Subgroups — C₅₉×C₅₂₉ #44530121

Order 31211.

6 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂₃×C₅₉	C₂₃	1	1	yes	maximal, characteristic
2	C₅₂₉	C₅₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
3	C₅₉	C₅₂₉	1	1	yes	characteristic, direct product factor, Sylow
4	C₂₃	C₂₃×C₅₉	1	1	yes	characteristic

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

N	H ≅ G/N	type
2. C₅₂₉	C₅₉	direct (N × H)
3. C₅₉	C₅₂₉	direct (N × H)

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

subgroup	index
C₂₃×C₅₉	23
C₅₂₉	59