Finite Group Databasebeta

← Group #11857731

Character table — Group #11857731

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11112222222222222244444444444444444444444444449999121212121212121218181818181824242424242424241111222222222222224444444444444444444444444444999912121212121212121818181818182424242424242424
order12223344666666888836661212121212121212242424242424242424242424242424242222222244444488886666121212122222664466666688886666121212121212121224242424242424242424242424242424222222224444448888666612121212
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
χ31111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111-1-111
χ511111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ711111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-111
χ811111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ91-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−ii−i1-1ii−i−i1-11-1i−ii−i1-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-11-11-1i−ii−i1-1ii−i−i1-11-1i−ii−i
χ101-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11−ii−ii1-1ii−i−i-11-11−ii−ii1-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1-11-11−ii−ii1-1ii−i−i-11-11−ii−ii
χ111-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii-11−i−iii1-1-11i−i−ii1-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1111-1-11i−i−ii-11−i−iii1-1-11i−i−ii
χ121-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-11−i−iii-111-1−iii−i1-11-1111-1-1-111-1-1ii−i−i1-1-111111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-111-1−iii−i-11−i−iii-111-1−iii−i
χ131-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii−ii1-1−i−iii1-11-1−ii−ii1-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-11-11-1−ii−ii1-1−i−iii1-11-1−ii−ii
χ141-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11i−ii−i1-1−i−iii-11-11i−ii−i1-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1-11-11i−ii−i1-1−i−iii-11-11i−ii−i
χ151-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i-11ii−i−i1-1-11−iii−i1-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1111-1-11−iii−i-11ii−i−i1-1-11−iii−i
χ161-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-11ii−i−i-111-1i−i−ii1-11-1111-1-1-111-1-1−i−iii1-1-111111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-111-1i−i−ii-11ii−i−i-111-1i−i−ii
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
χ1922222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022002200000000-1-100-1-122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100000022002200000000-1-100-1-1
χ2022222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-20000000011001122222-1222-12-12-12222-1-1-1-12-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000-2-200-2-200000000110011
χ2122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000002200-2-200000000-1-1001122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-21111110000002200-2-200000000-1-10011
χ2222222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000-2-20022000000001100-1-122222-1222-12-12-1-2-2-2-2-1-1-1-12-1-1-12-1-1-1-2-2111111-2-2111111000000-2-20022000000001100-1-1
χ232222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200000000-1-100-1-1002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1000022002200000000-1-100-1-100
χ242222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-200000000110011002222-1222-12-12-122222-1-1-1-1-12-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-10000-2-200-2-20000000011001100
χ252222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111100002200-2-200000000-1-10011002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-2111100002200-2-200000000-1-1001100
χ262222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-211110000-2-20022000000001100-1-1002222-1222-12-12-12-2-2-2-2-1-1-1-1-12-1-1-12-1-111-2-2111111-2-211110000-2-20022000000001100-1-100
χ2722-2-2220022-2-2-2-2i2−i2i2−i222-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-22-20000000000i2−i2i2−i20000000022-2-2220022-2-2-2-2i2−i2i2−i222-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i22-22-20000000000i2−i2i2−i200000000
χ2822-2-2220022-2-2-2-2i2−i2i2−i222-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-22-220000000000−i2i2−i2i20000000022-2-2220022-2-2-2-2i2−i2i2−i222-2-200000000i2−i2i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2−i2-22-220000000000−i2i2−i2i200000000
χ2922-2-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-22-20000000000−i2i2−i2i20000000022-2-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i22-22-20000000000−i2i2−i2i200000000
χ3022-2-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-22-220000000000i2−i2i2−i20000000022-2-2220022-2-2-2-2−i2i2−i2i222-2-200000000−i2i2−i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2i2-22-220000000000i2−i2i2−i200000000
χ312-22-222-22-2-222-2-200002-2-22-2-2-2-22222000000000000000022-2-200000000-220000000000002-22-222-22-2-222-2-200002-2-22-2-2-2-22222000000000000000022-2-200000000-22000000000000
χ322-22-222-22-2-222-2-200002-2-22-2-2-2-222220000000000000000-2-222000000002-20000000000002-22-222-22-2-222-2-200002-2-22-2-2-2-222220000000000000000-2-222000000002-2000000000000
χ332-22-22-12-2-212-1-212i2i−2i−2i-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii0000002-2002i−2i00000000-1100−ii2-22-22-12-2-212-1-212i2i−2i−2i-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii0000002-2002i−2i00000000-1100−ii
χ342-22-22-12-2-212-1-212i2i−2i−2i-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii000000-2200−2i2i000000001-100i−i2-22-22-12-2-212-1-212i2i−2i−2i-111-12-1-1-1-21112i2i−i−i−i−i−i−i−2i−2iiiiiii000000-2200−2i2i000000001-100i−i
χ352-22-22-12-2-212-1-21−2i−2i2i2i-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000002-200−2i2i00000000-1100i−i2-22-22-12-2-212-1-21−2i−2i2i2i-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i0000002-200−2i2i00000000-1100i−i
χ362-22-22-12-2-212-1-21−2i−2i2i2i-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000-22002i−2i000000001-100−ii2-22-22-12-2-212-1-21−2i−2i2i2i-111-12-1-1-1-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i000000-22002i−2i000000001-100−ii
χ372-22-2-122-21-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii00002-2002i−2i00000000-1100−ii002-22-2-122-21-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii00002-2002i−2i00000000-1100−ii00
χ382-22-2-122-21-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2200−2i2i000000001-100i−i002-22-2-122-21-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2200−2i2i000000001-100i−i00
χ392-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-200−2i2i00000000-1100i−i002-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-200−2i2i00000000-1100i−i00
χ402-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-22002i−2i000000001-100−ii002-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-22002i−2i000000001-100−ii00
χ412-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−2222-2-2200000000002−2−22000000002-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−2222-2-2200000000002−2−2200000000
χ422-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−222-222-20000000000−222−2000000002-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−222-222-20000000000−222−200000000
χ432-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−22-2-220000000000−222−2000000002-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−22-2-220000000000−222−200000000
χ442-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−2-222-200000000002−2−22000000002-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−2-222-200000000002−2−2200000000
χ4544444-2-4-44-24-24-20000-2-2-2-2-4222-422200000000000000000000000000000000000000000044444-2-4-44-24-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000
χ464444-24-4-4-24-24-240000-2-2-2-22-4222-4220000000000000000000000000000000000000000004444-24-4-4-24-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000000000
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
χ5144-4-44-2004-2-42-422i2−2i22i2−2i2-2-222000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i20000000000000000000000000044-4-44-2004-2-42-422i2−2i22i2−2i2-2-222000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000
χ5244-4-44-2004-2-42-42−2i22i2−2i22i2-2-22200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i20000000000000000000000000044-4-44-2004-2-42-42−2i22i2−2i22i2-2-22200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000
χ5344-4-4-2400-242-42-42i2−2i22i2−2i2-2-22200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i20000000000000000000000000044-4-4-2400-242-42-42i2−2i22i2−2i2-2-22200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000
χ5444-4-4-2400-242-42-4−2i22i2−2i22i2-2-22200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i20000000000000000000000000044-4-4-2400-242-42-4−2i22i2−2i22i2-2-22200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000
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χ1102-22-2-122-21-2-121-22i2i−2i−2i-111-1-12-1-11-211−i−i2i2i−i−i−i−iii−2i−2iiiii0000-2200−2i2i000000001-100i−i00-22-221-2-22-121-2-12−2i−2i2i2i1-1-111-211-12-1-1ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-2002i−2i00000000-1100−ii00
χ1112-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i00002-200−2i2i00000000-1100i−i00-22-221-2-22-121-2-122i2i−2i−2i1-1-111-211-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii0000-22002i−2i000000001-100−ii00
χ1122-22-2-122-21-2-121-2−2i−2i2i2i-111-1-12-1-11-211ii−2i−2iiiii−i−i2i2i−i−i−i−i0000-22002i−2i000000001-100−ii00-22-221-2-22-121-2-122i2i−2i−2i1-1-111-211-12-1-1−i−i2i2i−i−i−i−iii−2i−2iiiii00002-200−2i2i00000000-1100i−i00
χ1132-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−2222-2-2200000000002−2−2200000000-222-2-2-2002222-2-2−222−2-22-2200000000−22−22−2−2222−22−222−2−2-222-20000000000−222−200000000
χ1142-2-222200-2-2-2-2222−2−222-22-2000000002−22−222−2−2−22−22−2−222-222-20000000000−222−200000000-222-2-2-2002222-2-2−222−2-22-2200000000−22−22−2−2222−22−222−2−22-2-2200000000002−2−2200000000
χ1152-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−22-2-220000000000−222−200000000-222-2-2-2002222-2-22−2−22-22-22000000002−22−222−2−2−22−22−2−222-222-200000000002−2−2200000000
χ1162-2-222200-2-2-2-222−222−22-22-200000000−22−22−2−2222−22−222−2−2-222-200000000002−2−2200000000-222-2-2-2002222-2-22−2−22-22-22000000002−22−222−2−2−22−22−2−2222-2-220000000000−222−200000000
χ11744444-2-4-44-24-24-20000-2-2-2-2-4222-4222000000000000000000000000000000000000000000-4-4-4-4-4244-42-42-42000022224-2-2-24-2-2-2000000000000000000000000000000000000000000
χ1184444-24-4-4-24-24-240000-2-2-2-22-4222-422000000000000000000000000000000000000000000-4-4-4-42-4442-42-42-400002222-24-2-2-24-2-2000000000000000000000000000000000000000000
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
χ12344-4-44-2004-2-42-422i2−2i22i2−2i2-2-222000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000-4-444-4200-424-24-2−2i22i2−2i22i222-2-200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000
χ12444-4-44-2004-2-42-42−2i22i2−2i22i2-2-22200000000−2i22i2i2−i2i2i2−i2−i2−2i22i2i2−i2i2i2−i2−i200000000000000000000000000-4-444-4200-424-24-22i2−2i22i2−2i222-2-2000000002i2−2i2−i2i2−i2−i2i2i22i2−2i2−i2i2−i2−i2i2i200000000000000000000000000
χ12544-4-4-2400-242-42-42i2−2i22i2−2i2-2-22200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000-4-4442-4002-4-24-24−2i22i2−2i22i222-2-200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000
χ12644-4-4-2400-242-42-4−2i22i2−2i22i2-2-22200000000i2−i2−2i22i2i2i2−i2−i2i2−i2−2i22i2i2i2−i2−i200000000000000000000000000-4-4442-4002-4-24-242i2−2i22i2−2i222-2-200000000−i2i22i2−2i2−i2−i2i2i2−i2i22i2−2i2−i2−i2i2i200000000000000000000000000
χ12744-4-4-2-200-2-222222i2−2i22i2−2i211-1-1003i−3i003i−3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000-4-444220022-2-2-2-2−2i22i2−2i22i2-1-11100−3i3i00−3i3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000
χ12844-4-4-2-200-2-222222i2−2i22i2−2i211-1-100−3i3i00−3i3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000-4-444220022-2-2-2-2−2i22i2−2i22i2-1-111003i−3i003i−3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000
χ12944-4-4-2-200-2-22222−2i22i2−2i22i211-1-1003i−3i003i−3ii2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ3i2−i2i2−i2−2ζ+ζ3ζ−2ζ32ζ−ζ3−ζ+2ζ300000000000000000000000000-4-444220022-2-2-2-22i2−2i22i2−2i2-1-11100−3i3i00−3i3i−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ3−i2i2−i2i22ζ−ζ3−ζ+2ζ3−2ζ+ζ3ζ−2ζ300000000000000000000000000
χ13044-4-4-2-200-2-22222−2i22i2−2i22i211-1-100−3i3i00−3i3ii2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ3i2−i2i2−i2ζ−2ζ3−2ζ+ζ3−ζ+2ζ32ζ−ζ300000000000000000000000000-4-444220022-2-2-2-22i2−2i22i2−2i2-1-111003i−3i003i−3i−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ3−i2i2−i2i2−ζ+2ζ32ζ−ζ3ζ−2ζ3−2ζ+ζ300000000000000000000000000
χ1314-44-44-2-44-424-2-420000-222-2-42224-2-2-2000000000000000000000000000000000000000000-44-44-424-44-2-424-200002-2-224-2-2-2-4222000000000000000000000000000000000000000000
χ1324-44-4-24-442-4-242-40000-222-22-422-24-2-2000000000000000000000000000000000000000000-44-442-44-4-242-4-2400002-2-22-24-2-22-422000000000000000000000000000000000000000000
χ1334-44-4-2-24-422-2-2224i4i−4i−4i1-1-11-2-21122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000-44-4422-44-2-222-2-2−4i−4i4i4i-111-122-1-1-2-2112i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000
χ1344-44-4-2-24-422-2-222−4i−4i4i4i1-1-11-2-21122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000-44-4422-44-2-222-2-24i4i−4i−4i-111-122-1-1-2-211−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000
χ1354-44-4-2-2-4422-2-22200001-1-1122-1-1-2-21100003-33-30000-33-3300000000000000000000000000-44-44224-4-2-222-2-20000-111-1-2-21122-1-10000-33-3300003-33-300000000000000000000000000
χ1364-44-4-2-2-4422-2-22200001-1-1122-1-1-2-2110000-33-3300003-33-300000000000000000000000000-44-44224-4-2-222-2-20000-111-1-2-21122-1-100003-33-30000-33-3300000000000000000000000000
χ1374-4-444-200-42-424-222−22−2222-22-220000000022−22−22−2−222−22222−222−2−200000000000000000000000000-444-4-42004-24-2-42−222222−222-22-200000000−22222−222−2−222−22−22−2−22200000000000000000000000000
χ1384-4-444-200-42-424-2−222222−22-22-2200000000−22222−222−2−222−22−22−2−22200000000000000000000000000-444-4-42004-24-2-4222−22−22222-22-20000000022−22−22−2−222−22222−222−2−200000000000000000000000000
χ1394-4-44-24002-42-4-2422−22−2222-22-2200000000−2222−22−2−2222−2−222222−2−200000000000000000000000000-444-42-400-24-242-4−222222−222-22-2000000002−2−222222−2−2−2222−22−2−22200000000000000000000000000
χ1404-4-44-24002-42-4-24−222222−22-22-22000000002−2−222222−2−2−2222−22−2−22200000000000000000000000000-444-42-400-24-242-422−22−22222-22-200000000−2222−22−2−2222−2−222222−2−200000000000000000000000000
χ1414-4-44-2-2002222-2-222−22−22221-11-1003i−3i00−3i3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000-444-42200-2-2-2-222−222222−22-11-1100−3i3i003i−3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000
χ1424-4-44-2-2002222-2-222−22−22221-11-100−3i3i003i−3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000-444-42200-2-2-2-222−222222−22-11-11003i−3i00−3i3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000
χ1434-4-44-2-2002222-2-2−222222−221-11-1003i−3i00−3i3i2−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ3−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ300000000000000000000000000-444-42200-2-2-2-22222−22−2222-11-1100−3i3i003i−3i−22−22−ζ−2ζ32ζ+ζ3ζ+2ζ3−2ζ−ζ32−22−2ζ+2ζ3−2ζ−ζ3−ζ−2ζ32ζ+ζ300000000000000000000000000
χ1444-4-44-2-2002222-2-2−222222−221-11-100−3i3i003i−3i2−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ3−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ300000000000000000000000000-444-42200-2-2-2-22222−22−2222-11-11003i−3i00−3i3i−22−222ζ+ζ3−ζ−2ζ3−2ζ−ζ3ζ+2ζ32−22−2−2ζ−ζ3ζ+2ζ32ζ+ζ3−ζ−2ζ300000000000000000000000000

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