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C₃₁×#1454 #16841387

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

178 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)(32,33,35,39,36,38,42,45)(34,37,41,43,40,44,46,47)(48,49)(50,53)(51,55)(52,54)(56,60)(57,59)(58,61)(62,63);(32,34)(33,37)(35,41)(36,40)(38,44)(39,43)(42,46)(45,47)(48,50,51,56,52,57,58,62)(49,53,55,60,54,59,61,63);(33,38)(34,40)(39,45)(41,46)(49,54)(53,59)(55,61)(60,63)

Conjugacy classes & character table

1736 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 186);