Finite Group Databasebeta

?

← Prev (#495132) Next (#495134) →

C₂×#13211 #495133

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

Aliases

Subgroups

1346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

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, 402329);