Finite Group Databasebeta

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C₃₁×#1425 #16841358

• nilpotent
• metacyclic
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

50 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 2 generators on 95 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)(32,33,36,42,39,44,38,60)(34,45,48,70,51,72,50,82)(35,52,54,83,56,85,55,86)(37,58,57,68,59,87,53,43)(40,61,62,78,64,77,88,47)(41,65,66,75,67,74,84,46)(49,80,79,92,81,95,76,71)(63,73,69,89,90,94,91,93);(32,34,46,73,37,49,54,61,36,48,65,89,57,79,56,78,39,51,75,94,59,81,55,77,38,50,74,93,53,76,35,47)(33,40,52,71,43,63,84,82,60,88,86,95,87,91,67,72,44,64,85,92,68,90,66,70,42,62,83,80,58,69,41,45)

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, 157);