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C₂₃×#2529 #15670148

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

398 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)(26,28)(27,30)(29,31)(32,33,35,37)(34,36,38,39)(42,46)(45,47);(25,26)(29,30)(32,33,35,37)(34,36,38,39)(40,41,44,43)(42,45,46,47);(24,26,28,25)(27,30,31,29)(32,33)(34,36)(35,37)(38,39)(40,42)(41,45)(43,47)(44,46);(24,27,28,31)(25,29,26,30)(32,34,35,38)(33,36,37,39)(40,43,44,41)(42,47,46,45)

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, 1261);