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C₂₃×#3397 #15671016

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

406 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)(25,29)(30,31)(33,36)(34,38)(37,39);(24,25,28,29)(26,30,27,31)(33,37)(36,39);(24,26,28,27)(25,30,29,31)(32,33)(34,39)(35,37)(36,38);(24,27,28,26)(25,30,29,31)

Conjugacy classes & character table

667 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2129);