Subgroups — C₂₅×D₆₅₇ #45659404

Order 32850.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₂₅×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₂₅×D₂₁₉	—	3	1	no	maximal
3	C₅×D₆₅₇	C₅	1	1	yes	maximal, characteristic
4	C₃×C₂₅×C₇₃	D₃	1	1	yes	characteristic
5	C₂₅×D₇₃	—	9	1	no	Hall
6	C₅×C₉×C₇₃	C₂×C₅	1	1	yes	characteristic
7	C₅×D₂₁₉	—	3	1	no	—
8	C₂₅×C₇₃	D₉	1	1	yes	characteristic, complemented, Hall
9	D₆₅₇	C₂₅	1	1	yes	characteristic, direct product factor, Hall
10	C₃×C₅×C₇₃	C₅×D₃	1	1	yes	characteristic
11	C₅×D₇₃	—	9	1	no	—
12	C₉×C₇₃	C₂×C₂₅	1	1	yes	characteristic, complemented, Hall
13	D₉×C₂₅	—	73	1	no	maximal, Hall
14	D₂₁₉	—	3	1	no	—
15	C₅×C₇₃	C₅×D₉	1	1	yes	characteristic
16	C₉×C₂₅	D₇₃	1	1	yes	characteristic, complemented, Hall
17	C₃×C₇₃	D₃×C₂₅	1	1	yes	characteristic
18	D₃×C₂₅	—	219	1	no	—
19	D₇₃	—	9	1	no	Hall
20	C₅×D₉	—	73	1	no	—
21	C₃×C₂₅	D₂₁₉	1	1	yes	characteristic
22	C₇₃	D₉×C₂₅	1	1	yes	characteristic, complemented, Sylow
23	C₂×C₂₅	—	657	1	no	Hall
24	C₅×C₉	C₅×D₇₃	1	1	yes	characteristic
25	C₅×D₃	—	219	1	no	—
26	C₂₅	D₆₅₇	1	1	yes	characteristic, direct product factor, Sylow
27	D₉	—	73	1	no	Hall
28	C₃×C₅	C₅×D₂₁₉	1	1	yes	characteristic
29	C₂×C₅	—	657	1	no	—
30	C₉	C₂₅×D₇₃	1	1	yes	characteristic, complemented, Sylow
31	D₃	—	219	1	no	—
32	C₅	C₅×D₆₅₇	1	1	yes	characteristic
33	C₃	C₂₅×D₂₁₉	1	1	yes	characteristic
34	C₂	—	657	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.