Subgroups — C₃×C₄₅₂₃ #28330833

Order 13569.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₅₂₃	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₃	C₄₅₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. C₄₅₂₃	C₃	direct (N × H)
2. C₃	C₄₅₂₃	direct (N × H)

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₄₅₂₃	3
C₃	4523