Subgroups — C₄₃×C₁₂₅₉ #64102014

Order 54137.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₂₅₉	C₄₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₄₃	C₁₂₅₉	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. C₁₂₅₉	C₄₃	direct (N × H)
2. C₄₃	C₁₂₅₉	direct (N × H)

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

subgroup	index
C₁₂₅₉	43
C₄₃	1259