Subgroups — #14556688

Order 2336.

26 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#11924040	C₂	1	2	yes	maximal, complemented
2	#11924036	C₂	1	1	yes	maximal, characteristic
3	C₄×D₇₃	C₄	1	1	yes	characteristic
4	#10596833	C₄	1	1	yes	characteristic
5	#10596833	C₂²	1	1	yes	characteristic
6	C₂×D₇₃	C₈	1	1	yes	characteristic
7	C₄×C₇₃	C₈	1	1	yes	characteristic
8	Dic₇₃	C₂×C₄	1	1	yes	characteristic
9	C₂×C₇₃	C₂×C₈	1	1	yes	characteristic
10	D₇₃	—	2	1	no	—
11	C₇₃	M₃₂	1	1	yes	characteristic, complemented, Sylow
12	M₃₂	—	73	1	no	maximal, Sylow
13	C₂×C₈	—	73	1	no	—
14	C₁₆	—	73	2	no	—
15	C₂×C₄	—	73	1	no	—
16	C₈	—	73	1	no	—
17	C₈	—	73	1	no	—
18	C₂²	—	73	1	no	—
19	C₄	—	73	1	no	—
20	C₄	#10596842	1	1	yes	characteristic
21	C₂	—	146	1	no	—
22	C₂	C₂×#10596842	1	1	yes	characteristic

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

N	H ≅ G/N	type
1. #11924040	C₂	semidirect
11. C₇₃	M₃₂	semidirect

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