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C₃₁×#1840 #16841773

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

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, 572);