Finite Group Databasebeta

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C₃₁×#2521 #16842454

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

518 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 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)(33,34)(37,40)(41,43)(44,45,48,47)(46,50,51,49);(32,33,35,34)(46,51)(49,50);(36,37)(38,41)(39,40)(42,43)(44,46)(45,49)(47,50)(48,51);(32,34,35,33)(36,38,39,42)(37,41,40,43)(44,47,48,45)(46,50,51,49)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1253);