Finite Group Databasebeta

?

← Prev (#514185) Next (#514187) →

C₂×#13959 #514186

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

Aliases

Subgroups

7938 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 26 points:

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

Conjugacy classes & character table

152 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 421382);