Finite Group Databasebeta

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C₃₁×#2896 #16842829

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

772 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 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)(32,33,34,35)(36,37)(38,45)(39,44)(40,48)(41,43)(42,46)(47,51)(49,50);(36,38)(37,42)(39,46)(40,49)(41,47)(43,50)(44,51)(45,48);(37,43)(42,50)(44,48)(45,51);(36,39,41,40)(37,44,43,48)(38,46,47,49)(42,51,50,45)

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, 1628);