Subgroups — C₃₁×C₁₇₇₇ #64110969

Order 55087.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇₇₇	C₃₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₃₁	C₁₇₇₇	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. C₁₇₇₇	C₃₁	direct (N × H)
2. C₃₁	C₁₇₇₇	direct (N × H)

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

subgroup	index
C₁₇₇₇	31
C₃₁	1777