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C₂₃×#2398 #15670017

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

568 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)(28,29,32,34)(30,35,31,33)(36,37,39,41)(38,42,43,40);(24,25)(26,27)(28,30,32,31)(29,33,34,35)(36,38,39,43)(37,40,41,42);(25,27)(37,41)(40,42);(28,31,32,30)(29,33,34,35)

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, 1130);