Finite Group Databasebeta

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C₃₁×#3288 #16843221

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

464 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)(33,38)(35,36)(39,46)(40,44)(41,47)(42,45);(32,33)(34,41)(35,44)(36,38)(37,40)(39,42)(43,46)(45,47);(32,33)(34,39)(35,38)(36,44)(37,40)(41,42)(43,47)(45,46);(32,34)(33,39)(35,45)(36,42)(37,43)(38,46)(40,47)(41,44)

Conjugacy classes & character table

806 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2020);