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C₃₁×#3013 #16842946

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

712 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)(40,48)(41,44)(42,46)(47,50)(49,51);(36,38,41,47)(37,42,44,51)(39,46,40,49)(43,50,48,45);(33,35)(36,37)(38,42)(39,48)(40,43)(41,44)(45,46)(47,51)(49,50);(36,39,41,40)(37,43,44,48)(38,46,47,49)(42,50,51,45)

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, 1745);