Finite Group Databasebeta

?

← Prev (#495222) Next (#495224) →

C₂×#13242 #495223

• p-group
• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

1102 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 38 points:

(1,2);(4,6)(7,8,12,17,13,19,29,18)(9,15,22,32,23,34,38,33)(10,24,26,31,27,30,21,14)(11,28,25,16,20,35,37,36);(3,4,5,6)(7,9,20,26,29,38,25,10,13,23,11,21,12,22,37,27)(8,14,16,15,17,24,35,32,19,31,36,34,18,30,28,33);(7,10,25,22,12,26,20,23,13,27,37,38,29,21,11,9)(8,15,28,14,18,33,36,30,19,34,35,31,17,32,16,24)

Conjugacy classes & character table

104 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402419);