Subgroups — D₇×C₂₅×C₇₃ #38784367

Order 25550.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₇×C₂₅×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₅×D₇×C₇₃	C₅	1	1	yes	maximal, characteristic
3	C₂×C₂₅×C₇₃	—	7	1	no	maximal, Hall
4	C₅×C₇×C₇₃	C₂×C₅	1	1	yes	characteristic
5	C₂₅×C₇₃	D₇	1	1	yes	characteristic, direct product factor, Hall
6	D₇×C₇₃	C₂₅	1	1	yes	characteristic, direct product factor, Hall
7	C₂×C₅×C₇₃	—	7	1	no	—
8	C₇×C₇₃	C₂×C₂₅	1	1	yes	characteristic, complemented, Hall
9	C₅×C₇₃	C₅×D₇	1	1	yes	characteristic
10	D₇×C₂₅	C₇₃	1	1	yes	maximal, characteristic, direct product factor, Hall
11	C₇×C₂₅	C₂×C₇₃	1	1	yes	characteristic, complemented, Hall
12	C₂×C₇₃	—	7	1	no	Hall
13	C₇₃	D₇×C₂₅	1	1	yes	characteristic, direct product factor, Sylow
14	C₅×D₇	C₅×C₇₃	1	1	yes	characteristic
15	C₂×C₂₅	—	7	1	no	Hall
16	C₅×C₇	C₂×C₅×C₇₃	1	1	yes	characteristic
17	C₂₅	D₇×C₇₃	1	1	yes	characteristic, direct product factor, Sylow
18	D₇	C₂₅×C₇₃	1	1	yes	characteristic, direct product factor, Hall
19	C₂×C₅	—	7	1	no	—
20	C₇	C₂×C₂₅×C₇₃	1	1	yes	characteristic, complemented, Sylow
21	C₅	C₅×D₇×C₇₃	1	1	yes	characteristic
22	C₂	—	7	1	no	Sylow

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.