Finite Group Databasebeta

← Group #238167

Character table — Group #238167

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244444444888888888888888822444444444444448888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-111111-11-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1111-1-1-11-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-1-1-11111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1
χ91111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11111-111-1-1-1-1-111-1-111-1-1
χ101111111111111111-1-11-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111-1-1-1111-11-1-111-1-111
χ111111111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1111-1-1-11-1-1-111-1-111
χ121111111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111111-1-111-1-1
χ131111111111111111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-111-1-11-1-11-1-11111-1-1-1-111
χ141111111111111111-1-11-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111-1111-1-1-11111-1-1
χ151111111111111111-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-11-1-1-11-1-11111-1-1
χ161111111111111111-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111-1-111-111-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2222-222-2-2-2-2-20000000000000000002-2200000-2000000000
χ1822222222222-2-2-2-2222-222-2-2-2-2-2000000000000000000-22-2000002000000000
χ1922222222222-2-2-2-22-2-2-2-2-22222-20000000000000000002-2-2000002000000000
χ2022222222222-2-2-2-22-2-2-2-2-22222-2000000000000000000-22200000-2000000000
χ2122222222-2-2-22222-222-2-2-2-2-222-20000000000000000000002-22000-200000000
χ2222222222-2-2-22222-222-2-2-2-2-222-2000000000000000000000-22-2000200000000
χ2322222222-2-2-22222-2-2-2-22222-2-2-20000000000000000000002-2-2000200000000
χ2422222222-2-2-22222-2-2-2-22222-2-2-2000000000000000000000-222000-200000000
χ2522222222-2-2-2-2-2-2-2-2222-2-222-2-2200000000000000000000000000002-22-20000
χ2622222222-2-2-2-2-2-2-2-2222-2-222-2-220000000000000000000000000000-22-220000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-222200000000000000000000000000002-2-220000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-22220000000000000000000000000000-222-20000
χ29222-2-2-22-222-222-2-2-22-222-22-22-2-200000000000000002-20000002-20000000000
χ30222-2-2-22-222-222-2-2-22-222-22-22-2-20000000000000000-22000000-220000000000
χ31222-2-2-22-222-222-2-2-2-222-22-22-22-200000000000000002-2000000-220000000000
χ32222-2-2-22-222-222-2-2-2-222-22-22-22-20000000000000000-220000002-20000000000
χ33222-2-2-22-222-2-2-222-22-2-22-2-22-222000000000000000000000000000000002i−2i2i−2i
χ34222-2-2-22-222-2-2-222-22-2-22-2-22-22200000000000000000000000000000000−2i2i−2i2i
χ35222-2-2-22-222-2-2-222-2-22-2-222-22-22000000000000000000000000000000002i−2i−2i2i
χ36222-2-2-22-222-2-2-222-2-22-2-222-22-2200000000000000000000000000000000−2i2i2i−2i
χ37222-2-2-22-2-2-2222-2-222-2-2-22-222-222i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ38222-2-2-22-2-2-2222-2-222-2-2-22-222-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ39222-2-2-22-2-2-2222-2-22-22-22-22-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000
χ40222-2-2-22-2-2-2222-2-22-22-22-22-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000
χ41222-2-2-22-2-2-22-2-22222-22-222-2-22-2000000002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ42222-2-2-22-2-2-22-2-22222-22-222-2-22-200000000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ43222-2-2-22-2-2-22-2-2222-2222-2-222-2-2000000002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ44222-2-2-22-2-2-22-2-2222-2222-2-222-2-200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ4544-444-4-4-44-440000-4000000000022−2222−2200000000000000000000000000000000
χ4644-444-4-4-44-440000-40000000000−2222−222200000000000000000000000000000000
χ4744-444-4-4-4-44-400004000000000000002i2−2i22i2−2i20000000000000000000000000000
χ4844-444-4-4-4-44-40000400000000000000−2i22i2−2i22i20000000000000000000000000000
χ4944-4-4-44-444-4-4000040000000000000022−22−22220000000000000000000000000000
χ5044-4-4-44-444-4-40000400000000000000−222222−220000000000000000000000000000
χ5144-4-4-44-44-4440000-400000000002i2−2i2−2i22i200000000000000000000000000000000
χ5244-4-4-44-44-4440000-40000000000−2i22i22i2−2i200000000000000000000000000000000
χ534-4-44-444-40004-44-4000000000000000000000002i2−2i22i2−2i200000000000000000000
χ544-4-44-444-40004-44-400000000000000000000000−2i22i2−2i22i200000000000000000000
χ554-4-44-444-4000-44-4400000000000000000002i2−2i22i2−2i2000000000000000000000000
χ564-4-44-444-4000-44-440000000000000000000−2i22i2−2i22i2000000000000000000000000
χ574-4-4-44-4440004-4-44000000000000000000022−22−2222000000000000000000000000
χ584-4-4-44-4440004-4-440000000000000000000−222222−22000000000000000000000000
χ594-4-4-44-444000-444-40000000000000000000000022−22−222200000000000000000000
χ604-4-4-44-444000-444-400000000000000000000000−222222−2200000000000000000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).