Subgroups — #595×C₄₆₇ #44540855

Order 31756.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₁₇×C₄₆₇	C₂	1	1	yes	maximal, characteristic
2	C₁₇×C₄₆₇	C₄	1	1	yes	characteristic, complemented, Hall
3	C₄×C₄₆₇	—	17	1	no	maximal, Hall
4	C₂×C₄₆₇	—	17	1	no	—
5	C₄₆₇	#595	1	1	yes	characteristic, direct product factor, Sylow
6	#595	C₄₆₇	1	1	yes	maximal, characteristic, direct product factor, Hall
7	D₁₇	C₂×C₄₆₇	1	1	yes	characteristic
8	C₁₇	C₄×C₄₆₇	1	1	yes	characteristic, complemented, Sylow
9	C₄	—	17	1	no	Sylow
10	C₂	—	17	1	no	—

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.