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C₂₃×#1384 #15669003

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

132 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)(26,36,38,50)(27,33)(28,43)(29,45)(30,35)(31,37,46,51)(32,41)(34,44)(39,54,52,48)(40,55,53,47)(42,49);(24,26,28,39,44,53,42,51,30,38,41,52,29,40,27,37)(25,31,33,47,45,54,32,36,35,46,49,55,34,48,43,50)

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, 116);