Finite Group Databasebeta

?

← Prev (#608028) Next (#608030) →

C₂×#14982 #608029

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

Aliases

Subgroups

5430 conjugacy classes of subgroups.

Full subgroup data →

Presentation

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

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

Conjugacy classes & character table

128 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 515225);