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C₂₃×#2489 #15670108

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,26,27)(29,31)(30,34)(37,40)(38,42);(24,25,26,27)(28,29,32,31)(30,33,34,35)(36,37)(38,41)(39,40)(42,43);(24,25)(26,27)(28,30)(29,33)(31,35)(32,34);(28,31,32,29)(30,35,34,33)(36,38,39,42)(37,41,40,43)

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, 1221);