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C₂₃×#2070 #15669689

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

196 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(24,25,28,42,29,33,44,32)(26,34,36,30,37,50,54,46)(27,38,40,47,41,31,43,48)(35,51,52,45,39,49,53,55);(24,26,28,36,29,37,44,54)(25,30,32,34,33,46,42,50)(27,39,40,53,41,35,43,52)(31,45,47,51,38,55,48,49);(24,27,29,41)(25,31,33,38)(26,35,37,39)(28,43,44,40)(30,45,46,55)(32,48,42,47)(34,49,50,51)(36,53,54,52)

Conjugacy classes & character table

529 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 802);