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C₂₃×#2956 #15670575

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

458 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 39 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,28,32,29,26,33,31)(27,30,36,38,35,34,39,37);(24,26)(25,29)(27,34)(28,31)(30,35)(32,33)(36,37)(38,39);(24,27,28,36,29,35,33,39)(25,30,32,38,26,34,31,37);(27,35)(30,34)(36,39)(37,38)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1688);