Finite Group Databasebeta

← Group #10801649

Character table — Group #10801649

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222444444444444444444444444444444444444444488888888888888888888121212121212121212121212121212122424242424242424
order1222444422344666888888881212121224242424242424242244444466888888881212121212121212121224242424242424242424242424666688121212122424242424242424444444448888888824448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ141111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ171111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-1-1ii−i−i11-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-11-11111i−i-1-1-1-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i1-1i−ii−i1-1
χ181111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i-1-1ii−i−i11-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-11-11111i−i-1-1-1-1ii−i−iii−i−i-1-111-1-111−i−iii−i−iii-11−ii−ii-11
χ191111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i11-1-1−i−iii-1-1ii−i−i-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-11111-1111-1-1−ii-1-111ii−i−i−i−iii11-1-111-1-1ii−i−iii−i−i-11−ii−ii-11
χ201111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i11-1-1−i−iii-1-1ii−i−i-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-11111-1111-1-1−ii-1-111ii−i−i−i−iii-1-111-1-111−i−iii−i−iii1-1i−ii−i1-1
χ211111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111ii−i−i-1-1−i−iii11-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-1-11-1-1-1-1−ii1111−i−iii−i−iii11-1-1-1-111ii−i−i−i−iii1-1−iii−i-11
χ221111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111ii−i−i-1-1−i−iii11-1-11iiii−i−i−i−i1ii−i−i1111-1-1-1-1-11-1-1-1-1−ii1111−i−iii−i−iii-1-11111-1-1−i−iiiii−i−i-11i−i−ii1-1
χ231111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-1−i−iii-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-111111-1-1-111i−i11-1-1−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iii-11i−i−ii1-1
χ241111-1-1-1-1-1-1111111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-1−i−iii-1-1111−i−i−i−iiiii1ii−i−i-1-1-1-111111-1-1-111i−i11-1-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−i1-1−iii−i-11
χ251111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii11-1-1ii−i−i-1-1−i−iii-1-1111iiii−i−i−i−i1−i−iii-1-1-1-11111-1111-1-1i−i-1-111−i−iiiii−i−i11-1-111-1-1−i−iii−i−iii-11i−ii−i-11
χ261111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii11-1-1ii−i−i-1-1−i−iii-1-1111iiii−i−i−i−i1−i−iii-1-1-1-11111-1111-1-1i−i-1-111−i−iiiii−i−i-1-111-1-111ii−i−iii−i−i1-1−ii−ii1-1
χ271111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-1−i−iii11-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-11-11111−ii-1-1-1-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii1-1−ii−ii1-1
χ281111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-1−i−iii11-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-11-11111−ii-1-1-1-1−i−iii−i−iii-1-111-1-111ii−i−iii−i−i-11i−ii−i-11
χ291111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-1ii−i−i-1-1111iiii−i−i−i−i1−i−iii-1-1-1-111111-1-1-111−ii11-1-1ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i-11−iii−i1-1
χ301111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-1ii−i−i-1-1111iiii−i−i−i−i1−i−iii-1-1-1-111111-1-1-111−ii11-1-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii1-1i−i−ii-11
χ311111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111−i−iii-1-1ii−i−i11-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-1-11-1-1-1-1i−i1111ii−i−iii−i−i11-1-1-1-111−i−iiiii−i−i1-1i−i−ii-11
χ321111-1-1-1-1-1-1111111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii-1-111−i−iii-1-1ii−i−i11-1-11−i−i−i−iiiii1−i−iii1111-1-1-1-1-11-1-1-1-1i−i1111ii−i−iii−i−i-1-11111-1-1ii−i−i−i−iii-11−iii−i1-1
χ332222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122222222-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ342222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-1-12222-2-2-2-2-111111111-1-1-1-1-111111111-2-2-1-111-2-2-1-111-1-1-1-11111000000000000000000000000
χ352222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-21111-2-2111111111111000000000000000000000000
χ362222222222-122-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-2-2-2-2-2-2-2-2-111111111-1-1-1-1-1111111112211-1-12211-1-11111-1-1-1-1000000000000000000000000
χ372222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111122222222-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111-2-2-1-11122-1-1111111-1-1-1-1000000000000000000000000
χ382222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111112222-2-2-2-2-1-1-2-2-2-22222-111111111-11111-1-1-1-1-1-1-1-122-1-1-1-1-2-2-1-1-1-111111111000000000000000000000000
χ392222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-2-2-2-22222-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-11111111111112211-1-1-2-211-1-1-1-1-1-11111000000000000000000000000
χ402222222222-122-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-2-2-2-2-2-2-2-2-1-122222222-111111111-11111-1-1-1-1-1-1-1-1-2-21111221111-1-1-1-1-1-1-1-1000000000000000000000000
χ4122222222-2-22-2-222222-2-222-2-222222222222200000000-2-200000000-200000000-2-2-2-2-2000000000000000000000000000000002-22-200002-22-200000000
χ4222222222-2-22-2-222222-2-222-2-222222222222200000000-2-200000000-200000000-2-2-2-2-200000000000000000000000000000000-22-220000-22-2200000000
χ4322222222-2-22-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-200000000-2-200000000-200000000-22222000000000000000000000000000000002-22-20000-22-2200000000
χ4422222222-2-22-2-2222-2-222-2-2222222-2-2-2-2-2-2-2-200000000-2-200000000-200000000-2222200000000000000000000000000000000-22-2200002-22-200000000
χ452222-2-2-2-2222-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002200000000-200000000-2−2i−2i2i2i000000000000000000000000000000002-2-2200002i−2i−2i2i00000000
χ462222-2-2-2-2222-2-22222i2i−2i−2i−2i−2i2i2i-2-2-2-22i2i2i2i−2i−2i−2i−2i000000002200000000-200000000-2−2i−2i2i2i00000000000000000000000000000000-222-20000−2i2i2i−2i00000000
χ472222-2-2-2-2222-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002200000000-200000000-22i2i−2i−2i000000000000000000000000000000002-2-220000−2i2i2i−2i00000000
χ482222-2-2-2-2222-2-2222−2i−2i2i2i2i2i−2i−2i-2-2-2-2−2i−2i−2i−2i2i2i2i2i000000002200000000-200000000-22i2i−2i−2i00000000000000000000000000000000-222-200002i−2i−2i2i00000000
χ492222-2-2-2-2-2-2-122-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii22-2-22i2i−2i−2i112i2i−2i−2i22-2-2-1−i−i−i−iiiii-1−i−iii-1-1-1-111112-2-1-1-1-12i−2i1111−i−iii−i−iii000000000000000000000000
χ502222-2-2-2-2-2-2-122-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii22-2-2−2i−2i2i2i112i2i−2i−2i-2-222-1iiii−i−i−i−i-1−i−iii1111-1-1-1-1-22-1-111−2i2i11-1-1−i−iiiii−i−i000000000000000000000000
χ512222-2-2-2-2-2-2-122-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii-2-2222i2i−2i−2i11−2i−2i2i2i22-2-2-1−i−i−i−iiiii-1−i−iii-1-1-1-11111-221111−2i2i-1-1-1-1ii−i−iii−i−i000000000000000000000000
χ522222-2-2-2-2-2-2-122-1-1-12i2i2i2i−2i−2i−2i−2i1111−i−i−i−iiiii-2-222−2i−2i2i2i11−2i−2i2i2i-2-222-1iiii−i−i−i−i-1−i−iii1111-1-1-1-12-211-1-12i−2i-1-111ii−i−i−i−iii000000000000000000000000
χ532222-2-2-2-2-2-2-122-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i22-2-22i2i−2i−2i11−2i−2i2i2i-2-222-1−i−i−i−iiiii-1ii−i−i1111-1-1-1-1-22-1-1112i−2i11-1-1ii−i−i−i−iii000000000000000000000000
χ542222-2-2-2-2-2-2-122-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i22-2-2−2i−2i2i2i11−2i−2i2i2i22-2-2-1iiii−i−i−i−i-1ii−i−i-1-1-1-111112-2-1-1-1-1−2i2i1111ii−i−iii−i−i000000000000000000000000
χ552222-2-2-2-2-2-2-122-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i-2-2222i2i−2i−2i112i2i−2i−2i-2-222-1−i−i−i−iiiii-1ii−i−i1111-1-1-1-12-211-1-1−2i2i-1-111−i−iiiii−i−i000000000000000000000000
χ562222-2-2-2-2-2-2-122-1-1-1−2i−2i−2i−2i2i2i2i2i1111iiii−i−i−i−i-2-222−2i−2i2i2i112i2i−2i−2i22-2-2-1iiii−i−i−i−i-1ii−i−i-1-1-1-11111-2211112i−2i-1-1-1-1−i−iii−i−iii000000000000000000000000
χ5722-2-222-2-22-222-2-2-222-22-22-22-2-2-22222-2-222-2-2000000002-200000000200000000-22-22-200000000000000000000000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ5822-2-222-2-22-222-2-2-222-22-22-22-2-2-22222-2-222-2-2000000002-200000000200000000-22-22-20000000000000000000000000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ5922-2-222-2-22-222-2-2-22-22-22-22-22-2-222-2-222-2-222000000002-200000000200000000-2-22-2200000000000000000000000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ6022-2-222-2-22-222-2-2-22-22-22-22-22-2-222-2-222-2-222000000002-200000000200000000-2-22-220000000000000000000000000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ6122-2-222-2-2-222-22-2-222-2-222-2-22-2-22222-2-222-2-22-22-20000-222-22-20000-2000000002-22-2200000000002-200002-2002-22-20000000000000000000000000000
χ6222-2-222-2-2-222-22-2-222-2-222-2-22-2-22222-2-222-2-2-22-220000-22-22-220000-2000000002-22-220000000000-220000-2200-22-220000000000000000000000000000
χ6322-2-222-2-2-222-22-2-22-222-2-222-2-2-222-2-222-2-2222-22-20000-22-22-220000-20000000022-22-200000000002-200002-200-22-220000000000000000000000000000
χ6422-2-222-2-2-222-22-2-22-222-2-222-2-2-222-2-222-2-222-22-220000-222-22-20000-20000000022-22-20000000000-220000-22002-22-20000000000000000000000000000
χ6522-2-222-2-2-22-1-2211-12-2-222-2-2211-1-1-1-111-1-1112-22-200001-12-22-200001−i3−i3i3i3−i3−i3i3i3-11-11-1−i3−i3i3i3−i3−i3i3i300-11−i3i300-11−i3i3-11-11−i3i3−i3i3000000000000000000000000
χ6622-2-222-2-2-22-1-2211-12-2-222-2-2211-1-1-1-111-1-1112-22-200001-12-22-200001i3i3−i3−i3i3i3−i3−i3-11-11-1i3i3−i3−i3i3i3−i3−i300-11i3−i300-11i3−i3-11-11i3−i3i3−i3000000000000000000000000
χ6722-2-222-2-2-22-1-2211-12-2-222-2-2211-1-1-1-111-1-111-22-2200001-1-22-2200001−i3−i3i3i3−i3−i3i3i3-11-11-1−i3−i3i3i3−i3−i3i3i3001-1i3−i3001-1i3−i31-11-1i3−i3i3−i3000000000000000000000000
χ6822-2-222-2-2-22-1-2211-12-2-222-2-2211-1-1-1-111-1-111-22-2200001-1-22-2200001i3i3−i3−i3i3i3−i3−i3-11-11-1i3i3−i3−i3i3i3−i3−i3001-1−i3i3001-1−i3i31-11-1−i3i3−i3i3000000000000000000000000
χ6922-2-222-2-2-22-1-2211-1-222-2-222-211-1-111-1-111-1-12-22-200001-1-22-2200001−i3−i3i3i3−i3−i3i3i3-1-11-11i3i3−i3−i3i3i3−i3−i300-11i3−i300-11i3−i31-11-1−i3i3−i3i3000000000000000000000000
χ7022-2-222-2-2-22-1-2211-1-222-2-222-211-1-111-1-111-1-12-22-200001-1-22-2200001i3i3−i3−i3i3i3−i3−i3-1-11-11−i3−i3i3i3−i3−i3i3i300-11−i3i300-11−i3i31-11-1i3−i3i3−i3000000000000000000000000
χ7122-2-222-2-2-22-1-2211-1-222-2-222-211-1-111-1-111-1-1-22-2200001-12-22-200001−i3−i3i3i3−i3−i3i3i3-1-11-11i3i3−i3−i3i3i3−i3−i3001-1−i3i3001-1−i3i3-11-11i3−i3i3−i3000000000000000000000000
χ7222-2-222-2-2-22-1-2211-1-222-2-222-211-1-111-1-111-1-1-22-2200001-12-22-200001i3i3−i3−i3i3i3−i3−i3-1-11-11−i3−i3i3i3−i3−i3i3i3001-1i3−i3001-1i3−i3-11-11−i3i3−i3i3000000000000000000000000
χ7322-2-2-2-2222-22-22-2-222i−2i−2i2i−2i2i2i−2i22-2-22i2i−2i−2i−2i−2i2i2i2-2-2200002-22i−2i−2i2i0000-2000000002−2i2i2i−2i00000000002-20000-22002i−2i−2i2i0000000000000000000000000000
χ7422-2-2-2-2222-22-22-2-222i−2i−2i2i−2i2i2i−2i22-2-22i2i−2i−2i−2i−2i2i2i-222-200002-2−2i2i2i−2i0000-2000000002−2i2i2i−2i0000000000-2200002-200−2i2i2i−2i0000000000000000000000000000
χ7522-2-2-2-2222-22-22-2-22−2i2i2i−2i2i−2i−2i2i22-2-2−2i−2i2i2i2i2i−2i−2i2-2-2200002-2−2i2i2i−2i0000-20000000022i−2i−2i2i00000000002-20000-2200−2i2i2i−2i0000000000000000000000000000
χ7622-2-2-2-2222-22-22-2-22−2i2i2i−2i2i−2i−2i2i22-2-2−2i−2i2i2i2i2i−2i−2i-222-200002-22i−2i−2i2i0000-20000000022i−2i−2i2i0000000000-2200002-2002i−2i−2i2i0000000000000000000000000000
χ7722-2-2-2-2222-2-1-2211-12i−2i−2i2i−2i2i2i−2i-1-111−i−iiiii−i−i2-2-220000-112i−2i−2i2i0000133−3−3−3−333-1i−i−ii−i3−i3i3i3i3i3−i3−i300-11−i3i3001-1i3−i3−iii−i3−3−33000000000000000000000000
χ7822-2-2-2-2222-2-1-2211-12i−2i−2i2i−2i2i2i−2i-1-111−i−iiiii−i−i2-2-220000-112i−2i−2i2i00001−3−33333−3−3-1i−i−iii3i3−i3−i3−i3−i3i3i300-11i3−i3001-1−i3i3−iii−i−333−3000000000000000000000000
χ7922-2-2-2-2222-2-1-2211-12i−2i−2i2i−2i2i2i−2i-1-111−i−iiiii−i−i-222-20000-11−2i2i2i−2i0000133−3−3−3−333-1i−i−ii−i3−i3i3i3i3i3−i3−i3001-1i3−i300-11−i3i3i−i−ii−333−3000000000000000000000000
χ8022-2-2-2-2222-2-1-2211-12i−2i−2i2i−2i2i2i−2i-1-111−i−iiiii−i−i-222-20000-11−2i2i2i−2i00001−3−33333−3−3-1i−i−iii3i3−i3−i3−i3−i3i3i3001-1−i3i300-11i3−i3i−i−ii3−3−33000000000000000000000000
χ8122-2-2-2-2222-2-1-2211-1−2i2i2i−2i2i−2i−2i2i-1-111ii−i−i−i−iii2-2-220000-11−2i2i2i−2i0000133−3−3−3−333-1−iii−ii3i3−i3−i3−i3−i3i3i300-11i3−i3001-1−i3i3i−i−ii3−3−33000000000000000000000000
χ8222-2-2-2-2222-2-1-2211-1−2i2i2i−2i2i−2i−2i2i-1-111ii−i−i−i−iii2-2-220000-11−2i2i2i−2i00001−3−33333−3−3-1−iii−i−i3−i3i3i3i3i3−i3−i300-11−i3i3001-1i3−i3i−i−ii−333−3000000000000000000000000
χ8322-2-2-2-2222-2-1-2211-1−2i2i2i−2i2i−2i−2i2i-1-111ii−i−i−i−iii-222-20000-112i−2i−2i2i0000133−3−3−3−333-1−iii−ii3i3−i3−i3−i3−i3i3i3001-1−i3i300-11i3−i3−iii−i−333−3000000000000000000000000
χ8422-2-2-2-2222-2-1-2211-1−2i2i2i−2i2i−2i−2i2i-1-111ii−i−i−i−iii-222-20000-112i−2i−2i2i00001−3−33333−3−3-1−iii−i−i3−i3i3i3i3i3−i3−i3001-1i3−i300-11−i3i3−iii−i3−3−33000000000000000000000000
χ8522-2-2-2-222-2222-2-2-222i−2i2i−2i−2i2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i00000000-2200000000200000000-22i−2i−2i2i00000000000000000000000000002i−2i−2i2i0000-222-2000000000000
χ8622-2-2-2-222-2222-2-2-222i−2i2i−2i−2i2i−2i2i22-2-22i2i−2i−2i−2i−2i2i2i00000000-2200000000200000000-22i−2i−2i2i0000000000000000000000000000−2i2i2i−2i00002-2-22000000000000
χ8722-2-2-2-222-2222-2-2-22−2i2i−2i2i2i−2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i00000000-2200000000200000000-2−2i2i2i−2i00000000000000000000000000002i−2i−2i2i00002-2-22000000000000
χ8822-2-2-2-222-2222-2-2-22−2i2i−2i2i2i−2i2i−2i22-2-2−2i−2i2i2i2i2i−2i−2i00000000-2200000000200000000-2−2i2i2i−2i0000000000000000000000000000−2i2i2i−2i0000-222-2000000000000
χ8944444444-4-4-2-4-4-2-2-244-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2000000002200000000200000000222220000000000000000000000000000000000000000000000000000
χ9044444444-4-4-2-4-4-2-2-2-4-444-4-444-2-2-2-2222222220000000022000000002000000002-2-2-2-20000000000000000000000000000000000000000000000000000
χ914444-4-4-4-444-2-4-4-2-2-24i4i−4i−4i−4i−4i4i4i2222−2i−2i−2i−2i2i2i2i2i00000000-2-20000000020000000022i2i−2i−2i0000000000000000000000000000000000000000000000000000
χ924444-4-4-4-444-2-4-4-2-2-2−4i−4i4i4i4i4i−4i−4i22222i2i2i2i−2i−2i−2i−2i00000000-2-2000000002000000002−2i−2i2i2i0000000000000000000000000000000000000000000000000000
χ9344-4-444-4-44-4-24-422-24-44-44-44-422-2-2-2-222-2-22200000000-2200000000-2000000002-22-220000000000000000000000000000000000000000000000000000
χ9444-4-444-4-44-4-24-422-2-44-44-44-4422-2-222-2-222-2-200000000-2200000000-20000000022-22-20000000000000000000000000000000000000000000000000000
χ9544-4-4-4-444-44-24-422-24i−4i4i−4i−4i4i−4i4i-2-222−2i−2i2i2i2i2i−2i−2i000000002-200000000-2000000002−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ9644-4-4-4-444-44-24-422-2−4i4i−4i4i4i−4i4i−4i-2-2222i2i−2i−2i−2i−2i2i2i000000002-200000000-20000000022i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ974-44-44i−4i4i−4i004004-4-4000000004i−4i4i−4i000000000000000000000022−22−2i22i20000000000000022−2222−22−2i22i2−2i22i200000000000000000000000000000000000000000000
χ984-44-44i−4i4i−4i004004-4-4000000004i−4i4i−4i0000000000000000000000−22222i2−2i200000000000000−2222−22222i2−2i22i2−2i200000000000000000000000000000000000000000000
χ994-44-44i−4i4i−4i00-200-22200000000−2i2i−2i2i−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ130000000000000022−22−2i22i20−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000−22−22i2−i2i2−i200000000000000000000000000000000000000000000
χ1004-44-44i−4i4i−4i00-200-22200000000−2i2i−2i2i−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ1300000000000000−22222i2−2i20ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000002−22−2−i2i2−i2i200000000000000000000000000000000000000000000
χ1014-44-44i−4i4i−4i00-200-22200000000−2i2i−2i2i2ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ130000000000000022−22−2i22i20ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000−22−22i2−i2i2−i200000000000000000000000000000000000000000000
χ1024-44-44i−4i4i−4i00-200-22200000000−2i2i−2i2i2ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ1300000000000000−22222i2−2i20−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000002−22−2−i2i2−i2i200000000000000000000000000000000000000000000
χ1034-44-4−4i4i−4i4i004004-4-400000000−4i4i−4i4i000000000000000000000022−222i2−2i20000000000000022−2222−222i2−2i22i2−2i200000000000000000000000000000000000000000000
χ1044-44-4−4i4i−4i4i004004-4-400000000−4i4i−4i4i0000000000000000000000−2222−2i22i200000000000000−2222−2222−2i22i2−2i22i200000000000000000000000000000000000000000000
χ1054-44-4−4i4i−4i4i00-200-222000000002i−2i2i−2i2ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ230000000000000022−222i2−2i20ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000−22−22−i2i2−i2i200000000000000000000000000000000000000000000
χ1064-44-4−4i4i−4i4i00-200-222000000002i−2i2i−2i2ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ2300000000000000−2222−2i22i20−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000002−22−2i2−i2i2−i200000000000000000000000000000000000000000000
χ1074-44-4−4i4i−4i4i00-200-222000000002i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ230000000000000022−222i2−2i20−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000−22−22−i2i2−i2i200000000000000000000000000000000000000000000
χ1084-44-4−4i4i−4i4i00-200-222000000002i−2i2i−2i−2ζ5+2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ7+2ζ2300000000000000−2222−2i22i20ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000002−22−2i2−i2i2−i200000000000000000000000000000000000000000000
χ1094-4-444i−4i−4i4i00400-44-400000000−4i4i4i−4i0000000000002+2i−2−2i2−2i−2+2i000000000002+2i−2−2i−2−2i2+2i2−2i−2+2i−2+2i2−2i000000000000000000000000000000000000000000000000000000000
χ1104-4-444i−4i−4i4i00400-44-400000000−4i4i4i−4i000000000000−2−2i2+2i−2+2i2−2i00000000000−2−2i2+2i2+2i−2−2i−2+2i2−2i2−2i−2+2i000000000000000000000000000000000000000000000000000000000
χ1114-4-444i−4i−4i4i00-2002-22000000002i−2i−2i2i−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ1300002+2i−2−2i2−2i−2+2i00000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000−i6i6i6−i6−666−600000000000000000000000000000000000000000000
χ1124-4-444i−4i−4i4i00-2002-22000000002i−2i−2i2i−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ232ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ130000−2−2i2+2i−2+2i2−2i000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000i6−i6−i6i66−6−6600000000000000000000000000000000000000000000
χ1134-4-444i−4i−4i4i00-2002-22000000002i−2i−2i2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ1300002+2i−2−2i2−2i−2+2i00000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i00000i6−i6−i6i66−6−6600000000000000000000000000000000000000000000
χ1144-4-444i−4i−4i4i00-2002-22000000002i−2i−2i2i2ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ23−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ130000−2−2i2+2i−2+2i2−2i000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i00000−i6i6i6−i6−666−600000000000000000000000000000000000000000000
χ1154-4-44−4i4i4i−4i00400-44-4000000004i−4i−4i4i0000000000002−2i−2+2i2+2i−2−2i000000000002−2i−2+2i−2+2i2−2i2+2i−2−2i−2−2i2+2i000000000000000000000000000000000000000000000000000000000
χ1164-4-44−4i4i4i−4i00400-44-4000000004i−4i−4i4i000000000000−2+2i2−2i−2−2i2+2i00000000000−2+2i2−2i2−2i−2+2i−2−2i2+2i2+2i−2−2i000000000000000000000000000000000000000000000000000000000
χ1174-4-44−4i4i4i−4i00-2002-2200000000−2i2i2i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ2300002−2i−2+2i2+2i−2−2i00000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000i6−i6−i6i6−666−600000000000000000000000000000000000000000000
χ1184-4-44−4i4i4i−4i00-2002-2200000000−2i2i2i−2i2ζ5−2ζ13−2ζ5+2ζ13−2ζ5+2ζ132ζ5−2ζ13−2ζ7+2ζ232ζ7−2ζ232ζ7−2ζ23−2ζ7+2ζ230000−2+2i2−2i−2−2i2+2i000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000−i6i6i6−i66−6−6600000000000000000000000000000000000000000000
χ1194-4-44−4i4i4i−4i00-2002-2200000000−2i2i2i−2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ2300002−2i−2+2i2+2i−2−2i00000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i00000−i6i6i6−i66−6−6600000000000000000000000000000000000000000000
χ1204-4-44−4i4i4i−4i00-2002-2200000000−2i2i2i−2i−2ζ5+2ζ132ζ5−2ζ132ζ5−2ζ13−2ζ5+2ζ132ζ7−2ζ23−2ζ7+2ζ23−2ζ7+2ζ232ζ7−2ζ230000−2+2i2−2i−2−2i2+2i000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i00000i6−i6−i6i6−666−600000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.