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C₃₁×#3188 #16843121

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

472 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)(32,33)(34,38)(35,37)(36,39)(40,41)(42,47)(43,46)(44,45);(32,34)(33,36)(35,39)(37,38)(40,42,43,44)(41,45,46,47);(34,39)(36,38)(41,45)(42,44)(46,47);(33,37)(36,38)(41,46)(45,47)

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, 1920);