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C₃₁×#3063 #16842996

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(36,37,41,45)(38,46,48,49)(39,43,42,51)(40,47,50,44);(36,38,40,43,41,48,50,51)(37,42,44,46,45,39,47,49);(33,35)(36,39)(37,43)(38,47)(40,49)(41,42)(44,48)(45,51)(46,50);(38,48)(39,42)(43,51)(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, 1795);