Finite Group Databasebeta

?

← Prev (#16842462) Next (#16842464) →

C₃₁×#2530 #16842463

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

412 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 55 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)(32,33,35,37)(34,36,38,39)(40,41,43,45)(42,46,47,44)(50,54)(53,55);(32,33,35,37)(34,36,38,39)(40,42,43,47)(41,44,45,46)(48,49,52,51)(50,53,54,55);(32,33)(34,36)(35,37)(38,39)(40,42)(41,44)(43,47)(45,46)(48,50)(49,53)(51,55)(52,54);(32,34,35,38)(33,36,37,39)(40,41)(42,44)(43,45)(46,47)(48,51,52,49)(50,55,54,53)

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, 1262);