Subgroups — C₁₁×#60168 #14637361

Order 2816.

2882 conjugacy classes of subgroups.

The subgroup lattice has 628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₁₁×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic
2	C₁₁×#3428	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×C₁₁×#518	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₁×#2949	C₂	1	4	yes	maximal, complemented
5	C₁₁×#2948	C₂	1	4	yes	maximal, complemented
6	C₁₁×#2946	C₂	1	8	yes	maximal, complemented
7	C₄×C₁₁×AGL(1,ℤ/8)	C₂	1	8	yes	maximal, complemented
8	C₁₁×#2911	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₁×#2896	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×C₁₁×#418	C₂	1	1	yes	maximal, characteristic, complemented
11	C₁₁×#2873	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂²×C₁₁×#41	C₂²	1	1	yes	characteristic
13	C₂³×D₄×C₁₁	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×AGL(1,ℤ/8)	C₄	1	16	yes	complemented
15	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	4	yes	—
16	C₂×C₁₁×AGL(1,ℤ/8)	C₂²	1	4	yes	—
17	C₂²×C₁₁×SD₁₆	C₂²	1	2	yes	—
18	C₂²×C₁₁×D₈	C₂²	1	2	yes	—
19	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
20	C₂²×C₁₁×M₁₆	C₂²	1	1	yes	characteristic
21	C₁₁×#520	—	2	2	no	—
22	C₁₁×#520	C₂²	1	4	yes	complemented
23	C₁₁×#519	C₂²	1	2	yes	complemented
24	C₁₁×#518	—	2	2	no	—
25	C₁₁×#518	—	2	2	no	—
26	C₁₁×#518	—	2	2	no	—
27	C₁₁×#518	C₂²	1	4	yes	—
28	C₁₁×#518	C₂²	1	4	yes	complemented
29	C₁₁×#518	C₂²	1	2	yes	complemented
30	C₄×C₁₁×#41	—	2	2	no	—
31	C₄×C₁₁×#41	C₂²	1	4	yes	complemented
32	C₂×C₄×D₄×C₁₁	—	2	2	no	—
33	C₂×C₄×D₄×C₁₁	C₂²	1	4	yes	complemented
34	C₂×C₁₁×#117	—	2	2	no	—
35	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
36	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
37	C₂×C₁₁×#117	C₂²	1	1	yes	characteristic
38	C₂²×C₁₁×C₂²⋊C₄	—	2	2	no	—
39	C₁₁×#442	C₂²	1	16	yes	complemented
40	C₁₁×#440	C₂²	1	16	yes	complemented
41	C₄×C₁₁×SD₁₆	C₂²	1	16	yes	complemented
42	C₄×C₁₁×D₈	C₂²	1	16	yes	complemented
43	C₁₁×#428	C₂²	1	4	yes	complemented
44	C₁₁×#428	C₂²	1	4	yes	complemented
45	C₁₁×#427	C₂²	1	4	yes	complemented
46	C₁₁×#419	C₂²	1	2	yes	complemented
47	C₁₁×#418	C₂²	1	4	yes	—
48	C₁₁×#418	C₂²	1	4	yes	complemented
49	C₁₁×#418	C₂²	1	2	yes	complemented
50	C₁₁×#417	C₂²	1	4	yes	complemented
51	C₁₁×#416	C₂²	1	4	yes	complemented
52	C₂×C₁₁×#102	C₂²	1	4	yes	complemented
53	C₁₁×#405	C₂²	1	4	yes	complemented
54	C₁₁×#405	C₂²	1	4	yes	complemented
55	C₄×C₁₁×M₁₆	C₂²	1	4	yes	complemented
56	C₂⁵×C₁₁	—	2	1	no	—
57	C₂×C₁₁×#41	—	2	1	no	—
58	C₂×C₁₁×#41	—	2	1	no	—
59	C₂×C₁₁×#41	—	2	4	no	—
60	C₂×C₁₁×#41	C₂×C₄	1	8	yes	complemented
61	C₂×C₁₁×#41	C₂³	1	2	yes	—
62	C₂×C₁₁×#41	C₂³	1	2	yes	—
63	C₂²×Q₈×C₁₁	C₂³	1	1	yes	characteristic
64	C₂²×D₄×C₁₁	—	2	1	no	—
65	C₂²×D₄×C₁₁	—	2	1	no	—
66	C₂²×D₄×C₁₁	—	2	1	no	—
67	C₂²×D₄×C₁₁	—	2	1	no	—
68	C₂²×D₄×C₁₁	—	2	4	no	—
69	C₂²×D₄×C₁₁	C₂×C₄	1	8	yes	complemented
70	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
71	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
72	C₂²×D₄×C₁₁	C₂³	1	2	yes	—
73	C₂²×D₄×C₁₁	C₂³	1	1	yes	characteristic
74	C₂³×C₄×C₁₁	—	2	1	no	—
75	C₂³×C₄×C₁₁	—	2	4	no	—
76	C₂³×C₄×C₁₁	C₂³	1	1	yes	characteristic
77	C₁₁×AGL(1,ℤ/8)	C₂×C₄	1	32	yes	complemented
78	C₁₁×AGL(1,ℤ/8)	C₂×C₄	1	32	yes	complemented
79	C₂×C₁₁×SD₁₆	C₂×C₄	1	16	yes	complemented
80	C₂×C₁₁×SD₁₆	C₂³	1	8	yes	—
81	C₂×C₁₁×D₈	C₂×C₄	1	16	yes	complemented
82	C₂×C₁₁×D₈	C₂³	1	8	yes	—
83	C₂×C₁₁×M₁₆	—	2	4	no	—
84	C₂×C₁₁×M₁₆	C₂×C₄	1	8	yes	complemented
85	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
86	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
87	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
88	C₂×C₁₁×M₁₆	C₂³	1	2	yes	—
89	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
90	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
91	C₄×Q₈×C₁₁	—	2	4	no	—
92	C₄×Q₈×C₁₁	C₂³	1	8	yes	complemented
93	C₄×D₄×C₁₁	—	2	8	no	—
94	C₄×D₄×C₁₁	—	2	8	no	—
95	C₄×D₄×C₁₁	—	2	8	no	—
96	C₄×D₄×C₁₁	—	2	4	no	—
97	C₄×D₄×C₁₁	—	2	8	no	—
98	C₄×D₄×C₁₁	—	2	8	no	—
99	C₄×D₄×C₁₁	C₂³	1	16	yes	—
100	C₄×D₄×C₁₁	C₂³	1	8	yes	complemented
101	C₁₁×#117	—	2	1	no	—
102	C₁₁×#117	—	2	1	no	—
103	C₁₁×#117	—	2	1	no	—
104	C₁₁×#117	—	2	1	no	—
105	C₁₁×#117	—	2	4	no	—
106	C₁₁×#117	—	2	4	no	—
107	C₁₁×#117	—	2	4	no	—
108	C₁₁×#117	D₄	1	2	yes	—
109	C₁₁×#117	D₄	1	2	yes	—
110	C₁₁×#117	C₂³	1	2	yes	—
111	C₁₁×#117	C₂³	1	2	yes	—
112	C₁₁×#117	C₂³	1	2	yes	—
113	C₁₁×#117	C₂³	1	2	yes	—
114	C₁₁×#117	C₂³	1	2	yes	—
115	C₁₁×#117	C₂³	1	2	yes	—
116	C₂×C₁₁×C₄⋊C₄	—	2	4	no	—
117	C₂×C₁₁×C₄⋊C₄	D₄	1	2	yes	—
118	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
119	C₂×C₁₁×C₄⋊C₄	C₂³	1	2	yes	—
120	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
121	C₂×C₁₁×C₂²⋊C₄	—	2	1	no	—
122	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
123	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
124	C₂×C₁₁×C₂²⋊C₄	—	2	8	no	—
125	C₂×C₁₁×C₂²⋊C₄	—	2	4	no	—
126	C₂×C₁₁×C₂²⋊C₄	D₄	1	2	yes	—
127	C₂×C₄²×C₁₁	—	2	1	no	—
128	C₂×C₄²×C₁₁	—	2	1	no	—
129	C₂×C₄²×C₁₁	—	2	4	no	—
130	C₂×C₄²×C₁₁	C₂³	1	2	yes	—
131	C₁₁×#107	C₂³	1	8	yes	complemented
132	C₁₁×#106	C₂³	1	8	yes	complemented
133	C₁₁×#103	C₂³	1	8	yes	complemented
134	C₁₁×#102	C₂³	1	16	yes	—
135	C₁₁×#102	C₂³	1	8	yes	complemented
136	C₁₁×#97	C₂³	1	8	yes	complemented
137	C₄×C₈×C₁₁	C₂³	1	8	yes	complemented
138	#60168	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
139	C₂⁴×C₁₁	—	2	2	no	—
140	C₂⁴×C₁₁	—	2	8	no	—
141	C₂⁴×C₁₁	—	2	1	no	—
142	C₂⁴×C₁₁	—	2	2	no	—
143	C₂⁴×C₁₁	—	2	2	no	—
144	C₂⁴×C₁₁	—	8	4	no	—
145	C₂⁴×C₁₁	C₂×D₄	1	1	yes	characteristic
146	C₁₁×#41	—	2	8	no	—
147	C₁₁×#41	—	2	8	no	—
148	C₁₁×#41	—	2	4	no	—
149	C₁₁×#41	—	2	4	no	—
150	C₁₁×#41	C₂²×C₄	1	8	yes	—
151	C₁₁×#41	C₂²×C₄	1	8	yes	complemented
152	C₂×Q₈×C₁₁	—	2	1	no	—
153	C₂×Q₈×C₁₁	—	2	2	no	—
154	C₂×Q₈×C₁₁	C₂²×C₄	1	4	yes	complemented
155	C₂×Q₈×C₁₁	C₂⁴	1	2	yes	—
156	C₂×D₄×C₁₁	—	2	8	no	—
157	C₂×D₄×C₁₁	—	2	2	no	—
158	C₂×D₄×C₁₁	—	2	2	no	—
159	C₂×D₄×C₁₁	—	2	8	no	—
160	C₂×D₄×C₁₁	—	2	8	no	—
161	C₂×D₄×C₁₁	—	2	8	no	—
162	C₂×D₄×C₁₁	—	2	2	no	—
163	C₂×D₄×C₁₁	—	2	2	no	—
164	C₂×D₄×C₁₁	—	2	2	no	—
165	C₂×D₄×C₁₁	—	2	1	no	—
166	C₂×D₄×C₁₁	—	2	4	no	—
167	C₂×D₄×C₁₁	—	2	4	no	—
168	C₂×D₄×C₁₁	—	2	4	no	—
169	C₂×D₄×C₁₁	—	2	2	no	—
170	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
171	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
172	C₂×D₄×C₁₁	C₂²×C₄	1	8	yes	—
173	C₂×D₄×C₁₁	C₂²×C₄	1	4	yes	complemented
174	C₂×D₄×C₁₁	C₂⁴	1	4	yes	—
175	C₂×D₄×C₁₁	C₂⁴	1	2	yes	—
176	C₂²×C₄×C₁₁	—	2	1	no	—
177	C₂²×C₄×C₁₁	—	2	8	no	—
178	C₂²×C₄×C₁₁	—	2	2	no	—
179	C₂²×C₄×C₁₁	—	2	2	no	—
180	C₂²×C₄×C₁₁	—	2	2	no	—
181	C₂²×C₄×C₁₁	—	2	2	no	—
182	C₂²×C₄×C₁₁	—	2	8	no	—
183	C₂²×C₄×C₁₁	—	2	16	no	—
184	C₂²×C₄×C₁₁	—	8	8	no	—
185	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
186	C₂²×C₄×C₁₁	C₂×D₄	1	4	yes	—
187	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
188	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
189	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
190	C₂²×C₄×C₁₁	#41	1	4	yes	—
191	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
192	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
193	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
194	C₁₁×SD₁₆	C₂²×C₄	1	32	yes	complemented
195	C₁₁×D₈	C₂²×C₄	1	32	yes	complemented
196	C₁₁×M₁₆	—	2	4	no	—
197	C₁₁×M₁₆	—	2	4	no	—
198	C₁₁×M₁₆	C₂²×C₄	1	8	yes	—
199	C₁₁×M₁₆	C₂²×C₄	1	8	yes	complemented
200	C₂×C₈×C₁₁	—	2	4	no	—
201	C₂×C₈×C₁₁	C₂²×C₄	1	8	yes	complemented
202	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
203	C₂×C₈×C₁₁	C₂⁴	1	4	yes	—
204	C₁₁×C₄⋊C₄	—	2	2	no	—
205	C₁₁×C₄⋊C₄	—	2	8	no	—
206	C₁₁×C₄⋊C₄	—	2	2	no	—
207	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
208	C₁₁×C₄⋊C₄	C₂×D₄	1	4	yes	—
209	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
210	C₁₁×C₄⋊C₄	C₂⁴	1	4	yes	—
211	C₁₁×C₂²⋊C₄	—	2	2	no	—
212	C₁₁×C₂²⋊C₄	—	2	2	no	—
213	C₁₁×C₂²⋊C₄	—	2	2	no	—
214	C₁₁×C₂²⋊C₄	—	2	2	no	—
215	C₁₁×C₂²⋊C₄	—	2	16	no	—
216	C₁₁×C₂²⋊C₄	—	2	8	no	—
217	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
218	C₁₁×C₂²⋊C₄	C₂×D₄	1	4	yes	—
219	C₄²×C₁₁	—	2	2	no	—
220	C₄²×C₁₁	—	2	8	no	—
221	C₄²×C₁₁	—	2	2	no	—
222	C₄²×C₁₁	—	2	2	no	—
223	C₄²×C₁₁	—	2	2	no	—
224	C₄²×C₁₁	C₂×D₄	1	4	yes	—
225	C₄²×C₁₁	C₂⁴	1	4	yes	—
226	C₂²×AGL(1,ℤ/8)	C₂×C₁₁	1	1	yes	characteristic
227	#3428	C₂×C₁₁	1	1	yes	characteristic, complemented
228	C₂×#518	C₂×C₁₁	1	1	yes	characteristic, complemented
229	#2949	C₂×C₁₁	1	4	yes	complemented
230	#2948	C₂×C₁₁	1	4	yes	complemented
231	#2946	C₂×C₁₁	1	8	yes	complemented
232	C₄×AGL(1,ℤ/8)	C₂×C₁₁	1	8	yes	complemented
233	#2911	C₂×C₁₁	1	1	yes	characteristic, complemented
234	#2896	C₂×C₁₁	1	1	yes	characteristic, complemented
235	C₂×#418	C₂×C₁₁	1	1	yes	characteristic, complemented
236	#2873	C₂×C₁₁	1	1	yes	characteristic, complemented
237	C₂³×C₁₁	—	2	8	no	—
238	C₂³×C₁₁	—	2	2	no	—
239	C₂³×C₁₁	—	2	4	no	—
240	C₂³×C₁₁	—	2	4	no	—
241	C₂³×C₁₁	—	2	8	no	—
242	C₂³×C₁₁	—	2	8	no	—
243	C₂³×C₁₁	—	4	2	no	—
244	C₂³×C₁₁	—	4	8	no	—
245	C₂³×C₁₁	—	8	2	no	—
246	C₂³×C₁₁	—	8	4	no	—
247	C₂³×C₁₁	—	8	4	no	—
248	C₂³×C₁₁	—	8	16	no	—
249	C₂³×C₁₁	C₄×D₄	1	4	yes	—
250	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
251	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
252	C₂³×C₁₁	C₂²×D₄	1	1	yes	characteristic
253	Q₈×C₁₁	—	2	4	no	—
254	Q₈×C₁₁	—	2	2	no	—
255	Q₈×C₁₁	C₂³×C₄	1	4	yes	—
256	D₄×C₁₁	—	2	8	no	—
257	D₄×C₁₁	—	2	8	no	—
258	D₄×C₁₁	—	2	8	no	—
259	D₄×C₁₁	—	2	8	no	—
260	D₄×C₁₁	—	2	8	no	—
261	D₄×C₁₁	—	2	4	no	—
262	D₄×C₁₁	—	2	4	no	—
263	D₄×C₁₁	—	2	2	no	—
264	D₄×C₁₁	C₂³×C₄	1	4	yes	—
265	D₄×C₁₁	C₂³×C₄	1	8	yes	—
266	C₂×C₄×C₁₁	—	2	4	no	—
267	C₂×C₄×C₁₁	—	2	2	no	—
268	C₂×C₄×C₁₁	—	2	8	no	—
269	C₂×C₄×C₁₁	—	2	8	no	—
270	C₂×C₄×C₁₁	—	2	4	no	—
271	C₂×C₄×C₁₁	—	2	4	no	—
272	C₂×C₄×C₁₁	—	4	4	no	—
273	C₂×C₄×C₁₁	—	4	4	no	—
274	C₂×C₄×C₁₁	—	8	8	no	—
275	C₂×C₄×C₁₁	—	8	16	no	—
276	C₂×C₄×C₁₁	—	8	2	no	—
277	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
278	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
279	C₂×C₄×C₁₁	C₄×D₄	1	4	yes	—
280	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
281	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
282	C₂×C₄×C₁₁	C₂³×C₄	1	2	yes	—
283	C₂×C₄×C₁₁	C₂²×D₄	1	8	yes	—
284	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
285	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
286	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
287	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
288	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
289	C₂×C₄×C₁₁	C₂×#41	1	2	yes	—
290	C₂×C₄×C₁₁	C₂⁵	1	1	yes	characteristic
291	C₈×C₁₁	—	2	4	no	—
292	C₈×C₁₁	C₂³×C₄	1	8	yes	—
293	C₂²×#41	C₂²×C₁₁	1	1	yes	characteristic
294	C₂³×D₄	C₂²×C₁₁	1	1	yes	characteristic
295	C₂×AGL(1,ℤ/8)	C₄×C₁₁	1	16	yes	complemented
296	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	—
297	C₂×AGL(1,ℤ/8)	C₂²×C₁₁	1	4	yes	—
298	C₂²×SD₁₆	C₂²×C₁₁	1	2	yes	—
299	C₂²×D₈	C₂²×C₁₁	1	2	yes	—
300	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
301	C₂²×M₁₆	C₂²×C₁₁	1	1	yes	characteristic
302	#520	—	2	2	no	—
303	#520	C₂²×C₁₁	1	4	yes	complemented
304	#519	C₂²×C₁₁	1	2	yes	complemented
305	#518	—	2	2	no	—
306	#518	—	2	2	no	—
307	#518	—	2	2	no	—
308	#518	C₂²×C₁₁	1	4	yes	—
309	#518	C₂²×C₁₁	1	4	yes	complemented
310	#518	C₂²×C₁₁	1	2	yes	complemented
311	C₄×#41	—	2	2	no	—
312	C₄×#41	C₂²×C₁₁	1	4	yes	complemented
313	C₂×C₄×D₄	—	2	2	no	—
314	C₂×C₄×D₄	C₂²×C₁₁	1	4	yes	complemented
315	C₂×#117	—	2	2	no	—
316	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
317	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
318	C₂×#117	C₂²×C₁₁	1	1	yes	characteristic
319	C₂²×C₂²⋊C₄	—	2	2	no	—
320	#442	C₂²×C₁₁	1	16	yes	complemented
321	#440	C₂²×C₁₁	1	16	yes	complemented
322	C₄×SD₁₆	C₂²×C₁₁	1	16	yes	complemented
323	C₄×D₈	C₂²×C₁₁	1	16	yes	complemented
324	#428	C₂²×C₁₁	1	4	yes	complemented
325	#428	C₂²×C₁₁	1	4	yes	complemented
326	#427	C₂²×C₁₁	1	4	yes	complemented
327	#419	C₂²×C₁₁	1	2	yes	complemented
328	#418	C₂²×C₁₁	1	4	yes	—
329	#418	C₂²×C₁₁	1	4	yes	complemented
330	#418	C₂²×C₁₁	1	2	yes	complemented
331	#417	C₂²×C₁₁	1	4	yes	complemented
332	#416	C₂²×C₁₁	1	4	yes	complemented
333	C₂×#102	C₂²×C₁₁	1	4	yes	complemented
334	#405	C₂²×C₁₁	1	4	yes	complemented
335	#405	C₂²×C₁₁	1	4	yes	complemented
336	C₄×M₁₆	C₂²×C₁₁	1	4	yes	complemented
337	C₂²×C₁₁	—	2	2	no	—
338	C₂²×C₁₁	—	2	2	no	—
339	C₂²×C₁₁	—	2	2	no	—
340	C₂²×C₁₁	—	2	4	no	—
341	C₂²×C₁₁	—	2	8	no	—
342	C₂²×C₁₁	—	4	4	no	—
343	C₂²×C₁₁	—	4	16	no	—
344	C₂²×C₁₁	—	4	8	no	—
345	C₂²×C₁₁	—	4	4	no	—
346	C₂²×C₁₁	—	8	4	no	—
347	C₂²×C₁₁	—	8	8	no	—
348	C₂²×C₁₁	—	8	8	no	—
349	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
350	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
351	C₂²×C₁₁	C₂×C₄×D₄	1	2	yes	—
352	C₂²×C₁₁	C₂³×D₄	1	1	yes	characteristic
353	C₄×C₁₁	—	2	8	no	—
354	C₄×C₁₁	—	2	4	no	—
355	C₄×C₁₁	—	4	4	no	—
356	C₄×C₁₁	—	4	4	no	—
357	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
358	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
359	C₄×C₁₁	C₂×C₄×D₄	1	2	yes	—
360	C₄×C₁₁	C₂⁴×C₄	1	1	yes	characteristic
361	C₄×C₁₁	C₂²×#41	1	1	yes	characteristic
362	C₂⁵	—	2	1	no	—
363	C₂×#41	—	2	1	no	—
364	C₂×#41	—	2	1	no	—
365	C₂×#41	—	2	4	no	—
366	C₂×#41	C₂×C₄×C₁₁	1	8	yes	complemented
367	C₂×#41	C₂³×C₁₁	1	2	yes	—
368	C₂×#41	C₂³×C₁₁	1	2	yes	—
369	C₂²×Q₈	C₂³×C₁₁	1	1	yes	characteristic
370	C₂²×D₄	—	2	1	no	—
371	C₂²×D₄	—	2	1	no	—
372	C₂²×D₄	—	2	1	no	—
373	C₂²×D₄	—	2	1	no	—
374	C₂²×D₄	—	2	4	no	—
375	C₂²×D₄	C₂×C₄×C₁₁	1	8	yes	complemented
376	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
377	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
378	C₂²×D₄	C₂³×C₁₁	1	2	yes	—
379	C₂²×D₄	C₂³×C₁₁	1	1	yes	characteristic
380	C₂³×C₄	—	2	1	no	—
381	C₂³×C₄	—	2	4	no	—
382	C₂³×C₄	C₂³×C₁₁	1	1	yes	characteristic
383	AGL(1,ℤ/8)	C₂×C₄×C₁₁	1	32	yes	complemented
384	AGL(1,ℤ/8)	C₂×C₄×C₁₁	1	32	yes	complemented
385	C₂×SD₁₆	C₂×C₄×C₁₁	1	16	yes	complemented
386	C₂×SD₁₆	C₂³×C₁₁	1	8	yes	—
387	C₂×D₈	C₂×C₄×C₁₁	1	16	yes	complemented
388	C₂×D₈	C₂³×C₁₁	1	8	yes	—
389	C₂×M₁₆	—	2	4	no	—
390	C₂×M₁₆	C₂×C₄×C₁₁	1	8	yes	complemented
391	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
392	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
393	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
394	C₂×M₁₆	C₂³×C₁₁	1	2	yes	—
395	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
396	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
397	C₄×Q₈	—	2	4	no	—
398	C₄×Q₈	C₂³×C₁₁	1	8	yes	complemented
399	C₄×D₄	—	2	8	no	—
400	C₄×D₄	—	2	8	no	—
401	C₄×D₄	—	2	8	no	—
402	C₄×D₄	—	2	4	no	—
403	C₄×D₄	—	2	8	no	—
404	C₄×D₄	—	2	8	no	—
405	C₄×D₄	C₂³×C₁₁	1	16	yes	—
406	C₄×D₄	C₂³×C₁₁	1	8	yes	complemented
407	#117	—	2	1	no	—
408	#117	—	2	1	no	—
409	#117	—	2	1	no	—
410	#117	—	2	1	no	—
411	#117	—	2	4	no	—
412	#117	—	2	4	no	—
413	#117	—	2	4	no	—
414	#117	D₄×C₁₁	1	2	yes	—
415	#117	D₄×C₁₁	1	2	yes	—
416	#117	C₂³×C₁₁	1	2	yes	—
417	#117	C₂³×C₁₁	1	2	yes	—
418	#117	C₂³×C₁₁	1	2	yes	—
419	#117	C₂³×C₁₁	1	2	yes	—
420	#117	C₂³×C₁₁	1	2	yes	—
421	#117	C₂³×C₁₁	1	2	yes	—
422	C₂×C₄⋊C₄	—	2	4	no	—
423	C₂×C₄⋊C₄	D₄×C₁₁	1	2	yes	—
424	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
425	C₂×C₄⋊C₄	C₂³×C₁₁	1	2	yes	—
426	C₂×C₂²⋊C₄	—	2	1	no	—
427	C₂×C₂²⋊C₄	—	2	1	no	—
428	C₂×C₂²⋊C₄	—	2	4	no	—
429	C₂×C₂²⋊C₄	—	2	8	no	—
430	C₂×C₂²⋊C₄	—	2	8	no	—
431	C₂×C₂²⋊C₄	—	2	4	no	—
432	C₂×C₂²⋊C₄	D₄×C₁₁	1	2	yes	—
433	C₂×C₄²	—	2	1	no	—
434	C₂×C₄²	—	2	1	no	—
435	C₂×C₄²	—	2	4	no	—
436	C₂×C₄²	C₂³×C₁₁	1	2	yes	—
437	#107	C₂³×C₁₁	1	8	yes	complemented
438	#106	C₂³×C₁₁	1	8	yes	complemented
439	#103	C₂³×C₁₁	1	8	yes	complemented
440	#102	C₂³×C₁₁	1	16	yes	—
441	#102	C₂³×C₁₁	1	8	yes	complemented
442	#97	C₂³×C₁₁	1	8	yes	complemented
443	C₄×C₈	C₂³×C₁₁	1	8	yes	complemented
444	C₂×C₁₁	—	2	2	no	—
445	C₂×C₁₁	—	2	2	no	—
446	C₂×C₁₁	—	2	2	no	—
447	C₂×C₁₁	—	4	8	no	—
448	C₂×C₁₁	—	4	4	no	—
449	C₂×C₁₁	C₂²×C₄×D₄	1	1	yes	characteristic
450	C₂×C₁₁	#3585	1	2	yes	—
451	C₂⁴	—	2	2	no	—
452	C₂⁴	—	2	8	no	—
453	C₂⁴	—	2	1	no	—
454	C₂⁴	—	2	2	no	—
455	C₂⁴	—	2	2	no	—
456	C₂⁴	—	8	4	no	—
457	C₂⁴	C₂×D₄×C₁₁	1	1	yes	characteristic
458	#41	—	2	8	no	—
459	#41	—	2	8	no	—
460	#41	—	2	4	no	—
461	#41	—	2	4	no	—
462	#41	C₂²×C₄×C₁₁	1	8	yes	—
463	#41	C₂²×C₄×C₁₁	1	8	yes	complemented
464	C₂×Q₈	—	2	1	no	—
465	C₂×Q₈	—	2	2	no	—
466	C₂×Q₈	C₂²×C₄×C₁₁	1	4	yes	complemented
467	C₂×Q₈	C₂⁴×C₁₁	1	2	yes	—
468	C₂×D₄	—	2	8	no	—
469	C₂×D₄	—	2	2	no	—
470	C₂×D₄	—	2	2	no	—
471	C₂×D₄	—	2	8	no	—
472	C₂×D₄	—	2	8	no	—
473	C₂×D₄	—	2	8	no	—
474	C₂×D₄	—	2	2	no	—
475	C₂×D₄	—	2	2	no	—
476	C₂×D₄	—	2	2	no	—
477	C₂×D₄	—	2	1	no	—
478	C₂×D₄	—	2	4	no	—
479	C₂×D₄	—	2	4	no	—
480	C₂×D₄	—	2	4	no	—
481	C₂×D₄	—	2	2	no	—
482	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
483	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
484	C₂×D₄	C₂²×C₄×C₁₁	1	8	yes	—
485	C₂×D₄	C₂²×C₄×C₁₁	1	4	yes	complemented
486	C₂×D₄	C₂⁴×C₁₁	1	4	yes	—
487	C₂×D₄	C₂⁴×C₁₁	1	2	yes	—
488	C₂²×C₄	—	2	1	no	—
489	C₂²×C₄	—	2	8	no	—
490	C₂²×C₄	—	2	2	no	—
491	C₂²×C₄	—	2	2	no	—
492	C₂²×C₄	—	2	2	no	—
493	C₂²×C₄	—	2	2	no	—
494	C₂²×C₄	—	2	8	no	—
495	C₂²×C₄	—	2	16	no	—
496	C₂²×C₄	—	8	8	no	—
497	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
498	C₂²×C₄	C₂×D₄×C₁₁	1	4	yes	—
499	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
500	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
501	C₂²×C₄	C₂×D₄×C₁₁	1	1	yes	characteristic
502	C₂²×C₄	C₁₁×#41	1	4	yes	—
503	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
504	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
505	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
506	SD₁₆	C₂²×C₄×C₁₁	1	32	yes	complemented
507	D₈	C₂²×C₄×C₁₁	1	32	yes	complemented
508	M₁₆	—	2	4	no	—
509	M₁₆	—	2	4	no	—
510	M₁₆	C₂²×C₄×C₁₁	1	8	yes	—
511	M₁₆	C₂²×C₄×C₁₁	1	8	yes	complemented
512	C₂×C₈	—	2	4	no	—
513	C₂×C₈	C₂²×C₄×C₁₁	1	8	yes	complemented
514	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
515	C₂×C₈	C₂⁴×C₁₁	1	4	yes	—
516	C₄⋊C₄	—	2	2	no	—
517	C₄⋊C₄	—	2	8	no	—
518	C₄⋊C₄	—	2	2	no	—
519	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
520	C₄⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
521	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
522	C₄⋊C₄	C₂⁴×C₁₁	1	4	yes	—
523	C₂²⋊C₄	—	2	2	no	—
524	C₂²⋊C₄	—	2	2	no	—
525	C₂²⋊C₄	—	2	2	no	—
526	C₂²⋊C₄	—	2	2	no	—
527	C₂²⋊C₄	—	2	16	no	—
528	C₂²⋊C₄	—	2	8	no	—
529	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
530	C₂²⋊C₄	C₂×D₄×C₁₁	1	4	yes	—
531	C₄²	—	2	2	no	—
532	C₄²	—	2	8	no	—
533	C₄²	—	2	2	no	—
534	C₄²	—	2	2	no	—
535	C₄²	—	2	2	no	—
536	C₄²	C₂×D₄×C₁₁	1	4	yes	—
537	C₄²	C₂⁴×C₁₁	1	4	yes	—
538	C₁₁	#60168	1	1	yes	characteristic, direct product factor, Sylow
539	C₂³	—	2	8	no	—
540	C₂³	—	2	2	no	—
541	C₂³	—	2	4	no	—
542	C₂³	—	2	4	no	—
543	C₂³	—	2	8	no	—
544	C₂³	—	2	8	no	—
545	C₂³	—	4	2	no	—
546	C₂³	—	4	8	no	—
547	C₂³	—	8	2	no	—
548	C₂³	—	8	4	no	—
549	C₂³	—	8	4	no	—
550	C₂³	—	8	16	no	—
551	C₂³	C₄×D₄×C₁₁	1	4	yes	—
552	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
553	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
554	C₂³	C₂²×D₄×C₁₁	1	1	yes	characteristic
555	Q₈	—	2	4	no	—
556	Q₈	—	2	2	no	—
557	Q₈	C₂³×C₄×C₁₁	1	4	yes	—
558	D₄	—	2	8	no	—
559	D₄	—	2	8	no	—
560	D₄	—	2	8	no	—
561	D₄	—	2	8	no	—
562	D₄	—	2	8	no	—
563	D₄	—	2	4	no	—
564	D₄	—	2	4	no	—
565	D₄	—	2	2	no	—
566	D₄	C₂³×C₄×C₁₁	1	4	yes	—
567	D₄	C₂³×C₄×C₁₁	1	8	yes	—
568	C₂×C₄	—	2	4	no	—
569	C₂×C₄	—	2	2	no	—
570	C₂×C₄	—	2	8	no	—
571	C₂×C₄	—	2	8	no	—
572	C₂×C₄	—	2	4	no	—
573	C₂×C₄	—	2	4	no	—
574	C₂×C₄	—	4	4	no	—
575	C₂×C₄	—	4	4	no	—
576	C₂×C₄	—	8	8	no	—
577	C₂×C₄	—	8	16	no	—
578	C₂×C₄	—	8	2	no	—
579	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
580	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
581	C₂×C₄	C₄×D₄×C₁₁	1	4	yes	—
582	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
583	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
584	C₂×C₄	C₂³×C₄×C₁₁	1	2	yes	—
585	C₂×C₄	C₂²×D₄×C₁₁	1	8	yes	—
586	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
587	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
588	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
589	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
590	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
591	C₂×C₄	C₂×C₁₁×#41	1	2	yes	—
592	C₂×C₄	C₂⁵×C₁₁	1	1	yes	characteristic
593	C₈	—	2	4	no	—
594	C₈	C₂³×C₄×C₁₁	1	8	yes	—
595	C₂²	—	2	2	no	—
596	C₂²	—	2	2	no	—
597	C₂²	—	2	2	no	—
598	C₂²	—	2	4	no	—
599	C₂²	—	2	8	no	—
600	C₂²	—	4	4	no	—
601	C₂²	—	4	16	no	—
602	C₂²	—	4	8	no	—
603	C₂²	—	4	4	no	—
604	C₂²	—	8	8	no	—
605	C₂²	—	8	8	no	—
606	C₂²	—	8	4	no	—
607	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
608	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
609	C₂²	C₂×C₄×D₄×C₁₁	1	2	yes	—
610	C₂²	C₂³×D₄×C₁₁	1	1	yes	characteristic
611	C₄	—	2	4	no	—
612	C₄	—	2	8	no	—
613	C₄	—	4	4	no	—
614	C₄	—	4	4	no	—
615	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
616	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
617	C₄	C₂×C₄×D₄×C₁₁	1	2	yes	—
618	C₄	C₂⁴×C₄×C₁₁	1	1	yes	characteristic
619	C₄	C₂²×C₁₁×#41	1	1	yes	characteristic
620	C₂	—	2	2	no	—
621	C₂	—	2	2	no	—
622	C₂	—	2	2	no	—
623	C₂	—	4	8	no	—
624	C₂	—	4	4	no	—
625	C₂	C₂²×C₄×D₄×C₁₁	1	1	yes	characteristic
626	C₂	C₁₁×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²×C₁₁	C₂³×D₄
commutator	C₄	C₂⁴×C₄×C₁₁
Frattini, cosocle	C₂×C₄	C₂⁵×C₁₁
prime radical	C₂²×C₁₁×AGL(1,ℤ/8)	C₂
LCS	G ▷ C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₁₁ ◁ C₂×C₁₁×#117 ◁ G

Complements

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

N	H ≅ G/N	type
2. C₁₁×#3428	C₂	semidirect
3. C₂×C₁₁×#518	C₂	semidirect
4. C₁₁×#2949	C₂	semidirect
5. C₁₁×#2948	C₂	semidirect
6. C₁₁×#2946	C₂	semidirect
7. C₄×C₁₁×AGL(1,ℤ/8)	C₂	semidirect
8. C₁₁×#2911	C₂	semidirect
9. C₁₁×#2896	C₂	semidirect
10. C₂×C₁₁×#418	C₂	semidirect
11. C₁₁×#2873	C₂	semidirect
14. C₂×C₁₁×AGL(1,ℤ/8)	C₄	semidirect
22. C₁₁×#520	C₂²	semidirect
23. C₁₁×#519	C₂²	semidirect
28. C₁₁×#518	C₂²	semidirect
29. C₁₁×#518	C₂²	semidirect
31. C₄×C₁₁×#41	C₂²	semidirect
33. C₂×C₄×D₄×C₁₁	C₂²	semidirect
39. C₁₁×#442	C₂²	semidirect
40. C₁₁×#440	C₂²	semidirect
41. C₄×C₁₁×SD₁₆	C₂²	semidirect
42. C₄×C₁₁×D₈	C₂²	semidirect
43. C₁₁×#428	C₂²	semidirect
44. C₁₁×#428	C₂²	semidirect
45. C₁₁×#427	C₂²	semidirect
46. C₁₁×#419	C₂²	semidirect
48. C₁₁×#418	C₂²	semidirect
49. C₁₁×#418	C₂²	semidirect
50. C₁₁×#417	C₂²	semidirect
51. C₁₁×#416	C₂²	semidirect
52. C₂×C₁₁×#102	C₂²	semidirect
53. C₁₁×#405	C₂²	semidirect
54. C₁₁×#405	C₂²	semidirect
55. C₄×C₁₁×M₁₆	C₂²	semidirect
60. C₂×C₁₁×#41	C₂×C₄	semidirect
69. C₂²×D₄×C₁₁	C₂×C₄	semidirect
77. C₁₁×AGL(1,ℤ/8)	C₂×C₄	semidirect
78. C₁₁×AGL(1,ℤ/8)	C₂×C₄	semidirect
79. C₂×C₁₁×SD₁₆	C₂×C₄	semidirect
81. C₂×C₁₁×D₈	C₂×C₄	semidirect
84. C₂×C₁₁×M₁₆	C₂×C₄	semidirect
92. C₄×Q₈×C₁₁	C₂³	semidirect
100. C₄×D₄×C₁₁	C₂³	semidirect
131. C₁₁×#107	C₂³	semidirect
132. C₁₁×#106	C₂³	semidirect
133. C₁₁×#103	C₂³	semidirect
135. C₁₁×#102	C₂³	semidirect
136. C₁₁×#97	C₂³	semidirect
137. C₄×C₈×C₁₁	C₂³	semidirect
138. #60168	C₁₁	direct (N × H)
151. C₁₁×#41	C₂²×C₄	semidirect
154. C₂×Q₈×C₁₁	C₂²×C₄	semidirect
173. C₂×D₄×C₁₁	C₂²×C₄	semidirect
194. C₁₁×SD₁₆	C₂²×C₄	semidirect
195. C₁₁×D₈	C₂²×C₄	semidirect
199. C₁₁×M₁₆	C₂²×C₄	semidirect
201. C₂×C₈×C₁₁	C₂²×C₄	semidirect
227. #3428	C₂×C₁₁	semidirect
228. C₂×#518	C₂×C₁₁	semidirect
229. #2949	C₂×C₁₁	semidirect
230. #2948	C₂×C₁₁	semidirect
231. #2946	C₂×C₁₁	semidirect
232. C₄×AGL(1,ℤ/8)	C₂×C₁₁	semidirect
233. #2911	C₂×C₁₁	semidirect
234. #2896	C₂×C₁₁	semidirect
235. C₂×#418	C₂×C₁₁	semidirect
236. #2873	C₂×C₁₁	semidirect
295. C₂×AGL(1,ℤ/8)	C₄×C₁₁	semidirect
303. #520	C₂²×C₁₁	semidirect
304. #519	C₂²×C₁₁	semidirect
309. #518	C₂²×C₁₁	semidirect
310. #518	C₂²×C₁₁	semidirect
312. C₄×#41	C₂²×C₁₁	semidirect
314. C₂×C₄×D₄	C₂²×C₁₁	semidirect
320. #442	C₂²×C₁₁	semidirect
321. #440	C₂²×C₁₁	semidirect
322. C₄×SD₁₆	C₂²×C₁₁	semidirect
323. C₄×D₈	C₂²×C₁₁	semidirect
324. #428	C₂²×C₁₁	semidirect
325. #428	C₂²×C₁₁	semidirect
326. #427	C₂²×C₁₁	semidirect
327. #419	C₂²×C₁₁	semidirect
329. #418	C₂²×C₁₁	semidirect
330. #418	C₂²×C₁₁	semidirect
331. #417	C₂²×C₁₁	semidirect
332. #416	C₂²×C₁₁	semidirect
333. C₂×#102	C₂²×C₁₁	semidirect
334. #405	C₂²×C₁₁	semidirect
335. #405	C₂²×C₁₁	semidirect
336. C₄×M₁₆	C₂²×C₁₁	semidirect
366. C₂×#41	C₂×C₄×C₁₁	semidirect
375. C₂²×D₄	C₂×C₄×C₁₁	semidirect
383. AGL(1,ℤ/8)	C₂×C₄×C₁₁	semidirect
384. AGL(1,ℤ/8)	C₂×C₄×C₁₁	semidirect
385. C₂×SD₁₆	C₂×C₄×C₁₁	semidirect
387. C₂×D₈	C₂×C₄×C₁₁	semidirect
390. C₂×M₁₆	C₂×C₄×C₁₁	semidirect
398. C₄×Q₈	C₂³×C₁₁	semidirect
406. C₄×D₄	C₂³×C₁₁	semidirect
437. #107	C₂³×C₁₁	semidirect
438. #106	C₂³×C₁₁	semidirect
439. #103	C₂³×C₁₁	semidirect
441. #102	C₂³×C₁₁	semidirect
442. #97	C₂³×C₁₁	semidirect
443. C₄×C₈	C₂³×C₁₁	semidirect
463. #41	C₂²×C₄×C₁₁	semidirect
466. C₂×Q₈	C₂²×C₄×C₁₁	semidirect
485. C₂×D₄	C₂²×C₄×C₁₁	semidirect
506. SD₁₆	C₂²×C₄×C₁₁	semidirect
507. D₈	C₂²×C₄×C₁₁	semidirect
511. M₁₆	C₂²×C₄×C₁₁	semidirect
513. C₂×C₈	C₂²×C₄×C₁₁	semidirect
538. C₁₁	#60168	direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂²×C₁₁×AGL(1,ℤ/8)	2
C₁₁×#3428	2
C₂×C₁₁×#518	2
C₁₁×#2949	2
C₁₁×#2948	2
C₁₁×#2946	2
C₄×C₁₁×AGL(1,ℤ/8)	2
C₁₁×#2911	2
C₁₁×#2896	2
C₂×C₁₁×#418	2
C₁₁×#2873	2
#60168	11

Subgroups — C11×#60168 #14637361

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#60168 #14637361