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C₂₃×#2578 #15670197

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(24,25,28,27)(26,30,31,29)(32,33)(34,38)(35,39)(36,37)(40,41)(42,46)(43,45)(44,47);(26,31)(29,30)(33,37)(34,39)(40,41,43,45)(42,44,47,46);(24,26)(25,29)(27,30)(28,31)(32,34)(33,35)(36,39)(37,38)(40,41)(42,44)(43,45)(46,47);(24,27,28,25)(26,30,31,29)(32,35)(33,34)(36,38)(37,39)(40,42,43,47)(41,44,45,46)

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, 1310);