Subgroups — #66882

Order 352.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₈×C₁₁	C₂	1	1	yes	maximal, characteristic
2	C₄⋊Dic₁₁	C₂	1	2	yes	maximal
3	C₂×C₄×C₁₁	C₂²	1	1	yes	characteristic
4	C₂×Dic₁₁	—	2	2	no	—
5	C₈×C₁₁	C₄	1	2	yes	complemented
6	C₂²×C₁₁	D₄	1	1	yes	characteristic
7	C₄×C₁₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₁	Q₈	1	1	yes	characteristic
9	Dic₁₁	—	4	2	no	—
10	#107	—	11	1	no	maximal, Sylow
11	C₂×C₁₁	C₄⋊C₄	1	1	yes	characteristic
12	C₂×C₁₁	D₈	1	1	yes	characteristic
13	C₂×C₁₁	Q₁₆	1	1	yes	characteristic
14	C₂×C₈	D₁₁	1	1	yes	characteristic
15	C₄⋊C₄	—	11	2	no	—
16	C₁₁	#107	1	1	yes	characteristic, complemented, Sylow
17	C₂×C₄	—	22	2	no	—
18	C₂×C₄	C₂×D₁₁	1	1	yes	characteristic
19	C₈	Dic₁₁	1	2	yes	complemented
20	C₂²	D₄₄	1	1	yes	characteristic
21	C₄	—	44	2	no	—
22	C₄	Dic₂₂	1	1	yes	characteristic
23	C₄	C₂×Dic₁₁	1	1	yes	characteristic
24	C₂	D₈₈	1	1	yes	characteristic
25	C₂	Dic₄₄	1	1	yes	characteristic
26	C₂	C₄⋊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.