Subgroups — C₁₁×#23153 #14600346

Order 2816.

772 conjugacy classes of subgroups.

The subgroup lattice has 336 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₁₁×#446	C₂	1	2	yes	maximal
2	C₄×C₁₁×C₄⋊Q₈	C₂	1	1	yes	maximal, characteristic
3	C₁₁×#1984	C₂	1	2	yes	maximal
4	C₁₁×#1939	C₂	1	2	yes	maximal
5	C₁₁×#1917	C₂	1	4	yes	maximal
6	C₁₁×#1770	C₂	1	2	yes	maximal
7	C₄×C₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
8	C₄×C₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
9	C₂×C₁₁×C₄⋊Q₈	C₄	1	1	yes	characteristic
10	C₂×C₄×Q₈×C₁₁	C₂²	1	2	yes	—
11	C₁₁×#446	—	2	8	no	—
12	C₂×C₁₁×C₄⋊C₈	C₂²	1	4	yes	—
13	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
16	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
17	C₂×C₁₁×#97	C₂²	1	4	yes	—
18	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
19	C₂×C₄×C₈×C₁₁	C₂²	1	2	yes	—
20	C₁₁×#391	C₄	1	2	yes	—
21	C₁₁×#389	C₄	1	2	yes	—
22	C₁₁×#389	C₄	1	2	yes	—
23	C₁₁×#384	C₄	1	1	yes	characteristic
24	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
25	C₄×C₁₁×C₄⋊C₄	C₂²	1	2	yes	—
26	C₄³×C₁₁	C₂²	1	1	yes	characteristic
27	C₁₁×#336	C₂²	1	2	yes	—
28	C₁₁×#336	C₂²	1	2	yes	—
29	C₁₁×#336	C₂²	1	4	yes	—
30	C₁₁×#336	C₂²	1	4	yes	—
31	C₂²×Q₈×C₁₁	C₂×C₄	1	2	yes	—
32	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
33	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
34	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
35	C₂²×C₈×C₁₁	C₂³	1	2	yes	—
36	C₁₁×C₄⋊Q₈	—	2	4	no	—
37	C₄×Q₈×C₁₁	—	2	4	no	—
38	C₄×Q₈×C₁₁	—	2	4	no	—
39	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
40	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
41	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
42	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
43	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	4	yes	—
44	C₂×C₁₁×C₄⋊C₄	C₂×C₄	1	2	yes	—
45	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
46	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
47	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
48	C₂×C₄²×C₁₁	C₂×C₄	1	1	yes	characteristic
49	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
50	C₂×C₄²×C₁₁	C₂³	1	4	yes	—
51	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
52	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
53	C₁₁×C₄⋊C₈	—	2	8	no	—
54	C₁₁×C₄⋊C₈	—	2	2	no	—
55	C₁₁×C₄⋊C₈	—	2	2	no	—
56	C₁₁×C₄⋊C₈	D₄	1	4	yes	—
57	C₁₁×C₄⋊C₈	Q₈	1	4	yes	complemented
58	C₁₁×#97	—	2	8	no	—
59	C₄×C₈×C₁₁	—	2	4	no	—
60	C₄×C₈×C₁₁	—	2	4	no	—
61	C₁₁×#95	C₂×C₄	1	4	yes	—
62	C₁₁×#95	C₂×C₄	1	4	yes	—
63	#23153	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
64	C₂×Q₈×C₁₁	—	2	4	no	—
65	C₂×Q₈×C₁₁	—	2	4	no	—
66	C₂×Q₈×C₁₁	—	2	4	no	—
67	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
68	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
69	C₂²×C₄×C₁₁	C₂²×C₄	1	4	yes	—
70	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
71	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
72	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
73	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
74	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
75	C₂²×C₄×C₁₁	C₂⁴	1	1	yes	characteristic
76	C₂×C₈×C₁₁	—	2	2	no	—
77	C₂×C₈×C₁₁	—	2	2	no	—
78	C₂×C₈×C₁₁	—	2	2	no	—
79	C₂×C₈×C₁₁	—	2	2	no	—
80	C₂×C₈×C₁₁	—	2	2	no	—
81	C₂×C₈×C₁₁	—	2	2	no	—
82	C₂×C₈×C₁₁	—	2	2	no	—
83	C₂×C₈×C₁₁	—	2	2	no	—
84	C₂×C₈×C₁₁	—	2	2	no	—
85	C₂×C₈×C₁₁	—	2	2	no	—
86	C₂×C₈×C₁₁	C₂×D₄	1	4	yes	—
87	C₂×C₈×C₁₁	C₂×Q₈	1	4	yes	—
88	C₁₁×C₄⋊C₄	—	2	4	no	—
89	C₁₁×C₄⋊C₄	—	2	8	no	—
90	C₁₁×C₄⋊C₄	—	2	4	no	—
91	C₁₁×C₄⋊C₄	—	2	4	no	—
92	C₁₁×C₄⋊C₄	—	2	4	no	—
93	C₁₁×C₄⋊C₄	—	4	2	no	—
94	C₄²×C₁₁	—	2	2	no	—
95	C₄²×C₁₁	—	2	2	no	—
96	C₄²×C₁₁	—	2	4	no	—
97	C₄²×C₁₁	—	2	4	no	—
98	C₄²×C₁₁	—	2	1	no	—
99	C₄²×C₁₁	—	2	1	no	—
100	C₄²×C₁₁	—	4	1	no	—
101	C₄²×C₁₁	M₁₆	1	4	yes	—
102	C₄²×C₁₁	C₂×D₄	1	2	yes	—
103	C₄²×C₁₁	C₂×Q₈	1	2	yes	—
104	C₄²×C₁₁	#41	1	2	yes	—
105	C₄²×C₁₁	#41	1	2	yes	—
106	C₂×#446	C₂×C₁₁	1	2	yes	—
107	C₄×C₄⋊Q₈	C₂×C₁₁	1	1	yes	characteristic
108	#1984	C₂×C₁₁	1	2	yes	—
109	#1939	C₂×C₁₁	1	2	yes	—
110	#1917	C₂×C₁₁	1	4	yes	—
111	#1770	C₂×C₁₁	1	2	yes	—
112	C₄×C₄⋊C₈	C₂×C₁₁	1	1	yes	characteristic
113	C₄×C₄⋊C₈	C₂×C₁₁	1	1	yes	characteristic
114	C₂³×C₁₁	C₂³×C₄	1	1	yes	characteristic
115	Q₈×C₁₁	—	4	8	no	—
116	C₂×C₄×C₁₁	—	2	1	no	—
117	C₂×C₄×C₁₁	—	2	1	no	—
118	C₂×C₄×C₁₁	—	2	1	no	—
119	C₂×C₄×C₁₁	—	2	1	no	—
120	C₂×C₄×C₁₁	—	2	1	no	—
121	C₂×C₄×C₁₁	—	2	1	no	—
122	C₂×C₄×C₁₁	—	2	4	no	—
123	C₂×C₄×C₁₁	—	2	4	no	—
124	C₂×C₄×C₁₁	—	2	1	no	—
125	C₂×C₄×C₁₁	—	2	4	no	—
126	C₂×C₄×C₁₁	—	2	1	no	—
127	C₂×C₄×C₁₁	—	2	1	no	—
128	C₂×C₄×C₁₁	—	2	4	no	—
129	C₂×C₄×C₁₁	—	2	4	no	—
130	C₂×C₄×C₁₁	—	2	4	no	—
131	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
132	C₂×C₄×C₁₁	C₄×D₄	1	2	yes	—
133	C₂×C₄×C₁₁	C₄×Q₈	1	2	yes	—
134	C₂×C₄×C₁₁	C₄×Q₈	1	2	yes	—
135	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
136	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
137	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
138	C₂×C₄×C₁₁	#131	1	2	yes	—
139	C₂×C₄×C₁₁	#131	1	2	yes	—
140	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
141	C₂×C₄×C₁₁	C₂²×Q₈	1	1	yes	characteristic
142	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
143	C₂×C₄×C₁₁	C₂×#41	1	1	yes	characteristic
144	C₂×C₄×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
145	C₂×C₄×C₁₁	2₋¹⁺⁴	1	1	yes	characteristic
146	C₈×C₁₁	—	2	4	no	—
147	C₈×C₁₁	—	2	4	no	—
148	C₈×C₁₁	—	4	2	no	—
149	C₈×C₁₁	—	4	2	no	—
150	C₂×C₄⋊Q₈	C₄×C₁₁	1	1	yes	characteristic
151	C₂×C₄×Q₈	C₂²×C₁₁	1	2	yes	—
152	#446	—	2	8	no	—
153	C₂×C₄⋊C₈	C₂²×C₁₁	1	4	yes	—
154	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
155	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
156	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
157	C₂×C₄⋊C₈	C₂²×C₁₁	1	1	yes	characteristic
158	C₂×#97	C₂²×C₁₁	1	4	yes	—
159	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
160	C₂×C₄×C₈	C₂²×C₁₁	1	2	yes	—
161	#391	C₄×C₁₁	1	2	yes	—
162	#389	C₄×C₁₁	1	2	yes	—
163	#389	C₄×C₁₁	1	2	yes	—
164	#384	C₄×C₁₁	1	1	yes	characteristic
165	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
166	C₄×C₄⋊C₄	C₂²×C₁₁	1	2	yes	—
167	C₄³	C₂²×C₁₁	1	1	yes	characteristic
168	#336	C₂²×C₁₁	1	2	yes	—
169	#336	C₂²×C₁₁	1	2	yes	—
170	#336	C₂²×C₁₁	1	4	yes	—
171	#336	C₂²×C₁₁	1	4	yes	—
172	C₂²×C₁₁	C₂×C₄×D₄	1	1	yes	characteristic
173	C₂²×C₁₁	C₂×C₄×Q₈	1	1	yes	characteristic
174	C₂²×C₁₁	#519	1	1	yes	characteristic
175	C₂²×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
176	C₂²×C₁₁	C₂×#131	1	1	yes	characteristic
177	C₂²×C₁₁	C₂×#131	1	1	yes	characteristic
178	C₂²×C₁₁	#568	1	1	yes	characteristic
179	C₄×C₁₁	—	2	2	no	—
180	C₄×C₁₁	—	2	2	no	—
181	C₄×C₁₁	—	2	2	no	—
182	C₄×C₁₁	—	4	4	no	—
183	C₄×C₁₁	—	4	4	no	—
184	C₄×C₁₁	—	4	1	no	—
185	C₄×C₁₁	#436	1	4	yes	—
186	C₄×C₁₁	#446	1	4	yes	complemented
187	C₄×C₁₁	#547	1	1	yes	characteristic
188	C₄×C₁₁	D₄×Q₈	1	1	yes	characteristic
189	C₄×C₁₁	#556	1	1	yes	characteristic
190	C₄×C₁₁	#557	1	1	yes	characteristic
191	C₂²×Q₈	C₂×C₄×C₁₁	1	2	yes	—
192	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
193	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
194	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
195	C₂²×C₈	C₂³×C₁₁	1	2	yes	—
196	C₄⋊Q₈	—	2	4	no	—
197	C₄×Q₈	—	2	4	no	—
198	C₄×Q₈	—	2	4	no	—
199	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
200	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	4	yes	—
201	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
202	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
203	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
204	C₂×C₄⋊C₄	C₂×C₄×C₁₁	1	2	yes	—
205	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
206	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
207	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
208	C₂×C₄²	C₂×C₄×C₁₁	1	1	yes	characteristic
209	C₂×C₄²	C₂³×C₁₁	1	4	yes	—
210	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
211	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
212	C₂×C₄²	C₂³×C₁₁	1	1	yes	characteristic
213	C₄⋊C₈	—	2	8	no	—
214	C₄⋊C₈	—	2	2	no	—
215	C₄⋊C₈	—	2	2	no	—
216	C₄⋊C₈	D₄×C₁₁	1	4	yes	—
217	C₄⋊C₈	Q₈×C₁₁	1	4	yes	complemented
218	#97	—	2	8	no	—
219	C₄×C₈	—	2	4	no	—
220	C₄×C₈	—	2	4	no	—
221	#95	C₂×C₄×C₁₁	1	4	yes	—
222	#95	C₂×C₄×C₁₁	1	4	yes	—
223	C₂×C₁₁	#2365	1	1	yes	characteristic
224	C₂×C₁₁	C₂×#436	1	1	yes	characteristic
225	C₂×C₁₁	#2935	1	1	yes	characteristic
226	C₂×C₁₁	C₂×#446	1	1	yes	characteristic
227	C₂×C₁₁	#2962	1	1	yes	characteristic
228	C₂×C₁₁	#2983	1	1	yes	characteristic
229	C₂×C₁₁	#2986	1	1	yes	characteristic
230	C₂×Q₈	—	2	4	no	—
231	C₂×Q₈	—	2	4	no	—
232	C₂×Q₈	—	2	4	no	—
233	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
234	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
235	C₂²×C₄	C₂²×C₄×C₁₁	1	4	yes	—
236	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
237	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
238	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
239	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
240	C₂²×C₄	C₂²×C₄×C₁₁	1	1	yes	characteristic
241	C₂²×C₄	C₂⁴×C₁₁	1	1	yes	characteristic
242	C₂×C₈	—	2	2	no	—
243	C₂×C₈	—	2	2	no	—
244	C₂×C₈	—	2	2	no	—
245	C₂×C₈	—	2	2	no	—
246	C₂×C₈	—	2	2	no	—
247	C₂×C₈	—	2	2	no	—
248	C₂×C₈	—	2	2	no	—
249	C₂×C₈	—	2	2	no	—
250	C₂×C₈	—	2	2	no	—
251	C₂×C₈	—	2	2	no	—
252	C₂×C₈	C₂×D₄×C₁₁	1	4	yes	—
253	C₂×C₈	C₂×Q₈×C₁₁	1	4	yes	—
254	C₄⋊C₄	—	2	4	no	—
255	C₄⋊C₄	—	2	8	no	—
256	C₄⋊C₄	—	2	4	no	—
257	C₄⋊C₄	—	2	4	no	—
258	C₄⋊C₄	—	2	4	no	—
259	C₄⋊C₄	—	4	2	no	—
260	C₄²	—	2	2	no	—
261	C₄²	—	2	2	no	—
262	C₄²	—	2	4	no	—
263	C₄²	—	2	4	no	—
264	C₄²	—	2	1	no	—
265	C₄²	—	2	1	no	—
266	C₄²	—	4	1	no	—
267	C₄²	C₁₁×M₁₆	1	4	yes	—
268	C₄²	C₂×D₄×C₁₁	1	2	yes	—
269	C₄²	C₂×Q₈×C₁₁	1	2	yes	—
270	C₄²	C₁₁×#41	1	2	yes	—
271	C₄²	C₁₁×#41	1	2	yes	—
272	C₁₁	#23153	1	1	yes	characteristic, direct product factor, Sylow
273	C₂³	C₂³×C₄×C₁₁	1	1	yes	characteristic
274	Q₈	—	4	8	no	—
275	C₂×C₄	—	2	1	no	—
276	C₂×C₄	—	2	1	no	—
277	C₂×C₄	—	2	1	no	—
278	C₂×C₄	—	2	1	no	—
279	C₂×C₄	—	2	1	no	—
280	C₂×C₄	—	2	1	no	—
281	C₂×C₄	—	2	4	no	—
282	C₂×C₄	—	2	4	no	—
283	C₂×C₄	—	2	1	no	—
284	C₂×C₄	—	2	4	no	—
285	C₂×C₄	—	2	1	no	—
286	C₂×C₄	—	2	1	no	—
287	C₂×C₄	—	2	4	no	—
288	C₂×C₄	—	2	4	no	—
289	C₂×C₄	—	2	4	no	—
290	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
291	C₂×C₄	C₄×D₄×C₁₁	1	2	yes	—
292	C₂×C₄	C₄×Q₈×C₁₁	1	2	yes	—
293	C₂×C₄	C₄×Q₈×C₁₁	1	2	yes	—
294	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
295	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
296	C₂×C₄	C₂×C₁₁×M₁₆	1	2	yes	—
297	C₂×C₄	C₁₁×#131	1	2	yes	—
298	C₂×C₄	C₁₁×#131	1	2	yes	—
299	C₂×C₄	C₂²×D₄×C₁₁	1	1	yes	characteristic
300	C₂×C₄	C₂²×Q₈×C₁₁	1	1	yes	characteristic
301	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
302	C₂×C₄	C₂×C₁₁×#41	1	1	yes	characteristic
303	C₂×C₄	C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
304	C₂×C₄	C₁₁×2₋¹⁺⁴	1	1	yes	characteristic
305	C₈	—	2	4	no	—
306	C₈	—	2	4	no	—
307	C₈	—	4	2	no	—
308	C₈	—	4	2	no	—
309	C₂²	C₂×C₄×D₄×C₁₁	1	1	yes	characteristic
310	C₂²	C₂×C₄×Q₈×C₁₁	1	1	yes	characteristic
311	C₂²	C₁₁×#519	1	1	yes	characteristic
312	C₂²	C₂²×C₁₁×M₁₆	1	1	yes	characteristic
313	C₂²	C₂×C₁₁×#131	1	1	yes	characteristic
314	C₂²	C₂×C₁₁×#131	1	1	yes	characteristic
315	C₂²	C₁₁×#568	1	1	yes	characteristic
316	C₄	—	2	2	no	—
317	C₄	—	2	2	no	—
318	C₄	—	2	2	no	—
319	C₄	—	4	4	no	—
320	C₄	—	4	4	no	—
321	C₄	—	4	1	no	—
322	C₄	C₁₁×#436	1	4	yes	—
323	C₄	C₁₁×#446	1	4	yes	complemented
324	C₄	C₁₁×#547	1	1	yes	characteristic
325	C₄	D₄×Q₈×C₁₁	1	1	yes	characteristic
326	C₄	C₁₁×#556	1	1	yes	characteristic
327	C₄	C₁₁×#557	1	1	yes	characteristic
328	C₂	C₁₁×#2365	1	1	yes	characteristic
329	C₂	C₂×C₁₁×#436	1	1	yes	characteristic
330	C₂	C₁₁×#2935	1	1	yes	characteristic
331	C₂	C₂×C₁₁×#446	1	1	yes	characteristic
332	C₂	C₁₁×#2962	1	1	yes	characteristic
333	C₂	C₁₁×#2983	1	1	yes	characteristic
334	C₂	C₁₁×#2986	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄×C₁₁	C₂⁴
commutator	C₂³	C₂³×C₄×C₁₁
Frattini, cosocle	C₂²×C₄	C₂⁴×C₁₁
socle, prime radical	C₂³×C₁₁	C₂³×C₄
LCS	G ▷ C₂³ ▷ C₁
UCS	C₁ ◁ C₂²×C₄×C₁₁ ◁ G

Complements

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

N	H ≅ G/N	type
57. C₁₁×C₄⋊C₈	Q₈	semidirect
63. #23153	C₁₁	direct (N × H)
186. C₄×C₁₁	#446	semidirect
217. C₄⋊C₈	Q₈×C₁₁	semidirect
272. C₁₁	#23153	direct (N × H)
323. C₄	C₁₁×#446	semidirect

Maximal subgroups

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

subgroup	index
C₂×C₁₁×#446	2
C₄×C₁₁×C₄⋊Q₈	2
C₁₁×#1984	2
C₁₁×#1939	2
C₁₁×#1917	2
C₁₁×#1770	2
C₄×C₁₁×C₄⋊C₈	2
#23153	11

Subgroups — C11×#23153 #14600346

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₁×#23153 #14600346