Finite Group Databasebeta

← Group #124331

Character table — Group #124331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111111111111111222222222222222244444444444444444444888888888888888888888888888888881616161616161616
order1222222244444444888888888888888844444444444488888888161616161616161616161616161616161616161616161616161616161616161644448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ711111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ811111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111
χ1711111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-11-1i−ii−i
χ1811111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11-11−ii−ii
χ1911111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11-11−ii−ii
χ2011111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-11-1i−ii−i
χ2111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-11111-1-1-1-111−i−iii−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1-11i−i−ii
χ2211111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-11111-1-1-1-111−i−iii−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-111-1−iii−i
χ2311111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-11111-1-1-1-111−i−iii−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-111-1−iii−i
χ2411111111-1-1-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−i-1-11111-1-1-1-111−i−iii−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1-11i−i−ii
χ2511111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-11-1−ii−ii
χ2611111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11-11i−ii−i
χ2711111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11-11i−ii−i
χ2811111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-11-1−ii−ii
χ2911111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-11111-1-1-1-111ii−i−iii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1-11−iii−i
χ3011111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-11111-1-1-1-111ii−i−iii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-111-1i−i−ii
χ3111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-11111-1-1-1-111ii−i−iii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-111-1i−i−ii
χ3211111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii-1-11111-1-1-1-111ii−i−iii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1-11−iii−i
χ3322222222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ3422222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ352222222222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000
χ362222222222222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-2-222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-2-222-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ412222-2-2-2-22222-2-2-2-222220000-2-2-2-200002-22-2000000002-22-2000000000000000000002−22−22−22−22−22−22−22−200000000
χ422222-2-2-2-22222-2-2-2-222220000-2-2-2-200002-22-2000000002-22-200000000000000000000−22−22−22−22−22−22−22−2200000000
χ432222-2-2-2-22222-2-2-2-222220000-2-2-2-20000-22-2200000000-22-22000000000000000000002−22−22−22−2−22−22−22−2200000000
χ442222-2-2-2-22222-2-2-2-222220000-2-2-2-20000-22-2200000000-22-2200000000000000000000−22−22−22−222−22−22−22−200000000
χ452222-2-2-2-22222-2-2-2-2-2-2-2-20000222200002-22-200000000-22-2200000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ462222-2-2-2-22222-2-2-2-2-2-2-2-20000222200002-22-200000000-22-2200000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ472222-2-2-2-22222-2-2-2-2-2-2-2-2000022220000-22-22000000002-22-200000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ482222-2-2-2-22222-2-2-2-2-2-2-2-2000022220000-22-22000000002-22-200000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ492222-2-2-2-2-2-2-2-222222i2i−2i−2i0000−2i−2i2i2i00002-2-22000000002i−2i−2i2i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ502222-2-2-2-2-2-2-2-222222i2i−2i−2i0000−2i−2i2i2i00002-2-22000000002i−2i−2i2i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ512222-2-2-2-2-2-2-2-222222i2i−2i−2i0000−2i−2i2i2i0000-222-200000000−2i2i2i−2i000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i00000000
χ522222-2-2-2-2-2-2-2-222222i2i−2i−2i0000−2i−2i2i2i0000-222-200000000−2i2i2i−2i00000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i00000000
χ532222-2-2-2-2-2-2-2-22222−2i−2i2i2i00002i2i−2i−2i00002-2-2200000000−2i2i2i−2i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ542222-2-2-2-2-2-2-2-22222−2i−2i2i2i00002i2i−2i−2i00002-2-2200000000−2i2i2i−2i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ552222-2-2-2-2-2-2-2-22222−2i−2i2i2i00002i2i−2i−2i0000-222-2000000002i−2i−2i2i000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i00000000
χ562222-2-2-2-2-2-2-2-22222−2i−2i2i2i00002i2i−2i−2i0000-222-2000000002i−2i−2i2i00000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i00000000
χ5722-2-222-2-22i2i−2i−2i2i2i−2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ5822-2-222-2-22i2i−2i−2i2i2i−2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i00000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ5922-2-222-2-22i2i−2i−2i2i2i−2i−2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000-22−2i2i0000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000000000000000000000000000
χ6022-2-222-2-22i2i−2i−2i2i2i−2i−2i2ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ60000-22−2i2i000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000000000000000000000000000
χ6122-2-222-2-22i2i−2i−2i2i2i−2i−2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ60000-22−2i2i0000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000000000000000000000000000
χ6222-2-222-2-22i2i−2i−2i2i2i−2i−2i−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ6−2ζ22ζ2−2ζ62ζ62ζ2−2ζ22ζ6−2ζ60000-22−2i2i000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000000000000000000000000000
χ6322-2-222-2-22i2i−2i−2i2i2i−2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ6422-2-222-2-22i2i−2i−2i2i2i−2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i00000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
χ6522-2-222-2-2−2i−2i2i2i−2i−2i2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i000000000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000
χ6622-2-222-2-2−2i−2i2i2i−2i−2i2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i00000000000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000
χ6722-2-222-2-2−2i−2i2i2i−2i−2i2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ20000-222i−2i0000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000000000000000000000000000
χ6822-2-222-2-2−2i−2i2i2i−2i−2i2i2i2ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ20000-222i−2i000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000000000000000000000000000
χ6922-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ20000-222i−2i0000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000000000000000000000000000
χ7022-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ2−2ζ62ζ6−2ζ22ζ22ζ6−2ζ62ζ2−2ζ20000-222i−2i000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000000000000000000000000000
χ7122-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i000000000000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000
χ7222-2-222-2-2−2i−2i2i2i−2i−2i2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i00000000000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000
χ7344-4-4-4-4444i4i−4i−4i−4i−4i4i4i4ζ2−4ζ24ζ6−4ζ60000−4ζ24ζ2−4ζ64ζ60000000000000000000000000000000000000000000000000000000000000000
χ7444-4-4-4-4444i4i−4i−4i−4i−4i4i4i−4ζ24ζ2−4ζ64ζ600004ζ2−4ζ24ζ6−4ζ60000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-4-444−4i−4i4i4i4i4i−4i−4i4ζ6−4ζ64ζ2−4ζ20000−4ζ64ζ6−4ζ24ζ20000000000000000000000000000000000000000000000000000000000000000
χ7644-4-4-4-444−4i−4i4i4i4i4i−4i−4i−4ζ64ζ6−4ζ24ζ200004ζ6−4ζ64ζ2−4ζ20000000000000000000000000000000000000000000000000000000000000000
χ774-44-44-44-44-44-44-44-40000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ784-44-44-44-44-44-44-44-4000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ794-44-44-44-4-44-44-44-440000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ804-44-44-44-4-44-44-44-44000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ814-44-4-44-444-44-4-44-4400004i4i−4i−4i0000−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000
χ824-44-4-44-444-44-4-44-440000−4i−4i4i4i00004i4i−4i−4i000000000000000000000000000000000000000000000000000000000000
χ834-44-4-44-44-44-444-44-4000044440000-4-4-4-4000000000000000000000000000000000000000000000000000000000000
χ844-44-4-44-44-44-444-44-40000-4-4-4-400004444000000000000000000000000000000000000000000000000000000000000
χ854-4-444-4-444i−4i−4i4i4i−4i−4i4i000000000000000000000000000000004ζ6−4ζ64ζ2−4ζ20000000000000000000000000000000000000000
χ864-4-444-4-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000−4ζ64ζ6−4ζ24ζ20000000000000000000000000000000000000000
χ874-4-444-4-44−4i4i4i−4i−4i4i4i−4i000000000000000000000000000000004ζ2−4ζ24ζ6−4ζ60000000000000000000000000000000000000000
χ884-4-444-4-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000−4ζ24ζ2−4ζ64ζ60000000000000000000000000000000000000000
χ894-4-44-444-44i−4i−4i4i−4i4i4i−4i00004ζ6−4ζ64ζ2−4ζ20000−4ζ64ζ6−4ζ24ζ2000000000000000000000000000000000000000000000000000000000000
χ904-4-44-444-44i−4i−4i4i−4i4i4i−4i0000−4ζ64ζ6−4ζ24ζ200004ζ6−4ζ64ζ2−4ζ2000000000000000000000000000000000000000000000000000000000000
χ914-4-44-444-4−4i4i4i−4i4i−4i−4i4i00004ζ2−4ζ24ζ6−4ζ60000−4ζ24ζ2−4ζ64ζ6000000000000000000000000000000000000000000000000000000000000
χ924-4-44-444-4−4i4i4i−4i4i−4i−4i4i0000−4ζ24ζ2−4ζ64ζ600004ζ2−4ζ24ζ6−4ζ6000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.