Subgroups — C₁₈₁×C₂₂₃ #52596498

Order 40363.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₂₃	C₁₈₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₁₈₁	C₂₂₃	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. C₂₂₃	C₁₈₁	direct (N × H)
2. C₁₈₁	C₂₂₃	direct (N × H)

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

subgroup	index
C₂₂₃	181
C₁₈₁	223