Finite Group Databasebeta

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C₃₁×#3282 #16843215

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

504 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)(36,37,40,42)(38,44,47,51)(39,48,49,43)(41,45,50,46);(36,38,40,47)(37,41,42,50)(39,45,49,46)(43,51,48,44);(33,35);(37,42)(38,45)(39,49)(41,44)(46,47)(50,51)

Conjugacy classes & character table

1085 conjugacy classes. The character table is too large to display.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3968, 2014);