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C₃₁×#2951 #16842884

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

484 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)(38,43)(39,45)(40,44)(41,46)(42,47)(48,51)(49,50);(36,38)(37,42)(39,47)(40,49)(41,48)(43,44)(45,51)(46,50);(32,34,35,33)(36,38)(37,43)(39,49)(40,47)(41,48)(42,44)(45,50)(46,51);(36,39,41,40)(37,44,46,45)(38,47,48,49)(42,43,50,51)

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, 1683);