#103	C₂³	1	4	yes	—
181	C₁₁×#103	C₂³	1	4	yes	—
182	C₁₁×#103	C₂³	1	4	yes	—
183	C₁₁×#102	C₂³	1	2	yes	—
184	C₁₁×#102	C₂³	1	2	yes	—
185	C₁₁×#102	C₂³	1	4	yes	—
186	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
187	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
188	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
189	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
190	#60770	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
191	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
192	C₂⁴×C₁₁	C₂×D₄	1	2	yes	—
193	C₁₁×#41	—	2	4	no	—
194	C₁₁×#41	—	2	4	no	—
195	C₁₁×#41	—	2	4	no	—
196	C₁₁×#41	—	2	4	no	—
197	C₁₁×#41	—	4	2	no	—
198	C₁₁×#41	—	4	2	no	—
199	C₁₁×#41	—	4	4	no	—
200	C₁₁×#41	—	4	4	no	—
201	C₁₁×#41	—	4	4	no	—
202	C₁₁×#41	—	4	4	no	—
203	C₁₁×#41	—	4	16	no	—
204	C₁₁×#41	—	4	8	no	—
205	C₂×Q₈×C₁₁	—	2	4	no	—
206	C₂×Q₈×C₁₁	—	2	2	no	—
207	C₂×Q₈×C₁₁	—	2	4	no	—
208	C₂×Q₈×C₁₁	—	2	4	no	—
209	C₂×Q₈×C₁₁	—	4	2	no	—
210	C₂×Q₈×C₁₁	—	4	4	no	—
211	C₂×Q₈×C₁₁	—	4	4	no	—
212	C₂×Q₈×C₁₁	—	4	8	no	—
213	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
214	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
215	C₂×Q₈×C₁₁	C₂⁴	1	4	yes	—
216	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
217	C₂×D₄×C₁₁	—	2	2	no	—
218	C₂×D₄×C₁₁	—	2	4	no	—
219	C₂×D₄×C₁₁	—	2	2	no	—
220	C₂×D₄×C₁₁	—	2	2	no	—
221	C₂×D₄×C₁₁	—	2	4	no	—
222	C₂×D₄×C₁₁	—	4	2	no	—
223	C₂×D₄×C₁₁	—	4	4	no	—
224	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
225	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
226	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
227	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
228	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
229	C₂²×C₄×C₁₁	—	2	2	no	—
230	C₂²×C₄×C₁₁	—	2	2	no	—
231	C₂²×C₄×C₁₁	—	2	4	no	—
232	C₂²×C₄×C₁₁	—	2	2	no	—
233	C₂²×C₄×C₁₁	—	2	4	no	—
234	C₂²×C₄×C₁₁	—	2	2	no	—
235	C₂²×C₄×C₁₁	—	2	4	no	—
236	C₂²×C₄×C₁₁	—	2	2	no	—
237	C₂²×C₄×C₁₁	—	4	2	no	—
238	C₂²×C₄×C₁₁	—	4	2	no	—
239	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
240	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
241	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
242	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
243	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
244	C₂²×C₄×C₁₁	C₂⁴	1	4	yes	—
245	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
246	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
247	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
248	C₁₁×Q₁₆	—	4	2	no	—
249	C₁₁×Q₁₆	—	4	2	no	—
250	C₁₁×Q₁₆	—	4	1	no	—
251	C₁₁×Q₁₆	—	4	4	no	—
252	C₁₁×SD₁₆	—	4	2	no	—
253	C₁₁×SD₁₆	—	4	4	no	—
254	C₁₁×D₈	—	4	1	no	—
255	C₁₁×M₁₆	—	2	4	no	—
256	C₁₁×M₁₆	—	4	2	no	—
257	C₂×C₈×C₁₁	—	2	2	no	—
258	C₂×C₈×C₁₁	—	2	2	no	—
259	C₂×C₈×C₁₁	—	4	1	no	—
260	C₂×C₈×C₁₁	—	4	1	no	—
261	C₂×C₈×C₁₁	—	4	1	no	—
262	C₂×C₈×C₁₁	—	4	1	no	—
263	C₂×C₈×C₁₁	—	4	2	no	—
264	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
266	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
267	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
268	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
269	C₁₁×C₄⋊C₄	—	2	4	no	—
270	C₁₁×C₄⋊C₄	—	2	2	no	—
271	C₁₁×C₄⋊C₄	—	2	4	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	4	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	—	2	2	no	—
276	C₁₁×C₄⋊C₄	—	2	4	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
279	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
280	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
281	C₁₁×C₂²⋊C₄	—	2	4	no	—
282	C₁₁×C₂²⋊C₄	—	2	2	no	—
283	C₁₁×C₂²⋊C₄	—	2	4	no	—
284	C₁₁×C₂²⋊C₄	—	2	4	no	—
285	C₁₁×C₂²⋊C₄	—	2	4	no	—
286	C₁₁×C₂²⋊C₄	—	2	4	no	—
287	C₁₁×C₂²⋊C₄	—	2	2	no	—
288	C₁₁×C₂²⋊C₄	—	2	2	no	—
289	C₁₁×C₂²⋊C₄	—	2	4	no	—
290	C₁₁×C₂²⋊C₄	—	2	2	no	—
291	C₁₁×C₂²⋊C₄	—	2	4	no	—
292	C₁₁×C₂²⋊C₄	—	2	2	no	—
293	C₄²×C₁₁	—	2	4	no	—
294	C₄²×C₁₁	—	2	2	no	—
295	#3489	C₂×C₁₁	1	2	yes	complemented
296	#3203	C₂×C₁₁	1	2	yes	complemented
297	#3202	C₂×C₁₁	1	2	yes	complemented
298	#3201	C₂×C₁₁	1	4	yes	complemented
299	#3191	C₂×C₁₁	1	2	yes	complemented
300	#3190	C₂×C₁₁	1	4	yes	complemented
301	#3189	C₂×C₁₁	1	2	yes	complemented
302	#3098	C₂×C₁₁	1	2	yes	complemented
303	#3097	C₂×C₁₁	1	2	yes	complemented
304	#3056	C₂×C₁₁	1	2	yes	complemented
305	#3050	C₂×C₁₁	1	1	yes	characteristic, complemented
306	C₂×#467	C₂×C₁₁	1	1	yes	characteristic, complemented
307	#3013	C₂×C₁₁	1	2	yes	complemented
308	#3011	C₂×C₁₁	1	2	yes	complemented
309	C₂×#408	C₂×C₁₁	1	1	yes	characteristic, complemented
310	C₂³×C₁₁	—	2	2	no	—
311	C₂³×C₁₁	—	2	2	no	—
312	C₂³×C₁₁	—	2	4	no	—
313	C₂³×C₁₁	—	2	2	no	—
314	C₂³×C₁₁	—	4	1	no	—
315	C₂³×C₁₁	—	4	2	no	—
316	C₂³×C₁₁	—	4	2	no	—
317	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
318	C₂³×C₁₁	C₂²×D₄	1	4	yes	—
319	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
320	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
321	Q₈×C₁₁	—	2	4	no	—
322	Q₈×C₁₁	—	2	4	no	—
323	Q₈×C₁₁	—	2	2	no	—
324	Q₈×C₁₁	—	2	4	no	—
325	Q₈×C₁₁	—	2	2	no	—
326	Q₈×C₁₁	—	4	2	no	—
327	Q₈×C₁₁	—	4	8	no	—
328	Q₈×C₁₁	—	4	4	no	—
329	D₄×C₁₁	—	2	8	no	—
330	D₄×C₁₁	—	2	4	no	—
331	D₄×C₁₁	—	2	2	no	—
332	D₄×C₁₁	—	2	2	no	—
333	D₄×C₁₁	—	4	2	no	—
334	D₄×C₁₁	—	4	4	no	—
335	D₄×C₁₁	—	4	8	no	—
336	D₄×C₁₁	—	4	4	no	—
337	D₄×C₁₁	—	4	4	no	—
338	D₄×C₁₁	—	8	4	no	—
339	D₄×C₁₁	—	8	2	no	—
340	C₂×C₄×C₁₁	—	2	2	no	—
341	C₂×C₄×C₁₁	—	2	2	no	—
342	C₂×C₄×C₁₁	—	2	2	no	—
343	C₂×C₄×C₁₁	—	2	1	no	—
344	C₂×C₄×C₁₁	—	2	1	no	—
345	C₂×C₄×C₁₁	—	2	1	no	—
346	C₂×C₄×C₁₁	—	2	1	no	—
347	C₂×C₄×C₁₁	—	2	4	no	—
348	C₂×C₄×C₁₁	—	2	4	no	—
349	C₂×C₄×C₁₁	—	2	2	no	—
350	C₂×C₄×C₁₁	—	2	4	no	—
351	C₂×C₄×C₁₁	—	2	2	no	—
352	C₂×C₄×C₁₁	—	2	4	no	—
353	C₂×C₄×C₁₁	—	2	2	no	—
354	C₂×C₄×C₁₁	—	4	2	no	—
355	C₂×C₄×C₁₁	—	4	4	no	—
356	C₂×C₄×C₁₁	—	4	8	no	—
357	C₂×C₄×C₁₁	—	4	8	no	—
358	C₂×C₄×C₁₁	—	4	4	no	—
359	C₂×C₄×C₁₁	—	4	4	no	—
360	C₂×C₄×C₁₁	—	8	2	no	—
361	C₂×C₄×C₁₁	—	8	4	no	—
362	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
363	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
364	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
365	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
366	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
367	C₂×C₄×C₁₁	H(5,𝔽₂)	1	2	yes	—
368	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
369	C₈×C₁₁	—	2	1	no	—
370	C₈×C₁₁	—	2	1	no	—
371	C₈×C₁₁	—	2	1	no	—
372	C₈×C₁₁	—	2	1	no	—
373	C₈×C₁₁	—	2	4	no	—
374	C₂×2₋¹⁺⁴	C₂²×C₁₁	1	2	yes	—
375	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
376	C₂×#137	C₂²×C₁₁	1	2	yes	complemented
377	C₂×#135	C₂²×C₁₁	1	1	yes	characteristic, complemented
378	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic, complemented
379	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
380	C₂³×C₈	C₂²×C₁₁	1	1	yes	characteristic
381	D₄×Q₈	—	2	2	no	—
382	#548	—	2	2	no	—
383	#547	—	2	4	no	—
384	#547	—	2	2	no	—
385	#546	—	2	4	no	—
386	#546	—	2	2	no	—
387	#537	C₂²×C₁₁	1	2	yes	—
388	#537	C₂²×C₁₁	1	4	yes	—
389	#536	C₂²×C₁₁	1	2	yes	—
390	#536	C₂²×C₁₁	1	4	yes	—
391	#525	C₂²×C₁₁	1	4	yes	—
392	#525	C₂²×C₁₁	1	2	yes	—
393	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	4	yes	—
394	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	2	yes	—
395	#520	C₂²×C₁₁	1	2	yes	—
396	#485	C₂²×C₁₁	1	4	yes	complemented
397	#485	C₂²×C₁₁	1	4	yes	complemented
398	#485	C₂²×C₁₁	1	4	yes	complemented
399	#484	C₂²×C₁₁	1	4	yes	complemented
400	#484	C₂²×C₁₁	1	4	yes	complemented
401	#483	C₂²×C₁₁	1	4	yes	complemented
402	#482	C₂²×C₁₁	1	4	yes	complemented
403	#480	C₂²×C₁₁	1	4	yes	complemented
404	#470	C₂²×C₁₁	1	4	yes	complemented
405	#468	C₂²×C₁₁	1	4	yes	complemented
406	#467	C₂²×C₁₁	1	1	yes	characteristic
407	#467	C₂²×C₁₁	1	4	yes	—
408	#467	C₂²×C₁₁	1	2	yes	—
409	#467	C₂²×C₁₁	1	2	yes	—
410	#467	C₂²×C₁₁	1	2	yes	complemented
411	#467	C₂²×C₁₁	1	1	yes	characteristic, complemented
412	#467	C₂²×C₁₁	1	2	yes	complemented
413	#466	C₂²×C₁₁	1	1	yes	characteristic
414	#466	C₂²×C₁₁	1	1	yes	characteristic, complemented
415	#465	C₂²×C₁₁	1	2	yes	—
416	#465	C₂²×C₁₁	1	4	yes	—
417	#465	C₂²×C₁₁	1	2	yes	complemented
418	#452	C₂²×C₁₁	1	4	yes	complemented
419	#452	C₂²×C₁₁	1	4	yes	complemented
420	#452	C₂²×C₁₁	1	4	yes	complemented
421	#451	C₂²×C₁₁	1	4	yes	complemented
422	#451	C₂²×C₁₁	1	4	yes	complemented
423	#451	C₂²×C₁₁	1	4	yes	complemented
424	#449	C₂²×C₁₁	1	4	yes	complemented
425	#448	C₂²×C₁₁	1	4	yes	complemented
426	#428	C₂²×C₁₁	1	2	yes	complemented
427	#427	C₂²×C₁₁	1	1	yes	characteristic, complemented
428	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
429	#419	C₂²×C₁₁	1	2	yes	complemented
430	#417	C₂²×C₁₁	1	2	yes	complemented
431	#416	C₂²×C₁₁	1	2	yes	complemented
432	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
433	#408	C₂²×C₁₁	1	2	yes	—
434	#408	C₂²×C₁₁	1	2	yes	—
435	#408	C₂²×C₁₁	1	2	yes	—
436	#408	C₂²×C₁₁	1	2	yes	—
437	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	—
438	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	—
439	C₂²×C₁₁	—	2	1	no	—
440	C₂²×C₁₁	—	2	1	no	—
441	C₂²×C₁₁	—	2	1	no	—
442	C₂²×C₁₁	—	2	1	no	—
443	C₂²×C₁₁	—	2	4	no	—
444	C₂²×C₁₁	—	2	1	no	—
445	C₂²×C₁₁	—	2	1	no	—
446	C₂²×C₁₁	—	2	4	no	—
447	C₂²×C₁₁	—	2	1	no	—
448	C₂²×C₁₁	—	2	4	no	—
449	C₂²×C₁₁	—	4	4	no	—
450	C₂²×C₁₁	—	4	2	no	—
451	C₂²×C₁₁	—	4	2	no	—
452	C₂²×C₁₁	—	4	2	no	—
453	C₂²×C₁₁	—	8	4	no	—
454	C₂²×C₁₁	#534	1	2	yes	—
455	C₂²×C₁₁	#578	1	2	yes	—
456	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
457	C₄×C₁₁	—	2	1	no	—
458	C₄×C₁₁	—	2	1	no	—
459	C₄×C₁₁	—	2	4	no	—
460	C₄×C₁₁	—	4	4	no	—
461	C₄×C₁₁	—	4	2	no	—
462	C₄×C₁₁	—	4	4	no	—
463	C₄×C₁₁	—	4	2	no	—
464	C₄×C₁₁	—	4	2	no	—
465	C₄×C₁₁	#534	1	2	yes	—
466	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
467	C₄×C₁₁	C₂×H(5,𝔽₂)	1	1	yes	characteristic
468	2₋¹⁺⁴	—	4	4	no	—
469	2₋¹⁺⁴	—	4	4	no	—
470	C₂×#41	—	2	4	no	—
471	C₂×#41	—	2	2	no	—
472	C₂×#41	—	4	2	no	—
473	C₂×#41	—	4	2	no	—
474	C₂×#41	D₄×C₁₁	1	2	yes	—
475	C₂×#41	D₄×C₁₁	1	2	yes	—
476	C₂×#41	C₂³×C₁₁	1	2	yes	—
477	C₂×#41	C₂³×C₁₁	1	4	yes	—
478	C₂×#41	C₂³×C₁₁	1	2	yes	—
479	C₂×#41	C₂³×C₁₁	1	2	yes	—
480	C₂²×Q₈	—	2	2	no	—
481	C₂²×Q₈	D₄×C₁₁	1	1	yes	characteristic
482	C₂²×Q₈	C₂³×C₁₁	1	2	yes	—
483	C₂²×Q₈	C₂³×C₁₁	1	4	yes	—
484	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
485	C₂²×D₄	D₄×C₁₁	1	2	yes	—
486	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
487	C₂³×C₄	C₂³×C₁₁	1	2	yes	—
488	#137	—	4	4	no	—
489	#135	—	4	2	no	—
490	C₂×Q₁₆	—	4	2	no	—
491	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
492	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
493	C₂×Q₁₆	C₂³×C₁₁	1	1	yes	characteristic
494	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
495	C₂×SD₁₆	C₂³×C₁₁	1	2	yes	—
496	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
497	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
498	C₂×M₁₆	—	4	2	no	—
499	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
500	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
501	C₂²×C₈	—	4	2	no	—
502	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
503	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
504	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
505	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
506	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
507	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
508	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
509	C₄⋊Q₈	—	2	2	no	—
510	C₄⋊Q₈	—	2	4	no	—
511	#124	—	2	2	no	—
512	#124	—	2	4	no	—
513	#123	—	2	4	no	—
514	#123	—	2	4	no	—
515	#123	—	2	4	no	—
516	#123	—	2	2	no	—
517	#123	—	2	4	no	—
518	C₂²⋊Q₈	—	2	2	no	—
519	C₂²⋊Q₈	—	2	4	no	—
520	C₂²⋊Q₈	—	2	2	no	—
521	C₂²⋊Q₈	—	2	4	no	—
522	C₂²⋊Q₈	—	2	2	no	—
523	C₂²⋊Q₈	—	2	4	no	—
524	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
525	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
526	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
527	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
528	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
529	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
530	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
531	#121	—	2	4	no	—
532	#121	—	2	4	no	—
533	#121	—	2	4	no	—
534	#121	—	2	2	no	—
535	#121	—	2	4	no	—
536	#121	C₂³×C₁₁	1	2	yes	—
537	#121	C₂³×C₁₁	1	4	yes	—
538	#121	C₂³×C₁₁	1	2	yes	—
539	#120	—	2	2	no	—
540	#120	—	2	4	no	—
541	C₄×Q₈	—	2	2	no	—
542	C₄×D₄	—	2	4	no	—
543	C₄×D₄	—	2	2	no	—
544	C₄×D₄	—	2	2	no	—
545	C₄×D₄	—	2	4	no	—
546	C₄×D₄	—	2	2	no	—
547	C₄×D₄	—	2	4	no	—
548	#117	C₂³×C₁₁	1	2	yes	—
549	#117	C₂³×C₁₁	1	4	yes	—
550	C₂×C₄⋊C₄	—	2	2	no	—
551	C₂×C₄⋊C₄	—	2	4	no	—
552	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
553	C₂×C₄⋊C₄	C₂³×C₁₁	1	4	yes	—
554	C₂×C₂²⋊C₄	—	2	2	no	—
555	C₂×C₂²⋊C₄	—	2	4	no	—
556	#107	C₂³×C₁₁	1	2	yes	—
557	#107	C₂³×C₁₁	1	2	yes	—
558	#107	C₂³×C₁₁	1	1	yes	characteristic
559	#107	C₂³×C₁₁	1	1	yes	characteristic
560	#107	C₂³×C₁₁	1	4	yes	—
561	#106	C₂³×C₁₁	1	2	yes	—
562	#106	C₂³×C₁₁	1	4	yes	—
563	#103	C₂³×C₁₁	1	4	yes	—
564	#103	C₂³×C₁₁	1	4	yes	—
565	#103	C₂³×C₁₁	1	2	yes	—
566	#103	C₂³×C₁₁	1	2	yes	—
567	#103	C₂³×C₁₁	1	4	yes	—
568	#103	C₂³×C₁₁	1	4	yes	—
569	#103	C₂³×C₁₁	1	4	yes	—
570	#102	C₂³×C₁₁	1	2	yes	—
571	#102	C₂³×C₁₁	1	2	yes	—
572	#102	C₂³×C₁₁	1	4	yes	—
573	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
574	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
575	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
576	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
577	C₂×C₁₁	—	2	2	no	—
578	C₂×C₁₁	—	2	2	no	—
579	C₂×C₁₁	—	4	1	no	—
580	C₂×C₁₁	—	4	4	no	—
581	C₂×C₁₁	—	8	2	no	—
582	C₂×C₁₁	C₂×#534	1	1	yes	characteristic
583	C₂×C₁₁	C₂×#578	1	1	yes	characteristic
584	C₂×C₁₁	#3584	1	1	yes	characteristic
585	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
586	C₂⁴	C₂×D₄×C₁₁	1	2	yes	—
587	#41	—	2	4	no	—
588	#41	—	2	4	no	—
589	#41	—	2	4	no	—
590	#41	—	2	4	no	—
591	#41	—	4	2	no	—
592	#41	—	4	2	no	—
593	#41	—	4	4	no	—
594	#41	—	4	4	no	—
595	#41	—	4	4	no	—
596	#41	—	4	4	no	—
597	#41	—	4	16	no	—
598	#41	—	4	8	no	—
599	C₂×Q₈	—	2	4	no	—
600	C₂×Q₈	—	2	2	no	—
601	C₂×Q₈	—	2	4	no	—
602	C₂×Q₈	—	2	4	no	—
603	C₂×Q₈	—	4	2	no	—
604	C₂×Q₈	—	4	4	no	—
605	C₂×Q₈	—	4	4	no	—
606	C₂×Q₈	—	4	8	no	—
607	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
608	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
609	C₂×Q₈	C₂⁴×C₁₁	1	4	yes	—
610	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
611	C₂×D₄	—	2	2	no	—
612	C₂×D₄	—	2	4	no	—
613	C₂×D₄	—	2	2	no	—
614	C₂×D₄	—	2	2	no	—
615	C₂×D₄	—	2	4	no	—
616	C₂×D₄	—	4	2	no	—
617	C₂×D₄	—	4	4	no	—
618	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
619	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
620	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
621	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
622	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
623	C₂²×C₄	—	2	2	no	—
624	C₂²×C₄	—	2	2	no	—
625	C₂²×C₄	—	2	4	no	—
626	C₂²×C₄	—	2	2	no	—
627	C₂²×C₄	—	2	4	no	—
628	C₂²×C₄	—	2	2	no	—
629	C₂²×C₄	—	2	4	no	—
630	C₂²×C₄	—	2	2	no	—
631	C₂²×C₄	—	4	2	no	—
632	C₂²×C₄	—	4	2	no	—
633	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
634	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
635	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
636	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
637	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
638	C₂²×C₄	C₂⁴×C₁₁	1	4	yes	—
639	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
640	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
641	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
642	Q₁₆	—	4	2	no	—
643	Q₁₆	—	4	2	no	—
644	Q₁₆	—	4	1	no	—
645	Q₁₆	—	4	4	no	—
646	SD₁₆	—	4	2	no	—
647	SD₁₆	—	4	4	no	—
648	D₈	—	4	1	no	—
649	M₁₆	—	2	4	no	—
650	M₁₆	—	4	2	no	—
651	C₂×C₈	—	2	2	no	—
652	C₂×C₈	—	2	2	no	—
653	C₂×C₈	—	4	1	no	—
654	C₂×C₈	—	4	1	no	—
655	C₂×C₈	—	4	1	no	—
656	C₂×C₈	—	4	1	no	—
657	C₂×C₈	—	4	2	no	—
658	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
659	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
660	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
661	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
662	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
663	C₄⋊C₄	—	2	4	no	—
664	C₄⋊C₄	—	2	2	no	—
665	C₄⋊C₄	—	2	4	no	—
666	C₄⋊C₄	—	2	4	no	—
667	C₄⋊C₄	—	2	4	no	—
668	C₄⋊C₄	—	2	4	no	—
669	C₄⋊C₄	—	2	2	no	—
670	C₄⋊C₄	—	2	4	no	—
671	C₄⋊C₄	—	2	2	no	—
672	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
673	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
674	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
675	C₂²⋊C₄	—	2	4	no	—
676	C₂²⋊C₄	—	2	2	no	—
677	C₂²⋊C₄	—	2	4	no	—
678	C₂²⋊C₄	—	2	4	no	—
679	C₂²⋊C₄	—	2	4	no	—
680	C₂²⋊C₄	—	2	4	no	—
681	C₂²⋊C₄	—	2	2	no	—
682	C₂²⋊C₄	—	2	2	no	—
683	C₂²⋊C₄	—	2	4	no	—
684	C₂²⋊C₄	—	2	2	no	—
685	C₂²⋊C₄	—	2	4	no	—
686	C₂²⋊C₄	—	2	2	no	—
687	C₄²	—	2	4	no	—
688	C₄²	—	2	2	no	—
689	C₁₁	#60770	1	1	yes	characteristic, direct product factor, Sylow
690	C₂³	—	2	2	no	—
691	C₂³	—	2	2	no	—
692	C₂³	—	2	4	no	—
693	C₂³	—	2	2	no	—
694	C₂³	—	4	1	no	—
695	C₂³	—	4	2	no	—
696	C₂³	—	4	2	no	—
697	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
698	C₂³	C₂²×D₄×C₁₁	1	4	yes	—
699	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
700	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
701	Q₈	—	2	4	no	—
702	Q₈	—	2	4	no	—
703	Q₈	—	2	2	no	—
704	Q₈	—	2	4	no	—
705	Q₈	—	2	2	no	—
706	Q₈	—	4	2	no	—
707	Q₈	—	4	8	no	—
708	Q₈	—	4	4	no	—
709	D₄	—	2	8	no	—
710	D₄	—	2	4	no	—
711	D₄	—	2	2	no	—
712	D₄	—	2	2	no	—
713	D₄	—	4	2	no	—
714	D₄	—	4	4	no	—
715	D₄	—	4	8	no	—
716	D₄	—	4	4	no	—
717	D₄	—	4	4	no	—
718	D₄	—	8	4	no	—
719	D₄	—	8	2	no	—
720	C₂×C₄	—	2	2	no	—
721	C₂×C₄	—	2	2	no	—
722	C₂×C₄	—	2	2	no	—
723	C₂×C₄	—	2	1	no	—
724	C₂×C₄	—	2	1	no	—
725	C₂×C₄	—	2	1	no	—
726	C₂×C₄	—	2	1	no	—
727	C₂×C₄	—	2	4	no	—
728	C₂×C₄	—	2	4	no	—
729	C₂×C₄	—	2	2	no	—
730	C₂×C₄	—	2	4	no	—
731	C₂×C₄	—	2	2	no	—
732	C₂×C₄	—	2	4	no	—
733	C₂×C₄	—	2	2	no	—
734	C₂×C₄	—	4	2	no	—
735	C₂×C₄	—	4	4	no	—
736	C₂×C₄	—	4	8	no	—
737	C₂×C₄	—	4	8	no	—
738	C₂×C₄	—	4	4	no	—
739	C₂×C₄	—	4	4	no	—
740	C₂×C₄	—	8	2	no	—
741	C₂×C₄	—	8	4	no	—
742	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
743	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
744	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
745	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
746	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
747	C₂×C₄	C₁₁×H(5,𝔽₂)	1	2	yes	—
748	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
749	C₈	—	2	1	no	—
750	C₈	—	2	1	no	—
751	C₈	—	2	1	no	—
752	C₈	—	2	1	no	—
753	C₈	—	2	4	no	—
754	C₂²	—	2	1	no	—
755	C₂²	—	2	1	no	—
756	C₂²	—	2	1	no	—
757	C₂²	—	2	1	no	—
758	C₂²	—	2	1	no	—
759	C₂²	—	2	4	no	—
760	C₂²	—	2	1	no	—
761	C₂²	—	2	4	no	—
762	C₂²	—	2	4	no	—
763	C₂²	—	2	1	no	—
764	C₂²	—	4	4	no	—
765	C₂²	—	4	2	no	—
766	C₂²	—	4	2	no	—
767	C₂²	—	4	2	no	—
768	C₂²	—	8	4	no	—
769	C₂²	C₁₁×#534	1	2	yes	—
770	C₂²	C₁₁×#578	1	2	yes	—
771	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
772	C₄	—	2	1	no	—
773	C₄	—	2	1	no	—
774	C₄	—	2	4	no	—
775	C₄	—	4	4	no	—
776	C₄	—	4	2	no	—
777	C₄	—	4	2	no	—
778	C₄	—	4	4	no	—
779	C₄	—	4	2	no	—
780	C₄	C₁₁×#534	1	2	yes	—
781	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
782	C₄	C₂×C₁₁×H(5,𝔽₂)	1	1	yes	characteristic
783	C₂	—	2	2	no	—
784	C₂	—	2	2	no	—
785	C₂	—	4	1	no	—
786	C₂	—	4	4	no	—
787	C₂	—	8	2	no	—
788	C₂	C₂×C₁₁×#534	1	1	yes	characteristic
789	C₂	C₂×C₁₁×#578	1	1	yes	characteristic
790	C₂	C₁₁×#3584	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. C₁₁×#3203	C₂	semidirect
3. C₁₁×#3202	C₂	semidirect
4. C₁₁×#3201	C₂	semidirect
5. C₁₁×#3191	C₂	semidirect
6. C₁₁×#3190	C₂	semidirect
7. C₁₁×#3189	C₂	semidirect
8. C₁₁×#3098	C₂	semidirect
9. C₁₁×#3097	C₂	semidirect
10. C₁₁×#3056	C₂	semidirect
11. C₁₁×#3050	C₂	semidirect
12. C₂×C₁₁×#467	C₂	semidirect
13. C₁₁×#3013	C₂	semidirect
14. C₁₁×#3011	C₂	semidirect
15. C₂×C₁₁×#408	C₂	semidirect
18. C₂×C₁₁×#137	C₂²	semidirect
19. C₂×C₁₁×#135	C₂²	semidirect
20. C₂²×C₁₁×Q₁₆	C₂²	semidirect
38. C₁₁×#485	C₂²	semidirect
39. C₁₁×#485	C₂²	semidirect
40. C₁₁×#485	C₂²	semidirect
41. C₁₁×#484	C₂²	semidirect
42. C₁₁×#484	C₂²	semidirect
43. C₁₁×#483	C₂²	semidirect
44. C₁₁×#482	C₂²	semidirect
45. C₁₁×#480	C₂²	semidirect
46. C₁₁×#470	C₂²	semidirect
47. C₁₁×#468	C₂²	semidirect
52. C₁₁×#467	C₂²	semidirect
53. C₁₁×#467	C₂²	semidirect
54. C₁₁×#467	C₂²	semidirect
56. C₁₁×#466	C₂²	semidirect
59. C₁₁×#465	C₂²	semidirect
60. C₁₁×#452	C₂²	semidirect
61. C₁₁×#452	C₂²	semidirect
62. C₁₁×#452	C₂²	semidirect
63. C₁₁×#451	C₂²	semidirect
64. C₁₁×#451	C₂²	semidirect
65. C₁₁×#451	C₂²	semidirect
66. C₁₁×#449	C₂²	semidirect
67. C₁₁×#448	C₂²	semidirect
68. C₁₁×#428	C₂²	semidirect
69. C₁₁×#427	C₂²	semidirect
70. C₂×C₁₁×#107	C₂²	semidirect
71. C₁₁×#419	C₂²	semidirect
72. C₁₁×#417	C₂²	semidirect
73. C₁₁×#416	C₂²	semidirect
74. C₂×C₁₁×#103	C₂²	semidirect
190. #60770	C₁₁	direct (N × H)
295. #3489	C₂×C₁₁	semidirect
296. #3203	C₂×C₁₁	semidirect
297. #3202	C₂×C₁₁	semidirect
298. #3201	C₂×C₁₁	semidirect
299. #3191	C₂×C₁₁	semidirect
300. #3190	C₂×C₁₁	semidirect
301. #3189	C₂×C₁₁	semidirect
302. #3098	C₂×C₁₁	semidirect
303. #3097	C₂×C₁₁	semidirect
304. #3056	C₂×C₁₁	semidirect
305. #3050	C₂×C₁₁	semidirect
306. C₂×#467	C₂×C₁₁	semidirect
307. #3013	C₂×C₁₁	semidirect
308. #3011	C₂×C₁₁	semidirect
309. C₂×#408	C₂×C₁₁	semidirect
376. C₂×#137	C₂²×C₁₁	semidirect
377. C₂×#135	C₂²×C₁₁	semidirect
378. C₂²×Q₁₆	C₂²×C₁₁	semidirect
396. #485	C₂²×C₁₁	semidirect
397. #485	C₂²×C₁₁	semidirect
398. #485	C₂²×C₁₁	semidirect
399. #484	C₂²×C₁₁	semidirect
400. #484	C₂²×C₁₁	semidirect
401. #483	C₂²×C₁₁	semidirect
402. #482	C₂²×C₁₁	semidirect
403. #480	C₂²×C₁₁	semidirect
404. #470	C₂²×C₁₁	semidirect
405. #468	C₂²×C₁₁	semidirect
410. #467	C₂²×C₁₁	semidirect
411. #467	C₂²×C₁₁	semidirect
412. #467	C₂²×C₁₁	semidirect
414. #466	C₂²×C₁₁	semidirect
417. #465	C₂²×C₁₁	semidirect
418. #452	C₂²×C₁₁	semidirect
419. #452	C₂²×C₁₁	semidirect
420. #452	C₂²×C₁₁	semidirect
421. #451	C₂²×C₁₁	semidirect
422. #451	C₂²×C₁₁	semidirect
423. #451	C₂²×C₁₁	semidirect
424. #449	C₂²×C₁₁	semidirect
425. #448	C₂²×C₁₁	semidirect
426. #428	C₂²×C₁₁	semidirect
427. #427	C₂²×C₁₁	semidirect
428. C₂×#107	C₂²×C₁₁	semidirect
429. #419	C₂²×C₁₁	semidirect
430. #417	C₂²×C₁₁	semidirect
431. #416	C₂²×C₁₁	semidirect
432. C₂×#103	C₂²×C₁₁	semidirect
689. C₁₁	#60770	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
C₁₁×#3203	2
C₁₁×#3202	2
C₁₁×#3201	2
C₁₁×#3191	2
C₁₁×#3190	2
C₁₁×#3189	2
C₁₁×#3098	2
C₁₁×#3097	2
C₁₁×#3056	2
C₁₁×#3050	2
C₂×C₁₁×#467	2
C₁₁×#3013	2
C₁₁×#3011	2
C₂×C₁₁×#408	2
#60770	11

Subgroups — C11×#60770 #14637963

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60770 #14637963