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C₃₁×#3056 #16842989

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

496 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)(32,33)(34,35)(36,37,40,43)(38,44,45,51)(39,47,48,42)(41,49,50,46);(36,38,39,46,40,45,48,49)(37,41,42,44,43,50,47,51);(33,35);(38,45)(41,50)(44,51)(46,49)

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, 1788);