Subgroups — C₁₁×C₂₅₃₁ #42123774

Order 27841.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₅₃₁	C₁₁	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₁₁	C₂₅₃₁	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. C₂₅₃₁	C₁₁	direct (N × H)
2. C₁₁	C₂₅₃₁	direct (N × H)

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

subgroup	index
C₂₅₃₁	11
C₁₁	2531