Subgroups — #17987366

Order 4617.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₇×C₁₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	#13095301	C₃	1	2	yes	maximal, complemented
3	C₁₉×C₈₁	C₃	1	1	yes	maximal, characteristic, complemented
4	C₉×C₁₉⋊C₃	C₉	1	1	yes	characteristic
5	C₁₉×C₂₇	C₃²	1	1	yes	characteristic
6	#10587018	C₉	1	2	yes	—
7	C₈₁⋊C₃	—	19	1	no	maximal, Sylow
8	C₃×C₁₉⋊C₃	C₂₇	1	1	yes	characteristic
9	C₉×C₁₉	C₃×C₉	1	1	yes	characteristic
10	#4294	C₂₇	1	2	yes	—
11	C₃×C₂₇	—	19	1	no	—
12	C₈₁	—	19	2	no	—
13	C₈₁	C₁₉⋊C₃	1	1	yes	characteristic, complemented
14	C₃×C₁₉	C₃×C₂₇	1	1	yes	characteristic
15	C₁₉⋊C₃	—	3	1	no	—
16	C₃×C₉	—	19	1	no	—
17	C₂₇	—	19	2	no	—
18	C₂₇	C₃×C₁₉⋊C₃	1	1	yes	characteristic
19	C₁₉	C₈₁⋊C₃	1	1	yes	characteristic, complemented, Sylow
20	C₃²	—	19	1	no	—
21	C₉	—	19	2	no	—
22	C₉	C₉×C₁₉⋊C₃	1	1	yes	characteristic
23	C₃	—	57	1	no	—
24	C₃	C₂₇×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.