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C₂₃×#1407 #15669026

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

98 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)(26,34,36,49)(27,38,39,54)(28,41,43,32)(29,33)(30,35,44,51)(31,40)(37,47,42,50)(45,52,46,53)(48,55);(24,26,29,37)(25,30,33,46)(27,35,39,53)(28,42,43,36)(31,47,48,34)(32,44,41,45)(38,50,54,49)(40,51,55,52)

Conjugacy classes & character table

322 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 139);