Finite Group Databasebeta

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C₃₁×#2611 #16842544

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

476 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)(44,45,47,49)(46,50,51,48);(36,37,39,41)(38,40,42,43)(44,46,47,51)(45,48,49,50);(32,33)(34,35)(36,37)(38,40)(39,41)(42,43);(36,38,39,42)(37,40,41,43)(44,45)(46,48)(47,49)(50,51)

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, 1343);