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C₂₃×#3084 #15670703

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

376 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)(26,30,31,28)(32,33,37,41)(34,38,43,47)(35,40,36,45)(39,44,46,42);(24,26,27,31)(25,28,29,30)(32,34)(33,38)(35,44)(36,42)(37,43)(39,45)(40,46)(41,47);(32,34)(33,39)(35,42)(36,44)(37,43)(38,45)(40,47)(41,46);(32,35,37,36)(33,40,41,45)(34,42,43,44)(38,39,47,46)

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, 1816);