Subgroups — C₄×#595 #63244

Order 272.

30 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#595	C₂	1	2	yes	maximal
2	C₄×D₁₇	C₂	1	1	yes	maximal, characteristic
3	C₂×D₁₇	C₂²	1	1	yes	characteristic
4	#595	C₄	1	4	yes	direct product factor
5	C₄×C₁₇	C₄	1	1	yes	characteristic, complemented
6	Dic₁₇	C₄	1	1	yes	characteristic, complemented
7	C₂×C₁₇	C₂×C₄	1	1	yes	characteristic
8	D₁₇	C₂×C₄	1	2	yes	—
9	C₁₇	C₄²	1	1	yes	characteristic, complemented, Sylow
10	C₄²	—	17	1	no	maximal, Sylow
11	C₂×C₄	—	17	2	no	—
12	C₂×C₄	—	17	1	no	—
13	C₂²	—	17	1	no	—
14	C₄	—	17	4	no	—
15	C₄	—	17	1	no	—
16	C₄	#595	1	1	yes	characteristic, direct product factor
17	C₂	—	17	2	no	—
18	C₂	C₂×#595	1	1	yes	characteristic

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.