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C₃₁×#2618 #16842551

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

632 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 47 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)(36,37,38,39)(40,41)(42,44)(43,45)(46,47);(33,35)(40,41,43,45)(42,44,47,46);(32,33)(34,35)(36,37)(38,39)(40,41)(42,46)(43,45)(44,47);(40,42)(41,44)(43,47)(45,46)

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, 1350);