Subgroups — C₁₁×#60722 #14637915

Order 2816.

2006 conjugacy classes of subgroups.

The subgroup lattice has 728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₁×#3511	C₂	1	1	yes	maximal, characteristic, complemented
2	C₁₁×#3508	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₁×#3184	C₂	1	2	yes	maximal, complemented
4	C₁₁×#3182	C₂	1	2	yes	maximal, complemented
5	C₁₁×#3179	C₂	1	8	yes	maximal, complemented
6	C₁₁×#3169	C₂	1	2	yes	maximal, complemented
7	C₁₁×#3167	C₂	1	2	yes	maximal, complemented
8	C₁₁×#3165	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#3151	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₁×#3131	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×C₁₁×#486	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₁×#3062	C₂	1	4	yes	maximal, complemented
13	C₁₁×#2946	C₂	1	4	yes	maximal, complemented
14	C₄×C₁₁×#131	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	4	yes	—
16	C₂×C₁₁×#131	C₂²	1	2	yes	—
17	C₁₁×#559	—	2	1	no	—
18	C₁₁×#559	—	2	1	no	—
19	C₁₁×#556	—	2	1	no	—
20	C₁₁×#555	—	2	1	no	—
21	C₁₁×#554	—	2	1	no	—
22	C₁₁×#553	—	2	2	no	—
23	C₁₁×#550	—	2	1	no	—
24	C₁₁×#550	—	2	1	no	—
25	C₁₁×#548	—	2	2	no	—
26	C₁₁×#547	—	2	1	no	—
27	C₁₁×#546	—	2	2	no	—
28	C₁₁×#546	—	2	2	no	—
29	C₁₁×#542	C₂²	1	4	yes	complemented
30	C₁₁×#540	C₂²	1	4	yes	—
31	C₁₁×#537	C₂²	1	2	yes	—
32	C₁₁×#535	C₂²	1	2	yes	—
33	C₁₁×#533	C₂²	1	1	yes	characteristic
34	C₁₁×#533	C₂²	1	2	yes	complemented
35	C₁₁×#532	C₂²	1	1	yes	characteristic
36	C₁₁×#532	C₂²	1	2	yes	—
37	C₁₁×#532	C₂²	1	2	yes	—
38	C₁₁×#532	C₂²	1	2	yes	complemented
39	C₂×C₁₁×C₄⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₁×#127	C₂²	1	1	yes	characteristic
41	C₁₁×#520	C₂²	1	2	yes	—
42	C₁₁×#518	C₂²	1	2	yes	—
43	C₄×C₁₁×#41	C₂²	1	1	yes	characteristic
44	C₁₁×#501	C₂²	1	4	yes	complemented
45	C₁₁×#500	C₂²	1	2	yes	complemented
46	C₁₁×#498	C₂²	1	2	yes	complemented
47	C₁₁×#496	C₂²	1	4	yes	—
48	C₁₁×#493	C₂²	1	2	yes	—
49	C₁₁×#492	C₂²	1	2	yes	—
50	C₁₁×#488	C₂²	1	4	yes	complemented
51	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
52	C₁₁×#487	C₂²	1	1	yes	characteristic, complemented
53	C₁₁×#486	C₂²	1	2	yes	—
54	C₁₁×#486	C₂²	1	4	yes	—
55	C₁₁×#486	C₂²	1	2	yes	—
56	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
57	C₁₁×#486	C₂²	1	1	yes	characteristic, complemented
58	C₁₁×#469	C₂²	1	8	yes	complemented
59	C₁₁×#468	C₂²	1	8	yes	complemented
60	C₁₁×#466	C₂²	1	8	yes	complemented
61	C₁₁×#465	C₂²	1	8	yes	complemented
62	C₁₁×#442	C₂²	1	8	yes	complemented
63	C₁₁×#440	C₂²	1	8	yes	complemented
64	C₄×C₁₁×SD₁₆	C₂²	1	8	yes	complemented
65	C₄×C₁₁×D₈	C₂²	1	8	yes	complemented
66	C₁₁×#428	C₂²	1	4	yes	—
67	C₁₁×#416	C₂²	1	4	yes	—
68	C₂×C₁₁×#102	C₂²	1	4	yes	—
69	C₁₁×#405	C₂²	1	2	yes	—
70	C₁₁×#405	C₂²	1	4	yes	complemented
71	C₄×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
72	C₄×C₁₁×M₁₆	C₂²	1	2	yes	complemented
73	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
74	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	complemented
75	C₂×C₁₁×#41	—	2	2	no	—
76	C₂×C₁₁×#41	—	2	2	no	—
77	C₂×C₁₁×#41	—	2	2	no	—
78	C₂×C₁₁×#41	C₂³	1	2	yes	—
79	C₂×C₁₁×#41	C₂³	1	1	yes	characteristic
80	C₂²×Q₈×C₁₁	—	2	1	no	—
81	C₂²×D₄×C₁₁	—	2	1	no	—
82	C₂²×D₄×C₁₁	—	2	1	no	—
83	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
84	C₁₁×AGL(1,ℤ/8)	—	2	16	no	—
85	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	—
86	C₂×C₁₁×D₈	C₂³	1	8	yes	—
87	C₁₁×#131	—	2	8	no	—
88	C₂×C₁₁×M₁₆	C₂³	1	4	yes	—
89	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
90	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
91	C₂²×C₈×C₁₁	C₂³	1	4	yes	—
92	C₁₁×C₄⋊Q₈	—	2	1	no	—
93	C₁₁×C₄⋊Q₈	—	2	1	no	—
94	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
95	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
96	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
97	C₁₁×C₄⋊Q₈	C₂³	1	1	yes	characteristic
98	C₁₁×C₄⋊Q₈	C₂³	1	2	yes	—
99	C₁₁×#127	—	2	2	no	—
100	C₁₁×#127	—	2	1	no	—
101	C₁₁×#127	—	2	1	no	—
102	C₁₁×#127	C₂³	1	2	yes	—
103	C₁₁×#127	C₂³	1	1	yes	characteristic
104	C₁₁×#127	C₂³	1	2	yes	—
105	C₁₁×#126	—	2	4	no	—
106	C₁₁×#125	—	2	2	no	—
107	C₁₁×#125	C₂³	1	2	yes	—
108	C₁₁×#124	—	2	2	no	—
109	C₁₁×#124	—	2	4	no	—
110	C₁₁×#124	—	2	2	no	—
111	C₁₁×#124	—	2	2	no	—
112	C₁₁×#124	—	2	2	no	—
113	C₁₁×#124	C₂³	1	2	yes	—
114	C₁₁×#123	—	2	4	no	—
115	C₁₁×#123	—	2	4	no	—
116	C₁₁×#123	—	2	4	no	—
117	C₁₁×C₂²⋊Q₈	—	2	2	no	—
118	C₁₁×C₂²⋊Q₈	—	2	1	no	—
119	C₁₁×C₂²⋊Q₈	—	2	1	no	—
120	C₁₁×C₂²⋊Q₈	—	2	2	no	—
121	C₁₁×C₂²⋊Q₈	—	2	4	no	—
122	C₁₁×C₂²⋊Q₈	C₂³	1	4	yes	—
123	C₁₁×#121	—	2	2	no	—
124	C₁₁×#121	—	2	4	no	—
125	C₁₁×#121	—	2	2	no	—
126	C₁₁×#121	—	2	2	no	—
127	C₁₁×#121	—	2	1	no	—
128	C₁₁×#121	—	2	1	no	—
129	C₁₁×#121	—	2	2	no	—
130	C₁₁×#121	—	2	4	no	—
131	C₁₁×#121	—	2	4	no	—
132	C₁₁×#121	C₂³	1	4	yes	—
133	C₁₁×#121	C₂³	1	4	yes	—
134	C₁₁×#121	C₂³	1	4	yes	—
135	C₁₁×#120	—	2	4	no	—
136	C₄×Q₈×C₁₁	—	2	1	no	—
137	C₄×Q₈×C₁₁	—	2	1	no	—
138	C₄×Q₈×C₁₁	—	2	2	no	—
139	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
140	C₄×Q₈×C₁₁	D₄	1	1	yes	characteristic
141	C₄×Q₈×C₁₁	C₂³	1	4	yes	—
142	C₄×D₄×C₁₁	—	2	2	no	—
143	C₄×D₄×C₁₁	—	2	2	no	—
144	C₄×D₄×C₁₁	—	2	4	no	—
145	C₄×D₄×C₁₁	—	2	2	no	—
146	C₄×D₄×C₁₁	—	2	2	no	—
147	C₄×D₄×C₁₁	—	2	1	no	—
148	C₄×D₄×C₁₁	—	2	1	no	—
149	C₄×D₄×C₁₁	—	2	2	no	—
150	C₄×D₄×C₁₁	D₄	1	2	yes	—
151	C₄×D₄×C₁₁	D₄	1	2	yes	—
152	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
153	C₄×D₄×C₁₁	D₄	1	1	yes	characteristic
154	C₄×D₄×C₁₁	C₂³	1	4	yes	—
155	C₄×D₄×C₁₁	C₂³	1	4	yes	—
156	C₄×D₄×C₁₁	C₂³	1	4	yes	—
157	C₁₁×#117	—	2	2	no	—
158	C₁₁×#117	—	2	2	no	—
159	C₁₁×#117	C₂³	1	2	yes	—
160	C₁₁×#117	C₂³	1	1	yes	characteristic
161	C₁₁×#117	C₂³	1	2	yes	—
162	C₂×C₁₁×C₄⋊C₄	—	2	1	no	—
163	C₂×C₁₁×C₄⋊C₄	—	2	2	no	—
164	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
165	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
166	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
167	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
168	C₁₁×#107	C₂³	1	8	yes	—
169	C₁₁×#106	C₂³	1	8	yes	—
170	C₁₁×#103	C₂³	1	4	yes	—
171	C₁₁×#103	C₂³	1	4	yes	—
172	C₁₁×#102	C₂³	1	8	yes	—
173	C₁₁×#102	C₂³	1	8	yes	—
174	C₁₁×#102	C₂³	1	4	yes	—
175	C₁₁×#102	C₂³	1	4	yes	—
176	C₁₁×#97	C₂³	1	2	yes	—
177	C₁₁×#97	C₂³	1	4	yes	—
178	C₄×C₈×C₁₁	C₂³	1	2	yes	—
179	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
180	C₄×C₈×C₁₁	C₂³	1	1	yes	characteristic
181	C₄×C₈×C₁₁	C₂³	1	2	yes	—
182	C₄×C₈×C₁₁	C₂³	1	4	yes	—
183	#60722	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
184	C₂⁴×C₁₁	—	2	2	no	—
185	C₁₁×#41	—	2	4	no	—
186	C₁₁×#41	—	2	8	no	—
187	C₁₁×#41	—	8	4	no	—
188	C₁₁×#41	—	8	4	no	—
189	C₁₁×#41	—	8	4	no	—
190	C₂×Q₈×C₁₁	—	2	1	no	—
191	C₂×Q₈×C₁₁	—	2	1	no	—
192	C₂×Q₈×C₁₁	—	2	2	no	—
193	C₂×Q₈×C₁₁	—	2	2	no	—
194	C₂×Q₈×C₁₁	—	8	2	no	—
195	C₂×Q₈×C₁₁	C₂×D₄	1	1	yes	characteristic
196	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
197	C₂×D₄×C₁₁	—	2	2	no	—
198	C₂×D₄×C₁₁	—	2	4	no	—
199	C₂×D₄×C₁₁	—	2	4	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	1	no	—
204	C₂×D₄×C₁₁	—	2	2	no	—
205	C₂×D₄×C₁₁	—	2	2	no	—
206	C₂×D₄×C₁₁	—	2	2	no	—
207	C₂×D₄×C₁₁	—	2	2	no	—
208	C₂×D₄×C₁₁	—	2	8	no	—
209	C₂×D₄×C₁₁	—	8	2	no	—
210	C₂×D₄×C₁₁	—	8	2	no	—
211	C₂×D₄×C₁₁	C₂×D₄	1	2	yes	—
212	C₂×D₄×C₁₁	C₂×D₄	1	1	yes	characteristic
213	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
214	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
215	C₂²×C₄×C₁₁	—	2	2	no	—
216	C₂²×C₄×C₁₁	—	2	2	no	—
217	C₂²×C₄×C₁₁	—	2	4	no	—
218	C₂²×C₄×C₁₁	—	2	4	no	—
219	C₂²×C₄×C₁₁	—	2	4	no	—
220	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
221	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
222	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
223	C₂²×C₄×C₁₁	C₂×D₄	1	2	yes	—
224	C₂²×C₄×C₁₁	C₂⁴	1	2	yes	—
225	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
226	C₁₁×SD₁₆	—	2	16	no	—
227	C₁₁×D₈	—	2	16	no	—
228	C₁₁×M₁₆	—	2	8	no	—
229	C₁₁×M₁₆	#41	1	8	yes	complemented
230	C₂×C₈×C₁₁	—	2	8	no	—
231	C₂×C₈×C₁₁	—	2	4	no	—
232	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
233	C₂×C₈×C₁₁	C₂⁴	1	2	yes	—
234	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
235	C₁₁×C₄⋊C₄	—	2	2	no	—
236	C₁₁×C₄⋊C₄	—	2	2	no	—
237	C₁₁×C₄⋊C₄	—	2	4	no	—
238	C₁₁×C₄⋊C₄	—	2	2	no	—
239	C₁₁×C₄⋊C₄	—	2	1	no	—
240	C₁₁×C₄⋊C₄	—	2	1	no	—
241	C₁₁×C₄⋊C₄	—	2	1	no	—
242	C₁₁×C₄⋊C₄	—	2	1	no	—
243	C₁₁×C₄⋊C₄	—	2	2	no	—
244	C₁₁×C₄⋊C₄	—	2	2	no	—
245	C₁₁×C₄⋊C₄	—	2	4	no	—
246	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
247	C₁₁×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
248	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
249	C₁₁×C₄⋊C₄	C₂×D₄	1	2	yes	—
250	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
251	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
252	C₁₁×C₄⋊C₄	C₂⁴	1	2	yes	—
253	C₁₁×C₂²⋊C₄	—	2	2	no	—
254	C₁₁×C₂²⋊C₄	—	2	4	no	—
255	C₁₁×C₂²⋊C₄	—	2	4	no	—
256	C₁₁×C₂²⋊C₄	—	2	4	no	—
257	C₁₁×C₂²⋊C₄	—	2	4	no	—
258	C₁₁×C₂²⋊C₄	—	2	4	no	—
259	C₁₁×C₂²⋊C₄	—	2	4	no	—
260	C₁₁×C₂²⋊C₄	—	2	4	no	—
261	C₁₁×C₂²⋊C₄	—	2	2	no	—
262	C₁₁×C₂²⋊C₄	—	2	2	no	—
263	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
264	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
265	C₁₁×C₂²⋊C₄	C₂×D₄	1	2	yes	—
266	C₄²×C₁₁	—	2	4	no	—
267	C₄²×C₁₁	—	2	2	no	—
268	C₄²×C₁₁	C₂×D₄	1	2	yes	—
269	C₄²×C₁₁	C₂×D₄	1	2	yes	—
270	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
271	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
272	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
273	C₄²×C₁₁	C₂⁴	1	2	yes	—
274	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
275	#3511	C₂×C₁₁	1	1	yes	characteristic, complemented
276	#3508	C₂×C₁₁	1	1	yes	characteristic, complemented
277	#3184	C₂×C₁₁	1	2	yes	complemented
278	#3182	C₂×C₁₁	1	2	yes	complemented
279	#3179	C₂×C₁₁	1	8	yes	complemented
280	#3169	C₂×C₁₁	1	2	yes	complemented
281	#3167	C₂×C₁₁	1	2	yes	complemented
282	#3165	C₂×C₁₁	1	1	yes	characteristic, complemented
283	#3151	C₂×C₁₁	1	1	yes	characteristic, complemented
284	#3131	C₂×C₁₁	1	1	yes	characteristic, complemented
285	C₂×#486	C₂×C₁₁	1	1	yes	characteristic, complemented
286	#3062	C₂×C₁₁	1	4	yes	complemented
287	#2946	C₂×C₁₁	1	4	yes	complemented
288	C₄×#131	C₂×C₁₁	1	1	yes	characteristic, complemented
289	C₂³×C₁₁	—	2	2	no	—
290	C₂³×C₁₁	—	2	4	no	—
291	C₂³×C₁₁	—	4	4	no	—
292	C₂³×C₁₁	—	8	2	no	—
293	C₂³×C₁₁	—	8	2	no	—
294	C₂³×C₁₁	C₂²×D₄	1	2	yes	—
295	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
296	Q₈×C₁₁	—	2	2	no	—
297	Q₈×C₁₁	—	2	4	no	—
298	Q₈×C₁₁	—	4	4	no	—
299	Q₈×C₁₁	—	4	2	no	—
300	Q₈×C₁₁	—	4	2	no	—
301	Q₈×C₁₁	—	8	2	no	—
302	D₄×C₁₁	—	2	4	no	—
303	D₄×C₁₁	—	2	2	no	—
304	D₄×C₁₁	—	2	4	no	—
305	D₄×C₁₁	—	2	8	no	—
306	D₄×C₁₁	—	4	4	no	—
307	D₄×C₁₁	—	4	4	no	—
308	D₄×C₁₁	—	4	4	no	—
309	D₄×C₁₁	—	4	2	no	—
310	D₄×C₁₁	—	4	2	no	—
311	D₄×C₁₁	—	4	4	no	—
312	D₄×C₁₁	—	8	2	no	—
313	D₄×C₁₁	—	8	2	no	—
314	D₄×C₁₁	—	8	4	no	—
315	D₄×C₁₁	—	8	4	no	—
316	D₄×C₁₁	—	8	4	no	—
317	C₂×C₄×C₁₁	—	2	2	no	—
318	C₂×C₄×C₁₁	—	2	4	no	—
319	C₂×C₄×C₁₁	—	2	2	no	—
320	C₂×C₄×C₁₁	—	2	4	no	—
321	C₂×C₄×C₁₁	—	2	4	no	—
322	C₂×C₄×C₁₁	—	2	2	no	—
323	C₂×C₄×C₁₁	—	2	2	no	—
324	C₂×C₄×C₁₁	—	2	2	no	—
325	C₂×C₄×C₁₁	—	2	4	no	—
326	C₂×C₄×C₁₁	—	4	4	no	—
327	C₂×C₄×C₁₁	—	8	4	no	—
328	C₂×C₄×C₁₁	—	8	4	no	—
329	C₂×C₄×C₁₁	—	8	4	no	—
330	C₂×C₄×C₁₁	—	8	2	no	—
331	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
332	C₂×C₄×C₁₁	C₂²×D₄	1	2	yes	—
333	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
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	C₂²×D₄	1	1	yes	characteristic
338	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
339	C₂×C₄×C₁₁	C₂×#41	1	4	yes	—
340	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
341	C₈×C₁₁	—	2	2	no	—
342	C₈×C₁₁	—	2	2	no	—
343	C₈×C₁₁	C₂×#41	1	8	yes	—
344	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	—
345	C₂×#131	C₂²×C₁₁	1	2	yes	—
346	#559	—	2	1	no	—
347	#559	—	2	1	no	—
348	#556	—	2	1	no	—
349	#555	—	2	1	no	—
350	#554	—	2	1	no	—
351	#553	—	2	2	no	—
352	#550	—	2	1	no	—
353	#550	—	2	1	no	—
354	#548	—	2	2	no	—
355	#547	—	2	1	no	—
356	#546	—	2	2	no	—
357	#546	—	2	2	no	—
358	#542	C₂²×C₁₁	1	4	yes	complemented
359	#540	C₂²×C₁₁	1	4	yes	—
360	#537	C₂²×C₁₁	1	2	yes	—
361	#535	C₂²×C₁₁	1	2	yes	—
362	#533	C₂²×C₁₁	1	1	yes	characteristic
363	#533	C₂²×C₁₁	1	2	yes	complemented
364	#532	C₂²×C₁₁	1	1	yes	characteristic
365	#532	C₂²×C₁₁	1	2	yes	—
366	#532	C₂²×C₁₁	1	2	yes	—
367	#532	C₂²×C₁₁	1	2	yes	complemented
368	C₂×C₄⋊Q₈	C₂²×C₁₁	1	1	yes	characteristic
369	C₂×#127	C₂²×C₁₁	1	1	yes	characteristic
370	#520	C₂²×C₁₁	1	2	yes	—
371	#518	C₂²×C₁₁	1	2	yes	—
372	C₄×#41	C₂²×C₁₁	1	1	yes	characteristic
373	#501	C₂²×C₁₁	1	4	yes	complemented
374	#500	C₂²×C₁₁	1	2	yes	complemented
375	#498	C₂²×C₁₁	1	2	yes	complemented
376	#496	C₂²×C₁₁	1	4	yes	—
377	#493	C₂²×C₁₁	1	2	yes	—
378	#492	C₂²×C₁₁	1	2	yes	—
379	#488	C₂²×C₁₁	1	4	yes	complemented
380	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
381	#487	C₂²×C₁₁	1	1	yes	characteristic, complemented
382	#486	C₂²×C₁₁	1	2	yes	—
383	#486	C₂²×C₁₁	1	4	yes	—
384	#486	C₂²×C₁₁	1	2	yes	—
385	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
386	#486	C₂²×C₁₁	1	1	yes	characteristic, complemented
387	#469	C₂²×C₁₁	1	8	yes	complemented
388	#468	C₂²×C₁₁	1	8	yes	complemented
389	#466	C₂²×C₁₁	1	8	yes	complemented
390	#465	C₂²×C₁₁	1	8	yes	complemented
391	#442	C₂²×C₁₁	1	8	yes	complemented
392	#440	C₂²×C₁₁	1	8	yes	complemented
393	C₄×SD₁₆	C₂²×C₁₁	1	8	yes	complemented
394	C₄×D₈	C₂²×C₁₁	1	8	yes	complemented
395	#428	C₂²×C₁₁	1	4	yes	—
396	#416	C₂²×C₁₁	1	4	yes	—
397	C₂×#102	C₂²×C₁₁	1	4	yes	—
398	#405	C₂²×C₁₁	1	2	yes	—
399	#405	C₂²×C₁₁	1	4	yes	complemented
400	C₄×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
401	C₄×M₁₆	C₂²×C₁₁	1	2	yes	complemented
402	C₂×C₄×C₈	C₂²×C₁₁	1	1	yes	characteristic
403	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	complemented
404	C₂²×C₁₁	—	2	1	no	—
405	C₂²×C₁₁	—	2	1	no	—
406	C₂²×C₁₁	—	2	2	no	—
407	C₂²×C₁₁	—	2	2	no	—
408	C₂²×C₁₁	—	2	2	no	—
409	C₂²×C₁₁	—	4	2	no	—
410	C₂²×C₁₁	—	4	4	no	—
411	C₂²×C₁₁	—	4	2	no	—
412	C₂²×C₁₁	—	4	4	no	—
413	C₂²×C₁₁	—	4	4	no	—
414	C₂²×C₁₁	—	4	2	no	—
415	C₂²×C₁₁	—	16	4	no	—
416	C₂²×C₁₁	#532	1	2	yes	—
417	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
418	C₄×C₁₁	—	2	2	no	—
419	C₄×C₁₁	—	2	2	no	—
420	C₄×C₁₁	—	2	1	no	—
421	C₄×C₁₁	—	2	2	no	—
422	C₄×C₁₁	—	2	1	no	—
423	C₄×C₁₁	—	4	2	no	—
424	C₄×C₁₁	—	4	2	no	—
425	C₄×C₁₁	—	4	4	no	—
426	C₄×C₁₁	—	4	2	no	—
427	C₄×C₁₁	#532	1	2	yes	—
428	C₄×C₁₁	#576	1	2	yes	—
429	C₄×C₁₁	#577	1	2	yes	—
430	C₄×C₁₁	C₂²×#41	1	2	yes	—
431	C₂×#41	—	2	2	no	—
432	C₂×#41	—	2	2	no	—
433	C₂×#41	—	2	2	no	—
434	C₂×#41	C₂³×C₁₁	1	2	yes	—
435	C₂×#41	C₂³×C₁₁	1	1	yes	characteristic
436	C₂²×Q₈	—	2	1	no	—
437	C₂²×D₄	—	2	1	no	—
438	C₂²×D₄	—	2	1	no	—
439	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
440	AGL(1,ℤ/8)	—	2	16	no	—
441	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	—
442	C₂×D₈	C₂³×C₁₁	1	8	yes	—
443	#131	—	2	8	no	—
444	C₂×M₁₆	C₂³×C₁₁	1	4	yes	—
445	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
446	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
447	C₂²×C₈	C₂³×C₁₁	1	4	yes	—
448	C₄⋊Q₈	—	2	1	no	—
449	C₄⋊Q₈	—	2	1	no	—
450	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
451	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
452	C₄⋊Q₈	C₂³×C₁₁	1	2	yes	—
453	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
454	C₄⋊Q₈	C₂³×C₁₁	1	1	yes	characteristic
455	#127	—	2	2	no	—
456	#127	—	2	1	no	—
457	#127	—	2	1	no	—
458	#127	C₂³×C₁₁	1	2	yes	—
459	#127	C₂³×C₁₁	1	2	yes	—
460	#127	C₂³×C₁₁	1	1	yes	characteristic
461	#126	—	2	4	no	—
462	#125	—	2	2	no	—
463	#125	C₂³×C₁₁	1	2	yes	—
464	#124	—	2	2	no	—
465	#124	—	2	4	no	—
466	#124	—	2	2	no	—
467	#124	—	2	2	no	—
468	#124	—	2	2	no	—
469	#124	C₂³×C₁₁	1	2	yes	—
470	#123	—	2	4	no	—
471	#123	—	2	4	no	—
472	#123	—	2	4	no	—
473	C₂²⋊Q₈	—	2	2	no	—
474	C₂²⋊Q₈	—	2	1	no	—
475	C₂²⋊Q₈	—	2	1	no	—
476	C₂²⋊Q₈	—	2	2	no	—
477	C₂²⋊Q₈	—	2	4	no	—
478	C₂²⋊Q₈	C₂³×C₁₁	1	4	yes	—
479	#121	—	2	2	no	—
480	#121	—	2	4	no	—
481	#121	—	2	2	no	—
482	#121	—	2	2	no	—
483	#121	—	2	1	no	—
484	#121	—	2	1	no	—
485	#121	—	2	2	no	—
486	#121	—	2	4	no	—
487	#121	—	2	4	no	—
488	#121	C₂³×C₁₁	1	4	yes	—
489	#121	C₂³×C₁₁	1	4	yes	—
490	#121	C₂³×C₁₁	1	4	yes	—
491	#120	—	2	4	no	—
492	C₄×Q₈	—	2	1	no	—
493	C₄×Q₈	—	2	1	no	—
494	C₄×Q₈	—	2	2	no	—
495	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
496	C₄×Q₈	D₄×C₁₁	1	1	yes	characteristic
497	C₄×Q₈	C₂³×C₁₁	1	4	yes	—
498	C₄×D₄	—	2	2	no	—
499	C₄×D₄	—	2	2	no	—
500	C₄×D₄	—	2	4	no	—
501	C₄×D₄	—	2	2	no	—
502	C₄×D₄	—	2	2	no	—
503	C₄×D₄	—	2	1	no	—
504	C₄×D₄	—	2	1	no	—
505	C₄×D₄	—	2	2	no	—
506	C₄×D₄	D₄×C₁₁	1	2	yes	—
507	C₄×D₄	D₄×C₁₁	1	2	yes	—
508	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
509	C₄×D₄	D₄×C₁₁	1	1	yes	characteristic
510	C₄×D₄	C₂³×C₁₁	1	4	yes	—
511	C₄×D₄	C₂³×C₁₁	1	4	yes	—
512	C₄×D₄	C₂³×C₁₁	1	4	yes	—
513	#117	—	2	2	no	—
514	#117	—	2	2	no	—
515	#117	C₂³×C₁₁	1	2	yes	—
516	#117	C₂³×C₁₁	1	1	yes	characteristic
517	#117	C₂³×C₁₁	1	2	yes	—
518	C₂×C₄⋊C₄	—	2	1	no	—
519	C₂×C₄⋊C₄	—	2	2	no	—
520	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
521	C₂×C₂²⋊C₄	—	2	4	no	—
522	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
523	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
524	#107	C₂³×C₁₁	1	8	yes	—
525	#106	C₂³×C₁₁	1	8	yes	—
526	#103	C₂³×C₁₁	1	4	yes	—
527	#103	C₂³×C₁₁	1	4	yes	—
528	#102	C₂³×C₁₁	1	8	yes	—
529	#102	C₂³×C₁₁	1	8	yes	—
530	#102	C₂³×C₁₁	1	4	yes	—
531	#102	C₂³×C₁₁	1	4	yes	—
532	#97	C₂³×C₁₁	1	2	yes	—
533	#97	C₂³×C₁₁	1	4	yes	—
534	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
535	C₄×C₈	C₂³×C₁₁	1	1	yes	characteristic
536	C₄×C₈	C₂³×C₁₁	1	2	yes	—
537	C₄×C₈	C₂³×C₁₁	1	2	yes	—
538	C₄×C₈	C₂³×C₁₁	1	4	yes	—
539	C₂×C₁₁	—	2	2	no	—
540	C₂×C₁₁	—	4	2	no	—
541	C₂×C₁₁	—	8	2	no	—
542	C₂×C₁₁	—	8	4	no	—
543	C₂×C₁₁	C₂×#532	1	1	yes	characteristic
544	C₂×C₁₁	C₂×#576	1	1	yes	characteristic
545	C₂×C₁₁	C₂×#577	1	1	yes	characteristic
546	C₂⁴	—	2	2	no	—
547	#41	—	2	4	no	—
548	#41	—	2	8	no	—
549	#41	—	8	4	no	—
550	#41	—	8	4	no	—
551	#41	—	8	4	no	—
552	C₂×Q₈	—	2	1	no	—
553	C₂×Q₈	—	2	1	no	—
554	C₂×Q₈	—	2	2	no	—
555	C₂×Q₈	—	2	2	no	—
556	C₂×Q₈	—	8	2	no	—
557	C₂×Q₈	C₂×D₄×C₁₁	1	1	yes	characteristic
558	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
559	C₂×D₄	—	2	2	no	—
560	C₂×D₄	—	2	4	no	—
561	C₂×D₄	—	2	4	no	—
562	C₂×D₄	—	2	4	no	—
563	C₂×D₄	—	2	1	no	—
564	C₂×D₄	—	2	2	no	—
565	C₂×D₄	—	2	1	no	—
566	C₂×D₄	—	2	2	no	—
567	C₂×D₄	—	2	2	no	—
568	C₂×D₄	—	2	2	no	—
569	C₂×D₄	—	2	2	no	—
570	C₂×D₄	—	2	8	no	—
571	C₂×D₄	—	8	2	no	—
572	C₂×D₄	—	8	2	no	—
573	C₂×D₄	C₂×D₄×C₁₁	1	2	yes	—
574	C₂×D₄	C₂×D₄×C₁₁	1	1	yes	characteristic
575	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
576	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
577	C₂²×C₄	—	2	2	no	—
578	C₂²×C₄	—	2	2	no	—
579	C₂²×C₄	—	2	4	no	—
580	C₂²×C₄	—	2	4	no	—
581	C₂²×C₄	—	2	4	no	—
582	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
583	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
584	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
585	C₂²×C₄	C₂×D₄×C₁₁	1	2	yes	—
586	C₂²×C₄	C₂⁴×C₁₁	1	2	yes	—
587	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
588	SD₁₆	—	2	16	no	—
589	D₈	—	2	16	no	—
590	M₁₆	—	2	8	no	—
591	M₁₆	C₁₁×#41	1	8	yes	complemented
592	C₂×C₈	—	2	4	no	—
593	C₂×C₈	—	2	8	no	—
594	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
595	C₂×C₈	C₂⁴×C₁₁	1	2	yes	—
596	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
597	C₄⋊C₄	—	2	2	no	—
598	C₄⋊C₄	—	2	2	no	—
599	C₄⋊C₄	—	2	4	no	—
600	C₄⋊C₄	—	2	2	no	—
601	C₄⋊C₄	—	2	1	no	—
602	C₄⋊C₄	—	2	1	no	—
603	C₄⋊C₄	—	2	1	no	—
604	C₄⋊C₄	—	2	1	no	—
605	C₄⋊C₄	—	2	2	no	—
606	C₄⋊C₄	—	2	2	no	—
607	C₄⋊C₄	—	2	4	no	—
608	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
609	C₄⋊C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
610	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
611	C₄⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
612	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
613	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
614	C₄⋊C₄	C₂⁴×C₁₁	1	2	yes	—
615	C₂²⋊C₄	—	2	2	no	—
616	C₂²⋊C₄	—	2	4	no	—
617	C₂²⋊C₄	—	2	4	no	—
618	C₂²⋊C₄	—	2	4	no	—
619	C₂²⋊C₄	—	2	4	no	—
620	C₂²⋊C₄	—	2	4	no	—
621	C₂²⋊C₄	—	2	4	no	—
622	C₂²⋊C₄	—	2	4	no	—
623	C₂²⋊C₄	—	2	2	no	—
624	C₂²⋊C₄	—	2	2	no	—
625	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
626	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
627	C₂²⋊C₄	C₂×D₄×C₁₁	1	2	yes	—
628	C₄²	—	2	4	no	—
629	C₄²	—	2	2	no	—
630	C₄²	C₂×D₄×C₁₁	1	2	yes	—
631	C₄²	C₂×D₄×C₁₁	1	2	yes	—
632	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
633	C₄²	C₂×D₄×C₁₁	1	1	yes	characteristic
634	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
635	C₄²	C₂⁴×C₁₁	1	2	yes	—
636	C₄²	C₂⁴×C₁₁	1	1	yes	characteristic
637	C₁₁	#60722	1	1	yes	characteristic, direct product factor, Sylow
638	C₂³	—	2	2	no	—
639	C₂³	—	2	4	no	—
640	C₂³	—	4	4	no	—
641	C₂³	—	8	2	no	—
642	C₂³	—	8	2	no	—
643	C₂³	C₂²×D₄×C₁₁	1	2	yes	—
644	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
645	Q₈	—	2	2	no	—
646	Q₈	—	2	4	no	—
647	Q₈	—	4	4	no	—
648	Q₈	—	4	2	no	—
649	Q₈	—	4	2	no	—
650	Q₈	—	8	2	no	—
651	D₄	—	2	4	no	—
652	D₄	—	2	2	no	—
653	D₄	—	2	4	no	—
654	D₄	—	2	8	no	—
655	D₄	—	4	4	no	—
656	D₄	—	4	4	no	—
657	D₄	—	4	4	no	—
658	D₄	—	4	2	no	—
659	D₄	—	4	2	no	—
660	D₄	—	4	4	no	—
661	D₄	—	8	2	no	—
662	D₄	—	8	2	no	—
663	D₄	—	8	4	no	—
664	D₄	—	8	4	no	—
665	D₄	—	8	4	no	—
666	C₂×C₄	—	2	2	no	—
667	C₂×C₄	—	2	4	no	—
668	C₂×C₄	—	2	2	no	—
669	C₂×C₄	—	2	4	no	—
670	C₂×C₄	—	2	4	no	—
671	C₂×C₄	—	2	2	no	—
672	C₂×C₄	—	2	2	no	—
673	C₂×C₄	—	2	2	no	—
674	C₂×C₄	—	2	4	no	—
675	C₂×C₄	—	4	4	no	—
676	C₂×C₄	—	8	4	no	—
677	C₂×C₄	—	8	4	no	—
678	C₂×C₄	—	8	4	no	—
679	C₂×C₄	—	8	2	no	—
680	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
681	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
682	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
683	C₂×C₄	C₂²×D₄×C₁₁	1	2	yes	—
684	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
685	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
686	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
687	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
688	C₂×C₄	C₂×C₁₁×#41	1	4	yes	—
689	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
690	C₈	—	2	2	no	—
691	C₈	—	2	2	no	—
692	C₈	C₂×C₁₁×#41	1	8	yes	—
693	C₂²	—	2	1	no	—
694	C₂²	—	2	1	no	—
695	C₂²	—	2	2	no	—
696	C₂²	—	2	2	no	—
697	C₂²	—	2	2	no	—
698	C₂²	—	4	2	no	—
699	C₂²	—	4	4	no	—
700	C₂²	—	4	2	no	—
701	C₂²	—	4	4	no	—
702	C₂²	—	4	4	no	—
703	C₂²	—	4	2	no	—
704	C₂²	—	16	4	no	—
705	C₂²	C₁₁×#532	1	2	yes	—
706	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
707	C₄	—	2	2	no	—
708	C₄	—	2	2	no	—
709	C₄	—	2	1	no	—
710	C₄	—	2	2	no	—
711	C₄	—	2	1	no	—
712	C₄	—	4	2	no	—
713	C₄	—	4	2	no	—
714	C₄	—	4	4	no	—
715	C₄	—	4	2	no	—
716	C₄	C₁₁×#532	1	2	yes	—
717	C₄	C₁₁×#576	1	2	yes	—
718	C₄	C₁₁×#577	1	2	yes	—
719	C₄	C₂²×C₁₁×#41	1	2	yes	—
720	C₂	—	2	2	no	—
721	C₂	—	4	2	no	—
722	C₂	—	8	4	no	—
723	C₂	—	8	2	no	—
724	C₂	C₂×C₁₁×#532	1	1	yes	characteristic
725	C₂	C₂×C₁₁×#576	1	1	yes	characteristic
726	C₂	C₂×C₁₁×#577	1	1	yes	characteristic

	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 ◁ C₄×C₁₁×#41 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₁₁×#3511	C₂	semidirect
2. C₁₁×#3508	C₂	semidirect
3. C₁₁×#3184	C₂	semidirect
4. C₁₁×#3182	C₂	semidirect
5. C₁₁×#3179	C₂	semidirect
6. C₁₁×#3169	C₂	semidirect
7. C₁₁×#3167	C₂	semidirect
8. C₁₁×#3165	C₂	semidirect
9. C₁₁×#3151	C₂	semidirect
10. C₁₁×#3131	C₂	semidirect
11. C₂×C₁₁×#486	C₂	semidirect
12. C₁₁×#3062	C₂	semidirect
13. C₁₁×#2946	C₂	semidirect
14. C₄×C₁₁×#131	C₂	semidirect
29. C₁₁×#542	C₂²	semidirect
34. C₁₁×#533	C₂²	semidirect
38. C₁₁×#532	C₂²	semidirect
44. C₁₁×#501	C₂²	semidirect
45. C₁₁×#500	C₂²	semidirect
46. C₁₁×#498	C₂²	semidirect
50. C₁₁×#488	C₂²	semidirect
51. C₁₁×#487	C₂²	semidirect
52. C₁₁×#487	C₂²	semidirect
56. C₁₁×#486	C₂²	semidirect
57. C₁₁×#486	C₂²	semidirect
58. C₁₁×#469	C₂²	semidirect
59. C₁₁×#468	C₂²	semidirect
60. C₁₁×#466	C₂²	semidirect
61. C₁₁×#465	C₂²	semidirect
62. C₁₁×#442	C₂²	semidirect
63. C₁₁×#440	C₂²	semidirect
64. C₄×C₁₁×SD₁₆	C₂²	semidirect
65. C₄×C₁₁×D₈	C₂²	semidirect
70. C₁₁×#405	C₂²	semidirect
72. C₄×C₁₁×M₁₆	C₂²	semidirect
74. C₂×C₄×C₈×C₁₁	C₂²	semidirect
183. #60722	C₁₁	direct (N × H)
229. C₁₁×M₁₆	#41	semidirect
275. #3511	C₂×C₁₁	semidirect
276. #3508	C₂×C₁₁	semidirect
277. #3184	C₂×C₁₁	semidirect
278. #3182	C₂×C₁₁	semidirect
279. #3179	C₂×C₁₁	semidirect
280. #3169	C₂×C₁₁	semidirect
281. #3167	C₂×C₁₁	semidirect
282. #3165	C₂×C₁₁	semidirect
283. #3151	C₂×C₁₁	semidirect
284. #3131	C₂×C₁₁	semidirect
285. C₂×#486	C₂×C₁₁	semidirect
286. #3062	C₂×C₁₁	semidirect
287. #2946	C₂×C₁₁	semidirect
288. C₄×#131	C₂×C₁₁	semidirect
358. #542	C₂²×C₁₁	semidirect
363. #533	C₂²×C₁₁	semidirect
367. #532	C₂²×C₁₁	semidirect
373. #501	C₂²×C₁₁	semidirect
374. #500	C₂²×C₁₁	semidirect
375. #498	C₂²×C₁₁	semidirect
379. #488	C₂²×C₁₁	semidirect
380. #487	C₂²×C₁₁	semidirect
381. #487	C₂²×C₁₁	semidirect
385. #486	C₂²×C₁₁	semidirect
386. #486	C₂²×C₁₁	semidirect
387. #469	C₂²×C₁₁	semidirect
388. #468	C₂²×C₁₁	semidirect
389. #466	C₂²×C₁₁	semidirect
390. #465	C₂²×C₁₁	semidirect
391. #442	C₂²×C₁₁	semidirect
392. #440	C₂²×C₁₁	semidirect
393. C₄×SD₁₆	C₂²×C₁₁	semidirect
394. C₄×D₈	C₂²×C₁₁	semidirect
399. #405	C₂²×C₁₁	semidirect
401. C₄×M₁₆	C₂²×C₁₁	semidirect
403. C₂×C₄×C₈	C₂²×C₁₁	semidirect
591. M₁₆	C₁₁×#41	semidirect
637. C₁₁	#60722	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×#3511	2
C₁₁×#3508	2
C₁₁×#3184	2
C₁₁×#3182	2
C₁₁×#3179	2
C₁₁×#3169	2
C₁₁×#3167	2
C₁₁×#3165	2
C₁₁×#3151	2
C₁₁×#3131	2
C₂×C₁₁×#486	2
C₁₁×#3062	2
C₁₁×#2946	2
C₄×C₁₁×#131	2
#60722	11

Subgroups — C11×#60722 #14637915

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60722 #14637915