Subgroups — C₇×#13132997⋊C₃ #47977913

Order 35364.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×D₄₂₁⋊C₃	C₂	1	1	yes	maximal, characteristic
2	C₇×#13132997	C₃	1	1	yes	maximal, characteristic, complemented, Hall
3	C₇×C₄₂₁⋊C₃	C₄	1	1	yes	characteristic, complemented, Hall
4	C₇×D₄₂₁	C₂×C₃	1	1	yes	characteristic
5	#13132997⋊C₃	C₇	1	1	yes	maximal, characteristic, direct product factor, Hall
6	C₇×C₄₂₁	C₃×C₄	1	1	yes	characteristic, complemented, Hall
7	D₄₂₁⋊C₃	C₂×C₇	1	1	yes	characteristic
8	#13132997	C₃×C₇	1	1	yes	characteristic, complemented, Hall
9	C₄₂₁⋊C₃	C₄×C₇	1	1	yes	characteristic, complemented, Hall
10	D₄₂₁	C₂×C₃×C₇	1	1	yes	characteristic
11	C₄₂₁	C₃×C₄×C₇	1	1	yes	characteristic, complemented, Sylow
12	C₃×C₄×C₇	—	421	1	no	maximal, Hall
13	C₂×C₃×C₇	—	421	1	no	—
14	C₄×C₇	—	421	1	no	Hall
15	C₃×C₇	—	421	1	no	Hall
16	C₂×C₇	—	421	1	no	—
17	C₃×C₄	—	421	1	no	Hall
18	C₇	#13132997⋊C₃	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₃	—	421	1	no	—
20	C₄	—	421	1	no	Sylow
21	C₃	—	421	1	no	Sylow
22	C₂	—	421	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.