Subgroups — C₅×C₉⋊#10624382 #45656378

Order 32580.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₉×D₁₈₁	C₂	1	1	yes	maximal, characteristic
2	C₅×C₃⋊#10624382	—	3	1	no	maximal
3	C₅×C₉×C₁₈₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₉⋊#10624382	C₅	1	1	yes	maximal, characteristic, direct product factor, Hall
5	C₃×C₅×D₁₈₁	D₃	1	1	yes	characteristic
6	C₅×#10624382	—	9	1	no	Hall
7	C₉×D₁₈₁	C₂×C₅	1	1	yes	characteristic
8	C₃×C₅×C₁₈₁	Dic₃	1	1	yes	characteristic
9	C₃⋊#10624382	—	3	1	no	—
10	C₅×D₁₈₁	D₉	1	1	yes	characteristic
11	C₉×C₁₈₁	C₄×C₅	1	1	yes	characteristic, complemented, Hall
12	C₃×D₁₈₁	C₅×D₃	1	1	yes	characteristic
13	C₅×C₁₈₁	Dic₉	1	1	yes	characteristic, complemented, Hall
14	#10624382	—	9	1	no	Hall
15	C₃×C₁₈₁	C₅×Dic₃	1	1	yes	characteristic
16	D₁₈₁	C₅×D₉	1	1	yes	characteristic
17	C₁₈₁	C₅×Dic₉	1	1	yes	characteristic, complemented, Sylow
18	C₅×Dic₉	—	181	1	no	maximal, Hall
19	C₂×C₅×C₉	—	181	1	no	—
20	C₅×Dic₃	—	543	1	no	—
21	C₅×C₉	#10624382	1	1	yes	characteristic, complemented, Hall
22	Dic₉	—	181	1	no	Hall
23	C₂×C₃×C₅	—	181	1	no	—
24	C₄×C₅	—	1629	1	no	Hall
25	C₂×C₉	—	181	1	no	—
26	C₃×C₅	C₃⋊#10624382	1	1	yes	characteristic
27	Dic₃	—	543	1	no	—
28	C₂×C₅	—	181	1	no	—
29	C₉	C₅×#10624382	1	1	yes	characteristic, complemented, Sylow
30	C₂×C₃	—	181	1	no	—
31	C₅	C₉⋊#10624382	1	1	yes	characteristic, direct product factor, Sylow
32	C₄	—	1629	1	no	Sylow
33	C₃	C₅×C₃⋊#10624382	1	1	yes	characteristic
34	C₂	—	181	1	no	—

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.