Subgroups — C₂×C₇⋊Dic₇ #87651

Order 392.

80 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×C₇²	C₂	1	1	yes	maximal, characteristic
2	C₇⋊Dic₇	C₂	1	2	yes	maximal, direct product factor
3	C₂×C₇²	C₄	1	2	yes	complemented
4	C₂×C₇²	C₂²	1	1	yes	characteristic
5	C₂×Dic₇	—	7	8	no	maximal
6	C₇²	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
7	C₂²×C₇	D₇	1	8	yes	—
8	Dic₇	—	7	16	no	—
9	C₂×C₇	Dic₇	1	16	yes	complemented
10	C₂×C₇	C₂×D₇	1	8	yes	—
11	C₂×C₄	—	49	1	no	Sylow
12	C₇	C₂×Dic₇	1	8	yes	complemented
13	C₂²	C₇⋊D₇	1	1	yes	characteristic
14	C₄	—	49	2	no	—
15	C₂	C₇⋊Dic₇	1	2	yes	direct product factor
16	C₂	C₂×C₇⋊D₇	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.