Subgroups — C₁₁×#61480 #14638673

Order 2816.

2010 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3519	C₂	1	2	yes	maximal, complemented
2	C₁₁×#3391	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3380	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#3366	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3341	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₁×#3339	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3325	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3318	C₂	1	4	yes	maximal, complemented
9	D₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic, complemented
10	D₄×C₁₁×D₈	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3176	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3169	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3122	C₂	1	4	yes	maximal, complemented
14	C₁₁×#3109	C₂	1	2	yes	maximal, complemented
15	C₁₁×#2966	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2948	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×C₁₁×D₈	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂²×C₁₁×D₈	C₂²	1	1	yes	characteristic
19	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
20	C₁₁×#555	C₂²	1	2	yes	complemented
21	C₁₁×#554	C₂²	1	2	yes	complemented
22	C₁₁×#553	—	2	2	no	—
23	C₁₁×#553	C₂²	1	4	yes	complemented
24	C₁₁×#550	C₂²	1	2	yes	complemented
25	C₁₁×#546	—	2	2	no	—
26	C₁₁×#546	—	2	4	no	—
27	D₄²×C₁₁	C₂²	1	4	yes	complemented
28	D₄²×C₁₁	C₂²	1	2	yes	complemented
29	C₁₁×#540	C₂²	1	4	yes	complemented
30	C₁₁×#538	—	2	4	no	—
31	C₁₁×#532	C₂²	1	2	yes	complemented
32	C₁₁×#529	C₂²	1	1	yes	characteristic
33	C₁₁×#525	—	2	2	no	—
34	C₂×C₁₁×#121	—	2	2	no	—
35	C₁₁×#518	C₂²	1	4	yes	complemented
36	C₂×C₄×D₄×C₁₁	C₂²	1	2	yes	complemented
37	C₁₁×#500	C₂²	1	1	yes	characteristic, complemented
38	C₁₁×#499	C₂²	1	2	yes	complemented
39	C₁₁×#493	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#493	C₂²	1	2	yes	complemented
41	C₁₁×#490	C₂²	1	4	yes	complemented
42	C₁₁×#486	C₂²	1	2	yes	complemented
43	C₁₁×#482	C₂²	1	4	yes	complemented
44	C₁₁×#482	C₂²	1	4	yes	complemented
45	C₁₁×#481	C₂²	1	4	yes	complemented
46	C₁₁×#478	C₂²	1	4	yes	complemented
47	C₁₁×#478	C₂²	1	4	yes	complemented
48	C₁₁×#476	C₂²	1	2	yes	complemented
49	C₁₁×#476	C₂²	1	2	yes	complemented
50	C₁₁×#469	C₂²	1	4	yes	complemented
51	C₁₁×#466	C₂²	1	2	yes	complemented
52	C₁₁×#466	C₂²	1	2	yes	complemented
53	C₁₁×#466	C₂²	1	2	yes	complemented
54	C₁₁×#466	C₂²	1	2	yes	complemented
55	C₁₁×#459	C₂²	1	2	yes	complemented
56	C₁₁×#459	C₂²	1	4	yes	complemented
57	C₁₁×#459	C₂²	1	4	yes	complemented
58	C₁₁×#459	C₂²	1	2	yes	complemented
59	C₁₁×#447	C₂²	1	4	yes	complemented
60	C₁₁×#447	C₂²	1	4	yes	complemented
61	C₁₁×#447	C₂²	1	4	yes	complemented
62	C₁₁×#446	C₂²	1	1	yes	characteristic, complemented
63	C₈×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
64	C₁₁×#442	C₂²	1	4	yes	complemented
65	C₁₁×#442	C₂²	1	4	yes	complemented
66	C₁₁×#442	C₂²	1	4	yes	complemented
67	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
68	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic
69	C₄×C₁₁×D₈	C₂²	1	2	yes	—
70	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
71	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
72	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
74	C₄×C₁₁×D₈	C₂²	1	1	yes	characteristic, complemented
75	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
76	C₄×C₁₁×D₈	C₂²	1	2	yes	complemented
77	C₁₁×#436	C₂²	1	1	yes	characteristic, complemented
78	C₁₁×#435	C₂²	1	2	yes	complemented
79	C₈×D₄×C₁₁	C₂²	1	2	yes	complemented
80	C₈×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
81	C₁₁×#433	C₂²	1	2	yes	complemented
82	C₁₁×#432	C₂²	1	1	yes	characteristic, complemented
83	C₁₁×#427	C₂²	1	2	yes	complemented
84	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic, complemented
85	C₁₁×#418	C₂²	1	4	yes	complemented
86	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
87	C₁₁×#405	C₂²	1	2	yes	complemented
88	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
89	C₂×C₁₁×#41	—	2	2	no	—
90	C₂×C₁₁×#41	—	2	2	no	—
91	C₂²×D₄×C₁₁	—	2	2	no	—
92	C₂²×D₄×C₁₁	—	2	4	no	—
93	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
94	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
95	C₂³×C₄×C₁₁	—	2	2	no	—
96	C₂×C₁₁×D₈	—	2	4	no	—
97	C₂×C₁₁×D₈	—	2	8	no	—
98	C₂×C₁₁×D₈	C₂³	1	2	yes	—
99	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
100	C₂×C₁₁×D₈	C₂³	1	2	yes	—
101	C₂×C₁₁×D₈	C₂³	1	4	yes	—
102	C₂×C₁₁×D₈	C₂³	1	2	yes	—
103	C₂×C₁₁×D₈	C₂³	1	4	yes	—
104	C₂×C₁₁×D₈	C₂³	1	1	yes	characteristic
105	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
106	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
107	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
108	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
109	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
110	C₁₁×#127	C₂³	1	4	yes	—
111	C₁₁×#127	C₂³	1	2	yes	—
112	C₁₁×#126	—	2	4	no	—
113	C₁₁×#126	D₄	1	2	yes	—
114	C₁₁×#125	D₄	1	1	yes	characteristic
115	C₁₁×#125	C₂³	1	4	yes	—
116	C₁₁×#124	—	2	4	no	—
117	C₁₁×#124	—	2	2	no	—
118	C₁₁×#124	D₄	1	1	yes	characteristic
119	C₁₁×#123	—	2	4	no	—
120	C₁₁×#123	—	2	4	no	—
121	C₁₁×#123	—	2	4	no	—
122	C₁₁×#123	D₄	1	2	yes	—
123	C₁₁×C₂²⋊Q₈	—	2	2	no	—
124	C₁₁×C₂²⋊Q₈	—	2	4	no	—
125	C₁₁×C₂²⋊Q₈	D₄	1	1	yes	characteristic
126	C₁₁×#121	—	2	4	no	—
127	C₁₁×#121	—	2	2	no	—
128	C₁₁×#121	—	2	2	no	—
129	C₁₁×#121	—	2	2	no	—
130	C₁₁×#121	—	2	2	no	—
131	C₁₁×#121	—	2	4	no	—
132	C₁₁×#121	—	2	4	no	—
133	C₁₁×#121	—	2	4	no	—
134	C₁₁×#121	—	2	4	no	—
135	C₁₁×#121	D₄	1	1	yes	characteristic
136	C₁₁×#121	C₂³	1	4	yes	—
137	C₁₁×#121	C₂³	1	4	yes	—
138	C₁₁×#121	C₂³	1	4	yes	—
139	C₁₁×#120	—	2	4	no	—
140	C₁₁×#120	—	2	4	no	—
141	C₁₁×#120	—	2	4	no	—
142	C₄×Q₈×C₁₁	C₂³	1	1	yes	characteristic
143	C₄×D₄×C₁₁	—	2	4	no	—
144	C₄×D₄×C₁₁	—	2	4	no	—
145	C₄×D₄×C₁₁	—	2	4	no	—
146	C₄×D₄×C₁₁	—	2	2	no	—
147	C₄×D₄×C₁₁	—	2	2	no	—
148	C₄×D₄×C₁₁	—	2	2	no	—
149	C₄×D₄×C₁₁	C₂³	1	2	yes	—
150	C₄×D₄×C₁₁	C₂³	1	2	yes	—
151	C₄×D₄×C₁₁	C₂³	1	2	yes	—
152	C₄×D₄×C₁₁	C₂³	1	2	yes	—
153	C₄×D₄×C₁₁	C₂³	1	4	yes	—
154	C₄×D₄×C₁₁	C₂³	1	4	yes	—
155	C₄×D₄×C₁₁	C₂³	1	4	yes	—
156	C₄×D₄×C₁₁	C₂³	1	2	yes	—
157	C₄×D₄×C₁₁	C₂³	1	1	yes	characteristic
158	C₁₁×#117	—	2	2	no	—
159	C₁₁×#117	C₂³	1	4	yes	—
160	C₁₁×#117	C₂³	1	2	yes	—
161	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
162	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
163	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
164	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
165	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
166	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
167	C₁₁×#107	C₂³	1	1	yes	characteristic
168	C₁₁×#107	C₂³	1	2	yes	—
169	C₁₁×#107	C₂³	1	2	yes	—
170	C₁₁×#107	C₂³	1	1	yes	characteristic
171	C₁₁×#107	C₂³	1	2	yes	—
172	C₁₁×#106	C₂³	1	4	yes	—
173	C₁₁×#106	C₂³	1	4	yes	—
174	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
175	C₁₁×C₄⋊C₈	C₂³	1	1	yes	characteristic
176	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
177	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₁×#102	C₂³	1	2	yes	—
179	C₁₁×#102	C₂³	1	4	yes	—
180	C₁₁×#102	C₂³	1	4	yes	—
181	C₁₁×#102	C₂³	1	4	yes	—
182	C₁₁×#102	C₂³	1	2	yes	—
183	C₁₁×#102	C₂³	1	2	yes	—
184	C₁₁×#102	C₂³	1	2	yes	—
185	C₁₁×#102	C₂³	1	4	yes	—
186	C₁₁×#102	C₂³	1	4	yes	—
187	C₁₁×#102	C₂³	1	4	yes	—
188	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
189	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
190	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
191	C₁₁×#97	C₂³	1	2	yes	—
192	C₁₁×#97	C₂³	1	2	yes	—
193	C₄×C₈×C₁₁	C₂³	1	2	yes	—
194	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
195	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
196	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
197	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
198	#61480	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
199	C₂⁴×C₁₁	—	2	2	no	—
200	C₂⁴×C₁₁	—	2	4	no	—
201	C₁₁×#41	—	8	4	no	—
202	C₁₁×#41	—	8	4	no	—
203	C₂×Q₈×C₁₁	—	2	2	no	—
204	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
205	C₂×D₄×C₁₁	—	2	4	no	—
206	C₂×D₄×C₁₁	—	2	8	no	—
207	C₂×D₄×C₁₁	—	2	4	no	—
208	C₂×D₄×C₁₁	—	2	4	no	—
209	C₂×D₄×C₁₁	—	2	4	no	—
210	C₂×D₄×C₁₁	—	2	4	no	—
211	C₂×D₄×C₁₁	—	2	2	no	—
212	C₂×D₄×C₁₁	—	2	2	no	—
213	C₂×D₄×C₁₁	—	2	4	no	—
214	C₂×D₄×C₁₁	—	2	2	no	—
215	C₂×D₄×C₁₁	—	2	4	no	—
216	C₂×D₄×C₁₁	—	4	2	no	—
217	C₂×D₄×C₁₁	—	4	4	no	—
218	C₂×D₄×C₁₁	—	8	4	no	—
219	C₂×D₄×C₁₁	—	8	8	no	—
220	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
221	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
222	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
223	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
224	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
225	C₂²×C₄×C₁₁	—	2	2	no	—
226	C₂²×C₄×C₁₁	—	2	2	no	—
227	C₂²×C₄×C₁₁	—	2	2	no	—
228	C₂²×C₄×C₁₁	—	2	2	no	—
229	C₂²×C₄×C₁₁	—	2	4	no	—
230	C₂²×C₄×C₁₁	—	2	4	no	—
231	C₂²×C₄×C₁₁	—	2	4	no	—
232	C₂²×C₄×C₁₁	—	2	2	no	—
233	C₂²×C₄×C₁₁	—	8	4	no	—
234	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
235	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
236	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
237	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
238	C₁₁×D₈	—	2	2	no	—
239	C₁₁×D₈	—	2	4	no	—
240	C₁₁×D₈	—	2	4	no	—
241	C₁₁×D₈	—	2	8	no	—
242	C₁₁×D₈	—	4	2	no	—
243	C₁₁×D₈	—	4	4	no	—
244	C₁₁×D₈	#41	1	4	yes	complemented
245	C₁₁×M₁₆	—	4	2	no	—
246	C₂×C₈×C₁₁	—	2	2	no	—
247	C₂×C₈×C₁₁	—	2	4	no	—
248	C₂×C₈×C₁₁	—	4	1	no	—
249	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
250	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
252	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
253	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
254	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
255	C₁₁×C₄⋊C₄	—	2	2	no	—
256	C₁₁×C₄⋊C₄	—	2	4	no	—
257	C₁₁×C₄⋊C₄	—	2	2	no	—
258	C₁₁×C₄⋊C₄	—	2	4	no	—
259	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
260	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
261	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
262	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
263	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
264	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
265	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
266	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
267	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
268	C₁₁×C₂²⋊C₄	—	2	4	no	—
269	C₁₁×C₂²⋊C₄	—	2	2	no	—
270	C₁₁×C₂²⋊C₄	—	2	4	no	—
271	C₁₁×C₂²⋊C₄	—	2	2	no	—
272	C₁₁×C₂²⋊C₄	—	2	4	no	—
273	C₁₁×C₂²⋊C₄	—	2	2	no	—
274	C₁₁×C₂²⋊C₄	—	2	4	no	—
275	C₁₁×C₂²⋊C₄	—	2	2	no	—
276	C₁₁×C₂²⋊C₄	—	2	4	no	—
277	C₁₁×C₂²⋊C₄	—	2	4	no	—
278	C₁₁×C₂²⋊C₄	—	2	4	no	—
279	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
280	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
281	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
282	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
283	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
284	C₄²×C₁₁	—	2	4	no	—
285	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
286	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
287	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
288	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
289	C₄²×C₁₁	C₂⁴	1	2	yes	—
290	#3519	C₂×C₁₁	1	2	yes	complemented
291	#3391	C₂×C₁₁	1	1	yes	characteristic, complemented
292	#3380	C₂×C₁₁	1	1	yes	characteristic, complemented
293	#3366	C₂×C₁₁	1	2	yes	complemented
294	#3341	C₂×C₁₁	1	1	yes	characteristic, complemented
295	#3339	C₂×C₁₁	1	2	yes	complemented
296	#3325	C₂×C₁₁	1	2	yes	complemented
297	#3318	C₂×C₁₁	1	4	yes	complemented
298	D₄×D₈	C₂×C₁₁	1	2	yes	complemented
299	D₄×D₈	C₂×C₁₁	1	1	yes	characteristic, complemented
300	#3176	C₂×C₁₁	1	2	yes	complemented
301	#3169	C₂×C₁₁	1	1	yes	characteristic, complemented
302	#3122	C₂×C₁₁	1	4	yes	complemented
303	#3109	C₂×C₁₁	1	2	yes	complemented
304	#2966	C₂×C₁₁	1	1	yes	characteristic, complemented
305	#2948	C₂×C₁₁	1	2	yes	complemented
306	C₂×C₄×D₈	C₂×C₁₁	1	1	yes	characteristic, complemented
307	C₂³×C₁₁	—	2	2	no	—
308	C₂³×C₁₁	—	2	2	no	—
309	C₂³×C₁₁	—	2	4	no	—
310	C₂³×C₁₁	—	4	4	no	—
311	C₂³×C₁₁	—	4	8	no	—
312	C₂³×C₁₁	—	4	4	no	—
313	C₂³×C₁₁	—	8	2	no	—
314	C₂³×C₁₁	—	8	4	no	—
315	C₂³×C₁₁	—	8	4	no	—
316	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
317	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
318	Q₈×C₁₁	—	2	2	no	—
319	Q₈×C₁₁	—	8	2	no	—
320	D₄×C₁₁	—	2	4	no	—
321	D₄×C₁₁	—	2	2	no	—
322	D₄×C₁₁	—	2	2	no	—
323	D₄×C₁₁	—	2	4	no	—
324	D₄×C₁₁	—	2	2	no	—
325	D₄×C₁₁	—	2	2	no	—
326	D₄×C₁₁	—	2	4	no	—
327	D₄×C₁₁	—	4	4	no	—
328	D₄×C₁₁	—	4	8	no	—
329	D₄×C₁₁	—	4	8	no	—
330	D₄×C₁₁	—	4	4	no	—
331	D₄×C₁₁	—	8	4	no	—
332	D₄×C₁₁	—	8	2	no	—
333	D₄×C₁₁	—	8	4	no	—
334	D₄×C₁₁	—	8	4	no	—
335	D₄×C₁₁	—	8	4	no	—
336	D₄×C₁₁	C₂×#41	1	4	yes	—
337	C₂×C₄×C₁₁	—	2	2	no	—
338	C₂×C₄×C₁₁	—	2	2	no	—
339	C₂×C₄×C₁₁	—	2	1	no	—
340	C₂×C₄×C₁₁	—	2	2	no	—
341	C₂×C₄×C₁₁	—	2	1	no	—
342	C₂×C₄×C₁₁	—	2	2	no	—
343	C₂×C₄×C₁₁	—	2	2	no	—
344	C₂×C₄×C₁₁	—	2	4	no	—
345	C₂×C₄×C₁₁	—	2	2	no	—
346	C₂×C₄×C₁₁	—	4	4	no	—
347	C₂×C₄×C₁₁	—	4	4	no	—
348	C₂×C₄×C₁₁	—	8	2	no	—
349	C₂×C₄×C₁₁	—	8	2	no	—
350	C₂×C₄×C₁₁	—	8	4	no	—
351	C₂×C₄×C₁₁	—	8	4	no	—
352	C₂×C₄×C₁₁	—	8	4	no	—
353	C₂×C₄×C₁₁	—	8	2	no	—
354	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
355	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
356	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
357	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
358	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
359	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
360	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
361	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
362	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
363	C₈×C₁₁	—	2	1	no	—
364	C₈×C₁₁	—	2	2	no	—
365	C₈×C₁₁	—	2	1	no	—
366	C₈×C₁₁	—	2	1	no	—
367	C₈×C₁₁	—	2	2	no	—
368	C₈×C₁₁	C₂×#41	1	2	yes	—
369	C₂²×D₈	C₂²×C₁₁	1	1	yes	characteristic
370	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
371	#555	C₂²×C₁₁	1	2	yes	complemented
372	#554	C₂²×C₁₁	1	2	yes	complemented
373	#553	—	2	2	no	—
374	#553	C₂²×C₁₁	1	4	yes	complemented
375	#550	C₂²×C₁₁	1	2	yes	complemented
376	#546	—	2	2	no	—
377	#546	—	2	4	no	—
378	D₄²	C₂²×C₁₁	1	4	yes	complemented
379	D₄²	C₂²×C₁₁	1	2	yes	complemented
380	#540	C₂²×C₁₁	1	4	yes	complemented
381	#538	—	2	4	no	—
382	#532	C₂²×C₁₁	1	2	yes	complemented
383	#529	C₂²×C₁₁	1	1	yes	characteristic
384	#525	—	2	2	no	—
385	C₂×#121	—	2	2	no	—
386	#518	C₂²×C₁₁	1	4	yes	complemented
387	C₂×C₄×D₄	C₂²×C₁₁	1	2	yes	complemented
388	#500	C₂²×C₁₁	1	1	yes	characteristic, complemented
389	#499	C₂²×C₁₁	1	2	yes	complemented
390	#493	C₂²×C₁₁	1	1	yes	characteristic, complemented
391	#493	C₂²×C₁₁	1	2	yes	complemented
392	#490	C₂²×C₁₁	1	4	yes	complemented
393	#486	C₂²×C₁₁	1	2	yes	complemented
394	#482	C₂²×C₁₁	1	4	yes	complemented
395	#482	C₂²×C₁₁	1	4	yes	complemented
396	#481	C₂²×C₁₁	1	4	yes	complemented
397	#478	C₂²×C₁₁	1	4	yes	complemented
398	#478	C₂²×C₁₁	1	4	yes	complemented
399	#476	C₂²×C₁₁	1	2	yes	complemented
400	#476	C₂²×C₁₁	1	2	yes	complemented
401	#469	C₂²×C₁₁	1	4	yes	complemented
402	#466	C₂²×C₁₁	1	2	yes	complemented
403	#466	C₂²×C₁₁	1	2	yes	complemented
404	#466	C₂²×C₁₁	1	2	yes	complemented
405	#466	C₂²×C₁₁	1	2	yes	complemented
406	#459	C₂²×C₁₁	1	2	yes	complemented
407	#459	C₂²×C₁₁	1	2	yes	complemented
408	#459	C₂²×C₁₁	1	4	yes	complemented
409	#459	C₂²×C₁₁	1	4	yes	complemented
410	#447	C₂²×C₁₁	1	4	yes	complemented
411	#447	C₂²×C₁₁	1	4	yes	complemented
412	#447	C₂²×C₁₁	1	4	yes	complemented
413	#446	C₂²×C₁₁	1	1	yes	characteristic, complemented
414	C₈×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
415	#442	C₂²×C₁₁	1	4	yes	complemented
416	#442	C₂²×C₁₁	1	4	yes	complemented
417	#442	C₂²×C₁₁	1	4	yes	complemented
418	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
419	C₄×D₈	C₂²×C₁₁	1	2	yes	—
420	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic
421	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
422	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
423	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
424	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
425	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
426	C₄×D₈	C₂²×C₁₁	1	2	yes	complemented
427	C₄×D₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
428	#436	C₂²×C₁₁	1	1	yes	characteristic, complemented
429	#435	C₂²×C₁₁	1	2	yes	complemented
430	C₈×D₄	C₂²×C₁₁	1	2	yes	complemented
431	C₈×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
432	#433	C₂²×C₁₁	1	2	yes	complemented
433	#432	C₂²×C₁₁	1	1	yes	characteristic, complemented
434	#427	C₂²×C₁₁	1	2	yes	complemented
435	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic, complemented
436	#418	C₂²×C₁₁	1	4	yes	complemented
437	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
438	#405	C₂²×C₁₁	1	2	yes	complemented
439	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
440	C₂²×C₁₁	—	2	1	no	—
441	C₂²×C₁₁	—	2	1	no	—
442	C₂²×C₁₁	—	2	2	no	—
443	C₂²×C₁₁	—	2	4	no	—
444	C₂²×C₁₁	—	2	2	no	—
445	C₂²×C₁₁	—	2	2	no	—
446	C₂²×C₁₁	—	4	2	no	—
447	C₂²×C₁₁	—	4	2	no	—
448	C₂²×C₁₁	—	4	2	no	—
449	C₂²×C₁₁	—	4	4	no	—
450	C₂²×C₁₁	—	4	2	no	—
451	C₂²×C₁₁	—	4	4	no	—
452	C₂²×C₁₁	—	4	4	no	—
453	C₂²×C₁₁	—	4	2	no	—
454	C₂²×C₁₁	—	8	8	no	—
455	C₂²×C₁₁	—	16	8	no	—
456	C₂²×C₁₁	#576	1	2	yes	—
457	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
458	C₄×C₁₁	—	2	1	no	—
459	C₄×C₁₁	—	2	2	no	—
460	C₄×C₁₁	—	2	1	no	—
461	C₄×C₁₁	—	2	1	no	—
462	C₄×C₁₁	—	2	1	no	—
463	C₄×C₁₁	—	2	2	no	—
464	C₄×C₁₁	—	2	2	no	—
465	C₄×C₁₁	—	4	2	no	—
466	C₄×C₁₁	—	4	2	no	—
467	C₄×C₁₁	—	4	4	no	—
468	C₄×C₁₁	#576	1	2	yes	—
469	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
470	C₄×C₁₁	#585	1	1	yes	characteristic
471	C₂×#41	—	2	2	no	—
472	C₂×#41	—	2	2	no	—
473	C₂²×D₄	—	2	2	no	—
474	C₂²×D₄	—	2	4	no	—
475	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
476	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
477	C₂³×C₄	—	2	2	no	—
478	C₂×D₈	—	2	4	no	—
479	C₂×D₈	—	2	8	no	—
480	C₂×D₈	C₂³×C₁₁	1	2	yes	—
481	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
482	C₂×D₈	C₂³×C₁₁	1	2	yes	—
483	C₂×D₈	C₂³×C₁₁	1	4	yes	—
484	C₂×D₈	C₂³×C₁₁	1	2	yes	—
485	C₂×D₈	C₂³×C₁₁	1	4	yes	—
486	C₂×D₈	C₂³×C₁₁	1	1	yes	characteristic
487	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
488	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
489	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
490	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
491	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
492	#127	C₂³×C₁₁	1	2	yes	—
493	#127	C₂³×C₁₁	1	4	yes	—
494	#126	—	2	4	no	—
495	#126	D₄×C₁₁	1	2	yes	—
496	#125	D₄×C₁₁	1	1	yes	characteristic
497	#125	C₂³×C₁₁	1	4	yes	—
498	#124	—	2	4	no	—
499	#124	—	2	2	no	—
500	#124	D₄×C₁₁	1	1	yes	characteristic
501	#123	—	2	4	no	—
502	#123	—	2	4	no	—
503	#123	—	2	4	no	—
504	#123	D₄×C₁₁	1	2	yes	—
505	C₂²⋊Q₈	—	2	2	no	—
506	C₂²⋊Q₈	—	2	4	no	—
507	C₂²⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
508	#121	—	2	4	no	—
509	#121	—	2	2	no	—
510	#121	—	2	2	no	—
511	#121	—	2	2	no	—
512	#121	—	2	2	no	—
513	#121	—	2	4	no	—
514	#121	—	2	4	no	—
515	#121	—	2	4	no	—
516	#121	—	2	4	no	—
517	#121	D₄×C₁₁	1	1	yes	characteristic
518	#121	C₂³×C₁₁	1	4	yes	—
519	#121	C₂³×C₁₁	1	4	yes	—
520	#121	C₂³×C₁₁	1	4	yes	—
521	#120	—	2	4	no	—
522	#120	—	2	4	no	—
523	#120	—	2	4	no	—
524	C₄×Q₈	C₂³×C₁₁	1	1	yes	characteristic
525	C₄×D₄	—	2	4	no	—
526	C₄×D₄	—	2	4	no	—
527	C₄×D₄	—	2	4	no	—
528	C₄×D₄	—	2	2	no	—
529	C₄×D₄	—	2	2	no	—
530	C₄×D₄	—	2	2	no	—
531	C₄×D₄	C₂³×C₁₁	1	2	yes	—
532	C₄×D₄	C₂³×C₁₁	1	2	yes	—
533	C₄×D₄	C₂³×C₁₁	1	2	yes	—
534	C₄×D₄	C₂³×C₁₁	1	2	yes	—
535	C₄×D₄	C₂³×C₁₁	1	4	yes	—
536	C₄×D₄	C₂³×C₁₁	1	4	yes	—
537	C₄×D₄	C₂³×C₁₁	1	4	yes	—
538	C₄×D₄	C₂³×C₁₁	1	2	yes	—
539	C₄×D₄	C₂³×C₁₁	1	1	yes	characteristic
540	#117	—	2	2	no	—
541	#117	C₂³×C₁₁	1	4	yes	—
542	#117	C₂³×C₁₁	1	2	yes	—
543	C₂×C₄⋊C₄	—	2	2	no	—
544	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
545	C₂×C₂²⋊C₄	—	2	2	no	—
546	C₂×C₂²⋊C₄	—	2	4	no	—
547	C₂×C₂²⋊C₄	—	2	4	no	—
548	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
549	#107	C₂³×C₁₁	1	1	yes	characteristic
550	#107	C₂³×C₁₁	1	1	yes	characteristic
551	#107	C₂³×C₁₁	1	2	yes	—
552	#107	C₂³×C₁₁	1	2	yes	—
553	#107	C₂³×C₁₁	1	2	yes	—
554	#106	C₂³×C₁₁	1	4	yes	—
555	#106	C₂³×C₁₁	1	4	yes	—
556	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
557	C₄⋊C₈	C₂³×C₁₁	1	1	yes	characteristic
558	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
559	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
560	#102	C₂³×C₁₁	1	2	yes	—
561	#102	C₂³×C₁₁	1	2	yes	—
562	#102	C₂³×C₁₁	1	2	yes	—
563	#102	C₂³×C₁₁	1	2	yes	—
564	#102	C₂³×C₁₁	1	4	yes	—
565	#102	C₂³×C₁₁	1	4	yes	—
566	#102	C₂³×C₁₁	1	4	yes	—
567	#102	C₂³×C₁₁	1	4	yes	—
568	#102	C₂³×C₁₁	1	4	yes	—
569	#102	C₂³×C₁₁	1	4	yes	—
570	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
571	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
572	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
573	#97	C₂³×C₁₁	1	2	yes	—
574	#97	C₂³×C₁₁	1	2	yes	—
575	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
576	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
577	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
578	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
579	C₄×C₈	C₂³×C₁₁	1	2	yes	—
580	C₂×C₁₁	—	2	2	no	—
581	C₂×C₁₁	—	4	2	no	—
582	C₂×C₁₁	—	4	4	no	—
583	C₂×C₁₁	—	8	2	no	—
584	C₂×C₁₁	—	8	4	no	—
585	C₂×C₁₁	D₄×#41	1	1	yes	characteristic
586	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
587	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
588	C₂⁴	—	2	2	no	—
589	C₂⁴	—	2	4	no	—
590	#41	—	8	4	no	—
591	#41	—	8	4	no	—
592	C₂×Q₈	—	2	2	no	—
593	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
594	C₂×D₄	—	2	4	no	—
595	C₂×D₄	—	2	8	no	—
596	C₂×D₄	—	2	4	no	—
597	C₂×D₄	—	2	4	no	—
598	C₂×D₄	—	2	4	no	—
599	C₂×D₄	—	2	4	no	—
600	C₂×D₄	—	2	2	no	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	2	4	no	—
603	C₂×D₄	—	2	2	no	—
604	C₂×D₄	—	2	4	no	—
605	C₂×D₄	—	4	2	no	—
606	C₂×D₄	—	4	4	no	—
607	C₂×D₄	—	8	4	no	—
608	C₂×D₄	—	8	8	no	—
609	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
610	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
611	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
612	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
613	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
614	C₂²×C₄	—	2	2	no	—
615	C₂²×C₄	—	2	2	no	—
616	C₂²×C₄	—	2	2	no	—
617	C₂²×C₄	—	2	2	no	—
618	C₂²×C₄	—	2	4	no	—
619	C₂²×C₄	—	2	4	no	—
620	C₂²×C₄	—	2	4	no	—
621	C₂²×C₄	—	2	2	no	—
622	C₂²×C₄	—	8	4	no	—
623	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
624	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
625	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
626	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
627	D₈	—	2	4	no	—
628	D₈	—	2	8	no	—
629	D₈	—	2	2	no	—
630	D₈	—	2	4	no	—
631	D₈	—	4	2	no	—
632	D₈	—	4	4	no	—
633	D₈	C₁₁×#41	1	4	yes	complemented
634	M₁₆	—	4	2	no	—
635	C₂×C₈	—	2	2	no	—
636	C₂×C₈	—	2	4	no	—
637	C₂×C₈	—	4	1	no	—
638	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
639	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
640	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
641	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
642	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
643	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
644	C₄⋊C₄	—	2	2	no	—
645	C₄⋊C₄	—	2	4	no	—
646	C₄⋊C₄	—	2	2	no	—
647	C₄⋊C₄	—	2	4	no	—
648	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
649	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
650	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
651	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
652	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
653	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
654	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
655	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
656	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
657	C₂²⋊C₄	—	2	4	no	—
658	C₂²⋊C₄	—	2	2	no	—
659	C₂²⋊C₄	—	2	4	no	—
660	C₂²⋊C₄	—	2	2	no	—
661	C₂²⋊C₄	—	2	4	no	—
662	C₂²⋊C₄	—	2	2	no	—
663	C₂²⋊C₄	—	2	4	no	—
664	C₂²⋊C₄	—	2	2	no	—
665	C₂²⋊C₄	—	2	4	no	—
666	C₂²⋊C₄	—	2	4	no	—
667	C₂²⋊C₄	—	2	4	no	—
668	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
669	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
670	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
671	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
672	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
673	C₄²	—	2	4	no	—
674	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
675	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
676	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
677	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
678	C₄²	C₂⁴×C₁₁	1	2	yes	—
679	C₁₁	#61480	1	1	yes	characteristic, direct product factor, Sylow
680	C₂³	—	2	2	no	—
681	C₂³	—	2	2	no	—
682	C₂³	—	2	4	no	—
683	C₂³	—	4	4	no	—
684	C₂³	—	4	8	no	—
685	C₂³	—	4	4	no	—
686	C₂³	—	8	2	no	—
687	C₂³	—	8	4	no	—
688	C₂³	—	8	4	no	—
689	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
690	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
691	Q₈	—	2	2	no	—
692	Q₈	—	8	2	no	—
693	D₄	—	2	4	no	—
694	D₄	—	2	2	no	—
695	D₄	—	2	2	no	—
696	D₄	—	2	4	no	—
697	D₄	—	2	2	no	—
698	D₄	—	2	2	no	—
699	D₄	—	2	4	no	—
700	D₄	—	4	4	no	—
701	D₄	—	4	8	no	—
702	D₄	—	4	8	no	—
703	D₄	—	4	4	no	—
704	D₄	—	8	4	no	—
705	D₄	—	8	2	no	—
706	D₄	—	8	4	no	—
707	D₄	—	8	4	no	—
708	D₄	—	8	4	no	—
709	D₄	C₂×C₁₁×#41	1	4	yes	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	1	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	1	no	—
715	C₂×C₄	—	2	2	no	—
716	C₂×C₄	—	2	2	no	—
717	C₂×C₄	—	2	4	no	—
718	C₂×C₄	—	2	2	no	—
719	C₂×C₄	—	4	4	no	—
720	C₂×C₄	—	4	4	no	—
721	C₂×C₄	—	8	2	no	—
722	C₂×C₄	—	8	2	no	—
723	C₂×C₄	—	8	4	no	—
724	C₂×C₄	—	8	4	no	—
725	C₂×C₄	—	8	4	no	—
726	C₂×C₄	—	8	2	no	—
727	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
728	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
729	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
730	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
731	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
732	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
733	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
734	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
735	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
736	C₈	—	2	1	no	—
737	C₈	—	2	2	no	—
738	C₈	—	2	1	no	—
739	C₈	—	2	1	no	—
740	C₈	—	2	2	no	—
741	C₈	C₂×C₁₁×#41	1	2	yes	—
742	C₂²	—	2	1	no	—
743	C₂²	—	2	1	no	—
744	C₂²	—	2	2	no	—
745	C₂²	—	2	4	no	—
746	C₂²	—	2	2	no	—
747	C₂²	—	2	2	no	—
748	C₂²	—	4	2	no	—
749	C₂²	—	4	2	no	—
750	C₂²	—	4	2	no	—
751	C₂²	—	4	4	no	—
752	C₂²	—	4	2	no	—
753	C₂²	—	4	4	no	—
754	C₂²	—	4	4	no	—
755	C₂²	—	4	2	no	—
756	C₂²	—	8	8	no	—
757	C₂²	—	16	8	no	—
758	C₂²	C₁₁×#576	1	2	yes	—
759	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
760	C₄	—	2	1	no	—
761	C₄	—	2	2	no	—
762	C₄	—	2	1	no	—
763	C₄	—	2	1	no	—
764	C₄	—	2	1	no	—
765	C₄	—	2	2	no	—
766	C₄	—	2	2	no	—
767	C₄	—	4	2	no	—
768	C₄	—	4	2	no	—
769	C₄	—	4	4	no	—
770	C₄	C₁₁×#576	1	2	yes	—
771	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
772	C₄	C₁₁×#585	1	1	yes	characteristic
773	C₂	—	2	2	no	—
774	C₂	—	4	2	no	—
775	C₂	—	4	4	no	—
776	C₂	—	8	2	no	—
777	C₂	—	8	4	no	—
778	C₂	D₄×C₁₁×#41	1	1	yes	characteristic
779	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
780	C₂	C₂×C₁₁×#576	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 ◁ C₁₁×#529 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3519	C₂	semidirect
2. C₁₁×#3391	C₂	semidirect
3. C₁₁×#3380	C₂	semidirect
4. C₁₁×#3366	C₂	semidirect
5. C₁₁×#3341	C₂	semidirect
6. C₁₁×#3339	C₂	semidirect
7. C₁₁×#3325	C₂	semidirect
8. C₁₁×#3318	C₂	semidirect
9. D₄×C₁₁×D₈	C₂	semidirect
10. D₄×C₁₁×D₈	C₂	semidirect
11. C₁₁×#3176	C₂	semidirect
12. C₁₁×#3169	C₂	semidirect
13. C₁₁×#3122	C₂	semidirect
14. C₁₁×#3109	C₂	semidirect
15. C₁₁×#2966	C₂	semidirect
16. C₁₁×#2948	C₂	semidirect
17. C₂×C₄×C₁₁×D₈	C₂	semidirect
20. C₁₁×#555	C₂²	semidirect
21. C₁₁×#554	C₂²	semidirect
23. C₁₁×#553	C₂²	semidirect
24. C₁₁×#550	C₂²	semidirect
27. D₄²×C₁₁	C₂²	semidirect
28. D₄²×C₁₁	C₂²	semidirect
29. C₁₁×#540	C₂²	semidirect
31. C₁₁×#532	C₂²	semidirect
35. C₁₁×#518	C₂²	semidirect
36. C₂×C₄×D₄×C₁₁	C₂²	semidirect
37. C₁₁×#500	C₂²	semidirect
38. C₁₁×#499	C₂²	semidirect
39. C₁₁×#493	C₂²	semidirect
40. C₁₁×#493	C₂²	semidirect
41. C₁₁×#490	C₂²	semidirect
42. C₁₁×#486	C₂²	semidirect
43. C₁₁×#482	C₂²	semidirect
44. C₁₁×#482	C₂²	semidirect
45. C₁₁×#481	C₂²	semidirect
46. C₁₁×#478	C₂²	semidirect
47. C₁₁×#478	C₂²	semidirect
48. C₁₁×#476	C₂²	semidirect
49. C₁₁×#476	C₂²	semidirect
50. C₁₁×#469	C₂²	semidirect
51. C₁₁×#466	C₂²	semidirect
52. C₁₁×#466	C₂²	semidirect
53. C₁₁×#466	C₂²	semidirect
54. C₁₁×#466	C₂²	semidirect
55. C₁₁×#459	C₂²	semidirect
56. C₁₁×#459	C₂²	semidirect
57. C₁₁×#459	C₂²	semidirect
58. C₁₁×#459	C₂²	semidirect
59. C₁₁×#447	C₂²	semidirect
60. C₁₁×#447	C₂²	semidirect
61. C₁₁×#447	C₂²	semidirect
62. C₁₁×#446	C₂²	semidirect
63. C₈×Q₈×C₁₁	C₂²	semidirect
64. C₁₁×#442	C₂²	semidirect
65. C₁₁×#442	C₂²	semidirect
66. C₁₁×#442	C₂²	semidirect
70. C₄×C₁₁×D₈	C₂²	semidirect
71. C₄×C₁₁×D₈	C₂²	semidirect
72. C₄×C₁₁×D₈	C₂²	semidirect
73. C₄×C₁₁×D₈	C₂²	semidirect
74. C₄×C₁₁×D₈	C₂²	semidirect
75. C₄×C₁₁×D₈	C₂²	semidirect
76. C₄×C₁₁×D₈	C₂²	semidirect
77. C₁₁×#436	C₂²	semidirect
78. C₁₁×#435	C₂²	semidirect
79. C₈×D₄×C₁₁	C₂²	semidirect
80. C₈×D₄×C₁₁	C₂²	semidirect
81. C₁₁×#433	C₂²	semidirect
82. C₁₁×#432	C₂²	semidirect
83. C₁₁×#427	C₂²	semidirect
84. C₂×C₁₁×#107	C₂²	semidirect
85. C₁₁×#418	C₂²	semidirect
86. C₂×C₁₁×#102	C₂²	semidirect
87. C₁₁×#405	C₂²	semidirect
88. C₂×C₄×C₈×C₁₁	C₂²	semidirect
198. #61480	C₁₁	direct (N × H)
244. C₁₁×D₈	#41	semidirect
290. #3519	C₂×C₁₁	semidirect
291. #3391	C₂×C₁₁	semidirect
292. #3380	C₂×C₁₁	semidirect
293. #3366	C₂×C₁₁	semidirect
294. #3341	C₂×C₁₁	semidirect
295. #3339	C₂×C₁₁	semidirect
296. #3325	C₂×C₁₁	semidirect
297. #3318	C₂×C₁₁	semidirect
298. D₄×D₈	C₂×C₁₁	semidirect
299. D₄×D₈	C₂×C₁₁	semidirect
300. #3176	C₂×C₁₁	semidirect
301. #3169	C₂×C₁₁	semidirect
302. #3122	C₂×C₁₁	semidirect
303. #3109	C₂×C₁₁	semidirect
304. #2966	C₂×C₁₁	semidirect
305. #2948	C₂×C₁₁	semidirect
306. C₂×C₄×D₈	C₂×C₁₁	semidirect
371. #555	C₂²×C₁₁	semidirect
372. #554	C₂²×C₁₁	semidirect
374. #553	C₂²×C₁₁	semidirect
375. #550	C₂²×C₁₁	semidirect
378. D₄²	C₂²×C₁₁	semidirect
379. D₄²	C₂²×C₁₁	semidirect
380. #540	C₂²×C₁₁	semidirect
382. #532	C₂²×C₁₁	semidirect
386. #518	C₂²×C₁₁	semidirect
387. C₂×C₄×D₄	C₂²×C₁₁	semidirect
388. #500	C₂²×C₁₁	semidirect
389. #499	C₂²×C₁₁	semidirect
390. #493	C₂²×C₁₁	semidirect
391. #493	C₂²×C₁₁	semidirect
392. #490	C₂²×C₁₁	semidirect
393. #486	C₂²×C₁₁	semidirect
394. #482	C₂²×C₁₁	semidirect
395. #482	C₂²×C₁₁	semidirect
396. #481	C₂²×C₁₁	semidirect
397. #478	C₂²×C₁₁	semidirect
398. #478	C₂²×C₁₁	semidirect
399. #476	C₂²×C₁₁	semidirect
400. #476	C₂²×C₁₁	semidirect
401. #469	C₂²×C₁₁	semidirect
402. #466	C₂²×C₁₁	semidirect
403. #466	C₂²×C₁₁	semidirect
404. #466	C₂²×C₁₁	semidirect
405. #466	C₂²×C₁₁	semidirect
406. #459	C₂²×C₁₁	semidirect
407. #459	C₂²×C₁₁	semidirect
408. #459	C₂²×C₁₁	semidirect
409. #459	C₂²×C₁₁	semidirect
410. #447	C₂²×C₁₁	semidirect
411. #447	C₂²×C₁₁	semidirect
412. #447	C₂²×C₁₁	semidirect
413. #446	C₂²×C₁₁	semidirect
414. C₈×Q₈	C₂²×C₁₁	semidirect
415. #442	C₂²×C₁₁	semidirect
416. #442	C₂²×C₁₁	semidirect
417. #442	C₂²×C₁₁	semidirect
421. C₄×D₈	C₂²×C₁₁	semidirect
422. C₄×D₈	C₂²×C₁₁	semidirect
423. C₄×D₈	C₂²×C₁₁	semidirect
424. C₄×D₈	C₂²×C₁₁	semidirect
425. C₄×D₈	C₂²×C₁₁	semidirect
426. C₄×D₈	C₂²×C₁₁	semidirect
427. C₄×D₈	C₂²×C₁₁	semidirect
428. #436	C₂²×C₁₁	semidirect
429. #435	C₂²×C₁₁	semidirect
430. C₈×D₄	C₂²×C₁₁	semidirect
431. C₈×D₄	C₂²×C₁₁	semidirect
432. #433	C₂²×C₁₁	semidirect
433. #432	C₂²×C₁₁	semidirect
434. #427	C₂²×C₁₁	semidirect
435. C₂×#107	C₂²×C₁₁	semidirect
436. #418	C₂²×C₁₁	semidirect
437. C₂×#102	C₂²×C₁₁	semidirect
438. #405	C₂²×C₁₁	semidirect
439. C₂×C₄×C₈	C₂²×C₁₁	semidirect
633. D₈	C₁₁×#41	semidirect
679. C₁₁	#61480	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×#3519	2
C₁₁×#3391	2
C₁₁×#3380	2
C₁₁×#3366	2
C₁₁×#3341	2
C₁₁×#3339	2
C₁₁×#3325	2
C₁₁×#3318	2
D₄×C₁₁×D₈	2
C₁₁×#3176	2
C₁₁×#3169	2
C₁₁×#3122	2
C₁₁×#3109	2
C₁₁×#2966	2
C₁₁×#2948	2
C₂×C₄×C₁₁×D₈	2
#61480	11

Subgroups — C11×#61480 #14638673

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61480 #14638673