Subgroups — C₂₃×C₈₄₁ #34083992

Order 19343.

6 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₈₄₁	C₂₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₂₃×C₂₉	C₂₉	1	1	yes	maximal, characteristic
3	C₂₉	C₂₃×C₂₉	1	1	yes	characteristic
4	C₂₃	C₈₄₁	1	1	yes	characteristic, direct product factor, Sylow

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

N	H ≅ G/N	type
1. C₈₄₁	C₂₃	direct (N × H)
4. C₂₃	C₈₄₁	direct (N × H)

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

subgroup	index
C₈₄₁	23
C₂₃×C₂₉	29