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C₃₁×#2070 #16842003

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

196 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)(32,33,36,50,37,41,52,40)(34,42,44,38,45,58,62,54)(35,46,48,55,49,39,51,56)(43,59,60,53,47,57,61,63);(32,34,36,44,37,45,52,62)(33,38,40,42,41,54,50,58)(35,47,48,61,49,43,51,60)(39,53,55,59,46,63,56,57);(32,35,37,49)(33,39,41,46)(34,43,45,47)(36,51,52,48)(38,53,54,63)(40,56,50,55)(42,57,58,59)(44,61,62,60)

Conjugacy classes & character table

713 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 802);