Subgroups — #13095310

Order 1539.

24 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₁₉×C₂₇	C₃	1	1	yes	maximal, characteristic, complemented
3	#10587018	C₃	1	2	yes	maximal, complemented
4	C₃×C₁₉⋊C₃	C₉	1	1	yes	characteristic
5	C₉×C₁₉	C₃²	1	1	yes	characteristic
6	#4294	C₉	1	2	yes	—
7	C₂₇⋊C₃	—	19	1	no	maximal, Sylow
8	C₃×C₁₉	C₃×C₉	1	1	yes	characteristic
9	C₁₉⋊C₃	—	3	1	no	—
10	C₃×C₉	—	19	1	no	—
11	C₂₇	—	19	2	no	—
12	C₂₇	C₁₉⋊C₃	1	1	yes	characteristic, complemented
13	C₁₉	C₂₇⋊C₃	1	1	yes	characteristic, complemented, Sylow
14	C₃²	—	19	1	no	—
15	C₉	—	19	2	no	—
16	C₉	C₃×C₁₉⋊C₃	1	1	yes	characteristic
17	C₃	—	57	1	no	—
18	C₃	C₉×C₁₉⋊C₃	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.