Subgroups — C₉×C₈₂₉⋊C₃ #36375522

Order 22383.

20 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×C₈₂₉⋊C₃	C₃	1	1	yes	maximal, characteristic
2	C₉×C₈₂₉	C₃	1	1	yes	maximal, characteristic, complemented
3	#21418659	C₃	1	2	yes	maximal, complemented
4	C₃×C₈₂₉	C₃²	1	1	yes	characteristic
5	C₈₂₉⋊C₃	C₉	1	3	yes	direct product factor
6	C₈₂₉	C₃×C₉	1	1	yes	characteristic, complemented, Sylow
7	C₃×C₉	—	829	1	no	maximal, Sylow
8	C₃²	—	829	1	no	—
9	C₉	—	829	2	no	—
10	C₉	C₈₂₉⋊C₃	1	1	yes	characteristic, direct product factor
11	C₃	—	829	3	no	—
12	C₃	C₃×C₈₂₉⋊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.