Finite Group Databasebeta

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C₃₁×#2475 #16842408

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

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, 1207);