Finite Group Databasebeta

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C₃₁×#1818 #16841751

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

292 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 59 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31)(32,33)(34,35)(36,37)(38,41)(39,40)(42,43)(44,45,47,50,48,51,54,57)(46,49,53,56,52,55,58,59);(37,40)(41,43)(44,46)(45,49)(47,53)(48,52)(50,56)(51,55)(54,58)(57,59);(33,35)(36,38,39,42)(37,41,40,43)(46,52)(49,55)(53,58)(56,59)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 550);