Subgroups — D₉×C₇₁⋊C₂₅ #44544008

Order 31950.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₇₁⋊C₂₅	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	D₃×C₇₁⋊C₂₅	—	3	1	no	maximal
3	C₅×D₉×C₇₁	C₅	1	1	yes	maximal, characteristic
4	C₃×C₇₁⋊C₂₅	D₃	1	1	yes	characteristic
5	C₂×C₇₁⋊C₂₅	—	9	1	no	Hall
6	C₅×C₉×C₇₁	C₂×C₅	1	1	yes	characteristic
7	C₅×D₃×C₇₁	—	3	1	no	—
8	C₇₁⋊C₂₅	D₉	1	1	yes	characteristic, direct product factor, Hall
9	D₉×C₇₁	C₂₅	1	1	yes	characteristic, complemented, Hall
10	C₃×C₅×C₇₁	C₅×D₃	1	1	yes	characteristic
11	C₂×C₅×C₇₁	—	9	1	no	—
12	C₉×C₇₁	C₂×C₂₅	1	1	yes	characteristic, complemented, Hall
13	D₉×C₂₅	—	71	1	no	maximal, Hall
14	D₃×C₇₁	—	3	1	no	—
15	C₅×C₇₁	C₅×D₉	1	1	yes	characteristic
16	C₉×C₂₅	—	71	1	no	Hall
17	C₃×C₇₁	D₃×C₂₅	1	1	yes	characteristic
18	D₃×C₂₅	—	213	1	no	—
19	C₂×C₇₁	—	9	1	no	Hall
20	C₅×D₉	C₇₁⋊C₅	1	1	yes	characteristic
21	C₃×C₂₅	—	71	1	no	—
22	C₇₁	D₉×C₂₅	1	1	yes	characteristic, complemented, Sylow
23	C₂×C₂₅	—	639	1	no	Hall
24	C₅×C₉	C₂×C₇₁⋊C₅	1	1	yes	characteristic
25	C₅×D₃	—	3	1	no	—
26	C₂₅	—	71	1	no	Sylow
27	D₉	C₇₁⋊C₂₅	1	1	yes	characteristic, direct product factor, Hall
28	C₃×C₅	D₃×C₇₁⋊C₅	1	1	yes	characteristic
29	C₂×C₅	—	9	1	no	—
30	C₉	C₂×C₇₁⋊C₂₅	1	1	yes	characteristic, complemented, Sylow
31	D₃	—	3	1	no	—
32	C₅	D₉×C₇₁⋊C₅	1	1	yes	characteristic
33	C₃	D₃×C₇₁⋊C₂₅	1	1	yes	characteristic
34	C₂	—	9	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.