Subgroups — #17987331

Order 4617.

60 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#10587018	C₃	1	3	yes	maximal
2	C₉²×C₁₉	C₃	1	1	yes	maximal, characteristic
3	C₃×C₉×C₁₉	C₉	1	3	yes	—
4	C₃×C₉×C₁₉	C₃²	1	1	yes	characteristic
5	#10587018	C₉	1	9	yes	complemented
6	#6864	—	19	1	no	maximal, Sylow
7	C₃²×C₁₉	C₃×C₉	1	1	yes	characteristic
8	C₉×C₁₉	—	3	3	no	—
9	C₉×C₁₉	C₃×C₉	1	3	yes	—
10	C₃×C₂₇	—	19	3	no	—
11	C₉²	C₁₉⋊C₃	1	1	yes	characteristic
12	C₃×C₁₉	C₉²	1	1	yes	characteristic
13	C₃×C₁₉	C₂₇⋊C₃	1	3	yes	—
14	C₃×C₉	#4294	1	3	yes	—
15	C₃×C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
16	C₂₇	—	19	9	no	—
17	C₁₉	#6864	1	1	yes	characteristic, complemented, Sylow
18	C₃²	C₃×#4294	1	1	yes	characteristic
19	C₉	—	3	3	no	—
20	C₉	C₉×C₁₉⋊C₃	1	3	yes	—
21	C₃	C₉×#4294	1	1	yes	characteristic
22	C₃	#13095312	1	3	yes	—

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

N	H ≅ G/N	type
5. #10587018	C₉	semidirect
17. C₁₉	#6864	semidirect

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