Finite Group Databasebeta

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C₃₁×#2935 #16842868

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

492 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)(32,33)(34,35)(36,37,41,44,40,43,49,51)(38,45,47,48,46,42,50,39);(33,35)(36,38)(37,42)(39,44)(40,46)(41,47)(43,45)(48,51)(49,50);(36,39,41,45,40,48,49,42)(37,38,44,47,43,46,51,50);(38,46)(39,48)(42,45)(47,50)

Conjugacy classes & character table

1550 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1667);