Finite Group Databasebeta

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C₃₁×#2949 #16842882

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

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, 1681);