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C₂₃×#1398 #15669017

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

60 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 55 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,26,31,27,33,36,46,28,34,37,44,38,48,50,54,29,32,35,45,39,47,49,55,40,30,41,42,51,43,52,53);(25,30,32,34)(26,35)(31,44,45,42)(33,43,47,48)(36,49)(37,41)(46,54,55,53)(50,52)

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, 130);