Finite Group Databasebeta

← Group #483070

Character table — Group #483070

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222224444444488888888888888881616161611112222222222222244444444888888888888888816161616
order122222444444448888448888888888888816161616161616162444222222444444448888448888888888888816161616161616162444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1
χ6111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111
χ7111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ8111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ91111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1-11-11111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1-11-1
χ101111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-111111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11
χ111111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-111111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11
χ121111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii1-11-11111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii1-11-1
χ131111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-111111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11
χ141111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-111-11111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1
χ151111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-111-111-11111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1
χ161111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-111111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11
χ1722222222222222-2-2-2-222-2-2-2-2-2-20000000000000000000022222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000
χ1822222222-2-2-2-2220000-2-2000000000000002−22−22−22−2000022222222-2-2-2-2220000-2-2000000000000002−22−22−22−20000
χ1922222222-2-2-2-2220000-2-200000000000000−22−22−22−22000022222222-2-2-2-2220000-2-200000000000000−22−22−22−220000
χ20222222-2-222-2-2-2-20000-2200000000000000i2−i2i2−i2−i2i2−i2i20000222222-2-222-2-2-2-20000-2200000000000000i2−i2i2−i2−i2i2−i2i20000
χ21222222-2-222-2-2-2-20000-2200000000000000−i2i2−i2i2i2−i2i2−i20000222222-2-222-2-2-2-20000-2200000000000000−i2i2−i2i2i2−i2i2−i20000
χ22222222-2-2-2-222-2-222222-2-2-2-2-22200000000000000000000222222-2-2-2-222-2-222222-2-2-2-2-22200000000000000000000
χ232222-2-2222222-2-22222-2-2-2-222-2-2000000000000000000002222-2-2222222-2-22222-2-2-2-222-2-200000000000000000000
χ242222-2-222-2-2-2-2-2-200002200000000000000i2−i2−i2i2i2−i2−i2i200002222-2-222-2-2-2-2-2-200002200000000000000i2−i2−i2i2i2−i2−i2i20000
χ252222-2-222-2-2-2-2-2-200002200000000000000−i2i2i2−i2−i2i2i2−i200002222-2-222-2-2-2-2-2-200002200000000000000−i2i2i2−i2−i2i2i2−i20000
χ262222-2-2-2-222-2-22200002-2000000000000002−2−22−222−200002222-2-2-2-222-2-22200002-2000000000000002−2−22−222−20000
χ272222-2-2-2-222-2-22200002-200000000000000−222−22−2−2200002222-2-2-2-222-2-22200002-200000000000000−222−22−2−220000
χ282222-2-2-2-2-2-22222-2-2-2-2-22-2-22222000000000000000000002222-2-2-2-2-2-22222-2-2-2-2-22-2-2222200000000000000000000
χ2922-2-2002i−2i2i−2i2-20022-2-200002i−2i00i2−i22−22−2i2−i200000000000022-2-2002i−2i2i−2i2-20022-2-200002i−2i00i2−i22−22−2i2−i2000000000000
χ3022-2-2002i−2i2i−2i2-20022-2-200002i−2i00−i2i2−22−22−i2i200000000000022-2-2002i−2i2i−2i2-20022-2-200002i−2i00−i2i2−22−22−i2i2000000000000
χ3122-2-2002i−2i2i−2i2-200-2-2220000−2i2i002−2i2−i2−i2i2−2200000000000022-2-2002i−2i2i−2i2-200-2-2220000−2i2i002−2i2−i2−i2i2−22000000000000
χ3222-2-2002i−2i2i−2i2-200-2-2220000−2i2i00−22−i2i2i2−i22−200000000000022-2-2002i−2i2i−2i2-200-2-2220000−2i2i00−22−i2i2i2−i22−2000000000000
χ3322-2-200−2i2i−2i2i2-20022-2-20000−2i2i00i2−i2−22−22i2−i200000000000022-2-200−2i2i−2i2i2-20022-2-20000−2i2i00i2−i2−22−22i2−i2000000000000
χ3422-2-200−2i2i−2i2i2-20022-2-20000−2i2i00−i2i22−22−2−i2i200000000000022-2-200−2i2i−2i2i2-20022-2-20000−2i2i00−i2i22−22−2−i2i2000000000000
χ3522-2-200−2i2i−2i2i2-200-2-22200002i−2i002−2−i2i2i2−i2−2200000000000022-2-200−2i2i−2i2i2-200-2-22200002i−2i002−2−i2i2i2−i2−22000000000000
χ3622-2-200−2i2i−2i2i2-200-2-22200002i−2i00−22i2−i2−i2i22−200000000000022-2-200−2i2i−2i2i2-200-2-22200002i−2i00−22i2−i2−i2i22−2000000000000
χ3744-4-4004i−4i−4i4i-44000000000000000000000000000000000044-4-4004i−4i−4i4i-440000000000000000000000000000000000
χ3844-4-400−4i4i4i−4i-44000000000000000000000000000000000044-4-400−4i4i4i−4i-440000000000000000000000000000000000
χ394-44-4000000004i−4i2i2−2i22i2−2i20022−220000000000000000000000004-44-4000000004i−4i2i2−2i22i2−2i20022−22000000000000000000000000
χ404-44-4000000004i−4i−2i22i2−2i22i200−22220000000000000000000000004-44-4000000004i−4i−2i22i2−2i22i200−2222000000000000000000000000
χ414-44-400000000−4i4i2i2−2i22i2−2i200−22220000000000000000000000004-44-400000000−4i4i2i2−2i22i2−2i200−2222000000000000000000000000
χ424-44-400000000−4i4i−2i22i2−2i22i20022−220000000000000000000000004-44-400000000−4i4i−2i22i2−2i22i20022−22000000000000000000000000
χ434-4-444-4000000002i2−2i2−2i22i20000002i2−2i2000000000000000000004-4-444-4000000002i2−2i2−2i22i20000002i2−2i200000000000000000000
χ444-4-444-400000000−2i22i22i2−2i2000000−2i22i2000000000000000000004-4-444-400000000−2i22i22i2−2i2000000−2i22i200000000000000000000
χ454-4-44-44000000002i2−2i2−2i22i2000000−2i22i2000000000000000000004-4-44-44000000002i2−2i2−2i22i2000000−2i22i200000000000000000000
χ464-4-44-4400000000−2i22i22i2−2i20000002i2−2i2000000000000000000004-4-44-4400000000−2i22i22i2−2i20000002i2−2i200000000000000000000
χ471111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ481111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ4911111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5011111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ51111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-111−i−i−i−iiiii−i−i−i−iiiii-1-111
χ52111111-1-1-1-111-1-1-1-1-1-11-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111-1-1-1-1-1-11111-1-1111111-11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ53111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-1-1-1-1-11111-1-1111111-11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1
χ54111111-1-1-1-111-1-1-1-1-1-11-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-1-1-11111-1-1111111-11-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i-1-111
χ551111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−iii−i−iii−i−i1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1−i−iii−i−iii−i−iii−i−iii-11-11
χ561111-1-1111111-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-11-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i1-11-1
χ571111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-11-11-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii1-11-1
χ581111-1-1111111-1-1-1-1-1-1-1-111-1-111−i−iii−i−iii−i−iii−i−iii1-11-1-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-11-11
χ591111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-11111-1-1-1-1111-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-1-1-11111-1-1-111-1
χ601111-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-111-1-11111-1-1-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1-111-1-1-1-1111-1-11
χ611111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-111-1-1-1-111-111-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-111-1-11111-1-11-1-11
χ621111-1-1-1-1-1-111111111-1111-1-1-1-1-1-11111-1-1-1-11111-1-11-1-11-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1-1-1-111-111-1
χ6322222222222222-2-2-2-222-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-222222200000000000000000000
χ6422222222-2-2-2-2220000-2-2000000000000002−22−22−22−20000-2-2-2-2-2-2-2-22222-2-200002200000000000000−22−22−22−220000
χ6522222222-2-2-2-2220000-2-200000000000000−22−22−22−220000-2-2-2-2-2-2-2-22222-2-2000022000000000000002−22−22−22−20000
χ66222222-2-222-2-2-2-20000-2200000000000000i2−i2i2−i2−i2i2−i2i20000-2-2-2-2-2-222-2-2222200002-200000000000000−i2i2−i2i2i2−i2i2−i20000
χ67222222-2-222-2-2-2-20000-2200000000000000−i2i2−i2i2i2−i2i2−i20000-2-2-2-2-2-222-2-2222200002-200000000000000i2−i2i2−i2−i2i2−i2i20000
χ68222222-2-2-2-222-2-222222-2-2-2-2-22200000000000000000000-2-2-2-2-2-22222-2-222-2-2-2-2-222222-2-200000000000000000000
χ692222-2-2222222-2-22222-2-2-2-222-2-200000000000000000000-2-2-2-222-2-2-2-2-2-222-2-2-2-22222-2-22200000000000000000000
χ702222-2-222-2-2-2-2-2-200002200000000000000i2−i2−i2i2i2−i2−i2i20000-2-2-2-222-2-22222220000-2-200000000000000−i2i2i2−i2−i2i2i2−i20000
χ712222-2-222-2-2-2-2-2-200002200000000000000−i2i2i2−i2−i2i2i2−i20000-2-2-2-222-2-22222220000-2-200000000000000i2−i2−i2i2i2−i2−i2i20000
χ722222-2-2-2-222-2-22200002-2000000000000002−2−22−222−20000-2-2-2-22222-2-222-2-20000-2200000000000000−222−22−2−220000
χ732222-2-2-2-222-2-22200002-200000000000000−222−22−2−220000-2-2-2-22222-2-222-2-20000-22000000000000002−2−22−222−20000
χ742222-2-2-2-2-2-22222-2-2-2-2-22-2-2222200000000000000000000-2-2-2-2222222-2-2-2-222222-222-2-2-2-200000000000000000000
χ7522-2-2002i−2i2i−2i2-20022-2-200002i−2i00i2−i22−22−2i2−i2000000000000-2-22200−2i2i−2i2i-2200-2-2220000−2i2i00−i2i2−22−22−i2i2000000000000
χ7622-2-2002i−2i2i−2i2-20022-2-200002i−2i00−i2i2−22−22−i2i2000000000000-2-22200−2i2i−2i2i-2200-2-2220000−2i2i00i2−i22−22−2i2−i2000000000000
χ7722-2-2002i−2i2i−2i2-200-2-2220000−2i2i002−2i2−i2−i2i2−22000000000000-2-22200−2i2i−2i2i-220022-2-200002i−2i00−22−i2i2i2−i22−2000000000000
χ7822-2-2002i−2i2i−2i2-200-2-2220000−2i2i00−22−i2i2i2−i22−2000000000000-2-22200−2i2i−2i2i-220022-2-200002i−2i002−2i2−i2−i2i2−22000000000000
χ7922-2-200−2i2i−2i2i2-20022-2-20000−2i2i00i2−i2−22−22i2−i2000000000000-2-222002i−2i2i−2i-2200-2-22200002i−2i00−i2i22−22−2−i2i2000000000000
χ8022-2-200−2i2i−2i2i2-20022-2-20000−2i2i00−i2i22−22−2−i2i2000000000000-2-222002i−2i2i−2i-2200-2-22200002i−2i00i2−i2−22−22i2−i2000000000000
χ8122-2-200−2i2i−2i2i2-200-2-22200002i−2i002−2−i2i2i2−i2−22000000000000-2-222002i−2i2i−2i-220022-2-20000−2i2i00−22i2−i2−i2i22−2000000000000
χ8222-2-200−2i2i−2i2i2-200-2-22200002i−2i00−22i2−i2−i2i22−2000000000000-2-222002i−2i2i−2i-220022-2-20000−2i2i002−2−i2i2i2−i2−22000000000000
χ8344-4-4004i−4i−4i4i-440000000000000000000000000000000000-4-44400−4i4i4i−4i4-40000000000000000000000000000000000
χ8444-4-400−4i4i4i−4i-440000000000000000000000000000000000-4-444004i−4i−4i4i4-40000000000000000000000000000000000
χ854-44-4000000004i−4i2i2−2i22i2−2i20022−22000000000000000000000000-44-4400000000−4i4i−2i22i2−2i22i200−2222000000000000000000000000
χ864-44-4000000004i−4i−2i22i2−2i22i200−2222000000000000000000000000-44-4400000000−4i4i2i2−2i22i2−2i20022−22000000000000000000000000
χ874-44-400000000−4i4i2i2−2i22i2−2i200−2222000000000000000000000000-44-44000000004i−4i−2i22i2−2i22i20022−22000000000000000000000000
χ884-44-400000000−4i4i−2i22i2−2i22i20022−22000000000000000000000000-44-44000000004i−4i2i2−2i22i2−2i200−2222000000000000000000000000
χ894-4-444-4000000002i2−2i2−2i22i20000002i2−2i200000000000000000000-444-4-4400000000−2i22i22i2−2i2000000−2i22i200000000000000000000
χ904-4-444-400000000−2i22i22i2−2i2000000−2i22i200000000000000000000-444-4-44000000002i2−2i2−2i22i20000002i2−2i200000000000000000000
χ914-4-44-44000000002i2−2i2−2i22i2000000−2i22i200000000000000000000-444-44-400000000−2i22i22i2−2i20000002i2−2i200000000000000000000
χ924-4-44-4400000000−2i22i22i2−2i20000002i2−2i200000000000000000000-444-44-4000000002i2−2i2−2i22i2000000−2i22i200000000000000000000

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