Finite Group Databasebeta

← Group #10694526

Character table — Group #10694526

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222222222224444444444444444444444444444448888888888888888888888881212121212121212121212121212121248484848
order12224444223444444666888888881212121212121212121212124466888812121212121224242424242424242424242424242424888888882424242424242424242424242424242444444444888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ91111-1-1-1-1-1-111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-1
χ101111-1-1-1-1-1-111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-11
χ111111-1-1-1-1-1-111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-11
χ121111-1-1-1-1-1-111111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-1
χ131111-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1-1-11
χ141111-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-111-1
χ151111-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-111-1
χ161111-1-1-1-1-1-111111-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1-1-11
χ1722222222222-2-222-2-222222222222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ1822222222222-2-222-2-2222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ192222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ202222222222-1222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ212222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ222222222222-1222222-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ232222222222-1-2-222-2-2-1-1-1222222221111-1-1-1-11111-2-2-1-1-2-2-2-21111-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−300000000000000000000
χ242222222222-1-2-222-2-2-1-1-1222222221111-1-1-1-11111-2-2-1-1-2-2-2-21111-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−33300000000000000000000
χ252222222222-1-2-222-2-2-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111-2-2-1-122221111-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−33300000000000000000000
χ262222222222-1-2-222-2-2-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-11111-2-2-1-122221111-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−300000000000000000000
χ2722222222-2-2222-2-22222200000000222222222222-2-2-2-20000-2-2-2-2-2-200000000000000000000000000000000000000000000000022-2-222-2-20000
χ2822222222-2-2222-2-22222200000000222222222222-2-2-2-20000-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2-222-2-2220000
χ2922222222-2-22-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-222-2-200002222-2-200000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ3022222222-2-22-2-2-2-2-2-222200000000-2-2-2-22222-2-2-2-222-2-200002222-2-20000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ312222-2-2-2-222222-2-2-2-2222000000002222-2-2-2-2-2-2-2-2-22220000-2-222-2-20000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i0000
χ322222-2-2-2-222222-2-2-2-2222000000002222-2-2-2-2-2-2-2-2-22220000-2-222-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i0000
χ332222-2-2-2-2222-2-2-2-22222200000000-2-2-2-2-2-2-2-222222-222000022-2-2-2-2000000000000000000000000000000000000000022-2-2-2-222000000000000
χ342222-2-2-2-2222-2-2-2-22222200000000-2-2-2-2-2-2-2-222222-222000022-2-2-2-20000000000000000000000000000000000000000-2-22222-2-2000000000000
χ352222-2-2-2-2-2-22-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-22-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ362222-2-2-2-2-2-22-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-22222-22-2-222-2-2-2-22222-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ372222-2-2-2-2-2-2-12222-2-2-1-1-12222-2-2-2-2-1-1-1-1111111112-21122-2-2-1-111-1-1-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii00000000000000000000
χ382222-2-2-2-2-2-2-12222-2-2-1-1-12222-2-2-2-2-1-1-1-1111111112-21122-2-2-1-111-1-1-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000
χ392222-2-2-2-2-2-2-12222-2-2-1-1-1-2-2-2-22222-1-1-1-1111111112-211-2-222-1-111-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000
χ402222-2-2-2-2-2-2-12222-2-2-1-1-1-2-2-2-22222-1-1-1-1111111112-211-2-222-1-111-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000
χ412222-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-211111111-1-1-1-1-2211-2-22211-1-1-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ422222-2-2-2-2-2-2-1-2-22222-1-1-12222-2-2-2-211111111-1-1-1-1-2211-2-22211-1-1-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ432222-2-2-2-2-2-2-1-2-22222-1-1-1-2-2-2-2222211111111-1-1-1-1-221122-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ442222-2-2-2-2-2-2-1-2-22222-1-1-1-2-2-2-2222211111111-1-1-1-1-221122-2-211-1-1-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ4522-2-222-2-22-22002-2002-2-222-2-222-2-2000022-2-20000002-2000000002-222-2-2000022-2-200002−22−22−22−22−22−22−22−22−22−22−22−200000000000000000000
χ4622-2-222-2-22-22002-2002-2-222-2-222-2-2000022-2-20000002-2000000002-222-2-2000022-2-20000−22−22−22−22−22−22−22−22−22−22−22−2200000000000000000000
χ4722-2-222-2-22-22002-2002-2-2-2-222-2-222000022-2-20000002-2000000002-2-2-2220000-2-22200002−22−2−22−222−22−22−22−2−22−22−22−2200000000000000000000
χ4822-2-222-2-22-22002-2002-2-2-2-222-2-222000022-2-20000002-2000000002-2-2-2220000-2-2220000−22−222−22−2−22−22−22−222−22−22−22−200000000000000000000
χ4922-2-222-2-22-2-1002-200-11122-2-222-2-233−3−3-1-11133−3−300-1100003−33−3-11-1-11133−3−3-1-11133−3−32−22−22−22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ5022-2-222-2-22-2-1002-200-11122-2-222-2-233−3−3-1-11133−3−300-1100003−33−3-11-1-11133−3−3-1-11133−3−3−22−22−22−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ5122-2-222-2-22-2-1002-200-11122-2-222-2-2−3−333-1-111−3−33300-110000−33−33-11-1-111−3−333-1-111−3−3332−22−22−22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ5222-2-222-2-22-2-1002-200-11122-2-222-2-2−3−333-1-111−3−33300-110000−33−33-11-1-111−3−333-1-111−3−333−22−22−22−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ5322-2-222-2-22-2-1002-200-111-2-222-2-22233−3−3-1-11133−3−300-1100003−33−3-1111-1-1−3−33311-1-1−3−3332−22−2−22−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000000000
χ5422-2-222-2-22-2-1002-200-111-2-222-2-22233−3−3-1-11133−3−300-1100003−33−3-1111-1-1−3−33311-1-1−3−333−22−222−22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000000000
χ5522-2-222-2-22-2-1002-200-111-2-222-2-222−3−333-1-111−3−33300-110000−33−33-1111-1-133−3−311-1-133−3−32−22−2−22−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700000000000000000000
χ5622-2-222-2-22-2-1002-200-111-2-222-2-222−3−333-1-111−3−33300-110000−33−33-1111-1-133−3−311-1-133−3−3−22−222−22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700000000000000000000
χ5722-2-2-2-222-222002-2002-2-222-2-2-2-2220000-2-222000000-22000000002-222-2-20000-2-2220000−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ5822-2-2-2-222-222002-2002-2-222-2-2-2-2220000-2-222000000-22000000002-222-2-20000-2-2220000i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ5922-2-2-2-222-222002-2002-2-2-2-22222-2-20000-2-222000000-22000000002-2-2-222000022-2-20000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000000000000000
χ6022-2-2-2-222-222002-2002-2-2-2-22222-2-20000-2-222000000-22000000002-2-2-222000022-2-20000i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000000000000000
χ6122-2-2-2-222-22-1002-200-11122-2-2-2-22233−3−311-1-1−3−333001-100003−3−33-11-1-11133−3−311-1-1−3−333−i2i2i2−i2−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ6222-2-2-2-222-22-1002-200-11122-2-2-2-22233−3−311-1-1−3−333001-100003−3−33-11-1-11133−3−311-1-1−3−333i2−i2−i2i2i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ6322-2-2-2-222-22-1002-200-11122-2-2-2-222−3−33311-1-133−3−3001-10000−333−3-11-1-111−3−33311-1-133−3−3−i2i2i2−i2−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ6422-2-2-2-222-22-1002-200-11122-2-2-2-222−3−33311-1-133−3−3001-10000−333−3-11-1-111−3−33311-1-133−3−3i2−i2−i2i2i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ6522-2-2-2-222-22-1002-200-111-2-22222-2-233−3−311-1-1−3−333001-100003−3−33-1111-1-1−3−333-1-11133−3−3−i2i2i2−i2i2−i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000000000000000
χ6622-2-2-2-222-22-1002-200-111-2-22222-2-233−3−311-1-1−3−333001-100003−3−33-1111-1-1−3−333-1-11133−3−3i2−i2−i2i2−i2i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000000000000000
χ6722-2-2-2-222-22-1002-200-111-2-22222-2-2−3−33311-1-133−3−3001-10000−333−3-1111-1-133−3−3-1-111−3−333−i2i2i2−i2i2−i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000000000000000
χ6822-2-2-2-222-22-1002-200-111-2-22222-2-2−3−33311-1-133−3−3001-10000−333−3-1111-1-133−3−3-1-111−3−333i2−i2−i2i2−i2i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000000000000000
χ692-22-22i−2i2i−2i0022-2002i−2i-22-22−22−2−i2i2−i2i22-22-22i−2i2i−2i2i−2i2i−2i00002−2−i2i20000002−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000
χ702-22-22i−2i2i−2i0022-2002i−2i-22-22−22−2−i2i2−i2i22-22-22i−2i2i−2i2i−2i2i−2i00002−2−i2i20000002−22−22−22−2−i2i2−i2i2−i2i2−i2i2000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000
χ712-22-22i−2i2i−2i0022-2002i−2i-22-2−22−22i2−i2i2−i22-22-22i−2i2i−2i2i−2i2i−2i0000−22i2−i2000000−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000000000001+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000
χ722-22-22i−2i2i−2i0022-2002i−2i-22-2−22−22i2−i2i2−i22-22-22i−2i2i−2i2i−2i2i−2i0000−22i2−i2000000−22−22−22−22i2−i2i2−i2i2−i2i2−i2000000000000000000000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000
χ732-22-22i−2i2i−2i002-2200−2i2i-22-22−22−2−i2i2−i2i2-22-222i−2i2i−2i−2i2i−2i2i0000−22i2−i20000002−22−2−22−22−i2i2−i2i2i2−i2i2−i20000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000
χ742-22-22i−2i2i−2i002-2200−2i2i-22-22−22−2−i2i2−i2i2-22-222i−2i2i−2i−2i2i−2i2i0000−22i2−i20000002−22−2−22−22−i2i2−i2i2i2−i2i2−i2000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000
χ752-22-22i−2i2i−2i002-2200−2i2i-22-2−22−22i2−i2i2−i2-22-222i−2i2i−2i−2i2i−2i2i00002−2−i2i2000000−22−222−22−2i2−i2i2−i2−i2i2−i2i20000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i2ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000
χ762-22-22i−2i2i−2i002-2200−2i2i-22-2−22−22i2−i2i2−i2-22-222i−2i2i−2i−2i2i−2i2i00002−2−i2i2000000−22−222−22−2i2−i2i2−i2−i2i2−i2i2000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000
χ772-22-2−2i2i−2i2i0022-200−2i2i-22-22−22−2i2−i2i2−i22-22-2−2i2i−2i2i−2i2i−2i2i00002−2i2−i20000002−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000
χ782-22-2−2i2i−2i2i0022-200−2i2i-22-22−22−2i2−i2i2−i22-22-2−2i2i−2i2i−2i2i−2i2i00002−2i2−i20000002−22−22−22−2i2−i2i2−i2i2−i2i2−i2000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000
χ792-22-2−2i2i−2i2i0022-200−2i2i-22-2−22−22−i2i2−i2i22-22-2−2i2i−2i2i−2i2i−2i2i0000−22−i2i2000000−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000000000001−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000
χ802-22-2−2i2i−2i2i0022-200−2i2i-22-2−22−22−i2i2−i2i22-22-2−2i2i−2i2i−2i2i−2i2i0000−22−i2i2000000−22−22−22−22−i2i2−i2i2−i2i2−i2i2000000000000000000000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000
χ812-22-2−2i2i−2i2i002-22002i−2i-22-22−22−2i2−i2i2−i2-22-22−2i2i−2i2i2i−2i2i−2i0000−22−i2i20000002−22−2−22−22i2−i2i2−i2−i2i2−i2i20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000
χ822-22-2−2i2i−2i2i002-22002i−2i-22-22−22−2i2−i2i2−i2-22-22−2i2i−2i2i2i−2i2i−2i0000−22−i2i20000002−22−2−22−22i2−i2i2−i2−i2i2−i2i2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000
χ832-22-2−2i2i−2i2i002-22002i−2i-22-2−22−22−i2i2−i2i2-22-22−2i2i−2i2i2i−2i2i−2i00002−2i2−i2000000−22−222−22−2−i2i2−i2i2i2−i2i2−i20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000
χ842-22-2−2i2i−2i2i002-22002i−2i-22-2−22−22−i2i2−i2i2-22-22−2i2i−2i2i2i−2i2i−2i00002−2i2−i2000000−22−222−22−2−i2i2−i2i2i2−i2i2−i2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i2ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000
χ8544444444-4-4-244-4-444-2-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2-4-4220000222222000000000000000000000000000000000000000000000000000000000000
χ8644444444-4-4-2-4-4-4-4-4-4-2-2-2000000002222-2-2-2-2222244220000-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-444-244-4-4-4-4-2-2-200000000-2-2-2-222222222-44-2-2000022-2-222000000000000000000000000000000000000000000000000000000000000
χ884444-4-4-4-444-2-4-4-4-444-2-2-20000000022222222-2-2-2-24-4-2-20000-2-22222000000000000000000000000000000000000000000000000000000000000
χ8944-4-444-4-4-44400-44004-4-400000000000044-4-4000000-4400000000-44000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4-44-200-4400-222000000002323−23−23-2-2222323−23−23002-20000−2323−23232-2000000000000000000000000000000000000000000000000000000000000
χ9144-4-444-4-4-44-200-4400-22200000000−23−232323-2-222−23−232323002-2000023−2323−232-2000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-4444-4400-44004-4-4000000000000-4-4440000004-400000000-44000000000000000000000000000000000000000000000000000000000000
χ9344-4-4-4-4444-4-200-4400-222000000002323−23−2322-2-2−23−23232300-220000−232323−232-2000000000000000000000000000000000000000000000000000000000000
χ9444-4-4-4-4444-4-200-4400-22200000000−23−23232322-2-22323−23−2300-22000023−23−23232-2000000000000000000000000000000000000000000000000000000000000
χ954-44-44i−4i4i−4i00-24-4004i−4i2-2222−2222−22−2i22i2−2i22i2-22-22−2i2i−2i2i−2i2i−2i2i000022−22−2i22i2000000−22−22−22−22i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000000000
χ964-44-44i−4i4i−4i00-24-4004i−4i2-22−2222−22222i2−2i22i2−2i2-22-22−2i2i−2i2i−2i2i−2i2i0000−22222i2−2i20000002−22−22−22−2−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000000000
χ974-44-44i−4i4i−4i00-2-4400−4i4i2-2222−2222−22−2i22i2−2i22i22-22-2−2i2i−2i2i2i−2i2i−2i0000−22222i2−2i2000000−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000000000
χ984-44-44i−4i4i−4i00-2-4400−4i4i2-22−2222−22222i2−2i22i2−2i22-22-2−2i2i−2i2i2i−2i2i−2i000022−22−2i22i20000002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000000000
χ994-44-4−4i4i−4i4i00-24-400−4i4i2-2222−2222−222i2−2i22i2−2i2-22-222i−2i2i−2i2i−2i2i−2i000022−222i2−2i2000000−22−22−22−22−i2i2−i2i2−i2i2−i2i200000000000000000000000000000000000000000000
χ1004-44-4−4i4i−4i4i00-24-400−4i4i2-22−2222−2222−2i22i2−2i22i2-22-222i−2i2i−2i2i−2i2i−2i0000−2222−2i22i20000002−22−22−22−2i2−i2i2−i2i2−i2i2−i200000000000000000000000000000000000000000000
χ1014-44-4−4i4i−4i4i00-2-44004i−4i2-2222−2222−222i2−2i22i2−2i22-22-22i−2i2i−2i−2i2i−2i2i0000−2222−2i22i2000000−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000000000000000000000000000000000000000
χ1024-44-4−4i4i−4i4i00-2-44004i−4i2-22−2222−2222−2i22i2−2i22i22-22-22i−2i2i−2i−2i2i−2i2i000022−222i2−2i20000002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000000000000000000000000000000000000000
χ1034-4-444i−4i−4i4i004000000-4-4422−22−2222−2i22i22i2−2i200004i−4i−4i4i00000000000000000022−22−22220000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ1044-4-444i−4i−4i4i004000000-4-44−222222−222i2−2i2−2i22i200004i−4i−4i4i000000000000000000−222222−2200002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ1054-4-444i−4i−4i4i00-200000022-222−22−2222−2i22i22i2−2i223−23−2323−2i2i2i−2i2i3−2i3−2i32i300000000000000−222−26−6−66i2−i2−i2i2−i6i6i6−i600000000000000000000000000000000000000000000
χ1064-4-444i−4i−4i4i00-200000022-222−22−2222−2i22i22i2−2i2−232323−23−2i2i2i−2i−2i32i32i3−2i300000000000000−222−2−666−6i2−i2−i2i2i6−i6−i6i600000000000000000000000000000000000000000000
χ1074-4-444i−4i−4i4i00-200000022-2−222222−222i2−2i2−2i22i223−23−2323−2i2i2i−2i2i3−2i3−2i32i3000000000000002−2−22−666−6−i2i2i2−i2i6−i6−i6i600000000000000000000000000000000000000000000
χ1084-4-444i−4i−4i4i00-200000022-2−222222−222i2−2i2−2i22i2−232323−23−2i2i2i−2i−2i32i32i3−2i3000000000000002−2−226−6−66−i2i2i2−i2−i6i6i6−i600000000000000000000000000000000000000000000
χ1094-4-44−4i4i4i−4i004000000-4-4422−22−22222i2−2i2−2i22i20000−4i4i4i−4i00000000000000000022−22−222200002i2−2i2−2i22i2000000000000000000000000000000000000000000000000
χ1104-4-44−4i4i4i−4i004000000-4-44−222222−22−2i22i22i2−2i20000−4i4i4i−4i000000000000000000−222222−220000−2i22i22i2−2i2000000000000000000000000000000000000000000000000
χ1114-4-44−4i4i4i−4i00-200000022-222−22−22222i2−2i2−2i22i223−23−23232i−2i−2i2i−2i32i32i3−2i300000000000000−222−26−6−66−i2i2i2−i2i6−i6−i6i600000000000000000000000000000000000000000000
χ1124-4-44−4i4i4i−4i00-200000022-222−22−22222i2−2i2−2i22i2−232323−232i−2i−2i2i2i3−2i3−2i32i300000000000000−222−2−666−6−i2i2i2−i2−i6i6i6−i600000000000000000000000000000000000000000000
χ1134-4-44−4i4i4i−4i00-200000022-2−222222−22−2i22i22i2−2i223−23−23232i−2i−2i2i−2i32i32i3−2i3000000000000002−2−22−666−6i2−i2−i2i2−i6i6i6−i600000000000000000000000000000000000000000000
χ1144-4-44−4i4i4i−4i00-200000022-2−222222−22−2i22i22i2−2i2−232323−232i−2i−2i2i2i3−2i3−2i32i3000000000000002−2−226−6−66i2−i2−i2i2i6−i6−i6i600000000000000000000000000000000000000000000

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