Subgroups — C₁₁⋊#95 #66895

Order 352.

76 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₄×C₁₁	C₂	1	1	yes	maximal, characteristic
2	C₂²×Dic₁₁	C₂	1	2	yes	maximal
3	C₂³×C₁₁	C₂²	1	1	yes	characteristic
4	C₂×C₄×C₁₁	—	2	2	no	—
5	C₂×C₄×C₁₁	C₄	1	2	yes	complemented
6	C₂×Dic₁₁	—	2	2	no	—
7	C₂×Dic₁₁	—	2	2	no	—
8	C₂×Dic₁₁	C₄	1	4	yes	complemented
9	C₂²×C₁₁	C₂×C₄	1	2	yes	—
10	C₂²×C₁₁	C₂×C₄	1	1	yes	characteristic
11	C₂²×C₁₁	D₄	1	1	yes	characteristic
12	C₂²×C₁₁	D₄	1	2	yes	—
13	C₂²×C₁₁	Q₈	1	1	yes	characteristic
14	C₄×C₁₁	—	2	2	no	—
15	Dic₁₁	—	2	4	no	—
16	#95	—	11	1	no	maximal, Sylow
17	C₂×C₁₁	C₄²	1	1	yes	characteristic
18	C₂×C₁₁	C₂²⋊C₄	1	2	yes	—
19	C₂×C₁₁	C₂²⋊C₄	1	1	yes	characteristic
20	C₂×C₁₁	C₄⋊C₄	1	2	yes	—
21	C₂×C₁₁	C₄⋊C₄	1	1	yes	characteristic
22	C₂²×C₄	—	11	2	no	—
23	C₂²×C₄	D₁₁	1	1	yes	characteristic
24	C₁₁	#95	1	1	yes	characteristic, complemented, Sylow
25	C₂³	C₂×D₁₁	1	1	yes	characteristic
26	C₂×C₄	—	2	2	no	—
27	C₂×C₄	—	11	4	no	—
28	C₂×C₄	—	22	2	no	—
29	C₂×C₄	—	22	2	no	—
30	C₂×C₄	Dic₁₁	1	2	yes	complemented
31	C₂²	Dic₂₂	1	1	yes	characteristic
32	C₂²	C₄×D₁₁	1	2	yes	—
33	C₂²	D₄₄	1	1	yes	characteristic
34	C₂²	C₂×Dic₁₁	1	1	yes	characteristic
35	C₂²	C₂²⋊D₁₁	1	2	yes	—
36	C₄	—	2	2	no	—
37	C₄	—	22	4	no	—
38	C₂	C₄×Dic₁₁	1	1	yes	characteristic
39	C₂	Dic₁₁⋊C₄	1	2	yes	—
40	C₂	C₄⋊Dic₁₁	1	1	yes	characteristic
41	C₂	(C₂×D₁₁)⋊C₄	1	2	yes	—
42	C₂	C₂²⋊Dic₁₁	1	1	yes	characteristic

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

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