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C₂₃×#2845 #15670464

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

340 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)(26,28,30,31)(32,33,36,35)(34,37,38,39)(41,44)(45,46);(26,30)(28,31)(33,35)(37,39)(40,41,43,44)(42,45,47,46);(24,25)(26,28)(27,29)(30,31)(32,34,36,38)(33,37,35,39)(40,41)(42,46)(43,44)(45,47);(24,26)(25,28)(27,30)(29,31)(32,35,36,33)(34,37,38,39)(40,42,43,47)(41,45,44,46)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1577);