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C₃₁×#2179 #16842112

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

144 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 63 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)(32,33,37,42,38,44,54,43)(34,45,47,60,49,62,48,56)(35,41,50,59,51,40,36,52)(39,55,57,63,58,53,61,46);(32,34)(33,39)(35,46)(36,53)(37,47)(38,49)(40,56)(41,60)(42,57)(43,61)(44,58)(45,52)(48,54)(50,55)(51,63)(59,62);(32,35,37,50,38,51,54,36)(33,40,42,52,44,41,43,59)(34,46,47,55,49,63,48,53)(39,56,57,45,58,60,61,62)

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, 911);