Finite Group Databasebeta

← Group #298621

Character table — Group #298621

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111-11-1
χ911111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ1111111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ1311111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ1611111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ1722222222222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-222000000000000000000000000000000002222-2-2-2-2000000000000
χ1822222222222222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000000000000000000000-2-2-2-22222000000000000
χ19222222222222-2-22222-2-2-2-2-2-2000000000000000022-2-2-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ20222222222222-2-22222-2-2-2-2-2-2000000000000000022-2-2-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ21222222222222-2-2-2-2-2-22222-2-20000000000000000-2-222-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ22222222222222-2-2-2-2-2-22222-2-20000000000000000-2-222-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2322222222-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-22222-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ2422222222-2-2-2-222-2-2-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222222222-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ2522222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-2222200000000000000002222-2-2-2-2-2-2-2-2222200000000000000000000
χ2622222222-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000-2-222220000000000000000-2-2-2-222222222-2-2-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000000022-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ29222-22-2-2-222-2-20022-2-20000002222−2−2−2−22222−2−2−2−22-2000022−2−222−2−222−2−222−2−2000022-2-2000022-2-222−2−222−2−2000000000000
χ30222-22-2-2-222-2-20022-2-20000002222−2−2−2−22222−2−2−2−22-20000−2−222−2−222−2−222−2−2220000-2-2220000-2-22222−2−222−2−2000000000000
χ31222-22-2-2-222-2-20022-2-2000000−2−2−2−22222−2−2−2−222222-2000022−2−222−2−222−2−222−2−20000-2-2220000-2-222−2−222−2−222000000000000
χ32222-22-2-2-222-2-20022-2-2000000−2−2−2−22222−2−2−2−222222-20000−2−222−2−222−2−222−2−222000022-2-2000022-2-2−2−222−2−222000000000000
χ33222-22-2-2-222-2-200-2-2220000002222−2−2−2−2−2−2−2−22222-22000022−2−2−2−22222−2−2−2−22222-2-2000022-2-2000022−2−2−2−222000000000000
χ34222-22-2-2-222-2-200-2-2220000002222−2−2−2−2−2−2−2−22222-220000−2−22222−2−2−2−22222−2−2-2-2220000-2-222000022−2−2−2−222000000000000
χ35222-22-2-2-222-2-200-2-222000000−2−2−2−222222222−2−2−2−2-22000022−2−2−2−22222−2−2−2−222-2-2220000-2-2220000−2−22222−2−2000000000000
χ36222-22-2-2-222-2-200-2-222000000−2−2−2−222222222−2−2−2−2-220000−2−22222−2−2−2−22222−2−222-2-2000022-2-20000−2−22222−2−2000000000000
χ37222-22-2-2-2-2-2220022-2-20000002222−2−2−2−22222−2−2−2−2-22000022−2−222−2−2−2−222−2−222000022-2-20000-2-222−2−222−2−222000000000000
χ38222-22-2-2-2-2-2220022-2-20000002222−2−2−2−22222−2−2−2−2-220000−2−222−2−22222−2−222−2−20000-2-222000022-2-2−2−222−2−222000000000000
χ39222-22-2-2-2-2-2220022-2-2000000−2−2−2−22222−2−2−2−22222-22000022−2−222−2−2−2−222−2−2220000-2-222000022-2-222−2−222−2−2000000000000
χ40222-22-2-2-2-2-2220022-2-2000000−2−2−2−22222−2−2−2−22222-220000−2−222−2−22222−2−222−2−2000022-2-20000-2-22222−2−222−2−2000000000000
χ41222-22-2-2-2-2-22200-2-2220000002222−2−2−2−2−2−2−2−222222-2000022−2−2−2−222−2−22222−2−222-2-20000-2-2220000−2−22222−2−2000000000000
χ42222-22-2-2-2-2-22200-2-2220000002222−2−2−2−2−2−2−2−222222-20000−2−22222−2−222−2−2−2−222-2-222000022-2-20000−2−22222−2−2000000000000
χ43222-22-2-2-2-2-22200-2-222000000−2−2−2−222222222−2−2−2−22-2000022−2−2−2−222−2−22222−2−2-2-222000022-2-2000022−2−2−2−222000000000000
χ44222-22-2-2-2-2-22200-2-222000000−2−2−2−222222222−2−2−2−22-20000−2−22222−2−222−2−2−2−22222-2-20000-2-222000022−2−2−2−222000000000000
χ4522-22-2-2-222i−2i2i−2i00000022-2-20022−2−222−2−222−2−222−2−2002i−2i0000002-22-200002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4622-22-2-2-222i−2i2i−2i00000022-2-20022−2−222−2−222−2−222−2−2002i−2i000000-22-220000−2i2i−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4722-22-2-2-222i−2i2i−2i00000022-2-200−2−222−2−222−2−222−2−222002i−2i0000002-22-200002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4822-22-2-2-222i−2i2i−2i00000022-2-200−2−222−2−222−2−222−2−222002i−2i000000-22-220000−2i2i−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4922-22-2-2-222i−2i2i−2i000000-2-2220022−2−222−2−2−2−222−2−22200−2i2i002-22-200002i−2i2i−2i00002−22−2−22−22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ5022-22-2-2-222i−2i2i−2i000000-2-2220022−2−222−2−2−2−222−2−22200−2i2i00-22-220000−2i2i−2i2i0000−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ5122-22-2-2-222i−2i2i−2i000000-2-22200−2−222−2−22222−2−222−2−200−2i2i002-22-200002i−2i2i−2i0000−22−222−22−2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ5222-22-2-2-222i−2i2i−2i000000-2-22200−2−222−2−22222−2−222−2−200−2i2i00-22-220000−2i2i−2i2i00002−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ5322-22-2-2-22−2i2i−2i2i00000022-2-20022−2−222−2−222−2−222−2−200−2i2i0000002-22-20000−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ5422-22-2-2-22−2i2i−2i2i00000022-2-20022−2−222−2−222−2−222−2−200−2i2i000000-22-2200002i−2i2i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ5522-22-2-2-22−2i2i−2i2i00000022-2-200−2−222−2−222−2−222−2−22200−2i2i0000002-22-20000−2i2i−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ5622-22-2-2-22−2i2i−2i2i00000022-2-200−2−222−2−222−2−222−2−22200−2i2i000000-22-2200002i−2i2i−2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ5722-22-2-2-22−2i2i−2i2i000000-2-2220022−2−222−2−2−2−222−2−222002i−2i002-22-20000−2i2i−2i2i00002−22−2−22−22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ5822-22-2-2-22−2i2i−2i2i000000-2-2220022−2−222−2−2−2−222−2−222002i−2i00-22-2200002i−2i2i−2i0000−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ5922-22-2-2-22−2i2i−2i2i000000-2-22200−2−222−2−22222−2−222−2−2002i−2i002-22-20000−2i2i−2i2i0000−22−222−22−2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ6022-22-2-2-22−2i2i−2i2i000000-2-22200−2−222−2−22222−2−222−2−2002i−2i00-22-2200002i−2i2i−2i00002−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ6122-2-2-222-22i−2i−2i2i2-2000000002-20000000022-2-2-2-22200002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i22−2−222−2−22i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i000000000000
χ6222-2-2-222-22i−2i−2i2i2-2000000002-20000000022-2-2-2-22200002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i2−222−2−222−2−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i000000000000
χ6322-2-2-222-22i−2i−2i2i2-2000000002-200000000-2-22222-2-200002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i2−222−2−222−2−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i000000000000
χ6422-2-2-222-22i−2i−2i2i2-2000000002-200000000-2-22222-2-200002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i22−2−222−2−22i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i000000000000
χ6522-2-2-222-22i−2i−2i2i-2200000000-2222-2-2-2-222000000000000−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i22−2−22−222−2i2−i2−i2i2−i2i2i2−i22i−2i−2i2i0000000000000000
χ6622-2-2-222-22i−2i−2i2i-2200000000-2222-2-2-2-222000000000000−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i2−222−22−2−22−i2i2i2−i2i2−i2−i2i22i−2i−2i2i0000000000000000
χ6722-2-2-222-22i−2i−2i2i-2200000000-22-2-22222-2-2000000000000−2i2i2−2−22−222−2i2−i2−i2i2−i2i2i2−i2−222−22−2−22−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i0000000000000000
χ6822-2-2-222-22i−2i−2i2i-2200000000-22-2-22222-2-2000000000000−2i2i−222−22−2−22−i2i2i2−i2i2−i2−i2i22−2−22−222−2i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i0000000000000000
χ6922-2-2-222-2−2i2i2i−2i2-2000000002-20000000022-2-2-2-2220000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i22−2−222−2−22−i2i2i2−i2−i2i2i2−i20000−2i2i2i−2i000000000000
χ7022-2-2-222-2−2i2i2i−2i2-2000000002-20000000022-2-2-2-2220000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i2−222−2−222−2i2−i2−i2i2i2−i2−i2i20000−2i2i2i−2i000000000000
χ7122-2-2-222-2−2i2i2i−2i2-2000000002-200000000-2-22222-2-20000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i2−222−2−222−2i2−i2−i2i2i2−i2−i2i200002i−2i−2i2i000000000000
χ7222-2-2-222-2−2i2i2i−2i2-2000000002-200000000-2-22222-2-20000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i22−2−222−2−22−i2i2i2−i2−i2i2i2−i200002i−2i−2i2i000000000000
χ7322-2-2-222-2−2i2i2i−2i-2200000000-2222-2-2-2-2220000000000002i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i22−2−22−222−2−i2i2i2−i2i2−i2−i2i2−2i2i2i−2i0000000000000000
χ7422-2-2-222-2−2i2i2i−2i-2200000000-2222-2-2-2-2220000000000002i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i2−222−22−2−22i2−i2−i2i2−i2i2i2−i2−2i2i2i−2i0000000000000000
χ7522-2-2-222-2−2i2i2i−2i-2200000000-22-2-22222-2-20000000000002i−2i2−2−22−222−2−i2i2i2−i2i2−i2−i2i2−222−22−2−22i2−i2−i2i2−i2i2i2−i22i−2i−2i2i0000000000000000
χ7622-2-2-222-2−2i2i2i−2i-2200000000-22-2-22222-2-20000000000002i−2i−222−22−2−22i2−i2−i2i2−i2i2i2−i22−2−22−222−2−i2i2i2−i2i2−i2−i2i22i−2i−2i2i0000000000000000
χ772-2-2-22-2220000-2-22-22-22-22-2222-22-22-22-22-22-22-22-2000000000000000000000000000000000000000000000000002-22-20000
χ782-2-2-22-2220000-2-22-22-22-22-2222-22-22-22-22-22-22-22-200000000000000000000000000000000000000000000000000-22-220000
χ792-2-2-22-2220000-2-22-22-22-22-222-22-22-22-22-22-22-22-22000000000000000000000000000000000000000000000000002-2-220000
χ802-2-2-22-2220000-2-22-22-22-22-222-22-22-22-22-22-22-22-2200000000000000000000000000000000000000000000000000-222-20000
χ812-2-2-22-2220000-2-2-22-22-22-22222-22-22-22-2-22-22-22-2200000000000000000000000000000000000000000000002-22-200000000
χ822-2-2-22-2220000-2-2-22-22-22-22222-22-22-22-2-22-22-22-220000000000000000000000000000000000000000000000-22-2200000000
χ832-2-2-22-2220000-2-2-22-22-22-2222-22-22-22-222-22-22-22-200000000000000000000000000000000000000000000002-2-2200000000
χ842-2-2-22-2220000-2-2-22-22-22-2222-22-22-22-222-22-22-22-20000000000000000000000000000000000000000000000-222-200000000
χ854-444-4-44-400004-400000000-444-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
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χ884-444-4-44-40000-44000000004-400000000-444-44-4-440000000000000000000000000000000000000000000000000000000000
χ894-44-4-44-4400000000004-4-440022−22−222222−22−222222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ904-44-4-44-4400000000004-4-4400−222222−22−222222−22−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ914-44-4-44-440000000000-444-40022−22−222222−22−2222−222222−22−222222−220000000000000000000000000000000000000000000000000000000000
χ924-44-4-44-440000000000-444-400−222222−22−222222−2222−22−222222−22−22220000000000000000000000000000000000000000000000000000000000
χ934-4-4444-4-40000004-4-4400000022−2222−22−2222−222222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ944-4-4444-4-40000004-4-44000000−2222−222222−2222−22−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ954-4-4444-4-4000000-444-400000022−2222−22−2222−2222−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ964-4-4444-4-4000000-444-4000000−2222−222222−2222−2222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ974-4-4-44-4440000444-44-4-44-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-44-444000044-44-444-44-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000

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