Subgroups — C₁₉×C₂₅₁ #18012001

Order 4769.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₅₁	C₁₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₁₉	C₂₅₁	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. C₂₅₁	C₁₉	direct (N × H)
2. C₁₉	C₂₅₁	direct (N × H)

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

subgroup	index
C₂₅₁	19
C₁₉	251