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C₂₃×#3094 #15670713

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

462 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)(26,29)(27,28)(30,31)(33,37)(34,35)(38,39);(25,28)(29,31);(24,26,27,30)(25,29,28,31)(32,33)(34,37)(35,39)(36,38);(32,34,36,35)(33,37,38,39)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1826);