Subgroups — C₂₅×D₅₁₁ #38784368

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×D₅₁₁	C₅	1	1	yes	maximal, characteristic
3	C₂₅×D₇₃	—	7	1	no	maximal, Hall
4	C₅×C₇×C₇₃	C₂×C₅	1	1	yes	characteristic
5	C₂₅×C₇₃	D₇	1	1	yes	characteristic, complemented, Hall
6	D₅₁₁	C₂₅	1	1	yes	characteristic, direct product factor, Hall
7	C₅×D₇₃	—	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	—	73	1	no	maximal, Hall
11	C₇×C₂₅	D₇₃	1	1	yes	characteristic, complemented, Hall
12	D₇₃	—	7	1	no	Hall
13	C₇₃	D₇×C₂₅	1	1	yes	characteristic, complemented, Sylow
14	C₅×D₇	—	73	1	no	—
15	C₂×C₂₅	—	511	1	no	Hall
16	C₅×C₇	C₅×D₇₃	1	1	yes	characteristic
17	C₂₅	D₅₁₁	1	1	yes	characteristic, direct product factor, Sylow
18	D₇	—	73	1	no	Hall
19	C₂×C₅	—	511	1	no	—
20	C₇	C₂₅×D₇₃	1	1	yes	characteristic, complemented, Sylow
21	C₅	C₅×D₅₁₁	1	1	yes	characteristic
22	C₂	—	511	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.