Subgroups — C₂×#3633 #63264

Order 272.

22 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#595	C₂	1	1	yes	maximal, characteristic
2	#3633	C₂	1	2	yes	maximal, direct product factor
3	C₂×D₁₇	C₄	1	1	yes	characteristic
4	#595	C₄	1	1	yes	characteristic
5	#595	C₂²	1	1	yes	characteristic
6	C₂×C₁₇	C₈	1	1	yes	characteristic, complemented
7	D₁₇	C₈	1	1	yes	characteristic, complemented
8	D₁₇	C₂×C₄	1	1	yes	characteristic
9	C₁₇	C₂×C₈	1	1	yes	characteristic, complemented, Sylow
10	C₂×C₈	—	17	1	no	maximal, Sylow
11	C₂×C₄	—	17	1	no	—
12	C₈	—	17	2	no	—
13	C₂²	—	17	1	no	—
14	C₄	—	17	1	no	—
15	C₄	—	17	1	no	—
16	C₂	—	17	1	no	—
17	C₂	—	17	1	no	—
18	C₂	#3633	1	1	yes	characteristic, direct product factor

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.