Subgroups — C₂×#13067367 #14722751

Order 2816.

834 conjugacy classes of subgroups.

The subgroup lattice has 372 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#10622446	C₂	1	1	yes	maximal, characteristic
2	C₂×D₁₁×C₄⋊C₈	C₂	1	1	yes	maximal, characteristic
3	C₂×C₄×#4313	C₂	1	1	yes	maximal, characteristic
4	#13067367	C₂	1	8	yes	maximal, direct product factor
5	C₂×#10622117	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#10622095	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#10622118	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×C₁₁×#335	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂²×#4313	C₄	1	1	yes	characteristic
10	C₂²×#4313	C₄	1	1	yes	characteristic
11	C₂²×C₈×D₁₁	—	2	1	no	—
12	C₂×C₄²×D₁₁	C₂²	1	1	yes	characteristic
13	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
14	C₂×C₁₁×C₄⋊C₈	C₂²	1	1	yes	characteristic
15	C₂×C₄×C₈×C₁₁	C₂²	1	1	yes	characteristic
16	C₂×(C₂×D₁₁)⋊C₈	—	2	1	no	—
17	C₂×#66879	C₄	1	1	yes	characteristic
18	C₂×#66879	C₄	1	1	yes	characteristic
19	C₂×Dic₁₁⋊C₈	—	2	1	no	—
20	C₂×C₈×Dic₁₁	—	2	1	no	—
21	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
22	C₂×C₄⋊(C₁₁⋊C₈)	C₂²	1	1	yes	characteristic
23	C₂×C₄×C₁₁⋊C₈	C₂²	1	1	yes	characteristic
24	#10622446	—	2	2	no	—
25	#10622446	C₂²	1	4	yes	—
26	D₁₁×C₄⋊C₈	—	2	2	no	—
27	D₁₁×C₄⋊C₈	C₂²	1	4	yes	—
28	C₄×#4313	C₄	1	4	yes	—
29	C₄×#4313	C₂²	1	4	yes	—
30	C₁₁×#335	C₂²	1	4	yes	complemented
31	#10622118	C₂²	1	4	yes	complemented
32	#10622117	C₂²	1	4	yes	complemented
33	#10622095	C₂²	1	4	yes	complemented
34	C₂²×C₄×D₁₁	C₂×C₄	1	1	yes	characteristic
35	C₂²×C₄×D₁₁	D₄	1	1	yes	characteristic
36	C₂²×C₄×D₁₁	Q₈	1	1	yes	characteristic
37	C₂²×C₈×C₁₁	—	2	1	no	—
38	C₂²×C₈×C₁₁	—	2	1	no	—
39	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
40	C₂²×C₈×C₁₁	C₂×C₄	1	1	yes	characteristic
41	C₂×C₄²×C₁₁	C₂³	1	1	yes	characteristic
42	C₂×C₄×Dic₁₁	C₂×C₄	1	1	yes	characteristic
43	C₂×C₄×Dic₁₁	D₄	1	1	yes	characteristic
44	C₂×C₄×Dic₁₁	Q₈	1	1	yes	characteristic
45	C₂²×C₁₁⋊C₈	—	2	1	no	—
46	C₂²×C₁₁⋊C₈	—	2	1	no	—
47	C₂²×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
48	C₂²×C₁₁⋊C₈	C₂×C₄	1	1	yes	characteristic
49	C₂×#4313	—	2	4	no	—
50	C₂×#4313	C₈	1	8	yes	complemented
51	C₂×#4313	C₂×C₄	1	4	yes	—
52	C₂×#4313	C₂×C₄	1	4	yes	—
53	C₂×C₈×D₁₁	—	2	4	no	—
54	C₂×C₈×D₁₁	—	4	4	no	—
55	C₄²×D₁₁	C₂×C₄	1	2	yes	—
56	C₄²×D₁₁	D₄	1	2	yes	—
57	C₄²×D₁₁	Q₈	1	2	yes	—
58	C₄²×D₁₁	C₂³	1	2	yes	—
59	C₁₁×C₄⋊C₈	—	2	1	no	—
60	C₁₁×C₄⋊C₈	—	2	1	no	—
61	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
62	C₁₁×C₄⋊C₈	C₂³	1	2	yes	—
63	C₄×C₈×C₁₁	C₂×C₄	1	2	yes	—
64	C₄×C₈×C₁₁	C₂³	1	2	yes	—
65	(C₂×D₁₁)⋊C₈	—	2	4	no	—
66	#66879	C₂×C₄	1	4	yes	—
67	#66879	C₂×C₄	1	4	yes	—
68	Dic₁₁⋊C₈	—	2	4	no	—
69	C₈×Dic₁₁	—	2	4	no	—
70	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
71	C₄⋊(C₁₁⋊C₈)	—	2	1	no	—
72	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
73	C₄⋊(C₁₁⋊C₈)	C₂³	1	2	yes	—
74	C₄×C₁₁⋊C₈	C₂×C₄	1	2	yes	—
75	C₄×C₁₁⋊C₈	C₂³	1	2	yes	—
76	C₂×#1565	—	11	1	no	maximal, Sylow
77	C₂³×D₁₁	C₄⋊C₄	1	1	yes	characteristic
78	C₂²×C₄×C₁₁	C₂²×C₄	1	1	yes	characteristic
79	C₂²×C₄×C₁₁	C₂×D₄	1	1	yes	characteristic
80	C₂²×C₄×C₁₁	C₂×Q₈	1	1	yes	characteristic
81	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
82	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
83	C₂²×Dic₁₁	C₄⋊C₄	1	1	yes	characteristic
84	C₂×C₄×D₁₁	—	2	2	no	—
85	C₂×C₄×D₁₁	—	2	2	no	—
86	C₂×C₄×D₁₁	—	4	2	no	—
87	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
88	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
89	C₂×C₄×D₁₁	C₄⋊C₄	1	2	yes	—
90	C₂×C₄×D₁₁	C₂×C₈	1	4	yes	—
91	C₂×C₄×D₁₁	M₁₆	1	4	yes	—
92	C₂×C₄×D₁₁	C₂²×C₄	1	2	yes	—
93	C₂×C₄×D₁₁	C₂×D₄	1	2	yes	—
94	C₂×C₄×D₁₁	C₂×Q₈	1	2	yes	—
95	C₂×C₈×C₁₁	—	2	2	no	—
96	C₂×C₈×C₁₁	—	2	2	no	—
97	C₂×C₈×C₁₁	—	2	2	no	—
98	C₂×C₈×C₁₁	—	4	2	no	—
99	C₂×C₈×C₁₁	—	4	2	no	—
100	C₂×C₈×C₁₁	C₂×C₈	1	4	yes	complemented
101	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
102	C₂×C₈×C₁₁	C₂²×C₄	1	2	yes	—
103	C₄²×C₁₁	C₂²×C₄	1	1	yes	characteristic
104	C₄²×C₁₁	C₂×D₄	1	1	yes	characteristic
105	C₄²×C₁₁	C₂×Q₈	1	1	yes	characteristic
106	C₄²×C₁₁	C₂⁴	1	1	yes	characteristic
107	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
108	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
109	C₄×Dic₁₁	C₄⋊C₄	1	2	yes	—
110	C₄×Dic₁₁	C₂²×C₄	1	2	yes	—
111	C₄×Dic₁₁	C₂×D₄	1	2	yes	—
112	C₄×Dic₁₁	C₂×Q₈	1	2	yes	—
113	C₂×C₁₁⋊C₈	—	2	2	no	—
114	C₂×C₁₁⋊C₈	—	2	2	no	—
115	C₂×C₁₁⋊C₈	—	2	2	no	—
116	C₂×C₁₁⋊C₈	—	4	2	no	—
117	C₂×C₁₁⋊C₈	—	4	2	no	—
118	C₂×C₁₁⋊C₈	C₂×C₈	1	4	yes	complemented
119	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
120	C₂×C₁₁⋊C₈	C₂²×C₄	1	2	yes	—
121	#4313	—	2	8	no	—
122	#4313	C₂×C₈	1	16	yes	complemented
123	C₈×D₁₁	—	4	8	no	—
124	C₂×#431	—	11	1	no	—
125	C₂²×C₄⋊C₈	—	11	1	no	—
126	C₂×C₄×M₁₆	—	11	1	no	—
127	#1565	—	11	8	no	—
128	C₂×#335	—	11	1	no	—
129	C₂×#335	D₁₁	1	1	yes	characteristic, complemented
130	C₂×#334	—	11	1	no	—
131	C₂×#334	—	11	1	no	—
132	C₂³×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
133	C₂²×D₁₁	—	2	2	no	—
134	C₂²×D₁₁	—	2	2	no	—
135	C₂²×D₁₁	C₄⋊C₈	1	4	yes	—
136	C₂²×D₁₁	C₂×C₄⋊C₄	1	2	yes	—
137	C₂×C₄×C₁₁	—	2	2	no	—
138	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
139	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
140	C₂×C₄×C₁₁	C₂×C₄⋊C₄	1	1	yes	characteristic
141	C₂×C₄×C₁₁	C₂²×C₈	1	2	yes	—
142	C₂×C₄×C₁₁	C₂×M₁₆	1	2	yes	—
143	C₂×C₄×C₁₁	AGL(1,ℤ/8)	1	2	yes	—
144	C₂×C₄×C₁₁	#137	1	2	yes	—
145	C₂×C₄×C₁₁	C₂³×C₄	1	1	yes	characteristic
146	C₂×C₄×C₁₁	C₂²×D₄	1	1	yes	characteristic
147	C₂×C₄×C₁₁	C₂²×Q₈	1	1	yes	characteristic
148	C₂×Dic₁₁	—	2	2	no	—
149	C₂×Dic₁₁	—	2	2	no	—
150	C₂×Dic₁₁	C₄⋊C₈	1	4	yes	—
151	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
152	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
153	C₂×Dic₁₁	C₂×C₄⋊C₄	1	2	yes	—
154	C₄×D₁₁	—	2	2	no	—
155	C₄×D₁₁	—	2	2	no	—
156	C₄×D₁₁	—	2	4	no	—
157	C₄×D₁₁	—	4	2	no	—
158	C₄×D₁₁	—	4	2	no	—
159	C₄×D₁₁	C₄⋊C₈	1	8	yes	—
160	C₄×D₁₁	C₂²×C₈	1	4	yes	—
161	C₄×D₁₁	C₂×M₁₆	1	4	yes	—
162	C₈×C₁₁	—	2	2	no	—
163	C₈×C₁₁	—	4	2	no	—
164	C₈×C₁₁	—	4	2	no	—
165	C₈×C₁₁	C₂²×C₈	1	4	yes	complemented
166	C₁₁⋊C₈	—	2	2	no	—
167	C₁₁⋊C₈	—	4	2	no	—
168	C₁₁⋊C₈	—	4	2	no	—
169	C₁₁⋊C₈	C₂²×C₈	1	4	yes	complemented
170	C₂²×M₁₆	—	11	1	no	—
171	C₂²×M₁₆	—	11	1	no	—
172	C₂³×C₈	—	22	1	no	—
173	C₂²×C₄²	—	11	1	no	—
174	#431	—	11	4	no	—
175	#431	—	22	2	no	—
176	C₂×C₄⋊C₈	—	11	1	no	—
177	C₂×C₄⋊C₈	—	11	1	no	—
178	C₂×C₄⋊C₈	—	11	4	no	—
179	C₂×C₄⋊C₈	—	22	2	no	—
180	C₂×C₄⋊C₈	—	22	1	no	—
181	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic
182	C₂×C₄⋊C₈	C₂×D₁₁	1	1	yes	characteristic
183	C₂×C₂²⋊C₈	—	22	1	no	—
184	C₄×M₁₆	—	11	4	no	—
185	C₄×M₁₆	—	11	4	no	—
186	C₂×#97	—	11	1	no	—
187	C₂×#97	—	11	1	no	—
188	C₂×C₄×C₈	—	11	1	no	—
189	C₂×C₄×C₈	—	22	1	no	—
190	C₂×C₄×C₈	C₂×D₁₁	1	1	yes	characteristic
191	#335	—	11	4	no	—
192	#335	C₂×D₁₁	1	4	yes	complemented
193	#334	—	11	4	no	—
194	#334	—	11	4	no	—
195	C₂²×C₁₁	C₂×C₄⋊C₈	1	2	yes	—
196	C₂²×C₁₁	#428	1	2	yes	—
197	C₂²×C₁₁	#430	1	2	yes	—
198	C₂²×C₁₁	C₂²×C₄⋊C₄	1	1	yes	characteristic
199	C₂×D₁₁	—	2	8	no	—
200	C₂×D₁₁	—	2	2	no	—
201	C₂×D₁₁	—	2	2	no	—
202	C₂×D₁₁	C₂×C₄⋊C₈	1	4	yes	—
203	C₄×C₁₁	—	2	1	no	—
204	C₄×C₁₁	—	2	1	no	—
205	C₄×C₁₁	C₂×C₄⋊C₈	1	2	yes	—
206	C₄×C₁₁	#428	1	2	yes	—
207	C₄×C₁₁	C₂³×C₈	1	1	yes	characteristic
208	C₄×C₁₁	C₂²×M₁₆	1	1	yes	characteristic
209	C₄×C₁₁	C₂×AGL(1,ℤ/8)	1	1	yes	characteristic
210	C₄×C₁₁	C₂×#137	1	1	yes	characteristic
211	Dic₁₁	—	2	2	no	—
212	Dic₁₁	—	2	2	no	—
213	Dic₁₁	C₂×C₄⋊C₈	1	4	yes	—
214	C₂³×C₄	—	11	1	no	—
215	C₂³×C₄	—	11	1	no	—
216	C₂³×C₄	—	11	1	no	—
217	C₂×M₁₆	—	11	8	no	—
218	C₂×M₁₆	—	11	4	no	—
219	C₂×M₁₆	—	11	4	no	—
220	C₂×M₁₆	—	22	4	no	—
221	C₂²×C₈	—	2	1	no	—
222	C₂²×C₈	—	2	1	no	—
223	C₂²×C₈	—	11	1	no	—
224	C₂²×C₈	—	11	1	no	—
225	C₂²×C₈	—	22	4	no	—
226	C₂²×C₈	—	22	1	no	—
227	C₂²×C₈	—	22	1	no	—
228	C₂²×C₈	—	44	4	no	—
229	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
230	C₂²×C₈	C₄×D₁₁	1	1	yes	characteristic
231	C₂×C₄²	—	11	1	no	—
232	C₂×C₄²	—	11	1	no	—
233	C₂×C₄²	—	11	1	no	—
234	C₂×C₄²	—	11	2	no	—
235	C₂×C₄²	—	11	2	no	—
236	C₂×C₄²	—	11	2	no	—
237	C₂×C₄²	—	11	2	no	—
238	C₂×C₄²	C₂²×D₁₁	1	1	yes	characteristic
239	C₄⋊C₈	—	2	1	no	—
240	C₄⋊C₈	—	2	1	no	—
241	C₄⋊C₈	—	11	2	no	—
242	C₄⋊C₈	—	11	2	no	—
243	C₄⋊C₈	—	22	4	no	—
244	C₄⋊C₈	—	22	1	no	—
245	C₄⋊C₈	—	22	1	no	—
246	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
247	C₄⋊C₈	C₂²×D₁₁	1	2	yes	—
248	C₂²⋊C₈	—	22	4	no	—
249	#97	—	11	4	no	—
250	#97	—	11	4	no	—
251	C₄×C₈	—	11	2	no	—
252	C₄×C₈	—	11	2	no	—
253	C₄×C₈	—	22	4	no	—
254	C₄×C₈	C₄×D₁₁	1	2	yes	—
255	C₄×C₈	C₂²×D₁₁	1	2	yes	—
256	C₂×C₁₁	#1565	1	4	yes	complemented
257	C₂×C₁₁	C₂²×C₄⋊C₈	1	1	yes	characteristic
258	C₂×C₁₁	C₂×#428	1	1	yes	characteristic
259	C₂×C₁₁	C₂×#430	1	1	yes	characteristic
260	D₁₁	—	2	4	no	—
261	C₂⁴	—	11	1	no	—
262	C₂²×C₄	—	11	1	no	—
263	C₂²×C₄	—	11	2	no	—
264	C₂²×C₄	—	11	4	no	—
265	C₂²×C₄	—	11	4	no	—
266	C₂²×C₄	—	11	2	no	—
267	C₂²×C₄	—	11	1	no	—
268	C₂²×C₄	—	11	1	no	—
269	C₂²×C₄	—	11	2	no	—
270	C₂²×C₄	—	11	2	no	—
271	C₂²×C₄	—	11	2	no	—
272	C₂²×C₄	—	11	2	no	—
273	C₂²×C₄	—	22	2	no	—
274	C₂²×C₄	—	22	2	no	—
275	C₂²×C₄	—	44	2	no	—
276	C₂²×C₄	C₂×C₄×D₁₁	1	1	yes	characteristic
277	C₂²×C₄	D₄×D₁₁	1	1	yes	characteristic
278	C₂²×C₄	Q₈×D₁₁	1	1	yes	characteristic
279	M₁₆	—	11	16	no	—
280	M₁₆	—	22	8	no	—
281	C₂×C₈	—	2	2	no	—
282	C₂×C₈	—	2	2	no	—
283	C₂×C₈	—	2	2	no	—
284	C₂×C₈	—	4	2	no	—
285	C₂×C₈	—	4	2	no	—
286	C₂×C₈	—	11	4	no	—
287	C₂×C₈	—	11	2	no	—
288	C₂×C₈	—	11	2	no	—
289	C₂×C₈	—	22	2	no	—
290	C₂×C₈	—	22	2	no	—
291	C₂×C₈	—	22	2	no	—
292	C₂×C₈	—	44	8	no	—
293	C₂×C₈	—	44	2	no	—
294	C₂×C₈	—	44	2	no	—
295	C₂×C₈	C₈×D₁₁	1	4	yes	complemented
296	C₂×C₈	C₂×C₄×D₁₁	1	2	yes	—
297	C₂×C₈	C₂×C₄×D₁₁	1	2	yes	—
298	C₄²	—	11	2	no	—
299	C₄²	—	11	2	no	—
300	C₄²	—	11	2	no	—
301	C₄²	—	11	2	no	—
302	C₄²	—	11	2	no	—
303	C₄²	—	11	2	no	—
304	C₄²	C₂×C₄×D₁₁	1	1	yes	characteristic
305	C₄²	D₄×D₁₁	1	1	yes	characteristic
306	C₄²	Q₈×D₁₁	1	1	yes	characteristic
307	C₄²	C₂³×D₁₁	1	1	yes	characteristic
308	C₁₁	C₂×#1565	1	1	yes	characteristic, complemented, Sylow
309	C₂³	—	11	2	no	—
310	C₂³	—	11	4	no	—
311	C₂³	—	22	2	no	—
312	C₂³	—	22	2	no	—
313	C₂³	C₄⋊C₄×D₁₁	1	1	yes	characteristic
314	C₂×C₄	—	2	2	no	—
315	C₂×C₄	—	11	2	no	—
316	C₂×C₄	—	11	4	no	—
317	C₂×C₄	—	11	4	no	—
318	C₂×C₄	—	11	4	no	—
319	C₂×C₄	—	11	8	no	—
320	C₂×C₄	—	11	2	no	—
321	C₂×C₄	—	11	2	no	—
322	C₂×C₄	—	22	2	no	—
323	C₂×C₄	—	22	2	no	—
324	C₂×C₄	—	22	4	no	—
325	C₂×C₄	—	22	2	no	—
326	C₂×C₄	—	22	2	no	—
327	C₂×C₄	—	44	2	no	—
328	C₂×C₄	—	44	2	no	—
329	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
330	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
331	C₂×C₄	C₄⋊C₄×D₁₁	1	1	yes	characteristic
332	C₂×C₄	C₂×C₈×D₁₁	1	2	yes	—
333	C₂×C₄	M₁₆×D₁₁	1	2	yes	—
334	C₂×C₄	#66964	1	2	yes	—
335	C₂×C₄	#66971	1	2	yes	—
336	C₂×C₄	C₂²×C₄×D₁₁	1	1	yes	characteristic
337	C₂×C₄	C₂×D₄×D₁₁	1	1	yes	characteristic
338	C₂×C₄	C₂×Q₈×D₁₁	1	1	yes	characteristic
339	C₈	—	2	2	no	—
340	C₈	—	4	2	no	—
341	C₈	—	4	2	no	—
342	C₈	—	11	4	no	—
343	C₈	—	22	2	no	—
344	C₈	—	44	2	no	—
345	C₈	—	44	2	no	—
346	C₈	C₂×C₈×D₁₁	1	4	yes	complemented
347	C₂²	—	11	4	no	—
348	C₂²	—	22	8	no	—
349	C₂²	—	22	2	no	—
350	C₂²	—	22	2	no	—
351	C₂²	D₁₁×C₄⋊C₈	1	2	yes	—
352	C₂²	#10622494	1	2	yes	—
353	C₂²	#10622506	1	2	yes	—
354	C₂²	C₂×C₄⋊C₄×D₁₁	1	1	yes	characteristic
355	C₄	—	2	1	no	—
356	C₄	—	2	1	no	—
357	C₄	—	11	4	no	—
358	C₄	—	22	2	no	—
359	C₄	—	22	2	no	—
360	C₄	D₁₁×C₄⋊C₈	1	2	yes	—
361	C₄	#10622494	1	2	yes	—
362	C₄	C₂²×C₈×D₁₁	1	1	yes	characteristic
363	C₄	C₂×M₁₆×D₁₁	1	1	yes	characteristic
364	C₄	C₂×#66964	1	1	yes	characteristic
365	C₄	C₂×#66971	1	1	yes	characteristic
366	C₂	—	22	4	no	—
367	C₂	#13067367	1	4	yes	direct product factor
368	C₂	C₂×D₁₁×C₄⋊C₈	1	1	yes	characteristic
369	C₂	C₂×#10622494	1	1	yes	characteristic
370	C₂	C₂×#10622506	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	D₄×D₁₁
commutator	C₄×C₁₁	C₂³×C₈
Frattini	C₄²	C₂³×D₁₁
Fitting	C₂×C₁₁×#335	C₂
socle	C₂³×C₁₁	C₂×C₄⋊C₄
prime radical	C₂³×D₁₁	C₄⋊C₄
cosocle	C₄²×C₁₁	C₂⁴
hypercenter	C₂×#335	D₁₁
hypocenter	C₁₁	C₂×#1565
LCS	G ▷ C₄×C₁₁ ▷ C₂×C₁₁ ▷ C₁₁
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×C₄² ◁ C₂×#335

Complements

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

N	H ≅ G/N	type
4. #13067367	C₂	direct (N × H)
5. C₂×#10622117	C₂	semidirect
6. C₂×#10622095	C₂	semidirect
7. C₂×#10622118	C₂	semidirect
8. C₂×C₁₁×#335	C₂	semidirect
30. C₁₁×#335	C₂²	semidirect
31. #10622118	C₂²	semidirect
32. #10622117	C₂²	semidirect
33. #10622095	C₂²	semidirect
50. C₂×#4313	C₈	semidirect
100. C₂×C₈×C₁₁	C₂×C₈	semidirect
118. C₂×C₁₁⋊C₈	C₂×C₈	semidirect
122. #4313	C₂×C₈	semidirect
129. C₂×#335	D₁₁	semidirect
165. C₈×C₁₁	C₂²×C₈	semidirect
169. C₁₁⋊C₈	C₂²×C₈	semidirect
192. #335	C₂×D₁₁	semidirect
256. C₂×C₁₁	#1565	semidirect
295. C₂×C₈	C₈×D₁₁	semidirect
308. C₁₁	C₂×#1565	semidirect
346. C₈	C₂×C₈×D₁₁	semidirect
367. C₂	#13067367	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#10622446	2
C₂×D₁₁×C₄⋊C₈	2
C₂×C₄×#4313	2
#13067367	2
C₂×#10622117	2
C₂×#10622095	2
C₂×#10622118	2
C₂×C₁₁×#335	2
C₂×#1565	11

Subgroups — C2×#13067367 #14722751

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13067367 #14722751