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C₂₃×#2528 #15670147

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

364 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 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)(26,28,30,31)(34,38)(37,39)(41,45)(43,47);(24,25,27,29)(26,28,30,31)(32,33,36,35)(34,37,38,39)(40,41,44,45)(42,43,46,47);(24,25)(26,28)(27,29)(30,31)(32,34)(33,37)(35,39)(36,38)(40,42,44,46)(41,43,45,47);(24,26,27,30)(25,28,29,31)(32,35,36,33)(34,39,38,37)(40,43)(41,46)(42,45)(44,47)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1260);