Finite Group Databasebeta

← Group #11857802

Character table — Group #11857802

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444449999121212121212121218181818181824242424242424241111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order122233446666668888366612121212121212122424242424242424242424242424242444442244444422888866121212121212222266446666668888666612121212121212122424242424242424242424242424242444442244444422888866121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-111
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1-1-11111-1-1
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-1
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-111
χ91-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1i−ii−i1-11-1ii−i−i1-1i−ii−i1-11-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-1i−ii−i1-11-1ii−i−i1-1i−ii−i1-1
χ101-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11−ii−ii-111-1ii−i−i-11−ii−ii-111-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11−ii−ii-111-1ii−i−i-11−ii−ii-11
χ111-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1i−i−ii-11-11−i−iii1-1i−i−ii-111-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1i−i−ii-11-11−i−iii1-1i−i−ii-11
χ121-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−iii−i1-1-11−i−iii-11−iii−i1-11-1-11111-1-1-11-1-11ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-11−iii−i1-1-11−i−iii-11−iii−i1-1
χ131-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−ii−ii1-11-1−i−iii1-1−ii−ii1-11-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-1−ii−ii1-11-1−i−iii1-1−ii−ii1-1
χ141-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11i−ii−i-111-1−i−iii-11i−ii−i-111-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11i−ii−i-111-1−i−iii-11i−ii−i-11
χ151-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1−iii−i-11-11ii−i−i1-1−iii−i-111-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1−iii−i-11-11ii−i−i1-1−iii−i-11
χ161-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11i−i−ii1-1-11ii−i−i-11i−i−ii1-11-1-11111-1-1-11-1-11−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-11i−i−ii1-1-11ii−i−i-11i−i−ii1-1
χ17222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000222200000000-2-2000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000222200000000-2-2000000000000
χ18222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022000000000000222222-2-222222200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-20000000022000000000000
χ1922222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000000000-1-1-1-1000022222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-1000022220000000000-1-1-1-10000
χ2022222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-200000000001111000022222-1222-1-12-122222-1-1-1-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-2-2-2000000000011110000
χ2122222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-2111111000022-2-20000000000-1-111000022222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-2111111000022-2-20000000000-1-1110000
χ2222222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-21111110000-2-222000000000011-1-1000022222-1222-1-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-1-2-2111111-2-21111110000-2-222000000000011-1-10000
χ232222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000000000-1-1-1-12222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000000022220000000000-1-1-1-1
χ242222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2000000000011112222-1222-122-12-12222-1-1-1-12-1-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-200000000001111
χ252222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-211110000000022-2-20000000000-1-1112222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-211110000000022-2-20000000000-1-111
χ262222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-2111100000000-2-222000000000011-1-12222-1222-122-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-111-2-2111111-2-2111100000000-2-222000000000011-1-1
χ2722-2-222002-2-2-22-22−22−222-2-2000000002−22−222−2−22−22−222−2−22i−2i2i−2i0000000000i2−i2i2−i20000000022-2-222002-2-2-22-22−22−222-2-2000000002−22−222−2−22−22−222−2−22i−2i2i−2i0000000000i2−i2i2−i200000000
χ2822-2-222002-2-2-22-22−22−222-2-2000000002−22−222−2−22−22−222−2−2−2i2i−2i2i0000000000−i2i2−i2i20000000022-2-222002-2-2-22-22−22−222-2-2000000002−22−222−2−22−22−222−2−2−2i2i−2i2i0000000000−i2i2−i2i200000000
χ2922-2-222002-2-2-22-2−22−2222-2-200000000−22−22−2−222−22−22−2−2222i−2i2i−2i0000000000−i2i2−i2i20000000022-2-222002-2-2-22-2−22−2222-2-200000000−22−22−2−222−22−22−2−2222i−2i2i−2i0000000000−i2i2−i2i200000000
χ3022-2-222002-2-2-22-2−22−2222-2-200000000−22−22−2−222−22−22−2−222−2i2i−2i2i0000000000i2−i2i2−i20000000022-2-222002-2-2-22-2−22−2222-2-200000000−22−22−2−222−22−22−2−222−2i2i−2i2i0000000000i2−i2i2−i200000000
χ312-22-22200-22-22-2-2i2−i2−i2i22-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22i−2i−2i2i0000000000−222−2000000002-22-22200-22-22-2-2i2−i2−i2i22-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i22i−2i−2i2i0000000000−222−200000000
χ322-22-22200-22-22-2-2i2−i2−i2i22-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2−2i2i2i−2i00000000002−2−22000000002-22-22200-22-22-2-2i2−i2−i2i22-22-200000000i2−i2i2−i2i2i2−i2−i2−i2i2−i2i2−i2−i2i2i2−2i2i2i−2i00000000002−2−2200000000
χ332-22-22200-22-22-2-2−i2i2i2−i22-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22i−2i−2i2i00000000002−2−22000000002-22-22200-22-22-2-2−i2i2i2−i22-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i22i−2i−2i2i00000000002−2−2200000000
χ342-22-22200-22-22-2-2−i2i2i2−i22-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2−2i2i2i−2i0000000000−222−2000000002-22-22200-22-22-2-2−i2i2i2−i22-22-200000000−i2i2−i2i2−i2−i2i2i2i2−i2i2−i2i2i2−i2−i2−2i2i2i−2i0000000000−222−200000000
χ352-2-2222-22-2-22-2-2200002-2-22-2-2-2-22222000000000000000022-2-200000000-220000000000002-2-2222-22-2-22-2-2200002-2-22-2-2-2-22222000000000000000022-2-200000000-22000000000000
χ362-2-2222-22-2-22-2-2200002-2-22-2-2-2-222220000000000000000-2-222000000002-20000000000002-2-2222-22-2-22-2-2200002-2-22-2-2-2-222220000000000000000-2-222000000002-2000000000000
χ372-2-222-12-2-21-1-2122i2i−2i−2i-111-1-12-1-11-2112i2i−i−i−i−i−i−i−2i−2iiiiiii00002-22i−2i0000000000-11−ii00002-2-222-12-2-21-1-2122i2i−2i−2i-111-1-12-1-11-2112i2i−i−i−i−i−i−i−2i−2iiiiiii00002-22i−2i0000000000-11−ii0000
χ382-2-222-12-2-21-1-2122i2i−2i−2i-111-1-12-1-11-2112i2i−i−i−i−i−i−i−2i−2iiiiiii0000-22−2i2i00000000001-1i−i00002-2-222-12-2-21-1-2122i2i−2i−2i-111-1-12-1-11-2112i2i−i−i−i−i−i−i−2i−2iiiiiii0000-22−2i2i00000000001-1i−i0000
χ392-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-2−2i2i0000000000-11i−i00002-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-2−2i2i0000000000-11i−i0000
χ402-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-222i−2i00000000001-1−ii00002-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-222i−2i00000000001-1−ii0000
χ412-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i−2i2-20000000000−ii-112-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i−2i2-20000000000−ii-11
χ422-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i2i-220000000000i−i1-12-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i2i-220000000000i−i1-1
χ432-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i−2i-220000000000−ii1-12-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i−2i-220000000000−ii1-1
χ442-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i2i2-20000000000i−i-112-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i2i2-20000000000i−i-11
χ4544444-2-4-44-2-24-240000-2-2-2-22-4222-42200000000000000000000000000000000000000000044444-2-4-44-2-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000000000
χ464444-24-4-4-244-24-20000-2-2-2-2-4222-42220000000000000000000000000000000000000000004444-24-4-4-244-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-21111-2-2-2-21111000000000000000000000000004444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-2112222-1-1-1-12222-1-1-1-1000000000000000000000000004444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-100003i−3i3i−3i00003i−3i3i−3i000000000000000000000000004444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-10000−3i3i−3i3i0000−3i3i−3i3i000000000000000000000000004444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000
χ5144-4-44-200422-4-2-422−2222−22-2-2220000000022−22−22−2−22222−22−22−2−2220000000000000000000000000044-4-44-200422-4-2-422−2222−22-2-2220000000022−22−22−2−22222−22−22−2−22200000000000000000000000000
χ5244-4-44-200422-4-2-4−2222−2222-2-22200000000−22222−222−2−2−22222−222−2−20000000000000000000000000044-4-44-200422-4-2-4−2222−2222-2-22200000000−22222−222−2−2−22222−222−2−200000000000000000000000000
χ5344-4-4-2400-2-4-424222−2222−22-2-22200000000−2222−22−2−222−2222−22−2−2220000000000000000000000000044-4-4-2400-2-4-424222−2222−22-2-22200000000−2222−22−2−222−2222−22−2−22200000000000000000000000000
χ5444-4-4-2400-2-4-4242−2222−2222-2-222000000002−2−222222−2−22−2−222222−2−20000000000000000000000000044-4-4-2400-2-4-4242−2222−2222-2-222000000002−2−222222−2−22−2−222222−2−200000000000000000000000000
χ5544-4-4-2-200-2222-2222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ30000000000000000000000000044-4-4-2-200-2222-2222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
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χ1112-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i00002-2−2i2i0000000000-11i−i0000-222-2-21-222-112-1-22i2i−2i−2i1-1-111-211-12-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii0000-222i−2i00000000001-1−ii0000
χ1122-2-222-12-2-21-1-212−2i−2i2i2i-111-1-12-1-11-211−2i−2iiiiiii2i2i−i−i−i−i−i−i0000-222i−2i00000000001-1−ii0000-222-2-21-222-112-1-22i2i−2i−2i1-1-111-211-12-1-12i2i−i−i−i−i−i−i−2i−2iiiiiii00002-2−2i2i0000000000-11i−i0000
χ1132-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i−2i2-20000000000−ii-11-222-21-2-22-12-2-121−2i−2i2i2i1-1-11-21112-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i2i-220000000000i−i1-1
χ1142-2-22-122-21-221-2-12i2i−2i−2i-111-12-1-1-1-2111−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i2i-220000000000i−i1-1-222-21-2-22-12-2-121−2i−2i2i2i1-1-11-21112-1-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i−2i2-20000000000−ii-11
χ1152-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i000000002i−2i-220000000000−ii1-1-222-21-2-22-12-2-1212i2i−2i−2i1-1-11-21112-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00000000−2i2i2-20000000000i−i-11
χ1162-2-22-122-21-221-2-1−2i−2i2i2i-111-12-1-1-1-2111ii−2i−2iiiii−i−i2i2i−i−i−i−i00000000−2i2i2-20000000000i−i-11-222-21-2-22-12-2-1212i2i−2i−2i1-1-11-21112-1-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii000000002i−2i-220000000000−ii1-1
χ11744444-2-4-44-2-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000000000-4-4-4-4-4244-422-42-400002222-24-2-2-24-2-2000000000000000000000000000000000000000000
χ1184444-24-4-4-244-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000-4-4-4-42-4442-4-42-42000022224-2-2-24-2-2-2000000000000000000000000000000000000000000
χ1194444-2-244-2-2-2-2-2-244441111-2-211-2-211-2-2-2-21111-2-2-2-2111100000000000000000000000000-4-4-4-422-4-4222222-4-4-4-4-1-1-1-122-1-122-1-12222-1-1-1-12222-1-1-1-100000000000000000000000000
χ1204444-2-244-2-2-2-2-2-2-4-4-4-41111-2-211-2-2112222-1-1-1-12222-1-1-1-100000000000000000000000000-4-4-4-422-4-42222224444-1-1-1-122-1-122-1-1-2-2-2-21111-2-2-2-2111100000000000000000000000000
χ1214444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000-4-4-4-422442222220000-1-1-1-1-2-211-2-2110000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000
χ1224444-2-2-4-4-2-2-2-2-2-20000111122-1-122-1-10000−3i3i−3i3i0000−3i3i−3i3i00000000000000000000000000-4-4-4-422442222220000-1-1-1-1-2-211-2-21100003i−3i3i−3i00003i−3i3i−3i00000000000000000000000000
χ12344-4-44-200422-4-2-422−2222−22-2-2220000000022−22−22−2−22222−22−22−2−22200000000000000000000000000-4-444-4200-4-2-2424−2222−222222-2-200000000−22222−222−2−2−22222−222−2−200000000000000000000000000
χ12444-4-44-200422-4-2-4−2222−2222-2-22200000000−22222−222−2−2−22222−222−2−200000000000000000000000000-4-444-4200-4-2-242422−2222−2222-2-20000000022−22−22−2−22222−22−22−2−22200000000000000000000000000
χ12544-4-4-2400-2-4-424222−2222−22-2-22200000000−2222−22−2−222−2222−22−2−22200000000000000000000000000-4-4442-400244-2-4-2−2222−222222-2-2000000002−2−222222−2−22−2−222222−2−200000000000000000000000000
χ12644-4-4-2400-2-4-4242−2222−2222-2-222000000002−2−222222−2−22−2−222222−2−200000000000000000000000000-4-4442-400244-2-4-222−2222−2222-2-200000000−2222−22−2−222−2222−22−2−22200000000000000000000000000
χ12744-4-4-2-200-2222-2222−2222−2211-1-1003i−3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000-4-44422002-2-2-22-2−2222−2222-1-11100−3i3i00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000
χ12844-4-4-2-200-2222-2222−2222−2211-1-100−3i3i00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000-4-44422002-2-2-22-2−2222−2222-1-111003i−3i003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000
χ12944-4-4-2-200-2222-22−2222−222211-1-1003i−3i003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000-4-44422002-2-2-22-222−2222−22-1-11100−3i3i00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ13044-4-4-2-200-2222-22−2222−222211-1-100−3i3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000-4-44422002-2-2-22-222−2222−22-1-111003i−3i003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1314-44-44-200-4-2242-42i2−2i2−2i22i2-22-22000000002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000-44-44-420042-2-4-24−2i22i22i2−2i22-22-200000000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000
χ1324-44-44-200-4-2242-4−2i22i22i2−2i2-22-2200000000−2i22i2i2−i2i2i2−i2−i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000-44-44-420042-2-4-242i2−2i2−2i22i22-22-2000000002i2−2i2−i2i2−i2−i2i2i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000
χ1334-44-4-240024-4-2-422i2−2i2−2i22i2-22-2200000000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000-44-442-400-2-4424-2−2i22i22i2−2i22-22-200000000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000
χ1344-44-4-240024-4-2-42−2i22i22i2−2i2-22-2200000000i2−i2−2i22i2i2i2−i2−i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000-44-442-400-2-4424-22i2−2i2−2i22i22-22-200000000−i2i22i2−2i2−i2−i2i2i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000
χ1354-44-4-2-2002-22-2222i2−2i2−2i22i21-11-1003i−3i00−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000-44-442200-22-22-2-2−2i22i22i2−2i2-11-1100−3i3i003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ1364-44-4-2-2002-22-2222i2−2i2−2i22i21-11-100−3i3i003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000-44-442200-22-22-2-2−2i22i22i2−2i2-11-11003i−3i00−3i3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ1374-44-4-2-2002-22-222−2i22i22i2−2i21-11-1003i−3i00−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000-44-442200-22-22-2-22i2−2i2−2i22i2-11-1100−3i3i003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000
χ1384-44-4-2-2002-22-222−2i22i22i2−2i21-11-100−3i3i003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000-44-442200-22-22-2-22i2−2i2−2i22i2-11-11003i−3i00−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000
χ1394-4-444-2-44-42-2-4240000-222-22-422-24-2-2000000000000000000000000000000000000000000-444-4-424-44-224-2-400002-2-22-24-2-22-422000000000000000000000000000000000000000000
χ1404-4-44-24-442-442-4-20000-222-2-42224-2-2-2000000000000000000000000000000000000000000-444-42-44-4-24-4-24200002-2-224-2-2-2-4222000000000000000000000000000000000000000000
χ1414-4-44-2-24-422-222-24i4i−4i−4i1-1-11-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000-444-422-44-2-22-2-22−4i−4i4i4i-111-122-1-1-2-2112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000
χ1424-4-44-2-24-422-222-2−4i−4i4i4i1-1-11-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000-444-422-44-2-22-2-224i4i−4i−4i-111-122-1-1-2-211−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000
χ1434-4-44-2-2-4422-222-200001-1-1122-1-1-2-21100003-33-30000-33-3300000000000000000000000000-444-4224-4-2-22-2-220000-111-1-2-21122-1-10000-33-3300003-33-300000000000000000000000000
χ1444-4-44-2-2-4422-222-200001-1-1122-1-1-2-2110000-33-3300003-33-300000000000000000000000000-444-4224-4-2-22-2-220000-111-1-2-21122-1-100003-33-30000-33-3300000000000000000000000000

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