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C₂₃×#3077 #15670696

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

440 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)(24,25,27,29)(26,30,31,28)(32,33)(34,36)(35,37)(38,39);(24,26,27,31)(25,28,29,30);(33,36)(34,39)(37,38);(33,37)(36,38)

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, 1809);