Finite Group Databasebeta

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C₃₁×#2568 #16842501

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

468 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)(33,35)(36,37,40,43)(38,42,39,41)(44,45,48,46)(47,50,51,49);(36,38,40,39)(37,41,43,42)(44,46,48,45)(47,49,51,50);(32,33,34,35)(36,37)(38,41)(39,42)(40,43)(44,47,48,51)(45,49,46,50);(36,39,40,38)(37,42,43,41)

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, 1300);