Subgroups — C₁₁×#61696 #14638889

Order 2816.

1790 conjugacy classes of subgroups.

The subgroup lattice has 842 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
2	C₂×C₁₁×#552	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3337	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3336	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3300	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3296	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3232	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3190	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3189	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3187	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3108	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3091	C₂	1	2	yes	maximal, complemented
13	C₂×C₁₁×#483	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₁×#480	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	C₂²	1	2	yes	—
18	C₁₁×#552	—	2	2	no	—
19	C₁₁×#552	—	2	2	no	—
20	C₁₁×#552	C₂²	1	4	yes	—
21	C₁₁×#552	C₂²	1	2	yes	—
22	C₁₁×#552	C₂²	1	4	yes	complemented
23	C₁₁×#551	—	2	2	no	—
24	C₁₁×#548	C₂²	1	2	yes	—
25	C₁₁×#546	C₂²	1	2	yes	—
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	—	2	1	no	—
32	C₂×C₁₁×#125	C₂²	1	1	yes	characteristic, complemented
33	C₁₁×#525	C₂²	1	2	yes	—
34	C₂×C₁₁×#123	—	2	1	no	—
35	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₁₁×#121	C₂²	1	1	yes	characteristic
39	C₁₁×#518	—	2	1	no	—
40	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₁₁×#117	—	2	1	no	—
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×#485	C₂²	1	4	yes	complemented
49	C₁₁×#484	C₂²	1	2	yes	complemented
50	C₁₁×#484	C₂²	1	2	yes	complemented
51	C₁₁×#483	C₂²	1	2	yes	complemented
52	C₁₁×#483	C₂²	1	2	yes	complemented
53	C₁₁×#483	C₂²	1	4	yes	complemented
54	C₁₁×#483	C₂²	1	2	yes	complemented
55	C₁₁×#482	C₂²	1	4	yes	complemented
56	C₁₁×#481	C₂²	1	2	yes	—
57	C₁₁×#480	C₂²	1	2	yes	—
58	C₁₁×#480	C₂²	1	2	yes	—
59	C₁₁×#480	C₂²	1	4	yes	complemented
60	C₁₁×#479	C₂²	1	4	yes	complemented
61	C₁₁×#479	C₂²	1	4	yes	complemented
62	C₁₁×#478	C₂²	1	4	yes	complemented
63	C₁₁×#467	C₂²	1	4	yes	complemented
64	C₁₁×#467	C₂²	1	4	yes	complemented
65	C₁₁×#465	C₂²	1	4	yes	complemented
66	C₁₁×#465	C₂²	1	4	yes	complemented
67	C₁₁×#464	C₂²	1	4	yes	complemented
68	C₁₁×#452	C₂²	1	4	yes	complemented
69	C₁₁×#451	C₂²	1	2	yes	complemented
70	C₁₁×#451	C₂²	1	2	yes	complemented
71	C₁₁×#450	C₂²	1	2	yes	complemented
72	C₁₁×#448	C₂²	1	2	yes	—
73	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
74	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
75	C₈×D₄×C₁₁	C₂²	1	4	yes	—
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×Q₈×C₁₁	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₁₁	—	2	1	no	—
91	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
92	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
93	C₂³×C₄×C₁₁	—	2	1	no	—
94	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
95	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
96	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
97	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
98	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
99	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
100	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
101	C₁₁×#126	—	2	2	no	—
102	C₁₁×#126	—	2	4	no	—
103	C₁₁×#126	—	2	4	no	—
104	C₁₁×#126	—	2	2	no	—
105	C₁₁×#126	—	2	2	no	—
106	C₁₁×#125	—	2	4	no	—
107	C₁₁×#125	—	2	4	no	—
108	C₁₁×#125	—	2	2	no	—
109	C₁₁×#125	—	2	2	no	—
110	C₁₁×#125	C₂³	1	2	yes	—
111	C₁₁×#125	C₂³	1	4	yes	—
112	C₁₁×#124	—	2	2	no	—
113	C₁₁×#124	C₂³	1	2	yes	—
114	C₁₁×#123	—	2	4	no	—
115	C₁₁×#123	—	2	4	no	—
116	C₁₁×#123	—	2	2	no	—
117	C₁₁×#123	—	2	2	no	—
118	C₁₁×#123	—	2	2	no	—
119	C₁₁×#123	—	2	2	no	—
120	C₁₁×#123	—	2	2	no	—
121	C₁₁×C₂²⋊Q₈	—	2	1	no	—
122	C₁₁×C₂²⋊Q₈	—	2	1	no	—
123	C₁₁×C₂²⋊Q₈	—	2	1	no	—
124	C₁₁×C₂²⋊Q₈	—	2	1	no	—
125	C₁₁×C₂²⋊Q₈	—	2	2	no	—
126	C₁₁×C₂²⋊Q₈	—	2	2	no	—
127	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
128	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
129	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
130	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
131	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
132	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
133	C₁₁×#121	—	2	2	no	—
134	C₁₁×#121	—	2	2	no	—
135	C₁₁×#121	—	2	1	no	—
136	C₁₁×#121	—	2	1	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×#120	—	2	2	no	—
142	C₁₁×#120	—	2	2	no	—
143	C₄×Q₈×C₁₁	—	2	2	no	—
144	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
145	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
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	—	2	2	no	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	D₄	1	2	yes	—
152	C₄×D₄×C₁₁	D₄	1	2	yes	—
153	C₄×D₄×C₁₁	C₂³	1	2	yes	—
154	C₄×D₄×C₁₁	C₂³	1	2	yes	—
155	C₄×D₄×C₁₁	C₂³	1	2	yes	—
156	C₁₁×#117	—	2	2	no	—
157	C₁₁×#117	—	2	4	no	—
158	C₁₁×#117	—	2	4	no	—
159	C₁₁×#117	—	2	2	no	—
160	C₁₁×#117	—	2	2	no	—
161	C₁₁×#117	C₂³	1	4	yes	—
162	C₁₁×#117	C₂³	1	2	yes	—
163	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
164	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
165	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
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	2	no	—
186	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
187	C₂×C₁₁×C₂²⋊C₄	D₄	1	1	yes	characteristic
188	C₂×C₄²×C₁₁	—	2	1	no	—
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×#103	C₂³	1	4	yes	—
202	C₁₁×#103	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	#61696	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
213	C₂⁴×C₁₁	—	2	1	no	—
214	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
215	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
216	C₁₁×#41	—	4	4	no	—
217	C₂×Q₈×C₁₁	—	2	1	no	—
218	C₂×Q₈×C₁₁	—	2	1	no	—
219	C₂×Q₈×C₁₁	—	4	2	no	—
220	C₂×Q₈×C₁₁	—	4	2	no	—
221	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
222	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
223	C₂×D₄×C₁₁	—	2	4	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	1	no	—
229	C₂×D₄×C₁₁	—	4	2	no	—
230	C₂×D₄×C₁₁	—	4	4	no	—
231	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
232	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
233	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
234	C₂²×C₄×C₁₁	—	2	1	no	—
235	C₂²×C₄×C₁₁	—	2	1	no	—
236	C₂²×C₄×C₁₁	—	2	1	no	—
237	C₂²×C₄×C₁₁	—	2	1	no	—
238	C₂²×C₄×C₁₁	—	2	1	no	—
239	C₂²×C₄×C₁₁	—	2	2	no	—
240	C₂²×C₄×C₁₁	—	2	2	no	—
241	C₂²×C₄×C₁₁	—	2	1	no	—
242	C₂²×C₄×C₁₁	—	2	1	no	—
243	C₂²×C₄×C₁₁	—	2	2	no	—
244	C₂²×C₄×C₁₁	—	2	2	no	—
245	C₂²×C₄×C₁₁	—	4	2	no	—
246	C₂²×C₄×C₁₁	—	4	2	no	—
247	C₂²×C₄×C₁₁	—	4	4	no	—
248	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
249	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
250	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
251	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
252	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
253	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
254	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
255	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
256	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
257	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
258	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
259	C₁₁×Q₁₆	—	4	4	no	—
260	C₁₁×SD₁₆	—	4	4	no	—
261	C₂×C₈×C₁₁	—	4	2	no	—
262	C₂×C₈×C₁₁	—	4	2	no	—
263	C₂×C₈×C₁₁	—	4	4	no	—
264	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
265	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
266	C₁₁×C₄⋊C₄	—	2	1	no	—
267	C₁₁×C₄⋊C₄	—	2	1	no	—
268	C₁₁×C₄⋊C₄	—	2	2	no	—
269	C₁₁×C₄⋊C₄	—	2	2	no	—
270	C₁₁×C₄⋊C₄	—	2	4	no	—
271	C₁₁×C₄⋊C₄	—	2	4	no	—
272	C₁₁×C₄⋊C₄	—	2	2	no	—
273	C₁₁×C₄⋊C₄	—	2	4	no	—
274	C₁₁×C₄⋊C₄	—	2	2	no	—
275	C₁₁×C₄⋊C₄	—	2	2	no	—
276	C₁₁×C₄⋊C₄	—	2	2	no	—
277	C₁₁×C₄⋊C₄	—	2	4	no	—
278	C₁₁×C₄⋊C₄	—	2	1	no	—
279	C₁₁×C₄⋊C₄	—	2	1	no	—
280	C₁₁×C₄⋊C₄	—	2	1	no	—
281	C₁₁×C₄⋊C₄	—	2	2	no	—
282	C₁₁×C₄⋊C₄	—	2	2	no	—
283	C₁₁×C₄⋊C₄	—	2	2	no	—
284	C₁₁×C₄⋊C₄	—	2	2	no	—
285	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
286	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
287	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
288	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
289	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
290	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
291	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
292	C₁₁×C₂²⋊C₄	—	2	2	no	—
293	C₁₁×C₂²⋊C₄	—	2	2	no	—
294	C₁₁×C₂²⋊C₄	—	2	2	no	—
295	C₁₁×C₂²⋊C₄	—	2	4	no	—
296	C₁₁×C₂²⋊C₄	—	2	2	no	—
297	C₁₁×C₂²⋊C₄	—	2	4	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	2	no	—
302	C₁₁×C₂²⋊C₄	—	2	2	no	—
303	C₁₁×C₂²⋊C₄	—	2	2	no	—
304	C₁₁×C₂²⋊C₄	—	2	2	no	—
305	C₁₁×C₂²⋊C₄	—	2	2	no	—
306	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
307	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
308	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
309	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
310	C₄²×C₁₁	—	2	4	no	—
311	C₄²×C₁₁	—	2	4	no	—
312	C₄²×C₁₁	—	2	2	no	—
313	C₄²×C₁₁	—	2	2	no	—
314	C₄²×C₁₁	C₂×D₄	1	2	yes	—
315	C₄²×C₁₁	C₂⁴	1	2	yes	—
316	#3505	C₂×C₁₁	1	1	yes	characteristic
317	C₂×#552	C₂×C₁₁	1	1	yes	characteristic, complemented
318	#3337	C₂×C₁₁	1	4	yes	complemented
319	#3336	C₂×C₁₁	1	4	yes	complemented
320	#3300	C₂×C₁₁	1	4	yes	complemented
321	#3296	C₂×C₁₁	1	4	yes	complemented
322	#3232	C₂×C₁₁	1	2	yes	complemented
323	#3190	C₂×C₁₁	1	2	yes	complemented
324	#3189	C₂×C₁₁	1	1	yes	characteristic, complemented
325	#3187	C₂×C₁₁	1	1	yes	characteristic, complemented
326	#3108	C₂×C₁₁	1	2	yes	complemented
327	#3091	C₂×C₁₁	1	2	yes	complemented
328	C₂×#483	C₂×C₁₁	1	1	yes	characteristic, complemented
329	C₂×#480	C₂×C₁₁	1	1	yes	characteristic, complemented
330	#2972	C₂×C₁₁	1	1	yes	characteristic, complemented
331	C₂³×C₁₁	—	2	2	no	—
332	C₂³×C₁₁	—	2	2	no	—
333	C₂³×C₁₁	—	4	1	no	—
334	C₂³×C₁₁	—	4	1	no	—
335	C₂³×C₁₁	—	4	1	no	—
336	C₂³×C₁₁	—	4	1	no	—
337	C₂³×C₁₁	—	4	2	no	—
338	C₂³×C₁₁	—	8	1	no	—
339	C₂³×C₁₁	—	8	1	no	—
340	C₂³×C₁₁	#135	1	4	yes	—
341	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
342	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
343	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
344	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
345	Q₈×C₁₁	—	2	4	no	—
346	Q₈×C₁₁	—	2	4	no	—
347	Q₈×C₁₁	—	4	2	no	—
348	Q₈×C₁₁	—	8	1	no	—
349	D₄×C₁₁	—	2	4	no	—
350	D₄×C₁₁	—	2	4	no	—
351	D₄×C₁₁	—	2	4	no	—
352	D₄×C₁₁	—	4	4	no	—
353	D₄×C₁₁	—	4	4	no	—
354	D₄×C₁₁	—	8	1	no	—
355	D₄×C₁₁	—	8	2	no	—
356	D₄×C₁₁	—	8	2	no	—
357	C₂×C₄×C₁₁	—	2	2	no	—
358	C₂×C₄×C₁₁	—	2	2	no	—
359	C₂×C₄×C₁₁	—	2	2	no	—
360	C₂×C₄×C₁₁	—	2	4	no	—
361	C₂×C₄×C₁₁	—	2	2	no	—
362	C₂×C₄×C₁₁	—	2	2	no	—
363	C₂×C₄×C₁₁	—	2	2	no	—
364	C₂×C₄×C₁₁	—	2	2	no	—
365	C₂×C₄×C₁₁	—	2	2	no	—
366	C₂×C₄×C₁₁	—	2	2	no	—
367	C₂×C₄×C₁₁	—	2	2	no	—
368	C₂×C₄×C₁₁	—	2	2	no	—
369	C₂×C₄×C₁₁	—	4	2	no	—
370	C₂×C₄×C₁₁	—	4	1	no	—
371	C₂×C₄×C₁₁	—	4	1	no	—
372	C₂×C₄×C₁₁	—	4	1	no	—
373	C₂×C₄×C₁₁	—	4	1	no	—
374	C₂×C₄×C₁₁	—	4	1	no	—
375	C₂×C₄×C₁₁	—	4	2	no	—
376	C₂×C₄×C₁₁	—	4	2	no	—
377	C₂×C₄×C₁₁	—	4	2	no	—
378	C₂×C₄×C₁₁	—	4	2	no	—
379	C₂×C₄×C₁₁	—	4	4	no	—
380	C₂×C₄×C₁₁	—	4	4	no	—
381	C₂×C₄×C₁₁	—	4	2	no	—
382	C₂×C₄×C₁₁	—	8	2	no	—
383	C₂×C₄×C₁₁	—	8	2	no	—
384	C₂×C₄×C₁₁	—	8	1	no	—
385	C₂×C₄×C₁₁	—	8	1	no	—
386	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
387	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
388	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
389	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
390	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
391	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
392	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
393	C₈×C₁₁	—	2	4	no	—
394	C₈×C₁₁	—	2	4	no	—
395	#553	—	2	2	no	—
396	#553	C₂²×C₁₁	1	2	yes	—
397	#552	—	2	2	no	—
398	#552	—	2	2	no	—
399	#552	C₂²×C₁₁	1	2	yes	—
400	#552	C₂²×C₁₁	1	4	yes	—
401	#552	C₂²×C₁₁	1	4	yes	complemented
402	#551	—	2	2	no	—
403	#548	C₂²×C₁₁	1	2	yes	—
404	#546	C₂²×C₁₁	1	2	yes	—
405	#539	—	2	1	no	—
406	#538	—	2	1	no	—
407	#534	—	2	1	no	—
408	#529	C₂²×C₁₁	1	2	yes	—
409	C₂×#126	—	2	1	no	—
410	C₂×#125	—	2	1	no	—
411	C₂×#125	C₂²×C₁₁	1	1	yes	characteristic, complemented
412	#525	C₂²×C₁₁	1	2	yes	—
413	C₂×#123	—	2	1	no	—
414	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
415	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
416	C₂×C₂²⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
417	C₂×#121	C₂²×C₁₁	1	1	yes	characteristic
418	#518	—	2	1	no	—
419	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic, complemented
420	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
421	C₂×#117	—	2	1	no	—
422	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
423	C₂²×C₄⋊C₄	C₂²×C₁₁	1	1	yes	characteristic
424	#499	C₂²×C₁₁	1	4	yes	complemented
425	#488	C₂²×C₁₁	1	4	yes	complemented
426	#485	C₂²×C₁₁	1	4	yes	complemented
427	#485	C₂²×C₁₁	1	4	yes	complemented
428	#484	C₂²×C₁₁	1	2	yes	complemented
429	#484	C₂²×C₁₁	1	2	yes	complemented
430	#483	C₂²×C₁₁	1	2	yes	complemented
431	#483	C₂²×C₁₁	1	4	yes	complemented
432	#483	C₂²×C₁₁	1	2	yes	complemented
433	#483	C₂²×C₁₁	1	2	yes	complemented
434	#482	C₂²×C₁₁	1	4	yes	complemented
435	#481	C₂²×C₁₁	1	2	yes	—
436	#480	C₂²×C₁₁	1	2	yes	—
437	#480	C₂²×C₁₁	1	2	yes	—
438	#480	C₂²×C₁₁	1	4	yes	complemented
439	#479	C₂²×C₁₁	1	4	yes	complemented
440	#479	C₂²×C₁₁	1	4	yes	complemented
441	#478	C₂²×C₁₁	1	4	yes	complemented
442	#467	C₂²×C₁₁	1	4	yes	complemented
443	#467	C₂²×C₁₁	1	4	yes	complemented
444	#465	C₂²×C₁₁	1	4	yes	complemented
445	#465	C₂²×C₁₁	1	4	yes	complemented
446	#464	C₂²×C₁₁	1	4	yes	complemented
447	#452	C₂²×C₁₁	1	4	yes	complemented
448	#451	C₂²×C₁₁	1	2	yes	complemented
449	#451	C₂²×C₁₁	1	2	yes	complemented
450	#450	C₂²×C₁₁	1	2	yes	complemented
451	#448	C₂²×C₁₁	1	2	yes	—
452	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
453	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
454	C₈×D₄	C₂²×C₁₁	1	4	yes	—
455	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
456	#431	C₂²×C₁₁	1	2	yes	complemented
457	#427	C₂²×C₁₁	1	4	yes	complemented
458	C₂×#107	C₂²×C₁₁	1	2	yes	complemented
459	C₂×#106	C₂²×C₁₁	1	2	yes	complemented
460	#416	C₂²×C₁₁	1	4	yes	complemented
461	C₂×#103	C₂²×C₁₁	1	2	yes	complemented
462	C₂×#102	C₂²×C₁₁	1	2	yes	complemented
463	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
464	C₂×C₂²⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
465	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
466	C₂²×C₁₁	—	2	1	no	—
467	C₂²×C₁₁	—	2	1	no	—
468	C₂²×C₁₁	—	2	1	no	—
469	C₂²×C₁₁	—	2	1	no	—
470	C₂²×C₁₁	—	2	1	no	—
471	C₂²×C₁₁	—	2	1	no	—
472	C₂²×C₁₁	—	2	2	no	—
473	C₂²×C₁₁	—	2	2	no	—
474	C₂²×C₁₁	—	2	2	no	—
475	C₂²×C₁₁	—	4	4	no	—
476	C₂²×C₁₁	—	4	2	no	—
477	C₂²×C₁₁	—	4	2	no	—
478	C₂²×C₁₁	—	4	2	no	—
479	C₂²×C₁₁	—	8	2	no	—
480	C₂²×C₁₁	—	16	2	no	—
481	C₂²×C₁₁	C₂×#135	1	2	yes	—
482	C₂²×C₁₁	C₂×#135	1	2	yes	—
483	C₂²×C₁₁	C₂×#135	1	2	yes	—
484	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
485	C₄×C₁₁	—	2	2	no	—
486	C₄×C₁₁	—	2	1	no	—
487	C₄×C₁₁	—	2	2	no	—
488	C₄×C₁₁	—	2	1	no	—
489	C₄×C₁₁	—	2	1	no	—
490	C₄×C₁₁	—	2	2	no	—
491	C₄×C₁₁	—	4	2	no	—
492	C₄×C₁₁	—	4	2	no	—
493	C₄×C₁₁	—	4	2	no	—
494	C₄×C₁₁	—	4	2	no	—
495	C₄×C₁₁	—	4	2	no	—
496	C₄×C₁₁	—	4	2	no	—
497	C₄×C₁₁	—	4	2	no	—
498	C₄×C₁₁	#585	1	2	yes	—
499	C₂×#41	C₂³×C₁₁	1	2	yes	—
500	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
501	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
502	C₂²×D₄	—	2	1	no	—
503	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
504	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
505	C₂³×C₄	—	2	1	no	—
506	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
507	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
508	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
509	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
510	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
511	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
512	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
513	#126	—	2	2	no	—
514	#126	—	2	4	no	—
515	#126	—	2	4	no	—
516	#126	—	2	2	no	—
517	#126	—	2	2	no	—
518	#125	—	2	4	no	—
519	#125	—	2	4	no	—
520	#125	—	2	2	no	—
521	#125	—	2	2	no	—
522	#125	C₂³×C₁₁	1	4	yes	—
523	#125	C₂³×C₁₁	1	2	yes	—
524	#124	—	2	2	no	—
525	#124	C₂³×C₁₁	1	2	yes	—
526	#123	—	2	4	no	—
527	#123	—	2	4	no	—
528	#123	—	2	2	no	—
529	#123	—	2	2	no	—
530	#123	—	2	2	no	—
531	#123	—	2	2	no	—
532	#123	—	2	2	no	—
533	C₂²⋊Q₈	—	2	1	no	—
534	C₂²⋊Q₈	—	2	1	no	—
535	C₂²⋊Q₈	—	2	1	no	—
536	C₂²⋊Q₈	—	2	1	no	—
537	C₂²⋊Q₈	—	2	2	no	—
538	C₂²⋊Q₈	—	2	2	no	—
539	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
540	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
541	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
542	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
543	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
544	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
545	#121	—	2	2	no	—
546	#121	—	2	2	no	—
547	#121	—	2	1	no	—
548	#121	—	2	1	no	—
549	#121	—	2	2	no	—
550	#121	C₂³×C₁₁	1	2	yes	—
551	#121	C₂³×C₁₁	1	2	yes	—
552	#121	C₂³×C₁₁	1	2	yes	—
553	#120	—	2	2	no	—
554	#120	—	2	2	no	—
555	C₄×Q₈	—	2	2	no	—
556	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
557	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
558	C₄×D₄	—	2	2	no	—
559	C₄×D₄	—	2	2	no	—
560	C₄×D₄	—	2	2	no	—
561	C₄×D₄	—	2	2	no	—
562	C₄×D₄	—	2	2	no	—
563	C₄×D₄	D₄×C₁₁	1	2	yes	—
564	C₄×D₄	D₄×C₁₁	1	2	yes	—
565	C₄×D₄	C₂³×C₁₁	1	2	yes	—
566	C₄×D₄	C₂³×C₁₁	1	2	yes	—
567	C₄×D₄	C₂³×C₁₁	1	2	yes	—
568	#117	—	2	2	no	—
569	#117	—	2	4	no	—
570	#117	—	2	4	no	—
571	#117	—	2	2	no	—
572	#117	—	2	2	no	—
573	#117	C₂³×C₁₁	1	4	yes	—
574	#117	C₂³×C₁₁	1	2	yes	—
575	C₂×C₄⋊C₄	—	2	1	no	—
576	C₂×C₄⋊C₄	—	2	1	no	—
577	C₂×C₄⋊C₄	—	2	1	no	—
578	C₂×C₄⋊C₄	—	2	1	no	—
579	C₂×C₄⋊C₄	—	2	1	no	—
580	C₂×C₄⋊C₄	—	2	1	no	—
581	C₂×C₄⋊C₄	—	2	1	no	—
582	C₂×C₄⋊C₄	—	2	1	no	—
583	C₂×C₄⋊C₄	—	2	1	no	—
584	C₂×C₄⋊C₄	D₄×C₁₁	1	1	yes	characteristic
585	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
586	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
587	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
588	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
589	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
590	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
591	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
592	C₂×C₂²⋊C₄	—	2	1	no	—
593	C₂×C₂²⋊C₄	—	2	1	no	—
594	C₂×C₂²⋊C₄	—	2	1	no	—
595	C₂×C₂²⋊C₄	—	2	1	no	—
596	C₂×C₂²⋊C₄	—	2	1	no	—
597	C₂×C₂²⋊C₄	—	2	2	no	—
598	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
599	C₂×C₂²⋊C₄	D₄×C₁₁	1	1	yes	characteristic
600	C₂×C₄²	—	2	1	no	—
601	C₂×C₄²	—	2	1	no	—
602	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
603	#107	C₂³×C₁₁	1	4	yes	—
604	#107	C₂³×C₁₁	1	4	yes	—
605	#107	C₂³×C₁₁	1	4	yes	—
606	#106	C₂³×C₁₁	1	4	yes	—
607	#106	C₂³×C₁₁	1	4	yes	—
608	#106	C₂³×C₁₁	1	4	yes	—
609	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
610	#103	C₂³×C₁₁	1	4	yes	—
611	#103	C₂³×C₁₁	1	4	yes	—
612	#103	C₂³×C₁₁	1	4	yes	—
613	#103	C₂³×C₁₁	1	4	yes	—
614	#103	C₂³×C₁₁	1	4	yes	—
615	#102	C₂³×C₁₁	1	4	yes	—
616	#102	C₂³×C₁₁	1	4	yes	—
617	#102	C₂³×C₁₁	1	4	yes	—
618	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
619	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
620	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
621	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
622	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
623	C₄×C₈	C₂³×C₁₁	1	4	yes	—
624	C₂×C₁₁	—	2	2	no	—
625	C₂×C₁₁	—	2	2	no	—
626	C₂×C₁₁	—	2	2	no	—
627	C₂×C₁₁	—	4	2	no	—
628	C₂×C₁₁	—	8	2	no	—
629	C₂×C₁₁	#3485	1	1	yes	characteristic
630	C₂×C₁₁	C₂²×#135	1	1	yes	characteristic
631	C₂×C₁₁	#3586	1	1	yes	characteristic
632	C₂⁴	—	2	1	no	—
633	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
634	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
635	#41	—	4	4	no	—
636	C₂×Q₈	—	2	1	no	—
637	C₂×Q₈	—	2	1	no	—
638	C₂×Q₈	—	4	2	no	—
639	C₂×Q₈	—	4	2	no	—
640	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
641	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
642	C₂×D₄	—	2	4	no	—
643	C₂×D₄	—	2	2	no	—
644	C₂×D₄	—	2	2	no	—
645	C₂×D₄	—	2	2	no	—
646	C₂×D₄	—	2	2	no	—
647	C₂×D₄	—	2	1	no	—
648	C₂×D₄	—	4	2	no	—
649	C₂×D₄	—	4	4	no	—
650	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
651	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
652	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
653	C₂²×C₄	—	2	1	no	—
654	C₂²×C₄	—	2	1	no	—
655	C₂²×C₄	—	2	1	no	—
656	C₂²×C₄	—	2	1	no	—
657	C₂²×C₄	—	2	1	no	—
658	C₂²×C₄	—	2	2	no	—
659	C₂²×C₄	—	2	2	no	—
660	C₂²×C₄	—	2	1	no	—
661	C₂²×C₄	—	2	1	no	—
662	C₂²×C₄	—	2	2	no	—
663	C₂²×C₄	—	2	2	no	—
664	C₂²×C₄	—	4	2	no	—
665	C₂²×C₄	—	4	2	no	—
666	C₂²×C₄	—	4	4	no	—
667	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
668	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
669	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
670	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
671	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
672	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
673	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
674	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
675	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
676	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
677	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
678	Q₁₆	—	4	4	no	—
679	SD₁₆	—	4	4	no	—
680	C₂×C₈	—	4	2	no	—
681	C₂×C₈	—	4	4	no	—
682	C₂×C₈	—	4	2	no	—
683	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
684	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
685	C₄⋊C₄	—	2	1	no	—
686	C₄⋊C₄	—	2	1	no	—
687	C₄⋊C₄	—	2	2	no	—
688	C₄⋊C₄	—	2	2	no	—
689	C₄⋊C₄	—	2	4	no	—
690	C₄⋊C₄	—	2	4	no	—
691	C₄⋊C₄	—	2	2	no	—
692	C₄⋊C₄	—	2	4	no	—
693	C₄⋊C₄	—	2	2	no	—
694	C₄⋊C₄	—	2	2	no	—
695	C₄⋊C₄	—	2	2	no	—
696	C₄⋊C₄	—	2	4	no	—
697	C₄⋊C₄	—	2	1	no	—
698	C₄⋊C₄	—	2	1	no	—
699	C₄⋊C₄	—	2	1	no	—
700	C₄⋊C₄	—	2	2	no	—
701	C₄⋊C₄	—	2	2	no	—
702	C₄⋊C₄	—	2	2	no	—
703	C₄⋊C₄	—	2	2	no	—
704	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
705	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
706	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
707	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
708	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
709	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
710	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
711	C₂²⋊C₄	—	2	2	no	—
712	C₂²⋊C₄	—	2	2	no	—
713	C₂²⋊C₄	—	2	2	no	—
714	C₂²⋊C₄	—	2	4	no	—
715	C₂²⋊C₄	—	2	2	no	—
716	C₂²⋊C₄	—	2	4	no	—
717	C₂²⋊C₄	—	2	2	no	—
718	C₂²⋊C₄	—	2	2	no	—
719	C₂²⋊C₄	—	2	2	no	—
720	C₂²⋊C₄	—	2	2	no	—
721	C₂²⋊C₄	—	2	2	no	—
722	C₂²⋊C₄	—	2	2	no	—
723	C₂²⋊C₄	—	2	2	no	—
724	C₂²⋊C₄	—	2	2	no	—
725	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
726	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
727	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
728	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
729	C₄²	—	2	4	no	—
730	C₄²	—	2	4	no	—
731	C₄²	—	2	2	no	—
732	C₄²	—	2	2	no	—
733	C₄²	C₂×D₄×C₁₁	1	2	yes	—
734	C₄²	C₂⁴×C₁₁	1	2	yes	—
735	C₁₁	#61696	1	1	yes	characteristic, direct product factor, Sylow
736	C₂³	—	2	2	no	—
737	C₂³	—	2	2	no	—
738	C₂³	—	4	1	no	—
739	C₂³	—	4	1	no	—
740	C₂³	—	4	1	no	—
741	C₂³	—	4	1	no	—
742	C₂³	—	4	2	no	—
743	C₂³	—	8	1	no	—
744	C₂³	—	8	1	no	—
745	C₂³	C₁₁×#135	1	4	yes	—
746	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
747	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
748	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
749	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
750	Q₈	—	2	4	no	—
751	Q₈	—	2	4	no	—
752	Q₈	—	4	2	no	—
753	Q₈	—	8	1	no	—
754	D₄	—	2	4	no	—
755	D₄	—	2	4	no	—
756	D₄	—	2	4	no	—
757	D₄	—	4	4	no	—
758	D₄	—	4	4	no	—
759	D₄	—	8	1	no	—
760	D₄	—	8	2	no	—
761	D₄	—	8	2	no	—
762	C₂×C₄	—	2	2	no	—
763	C₂×C₄	—	2	2	no	—
764	C₂×C₄	—	2	2	no	—
765	C₂×C₄	—	2	4	no	—
766	C₂×C₄	—	2	2	no	—
767	C₂×C₄	—	2	2	no	—
768	C₂×C₄	—	2	2	no	—
769	C₂×C₄	—	2	2	no	—
770	C₂×C₄	—	2	2	no	—
771	C₂×C₄	—	2	2	no	—
772	C₂×C₄	—	2	2	no	—
773	C₂×C₄	—	2	2	no	—
774	C₂×C₄	—	4	2	no	—
775	C₂×C₄	—	4	1	no	—
776	C₂×C₄	—	4	1	no	—
777	C₂×C₄	—	4	1	no	—
778	C₂×C₄	—	4	1	no	—
779	C₂×C₄	—	4	1	no	—
780	C₂×C₄	—	4	2	no	—
781	C₂×C₄	—	4	2	no	—
782	C₂×C₄	—	4	2	no	—
783	C₂×C₄	—	4	2	no	—
784	C₂×C₄	—	4	4	no	—
785	C₂×C₄	—	4	4	no	—
786	C₂×C₄	—	4	2	no	—
787	C₂×C₄	—	8	2	no	—
788	C₂×C₄	—	8	2	no	—
789	C₂×C₄	—	8	1	no	—
790	C₂×C₄	—	8	1	no	—
791	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
792	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
793	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
794	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
795	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
796	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
797	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
798	C₈	—	2	4	no	—
799	C₈	—	2	4	no	—
800	C₂²	—	2	1	no	—
801	C₂²	—	2	1	no	—
802	C₂²	—	2	1	no	—
803	C₂²	—	2	1	no	—
804	C₂²	—	2	1	no	—
805	C₂²	—	2	1	no	—
806	C₂²	—	2	2	no	—
807	C₂²	—	2	2	no	—
808	C₂²	—	2	2	no	—
809	C₂²	—	4	4	no	—
810	C₂²	—	4	2	no	—
811	C₂²	—	4	2	no	—
812	C₂²	—	4	2	no	—
813	C₂²	—	8	2	no	—
814	C₂²	—	16	2	no	—
815	C₂²	C₂×C₁₁×#135	1	2	yes	—
816	C₂²	C₂×C₁₁×#135	1	2	yes	—
817	C₂²	C₂×C₁₁×#135	1	2	yes	—
818	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
819	C₄	—	2	1	no	—
820	C₄	—	2	2	no	—
821	C₄	—	2	1	no	—
822	C₄	—	2	1	no	—
823	C₄	—	2	2	no	—
824	C₄	—	2	2	no	—
825	C₄	—	4	2	no	—
826	C₄	—	4	2	no	—
827	C₄	—	4	2	no	—
828	C₄	—	4	2	no	—
829	C₄	—	4	2	no	—
830	C₄	—	4	2	no	—
831	C₄	—	4	2	no	—
832	C₄	C₁₁×#585	1	2	yes	—
833	C₂	—	2	2	no	—
834	C₂	—	2	2	no	—
835	C₂	—	2	2	no	—
836	C₂	—	4	2	no	—
837	C₂	—	8	2	no	—
838	C₂	C₁₁×#3485	1	1	yes	characteristic
839	C₂	C₂²×C₁₁×#135	1	1	yes	characteristic
840	C₂	C₁₁×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#3505	C₂
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
2. C₂×C₁₁×#552	C₂	semidirect
3. C₁₁×#3337	C₂	semidirect
4. C₁₁×#3336	C₂	semidirect
5. C₁₁×#3300	C₂	semidirect
6. C₁₁×#3296	C₂	semidirect
7. C₁₁×#3232	C₂	semidirect
8. C₁₁×#3190	C₂	semidirect
9. C₁₁×#3189	C₂	semidirect
10. C₁₁×#3187	C₂	semidirect
11. C₁₁×#3108	C₂	semidirect
12. C₁₁×#3091	C₂	semidirect
13. C₂×C₁₁×#483	C₂	semidirect
14. C₂×C₁₁×#480	C₂	semidirect
15. C₁₁×#2972	C₂	semidirect
22. C₁₁×#552	C₂²	semidirect
32. C₂×C₁₁×#125	C₂²	semidirect
37. C₂×C₁₁×C₂²⋊Q₈	C₂²	semidirect
40. C₂×C₄×Q₈×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×#485	C₂²	semidirect
49. C₁₁×#484	C₂²	semidirect
50. C₁₁×#484	C₂²	semidirect
51. C₁₁×#483	C₂²	semidirect
52. C₁₁×#483	C₂²	semidirect
53. C₁₁×#483	C₂²	semidirect
54. C₁₁×#483	C₂²	semidirect
55. C₁₁×#482	C₂²	semidirect
59. C₁₁×#480	C₂²	semidirect
60. C₁₁×#479	C₂²	semidirect
61. C₁₁×#479	C₂²	semidirect
62. C₁₁×#478	C₂²	semidirect
63. C₁₁×#467	C₂²	semidirect
64. C₁₁×#467	C₂²	semidirect
65. C₁₁×#465	C₂²	semidirect
66. C₁₁×#465	C₂²	semidirect
67. C₁₁×#464	C₂²	semidirect
68. C₁₁×#452	C₂²	semidirect
69. C₁₁×#451	C₂²	semidirect
70. C₁₁×#451	C₂²	semidirect
71. C₁₁×#450	C₂²	semidirect
73. C₄×C₁₁×Q₁₆	C₂²	semidirect
74. C₄×C₁₁×SD₁₆	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. #61696	C₁₁	direct (N × H)
317. C₂×#552	C₂×C₁₁	semidirect
318. #3337	C₂×C₁₁	semidirect
319. #3336	C₂×C₁₁	semidirect
320. #3300	C₂×C₁₁	semidirect
321. #3296	C₂×C₁₁	semidirect
322. #3232	C₂×C₁₁	semidirect
323. #3190	C₂×C₁₁	semidirect
324. #3189	C₂×C₁₁	semidirect
325. #3187	C₂×C₁₁	semidirect
326. #3108	C₂×C₁₁	semidirect
327. #3091	C₂×C₁₁	semidirect
328. C₂×#483	C₂×C₁₁	semidirect
329. C₂×#480	C₂×C₁₁	semidirect
330. #2972	C₂×C₁₁	semidirect
401. #552	C₂²×C₁₁	semidirect
411. C₂×#125	C₂²×C₁₁	semidirect
416. C₂×C₂²⋊Q₈	C₂²×C₁₁	semidirect
419. C₂×C₄×Q₈	C₂²×C₁₁	semidirect
422. C₂×#117	C₂²×C₁₁	semidirect
424. #499	C₂²×C₁₁	semidirect
425. #488	C₂²×C₁₁	semidirect
426. #485	C₂²×C₁₁	semidirect
427. #485	C₂²×C₁₁	semidirect
428. #484	C₂²×C₁₁	semidirect
429. #484	C₂²×C₁₁	semidirect
430. #483	C₂²×C₁₁	semidirect
431. #483	C₂²×C₁₁	semidirect
432. #483	C₂²×C₁₁	semidirect
433. #483	C₂²×C₁₁	semidirect
434. #482	C₂²×C₁₁	semidirect
438. #480	C₂²×C₁₁	semidirect
439. #479	C₂²×C₁₁	semidirect
440. #479	C₂²×C₁₁	semidirect
441. #478	C₂²×C₁₁	semidirect
442. #467	C₂²×C₁₁	semidirect
443. #467	C₂²×C₁₁	semidirect
444. #465	C₂²×C₁₁	semidirect
445. #465	C₂²×C₁₁	semidirect
446. #464	C₂²×C₁₁	semidirect
447. #452	C₂²×C₁₁	semidirect
448. #451	C₂²×C₁₁	semidirect
449. #451	C₂²×C₁₁	semidirect
450. #450	C₂²×C₁₁	semidirect
452. C₄×Q₁₆	C₂²×C₁₁	semidirect
453. C₄×SD₁₆	C₂²×C₁₁	semidirect
455. C₈×D₄	C₂²×C₁₁	semidirect
456. #431	C₂²×C₁₁	semidirect
457. #427	C₂²×C₁₁	semidirect
458. C₂×#107	C₂²×C₁₁	semidirect
459. C₂×#106	C₂²×C₁₁	semidirect
460. #416	C₂²×C₁₁	semidirect
461. C₂×#103	C₂²×C₁₁	semidirect
462. C₂×#102	C₂²×C₁₁	semidirect
465. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
735. C₁₁	#61696	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×#552	2
C₁₁×#3337	2
C₁₁×#3336	2
C₁₁×#3300	2
C₁₁×#3296	2
C₁₁×#3232	2
C₁₁×#3190	2
C₁₁×#3189	2
C₁₁×#3187	2
C₁₁×#3108	2
C₁₁×#3091	2
C₂×C₁₁×#483	2
C₂×C₁₁×#480	2
C₁₁×#2972	2
#61696	11

Subgroups — C11×#61696 #14638889

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61696 #14638889