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C₂₃×#2357 #15669976

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

560 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)(28,29,32,31)(30,34,35,33)(36,37,41,40)(38,43,39,42);(29,31)(33,34)(36,38,41,39)(37,42,40,43);(28,30)(29,33)(31,34)(32,35)(36,39,41,38)(37,42,40,43);(28,31,32,29)(30,34,35,33)(36,40,41,37)(38,42,39,43)

Conjugacy classes & character table

1150 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1089);