Subgroups — C₁₁×#61699 #14638892

Order 2816.

1854 conjugacy classes of subgroups.

The subgroup lattice has 868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3505	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#553	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3339	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3337	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3301	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3297	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3232	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3188	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3187	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3186	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3105	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3091	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₁×#484	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₁×#481	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₁×#2972	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#553	—	2	2	no	—
17	C₁₁×#553	—	2	2	no	—
18	C₁₁×#553	—	2	2	no	—
19	C₁₁×#553	C₂²	1	4	yes	—
20	C₁₁×#553	C₂²	1	4	yes	complemented
21	C₁₁×#553	C₂²	1	2	yes	complemented
22	C₁₁×#552	C₂²	1	2	yes	complemented
23	C₁₁×#551	—	2	2	no	—
24	C₁₁×#548	C₂²	1	2	yes	complemented
25	C₁₁×#546	C₂²	1	2	yes	complemented
26	C₁₁×#539	—	2	1	no	—
27	C₁₁×#538	—	2	1	no	—
28	C₁₁×#534	—	2	1	no	—
29	C₁₁×#529	C₂²	1	2	yes	—
30	C₂×C₁₁×#126	—	2	1	no	—
31	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
32	C₁₁×#525	C₂²	1	2	yes	—
33	C₂×C₁₁×#123	—	2	1	no	—
34	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₁×#121	—	2	1	no	—
36	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
38	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#518	—	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, complemented
43	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
44	C₂²×C₁₁×C₄⋊C₄	C₂²	1	1	yes	characteristic
45	C₁₁×#499	C₂²	1	4	yes	complemented
46	C₁₁×#488	C₂²	1	4	yes	complemented
47	C₁₁×#485	C₂²	1	4	yes	complemented
48	C₁₁×#484	C₂²	1	2	yes	complemented
49	C₁₁×#484	C₂²	1	4	yes	complemented
50	C₁₁×#484	C₂²	1	2	yes	complemented
51	C₁₁×#483	C₂²	1	2	yes	complemented
52	C₁₁×#482	C₂²	1	4	yes	complemented
53	C₁₁×#482	C₂²	1	4	yes	complemented
54	C₁₁×#481	C₂²	1	2	yes	—
55	C₁₁×#481	C₂²	1	2	yes	—
56	C₁₁×#481	C₂²	1	2	yes	complemented
57	C₁₁×#481	C₂²	1	4	yes	complemented
58	C₁₁×#480	C₂²	1	2	yes	—
59	C₁₁×#480	C₂²	1	2	yes	complemented
60	C₁₁×#479	C₂²	1	4	yes	complemented
61	C₁₁×#478	C₂²	1	4	yes	complemented
62	C₁₁×#478	C₂²	1	4	yes	complemented
63	C₁₁×#466	C₂²	1	4	yes	complemented
64	C₁₁×#466	C₂²	1	4	yes	complemented
65	C₁₁×#465	C₂²	1	4	yes	complemented
66	C₁₁×#465	C₂²	1	4	yes	complemented
67	C₁₁×#463	C₂²	1	4	yes	complemented
68	C₁₁×#450	C₂²	1	2	yes	complemented
69	C₁₁×#449	C₂²	1	4	yes	complemented
70	C₁₁×#448	C₂²	1	2	yes	complemented
71	C₁₁×#447	C₂²	1	2	yes	—
72	C₁₁×#447	C₂²	1	2	yes	complemented
73	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
74	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
75	C₈×D₄×C₁₁	C₂²	1	4	yes	complemented
76	C₈×D₄×C₁₁	C₂²	1	4	yes	complemented
77	C₁₁×#431	C₂²	1	2	yes	complemented
78	C₁₁×#427	C₂²	1	4	yes	complemented
79	C₂×C₁₁×#107	C₂²	1	2	yes	complemented
80	C₂×C₁₁×#106	C₂²	1	2	yes	complemented
81	C₁₁×#416	C₂²	1	4	yes	complemented
82	C₂×C₁₁×#103	C₂²	1	2	yes	complemented
83	C₂×C₁₁×#102	C₂²	1	2	yes	complemented
84	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
85	C₂×C₁₁×C₂²⋊C₈	C₂²	1	1	yes	characteristic
86	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
87	C₂×C₁₁×#41	C₂³	1	2	yes	—
88	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
89	C₂²×D₄×C₁₁	—	2	1	no	—
90	C₂²×D₄×C₁₁	—	2	1	no	—
91	C₂²×D₄×C₁₁	—	2	1	no	—
92	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
93	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
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	C₂³	1	1	yes	characteristic
98	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
99	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
100	C₂×C₁₁×D₈	C₂³	1	4	yes	—
101	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
102	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
104	C₁₁×#126	—	2	4	no	—
105	C₁₁×#126	—	2	4	no	—
106	C₁₁×#126	—	2	2	no	—
107	C₁₁×#126	—	2	2	no	—
108	C₁₁×#126	—	2	2	no	—
109	C₁₁×#125	—	2	2	no	—
110	C₁₁×#125	—	2	2	no	—
111	C₁₁×#125	C₂³	1	2	yes	—
112	C₁₁×#125	C₂³	1	4	yes	—
113	C₁₁×#124	—	2	2	no	—
114	C₁₁×#124	C₂³	1	2	yes	—
115	C₁₁×#123	—	2	2	no	—
116	C₁₁×#123	—	2	2	no	—
117	C₁₁×#123	—	2	2	no	—
118	C₁₁×#123	—	2	2	no	—
119	C₁₁×#123	—	2	4	no	—
120	C₁₁×#123	—	2	4	no	—
121	C₁₁×#123	—	2	2	no	—
122	C₁₁×C₂²⋊Q₈	—	2	1	no	—
123	C₁₁×C₂²⋊Q₈	—	2	1	no	—
124	C₁₁×C₂²⋊Q₈	—	2	2	no	—
125	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
126	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
127	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
128	C₁₁×#121	—	2	4	no	—
129	C₁₁×#121	—	2	4	no	—
130	C₁₁×#121	—	2	2	no	—
131	C₁₁×#121	—	2	2	no	—
132	C₁₁×#121	—	2	1	no	—
133	C₁₁×#121	—	2	1	no	—
134	C₁₁×#121	—	2	1	no	—
135	C₁₁×#121	—	2	1	no	—
136	C₁₁×#121	—	2	2	no	—
137	C₁₁×#121	—	2	2	no	—
138	C₁₁×#121	C₂³	1	2	yes	—
139	C₁₁×#121	C₂³	1	2	yes	—
140	C₁₁×#121	C₂³	1	2	yes	—
141	C₁₁×#121	C₂³	1	2	yes	—
142	C₁₁×#121	C₂³	1	4	yes	—
143	C₁₁×#121	C₂³	1	2	yes	—
144	C₁₁×#120	—	2	2	no	—
145	C₁₁×#120	—	2	2	no	—
146	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
147	C₄×D₄×C₁₁	—	2	2	no	—
148	C₄×D₄×C₁₁	—	2	2	no	—
149	C₄×D₄×C₁₁	—	2	2	no	—
150	C₄×D₄×C₁₁	—	2	4	no	—
151	C₄×D₄×C₁₁	—	2	4	no	—
152	C₄×D₄×C₁₁	—	2	2	no	—
153	C₄×D₄×C₁₁	—	2	2	no	—
154	C₄×D₄×C₁₁	—	2	2	no	—
155	C₄×D₄×C₁₁	D₄	1	2	yes	—
156	C₄×D₄×C₁₁	D₄	1	2	yes	—
157	C₄×D₄×C₁₁	C₂³	1	4	yes	—
158	C₄×D₄×C₁₁	C₂³	1	2	yes	—
159	C₄×D₄×C₁₁	C₂³	1	2	yes	—
160	C₄×D₄×C₁₁	C₂³	1	2	yes	—
161	C₁₁×#117	—	2	2	no	—
162	C₁₁×#117	—	2	2	no	—
163	C₁₁×#117	—	2	2	no	—
164	C₁₁×#117	C₂³	1	4	yes	—
165	C₁₁×#117	C₂³	1	2	yes	—
166	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
167	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
168	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
169	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
170	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
171	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
172	C₂×C₁₁×C₄⋊C₄	D₄	1	1	yes	characteristic
173	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
174	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
175	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
176	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
177	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
181	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
182	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
183	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
184	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
185	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
186	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
187	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
188	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
189	C₂×C₄²×C₁₁	—	2	1	no	—
190	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
191	C₁₁×#107	C₂³	1	4	yes	—
192	C₁₁×#107	C₂³	1	4	yes	—
193	C₁₁×#107	C₂³	1	4	yes	—
194	C₁₁×#106	C₂³	1	4	yes	—
195	C₁₁×#106	C₂³	1	4	yes	—
196	C₁₁×#106	C₂³	1	4	yes	—
197	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
198	C₁₁×#103	C₂³	1	4	yes	—
199	C₁₁×#103	C₂³	1	4	yes	—
200	C₁₁×#103	C₂³	1	4	yes	—
201	C₁₁×#102	C₂³	1	4	yes	—
202	C₁₁×#102	C₂³	1	4	yes	—
203	C₁₁×#102	C₂³	1	4	yes	—
204	C₁₁×#102	C₂³	1	4	yes	—
205	C₁₁×#102	C₂³	1	4	yes	—
206	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
207	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
208	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
209	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
210	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
211	C₄×C₈×C₁₁	C₂³	1	4	yes	—
212	#61699	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
213	C₂⁴×C₁₁	—	2	1	no	—
214	C₂⁴×C₁₁	—	2	1	no	—
215	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
216	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
217	C₁₁×#41	—	4	4	no	—
218	C₂×Q₈×C₁₁	—	2	1	no	—
219	C₂×Q₈×C₁₁	—	4	2	no	—
220	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
221	C₂×D₄×C₁₁	—	2	4	no	—
222	C₂×D₄×C₁₁	—	2	2	no	—
223	C₂×D₄×C₁₁	—	2	2	no	—
224	C₂×D₄×C₁₁	—	2	2	no	—
225	C₂×D₄×C₁₁	—	2	2	no	—
226	C₂×D₄×C₁₁	—	2	2	no	—
227	C₂×D₄×C₁₁	—	2	2	no	—
228	C₂×D₄×C₁₁	—	2	4	no	—
229	C₂×D₄×C₁₁	—	2	1	no	—
230	C₂×D₄×C₁₁	—	2	1	no	—
231	C₂×D₄×C₁₁	—	4	2	no	—
232	C₂×D₄×C₁₁	—	4	2	no	—
233	C₂×D₄×C₁₁	—	4	4	no	—
234	C₂×D₄×C₁₁	—	4	4	no	—
235	C₂×D₄×C₁₁	—	8	2	no	—
236	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
237	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
238	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
239	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
240	C₂²×C₄×C₁₁	—	2	1	no	—
241	C₂²×C₄×C₁₁	—	2	1	no	—
242	C₂²×C₄×C₁₁	—	2	1	no	—
243	C₂²×C₄×C₁₁	—	2	1	no	—
244	C₂²×C₄×C₁₁	—	2	1	no	—
245	C₂²×C₄×C₁₁	—	2	1	no	—
246	C₂²×C₄×C₁₁	—	2	2	no	—
247	C₂²×C₄×C₁₁	—	2	2	no	—
248	C₂²×C₄×C₁₁	—	2	2	no	—
249	C₂²×C₄×C₁₁	—	2	2	no	—
250	C₂²×C₄×C₁₁	—	2	4	no	—
251	C₂²×C₄×C₁₁	—	4	2	no	—
252	C₂²×C₄×C₁₁	—	4	2	no	—
253	C₂²×C₄×C₁₁	—	8	2	no	—
254	C₂²×C₄×C₁₁	—	8	2	no	—
255	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
257	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
259	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
260	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
261	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
262	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
263	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
264	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
265	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
266	C₁₁×SD₁₆	—	4	4	no	—
267	C₁₁×D₈	—	4	4	no	—
268	C₂×C₈×C₁₁	—	4	2	no	—
269	C₂×C₈×C₁₁	—	4	2	no	—
270	C₂×C₈×C₁₁	—	4	4	no	—
271	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
272	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
273	C₁₁×C₄⋊C₄	—	2	1	no	—
274	C₁₁×C₄⋊C₄	—	2	1	no	—
275	C₁₁×C₄⋊C₄	—	2	2	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	2	no	—
278	C₁₁×C₄⋊C₄	—	2	4	no	—
279	C₁₁×C₄⋊C₄	—	2	4	no	—
280	C₁₁×C₄⋊C₄	—	2	2	no	—
281	C₁₁×C₄⋊C₄	—	2	1	no	—
282	C₁₁×C₄⋊C₄	—	2	1	no	—
283	C₁₁×C₄⋊C₄	—	2	1	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	—	2	2	no	—
286	C₁₁×C₄⋊C₄	—	2	2	no	—
287	C₁₁×C₄⋊C₄	—	2	2	no	—
288	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
289	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
290	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
291	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
292	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
293	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
294	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
295	C₁₁×C₂²⋊C₄	—	2	2	no	—
296	C₁₁×C₂²⋊C₄	—	2	4	no	—
297	C₁₁×C₂²⋊C₄	—	2	2	no	—
298	C₁₁×C₂²⋊C₄	—	2	2	no	—
299	C₁₁×C₂²⋊C₄	—	2	2	no	—
300	C₁₁×C₂²⋊C₄	—	2	2	no	—
301	C₁₁×C₂²⋊C₄	—	2	4	no	—
302	C₁₁×C₂²⋊C₄	—	2	2	no	—
303	C₁₁×C₂²⋊C₄	—	2	2	no	—
304	C₁₁×C₂²⋊C₄	—	2	4	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	C₂×D₄	1	2	yes	—
311	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
312	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
313	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
314	C₄²×C₁₁	—	2	4	no	—
315	C₄²×C₁₁	—	2	2	no	—
316	C₄²×C₁₁	—	2	2	no	—
317	C₄²×C₁₁	C₂×D₄	1	2	yes	—
318	C₄²×C₁₁	C₂⁴	1	2	yes	—
319	#3505	C₂×C₁₁	1	1	yes	characteristic, complemented
320	C₂×#553	C₂×C₁₁	1	1	yes	characteristic, complemented
321	#3339	C₂×C₁₁	1	4	yes	complemented
322	#3337	C₂×C₁₁	1	4	yes	complemented
323	#3301	C₂×C₁₁	1	4	yes	complemented
324	#3297	C₂×C₁₁	1	4	yes	complemented
325	#3232	C₂×C₁₁	1	2	yes	complemented
326	#3188	C₂×C₁₁	1	2	yes	complemented
327	#3187	C₂×C₁₁	1	1	yes	characteristic, complemented
328	#3186	C₂×C₁₁	1	1	yes	characteristic, complemented
329	#3105	C₂×C₁₁	1	2	yes	complemented
330	#3091	C₂×C₁₁	1	2	yes	complemented
331	C₂×#484	C₂×C₁₁	1	1	yes	characteristic, complemented
332	C₂×#481	C₂×C₁₁	1	1	yes	characteristic, complemented
333	#2972	C₂×C₁₁	1	1	yes	characteristic, complemented
334	C₂³×C₁₁	—	2	2	no	—
335	C₂³×C₁₁	—	2	2	no	—
336	C₂³×C₁₁	—	2	2	no	—
337	C₂³×C₁₁	—	4	1	no	—
338	C₂³×C₁₁	—	4	1	no	—
339	C₂³×C₁₁	—	4	1	no	—
340	C₂³×C₁₁	—	4	1	no	—
341	C₂³×C₁₁	—	4	2	no	—
342	C₂³×C₁₁	—	4	2	no	—
343	C₂³×C₁₁	—	4	2	no	—
344	C₂³×C₁₁	—	4	2	no	—
345	C₂³×C₁₁	—	8	1	no	—
346	C₂³×C₁₁	—	8	1	no	—
347	C₂³×C₁₁	#135	1	4	yes	—
348	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
349	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
350	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
351	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
352	Q₈×C₁₁	—	2	4	no	—
353	Q₈×C₁₁	—	8	1	no	—
354	D₄×C₁₁	—	2	4	no	—
355	D₄×C₁₁	—	2	4	no	—
356	D₄×C₁₁	—	2	4	no	—
357	D₄×C₁₁	—	2	4	no	—
358	D₄×C₁₁	—	4	2	no	—
359	D₄×C₁₁	—	4	4	no	—
360	D₄×C₁₁	—	4	4	no	—
361	D₄×C₁₁	—	4	4	no	—
362	D₄×C₁₁	—	4	4	no	—
363	D₄×C₁₁	—	8	1	no	—
364	D₄×C₁₁	—	8	2	no	—
365	D₄×C₁₁	—	8	4	no	—
366	D₄×C₁₁	—	8	2	no	—
367	C₂×C₄×C₁₁	—	2	2	no	—
368	C₂×C₄×C₁₁	—	2	2	no	—
369	C₂×C₄×C₁₁	—	2	2	no	—
370	C₂×C₄×C₁₁	—	2	4	no	—
371	C₂×C₄×C₁₁	—	2	2	no	—
372	C₂×C₄×C₁₁	—	2	2	no	—
373	C₂×C₄×C₁₁	—	2	2	no	—
374	C₂×C₄×C₁₁	—	2	2	no	—
375	C₂×C₄×C₁₁	—	2	2	no	—
376	C₂×C₄×C₁₁	—	2	2	no	—
377	C₂×C₄×C₁₁	—	2	2	no	—
378	C₂×C₄×C₁₁	—	4	2	no	—
379	C₂×C₄×C₁₁	—	4	1	no	—
380	C₂×C₄×C₁₁	—	4	1	no	—
381	C₂×C₄×C₁₁	—	4	1	no	—
382	C₂×C₄×C₁₁	—	4	1	no	—
383	C₂×C₄×C₁₁	—	4	1	no	—
384	C₂×C₄×C₁₁	—	4	2	no	—
385	C₂×C₄×C₁₁	—	4	2	no	—
386	C₂×C₄×C₁₁	—	4	2	no	—
387	C₂×C₄×C₁₁	—	4	2	no	—
388	C₂×C₄×C₁₁	—	8	2	no	—
389	C₂×C₄×C₁₁	—	8	4	no	—
390	C₂×C₄×C₁₁	—	8	2	no	—
391	C₂×C₄×C₁₁	—	8	1	no	—
392	C₂×C₄×C₁₁	—	8	2	no	—
393	C₂×C₄×C₁₁	—	8	2	no	—
394	C₂×C₄×C₁₁	—	8	1	no	—
395	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
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	2	yes	—
399	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
400	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
401	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
402	C₈×C₁₁	—	2	4	no	—
403	C₈×C₁₁	—	2	4	no	—
404	#553	—	2	2	no	—
405	#553	—	2	2	no	—
406	#553	—	2	2	no	—
407	#553	C₂²×C₁₁	1	4	yes	—
408	#553	C₂²×C₁₁	1	2	yes	complemented
409	#553	C₂²×C₁₁	1	4	yes	complemented
410	#552	C₂²×C₁₁	1	2	yes	complemented
411	#551	—	2	2	no	—
412	#548	C₂²×C₁₁	1	2	yes	complemented
413	#546	C₂²×C₁₁	1	2	yes	complemented
414	#539	—	2	1	no	—
415	#538	—	2	1	no	—
416	#534	—	2	1	no	—
417	#529	C₂²×C₁₁	1	2	yes	—
418	C₂×#126	—	2	1	no	—
419	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic, complemented
420	#525	C₂²×C₁₁	1	2	yes	—
421	C₂×#123	—	2	1	no	—
422	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
423	C₂×#121	—	2	1	no	—
424	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
425	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
426	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic, complemented
427	#518	—	2	1	no	—
428	C₂×C₄×D₄	—	2	1	no	—
429	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
430	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
431	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
432	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
433	#499	C₂²×C₁₁	1	4	yes	complemented
434	#488	C₂²×C₁₁	1	4	yes	complemented
435	#485	C₂²×C₁₁	1	4	yes	complemented
436	#484	C₂²×C₁₁	1	4	yes	complemented
437	#484	C₂²×C₁₁	1	2	yes	complemented
438	#484	C₂²×C₁₁	1	2	yes	complemented
439	#483	C₂²×C₁₁	1	2	yes	complemented
440	#482	C₂²×C₁₁	1	4	yes	complemented
441	#482	C₂²×C₁₁	1	4	yes	complemented
442	#481	C₂²×C₁₁	1	2	yes	—
443	#481	C₂²×C₁₁	1	2	yes	—
444	#481	C₂²×C₁₁	1	2	yes	complemented
445	#481	C₂²×C₁₁	1	4	yes	complemented
446	#480	C₂²×C₁₁	1	2	yes	—
447	#480	C₂²×C₁₁	1	2	yes	complemented
448	#479	C₂²×C₁₁	1	4	yes	complemented
449	#478	C₂²×C₁₁	1	4	yes	complemented
450	#478	C₂²×C₁₁	1	4	yes	complemented
451	#466	C₂²×C₁₁	1	4	yes	complemented
452	#466	C₂²×C₁₁	1	4	yes	complemented
453	#465	C₂²×C₁₁	1	4	yes	complemented
454	#465	C₂²×C₁₁	1	4	yes	complemented
455	#463	C₂²×C₁₁	1	4	yes	complemented
456	#450	C₂²×C₁₁	1	2	yes	complemented
457	#449	C₂²×C₁₁	1	4	yes	complemented
458	#448	C₂²×C₁₁	1	2	yes	complemented
459	#447	C₂²×C₁₁	1	2	yes	—
460	#447	C₂²×C₁₁	1	2	yes	complemented
461	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
462	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
463	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
464	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
465	#431	C₂²×C₁₁	1	2	yes	complemented
466	#427	C₂²×C₁₁	1	4	yes	complemented
467	C₂×#107	C₂²×C₁₁	1	2	yes	complemented
468	C₂×#106	C₂²×C₁₁	1	2	yes	complemented
469	#416	C₂²×C₁₁	1	4	yes	complemented
470	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
471	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
472	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
473	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
474	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
475	C₂²×C₁₁	—	2	1	no	—
476	C₂²×C₁₁	—	2	1	no	—
477	C₂²×C₁₁	—	2	1	no	—
478	C₂²×C₁₁	—	2	1	no	—
479	C₂²×C₁₁	—	2	1	no	—
480	C₂²×C₁₁	—	2	1	no	—
481	C₂²×C₁₁	—	2	2	no	—
482	C₂²×C₁₁	—	2	2	no	—
483	C₂²×C₁₁	—	2	2	no	—
484	C₂²×C₁₁	—	4	4	no	—
485	C₂²×C₁₁	—	4	2	no	—
486	C₂²×C₁₁	—	4	2	no	—
487	C₂²×C₁₁	—	4	2	no	—
488	C₂²×C₁₁	—	4	2	no	—
489	C₂²×C₁₁	—	4	2	no	—
490	C₂²×C₁₁	—	4	2	no	—
491	C₂²×C₁₁	—	8	2	no	—
492	C₂²×C₁₁	—	8	4	no	—
493	C₂²×C₁₁	—	16	2	no	—
494	C₂²×C₁₁	C₂×#135	1	2	yes	—
495	C₂²×C₁₁	C₂×#135	1	2	yes	—
496	C₂²×C₁₁	C₂×#135	1	2	yes	—
497	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
498	C₄×C₁₁	—	2	2	no	—
499	C₄×C₁₁	—	2	1	no	—
500	C₄×C₁₁	—	2	2	no	—
501	C₄×C₁₁	—	2	1	no	—
502	C₄×C₁₁	—	2	1	no	—
503	C₄×C₁₁	—	2	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	—	4	2	no	—
509	C₄×C₁₁	—	4	2	no	—
510	C₄×C₁₁	#585	1	2	yes	—
511	C₂×#41	C₂³×C₁₁	1	2	yes	—
512	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
513	C₂²×D₄	—	2	1	no	—
514	C₂²×D₄	—	2	1	no	—
515	C₂²×D₄	—	2	1	no	—
516	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
517	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
518	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
519	C₂³×C₄	—	2	1	no	—
520	C₂³×C₄	—	2	1	no	—
521	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
522	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
523	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
524	C₂×D₈	C₂³×C₁₁	1	4	yes	—
525	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
526	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
527	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
528	#126	—	2	4	no	—
529	#126	—	2	4	no	—
530	#126	—	2	2	no	—
531	#126	—	2	2	no	—
532	#126	—	2	2	no	—
533	#125	—	2	2	no	—
534	#125	—	2	2	no	—
535	#125	C₂³×C₁₁	1	4	yes	—
536	#125	C₂³×C₁₁	1	2	yes	—
537	#124	—	2	2	no	—
538	#124	C₂³×C₁₁	1	2	yes	—
539	#123	—	2	2	no	—
540	#123	—	2	2	no	—
541	#123	—	2	2	no	—
542	#123	—	2	2	no	—
543	#123	—	2	4	no	—
544	#123	—	2	4	no	—
545	#123	—	2	2	no	—
546	C₂²⋊Q₈	—	2	1	no	—
547	C₂²⋊Q₈	—	2	1	no	—
548	C₂²⋊Q₈	—	2	2	no	—
549	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
550	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
551	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
552	#121	—	2	4	no	—
553	#121	—	2	4	no	—
554	#121	—	2	2	no	—
555	#121	—	2	2	no	—
556	#121	—	2	1	no	—
557	#121	—	2	1	no	—
558	#121	—	2	1	no	—
559	#121	—	2	1	no	—
560	#121	—	2	2	no	—
561	#121	—	2	2	no	—
562	#121	C₂³×C₁₁	1	2	yes	—
563	#121	C₂³×C₁₁	1	2	yes	—
564	#121	C₂³×C₁₁	1	2	yes	—
565	#121	C₂³×C₁₁	1	2	yes	—
566	#121	C₂³×C₁₁	1	4	yes	—
567	#121	C₂³×C₁₁	1	2	yes	—
568	#120	—	2	2	no	—
569	#120	—	2	2	no	—
570	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
571	C₄×D₄	—	2	2	no	—
572	C₄×D₄	—	2	2	no	—
573	C₄×D₄	—	2	2	no	—
574	C₄×D₄	—	2	4	no	—
575	C₄×D₄	—	2	4	no	—
576	C₄×D₄	—	2	2	no	—
577	C₄×D₄	—	2	2	no	—
578	C₄×D₄	—	2	2	no	—
579	C₄×D₄	D₄×C₁₁	1	2	yes	—
580	C₄×D₄	D₄×C₁₁	1	2	yes	—
581	C₄×D₄	C₂³×C₁₁	1	4	yes	—
582	C₄×D₄	C₂³×C₁₁	1	2	yes	—
583	C₄×D₄	C₂³×C₁₁	1	2	yes	—
584	C₄×D₄	C₂³×C₁₁	1	2	yes	—
585	#117	—	2	2	no	—
586	#117	—	2	2	no	—
587	#117	—	2	2	no	—
588	#117	C₂³×C₁₁	1	4	yes	—
589	#117	C₂³×C₁₁	1	2	yes	—
590	C₂×C₄⋊C₄	—	2	1	no	—
591	C₂×C₄⋊C₄	—	2	1	no	—
592	C₂×C₄⋊C₄	—	2	1	no	—
593	C₂×C₄⋊C₄	—	2	1	no	—
594	C₂×C₄⋊C₄	—	2	1	no	—
595	C₂×C₄⋊C₄	—	2	1	no	—
596	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
597	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
598	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
599	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
600	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
601	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
602	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
603	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
604	C₂×C₂²⋊C₄	—	2	1	no	—
605	C₂×C₂²⋊C₄	—	2	1	no	—
606	C₂×C₂²⋊C₄	—	2	1	no	—
607	C₂×C₂²⋊C₄	—	2	1	no	—
608	C₂×C₂²⋊C₄	—	2	1	no	—
609	C₂×C₂²⋊C₄	—	2	1	no	—
610	C₂×C₂²⋊C₄	—	2	2	no	—
611	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
612	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
613	C₂×C₄²	—	2	1	no	—
614	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
615	#107	C₂³×C₁₁	1	4	yes	—
616	#107	C₂³×C₁₁	1	4	yes	—
617	#107	C₂³×C₁₁	1	4	yes	—
618	#106	C₂³×C₁₁	1	4	yes	—
619	#106	C₂³×C₁₁	1	4	yes	—
620	#106	C₂³×C₁₁	1	4	yes	—
621	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
622	#103	C₂³×C₁₁	1	4	yes	—
623	#103	C₂³×C₁₁	1	4	yes	—
624	#103	C₂³×C₁₁	1	4	yes	—
625	#102	C₂³×C₁₁	1	4	yes	—
626	#102	C₂³×C₁₁	1	4	yes	—
627	#102	C₂³×C₁₁	1	4	yes	—
628	#102	C₂³×C₁₁	1	4	yes	—
629	#102	C₂³×C₁₁	1	4	yes	—
630	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
631	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
632	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
633	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
634	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
635	C₄×C₈	C₂³×C₁₁	1	4	yes	—
636	C₂×C₁₁	—	2	2	no	—
637	C₂×C₁₁	—	2	2	no	—
638	C₂×C₁₁	—	2	2	no	—
639	C₂×C₁₁	—	4	2	no	—
640	C₂×C₁₁	—	8	2	no	—
641	C₂×C₁₁	—	8	2	no	—
642	C₂×C₁₁	#3485	1	1	yes	characteristic
643	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
644	C₂×C₁₁	#3585	1	1	yes	characteristic
645	C₂⁴	—	2	1	no	—
646	C₂⁴	—	2	1	no	—
647	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
648	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
649	#41	—	4	4	no	—
650	C₂×Q₈	—	2	1	no	—
651	C₂×Q₈	—	4	2	no	—
652	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
653	C₂×D₄	—	2	4	no	—
654	C₂×D₄	—	2	2	no	—
655	C₂×D₄	—	2	2	no	—
656	C₂×D₄	—	2	2	no	—
657	C₂×D₄	—	2	2	no	—
658	C₂×D₄	—	2	2	no	—
659	C₂×D₄	—	2	2	no	—
660	C₂×D₄	—	2	4	no	—
661	C₂×D₄	—	2	1	no	—
662	C₂×D₄	—	2	1	no	—
663	C₂×D₄	—	4	2	no	—
664	C₂×D₄	—	4	2	no	—
665	C₂×D₄	—	4	4	no	—
666	C₂×D₄	—	4	4	no	—
667	C₂×D₄	—	8	2	no	—
668	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
669	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
670	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
671	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
672	C₂²×C₄	—	2	1	no	—
673	C₂²×C₄	—	2	1	no	—
674	C₂²×C₄	—	2	1	no	—
675	C₂²×C₄	—	2	1	no	—
676	C₂²×C₄	—	2	1	no	—
677	C₂²×C₄	—	2	1	no	—
678	C₂²×C₄	—	2	2	no	—
679	C₂²×C₄	—	2	2	no	—
680	C₂²×C₄	—	2	2	no	—
681	C₂²×C₄	—	2	2	no	—
682	C₂²×C₄	—	2	4	no	—
683	C₂²×C₄	—	4	2	no	—
684	C₂²×C₄	—	4	2	no	—
685	C₂²×C₄	—	8	2	no	—
686	C₂²×C₄	—	8	2	no	—
687	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
688	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
689	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
690	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
691	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
692	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
693	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
694	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
695	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
696	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
697	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
698	SD₁₆	—	4	4	no	—
699	D₈	—	4	4	no	—
700	C₂×C₈	—	4	2	no	—
701	C₂×C₈	—	4	4	no	—
702	C₂×C₈	—	4	2	no	—
703	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
704	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
705	C₄⋊C₄	—	2	1	no	—
706	C₄⋊C₄	—	2	1	no	—
707	C₄⋊C₄	—	2	2	no	—
708	C₄⋊C₄	—	2	2	no	—
709	C₄⋊C₄	—	2	2	no	—
710	C₄⋊C₄	—	2	4	no	—
711	C₄⋊C₄	—	2	4	no	—
712	C₄⋊C₄	—	2	2	no	—
713	C₄⋊C₄	—	2	1	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	C₂×D₄×C₁₁	1	2	yes	—
721	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
722	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
723	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
724	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
725	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
726	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
727	C₂²⋊C₄	—	2	2	no	—
728	C₂²⋊C₄	—	2	4	no	—
729	C₂²⋊C₄	—	2	2	no	—
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	4	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	C₂×D₄×C₁₁	1	2	yes	—
750	C₄²	C₂⁴×C₁₁	1	2	yes	—
751	C₁₁	#61699	1	1	yes	characteristic, direct product factor, Sylow
752	C₂³	—	2	2	no	—
753	C₂³	—	2	2	no	—
754	C₂³	—	2	2	no	—
755	C₂³	—	4	1	no	—
756	C₂³	—	4	1	no	—
757	C₂³	—	4	1	no	—
758	C₂³	—	4	1	no	—
759	C₂³	—	4	2	no	—
760	C₂³	—	4	2	no	—
761	C₂³	—	4	2	no	—
762	C₂³	—	4	2	no	—
763	C₂³	—	8	1	no	—
764	C₂³	—	8	1	no	—
765	C₂³	C₁₁×#135	1	4	yes	—
766	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
767	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
768	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
769	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
770	Q₈	—	2	4	no	—
771	Q₈	—	8	1	no	—
772	D₄	—	2	4	no	—
773	D₄	—	2	4	no	—
774	D₄	—	2	4	no	—
775	D₄	—	2	4	no	—
776	D₄	—	4	2	no	—
777	D₄	—	4	4	no	—
778	D₄	—	4	4	no	—
779	D₄	—	4	4	no	—
780	D₄	—	4	4	no	—
781	D₄	—	8	1	no	—
782	D₄	—	8	2	no	—
783	D₄	—	8	4	no	—
784	D₄	—	8	2	no	—
785	C₂×C₄	—	2	2	no	—
786	C₂×C₄	—	2	2	no	—
787	C₂×C₄	—	2	2	no	—
788	C₂×C₄	—	2	4	no	—
789	C₂×C₄	—	2	2	no	—
790	C₂×C₄	—	2	2	no	—
791	C₂×C₄	—	2	2	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	—	4	2	no	—
797	C₂×C₄	—	4	1	no	—
798	C₂×C₄	—	4	1	no	—
799	C₂×C₄	—	4	1	no	—
800	C₂×C₄	—	4	1	no	—
801	C₂×C₄	—	4	1	no	—
802	C₂×C₄	—	4	2	no	—
803	C₂×C₄	—	4	2	no	—
804	C₂×C₄	—	4	2	no	—
805	C₂×C₄	—	4	2	no	—
806	C₂×C₄	—	8	2	no	—
807	C₂×C₄	—	8	4	no	—
808	C₂×C₄	—	8	2	no	—
809	C₂×C₄	—	8	1	no	—
810	C₂×C₄	—	8	2	no	—
811	C₂×C₄	—	8	2	no	—
812	C₂×C₄	—	8	1	no	—
813	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
814	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
815	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
816	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
817	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
818	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
819	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
820	C₈	—	2	4	no	—
821	C₈	—	2	4	no	—
822	C₂²	—	2	1	no	—
823	C₂²	—	2	1	no	—
824	C₂²	—	2	1	no	—
825	C₂²	—	2	1	no	—
826	C₂²	—	2	1	no	—
827	C₂²	—	2	1	no	—
828	C₂²	—	2	2	no	—
829	C₂²	—	2	2	no	—
830	C₂²	—	2	2	no	—
831	C₂²	—	4	4	no	—
832	C₂²	—	4	2	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	—	8	2	no	—
839	C₂²	—	8	4	no	—
840	C₂²	—	16	2	no	—
841	C₂²	C₂×C₁₁×#135	1	2	yes	—
842	C₂²	C₂×C₁₁×#135	1	2	yes	—
843	C₂²	C₂×C₁₁×#135	1	2	yes	—
844	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
845	C₄	—	2	1	no	—
846	C₄	—	2	2	no	—
847	C₄	—	2	1	no	—
848	C₄	—	2	1	no	—
849	C₄	—	2	2	no	—
850	C₄	—	2	2	no	—
851	C₄	—	4	2	no	—
852	C₄	—	4	2	no	—
853	C₄	—	4	2	no	—
854	C₄	—	4	2	no	—
855	C₄	—	4	2	no	—
856	C₄	—	4	2	no	—
857	C₄	C₁₁×#585	1	2	yes	—
858	C₂	—	2	2	no	—
859	C₂	—	2	2	no	—
860	C₂	—	2	2	no	—
861	C₂	—	4	2	no	—
862	C₂	—	8	2	no	—
863	C₂	—	8	2	no	—
864	C₂	C₁₁×#3485	1	1	yes	characteristic
865	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
866	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 ◁ C₂×C₄×D₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3505	C₂	semidirect
2. C₂×C₁₁×#553	C₂	semidirect
3. C₁₁×#3339	C₂	semidirect
4. C₁₁×#3337	C₂	semidirect
5. C₁₁×#3301	C₂	semidirect
6. C₁₁×#3297	C₂	semidirect
7. C₁₁×#3232	C₂	semidirect
8. C₁₁×#3188	C₂	semidirect
9. C₁₁×#3187	C₂	semidirect
10. C₁₁×#3186	C₂	semidirect
11. C₁₁×#3105	C₂	semidirect
12. C₁₁×#3091	C₂	semidirect
13. C₂×C₁₁×#484	C₂	semidirect
14. C₂×C₁₁×#481	C₂	semidirect
15. C₁₁×#2972	C₂	semidirect
20. C₁₁×#553	C₂²	semidirect
21. C₁₁×#553	C₂²	semidirect
22. C₁₁×#552	C₂²	semidirect
24. C₁₁×#548	C₂²	semidirect
25. C₁₁×#546	C₂²	semidirect
31. C₂×C₁₁×#125	C₂²	semidirect
38. C₂×C₁₁×#121	C₂²	semidirect
42. C₂×C₄×D₄×C₁₁	C₂²	semidirect
43. C₂×C₁₁×#117	C₂²	semidirect
45. C₁₁×#499	C₂²	semidirect
46. C₁₁×#488	C₂²	semidirect
47. C₁₁×#485	C₂²	semidirect
48. C₁₁×#484	C₂²	semidirect
49. C₁₁×#484	C₂²	semidirect
50. C₁₁×#484	C₂²	semidirect
51. C₁₁×#483	C₂²	semidirect
52. C₁₁×#482	C₂²	semidirect
53. C₁₁×#482	C₂²	semidirect
56. C₁₁×#481	C₂²	semidirect
57. C₁₁×#481	C₂²	semidirect
59. C₁₁×#480	C₂²	semidirect
60. C₁₁×#479	C₂²	semidirect
61. C₁₁×#478	C₂²	semidirect
62. C₁₁×#478	C₂²	semidirect
63. C₁₁×#466	C₂²	semidirect
64. C₁₁×#466	C₂²	semidirect
65. C₁₁×#465	C₂²	semidirect
66. C₁₁×#465	C₂²	semidirect
67. C₁₁×#463	C₂²	semidirect
68. C₁₁×#450	C₂²	semidirect
69. C₁₁×#449	C₂²	semidirect
70. C₁₁×#448	C₂²	semidirect
72. C₁₁×#447	C₂²	semidirect
73. C₄×C₁₁×SD₁₆	C₂²	semidirect
74. C₄×C₁₁×D₈	C₂²	semidirect
75. C₈×D₄×C₁₁	C₂²	semidirect
76. C₈×D₄×C₁₁	C₂²	semidirect
77. C₁₁×#431	C₂²	semidirect
78. C₁₁×#427	C₂²	semidirect
79. C₂×C₁₁×#107	C₂²	semidirect
80. C₂×C₁₁×#106	C₂²	semidirect
81. C₁₁×#416	C₂²	semidirect
82. C₂×C₁₁×#103	C₂²	semidirect
83. C₂×C₁₁×#102	C₂²	semidirect
86. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
212. #61699	C₁₁	direct (N × H)
319. #3505	C₂×C₁₁	semidirect
320. C₂×#553	C₂×C₁₁	semidirect
321. #3339	C₂×C₁₁	semidirect
322. #3337	C₂×C₁₁	semidirect
323. #3301	C₂×C₁₁	semidirect
324. #3297	C₂×C₁₁	semidirect
325. #3232	C₂×C₁₁	semidirect
326. #3188	C₂×C₁₁	semidirect
327. #3187	C₂×C₁₁	semidirect
328. #3186	C₂×C₁₁	semidirect
329. #3105	C₂×C₁₁	semidirect
330. #3091	C₂×C₁₁	semidirect
331. C₂×#484	C₂×C₁₁	semidirect
332. C₂×#481	C₂×C₁₁	semidirect
333. #2972	C₂×C₁₁	semidirect
408. #553	C₂²×C₁₁	semidirect
409. #553	C₂²×C₁₁	semidirect
410. #552	C₂²×C₁₁	semidirect
412. #548	C₂²×C₁₁	semidirect
413. #546	C₂²×C₁₁	semidirect
419. C₂×#125	C₂²×C₁₁	semidirect
426. C₂×#121	C₂²×C₁₁	semidirect
430. C₂×C₄×D₄	C₂²×C₁₁	semidirect
431. C₂×#117	C₂²×C₁₁	semidirect
433. #499	C₂²×C₁₁	semidirect
434. #488	C₂²×C₁₁	semidirect
435. #485	C₂²×C₁₁	semidirect
436. #484	C₂²×C₁₁	semidirect
437. #484	C₂²×C₁₁	semidirect
438. #484	C₂²×C₁₁	semidirect
439. #483	C₂²×C₁₁	semidirect
440. #482	C₂²×C₁₁	semidirect
441. #482	C₂²×C₁₁	semidirect
444. #481	C₂²×C₁₁	semidirect
445. #481	C₂²×C₁₁	semidirect
447. #480	C₂²×C₁₁	semidirect
448. #479	C₂²×C₁₁	semidirect
449. #478	C₂²×C₁₁	semidirect
450. #478	C₂²×C₁₁	semidirect
451. #466	C₂²×C₁₁	semidirect
452. #466	C₂²×C₁₁	semidirect
453. #465	C₂²×C₁₁	semidirect
454. #465	C₂²×C₁₁	semidirect
455. #463	C₂²×C₁₁	semidirect
456. #450	C₂²×C₁₁	semidirect
457. #449	C₂²×C₁₁	semidirect
458. #448	C₂²×C₁₁	semidirect
460. #447	C₂²×C₁₁	semidirect
461. C₄×SD₁₆	C₂²×C₁₁	semidirect
462. C₄×D₈	C₂²×C₁₁	semidirect
463. C₈×D₄	C₂²×C₁₁	semidirect
464. C₈×D₄	C₂²×C₁₁	semidirect
465. #431	C₂²×C₁₁	semidirect
466. #427	C₂²×C₁₁	semidirect
467. C₂×#107	C₂²×C₁₁	semidirect
468. C₂×#106	C₂²×C₁₁	semidirect
469. #416	C₂²×C₁₁	semidirect
470. C₂×#103	C₂²×C₁₁	semidirect
471. C₂×#102	C₂²×C₁₁	semidirect
474. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
751. C₁₁	#61699	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×#3505	2
C₂×C₁₁×#553	2
C₁₁×#3339	2
C₁₁×#3337	2
C₁₁×#3301	2
C₁₁×#3297	2
C₁₁×#3232	2
C₁₁×#3188	2
C₁₁×#3187	2
C₁₁×#3186	2
C₁₁×#3105	2
C₁₁×#3091	2
C₂×C₁₁×#484	2
C₂×C₁₁×#481	2
C₁₁×#2972	2
#61699	11

Subgroups — C11×#61699 #14638892

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61699 #14638892