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C₂₃×#1375 #15668994

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

140 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 43 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)(26,27)(28,29,31,36,32,34,40,41,33,37,39,43,30,35,38,42);(25,27)(29,34,37,35)(31,39)(36,42,43,41)(38,40)

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, 107);