Subgroups — C₁₁×#61328 #14638521

Order 2816.

1738 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3507	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#3502	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3377	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3375	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3374	C₂	1	2	yes	maximal, complemented
6	C₁₁×#3365	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3364	C₂	1	4	yes	maximal, complemented
8	C₁₁×#3363	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3137	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3131	C₂	1	1	yes	maximal, characteristic
11	C₁₁×#3083	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3078	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#3044	C₂	1	2	yes	maximal, complemented
14	C₁₁×#3037	C₂	1	1	yes	maximal, characteristic
15	C₁₁×#2960	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₁×#2947	C₂	1	2	yes	maximal, complemented
17	C₂×C₄×C₁₁×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×C₁₁×#137	C₂²	1	2	yes	—
19	C₂²×C₁₁×Q₁₆	C₂²	1	1	yes	characteristic
20	C₁₁×#559	C₂²	1	2	yes	—
21	Q₈²×C₁₁	—	2	1	no	—
22	Q₈²×C₁₁	C₂²	1	2	yes	—
23	C₁₁×#557	—	2	1	no	—
24	C₁₁×#557	—	2	2	no	—
25	C₁₁×#557	C₂²	1	2	yes	—
26	C₁₁×#557	C₂²	1	4	yes	—
27	C₁₁×#557	C₂²	1	2	yes	—
28	C₁₁×#556	—	2	1	no	—
29	C₁₁×#556	C₂²	1	4	yes	—
30	C₁₁×#554	—	2	1	no	—
31	C₁₁×#552	—	2	2	no	—
32	C₁₁×#544	—	2	2	no	—
33	C₁₁×#544	C₂²	1	2	yes	—
34	C₁₁×#539	—	2	2	no	—
35	C₁₁×#536	C₂²	1	2	yes	—
36	C₁₁×#533	—	2	2	no	—
37	C₁₁×#533	C₂²	1	1	yes	characteristic
38	C₁₁×#533	C₂²	1	1	yes	characteristic
39	C₁₁×#532	C₂²	1	1	yes	characteristic
40	C₁₁×#529	—	2	2	no	—
41	C₁₁×#520	C₂²	1	2	yes	—
42	C₁₁×#519	C₂²	1	2	yes	—
43	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
44	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
45	C₁₁×#491	C₂²	1	4	yes	—
46	C₁₁×#489	C₂²	1	4	yes	—
47	C₁₁×#488	C₂²	1	2	yes	—
48	C₁₁×#488	C₂²	1	4	yes	—
49	C₁₁×#488	C₂²	1	2	yes	—
50	C₁₁×#487	C₂²	1	1	yes	characteristic
51	C₁₁×#487	C₂²	1	4	yes	—
52	C₁₁×#487	C₂²	1	1	yes	characteristic
53	C₁₁×#486	C₂²	1	1	yes	characteristic
54	C₁₁×#486	C₂²	1	1	yes	characteristic
55	C₁₁×#479	C₂²	1	4	yes	—
56	C₁₁×#479	C₂²	1	4	yes	—
57	C₁₁×#478	C₂²	1	4	yes	—
58	C₁₁×#477	C₂²	1	2	yes	—
59	C₁₁×#477	C₂²	1	4	yes	—
60	C₁₁×#475	C₂²	1	2	yes	—
61	C₁₁×#474	C₂²	1	4	yes	—
62	C₁₁×#464	C₂²	1	4	yes	—
63	C₁₁×#464	C₂²	1	4	yes	—
64	C₁₁×#464	C₂²	1	4	yes	—
65	C₁₁×#462	C₂²	1	2	yes	—
66	C₁₁×#462	C₂²	1	4	yes	—
67	C₁₁×#462	C₂²	1	4	yes	—
68	C₁₁×#460	C₂²	1	2	yes	—
69	C₁₁×#446	C₂²	1	2	yes	—
70	C₁₁×#446	C₂²	1	2	yes	—
71	C₈×Q₈×C₁₁	C₂²	1	2	yes	—
72	C₈×Q₈×C₁₁	C₂²	1	2	yes	—
73	C₁₁×#441	C₂²	1	4	yes	—
74	C₁₁×#440	C₂²	1	4	yes	—
75	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
76	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
77	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
78	C₄×C₁₁×Q₁₆	C₂²	1	2	yes	—
79	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	—
80	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	—
81	C₁₁×#428	C₂²	1	2	yes	—
82	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
83	C₁₁×#424	C₂²	1	2	yes	—
84	C₁₁×#423	C₂²	1	1	yes	characteristic
85	C₁₁×#419	C₂²	1	2	yes	—
86	C₁₁×#417	C₂²	1	2	yes	—
87	C₁₁×#416	C₂²	1	2	yes	—
88	C₁₁×#416	C₂²	1	2	yes	—
89	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
90	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
91	C₁₁×#405	C₂²	1	2	yes	—
92	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
93	C₂×C₁₁×#41	C₂³	1	2	yes	—
94	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
95	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
96	C₁₁×#137	—	2	8	no	—
97	C₂×C₁₁×Q₁₆	—	2	4	no	—
98	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
99	C₂×C₁₁×Q₁₆	C₂³	1	2	yes	—
100	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
101	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
102	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
103	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
104	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
105	C₁₁×C₄⋊Q₈	—	2	2	no	—
106	C₁₁×C₄⋊Q₈	—	2	4	no	—
107	C₁₁×C₄⋊Q₈	—	2	2	no	—
108	C₁₁×C₄⋊Q₈	—	2	4	no	—
109	C₁₁×C₄⋊Q₈	—	2	2	no	—
110	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
111	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
112	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
113	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
114	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
115	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
116	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
117	C₁₁×#127	C₂³	1	1	yes	characteristic
118	C₁₁×#126	—	2	4	no	—
119	C₁₁×#126	—	2	4	no	—
120	C₁₁×#125	—	2	2	no	—
121	C₁₁×#125	—	2	4	no	—
122	C₁₁×#125	—	2	4	no	—
123	C₁₁×#125	—	2	4	no	—
124	C₁₁×#125	—	2	4	no	—
125	C₁₁×#125	—	2	2	no	—
126	C₁₁×#125	D₄	1	2	yes	—
127	C₁₁×#125	C₂³	1	4	yes	—
128	C₁₁×#125	C₂³	1	2	yes	—
129	C₁₁×#124	—	2	2	no	—
130	C₁₁×#124	C₂³	1	4	yes	—
131	C₁₁×#124	C₂³	1	2	yes	—
132	C₁₁×#123	—	2	4	no	—
133	C₁₁×#123	—	2	4	no	—
134	C₁₁×C₂²⋊Q₈	—	2	4	no	—
135	C₁₁×C₂²⋊Q₈	—	2	1	no	—
136	C₁₁×C₂²⋊Q₈	—	2	1	no	—
137	C₁₁×C₂²⋊Q₈	—	2	2	no	—
138	C₁₁×C₂²⋊Q₈	—	2	2	no	—
139	C₁₁×C₂²⋊Q₈	—	2	4	no	—
140	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
141	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
142	C₁₁×#121	—	2	1	no	—
143	C₁₁×#121	—	2	1	no	—
144	C₄×Q₈×C₁₁	—	2	2	no	—
145	C₄×Q₈×C₁₁	—	2	2	no	—
146	C₄×Q₈×C₁₁	—	2	2	no	—
147	C₄×Q₈×C₁₁	—	2	2	no	—
148	C₄×Q₈×C₁₁	—	2	4	no	—
149	C₄×Q₈×C₁₁	—	2	2	no	—
150	C₄×Q₈×C₁₁	—	2	1	no	—
151	C₄×Q₈×C₁₁	—	2	1	no	—
152	C₄×Q₈×C₁₁	—	2	1	no	—
153	C₄×Q₈×C₁₁	—	2	1	no	—
154	C₄×Q₈×C₁₁	—	2	1	no	—
155	C₄×Q₈×C₁₁	—	2	1	no	—
156	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
157	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
158	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
159	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
160	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
161	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
162	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
163	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
164	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
165	C₄×D₄×C₁₁	—	2	2	no	—
166	C₄×D₄×C₁₁	—	2	4	no	—
167	C₄×D₄×C₁₁	—	2	1	no	—
168	C₄×D₄×C₁₁	—	2	1	no	—
169	C₄×D₄×C₁₁	C₂³	1	4	yes	—
170	C₁₁×#117	—	2	2	no	—
171	C₁₁×#117	—	2	4	no	—
172	C₁₁×#117	—	2	4	no	—
173	C₁₁×#117	C₂³	1	2	yes	—
174	C₁₁×#117	C₂³	1	2	yes	—
175	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
176	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
177	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
178	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
179	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
180	C₂×C₄²×C₁₁	—	2	1	no	—
181	C₂×C₄²×C₁₁	—	2	1	no	—
182	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
183	C₁₁×#107	C₂³	1	2	yes	—
184	C₁₁×#107	C₂³	1	2	yes	—
185	C₁₁×#107	C₂³	1	4	yes	—
186	C₁₁×#106	C₂³	1	4	yes	—
187	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
188	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
189	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
190	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
191	C₁₁×#103	C₂³	1	2	yes	—
192	C₁₁×#103	C₂³	1	4	yes	—
193	C₁₁×#103	C₂³	1	2	yes	—
194	C₁₁×#103	C₂³	1	4	yes	—
195	C₁₁×#103	C₂³	1	4	yes	—
196	C₁₁×#103	C₂³	1	2	yes	—
197	C₁₁×#103	C₂³	1	2	yes	—
198	C₁₁×#103	C₂³	1	2	yes	—
199	C₁₁×#103	C₂³	1	2	yes	—
200	C₁₁×#103	C₂³	1	2	yes	—
201	C₁₁×#103	C₂³	1	2	yes	—
202	C₁₁×#102	C₂³	1	2	yes	—
203	C₁₁×#102	C₂³	1	4	yes	—
204	C₁₁×#102	C₂³	1	2	yes	—
205	C₁₁×#102	C₂³	1	2	yes	—
206	C₁₁×#102	C₂³	1	2	yes	—
207	C₁₁×#97	C₂³	1	4	yes	—
208	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
209	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
210	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
211	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
212	C₄×C₈×C₁₁	C₂³	1	4	yes	—
213	#61328	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
214	C₁₁×#41	—	2	4	no	—
215	C₁₁×#41	—	2	4	no	—
216	C₂×Q₈×C₁₁	—	2	1	no	—
217	C₂×Q₈×C₁₁	—	2	1	no	—
218	C₂×Q₈×C₁₁	—	2	1	no	—
219	C₂×Q₈×C₁₁	—	2	1	no	—
220	C₂×Q₈×C₁₁	—	2	4	no	—
221	C₂×Q₈×C₁₁	—	2	2	no	—
222	C₂×Q₈×C₁₁	—	2	2	no	—
223	C₂×Q₈×C₁₁	—	2	2	no	—
224	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
225	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
226	C₂×Q₈×C₁₁	#41	1	4	yes	—
227	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
228	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
229	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
230	C₂×D₄×C₁₁	—	2	2	no	—
231	C₂×D₄×C₁₁	—	2	1	no	—
232	C₂×D₄×C₁₁	—	2	1	no	—
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	2	no	—
239	C₂²×C₄×C₁₁	—	2	4	no	—
240	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
241	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
242	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
243	C₁₁×Q₁₆	—	2	4	no	—
244	C₁₁×Q₁₆	—	2	4	no	—
245	C₁₁×Q₁₆	—	2	8	no	—
246	C₁₁×SD₁₆	—	2	8	no	—
247	C₁₁×M₁₆	—	2	4	no	—
248	C₂×C₈×C₁₁	—	2	2	no	—
249	C₂×C₈×C₁₁	—	2	2	no	—
250	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
251	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
252	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
253	C₂×C₈×C₁₁	C₂⁴	1	1	yes	characteristic
254	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
255	C₁₁×C₄⋊C₄	—	2	1	no	—
256	C₁₁×C₄⋊C₄	—	2	4	no	—
257	C₁₁×C₄⋊C₄	—	2	2	no	—
258	C₁₁×C₄⋊C₄	—	2	2	no	—
259	C₁₁×C₄⋊C₄	—	2	2	no	—
260	C₁₁×C₄⋊C₄	—	2	2	no	—
261	C₁₁×C₄⋊C₄	—	2	1	no	—
262	C₁₁×C₄⋊C₄	—	2	4	no	—
263	C₁₁×C₄⋊C₄	—	2	4	no	—
264	C₁₁×C₄⋊C₄	—	2	4	no	—
265	C₁₁×C₄⋊C₄	—	2	1	no	—
266	C₁₁×C₄⋊C₄	—	2	1	no	—
267	C₁₁×C₄⋊C₄	—	2	2	no	—
268	C₁₁×C₄⋊C₄	—	2	1	no	—
269	C₁₁×C₄⋊C₄	—	2	4	no	—
270	C₁₁×C₄⋊C₄	—	2	1	no	—
271	C₁₁×C₄⋊C₄	—	2	4	no	—
272	C₁₁×C₄⋊C₄	—	2	4	no	—
273	C₁₁×C₄⋊C₄	—	2	2	no	—
274	C₁₁×C₄⋊C₄	—	2	4	no	—
275	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
276	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
277	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
278	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
279	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
280	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
281	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
282	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
283	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
284	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
285	C₁₁×C₂²⋊C₄	—	2	2	no	—
286	C₁₁×C₂²⋊C₄	—	2	2	no	—
287	C₁₁×C₂²⋊C₄	—	2	4	no	—
288	C₁₁×C₂²⋊C₄	—	2	4	no	—
289	C₁₁×C₂²⋊C₄	—	2	2	no	—
290	C₁₁×C₂²⋊C₄	—	2	4	no	—
291	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
292	C₄²×C₁₁	—	2	2	no	—
293	C₄²×C₁₁	—	2	2	no	—
294	C₄²×C₁₁	—	2	2	no	—
295	C₄²×C₁₁	—	2	2	no	—
296	C₄²×C₁₁	—	2	4	no	—
297	C₄²×C₁₁	—	2	4	no	—
298	C₄²×C₁₁	—	2	4	no	—
299	C₄²×C₁₁	—	2	2	no	—
300	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
301	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
302	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
303	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
304	C₄²×C₁₁	C₂⁴	1	4	yes	—
305	#3507	C₂×C₁₁	1	1	yes	characteristic
306	#3502	C₂×C₁₁	1	1	yes	characteristic, complemented
307	#3377	C₂×C₁₁	1	4	yes	complemented
308	#3375	C₂×C₁₁	1	2	yes	complemented
309	#3374	C₂×C₁₁	1	2	yes	complemented
310	#3365	C₂×C₁₁	1	2	yes	complemented
311	#3364	C₂×C₁₁	1	4	yes	complemented
312	#3363	C₂×C₁₁	1	2	yes	complemented
313	#3137	C₂×C₁₁	1	2	yes	complemented
314	#3131	C₂×C₁₁	1	1	yes	characteristic
315	#3083	C₂×C₁₁	1	2	yes	complemented
316	#3078	C₂×C₁₁	1	1	yes	characteristic, complemented
317	#3044	C₂×C₁₁	1	2	yes	complemented
318	#3037	C₂×C₁₁	1	1	yes	characteristic
319	#2960	C₂×C₁₁	1	1	yes	characteristic, complemented
320	#2947	C₂×C₁₁	1	2	yes	complemented
321	C₂×C₄×Q₁₆	C₂×C₁₁	1	1	yes	characteristic, complemented
322	C₂³×C₁₁	—	2	2	no	—
323	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
324	Q₈×C₁₁	—	2	4	no	—
325	Q₈×C₁₁	—	2	4	no	—
326	Q₈×C₁₁	—	2	2	no	—
327	Q₈×C₁₁	—	2	2	no	—
328	Q₈×C₁₁	—	2	2	no	—
329	Q₈×C₁₁	—	2	2	no	—
330	Q₈×C₁₁	—	2	2	no	—
331	Q₈×C₁₁	—	4	2	no	—
332	Q₈×C₁₁	—	4	2	no	—
333	Q₈×C₁₁	—	4	2	no	—
334	Q₈×C₁₁	—	8	1	no	—
335	Q₈×C₁₁	—	8	4	no	—
336	Q₈×C₁₁	C₂×#41	1	4	yes	—
337	D₄×C₁₁	—	2	2	no	—
338	D₄×C₁₁	—	2	2	no	—
339	D₄×C₁₁	—	4	4	no	—
340	D₄×C₁₁	—	4	2	no	—
341	D₄×C₁₁	—	8	1	no	—
342	C₂×C₄×C₁₁	—	2	4	no	—
343	C₂×C₄×C₁₁	—	2	2	no	—
344	C₂×C₄×C₁₁	—	2	2	no	—
345	C₂×C₄×C₁₁	—	2	2	no	—
346	C₂×C₄×C₁₁	—	2	2	no	—
347	C₂×C₄×C₁₁	—	2	2	no	—
348	C₂×C₄×C₁₁	—	2	2	no	—
349	C₂×C₄×C₁₁	—	2	2	no	—
350	C₂×C₄×C₁₁	—	2	2	no	—
351	C₂×C₄×C₁₁	—	4	1	no	—
352	C₂×C₄×C₁₁	—	4	2	no	—
353	C₂×C₄×C₁₁	—	4	4	no	—
354	C₂×C₄×C₁₁	—	8	4	no	—
355	C₂×C₄×C₁₁	—	8	1	no	—
356	C₂×C₄×C₁₁	—	8	1	no	—
357	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
358	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
359	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
360	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
361	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
362	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
363	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
364	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
365	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
366	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
367	C₈×C₁₁	—	2	1	no	—
368	C₈×C₁₁	—	2	1	no	—
369	C₈×C₁₁	—	2	4	no	—
370	C₈×C₁₁	—	2	1	no	—
371	C₈×C₁₁	—	2	1	no	—
372	C₂×#137	C₂²×C₁₁	1	2	yes	—
373	C₂²×Q₁₆	C₂²×C₁₁	1	1	yes	characteristic
374	#559	C₂²×C₁₁	1	2	yes	—
375	Q₈²	—	2	1	no	—
376	Q₈²	C₂²×C₁₁	1	2	yes	—
377	#557	—	2	1	no	—
378	#557	—	2	2	no	—
379	#557	C₂²×C₁₁	1	2	yes	—
380	#557	C₂²×C₁₁	1	4	yes	—
381	#557	C₂²×C₁₁	1	2	yes	—
382	#556	—	2	1	no	—
383	#556	C₂²×C₁₁	1	4	yes	—
384	#554	—	2	1	no	—
385	#552	—	2	2	no	—
386	#544	—	2	2	no	—
387	#544	C₂²×C₁₁	1	2	yes	—
388	#539	—	2	2	no	—
389	#536	C₂²×C₁₁	1	2	yes	—
390	#533	—	2	2	no	—
391	#533	C₂²×C₁₁	1	1	yes	characteristic
392	#533	C₂²×C₁₁	1	1	yes	characteristic
393	#532	C₂²×C₁₁	1	1	yes	characteristic
394	#529	—	2	2	no	—
395	#520	C₂²×C₁₁	1	2	yes	—
396	#519	C₂²×C₁₁	1	2	yes	—
397	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
398	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
399	#491	C₂²×C₁₁	1	4	yes	—
400	#489	C₂²×C₁₁	1	4	yes	—
401	#488	C₂²×C₁₁	1	2	yes	—
402	#488	C₂²×C₁₁	1	4	yes	—
403	#488	C₂²×C₁₁	1	2	yes	—
404	#487	C₂²×C₁₁	1	1	yes	characteristic
405	#487	C₂²×C₁₁	1	4	yes	—
406	#487	C₂²×C₁₁	1	1	yes	characteristic
407	#486	C₂²×C₁₁	1	1	yes	characteristic
408	#486	C₂²×C₁₁	1	1	yes	characteristic
409	#479	C₂²×C₁₁	1	4	yes	—
410	#479	C₂²×C₁₁	1	4	yes	—
411	#478	C₂²×C₁₁	1	4	yes	—
412	#477	C₂²×C₁₁	1	2	yes	—
413	#477	C₂²×C₁₁	1	4	yes	—
414	#475	C₂²×C₁₁	1	2	yes	—
415	#474	C₂²×C₁₁	1	4	yes	—
416	#464	C₂²×C₁₁	1	4	yes	—
417	#464	C₂²×C₁₁	1	4	yes	—
418	#464	C₂²×C₁₁	1	4	yes	—
419	#462	C₂²×C₁₁	1	2	yes	—
420	#462	C₂²×C₁₁	1	4	yes	—
421	#462	C₂²×C₁₁	1	4	yes	—
422	#460	C₂²×C₁₁	1	2	yes	—
423	#446	C₂²×C₁₁	1	2	yes	—
424	#446	C₂²×C₁₁	1	2	yes	—
425	C₈×Q₈	C₂²×C₁₁	1	2	yes	—
426	C₈×Q₈	C₂²×C₁₁	1	2	yes	—
427	#441	C₂²×C₁₁	1	4	yes	—
428	#440	C₂²×C₁₁	1	4	yes	—
429	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	—
430	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
431	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
432	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
433	C₄×Q₁₆	C₂²×C₁₁	1	2	yes	—
434	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	—
435	#428	C₂²×C₁₁	1	2	yes	—
436	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
437	#424	C₂²×C₁₁	1	2	yes	—
438	#423	C₂²×C₁₁	1	1	yes	characteristic
439	#419	C₂²×C₁₁	1	2	yes	—
440	#417	C₂²×C₁₁	1	2	yes	—
441	#416	C₂²×C₁₁	1	2	yes	—
442	#416	C₂²×C₁₁	1	2	yes	—
443	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic
444	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic
445	#405	C₂²×C₁₁	1	2	yes	—
446	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
447	C₂²×C₁₁	—	2	1	no	—
448	C₂²×C₁₁	—	2	1	no	—
449	C₂²×C₁₁	—	4	2	no	—
450	C₂²×C₁₁	—	4	2	no	—
451	C₂²×C₁₁	—	4	2	no	—
452	C₂²×C₁₁	#548	1	2	yes	—
453	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
454	C₄×C₁₁	—	2	1	no	—
455	C₄×C₁₁	—	2	1	no	—
456	C₄×C₁₁	—	2	4	no	—
457	C₄×C₁₁	—	2	4	no	—
458	C₄×C₁₁	—	2	1	no	—
459	C₄×C₁₁	—	2	4	no	—
460	C₄×C₁₁	—	4	2	no	—
461	C₄×C₁₁	—	4	2	no	—
462	C₄×C₁₁	—	4	2	no	—
463	C₄×C₁₁	—	4	2	no	—
464	C₄×C₁₁	—	4	2	no	—
465	C₄×C₁₁	—	4	2	no	—
466	C₄×C₁₁	#548	1	2	yes	—
467	C₄×C₁₁	#578	1	2	yes	—
468	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
469	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
470	C₂×#41	C₂³×C₁₁	1	2	yes	—
471	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
472	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
473	#137	—	2	8	no	—
474	C₂×Q₁₆	—	2	4	no	—
475	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
476	C₂×Q₁₆	C₂³×C₁₁	1	2	yes	—
477	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
478	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
479	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
480	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
481	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
482	C₄⋊Q₈	—	2	2	no	—
483	C₄⋊Q₈	—	2	4	no	—
484	C₄⋊Q₈	—	2	2	no	—
485	C₄⋊Q₈	—	2	4	no	—
486	C₄⋊Q₈	—	2	2	no	—
487	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
488	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
489	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
490	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
491	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
492	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
493	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
494	#127	C₂³×C₁₁	1	1	yes	characteristic
495	#126	—	2	4	no	—
496	#126	—	2	4	no	—
497	#125	—	2	2	no	—
498	#125	—	2	4	no	—
499	#125	—	2	4	no	—
500	#125	—	2	4	no	—
501	#125	—	2	4	no	—
502	#125	—	2	2	no	—
503	#125	D₄×C₁₁	1	2	yes	—
504	#125	C₂³×C₁₁	1	2	yes	—
505	#125	C₂³×C₁₁	1	4	yes	—
506	#124	—	2	2	no	—
507	#124	C₂³×C₁₁	1	2	yes	—
508	#124	C₂³×C₁₁	1	4	yes	—
509	#123	—	2	4	no	—
510	#123	—	2	4	no	—
511	C₂²⋊Q₈	—	2	4	no	—
512	C₂²⋊Q₈	—	2	1	no	—
513	C₂²⋊Q₈	—	2	1	no	—
514	C₂²⋊Q₈	—	2	2	no	—
515	C₂²⋊Q₈	—	2	2	no	—
516	C₂²⋊Q₈	—	2	4	no	—
517	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
518	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
519	#121	—	2	1	no	—
520	#121	—	2	1	no	—
521	C₄×Q₈	—	2	2	no	—
522	C₄×Q₈	—	2	2	no	—
523	C₄×Q₈	—	2	2	no	—
524	C₄×Q₈	—	2	2	no	—
525	C₄×Q₈	—	2	4	no	—
526	C₄×Q₈	—	2	2	no	—
527	C₄×Q₈	—	2	1	no	—
528	C₄×Q₈	—	2	1	no	—
529	C₄×Q₈	—	2	1	no	—
530	C₄×Q₈	—	2	1	no	—
531	C₄×Q₈	—	2	1	no	—
532	C₄×Q₈	—	2	1	no	—
533	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
534	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
535	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
536	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
537	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
538	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
539	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
540	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
541	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
542	C₄×D₄	—	2	2	no	—
543	C₄×D₄	—	2	4	no	—
544	C₄×D₄	—	2	1	no	—
545	C₄×D₄	—	2	1	no	—
546	C₄×D₄	C₂³×C₁₁	1	4	yes	—
547	#117	—	2	2	no	—
548	#117	—	2	4	no	—
549	#117	—	2	4	no	—
550	#117	C₂³×C₁₁	1	2	yes	—
551	#117	C₂³×C₁₁	1	2	yes	—
552	C₂×C₄⋊C₄	—	2	1	no	—
553	C₂×C₄⋊C₄	—	2	1	no	—
554	C₂×C₄⋊C₄	—	2	2	no	—
555	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
556	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
557	C₂×C₄²	—	2	1	no	—
558	C₂×C₄²	—	2	1	no	—
559	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
560	#107	C₂³×C₁₁	1	2	yes	—
561	#107	C₂³×C₁₁	1	2	yes	—
562	#107	C₂³×C₁₁	1	4	yes	—
563	#106	C₂³×C₁₁	1	4	yes	—
564	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
565	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
566	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
567	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
568	#103	C₂³×C₁₁	1	2	yes	—
569	#103	C₂³×C₁₁	1	2	yes	—
570	#103	C₂³×C₁₁	1	2	yes	—
571	#103	C₂³×C₁₁	1	2	yes	—
572	#103	C₂³×C₁₁	1	2	yes	—
573	#103	C₂³×C₁₁	1	2	yes	—
574	#103	C₂³×C₁₁	1	2	yes	—
575	#103	C₂³×C₁₁	1	2	yes	—
576	#103	C₂³×C₁₁	1	4	yes	—
577	#103	C₂³×C₁₁	1	4	yes	—
578	#103	C₂³×C₁₁	1	4	yes	—
579	#102	C₂³×C₁₁	1	2	yes	—
580	#102	C₂³×C₁₁	1	2	yes	—
581	#102	C₂³×C₁₁	1	2	yes	—
582	#102	C₂³×C₁₁	1	2	yes	—
583	#102	C₂³×C₁₁	1	4	yes	—
584	#97	C₂³×C₁₁	1	4	yes	—
585	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
586	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
587	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
588	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
589	C₄×C₈	C₂³×C₁₁	1	4	yes	—
590	C₂×C₁₁	—	2	2	no	—
591	C₂×C₁₁	—	8	2	no	—
592	C₂×C₁₁	C₂×#548	1	1	yes	characteristic
593	C₂×C₁₁	C₂×#578	1	1	yes	characteristic
594	C₂×C₁₁	#3584	1	1	yes	characteristic
595	#41	—	2	4	no	—
596	#41	—	2	4	no	—
597	C₂×Q₈	—	2	1	no	—
598	C₂×Q₈	—	2	1	no	—
599	C₂×Q₈	—	2	1	no	—
600	C₂×Q₈	—	2	1	no	—
601	C₂×Q₈	—	2	4	no	—
602	C₂×Q₈	—	2	2	no	—
603	C₂×Q₈	—	2	2	no	—
604	C₂×Q₈	—	2	2	no	—
605	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
606	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
607	C₂×Q₈	C₁₁×#41	1	4	yes	—
608	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
609	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
610	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
611	C₂×D₄	—	2	2	no	—
612	C₂×D₄	—	2	1	no	—
613	C₂×D₄	—	2	1	no	—
614	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
615	C₂²×C₄	—	2	1	no	—
616	C₂²×C₄	—	2	1	no	—
617	C₂²×C₄	—	2	1	no	—
618	C₂²×C₄	—	2	1	no	—
619	C₂²×C₄	—	2	2	no	—
620	C₂²×C₄	—	2	4	no	—
621	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
622	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
623	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
624	Q₁₆	—	2	4	no	—
625	Q₁₆	—	2	4	no	—
626	Q₁₆	—	2	8	no	—
627	SD₁₆	—	2	8	no	—
628	M₁₆	—	2	4	no	—
629	C₂×C₈	—	2	2	no	—
630	C₂×C₈	—	2	2	no	—
631	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
632	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
633	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
634	C₂×C₈	C₂⁴×C₁₁	1	1	yes	characteristic
635	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
636	C₄⋊C₄	—	2	1	no	—
637	C₄⋊C₄	—	2	4	no	—
638	C₄⋊C₄	—	2	2	no	—
639	C₄⋊C₄	—	2	2	no	—
640	C₄⋊C₄	—	2	2	no	—
641	C₄⋊C₄	—	2	2	no	—
642	C₄⋊C₄	—	2	1	no	—
643	C₄⋊C₄	—	2	4	no	—
644	C₄⋊C₄	—	2	4	no	—
645	C₄⋊C₄	—	2	4	no	—
646	C₄⋊C₄	—	2	1	no	—
647	C₄⋊C₄	—	2	1	no	—
648	C₄⋊C₄	—	2	2	no	—
649	C₄⋊C₄	—	2	1	no	—
650	C₄⋊C₄	—	2	4	no	—
651	C₄⋊C₄	—	2	1	no	—
652	C₄⋊C₄	—	2	4	no	—
653	C₄⋊C₄	—	2	4	no	—
654	C₄⋊C₄	—	2	2	no	—
655	C₄⋊C₄	—	2	4	no	—
656	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
657	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
658	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
659	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
660	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
661	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
662	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
663	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
664	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
665	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
666	C₂²⋊C₄	—	2	2	no	—
667	C₂²⋊C₄	—	2	2	no	—
668	C₂²⋊C₄	—	2	4	no	—
669	C₂²⋊C₄	—	2	4	no	—
670	C₂²⋊C₄	—	2	2	no	—
671	C₂²⋊C₄	—	2	4	no	—
672	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
673	C₄²	—	2	2	no	—
674	C₄²	—	2	2	no	—
675	C₄²	—	2	2	no	—
676	C₄²	—	2	2	no	—
677	C₄²	—	2	4	no	—
678	C₄²	—	2	4	no	—
679	C₄²	—	2	4	no	—
680	C₄²	—	2	2	no	—
681	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
682	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
683	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
684	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
685	C₄²	C₂⁴×C₁₁	1	4	yes	—
686	C₁₁	#61328	1	1	yes	characteristic, direct product factor, Sylow
687	C₂³	—	2	2	no	—
688	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
689	Q₈	—	2	4	no	—
690	Q₈	—	2	4	no	—
691	Q₈	—	2	2	no	—
692	Q₈	—	2	2	no	—
693	Q₈	—	2	2	no	—
694	Q₈	—	2	2	no	—
695	Q₈	—	2	2	no	—
696	Q₈	—	4	2	no	—
697	Q₈	—	4	2	no	—
698	Q₈	—	4	2	no	—
699	Q₈	—	8	1	no	—
700	Q₈	—	8	4	no	—
701	Q₈	C₂×C₁₁×#41	1	4	yes	—
702	D₄	—	2	2	no	—
703	D₄	—	2	2	no	—
704	D₄	—	4	4	no	—
705	D₄	—	4	2	no	—
706	D₄	—	8	1	no	—
707	C₂×C₄	—	2	4	no	—
708	C₂×C₄	—	2	2	no	—
709	C₂×C₄	—	2	2	no	—
710	C₂×C₄	—	2	2	no	—
711	C₂×C₄	—	2	2	no	—
712	C₂×C₄	—	2	2	no	—
713	C₂×C₄	—	2	2	no	—
714	C₂×C₄	—	2	2	no	—
715	C₂×C₄	—	2	2	no	—
716	C₂×C₄	—	4	1	no	—
717	C₂×C₄	—	4	2	no	—
718	C₂×C₄	—	4	4	no	—
719	C₂×C₄	—	8	4	no	—
720	C₂×C₄	—	8	1	no	—
721	C₂×C₄	—	8	1	no	—
722	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
723	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
724	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
725	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
726	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
727	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
728	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
729	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
730	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
731	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
732	C₈	—	2	1	no	—
733	C₈	—	2	1	no	—
734	C₈	—	2	4	no	—
735	C₈	—	2	1	no	—
736	C₈	—	2	1	no	—
737	C₂²	—	2	1	no	—
738	C₂²	—	2	1	no	—
739	C₂²	—	4	2	no	—
740	C₂²	—	4	2	no	—
741	C₂²	—	4	2	no	—
742	C₂²	C₁₁×#548	1	2	yes	—
743	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
744	C₄	—	2	4	no	—
745	C₄	—	2	1	no	—
746	C₄	—	2	4	no	—
747	C₄	—	2	1	no	—
748	C₄	—	2	1	no	—
749	C₄	—	2	4	no	—
750	C₄	—	4	2	no	—
751	C₄	—	4	2	no	—
752	C₄	—	4	2	no	—
753	C₄	—	4	2	no	—
754	C₄	—	4	2	no	—
755	C₄	—	4	2	no	—
756	C₄	C₁₁×#548	1	2	yes	—
757	C₄	C₁₁×#578	1	2	yes	—
758	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
759	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
760	C₂	—	2	2	no	—
761	C₂	—	8	2	no	—
762	C₂	C₂×C₁₁×#548	1	1	yes	characteristic
763	C₂	C₂×C₁₁×#578	1	1	yes	characteristic
764	C₂	C₁₁×#3584	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₁₁×#532	C₂²
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₁₁×#533 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#3502	C₂	semidirect
3. C₁₁×#3377	C₂	semidirect
4. C₁₁×#3375	C₂	semidirect
5. C₁₁×#3374	C₂	semidirect
6. C₁₁×#3365	C₂	semidirect
7. C₁₁×#3364	C₂	semidirect
8. C₁₁×#3363	C₂	semidirect
9. C₁₁×#3137	C₂	semidirect
11. C₁₁×#3083	C₂	semidirect
12. C₁₁×#3078	C₂	semidirect
13. C₁₁×#3044	C₂	semidirect
15. C₁₁×#2960	C₂	semidirect
16. C₁₁×#2947	C₂	semidirect
17. C₂×C₄×C₁₁×Q₁₆	C₂	semidirect
213. #61328	C₁₁	direct (N × H)
306. #3502	C₂×C₁₁	semidirect
307. #3377	C₂×C₁₁	semidirect
308. #3375	C₂×C₁₁	semidirect
309. #3374	C₂×C₁₁	semidirect
310. #3365	C₂×C₁₁	semidirect
311. #3364	C₂×C₁₁	semidirect
312. #3363	C₂×C₁₁	semidirect
313. #3137	C₂×C₁₁	semidirect
315. #3083	C₂×C₁₁	semidirect
316. #3078	C₂×C₁₁	semidirect
317. #3044	C₂×C₁₁	semidirect
319. #2960	C₂×C₁₁	semidirect
320. #2947	C₂×C₁₁	semidirect
321. C₂×C₄×Q₁₆	C₂×C₁₁	semidirect
686. C₁₁	#61328	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×#3507	2
C₁₁×#3502	2
C₁₁×#3377	2
C₁₁×#3375	2
C₁₁×#3374	2
C₁₁×#3365	2
C₁₁×#3364	2
C₁₁×#3363	2
C₁₁×#3137	2
C₁₁×#3131	2
C₁₁×#3083	2
C₁₁×#3078	2
C₁₁×#3044	2
C₁₁×#3037	2
C₁₁×#2960	2
C₁₁×#2947	2
C₂×C₄×C₁₁×Q₁₆	2
#61328	11

Subgroups — C11×#61328 #14638521

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61328 #14638521