Subgroups — C₄×D₇×C₂₉ #13108607

Order 1624.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×D₇×C₂₉	C₂	1	1	yes	maximal, characteristic
2	C₄×C₇×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
3	Dic₇×C₂₉	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×C₇×C₂₉	C₂²	1	1	yes	characteristic
5	D₇×C₂₉	C₄	1	2	yes	direct product factor
6	C₂×C₄×C₂₉	—	7	1	no	maximal, Hall
7	C₇×C₂₉	C₂×C₄	1	1	yes	characteristic, complemented, Hall
8	C₂²×C₂₉	—	7	1	no	—
9	C₄×C₂₉	—	7	1	no	—
10	C₄×C₂₉	D₇	1	1	yes	characteristic, direct product factor
11	C₂×C₂₉	—	7	2	no	—
12	C₂×C₂₉	C₂×D₇	1	1	yes	characteristic
13	C₄×D₇	C₂₉	1	1	yes	maximal, characteristic, direct product factor, Hall
14	C₂₉	C₄×D₇	1	1	yes	characteristic, direct product factor, Sylow
15	C₂×D₇	C₂×C₂₉	1	1	yes	characteristic
16	C₄×C₇	C₂×C₂₉	1	1	yes	characteristic, complemented
17	Dic₇	C₂×C₂₉	1	1	yes	characteristic, complemented
18	C₂×C₇	C₂²×C₂₉	1	1	yes	characteristic
19	D₇	C₄×C₂₉	1	2	yes	direct product factor
20	C₂×C₄	—	7	1	no	Sylow
21	C₇	C₂×C₄×C₂₉	1	1	yes	characteristic, complemented, Sylow
22	C₂²	—	7	1	no	—
23	C₄	—	7	1	no	—
24	C₄	D₇×C₂₉	1	1	yes	characteristic, direct product factor
25	C₂	—	7	2	no	—
26	C₂	C₂×D₇×C₂₉	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.