Subgroups — C₃×C₇⋊#13132997 #47977939

Order 35364.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₇×D₄₂₁	C₂	1	1	yes	maximal, characteristic
2	C₇⋊#13132997	C₃	1	1	yes	maximal, characteristic, direct product factor, Hall
3	C₃×C₇×C₄₂₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₇×D₄₂₁	C₂×C₃	1	1	yes	characteristic
5	C₃×#13132997	—	7	1	no	maximal, Hall
6	C₇×C₄₂₁	C₃×C₄	1	1	yes	characteristic, complemented, Hall
7	C₃×D₄₂₁	D₇	1	1	yes	characteristic
8	#13132997	—	7	1	no	Hall
9	C₃×C₄₂₁	Dic₇	1	1	yes	characteristic, complemented, Hall
10	D₄₂₁	C₃×D₇	1	1	yes	characteristic
11	C₄₂₁	C₃×Dic₇	1	1	yes	characteristic, complemented, Sylow
12	C₃×Dic₇	—	421	1	no	maximal, Hall
13	C₂×C₃×C₇	—	421	1	no	—
14	Dic₇	—	421	1	no	Hall
15	C₃×C₇	#13132997	1	1	yes	characteristic, complemented, Hall
16	C₂×C₇	—	421	1	no	—
17	C₃×C₄	—	2947	1	no	Hall
18	C₇	C₃×#13132997	1	1	yes	characteristic, complemented, Sylow
19	C₂×C₃	—	421	1	no	—
20	C₄	—	2947	1	no	Sylow
21	C₃	C₇⋊#13132997	1	1	yes	characteristic, direct product factor, 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.