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C₃₁×#2177 #16842110

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

172 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 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)(32,33,35,34)(36,37,39,42)(38,41,47,49)(40,48,46,44)(43,51,50,45);(37,41)(38,45)(40,46)(42,49)(43,44)(47,51)(48,50);(32,34,35,33)(37,42)(41,49)(43,50)(44,48)

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, 909);