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C₂₃×#3458 #15671077

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

996 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(34,40)(35,39)(36,38)(37,41)(42,46)(43,45)(44,47);(32,34)(33,37)(35,42)(36,41)(38,40)(39,44)(43,47)(45,46);(24,26,27,31)(25,28,29,30)(34,41)(37,40)(42,47)(44,46);(33,38)(37,40)(39,45)(44,46);(32,35,36,43)(33,39,38,45)(34,42,41,47)(37,44,40,46)

Conjugacy classes & character table

1012 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 2190);