Subgroups — #11924611

Order 1184.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈×D₃₇	C₂	1	1	yes	maximal, characteristic
2	#10596927	C₂	1	2	yes	maximal, complemented
3	C₄×D₃₇	C₄	1	1	yes	characteristic
4	C₈×C₃₇	C₄	1	1	yes	characteristic
5	#64436	C₂²	1	1	yes	characteristic
6	C₂×D₃₇	C₈	1	1	yes	characteristic
7	C₄×C₃₇	C₂×C₄	1	1	yes	characteristic
8	Dic₃₇	C₈	1	1	yes	characteristic
9	C₂×C₃₇	C₂×C₈	1	1	yes	characteristic
10	D₃₇	—	2	1	no	—
11	C₃₇	M₃₂	1	1	yes	characteristic, complemented, Sylow
12	M₃₂	—	37	1	no	maximal, Sylow
13	C₂×C₈	—	37	1	no	—
14	C₁₆	—	37	2	no	—
15	C₂×C₄	—	37	1	no	—
16	C₈	—	37	1	no	—
17	C₈	#3866	1	1	yes	characteristic
18	C₂²	—	37	1	no	—
19	C₄	—	37	1	no	—
20	C₄	C₂×#3866	1	1	yes	characteristic
21	C₂	—	74	1	no	—
22	C₂	D₃₇⋊C₈	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. #10596927	C₂	semidirect
11. C₃₇	M₃₂	semidirect

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