Subgroups — C₁₂₇×C₄₂₁ #62974366

Order 53467.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₄₂₁	C₁₂₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₁₂₇	C₄₂₁	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. C₄₂₁	C₁₂₇	direct (N × H)
2. C₁₂₇	C₄₂₁	direct (N × H)

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

subgroup	index
C₄₂₁	127
C₁₂₇	421