Finite Group Databasebeta

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C₂₃×#2496 #15670115

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(25,26)(28,29,31,33)(30,34,35,32)(38,42)(40,43);(24,25,27,26)(28,29)(30,32)(31,33)(34,35)(36,37,39,41)(38,43,42,40);(28,29)(30,32)(31,33)(34,35)(36,38)(37,40)(39,42)(41,43);(24,26,27,25)(28,30,31,35)(29,32,33,34)

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, 1228);