Finite Group Databasebeta

← Group #349571

Character table — Group #349571

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222244444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ411111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ511111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1111111-1-1-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ711111111111111111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ811111111111111111111-1-1-1-111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ911111111111111111-1-111111-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1011111111111111111-1-111111-1-111-1-111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ1111111111111111111-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1
χ1211111111111111111-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11
χ1311111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-1111111-1-1-1-111-1-1-1-111-11
χ1411111111111111111-1-11-1-1-1-1-1-111-1-1-1-111-111-1-11111-1-111-1-1-1-11111-1-11111-1-11-1
χ1511111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111-1-1-11
χ1611111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1111-1
χ1722222222222-2-2-22-2-222-200002-200002222-200-2-2000000-2-2000000000000000000
χ1822222222222-2-2-22-2-222-200002-20000-2-2-2-2-2002200000022000000000000000000
χ1922222222222-2-2-22-2-2-2-2-20000-22000022-2-2200-2-200000022000000000000000000
χ2022222222222-2-2-22-2-2-2-2-20000-220000-2-22220022000000-2-2000000000000000000
χ2122222222-2-2-2222-22-222-20000-2222220000-2-2-2000000-2-200000000000000000000
χ2222222222-2-2-2222-22-222-20000-22-2-2-2-20000-2220000002200000000000000000000
χ2322222222-2-2-2222-22-2-2-2-200002-222-2-200002-2-20000002200000000000000000000
χ2422222222-2-2-2222-22-2-2-2-200002-2-2-2220000222000000-2-200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222-2-2-2-2000000002000022-2-20000000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-20000000020000-2-2220000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-2-2222-2-22200000000-20000-2-2220000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22-2-22-2-2222200000000-2000022-2-20000000000000000000000
χ29222-2-22-2-222-222-2-2-2200-22-22-2002-2002-20002-22-200000000000000000000000000
χ30222-2-22-2-222-222-2-2-2200-22-22-200-2200-22000-22-2200000000000000000000000000
χ31222-2-22-2-222-222-2-2-2200-2-22-22002-200-220002-2-2200000000000000000000000000
χ32222-2-22-2-222-222-2-2-2200-2-22-2200-22002-2000-222-200000000000000000000000000
χ33222-2-22-2-222-2-2-22-22-2002000000002i−2i2-200000-222i−2i2i−2i2i−2i00000000000000000000
χ34222-2-22-2-222-2-2-22-22-2002000000002i−2i-22000002-2−2i2i−2i2i2i−2i00000000000000000000
χ35222-2-22-2-222-2-2-22-22-200200000000−2i2i2-200000-22−2i2i−2i2i−2i2i00000000000000000000
χ36222-2-22-2-222-2-2-22-22-200200000000−2i2i-22000002-22i−2i2i−2i−2i2i00000000000000000000
χ37222-2-22-2-2-2-2222-22-2-20020000002-200002i−2i0-22002i−2i−2i2i002i−2i000000000000000000
χ38222-2-22-2-2-2-2222-22-2-20020000002-20000−2i2i0-2200−2i2i2i−2i00−2i2i000000000000000000
χ39222-2-22-2-2-2-2222-22-2-2002000000-2200002i−2i02-200−2i2i2i−2i002i−2i000000000000000000
χ40222-2-22-2-2-2-2222-22-2-2002000000-220000−2i2i02-2002i−2i−2i2i00−2i2i000000000000000000
χ41222-2-22-2-2-2-22-2-2222200-22-2-2200002i−2i002i−2i000000000−2i2i−2i2i000000000000000000
χ42222-2-22-2-2-2-22-2-2222200-22-2-220000−2i2i00−2i2i0000000002i−2i2i−2i000000000000000000
χ43222-2-22-2-2-2-22-2-2222200-2-222-200002i−2i00−2i2i000000000−2i2i2i−2i000000000000000000
χ44222-2-22-2-2-2-22-2-2222200-2-222-20000−2i2i002i−2i0000000002i−2i−2i2i000000000000000000
χ4544-44-4-44-40004-440-400000000000000000000000000000002222−22−2200000000000000
χ4644-44-4-44-40004-440-40000000000000000000000000000000−22−22222200000000000000
χ4744-44-4-44-4000-44-404000000000000000000000000000000000002i22i2−2i2−2i20000000000
χ4844-44-4-44-4000-44-40400000000000000000000000000000000000−2i2−2i22i22i20000000000
χ4944-4-44-4-440004-4-40400000000000000000000000000000000000000022−2200000000
χ5044-4-44-4-440004-4-404000000000000000000000000000000000000000−222200000000
χ5144-4-44-4-44000-4440-4000000000000000000000000000000000000000002i2−2i2000000
χ5244-4-44-4-44000-4440-400000000000000000000000000000000000000000−2i22i2000000
χ534-444-4-4-444-44000-400000000000000000000000000000000000000000000002i2−2i200
χ544-444-4-4-444-44000-40000000000000000000000000000000000000000000000−2i22i200
χ554-444-4-4-44-44-400040000000000000000000000000000000000000000000022−220000
χ564-444-4-4-44-44-4000400000000000000000000000000000000000000000000−22220000
χ574-44-44-44-44-4-400040000000000000000000000000000000000002i2−2i22i2−2i20000000000
χ584-44-44-44-44-4-40004000000000000000000000000000000000000−2i22i2−2i22i20000000000
χ594-44-44-44-4-444000-40000000000000000000000000000000022−2222−2200000000000000
χ604-44-44-44-4-444000-400000000000000000000000000000000−2222−222200000000000000
χ614-4-4-4-44440000000004-400000000000000000000000000002-2-222-2-220000000000
χ624-4-4-4-44440000000004-40000000000000000000000000000-222-2-222-20000000000
χ634-4-4-4-4444000000000-4400000000000000000000000000002-2-22-222-20000000000
χ644-4-4-4-4444000000000-440000000000000000000000000000-222-22-2-220000000000
χ658-8-8888-8-8000000000000000000000000000000000000000000000000000000000

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