Subgroups — C₄×C₇⋊D₇ #87649

Order 392.

80 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×C₇⋊D₇	C₂	1	1	yes	maximal, characteristic
2	C₄×C₇²	C₂	1	1	yes	maximal, characteristic, complemented
3	C₇⋊Dic₇	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇²	C₂²	1	1	yes	characteristic
5	C₇⋊D₇	C₄	1	2	yes	direct product factor
6	C₄×D₇	—	7	8	no	maximal
7	C₇²	C₂×C₄	1	1	yes	characteristic, complemented, Sylow
8	C₂×D₇	—	7	8	no	—
9	C₄×C₇	D₇	1	8	yes	complemented
10	Dic₇	—	7	8	no	—
11	C₂×C₇	C₂×D₇	1	8	yes	—
12	D₇	—	7	16	no	—
13	C₂×C₄	—	49	1	no	Sylow
14	C₇	C₄×D₇	1	8	yes	complemented
15	C₂²	—	49	1	no	—
16	C₄	—	49	1	no	—
17	C₄	C₇⋊D₇	1	1	yes	characteristic, direct product factor
18	C₂	—	49	2	no	—
19	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.