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C₂₃×#2576 #15670195

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(26,30)(27,28)(29,31)(32,33,36,35)(34,38,39,37)(41,44)(42,46);(25,28)(29,30)(34,39)(37,38)(40,41,43,44)(42,45,46,47);(24,25)(26,29)(27,28)(30,31)(32,34)(33,37)(35,38)(36,39)(40,41)(42,45)(43,44)(46,47);(24,26)(25,29)(27,31)(28,30)(32,35,36,33)(34,38,39,37)(40,42,43,46)(41,45,44,47)

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, 1308);