Subgroups — C₂²⋊#595 #63248

Order 272.

34 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×D₁₇	C₂	1	1	yes	maximal, characteristic
2	C₂×#595	C₂	1	2	yes	maximal, complemented
3	C₂²×C₁₇	C₄	1	1	yes	characteristic, complemented
4	C₂×D₁₇	—	2	2	no	—
5	C₂×D₁₇	C₄	1	1	yes	characteristic, complemented
6	C₂×D₁₇	C₂²	1	1	yes	characteristic
7	#595	—	2	2	no	—
8	C₂×C₁₇	—	2	1	no	—
9	C₂×C₁₇	C₂×C₄	1	1	yes	characteristic
10	D₁₇	—	2	1	no	—
11	D₁₇	D₄	1	2	yes	—
12	C₁₇	C₂²⋊C₄	1	1	yes	characteristic, complemented, Sylow
13	C₂²⋊C₄	—	17	1	no	maximal, Sylow
14	C₂³	—	17	1	no	—
15	C₂×C₄	—	17	2	no	—
16	C₂²	—	17	1	no	—
17	C₂²	—	17	1	no	—
18	C₂²	—	34	2	no	—
19	C₂²	#595	1	1	yes	characteristic, complemented
20	C₄	—	34	2	no	—
21	C₂	—	2	1	no	—
22	C₂	—	17	2	no	—
23	C₂	—	34	1	no	—
24	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.