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C₂₃×#3495 #15671114

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1022 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)(26,30)(28,31)(32,33,37,40)(34,35,42,38)(36,44,45,39)(41,46,47,43);(24,25,27,29)(26,28,30,31)(32,34,37,42)(33,38,40,35)(36,41,45,47)(39,46,44,43);(24,26)(25,28)(27,30)(29,31)(32,35)(33,34)(36,43)(37,38)(39,41)(40,42)(44,47)(45,46);(32,34)(33,35)(36,41)(37,42)(38,40)(39,43)(44,46)(45,47);(32,36,37,45)(33,39,40,44)(34,41,42,47)(35,43,38,46)

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, 2227);