Finite Group Databasebeta

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C₃₁×#2447 #16842380

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

540 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)(37,40)(38,42)(45,49)(47,50);(33,35)(36,37,39,40)(38,41,42,43)(44,45)(46,50)(47,51)(48,49);(32,33)(34,35)(36,37)(38,41)(39,40)(42,43)(44,46,48,51)(45,50,49,47);(36,38,39,42)(37,41,40,43)(44,47,48,50)(45,51,49,46)

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, 1179);