Finite Group Databasebeta

← Group #330010

Character table — Group #330010

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444442244444444444444448888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ511111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ91111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-1-111
χ111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111
χ141111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-22222-2-2-2-222-2-20000000022-2-2-2-22200000000000000000000
χ182222222222-2-2-2-22222-2-2-2-222-2-200000000-2-22222-2-200000000000000000000
χ192222222222-2-2-2-222-2-222-2-2-2-222000000002222-2-2-2-200000000000000000000
χ202222222222-2-2-2-222-2-222-2-2-2-22200000000-2-2-2-2222200000000000000000000
χ2122222222-2-22222-2-22222-2-2-2-2-2-222-2-222-2-20000000000000000000000000000
χ2222222222-2-22222-2-22222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2222222-2-2-2-2220000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-222-2-22200000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-222-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222222-2-200000000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ29222-2-2-2-220022-2-2000000002i−2i2i−2i002-22i−2i002−2i2−i22−2i2−i22−22−2i2−i2i2−i2000000000000
χ30222-2-2-2-220022-2-2000000002i−2i2i−2i002-22i−2i00−22−i2i2−22−i2i2−22−22−i2i2−i2i2000000000000
χ31222-2-2-2-220022-2-2000000002i−2i2i−2i00-22−2i2i002−2i2−i22−2i2−i2−22−22−i2i2−i2i2000000000000
χ32222-2-2-2-220022-2-2000000002i−2i2i−2i00-22−2i2i00−22−i2i2−22−i2i22−22−2i2−i2i2−i2000000000000
χ33222-2-2-2-220022-2-200000000−2i2i−2i2i002-2−2i2i002−2−i2i22−2−i2i22−22−2−i2i2−i2i2000000000000
χ34222-2-2-2-220022-2-200000000−2i2i−2i2i002-2−2i2i00−22i2−i2−22i2−i2−22−22i2−i2i2−i2000000000000
χ35222-2-2-2-220022-2-200000000−2i2i−2i2i00-222i−2i002−2−i2i22−2−i2i2−22−22i2−i2i2−i2000000000000
χ36222-2-2-2-220022-2-200000000−2i2i−2i2i00-222i−2i00−22i2−i2−22i2−i22−22−2−i2i2−i2i2000000000000
χ37222-2-2-2-2200-2-222000000002i−2i−2i2i2i−2i00002-22−2−i2i2−22i2−i2i2−i2−i2i22−2−22000000000000
χ38222-2-2-2-2200-2-222000000002i−2i−2i2i2i−2i00002-2−22i2−i22−2−i2i2−i2i2i2−i2−222−2000000000000
χ39222-2-2-2-2200-2-222000000002i−2i−2i2i−2i2i0000-222−2−i2i2−22i2−i2−i2i2i2−i2−222−2000000000000
χ40222-2-2-2-2200-2-222000000002i−2i−2i2i−2i2i0000-22−22i2−i22−2−i2i2i2−i2−i2i22−2−22000000000000
χ41222-2-2-2-2200-2-22200000000−2i2i2i−2i2i−2i0000-222−2i2−i2−22−i2i2i2−i2−i2i2−222−2000000000000
χ42222-2-2-2-2200-2-22200000000−2i2i2i−2i2i−2i0000-22−22−i2i22−2i2−i2−i2i2i2−i22−2−22000000000000
χ43222-2-2-2-2200-2-22200000000−2i2i2i−2i−2i2i00002-22−2i2−i2−22−i2i2−i2i2i2−i22−2−22000000000000
χ44222-2-2-2-2200-2-22200000000−2i2i2i−2i−2i2i00002-2−22−i2i22−2i2−i2i2−i2−i2i2−222−2000000000000
χ4544-444-4-4-4004-44-4004-44-4000000000000000000000000000000000000000000
χ4644-444-4-4-4004-44-400-44-44000000000000000000000000000000000000000000
χ4744-444-4-4-400-44-44004-4-44000000000000000000000000000000000000000000
χ4844-444-4-4-400-44-4400-444-4000000000000000000000000000000000000000000
χ4944-4-4-444-4444-4-44-4-400004-40000000000000000000000000000000000000000
χ5044-4-4-444-444-444-4-4-40000-440000000000000000000000000000000000000000
χ5144-4-4-444-4-4-44-4-44440000-440000000000000000000000000000000000000000
χ5244-4-4-444-4-4-4-444-44400004-40000000000000000000000000000000000000000
χ534-444-44-4-44-400004-40000000000000000000000000000000000000022−22000000
χ544-444-44-4-44-400004-400000000000000000000000000000000000000−2222000000
χ554-444-44-4-4-440000-4400000000000000000000000000000000000000002i2−2i20000
χ564-444-44-4-4-440000-440000000000000000000000000000000000000000−2i22i20000
χ574-4-4-444-444-40000-44000000000000000000000000000000000022−220000000000
χ584-4-4-444-444-40000-440000000000000000000000000000000000−22220000000000
χ594-4-4-444-44-4400004-40000000000000000000000000000000000002i2−2i200000000
χ604-4-4-444-44-4400004-4000000000000000000000000000000000000−2i22i200000000
χ618-88-88-88-8000000000000000000000000000000000000000000000000000000
χ628-8-88-8-888000000000000000000000000000000000000000000000000000000

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