Finite Group Databasebeta

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C₃₁×#3284 #16843217

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

494 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)(36,37,42,39)(38,46,49,51)(40,45,41,44)(43,50,47,48);(36,38,42,49)(37,43,39,47)(40,48,41,50)(44,46,45,51);(33,35)(36,39,42,37)(38,47,49,43)(40,45,41,44)(46,48,51,50);(36,40)(37,44)(39,45)(41,42)(46,51)(48,50)

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, 2016);