Subgroups — C₉×#11927415 #24926697

Order 10980.

36 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₅×C₉×D₆₁	C₂	1	1	yes	maximal, characteristic
2	C₃×#11927415	C₃	1	1	yes	maximal, characteristic
3	C₅×C₉×C₆₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₉×#6923	—	5	1	no	maximal, Hall
5	C₃×C₅×D₆₁	C₂×C₃	1	1	yes	characteristic
6	#11927415	C₉	1	1	yes	characteristic, direct product factor, Hall
7	C₉×D₆₁	D₅	1	1	yes	characteristic
8	C₃×C₅×C₆₁	C₃×C₄	1	1	yes	characteristic
9	C₃×#6923	—	5	1	no	—
10	C₅×D₆₁	C₂×C₉	1	1	yes	characteristic
11	C₉×C₆₁	Dic₅	1	1	yes	characteristic, complemented, Hall
12	C₃×D₆₁	C₃×D₅	1	1	yes	characteristic
13	C₅×C₆₁	C₄×C₉	1	1	yes	characteristic, complemented, Hall
14	#6923	—	5	1	no	Hall
15	C₃×C₆₁	C₃×Dic₅	1	1	yes	characteristic
16	C₉×Dic₅	—	61	1	no	maximal, Hall
17	D₆₁	C₉×D₅	1	1	yes	characteristic
18	C₂×C₅×C₉	—	61	1	no	—
19	C₆₁	C₉×Dic₅	1	1	yes	characteristic, complemented, Sylow
20	C₃×Dic₅	—	61	1	no	—
21	C₅×C₉	#6923	1	1	yes	characteristic, complemented, Hall
22	C₄×C₉	—	305	1	no	Hall
23	C₂×C₃×C₅	—	61	1	no	—
24	Dic₅	—	61	1	no	Hall
25	C₂×C₉	—	61	1	no	—
26	C₃×C₅	C₃×#6923	1	1	yes	characteristic
27	C₃×C₄	—	305	1	no	—
28	C₂×C₅	—	61	1	no	—
29	C₉	#11927415	1	1	yes	characteristic, direct product factor, Sylow
30	C₂×C₃	—	61	1	no	—
31	C₅	C₉×#6923	1	1	yes	characteristic, complemented, Sylow
32	C₄	—	305	1	no	Sylow
33	C₃	C₃×#11927415	1	1	yes	characteristic
34	C₂	—	61	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.