Finite Group Databasebeta

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C₃₁×#3520 #16843453

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1124 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)(32,33,36,37)(34,38,39,35)(41,44)(45,47);(33,37)(35,38);(32,34)(33,35)(36,39)(37,38)(40,41)(42,45)(43,44)(46,47);(32,35)(33,34)(36,38)(37,39);(32,34)(33,35)(36,39)(37,38)(40,42,43,46)(41,45,44,47)

Conjugacy classes & character table

1364 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2252);