Finite Group Databasebeta

?

← Prev (#357874) Next (#357876) →

C₂×#11154 #357875

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

Aliases

Subgroups

2682 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 4 generators on 22 points:

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

Conjugacy classes & character table

92 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(512, 265071);