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C₃₁×#2110 #16842043

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

160 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)(32,33,35,39,36,41,47,55,37,40,48,54,49,56,62,63)(34,42,44,58,45,51,60,53,43,57,46,61,59,38,50,52);(32,34)(33,38,40,51)(35,46)(36,45)(37,43)(39,53,54,52)(41,42,56,57)(44,48)(47,50)(49,59)(55,61,63,58)(60,62);(34,43)(38,51)(42,57)(44,46)(45,59)(50,60)(52,53)(58,61)

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, 842);