Finite Group Databasebeta

← Group #10798404

Character table — Group #10798404

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222233333333444444444444444444444444446666666688888888888888888888881212121212121212121212121212121212121616161624242424
order122244442234466688881212121244444444224444446688888888881212242424244444888844668812121212121224242424242424242424444444448888888888121224242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111111111-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ101111111111111111-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ111111111111111111-1-1-1-1111111111111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-111-1-1
χ121111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111
χ131111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1
χ141111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111
χ151111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111
χ161111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ171111-1-1-1-1-1-1111111ii−i−i-1-1-1-11111-1-1-1-111-1-1ii−i−i-1-1i−iii−i−i11-1-111ii−i−i11-1-1ii−i−i1-111i−i-1-1ii−i−ii−iii−i−i11-1-111-1-1ii−i−ii−iii−i−i11-1-11-1i−i1-1i−i
χ181111-1-1-1-1-1-1111111ii−i−i-1-1-1-11111-1-1-1-111-1-1−i−iii-1-1i−iii−i−i-1-11111ii−i−i11-1-1ii−i−i-1111−ii-1-1−i−iiii−iii−i−i-1-11111-1-1−i−iiii−iii−i−i-1-111-11−ii-11−ii
χ191111-1-1-1-1-1-1111111ii−i−i-1-1-1-11111-1-1-1-1-1-111ii−i−i-1-1i−i−i−iii11-1-111ii−i−i11-1-1ii−i−i-11-1-1−ii11ii−i−ii−i−i−iii11-1-1-1-111ii−i−ii−i−i−iii11-1-1-11−ii-11−ii
χ201111-1-1-1-1-1-1111111ii−i−i-1-1-1-11111-1-1-1-1-1-111−i−iii-1-1i−i−i−iii-1-11111ii−i−i11-1-1ii−i−i1-1-1-1i−i11−i−iiii−i−i−iii-1-111-1-111−i−iiii−i−i−iii-1-1111-1i−i1-1i−i
χ211111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1i−iii−i−i11-1-111ii−i−i-1-111−i−iii1-111i−i-1-1ii−i−ii−iii−i−i11-1-1-1-111−i−iii−ii−i−iii-1-1111-1i−i-11−ii
χ221111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1i−iii−i−i-1-11111ii−i−i-1-111−i−iii-1111−ii-1-1−i−iiii−iii−i−i-1-111-1-111ii−i−i−ii−i−iii11-1-1-11−ii1-1i−i
χ231111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-1-1-11111-1-111ii−i−i-1-1i−i−i−iii11-1-111ii−i−i-1-111−i−iii-11-1-1−ii11ii−i−ii−i−i−iii11-1-111-1-1−i−iii−iiii−i−i-1-111-11−ii1-1i−i
χ241111-1-1-1-1-1-1111111ii−i−i-1-1-1-1-1-1-1-11111-1-111−i−iii-1-1i−i−i−iii-1-11111ii−i−i-1-111−i−iii1-1-1-1i−i11−i−iiii−i−i−iii-1-11111-1-1ii−i−i−iiii−i−i11-1-11-1i−i-11−ii
χ251111-1-1-1-1-1-1111111−i−iii-1-1-1-11111-1-1-1-111-1-1ii−i−i-1-1−ii−i−iii-1-11111−i−iii11-1-1−i−iii-1111i−i-1-1ii−i−i−ii−i−iii-1-11111-1-1ii−i−i−ii−i−iii-1-111-11i−i-11i−i
χ261111-1-1-1-1-1-1111111−i−iii-1-1-1-11111-1-1-1-111-1-1−i−iii-1-1−ii−i−iii11-1-111−i−iii11-1-1−i−iii1-111−ii-1-1−i−iii−ii−i−iii11-1-111-1-1−i−iii−ii−i−iii11-1-11-1−ii1-1−ii
χ271111-1-1-1-1-1-1111111−i−iii-1-1-1-11111-1-1-1-1-1-111ii−i−i-1-1−iiii−i−i-1-11111−i−iii11-1-1−i−iii1-1-1-1−ii11ii−i−i−iiii−i−i-1-111-1-111ii−i−i−iiii−i−i-1-1111-1−ii1-1−ii
χ281111-1-1-1-1-1-1111111−i−iii-1-1-1-11111-1-1-1-1-1-111−i−iii-1-1−iiii−i−i11-1-111−i−iii11-1-1−i−iii-11-1-1i−i11−i−iii−iiii−i−i11-1-1-1-111−i−iii−iiii−i−i11-1-1-11i−i-11i−i
χ291111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-1-1-1111111-1-1ii−i−i-1-1−ii−i−iii-1-11111−i−iii-1-111ii−i−i-1111i−i-1-1ii−i−i−ii−i−iii-1-111-1-111−i−iiii−iii−i−i11-1-1-11i−i1-1−ii
χ301111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-1-1-1111111-1-1−i−iii-1-1−ii−i−iii11-1-111−i−iii-1-111ii−i−i1-111−ii-1-1−i−iii−ii−i−iii11-1-1-1-111ii−i−ii−iii−i−i-1-1111-1−ii-11i−i
χ311111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-1-1-11111-1-111ii−i−i-1-1−iiii−i−i-1-11111−i−iii-1-111ii−i−i1-1-1-1−ii11ii−i−i−iiii−i−i-1-11111-1-1−i−iiii−i−i−iii11-1-11-1−ii-11i−i
χ321111-1-1-1-1-1-1111111−i−iii-1-1-1-1-1-1-1-11111-1-111−i−iii-1-1−iiii−i−i11-1-111−i−iii-1-111ii−i−i-11-1-1i−i11−i−iii−iiii−i−i11-1-111-1-1ii−i−ii−i−i−iii-1-111-11i−i1-1−ii
χ332222222222-122-1-1-12222-1-1-1-10000000022222222-1-12222222222-1-1-1-1-1-10000000022-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-10000
χ342222222222-122-1-1-12222-1-1-1-1000000002222-2-2-2-2-1-1222222-2-2-2-2-1-1-1-1-1-100000000-2-2-1-1-2-2-1-11111-1-1-1-1-1-1111100000000000000000011110000
χ352222222222-122-1-1-12222-1-1-1-100000000-2-2-2-22222-1-122-2-2-2-22222-1-1-1-1-1-100000000-2-211-2-211-1-1-1-1-1-11111-1-1-1-100000000000000000011110000
χ362222222222-122-1-1-12222-1-1-1-100000000-2-2-2-2-2-2-2-2-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-100000000221122111111-1-111111111000000000000000000-1-1-1-10000
χ372222222222-122-1-1-1-2-2-2-2-1-1-1-10000000022222222-1-1-2-2-2-2-2-2-2-2-2-2-1-1111100000000-2-2-1-122-1-1-1-1-1-1111111111100000000000000000011-1-10000
χ382222222222-122-1-1-1-2-2-2-2-1-1-1-1000000002222-2-2-2-2-1-1-2-2-2-2-2-22222-1-111110000000022-1-1-2-2-1-11111111111-1-1-1-1000000000000000000-1-1110000
χ392222222222-122-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-22222-1-1-2-22222-2-2-2-2-1-11111000000002211-2-211-1-1-1-111-1-1-1-11111000000000000000000-1-1110000
χ402222222222-122-1-1-1-2-2-2-2-1-1-1-100000000-2-2-2-2-2-2-2-2-1-1-2-222222222-1-1111100000000-2-2112211111111-1-1-1-1-1-1-1-100000000000000000011-1-10000
χ4122222222-2-22-2-2222222222222222222200000000-2-2-2-200000000-2-22222-2-2-2-22222000000000000-2-20000000000000000-2-20000000000000000
χ4222222222-2-22-2-222222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000-2-222222222-2-2-2-2000000000000-2-20000000000000000220000000000000000
χ4322222222-2-22-2-2222-2-2-2-222222222222200000000-2-22200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000220000000000000000220000000000000000
χ4422222222-2-22-2-2222-2-2-2-22222-2-2-2-2-2-2-2-200000000-2-22200000000-2-2-2-2-2-222222222000000000000220000000000000000-2-20000000000000000
χ452222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-22222-2-2-2-20000000022−2i2i00000000-2-22i2i−2i−2i-2-2222i2i−2i−2i000000000000−2i2i0000000000000000−2i2i0000000000000000
χ462222-2-2-2-2222-2-22222i2i−2i−2i-2-2-2-2-2-2-2-222220000000022−2i2i00000000-2-22i2i−2i−2i22-2-2−2i−2i2i2i000000000000−2i2i00000000000000002i−2i0000000000000000
χ472222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-22222-2-2-2-200000000222i−2i00000000-2-2−2i−2i2i2i-2-222−2i−2i2i2i0000000000002i−2i00000000000000002i−2i0000000000000000
χ482222-2-2-2-2222-2-2222−2i−2i2i2i-2-2-2-2-2-2-2-2222200000000222i−2i00000000-2-2−2i−2i2i2i22-2-22i2i−2i−2i0000000000002i−2i0000000000000000−2i2i0000000000000000
χ492222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i11110000000022-2-22i2i−2i−2i112i−2i2i2i−2i−2i22-2-2-1-1−i−iii000000002-2-1-12i−2i11−i−iii−ii−i−iii-1-111000000000000000000-11−ii0000
χ502222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i11110000000022-2-2−2i−2i2i2i112i−2i2i2i−2i−2i-2-222-1-1−i−iii00000000-22-1-1−2i2i11ii−i−i−ii−i−iii11-1-10000000000000000001-1i−i0000
χ512222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i111100000000-2-2222i2i−2i−2i112i−2i−2i−2i2i2i22-2-2-1-1−i−iii00000000-2211−2i2i-1-1−i−iii−iiii−i−i-1-1110000000000000000001-1i−i0000
χ522222-2-2-2-2-2-2-122-1-1-12i2i−2i−2i111100000000-2-222−2i−2i2i2i112i−2i−2i−2i2i2i-2-222-1-1−i−iii000000002-2112i−2i-1-1ii−i−i−iiii−i−i11-1-1000000000000000000-11−ii0000
χ532222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i11110000000022-2-22i2i−2i−2i11−2i2i−2i−2i2i2i-2-222-1-1ii−i−i00000000-22-1-12i−2i11−i−iiii−iii−i−i11-1-10000000000000000001-1−ii0000
χ542222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i11110000000022-2-2−2i−2i2i2i11−2i2i−2i−2i2i2i22-2-2-1-1ii−i−i000000002-2-1-1−2i2i11ii−i−ii−iii−i−i-1-111000000000000000000-11i−i0000
χ552222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i111100000000-2-2222i2i−2i−2i11−2i2i2i2i−2i−2i-2-222-1-1ii−i−i000000002-211−2i2i-1-1−i−iiii−i−i−iii11-1-1000000000000000000-11i−i0000
χ562222-2-2-2-2-2-2-122-1-1-1−2i−2i2i2i111100000000-2-222−2i−2i2i2i11−2i2i2i2i−2i−2i22-2-2-1-1ii−i−i00000000-22112i−2i-1-1ii−i−ii−i−i−iii-1-1110000000000000000001-1−ii0000
χ5722-2-222-2-22-22-22-2-220000-2-2222i2i−2i−2i2i2i−2i−2i2-22-20000-2200000000002-200002i−2i2i−2i0000002-2002-2000000000000002i−2i2i−2i0000000000000000000000
χ5822-2-222-2-22-22-22-2-220000-2-2222i2i−2i−2i2i2i−2i−2i-22-220000-2200000000002-200002i−2i2i−2i000000-2200-2200000000000000−2i2i−2i2i0000000000000000000000
χ5922-2-222-2-22-22-22-2-220000-2-222−2i−2i2i2i−2i−2i2i2i2-22-20000-2200000000002-20000−2i2i−2i2i0000002-2002-200000000000000−2i2i−2i2i0000000000000000000000
χ6022-2-222-2-22-22-22-2-220000-2-222−2i−2i2i2i−2i−2i2i2i-22-220000-2200000000002-20000−2i2i−2i2i000000-2200-22000000000000002i−2i2i−2i0000000000000000000000
χ6122-2-222-2-2-2222-2-2-220000-2-2222i2i−2i−2i2i2i−2i−2i000000002-2002-22-20000-220000−2i2i−2i2i0000000000000000002-22-2000000000000002i−2i2i−2i000000000000
χ6222-2-222-2-2-2222-2-2-220000-2-2222i2i−2i−2i2i2i−2i−2i000000002-200-22-220000-220000−2i2i−2i2i000000000000000000-22-2200000000000000−2i2i−2i2i000000000000
χ6322-2-222-2-2-2222-2-2-220000-2-222−2i−2i2i2i−2i−2i2i2i000000002-2002-22-20000-2200002i−2i2i−2i0000000000000000002-22-200000000000000−2i2i−2i2i000000000000
χ6422-2-222-2-2-2222-2-2-220000-2-222−2i−2i2i2i−2i−2i2i2i000000002-200-22-220000-2200002i−2i2i−2i000000000000000000-22-22000000000000002i−2i2i−2i000000000000
χ6522-2-2-2-2222-222-2-2-22000022-2-22i2i−2i−2i−2i−2i2i2i00000000-22002i−2i−2i2i0000-220000−2i2i2i−2i0000000000000000002i−2i−2i2i00000000000000-222-2000000000000
χ6622-2-2-2-2222-222-2-2-22000022-2-22i2i−2i−2i−2i−2i2i2i00000000-2200−2i2i2i−2i0000-220000−2i2i2i−2i000000000000000000−2i2i2i−2i000000000000002-2-22000000000000
χ6722-2-2-2-2222-222-2-2-22000022-2-2−2i−2i2i2i2i2i−2i−2i00000000-22002i−2i−2i2i0000-2200002i−2i−2i2i0000000000000000002i−2i−2i2i000000000000002-2-22000000000000
χ6822-2-2-2-2222-222-2-2-22000022-2-2−2i−2i2i2i2i2i−2i−2i00000000-2200−2i2i2i−2i0000-2200002i−2i−2i2i000000000000000000−2i2i2i−2i00000000000000-222-2000000000000
χ6922-2-2-2-222-222-22-2-22000022-2-22i2i−2i−2i−2i−2i2i2i2-2-2200002-200000000002-200002i−2i−2i2i0000002-200-22000000000000002i−2i−2i2i0000000000000000000000
χ7022-2-2-2-222-222-22-2-22000022-2-22i2i−2i−2i−2i−2i2i2i-222-200002-200000000002-200002i−2i−2i2i000000-22002-200000000000000−2i2i2i−2i0000000000000000000000
χ7122-2-2-2-222-222-22-2-22000022-2-2−2i−2i2i2i2i2i−2i−2i2-2-2200002-200000000002-20000−2i2i2i−2i0000002-200-2200000000000000−2i2i2i−2i0000000000000000000000
χ7222-2-2-2-222-222-22-2-22000022-2-2−2i−2i2i2i2i2i−2i−2i-222-200002-200000000002-20000−2i2i2i−2i000000-22002-2000000000000002i−2i−2i2i0000000000000000000000
χ732-22-22i−2i2i−2i002002-2-22ζ−2ζ2ζ3−2ζ32i−2i2i−2i2-22-22i−2i2i−2i00001+i−1−i1−i−1+i000000002−2i2−i2002ζ−2ζ2ζ3−2ζ300002ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i0000002−2i2−i200001+i−1−i1−i−1+i0000002−2i2−i200000000
χ742-22-22i−2i2i−2i002002-2-22ζ−2ζ2ζ3−2ζ32i−2i2i−2i2-22-22i−2i2i−2i0000−1−i1+i−1+i1−i00000000−22−i2i2002ζ−2ζ2ζ3−2ζ300002ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i000000−22−i2i20000−1−i1+i−1+i1−i000000−22−i2i200000000
χ752-22-22i−2i2i−2i002002-2-22ζ−2ζ2ζ3−2ζ32i−2i2i−2i-22-22−2i2i−2i2i00001+i−1−i1−i−1+i000000002−2i2−i2002ζ−2ζ2ζ3−2ζ30000−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i0000002−2i2−i20000−1−i1+i−1+i1−i000000−22−i2i200000000
χ762-22-22i−2i2i−2i002002-2-22ζ−2ζ2ζ3−2ζ32i−2i2i−2i-22-22−2i2i−2i2i0000−1−i1+i−1+i1−i00000000−22−i2i2002ζ−2ζ2ζ3−2ζ30000−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i000000−22−i2i200001+i−1−i1−i−1+i0000002−2i2−i200000000
χ772-22-22i−2i2i−2i002002-2-2−2ζ2ζ−2ζ32ζ32i−2i2i−2i2-22-22i−2i2i−2i00001+i−1−i1−i−1+i00000000−22−i2i200−2ζ2ζ−2ζ32ζ30000−2ζ2ζ−2ζ32ζ3000000001+i−1−i1−i−1+i000000−22−i2i200001+i−1−i1−i−1+i000000−22−i2i200000000
χ782-22-22i−2i2i−2i002002-2-2−2ζ2ζ−2ζ32ζ32i−2i2i−2i2-22-22i−2i2i−2i0000−1−i1+i−1+i1−i000000002−2i2−i200−2ζ2ζ−2ζ32ζ30000−2ζ2ζ−2ζ32ζ300000000−1−i1+i−1+i1−i0000002−2i2−i20000−1−i1+i−1+i1−i0000002−2i2−i200000000
χ792-22-22i−2i2i−2i002002-2-2−2ζ2ζ−2ζ32ζ32i−2i2i−2i-22-22−2i2i−2i2i00001+i−1−i1−i−1+i00000000−22−i2i200−2ζ2ζ−2ζ32ζ300002ζ−2ζ2ζ3−2ζ3000000001+i−1−i1−i−1+i000000−22−i2i20000−1−i1+i−1+i1−i0000002−2i2−i200000000
χ802-22-22i−2i2i−2i002002-2-2−2ζ2ζ−2ζ32ζ32i−2i2i−2i-22-22−2i2i−2i2i0000−1−i1+i−1+i1−i000000002−2i2−i200−2ζ2ζ−2ζ32ζ300002ζ−2ζ2ζ3−2ζ300000000−1−i1+i−1+i1−i0000002−2i2−i200001+i−1−i1−i−1+i000000−22−i2i200000000
χ812-22-2−2i2i−2i2i002002-2-22ζ3−2ζ32ζ−2ζ−2i2i−2i2i2-22-2−2i2i−2i2i00001−i−1+i1+i−1−i00000000−22i2−i2002ζ3−2ζ32ζ−2ζ00002ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i000000−22i2−i200001−i−1+i1+i−1−i000000−22i2−i200000000
χ822-22-2−2i2i−2i2i002002-2-22ζ3−2ζ32ζ−2ζ−2i2i−2i2i2-22-2−2i2i−2i2i0000−1+i1−i−1−i1+i000000002−2−i2i2002ζ3−2ζ32ζ−2ζ00002ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i0000002−2−i2i20000−1+i1−i−1−i1+i0000002−2−i2i200000000
χ832-22-2−2i2i−2i2i002002-2-22ζ3−2ζ32ζ−2ζ−2i2i−2i2i-22-222i−2i2i−2i00001−i−1+i1+i−1−i00000000−22i2−i2002ζ3−2ζ32ζ−2ζ0000−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i000000−22i2−i20000−1+i1−i−1−i1+i0000002−2−i2i200000000
χ842-22-2−2i2i−2i2i002002-2-22ζ3−2ζ32ζ−2ζ−2i2i−2i2i-22-222i−2i2i−2i0000−1+i1−i−1−i1+i000000002−2−i2i2002ζ3−2ζ32ζ−2ζ0000−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i0000002−2−i2i200001−i−1+i1+i−1−i000000−22i2−i200000000
χ852-22-2−2i2i−2i2i002002-2-2−2ζ32ζ3−2ζ2ζ−2i2i−2i2i2-22-2−2i2i−2i2i00001−i−1+i1+i−1−i000000002−2−i2i200−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ3−2ζ2ζ000000001−i−1+i1+i−1−i0000002−2−i2i200001−i−1+i1+i−1−i0000002−2−i2i200000000
χ862-22-2−2i2i−2i2i002002-2-2−2ζ32ζ3−2ζ2ζ−2i2i−2i2i2-22-2−2i2i−2i2i0000−1+i1−i−1−i1+i00000000−22i2−i200−2ζ32ζ3−2ζ2ζ0000−2ζ32ζ3−2ζ2ζ00000000−1+i1−i−1−i1+i000000−22i2−i20000−1+i1−i−1−i1+i000000−22i2−i200000000
χ872-22-2−2i2i−2i2i002002-2-2−2ζ32ζ3−2ζ2ζ−2i2i−2i2i-22-222i−2i2i−2i00001−i−1+i1+i−1−i000000002−2−i2i200−2ζ32ζ3−2ζ2ζ00002ζ3−2ζ32ζ−2ζ000000001−i−1+i1+i−1−i0000002−2−i2i20000−1+i1−i−1−i1+i000000−22i2−i200000000
χ882-22-2−2i2i−2i2i002002-2-2−2ζ32ζ3−2ζ2ζ−2i2i−2i2i-22-222i−2i2i−2i0000−1+i1−i−1−i1+i00000000−22i2−i200−2ζ32ζ3−2ζ2ζ00002ζ3−2ζ32ζ−2ζ00000000−1+i1−i−1−i1+i000000−22i2−i200001−i−1+i1+i−1−i0000002−2−i2i200000000
χ8944444444-4-4-2-4-4-2-2-24444-2-2-2-2000000000000000022-4-40000000022-2-2-2-200000000000000000000220000000000000000000000000000000000
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χ9744-4-4-4-4444-4-24-422-20000-2-22200000000000000002-2004i−4i−4i4i00002-200000000000000000000000000−2i2i2i−2i000000000000000000000000000000
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χ1014-44-44i−4i4i−4i00-200-2224ζ−4ζ4ζ3−4ζ3−2i2i−2i2i0000000000002+2i−2−2i2−2i−2+2i0000000022−222i2−2i200−2ζ2ζ−2ζ32ζ30000000000000000−1−i1+i−1+i1−i000000−22−i2i200000000000000000000000000
χ1024-44-44i−4i4i−4i00-200-2224ζ−4ζ4ζ3−4ζ3−2i2i−2i2i000000000000−2−2i2+2i−2+2i2−2i00000000−2222−2i22i200−2ζ2ζ−2ζ32ζ300000000000000001+i−1−i1−i−1+i0000002−2i2−i200000000000000000000000000
χ1034-44-44i−4i4i−4i00-200-222−4ζ4ζ−4ζ34ζ3−2i2i−2i2i0000000000002+2i−2−2i2−2i−2+2i00000000−2222−2i22i2002ζ−2ζ2ζ3−2ζ30000000000000000−1−i1+i−1+i1−i0000002−2i2−i200000000000000000000000000
χ1044-44-44i−4i4i−4i00-200-222−4ζ4ζ−4ζ34ζ3−2i2i−2i2i000000000000−2−2i2+2i−2+2i2−2i0000000022−222i2−2i2002ζ−2ζ2ζ3−2ζ300000000000000001+i−1−i1−i−1+i000000−22−i2i200000000000000000000000000
χ1054-44-4−4i4i−4i4i00-200-2224ζ3−4ζ34ζ−4ζ2i−2i2i−2i0000000000002−2i−2+2i2+2i−2−2i00000000−22222i2−2i200−2ζ32ζ3−2ζ2ζ0000000000000000−1+i1−i−1−i1+i0000002−2−i2i200000000000000000000000000
χ1064-44-4−4i4i−4i4i00-200-2224ζ3−4ζ34ζ−4ζ2i−2i2i−2i000000000000−2+2i2−2i−2−2i2+2i0000000022−22−2i22i200−2ζ32ζ3−2ζ2ζ00000000000000001−i−1+i1+i−1−i000000−22i2−i200000000000000000000000000
χ1074-44-4−4i4i−4i4i00-200-222−4ζ34ζ3−4ζ4ζ2i−2i2i−2i0000000000002−2i−2+2i2+2i−2−2i0000000022−22−2i22i2002ζ3−2ζ32ζ−2ζ0000000000000000−1+i1−i−1−i1+i000000−22i2−i200000000000000000000000000
χ1084-44-4−4i4i−4i4i00-200-222−4ζ34ζ3−4ζ4ζ2i−2i2i−2i000000000000−2+2i2−2i−2−2i2+2i00000000−22222i2−2i2002ζ3−2ζ32ζ−2ζ00000000000000001−i−1+i1+i−1−i0000002−2−i2i200000000000000000000000000
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χ1104-4-444i−4i−4i4i00400-44-40000−4i4i4i−4i−4i4i4i−4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i00400-44-400004i−4i−4i4i4i−4i−4i4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i00400-44-400004i−4i−4i4i−4i4i4i−4i-444-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888i−8i−8i8i00-4004-4400004i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88−8i8i8i−8i00-4004-440000−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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