Subgroups — C₁₁×#61334 #14638527

Order 2816.

1794 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3506	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	4	yes	maximal, complemented
5	C₁₁×#3371	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3368	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3136	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3135	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3083	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3077	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#3043	C₂	1	2	yes	maximal, complemented
12	C₁₁×#3037	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₁×#2961	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₁×#2947	C₂	1	2	yes	maximal, complemented
15	C₂×C₁₁×#440	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×C₁₁×#137	C₂²	1	2	yes	—
17	C₂²×C₁₁×SD₁₆	C₂²	1	1	yes	characteristic
18	C₁₁×#559	C₂²	1	4	yes	—
19	Q₈²×C₁₁	—	2	1	no	—
20	Q₈²×C₁₁	C₂²	1	2	yes	complemented
21	C₁₁×#557	—	2	1	no	—
22	C₁₁×#557	—	2	2	no	—
23	C₁₁×#557	C₂²	1	4	yes	complemented
24	C₁₁×#557	C₂²	1	2	yes	complemented
25	C₁₁×#556	C₂²	1	2	yes	—
26	C₁₁×#555	—	2	1	no	—
27	C₁₁×#553	—	2	2	no	—
28	C₁₁×#550	C₂²	1	2	yes	—
29	C₁₁×#547	—	2	1	no	—
30	C₁₁×#544	—	2	2	no	—
31	C₁₁×#544	C₂²	1	2	yes	—
32	C₁₁×#538	—	2	2	no	—
33	C₁₁×#535	C₂²	1	2	yes	—
34	C₁₁×#533	—	2	2	no	—
35	C₁₁×#533	C₂²	1	1	yes	characteristic
36	C₁₁×#533	C₂²	1	1	yes	characteristic
37	C₁₁×#532	C₂²	1	1	yes	characteristic
38	C₁₁×#525	—	2	2	no	—
39	C₁₁×#520	C₂²	1	2	yes	—
40	C₁₁×#519	C₂²	1	2	yes	—
41	C₂×C₄×Q₈×C₁₁	C₂²	1	1	yes	characteristic
42	C₂×C₄×D₄×C₁₁	C₂²	1	1	yes	characteristic
43	C₁₁×#491	C₂²	1	2	yes	complemented
44	C₁₁×#490	C₂²	1	4	yes	—
45	C₁₁×#490	C₂²	1	2	yes	complemented
46	C₁₁×#489	C₂²	1	4	yes	—
47	C₁₁×#489	C₂²	1	2	yes	complemented
48	C₁₁×#489	C₂²	1	2	yes	complemented
49	C₁₁×#488	C₂²	1	4	yes	—
50	C₁₁×#486	C₂²	1	4	yes	—
51	C₁₁×#479	C₂²	1	4	yes	complemented
52	C₁₁×#478	C₂²	1	4	yes	—
53	C₁₁×#478	C₂²	1	4	yes	complemented
54	C₁₁×#477	C₂²	1	4	yes	complemented
55	C₁₁×#476	C₂²	1	2	yes	—
56	C₁₁×#474	C₂²	1	2	yes	—
57	C₁₁×#474	C₂²	1	4	yes	complemented
58	C₁₁×#464	C₂²	1	4	yes	—
59	C₁₁×#464	C₂²	1	4	yes	—
60	C₁₁×#464	C₂²	1	4	yes	complemented
61	C₁₁×#462	C₂²	1	2	yes	complemented
62	C₁₁×#460	C₂²	1	4	yes	—
63	C₁₁×#460	C₂²	1	4	yes	—
64	C₁₁×#460	C₂²	1	2	yes	complemented
65	C₁₁×#446	C₂²	1	4	yes	complemented
66	C₁₁×#446	C₂²	1	4	yes	complemented
67	C₁₁×#441	C₂²	1	4	yes	complemented
68	C₁₁×#440	C₂²	1	4	yes	—
69	C₁₁×#440	C₂²	1	4	yes	—
70	C₁₁×#440	C₂²	1	4	yes	complemented
71	C₄×C₁₁×Q₁₆	C₂²	1	4	yes	complemented
72	C₄×C₁₁×SD₁₆	C₂²	1	4	yes	complemented
73	C₁₁×#428	C₂²	1	2	yes	—
74	C₂×C₁₁×#107	C₂²	1	1	yes	characteristic
75	C₁₁×#424	C₂²	1	2	yes	—
76	C₁₁×#423	C₂²	1	1	yes	characteristic
77	C₁₁×#418	C₂²	1	2	yes	—
78	C₁₁×#417	C₂²	1	2	yes	—
79	C₁₁×#416	C₂²	1	2	yes	—
80	C₁₁×#416	C₂²	1	2	yes	—
81	C₂×C₁₁×#103	C₂²	1	1	yes	characteristic
82	C₂×C₁₁×#102	C₂²	1	1	yes	characteristic
83	C₁₁×#405	C₂²	1	2	yes	—
84	C₂×C₁₁×#97	C₂²	1	1	yes	characteristic
85	C₂×C₁₁×#41	—	2	2	no	—
86	C₂×C₁₁×#41	C₂³	1	2	yes	—
87	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
88	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₁	—	2	1	no	—
90	C₁₁×#137	—	2	8	no	—
91	C₂×C₁₁×Q₁₆	C₂³	1	4	yes	—
92	C₂×C₁₁×SD₁₆	—	2	4	no	—
93	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
94	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	—
95	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
96	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
97	C₂²×C₈×C₁₁	C₂³	1	1	yes	characteristic
98	C₁₁×C₄⋊Q₈	—	2	2	no	—
99	C₁₁×C₄⋊Q₈	—	2	4	no	—
100	C₁₁×C₄⋊Q₈	—	2	2	no	—
101	C₁₁×C₄⋊Q₈	—	2	4	no	—
102	C₁₁×C₄⋊Q₈	—	2	2	no	—
103	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
104	C₁₁×C₄⋊Q₈	D₄	1	1	yes	characteristic
105	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
106	C₁₁×C₄⋊Q₈	C₂³	1	4	yes	—
107	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
108	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
109	C₁₁×#127	C₂³	1	4	yes	—
110	C₁₁×#127	C₂³	1	1	yes	characteristic
111	C₁₁×#126	—	2	4	no	—
112	C₁₁×#125	—	2	4	no	—
113	C₁₁×#125	—	2	4	no	—
114	C₁₁×#125	—	2	4	no	—
115	C₁₁×#125	—	2	2	no	—
116	C₁₁×#125	D₄	1	2	yes	—
117	C₁₁×#125	C₂³	1	4	yes	—
118	C₁₁×#125	C₂³	1	2	yes	—
119	C₁₁×#124	—	2	4	no	—
120	C₁₁×#124	C₂³	1	4	yes	—
121	C₁₁×#124	C₂³	1	2	yes	—
122	C₁₁×#123	—	2	4	no	—
123	C₁₁×#123	—	2	4	no	—
124	C₁₁×C₂²⋊Q₈	—	2	2	no	—
125	C₁₁×C₂²⋊Q₈	—	2	1	no	—
126	C₁₁×C₂²⋊Q₈	—	2	1	no	—
127	C₁₁×C₂²⋊Q₈	—	2	4	no	—
128	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
129	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
130	C₁₁×#121	—	2	1	no	—
131	C₁₁×#121	—	2	1	no	—
132	C₁₁×#121	—	2	2	no	—
133	C₁₁×#121	—	2	2	no	—
134	C₁₁×#121	—	2	2	no	—
135	C₁₁×#121	—	2	4	no	—
136	C₁₁×#120	—	2	4	no	—
137	C₄×Q₈×C₁₁	—	2	2	no	—
138	C₄×Q₈×C₁₁	—	2	2	no	—
139	C₄×Q₈×C₁₁	—	2	2	no	—
140	C₄×Q₈×C₁₁	—	2	4	no	—
141	C₄×Q₈×C₁₁	—	2	2	no	—
142	C₄×Q₈×C₁₁	—	2	1	no	—
143	C₄×Q₈×C₁₁	—	2	1	no	—
144	C₄×Q₈×C₁₁	—	2	1	no	—
145	C₄×Q₈×C₁₁	—	2	1	no	—
146	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
147	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
148	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
149	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
150	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
151	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
152	C₄×Q₈×C₁₁	C₂³	1	2	yes	—
153	C₄×D₄×C₁₁	—	2	4	no	—
154	C₄×D₄×C₁₁	—	2	4	no	—
155	C₄×D₄×C₁₁	—	2	1	no	—
156	C₄×D₄×C₁₁	—	2	1	no	—
157	C₄×D₄×C₁₁	—	2	1	no	—
158	C₄×D₄×C₁₁	—	2	1	no	—
159	C₄×D₄×C₁₁	C₂³	1	2	yes	—
160	C₄×D₄×C₁₁	C₂³	1	2	yes	—
161	C₄×D₄×C₁₁	C₂³	1	4	yes	—
162	C₁₁×#117	—	2	2	no	—
163	C₁₁×#117	—	2	2	no	—
164	C₁₁×#117	—	2	4	no	—
165	C₁₁×#117	C₂³	1	2	yes	—
166	C₁₁×#117	C₂³	1	2	yes	—
167	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
168	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
169	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
170	C₂×C₁₁×C₄⋊C₄	C₂³	1	1	yes	characteristic
171	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
172	C₂×C₄²×C₁₁	—	2	1	no	—
173	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
174	C₁₁×#107	C₂³	1	4	yes	—
175	C₁₁×#107	C₂³	1	4	yes	—
176	C₁₁×#106	C₂³	1	4	yes	—
177	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
178	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
179	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
180	C₁₁×C₄⋊C₈	C₂³	1	4	yes	—
181	C₁₁×#103	C₂³	1	2	yes	—
182	C₁₁×#103	C₂³	1	4	yes	—
183	C₁₁×#103	C₂³	1	2	yes	—
184	C₁₁×#103	C₂³	1	2	yes	—
185	C₁₁×#103	C₂³	1	2	yes	—
186	C₁₁×#103	C₂³	1	4	yes	—
187	C₁₁×#102	C₂³	1	4	yes	—
188	C₁₁×#102	C₂³	1	4	yes	—
189	C₁₁×#102	C₂³	1	2	yes	—
190	C₁₁×#102	C₂³	1	2	yes	—
191	C₁₁×#102	C₂³	1	2	yes	—
192	C₁₁×#102	C₂³	1	2	yes	—
193	C₁₁×#102	C₂³	1	4	yes	—
194	C₁₁×#102	C₂³	1	4	yes	—
195	C₁₁×#97	C₂³	1	4	yes	—
196	C₁₁×#97	C₂³	1	2	yes	—
197	C₁₁×#97	C₂³	1	2	yes	—
198	C₄×C₈×C₁₁	C₂³	1	4	yes	—
199	#61334	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
200	C₂⁴×C₁₁	—	2	1	no	—
201	C₁₁×#41	—	2	4	no	—
202	C₁₁×#41	—	2	4	no	—
203	C₁₁×#41	—	8	4	no	—
204	C₂×Q₈×C₁₁	—	2	1	no	—
205	C₂×Q₈×C₁₁	—	2	1	no	—
206	C₂×Q₈×C₁₁	—	2	1	no	—
207	C₂×Q₈×C₁₁	—	2	4	no	—
208	C₂×Q₈×C₁₁	—	2	2	no	—
209	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
210	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
211	C₂×Q₈×C₁₁	#41	1	4	yes	complemented
212	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
213	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
214	C₂×D₄×C₁₁	—	2	2	no	—
215	C₂×D₄×C₁₁	—	2	1	no	—
216	C₂×D₄×C₁₁	—	2	1	no	—
217	C₂×D₄×C₁₁	—	2	4	no	—
218	C₂×D₄×C₁₁	—	2	1	no	—
219	C₂×D₄×C₁₁	—	2	4	no	—
220	C₂×D₄×C₁₁	—	2	2	no	—
221	C₂×D₄×C₁₁	—	2	2	no	—
222	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
223	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
224	C₂²×C₄×C₁₁	—	2	1	no	—
225	C₂²×C₄×C₁₁	—	2	1	no	—
226	C₂²×C₄×C₁₁	—	2	1	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	2	no	—
231	C₂²×C₄×C₁₁	—	8	2	no	—
232	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
233	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
234	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
235	C₁₁×Q₁₆	—	2	8	no	—
236	C₁₁×SD₁₆	—	2	8	no	—
237	C₁₁×SD₁₆	—	2	8	no	—
238	C₁₁×M₁₆	—	2	4	no	—
239	C₂×C₈×C₁₁	—	2	2	no	—
240	C₂×C₈×C₁₁	—	2	2	no	—
241	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
242	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
243	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
244	C₁₁×C₄⋊C₄	—	2	1	no	—
245	C₁₁×C₄⋊C₄	—	2	4	no	—
246	C₁₁×C₄⋊C₄	—	2	2	no	—
247	C₁₁×C₄⋊C₄	—	2	2	no	—
248	C₁₁×C₄⋊C₄	—	2	1	no	—
249	C₁₁×C₄⋊C₄	—	2	1	no	—
250	C₁₁×C₄⋊C₄	—	2	4	no	—
251	C₁₁×C₄⋊C₄	—	2	4	no	—
252	C₁₁×C₄⋊C₄	—	2	1	no	—
253	C₁₁×C₄⋊C₄	—	2	2	no	—
254	C₁₁×C₄⋊C₄	—	2	1	no	—
255	C₁₁×C₄⋊C₄	—	2	1	no	—
256	C₁₁×C₄⋊C₄	—	2	4	no	—
257	C₁₁×C₄⋊C₄	—	2	4	no	—
258	C₁₁×C₄⋊C₄	—	2	2	no	—
259	C₁₁×C₄⋊C₄	—	2	4	no	—
260	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
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	4	yes	—
264	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
265	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
266	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
267	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
268	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
269	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
270	C₁₁×C₂²⋊C₄	—	2	2	no	—
271	C₁₁×C₂²⋊C₄	—	2	2	no	—
272	C₁₁×C₂²⋊C₄	—	2	2	no	—
273	C₁₁×C₂²⋊C₄	—	2	4	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	2	no	—
278	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
279	C₄²×C₁₁	—	2	2	no	—
280	C₄²×C₁₁	—	2	2	no	—
281	C₄²×C₁₁	—	2	4	no	—
282	C₄²×C₁₁	—	2	4	no	—
283	C₄²×C₁₁	—	2	4	no	—
284	C₄²×C₁₁	—	2	2	no	—
285	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
286	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
287	C₄²×C₁₁	C₂⁴	1	4	yes	—
288	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
289	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
290	#3506	C₂×C₁₁	1	1	yes	characteristic
291	#3502	C₂×C₁₁	1	1	yes	characteristic, complemented
292	#3377	C₂×C₁₁	1	4	yes	complemented
293	#3375	C₂×C₁₁	1	4	yes	complemented
294	#3371	C₂×C₁₁	1	4	yes	complemented
295	#3368	C₂×C₁₁	1	4	yes	complemented
296	#3136	C₂×C₁₁	1	2	yes	complemented
297	#3135	C₂×C₁₁	1	1	yes	characteristic, complemented
298	#3083	C₂×C₁₁	1	2	yes	complemented
299	#3077	C₂×C₁₁	1	1	yes	characteristic, complemented
300	#3043	C₂×C₁₁	1	2	yes	complemented
301	#3037	C₂×C₁₁	1	1	yes	characteristic, complemented
302	#2961	C₂×C₁₁	1	1	yes	characteristic, complemented
303	#2947	C₂×C₁₁	1	2	yes	complemented
304	C₂×#440	C₂×C₁₁	1	1	yes	characteristic, complemented
305	C₂³×C₁₁	—	2	2	no	—
306	C₂³×C₁₁	—	2	2	no	—
307	C₂³×C₁₁	—	4	2	no	—
308	C₂³×C₁₁	—	8	1	no	—
309	C₂³×C₁₁	—	8	1	no	—
310	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
311	Q₈×C₁₁	—	2	4	no	—
312	Q₈×C₁₁	—	2	2	no	—
313	Q₈×C₁₁	—	2	2	no	—
314	Q₈×C₁₁	—	2	2	no	—
315	Q₈×C₁₁	—	4	2	no	—
316	Q₈×C₁₁	—	4	2	no	—
317	Q₈×C₁₁	—	4	2	no	—
318	Q₈×C₁₁	—	8	1	no	—
319	Q₈×C₁₁	—	8	4	no	—
320	Q₈×C₁₁	C₂×#41	1	4	yes	—
321	D₄×C₁₁	—	2	2	no	—
322	D₄×C₁₁	—	2	2	no	—
323	D₄×C₁₁	—	2	2	no	—
324	D₄×C₁₁	—	2	2	no	—
325	D₄×C₁₁	—	4	2	no	—
326	D₄×C₁₁	—	4	4	no	—
327	D₄×C₁₁	—	4	2	no	—
328	D₄×C₁₁	—	8	1	no	—
329	D₄×C₁₁	—	8	4	no	—
330	D₄×C₁₁	—	8	4	no	—
331	C₂×C₄×C₁₁	—	2	4	no	—
332	C₂×C₄×C₁₁	—	2	2	no	—
333	C₂×C₄×C₁₁	—	2	2	no	—
334	C₂×C₄×C₁₁	—	2	2	no	—
335	C₂×C₄×C₁₁	—	2	2	no	—
336	C₂×C₄×C₁₁	—	2	2	no	—
337	C₂×C₄×C₁₁	—	2	2	no	—
338	C₂×C₄×C₁₁	—	4	1	no	—
339	C₂×C₄×C₁₁	—	4	1	no	—
340	C₂×C₄×C₁₁	—	4	4	no	—
341	C₂×C₄×C₁₁	—	4	4	no	—
342	C₂×C₄×C₁₁	—	8	2	no	—
343	C₂×C₄×C₁₁	—	8	4	no	—
344	C₂×C₄×C₁₁	—	8	1	no	—
345	C₂×C₄×C₁₁	—	8	1	no	—
346	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
347	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
348	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
349	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
350	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
351	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
352	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
353	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
354	C₂×C₄×C₁₁	2₋¹⁺⁴	1	2	yes	—
355	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
356	C₈×C₁₁	—	2	2	no	—
357	C₈×C₁₁	—	2	4	no	—
358	C₈×C₁₁	—	2	2	no	—
359	C₂×#137	C₂²×C₁₁	1	2	yes	—
360	C₂²×SD₁₆	C₂²×C₁₁	1	1	yes	characteristic
361	#559	C₂²×C₁₁	1	4	yes	—
362	Q₈²	—	2	1	no	—
363	Q₈²	C₂²×C₁₁	1	2	yes	complemented
364	#557	—	2	1	no	—
365	#557	—	2	2	no	—
366	#557	C₂²×C₁₁	1	4	yes	complemented
367	#557	C₂²×C₁₁	1	2	yes	complemented
368	#556	C₂²×C₁₁	1	2	yes	—
369	#555	—	2	1	no	—
370	#553	—	2	2	no	—
371	#550	C₂²×C₁₁	1	2	yes	—
372	#547	—	2	1	no	—
373	#544	—	2	2	no	—
374	#544	C₂²×C₁₁	1	2	yes	—
375	#538	—	2	2	no	—
376	#535	C₂²×C₁₁	1	2	yes	—
377	#533	—	2	2	no	—
378	#533	C₂²×C₁₁	1	1	yes	characteristic
379	#533	C₂²×C₁₁	1	1	yes	characteristic
380	#532	C₂²×C₁₁	1	1	yes	characteristic
381	#525	—	2	2	no	—
382	#520	C₂²×C₁₁	1	2	yes	—
383	#519	C₂²×C₁₁	1	2	yes	—
384	C₂×C₄×Q₈	C₂²×C₁₁	1	1	yes	characteristic
385	C₂×C₄×D₄	C₂²×C₁₁	1	1	yes	characteristic
386	#491	C₂²×C₁₁	1	2	yes	complemented
387	#490	C₂²×C₁₁	1	4	yes	—
388	#490	C₂²×C₁₁	1	2	yes	complemented
389	#489	C₂²×C₁₁	1	4	yes	—
390	#489	C₂²×C₁₁	1	2	yes	complemented
391	#489	C₂²×C₁₁	1	2	yes	complemented
392	#488	C₂²×C₁₁	1	4	yes	—
393	#486	C₂²×C₁₁	1	4	yes	—
394	#479	C₂²×C₁₁	1	4	yes	complemented
395	#478	C₂²×C₁₁	1	4	yes	—
396	#478	C₂²×C₁₁	1	4	yes	complemented
397	#477	C₂²×C₁₁	1	4	yes	complemented
398	#476	C₂²×C₁₁	1	2	yes	—
399	#474	C₂²×C₁₁	1	2	yes	—
400	#474	C₂²×C₁₁	1	4	yes	complemented
401	#464	C₂²×C₁₁	1	4	yes	—
402	#464	C₂²×C₁₁	1	4	yes	—
403	#464	C₂²×C₁₁	1	4	yes	complemented
404	#462	C₂²×C₁₁	1	2	yes	complemented
405	#460	C₂²×C₁₁	1	4	yes	—
406	#460	C₂²×C₁₁	1	4	yes	—
407	#460	C₂²×C₁₁	1	2	yes	complemented
408	#446	C₂²×C₁₁	1	4	yes	complemented
409	#446	C₂²×C₁₁	1	4	yes	complemented
410	#441	C₂²×C₁₁	1	4	yes	complemented
411	#440	C₂²×C₁₁	1	4	yes	—
412	#440	C₂²×C₁₁	1	4	yes	—
413	#440	C₂²×C₁₁	1	4	yes	complemented
414	C₄×Q₁₆	C₂²×C₁₁	1	4	yes	complemented
415	C₄×SD₁₆	C₂²×C₁₁	1	4	yes	complemented
416	#428	C₂²×C₁₁	1	2	yes	—
417	C₂×#107	C₂²×C₁₁	1	1	yes	characteristic
418	#424	C₂²×C₁₁	1	2	yes	—
419	#423	C₂²×C₁₁	1	1	yes	characteristic
420	#418	C₂²×C₁₁	1	2	yes	—
421	#417	C₂²×C₁₁	1	2	yes	—
422	#416	C₂²×C₁₁	1	2	yes	—
423	#416	C₂²×C₁₁	1	2	yes	—
424	C₂×#103	C₂²×C₁₁	1	1	yes	characteristic
425	C₂×#102	C₂²×C₁₁	1	1	yes	characteristic
426	#405	C₂²×C₁₁	1	2	yes	—
427	C₂×#97	C₂²×C₁₁	1	1	yes	characteristic
428	C₂²×C₁₁	—	2	1	no	—
429	C₂²×C₁₁	—	2	1	no	—
430	C₂²×C₁₁	—	4	2	no	—
431	C₂²×C₁₁	—	4	2	no	—
432	C₂²×C₁₁	—	4	2	no	—
433	C₂²×C₁₁	—	4	2	no	—
434	C₂²×C₁₁	—	4	2	no	—
435	C₂²×C₁₁	—	4	2	no	—
436	C₂²×C₁₁	—	8	4	no	—
437	C₂²×C₁₁	#548	1	2	yes	—
438	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
439	C₄×C₁₁	—	2	1	no	—
440	C₄×C₁₁	—	2	1	no	—
441	C₄×C₁₁	—	2	4	no	—
442	C₄×C₁₁	—	2	1	no	—
443	C₄×C₁₁	—	2	1	no	—
444	C₄×C₁₁	—	2	4	no	—
445	C₄×C₁₁	—	2	4	no	—
446	C₄×C₁₁	—	4	2	no	—
447	C₄×C₁₁	—	4	2	no	—
448	C₄×C₁₁	—	4	2	no	—
449	C₄×C₁₁	—	4	2	no	—
450	C₄×C₁₁	—	4	2	no	—
451	C₄×C₁₁	#548	1	2	yes	—
452	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
453	C₄×C₁₁	C₂×2₋¹⁺⁴	1	1	yes	characteristic
454	C₂×#41	—	2	2	no	—
455	C₂×#41	C₂³×C₁₁	1	2	yes	—
456	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
457	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
458	C₂³×C₄	—	2	1	no	—
459	#137	—	2	8	no	—
460	C₂×Q₁₆	C₂³×C₁₁	1	4	yes	—
461	C₂×SD₁₆	—	2	4	no	—
462	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
463	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	—
464	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
465	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
466	C₂²×C₈	C₂³×C₁₁	1	1	yes	characteristic
467	C₄⋊Q₈	—	2	2	no	—
468	C₄⋊Q₈	—	2	4	no	—
469	C₄⋊Q₈	—	2	2	no	—
470	C₄⋊Q₈	—	2	4	no	—
471	C₄⋊Q₈	—	2	2	no	—
472	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
473	C₄⋊Q₈	D₄×C₁₁	1	1	yes	characteristic
474	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
475	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
476	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
477	C₄⋊Q₈	C₂³×C₁₁	1	4	yes	—
478	#127	C₂³×C₁₁	1	1	yes	characteristic
479	#127	C₂³×C₁₁	1	4	yes	—
480	#126	—	2	4	no	—
481	#125	—	2	4	no	—
482	#125	—	2	4	no	—
483	#125	—	2	4	no	—
484	#125	—	2	2	no	—
485	#125	D₄×C₁₁	1	2	yes	—
486	#125	C₂³×C₁₁	1	2	yes	—
487	#125	C₂³×C₁₁	1	4	yes	—
488	#124	—	2	4	no	—
489	#124	C₂³×C₁₁	1	2	yes	—
490	#124	C₂³×C₁₁	1	4	yes	—
491	#123	—	2	4	no	—
492	#123	—	2	4	no	—
493	C₂²⋊Q₈	—	2	2	no	—
494	C₂²⋊Q₈	—	2	1	no	—
495	C₂²⋊Q₈	—	2	1	no	—
496	C₂²⋊Q₈	—	2	4	no	—
497	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
498	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
499	#121	—	2	1	no	—
500	#121	—	2	1	no	—
501	#121	—	2	2	no	—
502	#121	—	2	2	no	—
503	#121	—	2	2	no	—
504	#121	—	2	4	no	—
505	#120	—	2	4	no	—
506	C₄×Q₈	—	2	2	no	—
507	C₄×Q₈	—	2	2	no	—
508	C₄×Q₈	—	2	2	no	—
509	C₄×Q₈	—	2	4	no	—
510	C₄×Q₈	—	2	2	no	—
511	C₄×Q₈	—	2	1	no	—
512	C₄×Q₈	—	2	1	no	—
513	C₄×Q₈	—	2	1	no	—
514	C₄×Q₈	—	2	1	no	—
515	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
516	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
517	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
518	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
519	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
520	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
521	C₄×Q₈	C₂³×C₁₁	1	2	yes	—
522	C₄×D₄	—	2	4	no	—
523	C₄×D₄	—	2	4	no	—
524	C₄×D₄	—	2	1	no	—
525	C₄×D₄	—	2	1	no	—
526	C₄×D₄	—	2	1	no	—
527	C₄×D₄	—	2	1	no	—
528	C₄×D₄	C₂³×C₁₁	1	2	yes	—
529	C₄×D₄	C₂³×C₁₁	1	2	yes	—
530	C₄×D₄	C₂³×C₁₁	1	4	yes	—
531	#117	—	2	2	no	—
532	#117	—	2	2	no	—
533	#117	—	2	4	no	—
534	#117	C₂³×C₁₁	1	2	yes	—
535	#117	C₂³×C₁₁	1	2	yes	—
536	C₂×C₄⋊C₄	—	2	1	no	—
537	C₂×C₄⋊C₄	—	2	2	no	—
538	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
539	C₂×C₄⋊C₄	C₂³×C₁₁	1	1	yes	characteristic
540	C₂×C₂²⋊C₄	—	2	1	no	—
541	C₂×C₄²	—	2	1	no	—
542	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
543	#107	C₂³×C₁₁	1	4	yes	—
544	#107	C₂³×C₁₁	1	4	yes	—
545	#106	C₂³×C₁₁	1	4	yes	—
546	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
547	C₄⋊C₈	C₂³×C₁₁	1	2	yes	—
548	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
549	C₄⋊C₈	C₂³×C₁₁	1	4	yes	—
550	#103	C₂³×C₁₁	1	4	yes	—
551	#103	C₂³×C₁₁	1	2	yes	—
552	#103	C₂³×C₁₁	1	2	yes	—
553	#103	C₂³×C₁₁	1	2	yes	—
554	#103	C₂³×C₁₁	1	2	yes	—
555	#103	C₂³×C₁₁	1	4	yes	—
556	#102	C₂³×C₁₁	1	4	yes	—
557	#102	C₂³×C₁₁	1	2	yes	—
558	#102	C₂³×C₁₁	1	2	yes	—
559	#102	C₂³×C₁₁	1	2	yes	—
560	#102	C₂³×C₁₁	1	2	yes	—
561	#102	C₂³×C₁₁	1	4	yes	—
562	#102	C₂³×C₁₁	1	4	yes	—
563	#102	C₂³×C₁₁	1	4	yes	—
564	#97	C₂³×C₁₁	1	2	yes	—
565	#97	C₂³×C₁₁	1	2	yes	—
566	#97	C₂³×C₁₁	1	4	yes	—
567	C₄×C₈	C₂³×C₁₁	1	4	yes	—
568	C₂×C₁₁	—	2	2	no	—
569	C₂×C₁₁	—	8	2	no	—
570	C₂×C₁₁	—	8	2	no	—
571	C₂×C₁₁	C₂×#548	1	1	yes	characteristic
572	C₂×C₁₁	#3585	1	1	yes	characteristic
573	C₂×C₁₁	#3586	1	1	yes	characteristic
574	C₂⁴	—	2	1	no	—
575	#41	—	2	4	no	—
576	#41	—	2	4	no	—
577	#41	—	8	4	no	—
578	C₂×Q₈	—	2	1	no	—
579	C₂×Q₈	—	2	1	no	—
580	C₂×Q₈	—	2	1	no	—
581	C₂×Q₈	—	2	4	no	—
582	C₂×Q₈	—	2	2	no	—
583	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
584	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
585	C₂×Q₈	C₁₁×#41	1	4	yes	complemented
586	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
587	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
588	C₂×D₄	—	2	2	no	—
589	C₂×D₄	—	2	1	no	—
590	C₂×D₄	—	2	1	no	—
591	C₂×D₄	—	2	4	no	—
592	C₂×D₄	—	2	1	no	—
593	C₂×D₄	—	2	4	no	—
594	C₂×D₄	—	2	2	no	—
595	C₂×D₄	—	2	2	no	—
596	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
597	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
598	C₂²×C₄	—	2	1	no	—
599	C₂²×C₄	—	2	1	no	—
600	C₂²×C₄	—	2	1	no	—
601	C₂²×C₄	—	2	2	no	—
602	C₂²×C₄	—	2	2	no	—
603	C₂²×C₄	—	2	4	no	—
604	C₂²×C₄	—	2	2	no	—
605	C₂²×C₄	—	8	2	no	—
606	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
607	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
608	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
609	Q₁₆	—	2	8	no	—
610	SD₁₆	—	2	8	no	—
611	SD₁₆	—	2	8	no	—
612	M₁₆	—	2	4	no	—
613	C₂×C₈	—	2	2	no	—
614	C₂×C₈	—	2	2	no	—
615	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
616	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
617	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
618	C₄⋊C₄	—	2	1	no	—
619	C₄⋊C₄	—	2	4	no	—
620	C₄⋊C₄	—	2	2	no	—
621	C₄⋊C₄	—	2	2	no	—
622	C₄⋊C₄	—	2	1	no	—
623	C₄⋊C₄	—	2	1	no	—
624	C₄⋊C₄	—	2	4	no	—
625	C₄⋊C₄	—	2	4	no	—
626	C₄⋊C₄	—	2	1	no	—
627	C₄⋊C₄	—	2	2	no	—
628	C₄⋊C₄	—	2	1	no	—
629	C₄⋊C₄	—	2	1	no	—
630	C₄⋊C₄	—	2	4	no	—
631	C₄⋊C₄	—	2	4	no	—
632	C₄⋊C₄	—	2	2	no	—
633	C₄⋊C₄	—	2	4	no	—
634	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
635	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
636	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
637	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
638	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
639	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
640	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
641	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
642	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
643	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
644	C₂²⋊C₄	—	2	2	no	—
645	C₂²⋊C₄	—	2	2	no	—
646	C₂²⋊C₄	—	2	2	no	—
647	C₂²⋊C₄	—	2	4	no	—
648	C₂²⋊C₄	—	2	4	no	—
649	C₂²⋊C₄	—	2	2	no	—
650	C₂²⋊C₄	—	2	4	no	—
651	C₂²⋊C₄	—	2	2	no	—
652	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
653	C₄²	—	2	2	no	—
654	C₄²	—	2	2	no	—
655	C₄²	—	2	4	no	—
656	C₄²	—	2	4	no	—
657	C₄²	—	2	4	no	—
658	C₄²	—	2	2	no	—
659	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
660	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
661	C₄²	C₂⁴×C₁₁	1	4	yes	—
662	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
663	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
664	C₁₁	#61334	1	1	yes	characteristic, direct product factor, Sylow
665	C₂³	—	2	2	no	—
666	C₂³	—	2	2	no	—
667	C₂³	—	4	2	no	—
668	C₂³	—	8	1	no	—
669	C₂³	—	8	1	no	—
670	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
671	Q₈	—	2	4	no	—
672	Q₈	—	2	2	no	—
673	Q₈	—	2	2	no	—
674	Q₈	—	2	2	no	—
675	Q₈	—	4	2	no	—
676	Q₈	—	4	2	no	—
677	Q₈	—	4	2	no	—
678	Q₈	—	8	1	no	—
679	Q₈	—	8	4	no	—
680	Q₈	C₂×C₁₁×#41	1	4	yes	—
681	D₄	—	2	2	no	—
682	D₄	—	2	2	no	—
683	D₄	—	2	2	no	—
684	D₄	—	2	2	no	—
685	D₄	—	4	2	no	—
686	D₄	—	4	4	no	—
687	D₄	—	4	2	no	—
688	D₄	—	8	1	no	—
689	D₄	—	8	4	no	—
690	D₄	—	8	4	no	—
691	C₂×C₄	—	2	4	no	—
692	C₂×C₄	—	2	2	no	—
693	C₂×C₄	—	2	2	no	—
694	C₂×C₄	—	2	2	no	—
695	C₂×C₄	—	2	2	no	—
696	C₂×C₄	—	2	2	no	—
697	C₂×C₄	—	2	2	no	—
698	C₂×C₄	—	4	1	no	—
699	C₂×C₄	—	4	1	no	—
700	C₂×C₄	—	4	4	no	—
701	C₂×C₄	—	4	4	no	—
702	C₂×C₄	—	8	2	no	—
703	C₂×C₄	—	8	4	no	—
704	C₂×C₄	—	8	1	no	—
705	C₂×C₄	—	8	1	no	—
706	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
707	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
708	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
709	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
710	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
711	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
712	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
713	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
714	C₂×C₄	C₁₁×2₋¹⁺⁴	1	2	yes	—
715	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
716	C₈	—	2	2	no	—
717	C₈	—	2	4	no	—
718	C₈	—	2	2	no	—
719	C₂²	—	2	1	no	—
720	C₂²	—	2	1	no	—
721	C₂²	—	4	2	no	—
722	C₂²	—	4	2	no	—
723	C₂²	—	4	2	no	—
724	C₂²	—	4	2	no	—
725	C₂²	—	4	2	no	—
726	C₂²	—	4	2	no	—
727	C₂²	—	8	4	no	—
728	C₂²	C₁₁×#548	1	2	yes	—
729	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
730	C₄	—	2	4	no	—
731	C₄	—	2	1	no	—
732	C₄	—	2	1	no	—
733	C₄	—	2	4	no	—
734	C₄	—	2	1	no	—
735	C₄	—	2	1	no	—
736	C₄	—	2	4	no	—
737	C₄	—	4	2	no	—
738	C₄	—	4	2	no	—
739	C₄	—	4	2	no	—
740	C₄	—	4	2	no	—
741	C₄	—	4	2	no	—
742	C₄	C₁₁×#548	1	2	yes	—
743	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
744	C₄	C₂×C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
745	C₂	—	2	2	no	—
746	C₂	—	8	2	no	—
747	C₂	—	8	2	no	—
748	C₂	C₂×C₁₁×#548	1	1	yes	characteristic
749	C₂	C₁₁×#3585	1	1	yes	characteristic
750	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×#3506	C₂
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×#3371	C₂	semidirect
6. C₁₁×#3368	C₂	semidirect
7. C₁₁×#3136	C₂	semidirect
8. C₁₁×#3135	C₂	semidirect
9. C₁₁×#3083	C₂	semidirect
10. C₁₁×#3077	C₂	semidirect
11. C₁₁×#3043	C₂	semidirect
12. C₁₁×#3037	C₂	semidirect
13. C₁₁×#2961	C₂	semidirect
14. C₁₁×#2947	C₂	semidirect
15. C₂×C₁₁×#440	C₂	semidirect
20. Q₈²×C₁₁	C₂²	semidirect
23. C₁₁×#557	C₂²	semidirect
24. C₁₁×#557	C₂²	semidirect
43. C₁₁×#491	C₂²	semidirect
45. C₁₁×#490	C₂²	semidirect
47. C₁₁×#489	C₂²	semidirect
48. C₁₁×#489	C₂²	semidirect
51. C₁₁×#479	C₂²	semidirect
53. C₁₁×#478	C₂²	semidirect
54. C₁₁×#477	C₂²	semidirect
57. C₁₁×#474	C₂²	semidirect
60. C₁₁×#464	C₂²	semidirect
61. C₁₁×#462	C₂²	semidirect
64. C₁₁×#460	C₂²	semidirect
65. C₁₁×#446	C₂²	semidirect
66. C₁₁×#446	C₂²	semidirect
67. C₁₁×#441	C₂²	semidirect
70. C₁₁×#440	C₂²	semidirect
71. C₄×C₁₁×Q₁₆	C₂²	semidirect
72. C₄×C₁₁×SD₁₆	C₂²	semidirect
199. #61334	C₁₁	direct (N × H)
211. C₂×Q₈×C₁₁	#41	semidirect
291. #3502	C₂×C₁₁	semidirect
292. #3377	C₂×C₁₁	semidirect
293. #3375	C₂×C₁₁	semidirect
294. #3371	C₂×C₁₁	semidirect
295. #3368	C₂×C₁₁	semidirect
296. #3136	C₂×C₁₁	semidirect
297. #3135	C₂×C₁₁	semidirect
298. #3083	C₂×C₁₁	semidirect
299. #3077	C₂×C₁₁	semidirect
300. #3043	C₂×C₁₁	semidirect
301. #3037	C₂×C₁₁	semidirect
302. #2961	C₂×C₁₁	semidirect
303. #2947	C₂×C₁₁	semidirect
304. C₂×#440	C₂×C₁₁	semidirect
363. Q₈²	C₂²×C₁₁	semidirect
366. #557	C₂²×C₁₁	semidirect
367. #557	C₂²×C₁₁	semidirect
386. #491	C₂²×C₁₁	semidirect
388. #490	C₂²×C₁₁	semidirect
390. #489	C₂²×C₁₁	semidirect
391. #489	C₂²×C₁₁	semidirect
394. #479	C₂²×C₁₁	semidirect
396. #478	C₂²×C₁₁	semidirect
397. #477	C₂²×C₁₁	semidirect
400. #474	C₂²×C₁₁	semidirect
403. #464	C₂²×C₁₁	semidirect
404. #462	C₂²×C₁₁	semidirect
407. #460	C₂²×C₁₁	semidirect
408. #446	C₂²×C₁₁	semidirect
409. #446	C₂²×C₁₁	semidirect
410. #441	C₂²×C₁₁	semidirect
413. #440	C₂²×C₁₁	semidirect
414. C₄×Q₁₆	C₂²×C₁₁	semidirect
415. C₄×SD₁₆	C₂²×C₁₁	semidirect
585. C₂×Q₈	C₁₁×#41	semidirect
664. C₁₁	#61334	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×#3506	2
C₁₁×#3502	2
C₁₁×#3377	2
C₁₁×#3375	2
C₁₁×#3371	2
C₁₁×#3368	2
C₁₁×#3136	2
C₁₁×#3135	2
C₁₁×#3083	2
C₁₁×#3077	2
C₁₁×#3043	2
C₁₁×#3037	2
C₁₁×#2961	2
C₁₁×#2947	2
C₂×C₁₁×#440	2
#61334	11

Subgroups — C11×#61334 #14638527

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61334 #14638527