Finite Group Databasebeta

← Group #212321

Character table — Group #212321

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11111111111111112222222222222222222222224444444444444444888888888888888888888888888888888888888888888888
order12222222444444444444444444444444888888884444888888888888444444444444444488888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ121111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ131111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1711111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i
χ1811111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-111−i−iii−i−iii
χ1911111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iii
χ2011111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−iii−i−i-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii11-1-111-1-1ii−i−iii−i−i
χ2111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii
χ2211111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-111ii−i−iii−i−i
χ2311111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i
χ2411111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii−i−iii-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1−i−iii−i−iii
χ2511111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii11-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii
χ2611111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii11-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i
χ2711111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii-1-11111-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i
χ2811111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii-1-11111-1-1-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii
χ2911111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i11-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i
χ3011111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i11-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii
χ3111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i-1-11111-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii
χ3211111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i-1-11111-1-1-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i
χ33222222222222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i-2-222−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i-2-2222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2222i2i2i2i−2i−2i−2i−2i22-2-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222−2i−2i−2i−2i2i2i2i2i22-2-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ4122-2-222-2-22222-2-2-2-2000000002222-2-2-2-222-2-222-2-200002-22-2000000002-22-20000000000002-22-20000000000000000000000000000
χ4222-2-222-2-22222-2-2-2-2000000002222-2-2-2-222-2-222-2-200002-22-200000000-22-22000000000000-22-220000000000000000000000000000
χ4322-2-222-2-22222-2-2-2-2000000002222-2-2-2-2-2-222-2-2220000-22-22000000002-22-2000000000000-22-220000000000000000000000000000
χ4422-2-222-2-22222-2-2-2-2000000002222-2-2-2-2-2-222-2-2220000-22-2200000000-22-220000000000002-22-20000000000000000000000000000
χ4522-2-222-2-22222-2-2-2-200000000-2-2-2-2222222-2-222-2-20000-22-220000000000002i−2i2i−2i0000000000002i−2i2i−2i000000000000000000000000
χ4622-2-222-2-22222-2-2-2-200000000-2-2-2-2222222-2-222-2-20000-22-22000000000000−2i2i−2i2i000000000000−2i2i−2i2i000000000000000000000000
χ4722-2-222-2-22222-2-2-2-200000000-2-2-2-22222-2-222-2-22200002-22-20000000000002i−2i2i−2i000000000000−2i2i−2i2i000000000000000000000000
χ4822-2-222-2-22222-2-2-2-200000000-2-2-2-22222-2-222-2-22200002-22-2000000000000−2i2i−2i2i0000000000002i−2i2i−2i000000000000000000000000
χ4922-2-222-2-2-2-2-2-222220000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i000000002-2-220000000000002i−2i−2i2i0000000000000000000000000000
χ5022-2-222-2-2-2-2-2-222220000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i00000000-222-2000000000000−2i2i2i−2i0000000000000000000000000000
χ5122-2-222-2-2-2-2-2-222220000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i000000002-2-22000000000000−2i2i2i−2i0000000000000000000000000000
χ5222-2-222-2-2-2-2-2-222220000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i00000000-222-20000000000002i−2i−2i2i0000000000000000000000000000
χ5322-2-222-2-2-2-2-2-2222200000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i0000000000002i−2i−2i2i000000000000-222-2000000000000000000000000
χ5422-2-222-2-2-2-2-2-2222200000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i000000000000−2i2i2i−2i0000000000002-2-22000000000000000000000000
χ5522-2-222-2-2-2-2-2-2222200000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i0000000000002i−2i−2i2i0000000000002-2-22000000000000000000000000
χ5622-2-222-2-2-2-2-2-2222200000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i000000000000−2i2i2i−2i000000000000-222-2000000000000000000000000
χ572-22-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ3−2ζ30000000000000000000000000000000000002−2i2−i22−2i2−i21+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ582-22-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ3−2ζ3000000000000000000000000000000000000−22−i2i2−22−i2i2−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ592-22-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ32ζ30000000000000000000000000000000000002−2i2−i22−2i2−i2−1−i1+i−1+i1−i−1−i1+i−1+i1−i
χ602-22-22-22-22i−2i2i−2i2i−2i2i−2i22-2-22i2i−2i−2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ32ζ3000000000000000000000000000000000000−22−i2i2−22−i2i21+i−1−i1−i−1+i1+i−1−i1−i−1+i
χ612-22-22-22-22i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000−2ζ2ζ−2ζ32ζ30000000000000000000000000000000000002−2i2−i2−22−i2i21+i−1−i1−i−1+i−1−i1+i−1+i1−i
χ622-22-22-22-22i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i000000002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300000000−2ζ2ζ−2ζ32ζ3000000000000000000000000000000000000−22−i2i22−2i2−i2−1−i1+i−1+i1−i1+i−1−i1−i−1+i
χ632-22-22-22-22i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000002ζ−2ζ2ζ3−2ζ30000000000000000000000000000000000002−2i2−i2−22−i2i2−1−i1+i−1+i1−i1+i−1−i1−i−1+i
χ642-22-22-22-22i−2i2i−2i2i−2i2i−2i-2-222−2i−2i2i2i00000000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000002ζ−2ζ2ζ3−2ζ3000000000000000000000000000000000000−22−i2i22−2i2−i21+i−1−i1−i−1+i−1−i1+i−1+i1−i
χ652-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ−2ζ0000000000000000000000000000000000002−2−i2i22−2−i2i2−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ662-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ−2ζ000000000000000000000000000000000000−22i2−i2−22i2−i21−i−1+i1+i−1−i1−i−1+i1+i−1−i
χ672-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ2ζ0000000000000000000000000000000000002−2−i2i22−2−i2i21−i−1+i1+i−1−i1−i−1+i1+i−1−i
χ682-22-22-22-2−2i2i−2i2i−2i2i−2i2i22-2-2−2i−2i2i2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ2ζ000000000000000000000000000000000000−22i2−i2−22i2−i2−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ692-22-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000000−2ζ32ζ3−2ζ2ζ0000000000000000000000000000000000002−2−i2i2−22i2−i2−1+i1−i−1−i1+i1−i−1+i1+i−1−i
χ702-22-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i000000002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00000000−2ζ32ζ3−2ζ2ζ000000000000000000000000000000000000−22i2−i22−2−i2i21−i−1+i1+i−1−i−1+i1−i−1−i1+i
χ712-22-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000002ζ3−2ζ32ζ−2ζ0000000000000000000000000000000000002−2−i2i2−22i2−i21−i−1+i1+i−1−i−1+i1−i−1−i1+i
χ722-22-22-22-2−2i2i−2i2i−2i2i−2i2i-2-2222i2i−2i−2i00000000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000002ζ3−2ζ32ζ−2ζ000000000000000000000000000000000000−22i2−i22−2−i2i2−1+i1−i−1−i1+i1−i−1+i1+i−1−i
χ732-22-2-22-222i−2i−2i2i−2i2i2i−2i2-22-22i−2i2i−2i2-22i−2i2-22i−2i000000002-22i−2i0000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ32ζ−2ζ2ζ3−2ζ30000000000000000
χ742-22-2-22-222i−2i−2i2i−2i2i2i−2i2-22-22i−2i2i−2i2-22i−2i2-22i−2i000000002-22i−2i000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ3−2ζ2ζ−2ζ32ζ30000000000000000
χ752-22-2-22-222i−2i−2i2i−2i2i2i−2i2-22-22i−2i2i−2i-22−2i2i-22−2i2i00000000-22−2i2i000000000000000000002i−2i2-22i−2i2-200000000000000000000000000000000
χ762-22-2-22-222i−2i−2i2i−2i2i2i−2i2-22-22i−2i2i−2i-22−2i2i-22−2i2i00000000-22−2i2i00000000000000000000−2i2i-22−2i2i-2200000000000000000000000000000000
χ772-22-2-22-222i−2i−2i2i−2i2i2i−2i-22-22−2i2i−2i2i2-22i−2i2-22i−2i00000000-22−2i2i0000000000000000000000000000000000002ζ−2ζ2ζ3−2ζ3−2ζ2ζ−2ζ32ζ30000000000000000
χ782-22-2-22-222i−2i−2i2i−2i2i2i−2i-22-22−2i2i−2i2i2-22i−2i2-22i−2i00000000-22−2i2i000000000000000000000000000000000000−2ζ2ζ−2ζ32ζ32ζ−2ζ2ζ3−2ζ30000000000000000
χ792-22-2-22-222i−2i−2i2i−2i2i2i−2i-22-22−2i2i−2i2i-22−2i2i-22−2i2i000000002-22i−2i000000000000000000002i−2i2-2−2i2i-2200000000000000000000000000000000
χ802-22-2-22-222i−2i−2i2i−2i2i2i−2i-22-22−2i2i−2i2i-22−2i2i-22−2i2i000000002-22i−2i00000000000000000000−2i2i-222i−2i2-200000000000000000000000000000000
χ812-22-2-22-22−2i2i2i−2i2i−2i−2i2i2-22-2−2i2i−2i2i2-2−2i2i2-2−2i2i000000002-2−2i2i0000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ2ζ3−2ζ32ζ−2ζ0000000000000000
χ822-22-2-22-22−2i2i2i−2i2i−2i−2i2i2-22-2−2i2i−2i2i2-2−2i2i2-2−2i2i000000002-2−2i2i000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ−2ζ32ζ3−2ζ2ζ0000000000000000
χ832-22-2-22-22−2i2i2i−2i2i−2i−2i2i2-22-2−2i2i−2i2i-222i−2i-222i−2i00000000-222i−2i000000000000000000002i−2i-222i−2i-2200000000000000000000000000000000
χ842-22-2-22-22−2i2i2i−2i2i−2i−2i2i2-22-2−2i2i−2i2i-222i−2i-222i−2i00000000-222i−2i00000000000000000000−2i2i2-2−2i2i2-200000000000000000000000000000000
χ852-22-2-22-22−2i2i2i−2i2i−2i−2i2i-22-222i−2i2i−2i2-2−2i2i2-2−2i2i00000000-222i−2i0000000000000000000000000000000000002ζ3−2ζ32ζ−2ζ−2ζ32ζ3−2ζ2ζ0000000000000000
χ862-22-2-22-22−2i2i2i−2i2i−2i−2i2i-22-222i−2i2i−2i2-2−2i2i2-2−2i2i00000000-222i−2i000000000000000000000000000000000000−2ζ32ζ3−2ζ2ζ2ζ3−2ζ32ζ−2ζ0000000000000000
χ872-22-2-22-22−2i2i2i−2i2i−2i−2i2i-22-222i−2i2i−2i-222i−2i-222i−2i000000002-2−2i2i000000000000000000002i−2i-22−2i2i2-200000000000000000000000000000000
χ882-22-2-22-22−2i2i2i−2i2i−2i−2i2i-22-222i−2i2i−2i-222i−2i-222i−2i000000002-2−2i2i00000000000000000000−2i2i2-22i−2i-2200000000000000000000000000000000
χ894444-4-4-4-444-4-4-4-4444-4-444-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-444-4-4-4-444-444-4-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914444-4-4-4-4-4-44444-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ924444-4-4-4-4-4-44444-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-4-44444-4-444-4-40000000000000000000000000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ9444-4-4-4-44444-4-444-4-4000000000000000000000000000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ9544-4-4-4-444-4-444-4-4440000000000000000000000000000000000004-4-44000000000000000000000000000000000000000000000000
χ9644-4-4-4-444-4-444-4-444000000000000000000000000000000000000-444-4000000000000000000000000000000000000000000000000
χ974-4-444-4-444i−4i4i−4i−4i4i−4i4i00000000000000004ζ−4ζ−4ζ4ζ4ζ3−4ζ3−4ζ34ζ30000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444i−4i4i−4i−4i4i−4i4i0000000000000000−4ζ4ζ4ζ−4ζ−4ζ34ζ34ζ3−4ζ30000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44−4i4i−4i4i4i−4i4i−4i00000000000000004ζ3−4ζ3−4ζ34ζ34ζ−4ζ−4ζ4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i4i−4i4i4i−4i4i−4i0000000000000000−4ζ34ζ34ζ3−4ζ3−4ζ4ζ4ζ−4ζ0000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i−4i4i4i−4i−4i4i000000004-44i−4i-44−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-44i−4i−4i4i4i−4i−4i4i00000000-44−4i4i4-44i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i4i−4i−4i4i4i−4i000000004-4−4i4i-444i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i4i−4i−4i4i4i−4i00000000-444i−4i4-4−4i4i000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.