Subgroups — C₂×C₉×C₇₁⋊C₅ #20264121

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, direct product factor, Hall
2	C₂×C₃×C₇₁⋊C₅	C₃	1	1	yes	maximal, characteristic
3	C₂×C₉×C₇₁	C₅	1	1	yes	maximal, characteristic, complemented, Hall
4	C₃×C₇₁⋊C₅	C₂×C₃	1	1	yes	characteristic
5	C₂×C₇₁⋊C₅	C₉	1	1	yes	characteristic, direct product factor, Hall
6	C₉×C₇₁	C₂×C₅	1	1	yes	characteristic, complemented, Hall
7	C₂×C₃×C₇₁	C₃×C₅	1	1	yes	characteristic
8	C₇₁⋊C₅	C₂×C₉	1	1	yes	characteristic, direct product factor, Hall
9	C₃×C₇₁	C₂×C₃×C₅	1	1	yes	characteristic
10	C₂×C₇₁	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	C₇₁⋊C₅	1	1	yes	characteristic, direct product factor, Hall
16	C₃×C₅	—	71	1	no	—
17	C₂×C₅	—	71	1	no	Hall
18	C₉	C₂×C₇₁⋊C₅	1	1	yes	characteristic, direct product factor, Sylow
19	C₂×C₃	C₃×C₇₁⋊C₅	1	1	yes	characteristic
20	C₅	—	71	1	no	Sylow
21	C₃	C₂×C₃×C₇₁⋊C₅	1	1	yes	characteristic
22	C₂	C₉×C₇₁⋊C₅	1	1	yes	characteristic, direct product factor, Sylow

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