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C₂₃×#1414 #15669033

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

84 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)(27,38,40,54)(28,42,44,32)(29,33)(30,35,45,52)(31,41)(37,51,43,50)(39,46,53,47)(48,55);(24,26)(25,30,33,47)(27,39)(28,43)(29,37)(31,34,48,51)(32,45,42,46)(35,40)(36,44)(38,49,54,50)(41,53)(52,55)

Conjugacy classes & character table

391 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 146);