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C₃×D₅×Q₁₆ #91634

• supersolvable
• metabelian
• solvable
• monomial

Aliases

Splittings

Subgroups

120 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 24 points:

(1,11,5,3)(2,15,8,6)(4,10,14,13)(7,9,12,16)(17,18,20,21,19)(22,23,24);(1,8,5,2)(3,16,11,9)(4,7,14,12)(6,10,15,13);(18,19)(20,21)

Conjugacy classes & character table

84 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(480, 710);