Subgroups — C₅×C₃₄₈₁ #31775111

Order 17405.

6 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃₄₈₁	C₅	1	1	yes	maximal, characteristic, direct product factor, Sylow
2	C₅×C₅₉	C₅₉	1	1	yes	maximal, characteristic
3	C₅₉	C₅×C₅₉	1	1	yes	characteristic
4	C₅	C₃₄₈₁	1	1	yes	characteristic, direct product factor, Sylow

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

N	H ≅ G/N	type
1. C₃₄₈₁	C₅	direct (N × H)
4. C₅	C₃₄₈₁	direct (N × H)

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

subgroup	index
C₃₄₈₁	5
C₅×C₅₉	59