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C₃₁×#2176 #16842109

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

148 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 67 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)(32,33,35,34)(36,37)(38,46)(39,50)(40,55)(41,43)(42,47)(44,53)(45,52)(48,66)(49,63)(51,61)(54,62)(56,60)(57,65)(58,67)(59,64);(36,38,41,49)(37,42,43,57)(39,51,54,67)(40,56,52,48)(44,60,59,66)(45,61,55,58)(46,62,63,50)(47,64,65,53);(32,34,35,33)(37,43)(42,57)(44,59)(45,55)(46,63)(50,62)(58,61)(60,66)

Conjugacy classes & character table

992 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 908);