Subgroups — C₉×#16809824 #44474913

Order 30195.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#16809824	C₃	1	1	yes	maximal, characteristic
2	C₉×C₁₁×C₆₁	C₅	1	1	yes	maximal, characteristic, complemented, Hall
3	#16809824	C₉	1	1	yes	characteristic, direct product factor, Hall
4	C₉×C₆₁⋊C₅	—	11	1	no	maximal, Hall
5	C₃×C₁₁×C₆₁	C₃×C₅	1	1	yes	characteristic
6	C₃×C₆₁⋊C₅	—	11	1	no	—
7	C₁₁×C₆₁	C₅×C₉	1	1	yes	characteristic, complemented, Hall
8	C₉×C₆₁	C₁₁⋊C₅	1	1	yes	characteristic, complemented, Hall
9	C₉×C₁₁⋊C₅	—	61	1	no	maximal, Hall
10	C₆₁⋊C₅	—	11	1	no	Hall
11	C₃×C₆₁	C₃×C₁₁⋊C₅	1	1	yes	characteristic
12	C₃×C₁₁⋊C₅	—	61	1	no	—
13	C₉×C₁₁	C₆₁⋊C₅	1	1	yes	characteristic, complemented, Hall
14	C₆₁	C₉×C₁₁⋊C₅	1	1	yes	characteristic, complemented, Sylow
15	C₁₁⋊C₅	—	61	1	no	Hall
16	C₅×C₉	—	671	1	no	Hall
17	C₃×C₁₁	C₃×C₆₁⋊C₅	1	1	yes	characteristic
18	C₃×C₅	—	671	1	no	—
19	C₁₁	C₉×C₆₁⋊C₅	1	1	yes	characteristic, complemented, Sylow
20	C₉	#16809824	1	1	yes	characteristic, direct product factor, Sylow
21	C₅	—	671	1	no	Sylow
22	C₃	C₃×#16809824	1	1	yes	characteristic

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.