Subgroups — #19153752

Order 5792.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#15668433	C₂	1	2	yes	maximal
2	C₂×C₈×C₁₈₁	C₂	1	1	yes	maximal, characteristic
3	#13089678	—	2	2	no	—
4	C₂×C₄×C₁₈₁	C₂²	1	1	yes	characteristic
5	C₈×C₁₈₁	C₄	1	2	yes	—
6	C₂²×C₁₈₁	Q₈	1	1	yes	characteristic
7	C₄×C₁₈₁	C₂×C₄	1	1	yes	characteristic
8	C₄×C₁₈₁	D₄	1	1	yes	characteristic
9	C₂×C₁₈₁	—	2	1	no	—
10	C₂×C₁₈₁	C₄⋊C₄	1	1	yes	characteristic
11	C₁₈₁	#108	1	1	yes	characteristic, complemented, Sylow
12	#108	—	181	1	no	maximal, Sylow
13	M₁₆	—	181	2	no	—
14	C₂×C₈	D₁₈₁	1	1	yes	characteristic
15	C₂×C₄	C₂×D₁₈₁	1	1	yes	characteristic
16	C₈	—	362	2	no	—
17	C₈	Dic₁₈₁	1	2	yes	—
18	C₂²	Dic₃₆₂	1	1	yes	characteristic
19	C₄	C₂×Dic₁₈₁	1	1	yes	characteristic
20	C₄	D₇₂₄	1	1	yes	characteristic
21	C₂	—	2	1	no	—
22	C₂	C₄⋊Dic₁₈₁	1	1	yes	characteristic

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

N	H ≅ G/N	type
11. C₁₈₁	#108	semidirect