Subgroups — C₂×C₇⋊#595 #11745779

Order 952.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇×D₁₇	C₂	1	1	yes	maximal, characteristic
2	C₇⋊#595	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₇×C₁₇	C₄	1	1	yes	characteristic, complemented
4	C₇×D₁₇	C₄	1	1	yes	characteristic, complemented
5	C₇×D₁₇	C₂²	1	1	yes	characteristic
6	C₂×#595	—	7	1	no	maximal, Hall
7	C₇×C₁₇	C₂×C₄	1	1	yes	characteristic, complemented, Hall
8	C₂×D₁₇	D₇	1	1	yes	characteristic
9	#595	—	7	2	no	—
10	C₂×Dic₇	—	17	1	no	maximal, Hall
11	C₂×C₁₇	Dic₇	1	1	yes	characteristic, complemented
12	D₁₇	Dic₇	1	1	yes	characteristic, complemented
13	D₁₇	C₂×D₇	1	1	yes	characteristic
14	C₂²×C₇	—	17	1	no	—
15	Dic₇	—	17	2	no	—
16	C₁₇	C₂×Dic₇	1	1	yes	characteristic, complemented, Sylow
17	C₂×C₇	—	17	1	no	—
18	C₂×C₇	—	17	1	no	—
19	C₂×C₇	#595	1	1	yes	characteristic, complemented
20	C₂×C₄	—	119	1	no	Sylow
21	C₇	C₂×#595	1	1	yes	characteristic, complemented, Sylow
22	C₂²	—	17	1	no	—
23	C₄	—	119	2	no	—
24	C₂	—	17	1	no	—
25	C₂	—	17	1	no	—
26	C₂	C₇⋊#595	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.