Subgroups — C₁₇×C₂₈₉ #19096830

Order 4913.

38 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₁₇²	C₁₇	1	1	yes	maximal, characteristic
2	C₂₈₉	C₁₇	1	17	yes	maximal, direct product factor
3	C₁₇	C₂₈₉	1	17	yes	direct product factor
4	C₁₇	C₁₇²	1	1	yes	characteristic

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₂₈₉	C₁₇	direct (N × H)
3. C₁₇	C₂₈₉	direct (N × H)