Subgroups — C₁₁×#61630 #14638823

Order 2816.

2350 conjugacy classes of subgroups.

The subgroup lattice has 784 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3537	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3484	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3318	C₂	1	4	yes	maximal, complemented
4	C₁₁×#3297	C₂	1	4	yes	maximal, complemented
5	D₄×C₁₁×D₈	C₂	1	4	yes	maximal, complemented
6	C₁₁×#3264	C₂	1	4	yes	maximal, complemented
7	C₁₁×#3220	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3199	C₂	1	2	yes	maximal, complemented
9	C₁₁×#3188	C₂	1	2	yes	maximal, complemented
10	C₁₁×#3122	C₂	1	2	yes	maximal, complemented
11	C₁₁×#3008	C₂	1	2	yes	maximal, complemented
12	C₂×C₁₁×#447	C₂	1	2	yes	maximal, complemented
13	C₁₁×#2977	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₁₁×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
15	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic, complemented
16	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	2	yes	complemented
17	C₂²×C₁₁×D₈	C₂²	1	4	yes	complemented
18	C₂²×C₁₁×D₈	C₂²	1	2	yes	complemented
19	C₁₁×#560	—	2	2	no	—
20	C₁₁×#553	C₂²	1	4	yes	complemented
21	C₁₁×#546	—	2	2	no	—
22	C₁₁×#546	C₂²	1	4	yes	complemented
23	D₄²×C₁₁	—	2	2	no	—
24	D₄²×C₁₁	—	2	2	no	—
25	D₄²×C₁₁	C₂²	1	4	yes	complemented
26	D₄²×C₁₁	C₂²	1	4	yes	complemented
27	C₁₁×#540	C₂²	1	2	yes	complemented
28	C₁₁×#538	—	2	2	no	—
29	C₁₁×#535	C₂²	1	1	yes	characteristic, complemented
30	C₁₁×#535	C₂²	1	1	yes	characteristic, complemented
31	C₁₁×#535	C₂²	1	2	yes	complemented
32	C₁₁×#534	—	2	2	no	—
33	C₁₁×#534	—	2	2	no	—
34	C₁₁×#525	C₂²	1	1	yes	characteristic
35	C₁₁×#525	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₁₁×#121	C₂²	1	2	yes	complemented
37	C₂×C₁₁×#120	—	2	2	no	—
38	C₁₁×#518	C₂²	1	1	yes	characteristic, complemented
39	C₁₁×#496	C₂²	1	2	yes	complemented
40	C₁₁×#493	C₂²	1	2	yes	complemented
41	C₁₁×#490	C₂²	1	2	yes	complemented
42	C₁₁×#488	C₂²	1	2	yes	complemented
43	C₁₁×#484	C₂²	1	2	yes	complemented
44	C₁₁×#482	C₂²	1	4	yes	complemented
45	C₁₁×#482	C₂²	1	4	yes	complemented
46	C₁₁×#481	C₂²	1	2	yes	complemented
47	C₁₁×#478	C₂²	1	4	yes	complemented
48	C₁₁×#469	C₂²	1	4	yes	complemented
49	C₁₁×#466	C₂²	1	4	yes	complemented
50	C₁₁×#466	C₂²	1	4	yes	complemented
51	C₁₁×#465	C₂²	1	4	yes	complemented
52	C₁₁×#463	C₂²	1	4	yes	complemented
53	C₁₁×#459	C₂²	1	4	yes	complemented
54	C₁₁×#459	C₂²	1	4	yes	complemented
55	C₁₁×#450	C₂²	1	2	yes	complemented
56	C₁₁×#449	C₂²	1	4	yes	complemented
57	C₁₁×#449	C₂²	1	4	yes	complemented
58	C₁₁×#447	C₂²	1	4	yes	complemented
59	C₁₁×#447	C₂²	1	4	yes	complemented
60	C₁₁×#447	C₂²	1	4	yes	complemented
61	C₁₁×#447	C₂²	1	4	yes	complemented
62	C₁₁×#447	C₂²	1	2	yes	complemented
63	C₁₁×#447	C₂²	1	4	yes	complemented
64	C₁₁×#447	C₂²	1	4	yes	complemented
65	C₁₁×#442	C₂²	1	4	yes	complemented
66	C₄×C₁₁×D₈	C₂²	1	4	yes	complemented
67	C₁₁×#435	C₂²	1	4	yes	complemented
68	C₈×D₄×C₁₁	C₂²	1	4	yes	complemented
69	C₁₁×#433	C₂²	1	2	yes	complemented
70	C₁₁×#418	C₂²	1	2	yes	complemented
71	C₁₁×#416	C₂²	1	2	yes	complemented
72	C₂×C₁₁×#102	C₂²	1	4	yes	complemented
73	C₁₁×#408	C₂²	1	2	yes	complemented
74	C₂×C₁₁×C₂²⋊C₈	C₂²	1	2	yes	complemented
75	C₂⁵×C₁₁	—	2	1	no	—
76	C₁₁×H(5,𝔽₂)	—	4	4	no	—
77	C₂×C₁₁×#41	—	2	1	no	—
78	C₂×C₁₁×#41	C₂³	1	2	yes	—
79	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
80	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
81	C₂²×D₄×C₁₁	—	2	2	no	—
82	C₂²×D₄×C₁₁	—	2	2	no	—
83	C₂²×D₄×C₁₁	—	2	1	no	—
84	C₂²×D₄×C₁₁	—	2	4	no	—
85	C₂²×D₄×C₁₁	—	2	4	no	—
86	C₂²×D₄×C₁₁	—	2	1	no	—
87	C₂²×D₄×C₁₁	—	2	2	no	—
88	C₂²×D₄×C₁₁	—	4	4	no	—
89	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
90	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
91	C₂²×D₄×C₁₁	C₂³	1	4	yes	—
92	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
93	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
94	C₂²×D₄×C₁₁	C₂³	1	2	yes	complemented
95	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
96	C₁₁×AGL(1,ℤ/8)	—	4	4	no	—
97	C₂×C₁₁×SD₁₆	C₂³	1	4	yes	complemented
98	C₂×C₁₁×D₈	—	4	8	no	—
99	C₂×C₁₁×D₈	—	4	4	no	—
100	C₂×C₁₁×D₈	C₂³	1	4	yes	—
101	C₂×C₁₁×D₈	C₂³	1	4	yes	—
102	C₂×C₁₁×D₈	C₂³	1	4	yes	—
103	C₂×C₁₁×D₈	C₂³	1	4	yes	—
104	C₂×C₁₁×D₈	C₂³	1	4	yes	complemented
105	C₂×C₁₁×M₁₆	C₂³	1	2	yes	complemented
106	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
107	C₂²×C₈×C₁₁	C₂³	1	2	yes	complemented
108	C₁₁×#127	—	2	1	no	—
109	C₁₁×#127	—	2	2	no	—
110	C₁₁×#127	C₂³	1	2	yes	—
111	C₁₁×#127	C₂³	1	2	yes	complemented
112	C₁₁×#126	—	2	4	no	—
113	C₁₁×#125	C₂³	1	2	yes	complemented
114	C₁₁×#124	—	2	2	no	—
115	C₁₁×#124	—	2	1	no	—
116	C₁₁×#124	C₂³	1	2	yes	—
117	C₁₁×#123	—	2	1	no	—
118	C₁₁×#123	—	2	4	no	—
119	C₁₁×#123	—	2	4	no	—
120	C₁₁×#123	—	2	4	no	—
121	C₁₁×#123	D₄	1	2	yes	—
122	C₁₁×C₂²⋊Q₈	D₄	1	2	yes	—
123	C₁₁×C₂²⋊Q₈	C₂³	1	2	yes	—
124	C₁₁×#121	—	2	4	no	—
125	C₁₁×#121	—	2	2	no	—
126	C₁₁×#121	—	2	2	no	—
127	C₁₁×#121	—	2	4	no	—
128	C₁₁×#121	—	2	2	no	—
129	C₁₁×#121	—	2	4	no	—
130	C₁₁×#121	—	2	4	no	—
131	C₁₁×#121	—	2	4	no	—
132	C₁₁×#121	D₄	1	2	yes	—
133	C₁₁×#121	C₂³	1	4	yes	—
134	C₁₁×#121	C₂³	1	4	yes	—
135	C₁₁×#121	C₂³	1	2	yes	—
136	C₁₁×#121	C₂³	1	4	yes	—
137	C₁₁×#121	C₂³	1	4	yes	complemented
138	C₁₁×#120	—	2	1	no	—
139	C₁₁×#120	—	2	2	no	—
140	C₁₁×#120	—	2	4	no	—
141	C₁₁×#120	—	2	2	no	—
142	C₁₁×#120	—	2	2	no	—
143	C₁₁×#120	—	2	2	no	—
144	C₁₁×#120	—	2	4	no	—
145	C₁₁×#120	—	2	4	no	—
146	C₁₁×#120	—	2	4	no	—
147	C₁₁×#120	—	2	4	no	—
148	C₁₁×#120	D₄	1	2	yes	—
149	C₄×D₄×C₁₁	—	2	2	no	—
150	C₄×D₄×C₁₁	—	2	2	no	—
151	C₄×D₄×C₁₁	—	2	4	no	—
152	C₄×D₄×C₁₁	C₂³	1	4	yes	—
153	C₄×D₄×C₁₁	C₂³	1	4	yes	—
154	C₄×D₄×C₁₁	C₂³	1	4	yes	complemented
155	C₁₁×#117	C₂³	1	1	yes	characteristic
156	C₁₁×#117	C₂³	1	1	yes	characteristic
157	C₁₁×#117	C₂³	1	2	yes	complemented
158	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
159	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
160	C₂×C₁₁×C₂²⋊C₄	—	2	2	no	—
161	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
162	C₁₁×#107	C₂³	1	4	yes	complemented
163	C₁₁×#106	C₂³	1	4	yes	complemented
164	C₁₁×C₄⋊C₈	C₂³	1	4	yes	complemented
165	C₁₁×#103	C₂³	1	4	yes	complemented
166	C₁₁×#102	C₂³	1	4	yes	—
167	C₁₁×#102	C₂³	1	4	yes	—
168	C₁₁×#102	C₂³	1	4	yes	—
169	C₁₁×#102	C₂³	1	4	yes	—
170	C₁₁×#102	C₂³	1	4	yes	complemented
171	C₁₁×#102	C₂³	1	4	yes	complemented
172	C₁₁×#102	C₂³	1	4	yes	complemented
173	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	—
174	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
175	C₁₁×C₂²⋊C₈	C₂³	1	2	yes	—
176	C₁₁×C₂²⋊C₈	C₂³	1	4	yes	complemented
177	C₁₁×#97	C₂³	1	2	yes	complemented
178	C₄×C₈×C₁₁	C₂³	1	2	yes	complemented
179	#61630	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
180	C₂⁴×C₁₁	—	2	1	no	—
181	C₂⁴×C₁₁	—	2	4	no	—
182	C₂⁴×C₁₁	—	2	2	no	—
183	C₂⁴×C₁₁	—	2	1	no	—
184	C₂⁴×C₁₁	—	2	2	no	—
185	C₂⁴×C₁₁	—	2	2	no	—
186	C₂⁴×C₁₁	—	4	4	no	—
187	C₂⁴×C₁₁	—	8	4	no	—
188	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
189	C₁₁×#41	—	2	4	no	—
190	C₁₁×#41	—	4	2	no	—
191	C₁₁×#41	—	4	2	no	—
192	C₁₁×#41	—	4	2	no	—
193	C₁₁×#41	—	4	4	no	—
194	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
195	C₂×Q₈×C₁₁	C₂⁴	1	1	yes	characteristic
196	C₂×D₄×C₁₁	—	2	4	no	—
197	C₂×D₄×C₁₁	—	2	8	no	—
198	C₂×D₄×C₁₁	—	2	4	no	—
199	C₂×D₄×C₁₁	—	2	2	no	—
200	C₂×D₄×C₁₁	—	2	4	no	—
201	C₂×D₄×C₁₁	—	2	1	no	—
202	C₂×D₄×C₁₁	—	2	2	no	—
203	C₂×D₄×C₁₁	—	2	4	no	—
204	C₂×D₄×C₁₁	—	2	4	no	—
205	C₂×D₄×C₁₁	—	2	4	no	—
206	C₂×D₄×C₁₁	—	2	1	no	—
207	C₂×D₄×C₁₁	—	2	2	no	—
208	C₂×D₄×C₁₁	—	2	4	no	—
209	C₂×D₄×C₁₁	—	2	1	no	—
210	C₂×D₄×C₁₁	—	2	4	no	—
211	C₂×D₄×C₁₁	—	2	2	no	—
212	C₂×D₄×C₁₁	—	2	4	no	—
213	C₂×D₄×C₁₁	—	2	2	no	—
214	C₂×D₄×C₁₁	—	4	4	no	—
215	C₂×D₄×C₁₁	—	4	2	no	—
216	C₂×D₄×C₁₁	—	4	2	no	—
217	C₂×D₄×C₁₁	—	4	4	no	—
218	C₂×D₄×C₁₁	—	4	2	no	—
219	C₂×D₄×C₁₁	—	4	2	no	—
220	C₂×D₄×C₁₁	—	4	8	no	—
221	C₂×D₄×C₁₁	—	4	4	no	—
222	C₂×D₄×C₁₁	—	4	4	no	—
223	C₂×D₄×C₁₁	—	4	8	no	—
224	C₂×D₄×C₁₁	—	8	8	no	—
225	C₂×D₄×C₁₁	—	8	8	no	—
226	C₂×D₄×C₁₁	—	8	4	no	—
227	C₂×D₄×C₁₁	C₂×D₄	1	4	yes	—
228	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
229	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
230	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
231	C₂×D₄×C₁₁	C₂⁴	1	1	yes	characteristic
232	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
233	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
234	C₂²×C₄×C₁₁	—	2	2	no	—
235	C₂²×C₄×C₁₁	—	2	2	no	—
236	C₂²×C₄×C₁₁	—	2	1	no	—
237	C₂²×C₄×C₁₁	—	2	4	no	—
238	C₂²×C₄×C₁₁	—	2	4	no	—
239	C₂²×C₄×C₁₁	—	4	2	no	—
240	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
241	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
242	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
243	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
244	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
245	C₁₁×SD₁₆	—	4	4	no	—
246	C₁₁×D₈	—	2	8	no	—
247	C₁₁×D₈	—	2	8	no	—
248	C₁₁×D₈	—	4	4	no	—
249	C₁₁×D₈	—	4	4	no	—
250	C₁₁×D₈	—	4	4	no	—
251	C₁₁×M₁₆	—	4	2	no	—
252	C₂×C₈×C₁₁	—	4	4	no	—
253	C₂×C₈×C₁₁	—	4	2	no	—
254	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
255	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
256	C₁₁×C₄⋊C₄	—	2	2	no	—
257	C₁₁×C₄⋊C₄	—	2	2	no	—
258	C₁₁×C₄⋊C₄	—	2	4	no	—
259	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
260	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
261	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
262	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
263	C₁₁×C₂²⋊C₄	—	2	1	no	—
264	C₁₁×C₂²⋊C₄	—	2	2	no	—
265	C₁₁×C₂²⋊C₄	—	2	2	no	—
266	C₁₁×C₂²⋊C₄	—	2	4	no	—
267	C₁₁×C₂²⋊C₄	—	2	4	no	—
268	C₁₁×C₂²⋊C₄	—	2	4	no	—
269	C₁₁×C₂²⋊C₄	—	2	4	no	—
270	C₁₁×C₂²⋊C₄	—	2	4	no	—
271	C₁₁×C₂²⋊C₄	—	2	2	no	—
272	C₁₁×C₂²⋊C₄	—	2	4	no	—
273	C₁₁×C₂²⋊C₄	—	2	4	no	—
274	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
275	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
276	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
277	C₄²×C₁₁	—	2	1	no	—
278	C₄²×C₁₁	—	2	2	no	—
279	C₄²×C₁₁	C₂⁴	1	2	yes	—
280	#3537	C₂×C₁₁	1	1	yes	characteristic, complemented
281	#3484	C₂×C₁₁	1	1	yes	characteristic, complemented
282	#3318	C₂×C₁₁	1	4	yes	complemented
283	#3297	C₂×C₁₁	1	4	yes	complemented
284	D₄×D₈	C₂×C₁₁	1	4	yes	complemented
285	#3264	C₂×C₁₁	1	4	yes	complemented
286	#3220	C₂×C₁₁	1	2	yes	complemented
287	#3199	C₂×C₁₁	1	2	yes	complemented
288	#3188	C₂×C₁₁	1	2	yes	complemented
289	#3122	C₂×C₁₁	1	2	yes	complemented
290	#3008	C₂×C₁₁	1	2	yes	complemented
291	C₂×#447	C₂×C₁₁	1	2	yes	complemented
292	#2977	C₂×C₁₁	1	1	yes	characteristic, complemented
293	C₂³×C₁₁	—	2	4	no	—
294	C₂³×C₁₁	—	2	4	no	—
295	C₂³×C₁₁	—	2	2	no	—
296	C₂³×C₁₁	—	2	4	no	—
297	C₂³×C₁₁	—	2	2	no	—
298	C₂³×C₁₁	—	2	1	no	—
299	C₂³×C₁₁	—	4	1	no	—
300	C₂³×C₁₁	—	4	8	no	—
301	C₂³×C₁₁	—	4	4	no	—
302	C₂³×C₁₁	—	4	2	no	—
303	C₂³×C₁₁	—	4	8	no	—
304	C₂³×C₁₁	—	4	4	no	—
305	C₂³×C₁₁	—	8	4	no	—
306	C₂³×C₁₁	—	8	2	no	—
307	C₂³×C₁₁	—	8	2	no	—
308	C₂³×C₁₁	—	8	2	no	—
309	C₂³×C₁₁	—	8	2	no	—
310	C₂³×C₁₁	—	8	2	no	—
311	C₂³×C₁₁	—	8	4	no	—
312	C₂³×C₁₁	—	8	4	no	—
313	C₂³×C₁₁	—	8	16	no	—
314	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
315	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
316	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
317	Q₈×C₁₁	—	2	2	no	—
318	Q₈×C₁₁	—	4	1	no	—
319	D₄×C₁₁	—	2	4	no	—
320	D₄×C₁₁	—	2	8	no	—
321	D₄×C₁₁	—	2	2	no	—
322	D₄×C₁₁	—	2	4	no	—
323	D₄×C₁₁	—	2	4	no	—
324	D₄×C₁₁	—	2	4	no	—
325	D₄×C₁₁	—	2	2	no	—
326	D₄×C₁₁	—	4	1	no	—
327	D₄×C₁₁	—	4	2	no	—
328	D₄×C₁₁	—	4	8	no	—
329	D₄×C₁₁	—	4	4	no	—
330	D₄×C₁₁	—	4	2	no	—
331	D₄×C₁₁	—	4	4	no	—
332	D₄×C₁₁	—	4	2	no	—
333	D₄×C₁₁	—	4	4	no	—
334	D₄×C₁₁	—	4	8	no	—
335	D₄×C₁₁	—	8	2	no	—
336	D₄×C₁₁	—	8	2	no	—
337	D₄×C₁₁	—	8	4	no	—
338	D₄×C₁₁	—	8	4	no	—
339	D₄×C₁₁	—	8	4	no	—
340	D₄×C₁₁	—	8	4	no	—
341	D₄×C₁₁	—	8	4	no	—
342	D₄×C₁₁	H(5,𝔽₂)	1	4	yes	—
343	C₂×C₄×C₁₁	—	2	4	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	4	no	—
349	C₂×C₄×C₁₁	—	2	1	no	—
350	C₂×C₄×C₁₁	—	4	2	no	—
351	C₂×C₄×C₁₁	—	4	1	no	—
352	C₂×C₄×C₁₁	—	4	4	no	—
353	C₂×C₄×C₁₁	—	4	2	no	—
354	C₂×C₄×C₁₁	—	8	4	no	—
355	C₂×C₄×C₁₁	—	8	4	no	—
356	C₂×C₄×C₁₁	—	8	2	no	—
357	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
358	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
359	C₂×C₄×C₁₁	C₂²×D₄	1	4	yes	—
360	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
361	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
362	C₈×C₁₁	—	2	4	no	—
363	C₈×C₁₁	—	2	4	no	—
364	C₂×H(5,𝔽₂)	C₂²×C₁₁	1	1	yes	characteristic, complemented
365	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic, complemented
366	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	2	yes	complemented
367	C₂²×D₈	C₂²×C₁₁	1	4	yes	complemented
368	C₂²×D₈	C₂²×C₁₁	1	2	yes	complemented
369	#560	—	2	2	no	—
370	#553	C₂²×C₁₁	1	4	yes	complemented
371	#546	—	2	2	no	—
372	#546	C₂²×C₁₁	1	4	yes	complemented
373	D₄²	—	2	2	no	—
374	D₄²	—	2	2	no	—
375	D₄²	C₂²×C₁₁	1	4	yes	complemented
376	D₄²	C₂²×C₁₁	1	4	yes	complemented
377	#540	C₂²×C₁₁	1	2	yes	complemented
378	#538	—	2	2	no	—
379	#535	C₂²×C₁₁	1	1	yes	characteristic, complemented
380	#535	C₂²×C₁₁	1	1	yes	characteristic, complemented
381	#535	C₂²×C₁₁	1	2	yes	complemented
382	#534	—	2	2	no	—
383	#534	—	2	2	no	—
384	#525	C₂²×C₁₁	1	1	yes	characteristic
385	#525	C₂²×C₁₁	1	1	yes	characteristic, complemented
386	C₂×#121	C₂²×C₁₁	1	2	yes	complemented
387	C₂×#120	—	2	2	no	—
388	#518	C₂²×C₁₁	1	1	yes	characteristic, complemented
389	#496	C₂²×C₁₁	1	2	yes	complemented
390	#493	C₂²×C₁₁	1	2	yes	complemented
391	#490	C₂²×C₁₁	1	2	yes	complemented
392	#488	C₂²×C₁₁	1	2	yes	complemented
393	#484	C₂²×C₁₁	1	2	yes	complemented
394	#482	C₂²×C₁₁	1	4	yes	complemented
395	#482	C₂²×C₁₁	1	4	yes	complemented
396	#481	C₂²×C₁₁	1	2	yes	complemented
397	#478	C₂²×C₁₁	1	4	yes	complemented
398	#469	C₂²×C₁₁	1	4	yes	complemented
399	#466	C₂²×C₁₁	1	4	yes	complemented
400	#466	C₂²×C₁₁	1	4	yes	complemented
401	#465	C₂²×C₁₁	1	4	yes	complemented
402	#463	C₂²×C₁₁	1	4	yes	complemented
403	#459	C₂²×C₁₁	1	4	yes	complemented
404	#459	C₂²×C₁₁	1	4	yes	complemented
405	#450	C₂²×C₁₁	1	2	yes	complemented
406	#449	C₂²×C₁₁	1	4	yes	complemented
407	#449	C₂²×C₁₁	1	4	yes	complemented
408	#447	C₂²×C₁₁	1	4	yes	complemented
409	#447	C₂²×C₁₁	1	4	yes	complemented
410	#447	C₂²×C₁₁	1	4	yes	complemented
411	#447	C₂²×C₁₁	1	4	yes	complemented
412	#447	C₂²×C₁₁	1	2	yes	complemented
413	#447	C₂²×C₁₁	1	4	yes	complemented
414	#447	C₂²×C₁₁	1	4	yes	complemented
415	#442	C₂²×C₁₁	1	4	yes	complemented
416	C₄×D₈	C₂²×C₁₁	1	4	yes	complemented
417	#435	C₂²×C₁₁	1	4	yes	complemented
418	C₈×D₄	C₂²×C₁₁	1	4	yes	complemented
419	#433	C₂²×C₁₁	1	2	yes	complemented
420	#418	C₂²×C₁₁	1	2	yes	complemented
421	#416	C₂²×C₁₁	1	2	yes	complemented
422	C₂×#102	C₂²×C₁₁	1	4	yes	complemented
423	#408	C₂²×C₁₁	1	2	yes	complemented
424	C₂×C₂²⋊C₈	C₂²×C₁₁	1	2	yes	complemented
425	C₂²×C₁₁	—	2	2	no	—
426	C₂²×C₁₁	—	2	2	no	—
427	C₂²×C₁₁	—	2	1	no	—
428	C₂²×C₁₁	—	2	2	no	—
429	C₂²×C₁₁	—	2	4	no	—
430	C₂²×C₁₁	—	2	4	no	—
431	C₂²×C₁₁	—	2	2	no	—
432	C₂²×C₁₁	—	4	4	no	—
433	C₂²×C₁₁	—	4	4	no	—
434	C₂²×C₁₁	—	4	1	no	—
435	C₂²×C₁₁	—	4	2	no	—
436	C₂²×C₁₁	—	4	4	no	—
437	C₂²×C₁₁	—	4	4	no	—
438	C₂²×C₁₁	—	4	2	no	—
439	C₂²×C₁₁	—	4	4	no	—
440	C₂²×C₁₁	—	4	4	no	—
441	C₂²×C₁₁	—	8	16	no	—
442	C₂²×C₁₁	—	8	4	no	—
443	C₂²×C₁₁	—	8	4	no	—
444	C₂²×C₁₁	—	16	4	no	—
445	C₂²×C₁₁	—	16	4	no	—
446	C₂²×C₁₁	—	16	4	no	—
447	C₂²×C₁₁	#576	1	4	yes	—
448	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
449	C₄×C₁₁	—	2	1	no	—
450	C₄×C₁₁	—	2	2	no	—
451	C₄×C₁₁	—	2	2	no	—
452	C₄×C₁₁	—	2	4	no	—
453	C₄×C₁₁	—	4	1	no	—
454	C₄×C₁₁	—	4	2	no	—
455	C₄×C₁₁	—	4	4	no	—
456	C₄×C₁₁	C₂×H(5,𝔽₂)	1	2	yes	—
457	C₂⁵	—	2	1	no	—
458	H(5,𝔽₂)	—	4	4	no	—
459	C₂×#41	—	2	1	no	—
460	C₂×#41	C₂³×C₁₁	1	2	yes	—
461	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
462	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
463	C₂²×D₄	—	2	2	no	—
464	C₂²×D₄	—	2	2	no	—
465	C₂²×D₄	—	2	1	no	—
466	C₂²×D₄	—	2	4	no	—
467	C₂²×D₄	—	2	4	no	—
468	C₂²×D₄	—	2	1	no	—
469	C₂²×D₄	—	2	2	no	—
470	C₂²×D₄	—	4	4	no	—
471	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
472	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
473	C₂²×D₄	C₂³×C₁₁	1	4	yes	—
474	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
475	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
476	C₂²×D₄	C₂³×C₁₁	1	2	yes	complemented
477	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
478	AGL(1,ℤ/8)	—	4	4	no	—
479	C₂×SD₁₆	C₂³×C₁₁	1	4	yes	complemented
480	C₂×D₈	—	4	8	no	—
481	C₂×D₈	—	4	4	no	—
482	C₂×D₈	C₂³×C₁₁	1	4	yes	—
483	C₂×D₈	C₂³×C₁₁	1	4	yes	—
484	C₂×D₈	C₂³×C₁₁	1	4	yes	—
485	C₂×D₈	C₂³×C₁₁	1	4	yes	—
486	C₂×D₈	C₂³×C₁₁	1	4	yes	complemented
487	C₂×M₁₆	C₂³×C₁₁	1	2	yes	complemented
488	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
489	C₂²×C₈	C₂³×C₁₁	1	2	yes	complemented
490	#127	—	2	1	no	—
491	#127	—	2	2	no	—
492	#127	C₂³×C₁₁	1	2	yes	—
493	#127	C₂³×C₁₁	1	2	yes	complemented
494	#126	—	2	4	no	—
495	#125	C₂³×C₁₁	1	2	yes	complemented
496	#124	—	2	2	no	—
497	#124	—	2	1	no	—
498	#124	C₂³×C₁₁	1	2	yes	—
499	#123	—	2	1	no	—
500	#123	—	2	4	no	—
501	#123	—	2	4	no	—
502	#123	—	2	4	no	—
503	#123	D₄×C₁₁	1	2	yes	—
504	C₂²⋊Q₈	D₄×C₁₁	1	2	yes	—
505	C₂²⋊Q₈	C₂³×C₁₁	1	2	yes	—
506	#121	—	2	4	no	—
507	#121	—	2	2	no	—
508	#121	—	2	2	no	—
509	#121	—	2	4	no	—
510	#121	—	2	2	no	—
511	#121	—	2	4	no	—
512	#121	—	2	4	no	—
513	#121	—	2	4	no	—
514	#121	D₄×C₁₁	1	2	yes	—
515	#121	C₂³×C₁₁	1	4	yes	—
516	#121	C₂³×C₁₁	1	4	yes	—
517	#121	C₂³×C₁₁	1	2	yes	—
518	#121	C₂³×C₁₁	1	4	yes	—
519	#121	C₂³×C₁₁	1	4	yes	complemented
520	#120	—	2	1	no	—
521	#120	—	2	2	no	—
522	#120	—	2	4	no	—
523	#120	—	2	2	no	—
524	#120	—	2	2	no	—
525	#120	—	2	2	no	—
526	#120	—	2	4	no	—
527	#120	—	2	4	no	—
528	#120	—	2	4	no	—
529	#120	—	2	4	no	—
530	#120	D₄×C₁₁	1	2	yes	—
531	C₄×D₄	—	2	2	no	—
532	C₄×D₄	—	2	2	no	—
533	C₄×D₄	—	2	4	no	—
534	C₄×D₄	C₂³×C₁₁	1	4	yes	—
535	C₄×D₄	C₂³×C₁₁	1	4	yes	—
536	C₄×D₄	C₂³×C₁₁	1	4	yes	complemented
537	#117	C₂³×C₁₁	1	1	yes	characteristic
538	#117	C₂³×C₁₁	1	1	yes	characteristic
539	#117	C₂³×C₁₁	1	2	yes	complemented
540	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
541	C₂×C₂²⋊C₄	—	2	2	no	—
542	C₂×C₂²⋊C₄	—	2	2	no	—
543	C₂×C₂²⋊C₄	—	2	4	no	—
544	#107	C₂³×C₁₁	1	4	yes	complemented
545	#106	C₂³×C₁₁	1	4	yes	complemented
546	C₄⋊C₈	C₂³×C₁₁	1	4	yes	complemented
547	#103	C₂³×C₁₁	1	4	yes	complemented
548	#102	C₂³×C₁₁	1	4	yes	—
549	#102	C₂³×C₁₁	1	4	yes	—
550	#102	C₂³×C₁₁	1	4	yes	—
551	#102	C₂³×C₁₁	1	4	yes	—
552	#102	C₂³×C₁₁	1	4	yes	complemented
553	#102	C₂³×C₁₁	1	4	yes	complemented
554	#102	C₂³×C₁₁	1	4	yes	complemented
555	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	—
556	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
557	C₂²⋊C₈	C₂³×C₁₁	1	2	yes	—
558	C₂²⋊C₈	C₂³×C₁₁	1	4	yes	complemented
559	#97	C₂³×C₁₁	1	2	yes	complemented
560	C₄×C₈	C₂³×C₁₁	1	2	yes	complemented
561	C₂×C₁₁	—	2	4	no	—
562	C₂×C₁₁	—	4	1	no	—
563	C₂×C₁₁	—	4	2	no	—
564	C₂×C₁₁	—	4	4	no	—
565	C₂×C₁₁	—	8	2	no	—
566	C₂×C₁₁	—	8	1	no	—
567	C₂×C₁₁	—	8	4	no	—
568	C₂×C₁₁	#3484	1	1	yes	characteristic
569	C₂×C₁₁	C₂×#576	1	2	yes	—
570	C₂⁴	—	2	1	no	—
571	C₂⁴	—	2	4	no	—
572	C₂⁴	—	2	2	no	—
573	C₂⁴	—	2	1	no	—
574	C₂⁴	—	2	2	no	—
575	C₂⁴	—	2	2	no	—
576	C₂⁴	—	4	4	no	—
577	C₂⁴	—	8	4	no	—
578	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
579	#41	—	2	4	no	—
580	#41	—	4	2	no	—
581	#41	—	4	2	no	—
582	#41	—	4	2	no	—
583	#41	—	4	4	no	—
584	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
585	C₂×Q₈	C₂⁴×C₁₁	1	1	yes	characteristic
586	C₂×D₄	—	2	4	no	—
587	C₂×D₄	—	2	8	no	—
588	C₂×D₄	—	2	4	no	—
589	C₂×D₄	—	2	2	no	—
590	C₂×D₄	—	2	4	no	—
591	C₂×D₄	—	2	1	no	—
592	C₂×D₄	—	2	2	no	—
593	C₂×D₄	—	2	4	no	—
594	C₂×D₄	—	2	4	no	—
595	C₂×D₄	—	2	4	no	—
596	C₂×D₄	—	2	1	no	—
597	C₂×D₄	—	2	2	no	—
598	C₂×D₄	—	2	4	no	—
599	C₂×D₄	—	2	1	no	—
600	C₂×D₄	—	2	4	no	—
601	C₂×D₄	—	2	2	no	—
602	C₂×D₄	—	2	4	no	—
603	C₂×D₄	—	2	2	no	—
604	C₂×D₄	—	4	4	no	—
605	C₂×D₄	—	4	2	no	—
606	C₂×D₄	—	4	2	no	—
607	C₂×D₄	—	4	4	no	—
608	C₂×D₄	—	4	2	no	—
609	C₂×D₄	—	4	2	no	—
610	C₂×D₄	—	4	8	no	—
611	C₂×D₄	—	4	4	no	—
612	C₂×D₄	—	4	4	no	—
613	C₂×D₄	—	4	8	no	—
614	C₂×D₄	—	8	8	no	—
615	C₂×D₄	—	8	8	no	—
616	C₂×D₄	—	8	4	no	—
617	C₂×D₄	C₂×D₄×C₁₁	1	4	yes	—
618	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
619	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
620	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
621	C₂×D₄	C₂⁴×C₁₁	1	1	yes	characteristic
622	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
623	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
624	C₂²×C₄	—	2	2	no	—
625	C₂²×C₄	—	2	2	no	—
626	C₂²×C₄	—	2	1	no	—
627	C₂²×C₄	—	2	4	no	—
628	C₂²×C₄	—	2	4	no	—
629	C₂²×C₄	—	4	2	no	—
630	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
631	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
632	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
633	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
634	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
635	SD₁₆	—	4	4	no	—
636	D₈	—	2	8	no	—
637	D₈	—	2	8	no	—
638	D₈	—	4	4	no	—
639	D₈	—	4	4	no	—
640	D₈	—	4	4	no	—
641	M₁₆	—	4	2	no	—
642	C₂×C₈	—	4	4	no	—
643	C₂×C₈	—	4	2	no	—
644	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
645	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
646	C₄⋊C₄	—	2	2	no	—
647	C₄⋊C₄	—	2	2	no	—
648	C₄⋊C₄	—	2	4	no	—
649	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
650	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
651	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
652	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
653	C₂²⋊C₄	—	2	1	no	—
654	C₂²⋊C₄	—	2	2	no	—
655	C₂²⋊C₄	—	2	2	no	—
656	C₂²⋊C₄	—	2	4	no	—
657	C₂²⋊C₄	—	2	4	no	—
658	C₂²⋊C₄	—	2	4	no	—
659	C₂²⋊C₄	—	2	4	no	—
660	C₂²⋊C₄	—	2	4	no	—
661	C₂²⋊C₄	—	2	2	no	—
662	C₂²⋊C₄	—	2	4	no	—
663	C₂²⋊C₄	—	2	4	no	—
664	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
665	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
666	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
667	C₄²	—	2	1	no	—
668	C₄²	—	2	2	no	—
669	C₄²	C₂⁴×C₁₁	1	2	yes	—
670	C₁₁	#61630	1	1	yes	characteristic, direct product factor, Sylow
671	C₂³	—	2	4	no	—
672	C₂³	—	2	4	no	—
673	C₂³	—	2	2	no	—
674	C₂³	—	2	4	no	—
675	C₂³	—	2	2	no	—
676	C₂³	—	2	1	no	—
677	C₂³	—	4	1	no	—
678	C₂³	—	4	8	no	—
679	C₂³	—	4	4	no	—
680	C₂³	—	4	2	no	—
681	C₂³	—	4	8	no	—
682	C₂³	—	4	4	no	—
683	C₂³	—	8	4	no	—
684	C₂³	—	8	2	no	—
685	C₂³	—	8	2	no	—
686	C₂³	—	8	2	no	—
687	C₂³	—	8	2	no	—
688	C₂³	—	8	2	no	—
689	C₂³	—	8	4	no	—
690	C₂³	—	8	4	no	—
691	C₂³	—	8	16	no	—
692	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
693	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
694	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
695	Q₈	—	2	2	no	—
696	Q₈	—	4	1	no	—
697	D₄	—	2	4	no	—
698	D₄	—	2	8	no	—
699	D₄	—	2	2	no	—
700	D₄	—	2	4	no	—
701	D₄	—	2	4	no	—
702	D₄	—	2	4	no	—
703	D₄	—	2	2	no	—
704	D₄	—	4	1	no	—
705	D₄	—	4	2	no	—
706	D₄	—	4	8	no	—
707	D₄	—	4	4	no	—
708	D₄	—	4	2	no	—
709	D₄	—	4	4	no	—
710	D₄	—	4	2	no	—
711	D₄	—	4	4	no	—
712	D₄	—	4	8	no	—
713	D₄	—	8	2	no	—
714	D₄	—	8	2	no	—
715	D₄	—	8	4	no	—
716	D₄	—	8	4	no	—
717	D₄	—	8	4	no	—
718	D₄	—	8	4	no	—
719	D₄	—	8	4	no	—
720	D₄	C₁₁×H(5,𝔽₂)	1	4	yes	—
721	C₂×C₄	—	2	4	no	—
722	C₂×C₄	—	2	2	no	—
723	C₂×C₄	—	2	2	no	—
724	C₂×C₄	—	2	2	no	—
725	C₂×C₄	—	2	2	no	—
726	C₂×C₄	—	2	4	no	—
727	C₂×C₄	—	2	1	no	—
728	C₂×C₄	—	4	2	no	—
729	C₂×C₄	—	4	1	no	—
730	C₂×C₄	—	4	4	no	—
731	C₂×C₄	—	4	2	no	—
732	C₂×C₄	—	8	4	no	—
733	C₂×C₄	—	8	4	no	—
734	C₂×C₄	—	8	2	no	—
735	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
736	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
737	C₂×C₄	C₂²×D₄×C₁₁	1	4	yes	—
738	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
739	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
740	C₈	—	2	4	no	—
741	C₈	—	2	4	no	—
742	C₂²	—	2	2	no	—
743	C₂²	—	2	2	no	—
744	C₂²	—	2	1	no	—
745	C₂²	—	2	2	no	—
746	C₂²	—	2	4	no	—
747	C₂²	—	2	4	no	—
748	C₂²	—	2	2	no	—
749	C₂²	—	4	4	no	—
750	C₂²	—	4	4	no	—
751	C₂²	—	4	1	no	—
752	C₂²	—	4	2	no	—
753	C₂²	—	4	4	no	—
754	C₂²	—	4	4	no	—
755	C₂²	—	4	2	no	—
756	C₂²	—	4	4	no	—
757	C₂²	—	4	4	no	—
758	C₂²	—	8	16	no	—
759	C₂²	—	8	4	no	—
760	C₂²	—	8	4	no	—
761	C₂²	—	16	4	no	—
762	C₂²	—	16	4	no	—
763	C₂²	—	16	4	no	—
764	C₂²	C₁₁×#576	1	4	yes	—
765	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
766	C₄	—	2	1	no	—
767	C₄	—	2	2	no	—
768	C₄	—	2	2	no	—
769	C₄	—	2	4	no	—
770	C₄	—	4	1	no	—
771	C₄	—	4	2	no	—
772	C₄	—	4	4	no	—
773	C₄	C₂×C₁₁×H(5,𝔽₂)	1	2	yes	—
774	C₂	—	2	4	no	—
775	C₂	—	4	1	no	—
776	C₂	—	4	2	no	—
777	C₂	—	4	4	no	—
778	C₂	—	8	2	no	—
779	C₂	—	8	1	no	—
780	C₂	—	8	4	no	—
781	C₂	C₁₁×#3484	1	1	yes	characteristic
782	C₂	C₂×C₁₁×#576	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 ◁ C₁₁×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3537	C₂	semidirect
2. C₁₁×#3484	C₂	semidirect
3. C₁₁×#3318	C₂	semidirect
4. C₁₁×#3297	C₂	semidirect
5. D₄×C₁₁×D₈	C₂	semidirect
6. C₁₁×#3264	C₂	semidirect
7. C₁₁×#3220	C₂	semidirect
8. C₁₁×#3199	C₂	semidirect
9. C₁₁×#3188	C₂	semidirect
10. C₁₁×#3122	C₂	semidirect
11. C₁₁×#3008	C₂	semidirect
12. C₂×C₁₁×#447	C₂	semidirect
13. C₁₁×#2977	C₂	semidirect
14. C₂×C₁₁×H(5,𝔽₂)	C₂²	semidirect
15. C₂³×D₄×C₁₁	C₂²	semidirect
16. C₂×C₁₁×AGL(1,ℤ/8)	C₂²	semidirect
17. C₂²×C₁₁×D₈	C₂²	semidirect
18. C₂²×C₁₁×D₈	C₂²	semidirect
20. C₁₁×#553	C₂²	semidirect
22. C₁₁×#546	C₂²	semidirect
25. D₄²×C₁₁	C₂²	semidirect
26. D₄²×C₁₁	C₂²	semidirect
27. C₁₁×#540	C₂²	semidirect
29. C₁₁×#535	C₂²	semidirect
30. C₁₁×#535	C₂²	semidirect
31. C₁₁×#535	C₂²	semidirect
35. C₁₁×#525	C₂²	semidirect
36. C₂×C₁₁×#121	C₂²	semidirect
38. C₁₁×#518	C₂²	semidirect
39. C₁₁×#496	C₂²	semidirect
40. C₁₁×#493	C₂²	semidirect
41. C₁₁×#490	C₂²	semidirect
42. C₁₁×#488	C₂²	semidirect
43. C₁₁×#484	C₂²	semidirect
44. C₁₁×#482	C₂²	semidirect
45. C₁₁×#482	C₂²	semidirect
46. C₁₁×#481	C₂²	semidirect
47. C₁₁×#478	C₂²	semidirect
48. C₁₁×#469	C₂²	semidirect
49. C₁₁×#466	C₂²	semidirect
50. C₁₁×#466	C₂²	semidirect
51. C₁₁×#465	C₂²	semidirect
52. C₁₁×#463	C₂²	semidirect
53. C₁₁×#459	C₂²	semidirect
54. C₁₁×#459	C₂²	semidirect
55. C₁₁×#450	C₂²	semidirect
56. C₁₁×#449	C₂²	semidirect
57. C₁₁×#449	C₂²	semidirect
58. C₁₁×#447	C₂²	semidirect
59. C₁₁×#447	C₂²	semidirect
60. C₁₁×#447	C₂²	semidirect
61. C₁₁×#447	C₂²	semidirect
62. C₁₁×#447	C₂²	semidirect
63. C₁₁×#447	C₂²	semidirect
64. C₁₁×#447	C₂²	semidirect
65. C₁₁×#442	C₂²	semidirect
66. C₄×C₁₁×D₈	C₂²	semidirect
67. C₁₁×#435	C₂²	semidirect
68. C₈×D₄×C₁₁	C₂²	semidirect
69. C₁₁×#433	C₂²	semidirect
70. C₁₁×#418	C₂²	semidirect
71. C₁₁×#416	C₂²	semidirect
72. C₂×C₁₁×#102	C₂²	semidirect
73. C₁₁×#408	C₂²	semidirect
74. C₂×C₁₁×C₂²⋊C₈	C₂²	semidirect
94. C₂²×D₄×C₁₁	C₂³	semidirect
97. C₂×C₁₁×SD₁₆	C₂³	semidirect
104. C₂×C₁₁×D₈	C₂³	semidirect
105. C₂×C₁₁×M₁₆	C₂³	semidirect
107. C₂²×C₈×C₁₁	C₂³	semidirect
111. C₁₁×#127	C₂³	semidirect
113. C₁₁×#125	C₂³	semidirect
137. C₁₁×#121	C₂³	semidirect
154. C₄×D₄×C₁₁	C₂³	semidirect
157. C₁₁×#117	C₂³	semidirect
162. C₁₁×#107	C₂³	semidirect
163. C₁₁×#106	C₂³	semidirect
164. C₁₁×C₄⋊C₈	C₂³	semidirect
165. C₁₁×#103	C₂³	semidirect
170. C₁₁×#102	C₂³	semidirect
171. C₁₁×#102	C₂³	semidirect
172. C₁₁×#102	C₂³	semidirect
176. C₁₁×C₂²⋊C₈	C₂³	semidirect
177. C₁₁×#97	C₂³	semidirect
178. C₄×C₈×C₁₁	C₂³	semidirect
179. #61630	C₁₁	direct (N × H)
280. #3537	C₂×C₁₁	semidirect
281. #3484	C₂×C₁₁	semidirect
282. #3318	C₂×C₁₁	semidirect
283. #3297	C₂×C₁₁	semidirect
284. D₄×D₈	C₂×C₁₁	semidirect
285. #3264	C₂×C₁₁	semidirect
286. #3220	C₂×C₁₁	semidirect
287. #3199	C₂×C₁₁	semidirect
288. #3188	C₂×C₁₁	semidirect
289. #3122	C₂×C₁₁	semidirect
290. #3008	C₂×C₁₁	semidirect
291. C₂×#447	C₂×C₁₁	semidirect
292. #2977	C₂×C₁₁	semidirect
364. C₂×H(5,𝔽₂)	C₂²×C₁₁	semidirect
365. C₂³×D₄	C₂²×C₁₁	semidirect
366. C₂×AGL(1,ℤ/8)	C₂²×C₁₁	semidirect
367. C₂²×D₈	C₂²×C₁₁	semidirect
368. C₂²×D₈	C₂²×C₁₁	semidirect
370. #553	C₂²×C₁₁	semidirect
372. #546	C₂²×C₁₁	semidirect
375. D₄²	C₂²×C₁₁	semidirect
376. D₄²	C₂²×C₁₁	semidirect
377. #540	C₂²×C₁₁	semidirect
379. #535	C₂²×C₁₁	semidirect
380. #535	C₂²×C₁₁	semidirect
381. #535	C₂²×C₁₁	semidirect
385. #525	C₂²×C₁₁	semidirect
386. C₂×#121	C₂²×C₁₁	semidirect
388. #518	C₂²×C₁₁	semidirect
389. #496	C₂²×C₁₁	semidirect
390. #493	C₂²×C₁₁	semidirect
391. #490	C₂²×C₁₁	semidirect
392. #488	C₂²×C₁₁	semidirect
393. #484	C₂²×C₁₁	semidirect
394. #482	C₂²×C₁₁	semidirect
395. #482	C₂²×C₁₁	semidirect
396. #481	C₂²×C₁₁	semidirect
397. #478	C₂²×C₁₁	semidirect
398. #469	C₂²×C₁₁	semidirect
399. #466	C₂²×C₁₁	semidirect
400. #466	C₂²×C₁₁	semidirect
401. #465	C₂²×C₁₁	semidirect
402. #463	C₂²×C₁₁	semidirect
403. #459	C₂²×C₁₁	semidirect
404. #459	C₂²×C₁₁	semidirect
405. #450	C₂²×C₁₁	semidirect
406. #449	C₂²×C₁₁	semidirect
407. #449	C₂²×C₁₁	semidirect
408. #447	C₂²×C₁₁	semidirect
409. #447	C₂²×C₁₁	semidirect
410. #447	C₂²×C₁₁	semidirect
411. #447	C₂²×C₁₁	semidirect
412. #447	C₂²×C₁₁	semidirect
413. #447	C₂²×C₁₁	semidirect
414. #447	C₂²×C₁₁	semidirect
415. #442	C₂²×C₁₁	semidirect
416. C₄×D₈	C₂²×C₁₁	semidirect
417. #435	C₂²×C₁₁	semidirect
418. C₈×D₄	C₂²×C₁₁	semidirect
419. #433	C₂²×C₁₁	semidirect
420. #418	C₂²×C₁₁	semidirect
421. #416	C₂²×C₁₁	semidirect
422. C₂×#102	C₂²×C₁₁	semidirect
423. #408	C₂²×C₁₁	semidirect
424. C₂×C₂²⋊C₈	C₂²×C₁₁	semidirect
476. C₂²×D₄	C₂³×C₁₁	semidirect
479. C₂×SD₁₆	C₂³×C₁₁	semidirect
486. C₂×D₈	C₂³×C₁₁	semidirect
487. C₂×M₁₆	C₂³×C₁₁	semidirect
489. C₂²×C₈	C₂³×C₁₁	semidirect
493. #127	C₂³×C₁₁	semidirect
495. #125	C₂³×C₁₁	semidirect
519. #121	C₂³×C₁₁	semidirect
536. C₄×D₄	C₂³×C₁₁	semidirect
539. #117	C₂³×C₁₁	semidirect
544. #107	C₂³×C₁₁	semidirect
545. #106	C₂³×C₁₁	semidirect
546. C₄⋊C₈	C₂³×C₁₁	semidirect
547. #103	C₂³×C₁₁	semidirect
552. #102	C₂³×C₁₁	semidirect
553. #102	C₂³×C₁₁	semidirect
554. #102	C₂³×C₁₁	semidirect
558. C₂²⋊C₈	C₂³×C₁₁	semidirect
559. #97	C₂³×C₁₁	semidirect
560. C₄×C₈	C₂³×C₁₁	semidirect
670. C₁₁	#61630	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×#3537	2
C₁₁×#3484	2
C₁₁×#3318	2
C₁₁×#3297	2
D₄×C₁₁×D₈	2
C₁₁×#3264	2
C₁₁×#3220	2
C₁₁×#3199	2
C₁₁×#3188	2
C₁₁×#3122	2
C₁₁×#3008	2
C₂×C₁₁×#447	2
C₁₁×#2977	2
#61630	11

Subgroups — C11×#61630 #14638823

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#61630 #14638823