Finite Group Databasebeta

← Group #353063

Character table — Group #353063

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444443232323232323232
order12222222444444444444888888888888888844444444888888888888888888888888888888888888888844444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-11-1
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-11
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111-1-111-1-11
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-111-1
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-11-11
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-111-11-1
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11-1-11-111-1
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111-11-1-11
χ17222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-200000000000000002222-2-2-2-2000000002222-2-2-2-200000000
χ18222222222222-2-2-2-2-2-2-2-200000000000000002222-2-2-2-20000000000000000-2-2-2-2222200000000-2-2-2-2222200000000
χ19222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2222200000000000000002222-2-2-2-200000000-2-2-2-2222200000000
χ20222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222220000000000000000-2-2-2-22222000000002222-2-2-2-200000000
χ2122222222-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-222000000002222-2-2-2-2000000002222-2-2-2-20000000000000000
χ2222222222-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-22200000000-2-2-2-2222200000000-2-2-2-222220000000000000000
χ2322222222-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-2000000002222-2-2-2-200000000-2-2-2-222220000000000000000
χ2422222222-2-2-2-22222-2-2-2-20000000000000000-2-22222-2-200000000-2-2-2-22222000000002222-2-2-2-20000000000000000
χ2522222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-222220000000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-222-2-2222222-2-2-2-20000000000000000000000000000000000000000
χ292222-2-2-2-222-2-222-2-222-2-200000000000000000000000022-2-222-2-20000000022-2-222-2-222-2-222-2-20000000000000000
χ302222-2-2-2-222-2-222-2-222-2-200000000000000000000000022-2-222-2-200000000-2-222-2-222-2-222-2-2220000000000000000
χ312222-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2-222-2-2220000000022-2-222-2-2-2-222-2-2220000000000000000
χ322222-2-2-2-222-2-222-2-222-2-2000000000000000000000000-2-222-2-22200000000-2-222-2-22222-2-222-2-20000000000000000
χ332222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000022-2-222-2-222-2-2-2-222000000000000000000000000
χ342222-2-2-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-20000000000000000-2-222-2-222-2-22222-2-2000000000000000000000000
χ352222-2-2-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000022-2-222-2-2-2-22222-2-2000000000000000000000000
χ362222-2-2-2-222-2-2-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000-2-222-2-22222-2-2-2-222000000000000000000000000
χ372222-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-222220000000000000000000000000000000022-2-2-2-22222-2-222-2-200000000
χ382222-2-2-2-2-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000-2-22222-2-2-2-222-2-22200000000
χ392222-2-2-2-2-2-22222-2-2-2-222-2-2-2-222222222-2-2-2-20000000000000000000000000000000022-2-2-2-222-2-222-2-22200000000
χ402222-2-2-2-2-2-22222-2-2-2-222-2-2-2-222222222-2-2-2-200000000000000000000000000000000-2-22222-2-222-2-222-2-200000000
χ412222-2-2-2-2-2-222-2-22222-2-200000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000-2-22222-2-200000000
χ422222-2-2-2-2-2-222-2-22222-2-200000000000000000000000022-2-2-2-222-2-22222-2-2000000000000000022-2-2-2-22200000000
χ432222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-22222-2-222-2-2-2-222000000000000000022-2-2-2-22200000000
χ442222-2-2-2-2-2-222-2-22222-2-2000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000-2-22222-2-200000000
χ4522-2-22-2-2200002-22-2000022−2−222−2−222−2−222−2−2002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i200002-22-22−22−22−22−22i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i200000000
χ4622-2-22-2-2200002-22-2000022−2−222−2−222−2−222−2−2002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i20000-22-22−22−22−22−22−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i200000000
χ4722-2-22-2-2200002-22-2000022−2−222−2−222−2−222−2−200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i200002-22-22−22−22−22−2−2i2i−2i2i0000−i2i2−i2i2−i2i2−i2i200000000
χ4822-2-22-2-2200002-22-2000022−2−222−2−222−2−222−2−200−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i20000-22-22−22−22−22−222i−2i2i−2i0000i2−i2i2−i2i2−i2i2−i200000000
χ4922-2-22-2-2200002-22-20000−2−222−2−222−2−222−2−222002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i200002-22-2−22−22−22−222i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i200000000
χ5022-2-22-2-2200002-22-20000−2−222−2−222−2−222−2−222002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i20000-22-222−22−22−22−2−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i200000000
χ5122-2-22-2-2200002-22-20000−2−222−2−222−2−222−2−22200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i200002-22-2−22−22−22−22−2i2i−2i2i0000i2−i2i2−i2i2−i2i2−i200000000
χ5222-2-22-2-2200002-22-20000−2−222−2−222−2−222−2−22200−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i20000-22-222−22−22−22−22i−2i2i−2i0000−i2i2−i2i2−i2i2−i2i200000000
χ5322-2-22-2-220000-22-22000022−2−222−2−2−2−222−2−222002i−2i−2i2i00−i2i2−i2i2i2−i2i2−i22-22-200002−22−2−22−2200002i−2i2i−2ii2−i2i2−i2−i2i2−i2i200000000
χ5422-2-22-2-220000-22-22000022−2−222−2−2−2−222−2−222002i−2i−2i2i00−i2i2−i2i2i2−i2i2−i2-22-220000−22−222−22−20000−2i2i−2i2i−i2i2−i2i2i2−i2i2−i200000000
χ5522-2-22-2-220000-22-22000022−2−222−2−2−2−222−2−22200−2i2i2i−2i00i2−i2i2−i2−i2i2−i2i22-22-200002−22−2−22−220000−2i2i−2i2i−i2i2−i2i2i2−i2i2−i200000000
χ5622-2-22-2-220000-22-22000022−2−222−2−2−2−222−2−22200−2i2i2i−2i00i2−i2i2−i2−i2i2−i2i2-22-220000−22−222−22−200002i−2i2i−2ii2−i2i2−i2−i2i2−i2i200000000
χ5722-2-22-2-220000-22-220000−2−222−2−22222−2−222−2−2002i−2i−2i2i00i2−i2i2−i2−i2i2−i2i22-22-20000−22−222−22−200002i−2i2i−2i−i2i2−i2i2i2−i2i2−i200000000
χ5822-2-22-2-220000-22-220000−2−222−2−22222−2−222−2−2002i−2i−2i2i00i2−i2i2−i2−i2i2−i2i2-22-2200002−22−2−22−220000−2i2i−2i2ii2−i2i2−i2−i2i2−i2i200000000
χ5922-2-22-2-220000-22-220000−2−222−2−22222−2−222−2−200−2i2i2i−2i00−i2i2−i2i2i2−i2i2−i22-22-20000−22−222−22−20000−2i2i−2i2ii2−i2i2−i2−i2i2−i2i200000000
χ6022-2-22-2-220000-22-220000−2−222−2−22222−2−222−2−200−2i2i2i−2i00−i2i2−i2i2i2−i2i2−i2-22-2200002−22−2−22−2200002i−2i2i−2i−i2i2−i2i2i2−i2i2−i200000000
χ6122-2-2-222-200002-2-22000022−2−2−2−222−2−22222−2−22i−2i00002i−2ii2−i2−i2i2i2−i2−i2i22-2-2200002−2−222−2−222i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i200000000
χ6222-2-2-222-200002-2-22000022−2−2−2−222−2−22222−2−22i−2i00002i−2ii2−i2−i2i2i2−i2−i2i2-222-20000−222−2−222−2−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i200000000
χ6322-2-2-222-200002-2-22000022−2−2−2−222−2−22222−2−2−2i2i0000−2i2i−i2i2i2−i2−i2i2i2−i22-2-2200002−2−222−2−22−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i200000000
χ6422-2-2-222-200002-2-22000022−2−2−2−222−2−22222−2−2−2i2i0000−2i2i−i2i2i2−i2−i2i2i2−i2-222-20000−222−2−222−22i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i200000000
χ6522-2-2-222-200002-2-220000−2−22222−2−222−2−2−2−2222i−2i00002i−2i−i2i2i2−i2−i2i2i2−i22-2-220000−222−2−222−22i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i200000000
χ6622-2-2-222-200002-2-220000−2−22222−2−222−2−2−2−2222i−2i00002i−2i−i2i2i2−i2−i2i2i2−i2-222-200002−2−222−2−22−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i200000000
χ6722-2-2-222-200002-2-220000−2−22222−2−222−2−2−2−222−2i2i0000−2i2ii2−i2−i2i2i2−i2−i2i22-2-220000−222−2−222−2−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i200000000
χ6822-2-2-222-200002-2-220000−2−22222−2−222−2−2−2−222−2i2i0000−2i2ii2−i2−i2i2i2−i2−i2i2-222-200002−2−222−2−222i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i200000000
χ6922-2-2-222-20000-222-2000022−2−2−2−22222−2−2−2−2222i−2i0000−2i2ii2−i2−i2i2−i2i2i2−i200002-2-222−2−22−222−20000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i200000000
χ7022-2-2-222-20000-222-2000022−2−2−2−22222−2−2−2−2222i−2i0000−2i2ii2−i2−i2i2−i2i2i2−i20000-222-2−222−22−2−2200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i200000000
χ7122-2-2-222-20000-222-2000022−2−2−2−22222−2−2−2−222−2i2i00002i−2i−i2i2i2−i2i2−i2−i2i200002-2-222−2−22−222−200002i−2i−2i2i−i2i2i2−i2i2−i2−i2i200000000
χ7222-2-2-222-20000-222-2000022−2−2−2−22222−2−2−2−222−2i2i00002i−2i−i2i2i2−i2i2−i2−i2i20000-222-2−222−22−2−220000−2i2i2i−2ii2−i2−i2i2−i2i2i2−i200000000
χ7322-2-2-222-20000-222-20000−2−22222−2−2−2−22222−2−22i−2i0000−2i2i−i2i2i2−i2i2−i2−i2i200002-2-22−222−22−2−220000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i200000000
χ7422-2-2-222-20000-222-20000−2−22222−2−2−2−22222−2−22i−2i0000−2i2i−i2i2i2−i2i2−i2−i2i20000-222-22−2−22−222−200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i200000000
χ7522-2-2-222-20000-222-20000−2−22222−2−2−2−22222−2−2−2i2i00002i−2ii2−i2−i2i2−i2i2i2−i200002-2-22−222−22−2−2200002i−2i−2i2ii2−i2−i2i2−i2i2i2−i200000000
χ7622-2-2-222-20000-222-20000−2−22222−2−2−2−22222−2−2−2i2i00002i−2ii2−i2−i2i2−i2i2i2−i20000-222-22−2−22−222−20000−2i2i2i−2i−i2i2i2−i2i2−i2−i2i200000000
χ774-44-444-4-4000000004-44-4000000004-44-44-44-400000000000000000000000000000000000000000000000000000000
χ784-44-444-4-4000000004-44-400000000-44-44-44-4400000000000000000000000000000000000000000000000000000000
χ794-44-444-4-400000000-44-444-44-44-44-40000000000000000000000000000000000000000000000000000000000000000
χ804-44-444-4-400000000-44-44-44-44-44-440000000000000000000000000000000000000000000000000000000000000000
χ814-44-4-4-444000000004-4-444-44-4-44-440000000000000000000000000000000000000000000000000000000000000000
χ824-44-4-4-444000000004-4-44-44-444-44-40000000000000000000000000000000000000000000000000000000000000000
χ834-44-4-4-44400000000-444-4000000004-44-4-44-4400000000000000000000000000000000000000000000000000000000
χ844-44-4-4-44400000000-444-400000000-44-444-44-400000000000000000000000000000000000000000000000000000000
χ854-4-444-44-44-44-40000000022−22−222222−22−222222−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ864-4-444-44-44-44-400000000−222222−22−222222−22−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ874-4-444-44-4-44-440000000022−22−222222−22−2222−222222−22−222222−2200000000000000000000000000000000000000000000000000000000
χ884-4-444-44-4-44-4400000000−222222−22−222222−2222−22−222222−22−222200000000000000000000000000000000000000000000000000000000
χ894-4-44-44-444-4-440000000022−22−2222−222222−2222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000
χ904-4-44-44-444-4-4400000000−222222−2222−22−2222−222222−2222−22−222200000000000000000000000000000000000000000000000000000000
χ914-4-44-44-44-444-40000000022−22−2222−222222−22−222222−2222−22−222200000000000000000000000000000000000000000000000000000000
χ924-4-44-44-44-444-400000000−222222−2222−22−222222−22−2222−222222−2200000000000000000000000000000000000000000000000000000000

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