Finite Group Databasebeta

?

← Prev (#16842374) Next (#16842376) →

C₃₁×#2442 #16842375

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

520 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)(37,39)(41,42)(44,45,48,51)(46,50,47,49);(33,35)(36,37,40,39)(38,42,43,41)(44,46,48,47)(45,49,51,50);(32,33)(34,35)(36,38,40,43)(37,41,39,42)(44,45)(46,49)(47,50)(48,51);(36,39,40,37)(38,42,43,41)(44,47,48,46)(45,50,51,49)

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, 1174);