Finite Group Databasebeta

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C₃₁×#3542 #16843475

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1160 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 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)(32,33,36,34)(35,38,39,37)(41,44)(42,46);(33,34)(37,38)(41,44)(45,47);(40,41)(42,45)(43,44)(46,47);(32,34,36,33)(35,38,39,37)(40,42)(41,45)(43,46)(44,47);(32,35,36,39)(33,37,34,38)

Conjugacy classes & character table

1178 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2274);