Finite Group Databasebeta

?

← Prev (#493114) Next (#493116) →

C₂×#12662 #493115

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

Aliases

Subgroups

910 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 26 points:

(1,2);(3,4,5,6)(11,12,15,19,16,20,24,26,14,17,21,25,23,13,18,22);(4,6)(7,8,9,10)(12,17)(13,20)(19,25)(22,26);(11,13,21,26,16,12,18,25,14,20,15,22,23,17,24,19)

Conjugacy classes & character table

224 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 400311);