Finite Group Databasebeta

?

← Prev (#494809) Next (#494811) →

C₂×#13118 #494810

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

Aliases

Subgroups

642 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

80 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 402006);