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C₂₃×#3533 #15671152

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1060 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)(25,28)(26,30)(32,33)(34,37)(35,40)(36,41)(38,42)(39,44)(43,45)(46,47);(25,28)(29,31)(33,34)(35,42)(39,41)(43,47);(24,25)(26,29)(27,28)(30,31)(32,34,37,33)(35,40,42,38)(36,41,44,39)(43,46,47,45);(24,26)(25,29)(27,30)(28,31)(32,35)(33,38)(34,40)(36,43)(37,42)(39,45)(41,46)(44,47);(32,36)(33,39)(34,41)(35,43)(37,44)(38,45)(40,46)(42,47)

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, 2265);