Subgroups — C₈₉×C₆₃₁ #64159804

Order 56159.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₆₃₁	C₈₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₈₉	C₆₃₁	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. C₆₃₁	C₈₉	direct (N × H)
2. C₈₉	C₆₃₁	direct (N × H)

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

subgroup	index
C₆₃₁	89
C₈₉	631