Finite Group Databasebeta

?

← Prev (#15670745) Next (#15670747) →

C₂₃×#3127 #15670746

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

358 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 63 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)(26,29)(27,28)(30,31)(32,33,36,40)(34,42,44,38)(35,46,47,55)(37,50,49,41)(39,51,54,48)(43,58,59,63)(45,53,61,57)(52,60,56,62);(25,28)(29,31)(32,34)(33,38)(35,43)(36,44)(37,45)(39,52)(40,42)(41,53)(46,63)(47,59)(48,60)(49,61)(50,57)(51,62)(54,56)(55,58);(32,35,36,47)(33,39,40,54)(34,43,44,59)(37,51,49,48)(38,52,42,56)(41,55,50,46)(45,62,61,60)(53,58,57,63);(24,26,27,30)(25,29,28,31)(34,44)(38,42)(43,59)(45,61)(52,56)(53,57)(58,63)(60,62)

Conjugacy classes & character table

736 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1859);