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C₃₁×#3040 #16842973

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

500 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 51 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)(33,35)(36,37)(38,46)(39,45)(40,42)(41,44)(43,47)(48,51)(49,50);(32,33,34,35)(37,42)(43,50)(44,45)(46,51);(36,38)(37,43)(39,47)(40,48)(41,49)(42,50)(44,46)(45,51);(36,39,40,41)(37,44,42,45)(38,47,48,49)(43,46,50,51)

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, 1772);