Subgroups — C₁₁×#60753 #14637946

Order 2816.

2322 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3449	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₁₁×#535	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3200	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3199	C₂	1	4	yes	maximal, complemented
5	C₁₁×#3198	C₂	1	8	yes	maximal, complemented
6	C₁₁×#3094	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3093	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3055	C₂	1	4	yes	maximal, complemented
9	C₁₁×#3006	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3003	C₂	1	2	yes	maximal, complemented
11	C₁₁×#2879	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
13	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic, complemented
14	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
15	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	4	yes	—
16	C₂²×C₁₁×M₁₆	C₂²	1	2	yes	complemented
17	C₁₁×#537	C₂²	1	4	yes	complemented
18	C₁₁×#536	—	2	1	no	—
19	C₁₁×#536	C₂²	1	2	yes	complemented
20	C₁₁×#535	—	2	2	no	—
21	C₁₁×#535	—	2	2	no	—
22	C₁₁×#535	—	2	1	no	—
23	C₁₁×#535	C₂²	1	4	yes	—
24	C₁₁×#535	C₂²	1	4	yes	complemented
25	C₁₁×#535	C₂²	1	2	yes	complemented
26	C₁₁×#534	—	2	1	no	—
27	C₁₁×#534	—	2	1	no	—
28	C₁₁×#532	—	2	2	no	—
29	C₂×C₁₁×#127	—	2	1	no	—
30	C₂×C₁₁×#124	—	2	1	no	—
31	C₁₁×#525	—	2	2	no	—
32	C₁₁×#525	C₂²	1	2	yes	—
33	C₁₁×#525	C₂²	1	2	yes	complemented
34	C₂×C₁₁×#121	C₂²	1	2	yes	—
35	C₂×C₁₁×#121	C₂²	1	2	yes	complemented
36	C₂×C₁₁×#120	—	2	1	no	—
37	C₂×C₁₁×#120	—	2	1	no	—
38	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic, complemented
40	C₁₁×#485	C₂²	1	8	yes	complemented
41	C₁₁×#482	C₂²	1	8	yes	complemented
42	C₁₁×#482	C₂²	1	8	yes	complemented
43	C₁₁×#481	C₂²	1	4	yes	complemented
44	C₁₁×#480	C₂²	1	4	yes	complemented
45	C₁₁×#469	C₂²	1	8	yes	complemented
46	C₁₁×#468	C₂²	1	8	yes	complemented
47	C₁₁×#466	C₂²	1	8	yes	complemented
48	C₁₁×#465	C₂²	1	8	yes	complemented
49	C₁₁×#450	C₂²	1	8	yes	complemented
50	C₁₁×#449	C₂²	1	8	yes	complemented
51	C₁₁×#448	C₂²	1	4	yes	complemented
52	C₁₁×#447	C₂²	1	8	yes	complemented
53	C₁₁×#447	C₂²	1	4	yes	complemented
54	C₁₁×#428	C₂²	1	4	yes	complemented
55	C₁₁×#418	C₂²	1	4	yes	complemented
56	C₁₁×#417	C₂²	1	4	yes	complemented
57	C₁₁×#408	C₂²	1	4	yes	complemented
58	C₁₁×#408	C₂²	1	4	yes	complemented
59	C₁₁×#407	C₂²	1	2	yes	complemented
60	C₁₁×#407	C₂²	1	2	yes	complemented
61	C₂⁵×C₁₁	—	2	1	no	—
62	C₂×C₁₁×#41	—	2	1	no	—
63	C₂×C₁₁×#41	—	2	1	no	—
64	C₂×C₁₁×#41	—	4	4	no	—
65	C₂×C₁₁×#41	—	4	4	no	—
66	C₂×C₁₁×#41	D₄	1	2	yes	—
67	C₂×C₁₁×#41	D₄	1	2	yes	—
68	C₂×C₁₁×#41	C₂³	1	2	yes	—
69	C₂×C₁₁×#41	C₂³	1	2	yes	—
70	C₂×C₁₁×#41	C₂³	1	2	yes	—
71	C₂×C₁₁×#41	C₂³	1	2	yes	complemented
72	C₂²×Q₈×C₁₁	D₄	1	1	yes	characteristic
73	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic, complemented
74	C₂²×D₄×C₁₁	—	2	1	no	—
75	C₂²×D₄×C₁₁	—	2	2	no	—
76	C₂²×D₄×C₁₁	—	2	2	no	—
77	C₂²×D₄×C₁₁	—	2	1	no	—
78	C₂²×D₄×C₁₁	—	2	2	no	—
79	C₂²×D₄×C₁₁	—	4	4	no	—
80	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
81	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
82	C₂²×D₄×C₁₁	D₄	1	1	yes	characteristic
83	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
84	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
85	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic, complemented
86	C₂³×C₄×C₁₁	—	2	1	no	—
87	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
88	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
89	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
90	C₁₁×AGL(1,ℤ/8)	—	4	8	no	—
91	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	—
92	C₂×C₁₁×D₈	C₂³	1	8	yes	—
93	C₂×C₁₁×M₁₆	—	4	4	no	—
94	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
95	C₂×C₁₁×M₁₆	C₂³	1	4	yes	complemented
96	C₂²×C₈×C₁₁	C₂³	1	4	yes	complemented
97	C₁₁×C₄⋊Q₈	—	2	2	no	—
98	C₁₁×#127	—	2	4	no	—
99	C₁₁×#127	—	2	4	no	—
100	C₁₁×#127	—	2	2	no	—
101	C₁₁×#124	—	2	4	no	—
102	C₁₁×#124	—	2	4	no	—
103	C₁₁×#124	—	2	2	no	—
104	C₁₁×#124	—	2	2	no	—
105	C₁₁×#123	—	2	2	no	—
106	C₁₁×#123	—	2	2	no	—
107	C₁₁×#123	—	2	2	no	—
108	C₁₁×#123	—	2	2	no	—
109	C₁₁×C₂²⋊Q₈	—	2	4	no	—
110	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
111	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	complemented
112	C₁₁×#121	—	2	4	no	—
113	C₁₁×#121	—	2	4	no	—
114	C₁₁×#121	—	2	4	no	—
115	C₁₁×#121	—	2	2	no	—
116	C₁₁×#121	—	2	2	no	—
117	C₁₁×#121	—	2	4	no	—
118	C₁₁×#121	C₂³	1	4	yes	—
119	C₁₁×#121	C₂³	1	4	yes	—
120	C₁₁×#121	C₂³	1	8	yes	—
121	C₁₁×#121	C₂³	1	4	yes	—
122	C₁₁×#121	C₂³	1	4	yes	complemented
123	C₁₁×#120	—	2	2	no	—
124	C₁₁×#120	—	2	2	no	—
125	C₁₁×#120	—	2	4	no	—
126	C₁₁×#120	—	2	4	no	—
127	C₁₁×#120	—	2	4	no	—
128	C₁₁×#120	—	2	4	no	—
129	C₁₁×#120	—	2	2	no	—
130	C₁₁×#120	—	2	2	no	—
131	C₄×D₄×C₁₁	—	2	4	no	—
132	C₄×D₄×C₁₁	—	2	4	no	—
133	C₁₁×#117	—	2	1	no	—
134	C₁₁×#117	—	2	2	no	—
135	C₁₁×#117	—	2	1	no	—
136	C₁₁×#117	C₂³	1	2	yes	—
137	C₁₁×#117	C₂³	1	4	yes	—
138	C₁₁×#117	C₂³	1	2	yes	complemented
139	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
140	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	complemented
141	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
142	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
143	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
144	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
145	C₂×C₄²×C₁₁	—	2	1	no	—
146	C₂×C₄²×C₁₁	—	2	1	no	—
147	C₁₁×#107	C₂³	1	8	yes	complemented
148	C₁₁×#106	C₂³	1	8	yes	complemented
149	C₁₁×#103	C₂³	1	8	yes	complemented
150	C₁₁×#102	C₂³	1	8	yes	—
151	C₁₁×#102	C₂³	1	8	yes	—
152	C₁₁×#102	C₂³	1	8	yes	complemented
153	C₁₁×C₂²⋊C₈	C₂³	1	8	yes	—
154	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	complemented
155	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	complemented
156	#60753	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
157	C₂⁴×C₁₁	—	2	2	no	—
158	C₂⁴×C₁₁	—	2	1	no	—
159	C₂⁴×C₁₁	—	2	4	no	—
160	C₂⁴×C₁₁	—	4	4	no	—
161	C₂⁴×C₁₁	—	8	4	no	—
162	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
163	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
164	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
165	C₁₁×#41	—	2	8	no	—
166	C₁₁×#41	—	4	4	no	—
167	C₁₁×#41	—	4	4	no	—
168	C₁₁×#41	—	4	2	no	—
169	C₁₁×#41	—	4	2	no	—
170	C₁₁×#41	—	4	2	no	—
171	C₁₁×#41	—	4	2	no	—
172	C₁₁×#41	—	4	4	no	—
173	C₁₁×#41	—	4	4	no	—
174	C₁₁×#41	—	4	4	no	—
175	C₂×Q₈×C₁₁	—	2	1	no	—
176	C₂×Q₈×C₁₁	—	4	2	no	—
177	C₂×Q₈×C₁₁	—	4	2	no	—
178	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
179	C₂×Q₈×C₁₁	C₂×D₄	1	2	yes	—
180	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
181	C₂×D₄×C₁₁	—	2	2	no	—
182	C₂×D₄×C₁₁	—	2	2	no	—
183	C₂×D₄×C₁₁	—	2	4	no	—
184	C₂×D₄×C₁₁	—	2	4	no	—
185	C₂×D₄×C₁₁	—	2	4	no	—
186	C₂×D₄×C₁₁	—	2	8	no	—
187	C₂×D₄×C₁₁	—	2	4	no	—
188	C₂×D₄×C₁₁	—	2	2	no	—
189	C₂×D₄×C₁₁	—	2	4	no	—
190	C₂×D₄×C₁₁	—	2	1	no	—
191	C₂×D₄×C₁₁	—	2	8	no	—
192	C₂×D₄×C₁₁	—	4	4	no	—
193	C₂×D₄×C₁₁	—	4	4	no	—
194	C₂×D₄×C₁₁	—	4	2	no	—
195	C₂×D₄×C₁₁	—	4	2	no	—
196	C₂×D₄×C₁₁	—	4	2	no	—
197	C₂×D₄×C₁₁	—	4	2	no	—
198	C₂×D₄×C₁₁	—	4	4	no	—
199	C₂×D₄×C₁₁	—	4	8	no	—
200	C₂×D₄×C₁₁	—	4	4	no	—
201	C₂×D₄×C₁₁	—	8	4	no	—
202	C₂×D₄×C₁₁	—	8	4	no	—
203	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
204	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
205	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
206	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
207	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
208	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
209	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
210	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
211	C₂²×C₄×C₁₁	—	2	4	no	—
212	C₂²×C₄×C₁₁	—	2	4	no	—
213	C₂²×C₄×C₁₁	—	2	4	no	—
214	C₂²×C₄×C₁₁	—	2	2	no	—
215	C₂²×C₄×C₁₁	—	2	1	no	—
216	C₂²×C₄×C₁₁	—	2	2	no	—
217	C₂²×C₄×C₁₁	—	2	2	no	—
218	C₂²×C₄×C₁₁	—	2	2	no	—
219	C₂²×C₄×C₁₁	—	4	4	no	—
220	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
222	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
223	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
224	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
225	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
226	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
227	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
228	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
229	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
230	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
231	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
232	C₁₁×SD₁₆	—	4	8	no	—
233	C₁₁×D₈	—	4	8	no	—
234	C₁₁×M₁₆	—	2	8	no	—
235	C₁₁×M₁₆	—	4	4	no	—
236	C₂×C₈×C₁₁	—	4	4	no	—
237	C₂×C₈×C₁₁	C₂⁴	1	8	yes	—
238	C₁₁×C₄⋊C₄	—	2	2	no	—
239	C₁₁×C₄⋊C₄	—	2	2	no	—
240	C₁₁×C₄⋊C₄	—	2	4	no	—
241	C₁₁×C₄⋊C₄	—	2	4	no	—
242	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
243	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
244	C₁₁×C₂²⋊C₄	—	2	4	no	—
245	C₁₁×C₂²⋊C₄	—	2	2	no	—
246	C₁₁×C₂²⋊C₄	—	2	2	no	—
247	C₁₁×C₂²⋊C₄	—	2	4	no	—
248	C₁₁×C₂²⋊C₄	—	2	4	no	—
249	C₁₁×C₂²⋊C₄	—	2	4	no	—
250	C₁₁×C₂²⋊C₄	—	2	8	no	—
251	C₁₁×C₂²⋊C₄	—	2	4	no	—
252	C₁₁×C₂²⋊C₄	—	2	4	no	—
253	C₁₁×C₂²⋊C₄	—	2	4	no	—
254	C₄²×C₁₁	—	2	2	no	—
255	C₄²×C₁₁	—	2	4	no	—
256	C₄²×C₁₁	—	2	2	no	—
257	#3449	C₂×C₁₁	1	1	yes	characteristic, complemented
258	C₂×#535	C₂×C₁₁	1	1	yes	characteristic, complemented
259	#3200	C₂×C₁₁	1	4	yes	complemented
260	#3199	C₂×C₁₁	1	4	yes	complemented
261	#3198	C₂×C₁₁	1	8	yes	complemented
262	#3094	C₂×C₁₁	1	2	yes	complemented
263	#3093	C₂×C₁₁	1	2	yes	complemented
264	#3055	C₂×C₁₁	1	4	yes	complemented
265	#3006	C₂×C₁₁	1	2	yes	complemented
266	#3003	C₂×C₁₁	1	2	yes	complemented
267	#2879	C₂×C₁₁	1	1	yes	characteristic, complemented
268	C₂³×C₁₁	—	2	2	no	—
269	C₂³×C₁₁	—	2	2	no	—
270	C₂³×C₁₁	—	2	2	no	—
271	C₂³×C₁₁	—	2	2	no	—
272	C₂³×C₁₁	—	2	4	no	—
273	C₂³×C₁₁	—	4	2	no	—
274	C₂³×C₁₁	—	4	2	no	—
275	C₂³×C₁₁	—	4	2	no	—
276	C₂³×C₁₁	—	4	2	no	—
277	C₂³×C₁₁	—	4	8	no	—
278	C₂³×C₁₁	—	4	4	no	—
279	C₂³×C₁₁	—	4	4	no	—
280	C₂³×C₁₁	—	4	4	no	—
281	C₂³×C₁₁	—	8	2	no	—
282	C₂³×C₁₁	—	8	8	no	—
283	C₂³×C₁₁	—	8	16	no	—
284	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
285	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
286	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
287	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
288	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
289	Q₈×C₁₁	—	2	4	no	—
290	Q₈×C₁₁	—	4	2	no	—
291	Q₈×C₁₁	—	4	2	no	—
292	Q₈×C₁₁	—	4	2	no	—
293	D₄×C₁₁	—	2	4	no	—
294	D₄×C₁₁	—	2	8	no	—
295	D₄×C₁₁	—	4	2	no	—
296	D₄×C₁₁	—	4	2	no	—
297	D₄×C₁₁	—	4	2	no	—
298	D₄×C₁₁	—	4	2	no	—
299	D₄×C₁₁	—	4	2	no	—
300	D₄×C₁₁	—	4	2	no	—
301	D₄×C₁₁	—	4	8	no	—
302	D₄×C₁₁	—	4	2	no	—
303	D₄×C₁₁	—	4	4	no	—
304	D₄×C₁₁	—	4	4	no	—
305	D₄×C₁₁	—	4	4	no	—
306	D₄×C₁₁	—	8	4	no	—
307	D₄×C₁₁	—	8	4	no	—
308	D₄×C₁₁	—	8	4	no	—
309	D₄×C₁₁	—	8	8	no	—
310	D₄×C₁₁	—	8	4	no	—
311	C₂×C₄×C₁₁	—	2	2	no	—
312	C₂×C₄×C₁₁	—	2	2	no	—
313	C₂×C₄×C₁₁	—	2	2	no	—
314	C₂×C₄×C₁₁	—	2	2	no	—
315	C₂×C₄×C₁₁	—	2	4	no	—
316	C₂×C₄×C₁₁	—	2	4	no	—
317	C₂×C₄×C₁₁	—	2	2	no	—
318	C₂×C₄×C₁₁	—	2	2	no	—
319	C₂×C₄×C₁₁	—	2	2	no	—
320	C₂×C₄×C₁₁	—	2	2	no	—
321	C₂×C₄×C₁₁	—	2	2	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	4	no	—
325	C₂×C₄×C₁₁	—	2	4	no	—
326	C₂×C₄×C₁₁	—	2	2	no	—
327	C₂×C₄×C₁₁	—	4	4	no	—
328	C₂×C₄×C₁₁	—	4	2	no	—
329	C₂×C₄×C₁₁	—	4	4	no	—
330	C₂×C₄×C₁₁	—	4	4	no	—
331	C₂×C₄×C₁₁	—	8	2	no	—
332	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
333	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
334	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
335	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
336	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
337	C₂×C₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
338	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
339	C₈×C₁₁	—	2	8	no	—
340	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
341	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic, complemented
342	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
343	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	—
344	C₂²×M₁₆	C₂²×C₁₁	1	2	yes	complemented
345	#537	C₂²×C₁₁	1	4	yes	complemented
346	#536	—	2	1	no	—
347	#536	C₂²×C₁₁	1	2	yes	complemented
348	#535	—	2	2	no	—
349	#535	—	2	2	no	—
350	#535	—	2	1	no	—
351	#535	C₂²×C₁₁	1	4	yes	—
352	#535	C₂²×C₁₁	1	4	yes	complemented
353	#535	C₂²×C₁₁	1	2	yes	complemented
354	#534	—	2	1	no	—
355	#534	—	2	1	no	—
356	#532	—	2	2	no	—
357	C₂×#127	—	2	1	no	—
358	C₂×#124	—	2	1	no	—
359	#525	—	2	2	no	—
360	#525	C₂²×C₁₁	1	2	yes	—
361	#525	C₂²×C₁₁	1	2	yes	complemented
362	C₂×#121	C₂²×C₁₁	1	2	yes	—
363	C₂×#121	C₂²×C₁₁	1	2	yes	complemented
364	C₂×#120	—	2	1	no	—
365	C₂×#120	—	2	1	no	—
366	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
367	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic, complemented
368	#485	C₂²×C₁₁	1	8	yes	complemented
369	#482	C₂²×C₁₁	1	8	yes	complemented
370	#482	C₂²×C₁₁	1	8	yes	complemented
371	#481	C₂²×C₁₁	1	4	yes	complemented
372	#480	C₂²×C₁₁	1	4	yes	complemented
373	#469	C₂²×C₁₁	1	8	yes	complemented
374	#468	C₂²×C₁₁	1	8	yes	complemented
375	#466	C₂²×C₁₁	1	8	yes	complemented
376	#465	C₂²×C₁₁	1	8	yes	complemented
377	#450	C₂²×C₁₁	1	8	yes	complemented
378	#449	C₂²×C₁₁	1	8	yes	complemented
379	#448	C₂²×C₁₁	1	4	yes	complemented
380	#447	C₂²×C₁₁	1	8	yes	complemented
381	#447	C₂²×C₁₁	1	4	yes	complemented
382	#428	C₂²×C₁₁	1	4	yes	complemented
383	#418	C₂²×C₁₁	1	4	yes	complemented
384	#417	C₂²×C₁₁	1	4	yes	complemented
385	#408	C₂²×C₁₁	1	4	yes	complemented
386	#408	C₂²×C₁₁	1	4	yes	complemented
387	#407	C₂²×C₁₁	1	2	yes	complemented
388	#407	C₂²×C₁₁	1	2	yes	complemented
389	C₂²×C₁₁	—	2	2	no	—
390	C₂²×C₁₁	—	2	2	no	—
391	C₂²×C₁₁	—	2	4	no	—
392	C₂²×C₁₁	—	2	2	no	—
393	C₂²×C₁₁	—	2	4	no	—
394	C₂²×C₁₁	—	2	1	no	—
395	C₂²×C₁₁	—	2	1	no	—
396	C₂²×C₁₁	—	2	2	no	—
397	C₂²×C₁₁	—	2	2	no	—
398	C₂²×C₁₁	—	4	4	no	—
399	C₂²×C₁₁	—	4	4	no	—
400	C₂²×C₁₁	—	4	4	no	—
401	C₂²×C₁₁	—	4	4	no	—
402	C₂²×C₁₁	—	4	2	no	—
403	C₂²×C₁₁	—	4	4	no	—
404	C₂²×C₁₁	—	8	2	no	—
405	C₂²×C₁₁	—	8	2	no	—
406	C₂²×C₁₁	—	8	8	no	—
407	C₂²×C₁₁	—	8	4	no	—
408	C₂²×C₁₁	—	8	16	no	—
409	C₂²×C₁₁	#534	1	2	yes	—
410	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
411	C₄×C₁₁	—	2	1	no	—
412	C₄×C₁₁	—	2	2	no	—
413	C₄×C₁₁	—	2	1	no	—
414	C₄×C₁₁	—	2	2	no	—
415	C₄×C₁₁	—	4	4	no	—
416	C₄×C₁₁	—	4	4	no	—
417	C₄×C₁₁	—	4	2	no	—
418	C₄×C₁₁	#534	1	2	yes	—
419	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
420	C₂⁵	—	2	1	no	—
421	C₂×#41	—	2	1	no	—
422	C₂×#41	—	2	1	no	—
423	C₂×#41	—	4	4	no	—
424	C₂×#41	—	4	4	no	—
425	C₂×#41	D₄×C₁₁	1	2	yes	—
426	C₂×#41	D₄×C₁₁	1	2	yes	—
427	C₂×#41	C₂³×C₁₁	1	2	yes	—
428	C₂×#41	C₂³×C₁₁	1	2	yes	—
429	C₂×#41	C₂³×C₁₁	1	2	yes	—
430	C₂×#41	C₂³×C₁₁	1	2	yes	complemented
431	C₂²×Q₈	D₄×C₁₁	1	1	yes	characteristic
432	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic, complemented
433	C₂²×D₄	—	2	1	no	—
434	C₂²×D₄	—	2	2	no	—
435	C₂²×D₄	—	2	2	no	—
436	C₂²×D₄	—	2	1	no	—
437	C₂²×D₄	—	2	2	no	—
438	C₂²×D₄	—	4	4	no	—
439	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
440	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
441	C₂²×D₄	D₄×C₁₁	1	1	yes	characteristic
442	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
443	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
444	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic, complemented
445	C₂³×C₄	—	2	1	no	—
446	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
447	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
448	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
449	AGL(1,ℤ/8)	—	4	8	no	—
450	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	—
451	C₂×D₈	C₂³×C₁₁	1	8	yes	—
452	C₂×M₁₆	—	4	4	no	—
453	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
454	C₂×M₁₆	C₂³×C₁₁	1	4	yes	complemented
455	C₂²×C₈	C₂³×C₁₁	1	4	yes	complemented
456	C₄⋊Q₈	—	2	2	no	—
457	#127	—	2	4	no	—
458	#127	—	2	4	no	—
459	#127	—	2	2	no	—
460	#124	—	2	4	no	—
461	#124	—	2	4	no	—
462	#124	—	2	2	no	—
463	#124	—	2	2	no	—
464	#123	—	2	2	no	—
465	#123	—	2	2	no	—
466	#123	—	2	2	no	—
467	#123	—	2	2	no	—
468	C₂²⋊Q₈	—	2	4	no	—
469	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
470	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	complemented
471	#121	—	2	4	no	—
472	#121	—	2	4	no	—
473	#121	—	2	4	no	—
474	#121	—	2	2	no	—
475	#121	—	2	2	no	—
476	#121	—	2	4	no	—
477	#121	C₂³×C₁₁	1	4	yes	—
478	#121	C₂³×C₁₁	1	4	yes	—
479	#121	C₂³×C₁₁	1	8	yes	—
480	#121	C₂³×C₁₁	1	4	yes	—
481	#121	C₂³×C₁₁	1	4	yes	complemented
482	#120	—	2	2	no	—
483	#120	—	2	2	no	—
484	#120	—	2	4	no	—
485	#120	—	2	4	no	—
486	#120	—	2	4	no	—
487	#120	—	2	4	no	—
488	#120	—	2	2	no	—
489	#120	—	2	2	no	—
490	C₄×D₄	—	2	4	no	—
491	C₄×D₄	—	2	4	no	—
492	#117	—	2	1	no	—
493	#117	—	2	2	no	—
494	#117	—	2	1	no	—
495	#117	C₂³×C₁₁	1	2	yes	—
496	#117	C₂³×C₁₁	1	4	yes	—
497	#117	C₂³×C₁₁	1	2	yes	complemented
498	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
499	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	complemented
500	C₂×C₂²⋊C₄	—	2	1	no	—
501	C₂×C₂²⋊C₄	—	2	1	no	—
502	C₂×C₂²⋊C₄	—	2	2	no	—
503	C₂×C₂²⋊C₄	—	2	2	no	—
504	C₂×C₄²	—	2	1	no	—
505	C₂×C₄²	—	2	1	no	—
506	#107	C₂³×C₁₁	1	8	yes	complemented
507	#106	C₂³×C₁₁	1	8	yes	complemented
508	#103	C₂³×C₁₁	1	8	yes	complemented
509	#102	C₂³×C₁₁	1	8	yes	—
510	#102	C₂³×C₁₁	1	8	yes	—
511	#102	C₂³×C₁₁	1	8	yes	complemented
512	C₂²⋊C₈	C₂³×C₁₁	1	8	yes	—
513	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	complemented
514	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	complemented
515	C₂×C₁₁	—	2	2	no	—
516	C₂×C₁₁	—	4	2	no	—
517	C₂×C₁₁	—	4	1	no	—
518	C₂×C₁₁	—	4	2	no	—
519	C₂×C₁₁	—	4	1	no	—
520	C₂×C₁₁	—	8	2	no	—
521	C₂×C₁₁	—	8	4	no	—
522	C₂×C₁₁	C₂×#534	1	1	yes	characteristic
523	C₂×C₁₁	#3585	1	2	yes	—
524	C₂⁴	—	2	2	no	—
525	C₂⁴	—	2	1	no	—
526	C₂⁴	—	2	4	no	—
527	C₂⁴	—	4	4	no	—
528	C₂⁴	—	8	4	no	—
529	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
530	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
531	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
532	#41	—	2	8	no	—
533	#41	—	4	4	no	—
534	#41	—	4	4	no	—
535	#41	—	4	2	no	—
536	#41	—	4	2	no	—
537	#41	—	4	2	no	—
538	#41	—	4	2	no	—
539	#41	—	4	4	no	—
540	#41	—	4	4	no	—
541	#41	—	4	4	no	—
542	C₂×Q₈	—	2	1	no	—
543	C₂×Q₈	—	4	2	no	—
544	C₂×Q₈	—	4	2	no	—
545	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
546	C₂×Q₈	C₂×D₄×C₁₁	1	2	yes	—
547	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
548	C₂×D₄	—	2	2	no	—
549	C₂×D₄	—	2	2	no	—
550	C₂×D₄	—	2	4	no	—
551	C₂×D₄	—	2	4	no	—
552	C₂×D₄	—	2	4	no	—
553	C₂×D₄	—	2	8	no	—
554	C₂×D₄	—	2	4	no	—
555	C₂×D₄	—	2	2	no	—
556	C₂×D₄	—	2	4	no	—
557	C₂×D₄	—	2	1	no	—
558	C₂×D₄	—	2	8	no	—
559	C₂×D₄	—	4	4	no	—
560	C₂×D₄	—	4	4	no	—
561	C₂×D₄	—	4	2	no	—
562	C₂×D₄	—	4	2	no	—
563	C₂×D₄	—	4	2	no	—
564	C₂×D₄	—	4	2	no	—
565	C₂×D₄	—	4	4	no	—
566	C₂×D₄	—	4	8	no	—
567	C₂×D₄	—	4	4	no	—
568	C₂×D₄	—	8	4	no	—
569	C₂×D₄	—	8	4	no	—
570	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
571	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
572	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
573	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
574	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
575	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
576	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
577	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
578	C₂²×C₄	—	2	4	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	4	no	—
581	C₂²×C₄	—	2	2	no	—
582	C₂²×C₄	—	2	1	no	—
583	C₂²×C₄	—	2	2	no	—
584	C₂²×C₄	—	2	2	no	—
585	C₂²×C₄	—	2	2	no	—
586	C₂²×C₄	—	4	4	no	—
587	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
588	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
589	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
590	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
591	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
592	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
593	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
594	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
595	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
596	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
597	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
598	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
599	SD₁₆	—	4	8	no	—
600	D₈	—	4	8	no	—
601	M₁₆	—	2	8	no	—
602	M₁₆	—	4	4	no	—
603	C₂×C₈	—	4	4	no	—
604	C₂×C₈	C₂⁴×C₁₁	1	8	yes	—
605	C₄⋊C₄	—	2	2	no	—
606	C₄⋊C₄	—	2	2	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	—	2	4	no	—
609	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
610	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
611	C₂²⋊C₄	—	2	4	no	—
612	C₂²⋊C₄	—	2	2	no	—
613	C₂²⋊C₄	—	2	2	no	—
614	C₂²⋊C₄	—	2	4	no	—
615	C₂²⋊C₄	—	2	4	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	8	no	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	—	2	4	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₄²	—	2	2	no	—
622	C₄²	—	2	4	no	—
623	C₄²	—	2	2	no	—
624	C₁₁	#60753	1	1	yes	characteristic, direct product factor, Sylow
625	C₂³	—	2	2	no	—
626	C₂³	—	2	2	no	—
627	C₂³	—	2	2	no	—
628	C₂³	—	2	2	no	—
629	C₂³	—	2	4	no	—
630	C₂³	—	4	2	no	—
631	C₂³	—	4	2	no	—
632	C₂³	—	4	2	no	—
633	C₂³	—	4	2	no	—
634	C₂³	—	4	8	no	—
635	C₂³	—	4	4	no	—
636	C₂³	—	4	4	no	—
637	C₂³	—	4	4	no	—
638	C₂³	—	8	2	no	—
639	C₂³	—	8	8	no	—
640	C₂³	—	8	16	no	—
641	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
642	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
643	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
644	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
645	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
646	Q₈	—	2	4	no	—
647	Q₈	—	4	2	no	—
648	Q₈	—	4	2	no	—
649	Q₈	—	4	2	no	—
650	D₄	—	2	4	no	—
651	D₄	—	2	8	no	—
652	D₄	—	4	2	no	—
653	D₄	—	4	2	no	—
654	D₄	—	4	2	no	—
655	D₄	—	4	2	no	—
656	D₄	—	4	2	no	—
657	D₄	—	4	2	no	—
658	D₄	—	4	8	no	—
659	D₄	—	4	2	no	—
660	D₄	—	4	4	no	—
661	D₄	—	4	4	no	—
662	D₄	—	4	4	no	—
663	D₄	—	8	4	no	—
664	D₄	—	8	4	no	—
665	D₄	—	8	4	no	—
666	D₄	—	8	8	no	—
667	D₄	—	8	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	2	no	—
670	C₂×C₄	—	2	2	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	4	no	—
673	C₂×C₄	—	2	4	no	—
674	C₂×C₄	—	2	2	no	—
675	C₂×C₄	—	2	2	no	—
676	C₂×C₄	—	2	2	no	—
677	C₂×C₄	—	2	2	no	—
678	C₂×C₄	—	2	2	no	—
679	C₂×C₄	—	2	2	no	—
680	C₂×C₄	—	2	2	no	—
681	C₂×C₄	—	2	4	no	—
682	C₂×C₄	—	2	4	no	—
683	C₂×C₄	—	2	2	no	—
684	C₂×C₄	—	4	4	no	—
685	C₂×C₄	—	4	2	no	—
686	C₂×C₄	—	4	4	no	—
687	C₂×C₄	—	4	4	no	—
688	C₂×C₄	—	8	2	no	—
689	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
690	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
691	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
692	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
693	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
694	C₂×C₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
695	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
696	C₈	—	2	8	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	2	1	no	—
699	C₂²	—	2	1	no	—
700	C₂²	—	2	2	no	—
701	C₂²	—	2	2	no	—
702	C₂²	—	2	2	no	—
703	C₂²	—	2	4	no	—
704	C₂²	—	2	2	no	—
705	C₂²	—	2	4	no	—
706	C₂²	—	4	4	no	—
707	C₂²	—	4	2	no	—
708	C₂²	—	4	4	no	—
709	C₂²	—	4	4	no	—
710	C₂²	—	4	4	no	—
711	C₂²	—	4	4	no	—
712	C₂²	—	8	2	no	—
713	C₂²	—	8	2	no	—
714	C₂²	—	8	8	no	—
715	C₂²	—	8	16	no	—
716	C₂²	—	8	4	no	—
717	C₂²	C₁₁×#534	1	2	yes	—
718	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
719	C₄	—	2	1	no	—
720	C₄	—	2	2	no	—
721	C₄	—	2	1	no	—
722	C₄	—	2	2	no	—
723	C₄	—	4	2	no	—
724	C₄	—	4	4	no	—
725	C₄	—	4	4	no	—
726	C₄	C₁₁×#534	1	2	yes	—
727	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
728	C₂	—	2	2	no	—
729	C₂	—	4	2	no	—
730	C₂	—	4	1	no	—
731	C₂	—	4	1	no	—
732	C₂	—	4	2	no	—
733	C₂	—	8	4	no	—
734	C₂	—	8	2	no	—
735	C₂	C₂×C₁₁×#534	1	1	yes	characteristic
736	C₂	C₁₁×#3585	1	2	yes	—

	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 ◁ C₂²×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3449	C₂	semidirect
2. C₂×C₁₁×#535	C₂	semidirect
3. C₁₁×#3200	C₂	semidirect
4. C₁₁×#3199	C₂	semidirect
5. C₁₁×#3198	C₂	semidirect
6. C₁₁×#3094	C₂	semidirect
7. C₁₁×#3093	C₂	semidirect
8. C₁₁×#3055	C₂	semidirect
9. C₁₁×#3006	C₂	semidirect
10. C₁₁×#3003	C₂	semidirect
11. C₁₁×#2879	C₂	semidirect
13. C₂²×C₁₁×#41	C₂²	semidirect
14. C₂³×D₄×C₁₁	C₂²	semidirect
16. C₂²×C₁₁×M₁₆	C₂²	semidirect
17. C₁₁×#537	C₂²	semidirect
19. C₁₁×#536	C₂²	semidirect
24. C₁₁×#535	C₂²	semidirect
25. C₁₁×#535	C₂²	semidirect
33. C₁₁×#525	C₂²	semidirect
35. C₂×C₁₁×#121	C₂²	semidirect
38. C₂×C₁₁×#117	C₂²	semidirect
39. C₂×C₁₁×#117	C₂²	semidirect
40. C₁₁×#485	C₂²	semidirect
41. C₁₁×#482	C₂²	semidirect
42. C₁₁×#482	C₂²	semidirect
43. C₁₁×#481	C₂²	semidirect
44. C₁₁×#480	C₂²	semidirect
45. C₁₁×#469	C₂²	semidirect
46. C₁₁×#468	C₂²	semidirect
47. C₁₁×#466	C₂²	semidirect
48. C₁₁×#465	C₂²	semidirect
49. C₁₁×#450	C₂²	semidirect
50. C₁₁×#449	C₂²	semidirect
51. C₁₁×#448	C₂²	semidirect
52. C₁₁×#447	C₂²	semidirect
53. C₁₁×#447	C₂²	semidirect
54. C₁₁×#428	C₂²	semidirect
55. C₁₁×#418	C₂²	semidirect
56. C₁₁×#417	C₂²	semidirect
57. C₁₁×#408	C₂²	semidirect
58. C₁₁×#408	C₂²	semidirect
59. C₁₁×#407	C₂²	semidirect
60. C₁₁×#407	C₂²	semidirect
71. C₂×C₁₁×#41	C₂³	semidirect
73. C₂²×Q₈×C₁₁	C₂³	semidirect
85. C₂²×D₄×C₁₁	C₂³	semidirect
95. C₂×C₁₁×M₁₆	C₂³	semidirect
96. C₂²×C₈×C₁₁	C₂³	semidirect
111. C₁₁×C₂²⋊Q₈	C₂³	semidirect
122. C₁₁×#121	C₂³	semidirect
138. C₁₁×#117	C₂³	semidirect
140. C₂×C₁₁×C₄⋊C₄	C₂³	semidirect
147. C₁₁×#107	C₂³	semidirect
148. C₁₁×#106	C₂³	semidirect
149. C₁₁×#103	C₂³	semidirect
152. C₁₁×#102	C₂³	semidirect
154. C₁₁×C₂²⋊C₈	C₂³	semidirect
155. C₁₁×C₂²⋊C₈	C₂³	semidirect
156. #60753	C₁₁	direct (N × H)
257. #3449	C₂×C₁₁	semidirect
258. C₂×#535	C₂×C₁₁	semidirect
259. #3200	C₂×C₁₁	semidirect
260. #3199	C₂×C₁₁	semidirect
261. #3198	C₂×C₁₁	semidirect
262. #3094	C₂×C₁₁	semidirect
263. #3093	C₂×C₁₁	semidirect
264. #3055	C₂×C₁₁	semidirect
265. #3006	C₂×C₁₁	semidirect
266. #3003	C₂×C₁₁	semidirect
267. #2879	C₂×C₁₁	semidirect
341. C₂²×#41	C₂²×C₁₁	semidirect
342. C₂³×D₄	C₂²×C₁₁	semidirect
344. C₂²×M₁₆	C₂²×C₁₁	semidirect
345. #537	C₂²×C₁₁	semidirect
347. #536	C₂²×C₁₁	semidirect
352. #535	C₂²×C₁₁	semidirect
353. #535	C₂²×C₁₁	semidirect
361. #525	C₂²×C₁₁	semidirect
363. C₂×#121	C₂²×C₁₁	semidirect
366. C₂×#117	C₂²×C₁₁	semidirect
367. C₂×#117	C₂²×C₁₁	semidirect
368. #485	C₂²×C₁₁	semidirect
369. #482	C₂²×C₁₁	semidirect
370. #482	C₂²×C₁₁	semidirect
371. #481	C₂²×C₁₁	semidirect
372. #480	C₂²×C₁₁	semidirect
373. #469	C₂²×C₁₁	semidirect
374. #468	C₂²×C₁₁	semidirect
375. #466	C₂²×C₁₁	semidirect
376. #465	C₂²×C₁₁	semidirect
377. #450	C₂²×C₁₁	semidirect
378. #449	C₂²×C₁₁	semidirect
379. #448	C₂²×C₁₁	semidirect
380. #447	C₂²×C₁₁	semidirect
381. #447	C₂²×C₁₁	semidirect
382. #428	C₂²×C₁₁	semidirect
383. #418	C₂²×C₁₁	semidirect
384. #417	C₂²×C₁₁	semidirect
385. #408	C₂²×C₁₁	semidirect
386. #408	C₂²×C₁₁	semidirect
387. #407	C₂²×C₁₁	semidirect
388. #407	C₂²×C₁₁	semidirect
430. C₂×#41	C₂³×C₁₁	semidirect
432. C₂²×Q₈	C₂³×C₁₁	semidirect
444. C₂²×D₄	C₂³×C₁₁	semidirect
454. C₂×M₁₆	C₂³×C₁₁	semidirect
455. C₂²×C₈	C₂³×C₁₁	semidirect
470. C₂²⋊Q₈	C₂³×C₁₁	semidirect
481. #121	C₂³×C₁₁	semidirect
497. #117	C₂³×C₁₁	semidirect
499. C₂×C₄⋊C₄	C₂³×C₁₁	semidirect
506. #107	C₂³×C₁₁	semidirect
507. #106	C₂³×C₁₁	semidirect
508. #103	C₂³×C₁₁	semidirect
511. #102	C₂³×C₁₁	semidirect
513. C₂²⋊C₈	C₂³×C₁₁	semidirect
514. C₂²⋊C₈	C₂³×C₁₁	semidirect
624. C₁₁	#60753	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×#3449	2
C₂×C₁₁×#535	2
C₁₁×#3200	2
C₁₁×#3199	2
C₁₁×#3198	2
C₁₁×#3094	2
C₁₁×#3093	2
C₁₁×#3055	2
C₁₁×#3006	2
C₁₁×#3003	2
C₁₁×#2879	2
#60753	11

Subgroups — C11×#60753 #14637946

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60753 #14637946