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C₃₁×#1534 #16841467

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

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 266);