Subgroups — C₁₉×C₂₁₁⋊C₉ #49115288

Order 36081.

12 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₁₉×C₂₁₁	C₃	1	1	yes	maximal, characteristic
2	C₁₉×C₂₁₁	C₉	1	1	yes	characteristic, complemented, Hall
3	C₂₁₁⋊C₉	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Hall
4	C₃×C₂₁₁	C₃×C₁₉	1	1	yes	characteristic
5	C₂₁₁	C₉×C₁₉	1	1	yes	characteristic, complemented, Sylow
6	C₉×C₁₉	—	211	1	no	maximal, Hall
7	C₃×C₁₉	C₂₁₁⋊C₃	1	1	yes	characteristic
8	C₁₉	C₂₁₁⋊C₉	1	1	yes	characteristic, direct product factor, Sylow
9	C₉	—	211	1	no	Sylow
10	C₃	C₁₉×C₂₁₁⋊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.