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C₂₃×#3521 #15671140

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1042 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)(29,31)(32,33)(34,40)(35,43)(36,37)(38,42)(39,44)(41,45)(46,47);(33,37)(38,40)(39,43)(45,46);(24,25)(26,29)(27,28)(30,31)(32,34,36,42)(33,38,37,40)(35,41,44,47)(39,45,43,46);(32,33)(34,38)(35,39)(36,37)(40,42)(41,45)(43,44)(46,47);(24,26,27,30)(25,29,28,31)(32,35)(33,39)(34,41)(36,44)(37,43)(38,45)(40,46)(42,47)

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, 2253);