Finite Group Databasebeta

← Group #264133

Character table — Group #264133

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222222244444444448888888888888888888816161616161616161616161616163232
order12222222444444442222448888444444888888888888882224444488888844
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-11-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-11
χ81111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ91111111111111111-1-1-1-1111111-1-11111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ111111111111111111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ131111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11-1-1-1-1-11111-1-111-11
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-111-1-11-1
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-1-111-1-1-1-111111-1
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-11
χ1722222222222-2-2-2-220000-2-22222002222-2-2000000000000-2-200000000000000
χ1822222222222-2-2-2-220000-2-2222200-2-2-2-2-2-20000000000002200000000000000
χ1922222222222-2-2-2-220000-2-2-2-2-2-20022-2-222000000000000-2200000000000000
χ2022222222222-2-2-2-220000-2-2-2-2-2-200-2-222220000000000002-200000000000000
χ2122222222-2-2-22222-22222-2-20000-2-200000022-2-200000000002-2000000000000
χ2222222222-2-2-22222-22222-2-20000-2-2000000-2-2220000000000-22000000000000
χ2322222222-2-2-22222-2-2-2-2-2-2-200002200000022-2-20000000000-22000000000000
χ2422222222-2-2-22222-2-2-2-2-2-2-2000022000000-2-22200000000002-2000000000000
χ25222-2-2-22-22-2-20000200000022-2-2002i−2i2i−2i002−22−2000022−2−200000000i2−i2i2−i20000
χ26222-2-2-22-22-2-20000200000022-2-2002i−2i2i−2i00−22−220000−2−22200000000−i2i2−i2i20000
χ27222-2-2-22-22-2-20000200000022-2-200−2i2i−2i2i002−22−2000022−2−200000000−i2i2−i2i20000
χ28222-2-2-22-22-2-20000200000022-2-200−2i2i−2i2i00−22−220000−2−22200000000i2−i2i2−i20000
χ29222-2-2-22-22-2-200002000000-2-222002i−2i−2i2i002−22−20000−2−22200000000i2−i2−i2i20000
χ30222-2-2-22-22-2-200002000000-2-222002i−2i−2i2i00−22−22000022−2−200000000−i2i2i2−i20000
χ31222-2-2-22-22-2-200002000000-2-22200−2i2i2i−2i002−22−20000−2−22200000000−i2i2i2−i20000
χ32222-2-2-22-22-2-200002000000-2-22200−2i2i2i−2i00−22−22000022−2−200000000i2−i2−i2i20000
χ332-2-22-2-22222-222-2-2-222-2-22-200002-2000000000000002i−2i2i−2i0000000000002i−2i00
χ342-2-22-2-22222-222-2-2-222-2-22-200002-200000000000000−2i2i−2i2i000000000000−2i2i00
χ352-2-22-2-22222-222-2-2-2-2-2222-20000-22000000000000002i−2i2i−2i000000000000−2i2i00
χ362-2-22-2-22222-222-2-2-2-2-2222-20000-2200000000000000−2i2i−2i2i0000000000002i−2i00
χ372-2-22-2-222-2-2222-2-2222-2-2-222-22-2-2200002-2000022-2-200000000000000000000
χ382-2-22-2-222-2-2222-2-2222-2-2-22-22-22-220000-220000-2-22200000000000000000000
χ392-2-22-2-222-2-2222-2-22-2-222-222-22-22-200002-20000-2-22200000000000000000000
χ402-2-22-2-222-2-2222-2-22-2-222-22-22-222-20000-22000022-2-200000000000000000000
χ412-2-22-2-222-2-22-2-222200002-22-22-2000000-2200000000000000002-22-200000000
χ422-2-22-2-222-2-22-2-222200002-22-22-2000000-220000000000000000-22-2200000000
χ432-2-22-2-222-2-22-2-222200002-2-22-220000002-200000000000000002-2-2200000000
χ442-2-22-2-222-2-22-2-222200002-2-22-220000002-20000000000000000-222-200000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000
χ46444-4-4-44-4-4440000-400000000000000000022−22−2222000000000000000000000000
χ47444-4-4-44-4-4440000-4000000000000000000−222222−22000000000000000000000000
χ4844-4-44-4-440004-44-40000000000000000000000022−2222−2200000000000000000000
χ4944-4-44-4-440004-44-400000000000000000000000−2222−222200000000000000000000
χ5044-4-44-4-44000-44-4404-44-4000000000000000000000000000000000000000000
χ5144-4-44-4-44000-44-440-44-44000000000000000000000000000000000000000000
χ524-44-4-44-440004-4-440000000000000000000000022−22−222200000000000000000000
χ534-44-4-44-440004-4-4400000000000000000000000−222222−2200000000000000000000
χ544-44-4-44-44000-444-404-4-44000000000000000000000000000000000000000000
χ554-44-4-44-44000-444-40-444-4000000000000000000000000000000000000000000
χ564-4-44-4-44444-4-4-444-40000-440000000000000000000000000000000000000000
χ574-4-4-4444-44-440000-4000000000000000000000000002i2−2i2−2i22i20000000000000000
χ584-4-4-4444-44-440000-400000000000000000000000000−2i22i22i2−2i20000000000000000
χ594-4-4-4444-4-44-4000040000004-4-44000000000000000000000000000000000000
χ604-4-4-4444-4-44-400004000000-444-4000000000000000000000000000000000000
χ6188-88-88-8-8000000000000000000000000000000000000000000000000000000
χ628-8888-8-8-8000000000000000000000000000000000000000000000000000000

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