Subgroups — #17987367

Order 4617.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13095301	C₃	1	3	yes	maximal, complemented
2	C₃×C₁₉×C₂₇	C₃	1	1	yes	maximal, characteristic
3	C₃×C₉×C₁₉	C₉	1	1	yes	characteristic
4	C₁₉×C₂₇	C₉	1	2	yes	—
5	C₁₉×C₂₇	C₃²	1	1	yes	characteristic
6	C₈₁⋊C₃	—	19	1	no	maximal, Sylow
7	C₃²×C₁₉	C₂₇	1	1	yes	characteristic
8	C₉×C₁₉	C₂₇	1	2	yes	—
9	C₉×C₁₉	C₃×C₉	1	1	yes	characteristic
10	C₃×C₂₇	C₁₉⋊C₃	1	1	yes	characteristic
11	C₈₁	—	19	3	no	—
12	C₃×C₁₉	—	3	1	no	—
13	C₃×C₁₉	C₃×C₂₇	1	1	yes	characteristic
14	C₃×C₉	#4294	1	1	yes	characteristic
15	C₂₇	#4294	1	2	yes	—
16	C₂₇	C₃×C₁₉⋊C₃	1	1	yes	characteristic
17	C₁₉	C₈₁⋊C₃	1	1	yes	characteristic, complemented, Sylow
18	C₃²	#10587018	1	1	yes	characteristic
19	C₉	#10587018	1	2	yes	—
20	C₉	C₃×#4294	1	1	yes	characteristic
21	C₃	—	3	1	no	—
22	C₃	C₃×#10587018	1	1	yes	characteristic

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

N	H ≅ G/N	type
1. #13095301	C₃	semidirect
17. C₁₉	C₈₁⋊C₃	semidirect

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.