Subgroups — C₁₇×C₂₉₆₉ #61797142

Order 50473.

4 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₉₆₉	C₁₇	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₁₇	C₂₉₆₉	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. C₂₉₆₉	C₁₇	direct (N × H)
2. C₁₇	C₂₉₆₉	direct (N × H)

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

subgroup	index
C₂₉₆₉	17
C₁₇	2969