Subgroups — C₉×#16836800 #46799739

Order 33876.

18 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₉×D₉₄₁	C₂	1	1	yes	maximal, characteristic
2	C₃×#16836800	C₃	1	1	yes	maximal, characteristic
3	C₉×C₉₄₁	C₄	1	1	yes	characteristic, complemented, Hall
4	C₃×D₉₄₁	C₂×C₃	1	1	yes	characteristic
5	#16836800	C₉	1	1	yes	characteristic, direct product factor, Hall
6	C₃×C₉₄₁	C₃×C₄	1	1	yes	characteristic
7	D₉₄₁	C₂×C₉	1	1	yes	characteristic
8	C₉₄₁	C₄×C₉	1	1	yes	characteristic, complemented, Sylow
9	C₄×C₉	—	941	1	no	maximal, Hall
10	C₂×C₉	—	941	1	no	—
11	C₃×C₄	—	941	1	no	—
12	C₉	#16836800	1	1	yes	characteristic, direct product factor, Sylow
13	C₂×C₃	—	941	1	no	—
14	C₄	—	941	1	no	Sylow
15	C₃	C₃×#16836800	1	1	yes	characteristic
16	C₂	—	941	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.