Subgroups — C₉⋊A₄ #1092

Order 108.

19 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×A₄	C₃	1	1	yes	maximal, characteristic
2	C₂²×C₉	C₃	1	1	yes	maximal, characteristic, complemented
3	C₂²⋊C₉	C₃	1	2	yes	maximal, complemented
4	3₋¹⁺²	—	4	1	no	maximal, Sylow
5	C₂×C₉	—	3	1	no	—
6	C₂²×C₃	C₃²	1	1	yes	characteristic
7	A₄	—	3	1	no	—
8	C₃²	—	4	1	no	—
9	C₉	—	4	2	no	—
10	C₉	A₄	1	1	yes	characteristic, complemented
11	C₂×C₃	—	3	1	no	—
12	C₂²	3₋¹⁺²	1	1	yes	characteristic, complemented, Sylow
13	C₃	—	12	1	no	—
14	C₃	C₃×A₄	1	1	yes	characteristic
15	C₂	—	3	1	no	—

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.