Subgroups — #46853370

Order 34912.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#31775392	C₂	1	2	yes	maximal
2	C₂×C₈×C₁₀₉₁	C₂	1	1	yes	maximal, characteristic
3	C₁₀₉₁⋊C₈	—	2	2	no	—
4	C₂×C₄×C₁₀₉₁	C₂²	1	1	yes	characteristic
5	C₈×C₁₀₉₁	C₄	1	2	yes	—
6	C₂²×C₁₀₉₁	Q₈	1	1	yes	characteristic
7	C₄×C₁₀₉₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₀₉₁	D₄	1	1	yes	characteristic
9	C₂×C₁₀₉₁	—	2	1	no	—
10	C₂×C₁₀₉₁	C₄⋊C₄	1	1	yes	characteristic
11	C₁₀₉₁	#108	1	1	yes	characteristic, complemented, Sylow
12	#108	—	1091	1	no	maximal, Sylow
13	M₁₆	—	1091	2	no	—
14	C₂×C₈	D₁₀₉₁	1	1	yes	characteristic
15	C₂×C₄	C₂×D₁₀₉₁	1	1	yes	characteristic
16	C₈	—	2182	2	no	—
17	C₈	Dic₁₀₉₁	1	2	yes	—
18	C₂²	Dic₂₁₈₂	1	1	yes	characteristic
19	C₄	C₂×Dic₁₀₉₁	1	1	yes	characteristic
20	C₄	D₄₃₆₄	1	1	yes	characteristic
21	C₂	—	2	1	no	—
22	C₂	C₄⋊Dic₁₀₉₁	1	1	yes	characteristic

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

N	H ≅ G/N	type
11. C₁₀₉₁	#108	semidirect

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