Finite Group Databasebeta

?

← Prev (#6370742) Next (#6370744) →

C₂×#20616 #6370743

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

Aliases

Subgroups

18602 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 5 generators on 22 points:

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

Conjugacy classes & character table

116 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 6277939);