Finite Group Databasebeta

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C₂₃×#2492 #15670111

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

508 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 43 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(24,25,26,27)(28,29)(30,34)(31,33)(32,35)(36,37,40,43)(38,42,39,41);(24,25,26,27)(28,29,31,33)(30,32,35,34)(36,38,40,39)(37,41,43,42);(24,25)(26,27)(28,29)(30,32)(31,33)(34,35);(28,30,31,35)(29,32,33,34)(36,39,40,38)(37,42,43,41)

Conjugacy classes & character table

874 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 1224);