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C₂₃×#3063 #15670682

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(28,29,33,37)(30,38,40,41)(31,35,34,43)(32,39,42,36);(28,30,32,35,33,40,42,43)(29,34,36,38,37,31,39,41);(25,27)(28,31)(29,35)(30,39)(32,41)(33,34)(36,40)(37,43)(38,42);(30,40)(31,34)(35,43)(38,41)

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, 1795);