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C₃₁×#3060 #16842993

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

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 1792);