Subgroups — C₉×D₇₁⋊C₅ #20264129

Order 6390.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₇₁⋊C₅	C₂	1	1	yes	maximal, characteristic, complemented, Hall
2	C₃×D₇₁⋊C₅	C₃	1	1	yes	maximal, characteristic
3	C₉×D₇₁	C₅	1	1	yes	maximal, characteristic, complemented, Hall
4	C₃×C₇₁⋊C₅	C₂×C₃	1	1	yes	characteristic
5	D₇₁⋊C₅	C₉	1	1	yes	characteristic, direct product factor, Hall
6	C₉×C₇₁	C₂×C₅	1	1	yes	characteristic, complemented, Hall
7	C₃×D₇₁	C₃×C₅	1	1	yes	characteristic
8	C₇₁⋊C₅	C₂×C₉	1	1	yes	characteristic, complemented, Hall
9	C₃×C₇₁	C₂×C₃×C₅	1	1	yes	characteristic
10	D₇₁	C₅×C₉	1	1	yes	characteristic, complemented, Hall
11	C₂×C₅×C₉	—	71	1	no	maximal, Hall
12	C₇₁	C₂×C₅×C₉	1	1	yes	characteristic, complemented, Sylow
13	C₅×C₉	—	71	1	no	Hall
14	C₂×C₃×C₅	—	71	1	no	—
15	C₂×C₉	—	71	1	no	Hall
16	C₃×C₅	—	71	1	no	—
17	C₂×C₅	—	71	1	no	Hall
18	C₉	D₇₁⋊C₅	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₃	—	71	1	no	—
20	C₅	—	71	1	no	Sylow
21	C₃	C₃×D₇₁⋊C₅	1	1	yes	characteristic
22	C₂	—	71	1	no	Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.