Finite Group Databasebeta

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C₂×C₅⋊(#41⋊C₃) #91962

• solvable

Aliases

Splittings

Subgroups

98 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 23 points:

(1,2)(4,5)(6,7)(8,9,12,15)(10,20,19,21,16,14,17,22,11,13,18,23);(1,2)(3,4,6,7,5)(8,18,12,16)(9,22,15,20)(10,11,17,19)(13,14,21,23)

Conjugacy classes & character table

56 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 1038);