Finite Group Databasebeta

← Group #11774556

Character table — Group #11774556

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order122244443344446666661212121212121212366612121212121212121212121288121212122424242424242424242424242424242422224444888888882424242424242424242424242424242422446666121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ91111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-11111-1-1-1-11-1i−i
χ101111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-111-11−ii
χ111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1-11−ii
χ121111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-1-1-111111-1i−i
χ131111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-11111-1-1-1-11-1−ii
χ141111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-111-11i−i
χ151111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1-11i−i
χ161111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1−ii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-1-1-111111-1−ii
χ172222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000222200000000-2-200
χ182222222222-2-2-2-2222222222222222222-2-2-2-22222-2-2-2-200-2-2-2-2000000000000000000000000000000000000000000000000-2-2-2-2000000002200
χ19222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1002200220000222200000000-1-1-1-1-1-1-1-1000000-1-100-1-10000
χ20222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-20000-2-2-2-200000000111111110000001100110000
χ21222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-1-2-211-2-21111111111002200220000-2-2-2-20000000011111111000000-1-100-1-10000
χ22222222222-1222222-1-12-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-1-1-1-1-2-211-2-2111111111100-2-200-2-20000222200000000-1-1-1-1-1-1-1-10000001100110000
χ2322222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-12200220022220000-1-1-1-1-1-1-1-1000000000000-1-100-1-1000000
χ2422222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-200-2-200-2-2-2-2000011111111000000000000110011000000
χ2522222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-111-2-211-2-21111111122002200-2-2-2-2000011111111000000000000-1-100-1-1000000
χ2622222222-122222-1-122-12-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-1-1-1-111-2-211-2-211111111-2-200-2-20022220000-1-1-1-1-1-1-1-1000000000000110011000000
χ272222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-22200000000000000000000000000000000000000000000000022-2-200000000-2200
χ282222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222200-2-222000000000000000000000000000000000000000000000000-2-222000000002-200
χ292222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-122-1-11111-2-2112i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii002200-2-200002i2i−2i−2i00000000−i−i−i−iiiii000000-1-100110000
χ302222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-122-1-11111-2-2112i−2i-1-1112i2i−i−i−2i−2iii−i−i−i−iiiii00-2-200220000−2i−2i2i2i00000000iiii−i−i−i−i0000001100-1-10000
χ312222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-122-1-11111-2-211−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i002200-2-20000−2i−2i2i2i00000000iiii−i−i−i−i000000-1-100110000
χ322222-2-2-2-22-122-2-222-1-12-1-2-211-2-211-1-1-1-122-1-11111-2-211−2i2i-1-111−2i−2iii2i2i−i−iiiii−i−i−i−i00-2-2002200002i2i−2i−2i00000000−i−i−i−iiiii0000001100-1-10000
χ332222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1-1-122111111-2-22i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii2200-2-2002i2i−2i−2i0000−i−i−i−iiiii000000000000-1-10011000000
χ342222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1-1-122111111-2-22i−2i-1-111−i−i2i2iii−2i−2i−i−i−i−iiiii-2-2002200−2i−2i2i2i0000iiii−i−i−i−i0000000000001100-1-1000000
χ352222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1-1-122111111-2-2−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i2200-2-200−2i−2i2i2i0000iiii−i−i−i−i000000000000-1-10011000000
χ362222-2-2-2-2-1222-2-2-1-122-1211-2-211-2-2-1-1-1-1-1-122111111-2-2−2i2i-1-111ii−2i−2i−i−i2i2iiiii−i−i−i−i-2-20022002i2i−2i−2i0000−i−i−i−iiiii0000000000001100-1-1000000
χ3722-2-22i−2i2i−2i222-22i−2i2-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i0000000000000000002-2002i−2i0000000000000000000000000000002-2002i−2i0000
χ3822-2-22i−2i2i−2i222-22i−2i2-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-22-22-22i−2i2i−2i2i−2i2i−2i002-22i−2i000000000000000000-2200−2i2i000000000000000000000000000000-2200−2i2i0000
χ3922-2-22i−2i2i−2i22-22−2i2i2-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i−2i2i−2i−2i2i−2i2i00-22−2i2i00000000000000002-2002i−2i0000000000000000000000000000002-2002i−2i000000
χ4022-2-22i−2i2i−2i22-22−2i2i2-22-2-2-22i−2i2i−2i2i−2i2i−2i22-2-2-22-222i−2i2i−2i−2i2i−2i2i00-22−2i2i0000000000000000-2200−2i2i000000000000000000000000000000-2200−2i2i000000
χ4122-2-22i−2i2i−2i2-12-22i−2i2-2-11-212i−2i−ii2i−2i−ii-1-1112-2-11−ii−ii2i−2i−ii00-11−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13002-2002i−2i0000000000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000-1100−ii0000
χ4222-2-22i−2i2i−2i2-12-22i−2i2-2-11-212i−2i−ii2i−2i−ii-1-1112-2-11−ii−ii2i−2i−ii00-11−ii00−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ1300-2200−2i2i0000000000000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000001-100i−i0000
χ4322-2-22i−2i2i−2i2-12-22i−2i2-2-11-212i−2i−ii2i−2i−ii-1-1112-2-11−ii−ii2i−2i−ii00-11−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13002-2002i−2i0000000000000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000-1100−ii0000
χ4422-2-22i−2i2i−2i2-12-22i−2i2-2-11-212i−2i−ii2i−2i−ii-1-1112-2-11−ii−ii2i−2i−ii00-11−ii00ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ1300-2200−2i2i0000000000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000001-100i−i0000
χ4522-2-22i−2i2i−2i-12-22−2i2i-112-21-2−ii2i−2i−ii2i−2i-1-1111-1-22−ii−iii−i−2i2i001-1i−i−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ132-2002i−2i0000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000-1100−ii000000
χ4622-2-22i−2i2i−2i-12-22−2i2i-112-21-2−ii2i−2i−ii2i−2i-1-1111-1-22−ii−iii−i−2i2i001-1i−i−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13-2200−2i2i0000000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ130000000000001-100i−i000000
χ4722-2-22i−2i2i−2i-12-22−2i2i-112-21-2−ii2i−2i−ii2i−2i-1-1111-1-22−ii−iii−i−2i2i001-1i−iζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ132-2002i−2i0000000000ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000-1100−ii000000
χ4822-2-22i−2i2i−2i-12-22−2i2i-112-21-2−ii2i−2i−ii2i−2i-1-1111-1-22−ii−iii−i−2i2i001-1i−iζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13-2200−2i2i0000000000−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ130000000000001-100i−i000000
χ4922-2-2−2i2i−2i2i222-2−2i2i2-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i0000000000000000002-200−2i2i0000000000000000000000000000002-200−2i2i0000
χ5022-2-2−2i2i−2i2i222-2−2i2i2-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-22-22-2−2i2i−2i2i−2i2i−2i2i002-2−2i2i000000000000000000-22002i−2i000000000000000000000000000000-22002i−2i0000
χ5122-2-2−2i2i−2i2i22-222i−2i2-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i2i−2i2i2i−2i2i−2i00-222i−2i00000000000000002-200−2i2i0000000000000000000000000000002-200−2i2i000000
χ5222-2-2−2i2i−2i2i22-222i−2i2-22-2-2-2−2i2i−2i2i−2i2i−2i2i22-2-2-22-22−2i2i−2i2i2i−2i2i−2i00-222i−2i0000000000000000-22002i−2i000000000000000000000000000000-22002i−2i000000
χ5322-2-2−2i2i−2i2i2-12-2−2i2i2-2-11-21−2i2ii−i−2i2ii−i-1-1112-2-11i−ii−i−2i2ii−i00-11i−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23002-200−2i2i0000000000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000-1100i−i0000
χ5422-2-2−2i2i−2i2i2-12-2−2i2i2-2-11-21−2i2ii−i−2i2ii−i-1-1112-2-11i−ii−i−2i2ii−i00-11i−i00ζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ2300-22002i−2i0000000000000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000001-100−ii0000
χ5522-2-2−2i2i−2i2i2-12-2−2i2i2-2-11-21−2i2ii−i−2i2ii−i-1-1112-2-11i−ii−i−2i2ii−i00-11i−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23002-200−2i2i0000000000000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000-1100i−i0000
χ5622-2-2−2i2i−2i2i2-12-2−2i2i2-2-11-21−2i2ii−i−2i2ii−i-1-1112-2-11i−ii−i−2i2ii−i00-11i−i00−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ2300-22002i−2i0000000000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000001-100−ii0000
χ5722-2-2−2i2i−2i2i-12-222i−2i-112-21-2i−i−2i2ii−i−2i2i-1-1111-1-22i−ii−i−ii2i−2i001-1−iiζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ232-200−2i2i0000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000-1100i−i000000
χ5822-2-2−2i2i−2i2i-12-222i−2i-112-21-2i−i−2i2ii−i−2i2i-1-1111-1-22i−ii−i−ii2i−2i001-1−iiζ5−ζ13−ζ5+ζ1300−ζ7+ζ23ζ7−ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23-22002i−2i0000000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ230000000000001-100−ii000000
χ5922-2-2−2i2i−2i2i-12-222i−2i-112-21-2i−i−2i2ii−i−2i2i-1-1111-1-22i−ii−i−ii2i−2i001-1−ii−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ232-200−2i2i0000000000−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000-1100i−i000000
χ6022-2-2−2i2i−2i2i-12-222i−2i-112-21-2i−i−2i2ii−i−2i2i-1-1111-1-22i−ii−i−ii2i−2i001-1−ii−ζ5+ζ13ζ5−ζ1300ζ7−ζ23−ζ7+ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23-22002i−2i0000000000ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ230000000000001-100−ii000000
χ612-2-2222-2-2220000-2-2-2-2222222-2-2-2-22-22-2000022-2-20000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-2000000000000
χ622-2-2222-2-2220000-2-2-2-2222222-2-2-2-22-22-2000022-2-20000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2-22-22000000000000
χ632-2-2222-2-2220000-2-2-2-2222222-2-2-2-22-22-2000022-2-20000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-22000000000000
χ642-2-2222-2-2220000-2-2-2-2222222-2-2-2-22-22-2000022-2-20000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-2000000000000
χ652-2-22-2-222220000-2-2-2-222-2-2-2-222222-22-20000-2-22200000000000000000000000000000000002−2−222−2−222−22−2−22−222−22−2−22−222-2-22000000000000
χ662-2-22-2-222220000-2-2-2-222-2-2-2-222222-22-20000-2-22200000000000000000000000000000000002−2−22−222−22−22−2−22−22−22−222−22−2-222-2000000000000
χ672-2-22-2-222220000-2-2-2-222-2-2-2-222222-22-20000-2-2220000000000000000000000000000000000−222−22−2−22−22−222−22−22−22−2−22−22-222-2000000000000
χ682-2-22-2-222220000-2-2-2-222-2-2-2-222222-22-20000-2-2220000000000000000000000000000000000−222−2−222−2−22−222−22−2−22−222−22−22-2-22000000000000
χ69444444444-2-4-4-4-444-2-24-244-2-244-2-2-2-2-2-2-4-422-2-2-2-2-4-4220022220000000000000000000000000000000000000000000000000000000000000000
χ7044444444-24-4-4-4-4-2-244-24-2-244-2-244-2-2-2-222-4-4-2-2-2-222-4-40022220000000000000000000000000000000000000000000000000000000000000000
χ7144444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2441111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000000000
χ7244444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-2-21111-2-2-2-2-4-4111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000
χ7344444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122221111222200-1-1-1-1000000003-3-333-3-33000000000000000000000000000000000000000000000000
χ7444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111122221111222200-1-1-1-100000000-333-3-333-3000000000000000000000000000000000000000000000000
χ754444-4-4-4-44-2-4-44444-2-24-2-4-422-4-422-2-2-2-2-4-422222244-2-20022-2-20000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-4-24-4-444-2-244-2422-4-422-4-4-2-2-2-222-4-42222-2-2440022-2-20000000000000000000000000000000000000000000000000000000000000000
χ774444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221111-2-2-2-2-1-1-1-122224i−4i11-1-1−2i−2i−2i−2i2i2i2i2iiiii−i−i−i−i000000000000000000000000000000000000000000000000
χ784444-4-4-4-4-2-244-4-4-2-2-2-2-2-2222222221111-2-2-2-2-1-1-1-12222−4i4i11-1-12i2i2i2i−2i−2i−2i−2i−i−i−i−iiiii000000000000000000000000000000000000000000000000
χ794444-4-4-4-4-2-2-4-444-2-2-2-2-2-22222222211112222-1-1-1-1-2-2-2-200-1-111000000003i−3i−3i3i−3i3i3i−3i000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-2-2-4-444-2-2-2-2-2-22222222211112222-1-1-1-1-2-2-2-200-1-11100000000−3i3i3i−3i3i−3i−3i3i000000000000000000000000000000000000000000000000
χ8144-4-44i−4i4i−4i4-2-44−4i4i4-4-22-424i−4i−2i2i4i−4i−2i2i-2-222-442-2−2i2i−2i2i−4i4i2i−2i002-22i−2i0000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44i−4i4i−4i-244-44i−4i-224-42-4−2i2i4i−4i−2i2i4i−4i-2-222-224-4−2i2i−2i2i−2i2i4i−4i00-22−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ8344-4-44i−4i4i−4i-2-24-44i−4i-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1-22-22i−ii−i−2i2i−2i2i001-1i−i00−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13000000000000000000000000000000000000000000000000
χ8444-4-44i−4i4i−4i-2-24-44i−4i-22-2222−2i2i−2i2i−2i2i−2i2i11-1-1-22-22i−ii−i−2i2i−2i2i001-1i−i002ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13000000000000000000000000000000000000000000000000
χ8544-4-44i−4i4i−4i-2-2-44−4i4i-22-2222−2i2i−2i2i−2i2i−2i2i11-1-12-22-2i−ii−i2i−2i2i−2i00-11−ii−2ζ7+2ζ232ζ7−2ζ23002ζ5−2ζ13−2ζ5+2ζ1300ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13000000000000000000000000000000000000000000000000
χ8644-4-44i−4i4i−4i-2-2-44−4i4i-22-2222−2i2i−2i2i−2i2i−2i2i11-1-12-22-2i−ii−i2i−2i2i−2i00-11−ii2ζ7−2ζ23−2ζ7+2ζ2300−2ζ5+2ζ132ζ5−2ζ1300−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13000000000000000000000000000000000000000000000000
χ8744-4-4−4i4i−4i4i4-2-444i−4i4-4-22-42−4i4i2i−2i−4i4i2i−2i-2-222-442-22i−2i2i−2i4i−4i−2i2i002-2−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ8844-4-4−4i4i−4i4i-244-4−4i4i-224-42-42i−2i−4i4i2i−2i−4i4i-2-222-224-42i−2i2i−2i2i−2i−4i4i00-222i−2i0000000000000000000000000000000000000000000000000000000000000000
χ8944-4-4−4i4i−4i4i-2-24-4−4i4i-22-22222i−2i2i−2i2i−2i2i−2i11-1-1-22-22−ii−ii2i−2i2i−2i001-1−ii002ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ23−ζ5+ζ13−ζ5+ζ13ζ5−ζ13ζ5−ζ13ζ7−ζ23ζ7−ζ23−ζ7+ζ23−ζ7+ζ23000000000000000000000000000000000000000000000000
χ9044-4-4−4i4i−4i4i-2-24-4−4i4i-22-22222i−2i2i−2i2i−2i2i−2i11-1-1-22-22−ii−ii2i−2i2i−2i001-1−ii00−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ23ζ5−ζ13ζ5−ζ13−ζ5+ζ13−ζ5+ζ13−ζ7+ζ23−ζ7+ζ23ζ7−ζ23ζ7−ζ23000000000000000000000000000000000000000000000000
χ9144-4-4−4i4i−4i4i-2-2-444i−4i-22-22222i−2i2i−2i2i−2i2i−2i11-1-12-22-2−ii−ii−2i2i−2i2i00-11i−i2ζ5−2ζ13−2ζ5+2ζ1300−2ζ7+2ζ232ζ7−2ζ2300−ζ5+ζ13ζ5−ζ13−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23ζ7−ζ23−ζ7+ζ23000000000000000000000000000000000000000000000000
χ9244-4-4−4i4i−4i4i-2-2-444i−4i-22-22222i−2i2i−2i2i−2i2i−2i11-1-12-22-2−ii−ii−2i2i−2i2i00-11i−i−2ζ5+2ζ132ζ5−2ζ13002ζ7−2ζ23−2ζ7+2ζ2300ζ5−ζ13−ζ5+ζ13ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−ζ7+ζ23ζ7−ζ23000000000000000000000000000000000000000000000000
χ934-44-44i−4i−4i4i440000-44-44-4-44i−4i4i−4i−4i4i−4i4i4-4-4400004i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44i−4i−4i4i4-20000-442-2-424i−4i−2i2i−4i4i2i−2i-222-20000−2i2i2i−2i00000000000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ220000000000000000
χ954-44-44i−4i−4i4i4-20000-442-2-424i−4i−2i2i−4i4i2i−2i-222-20000−2i2i2i−2i00000000000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ220000000000000000
χ964-44-44i−4i−4i4i-2400002-2-442-4−2i2i4i−4i2i−2i−4i4i-222-20000−2i2i2i−2i000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22000000000000000000000000
χ974-44-44i−4i−4i4i-2400002-2-442-4−2i2i4i−4i2i−2i−4i4i-222-20000−2i2i2i−2i000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22000000000000000000000000
χ984-44-4−4i4i4i−4i440000-44-44-4-4−4i4i−4i4i4i−4i4i−4i4-4-440000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000
χ994-44-4−4i4i4i−4i4-20000-442-2-42−4i4i2i−2i4i−4i−2i2i-222-200002i−2i−2i2i00000000000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ220000000000000000
χ1004-44-4−4i4i4i−4i4-20000-442-2-42−4i4i2i−2i4i−4i−2i2i-222-200002i−2i−2i2i00000000000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ220000000000000000
χ1014-44-4−4i4i4i−4i-2400002-2-442-42i−2i−4i4i−2i2i4i−4i-222-200002i−2i−2i2i000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22000000000000000000000000
χ1024-44-4−4i4i4i−4i-2400002-2-442-42i−2i−4i4i−2i2i4i−4i-222-200002i−2i−2i2i000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22000000000000000000000000
χ1034-4-4444-4-44-20000-4-4224-244-2-2-4-422-22-220000-2-22200000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2i2−i2i2−i20000000000000000
χ1044-4-4444-4-44-20000-4-4224-244-2-2-4-422-22-220000-2-222000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2−i2i2−i2i20000000000000000
χ1054-4-4444-4-4-24000022-4-4-24-2-24422-4-4-22-220000-2-2220000000000000000000000000000000000−2i22i2−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ1064-4-4444-4-4-24000022-4-4-24-2-24422-4-4-22-220000-2-22200000000000000000000000000000000002i2−2i22i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ1074-4-44-4-4444-20000-4-4224-2-4-42244-2-2-22-22000022-2-20000000000000000000000000000000000000022−22−222200000000−22−222−22−20000000000000000
χ1084-4-44-4-4444-20000-4-4224-2-4-42244-2-2-22-22000022-2-200000000000000000000000000000000000000−222222−22000000002−22−2−22−220000000000000000
χ1094-4-44-4-444-24000022-4-4-2422-4-4-2-244-22-22000022-2-2000000000000000000000000000000000022−22−22220000−22−222−22−2000000000000000000000000
χ1104-4-44-4-444-24000022-4-4-2422-4-4-2-244-22-22000022-2-20000000000000000000000000000000000−222222−2200002−22−2−22−22000000000000000000000000
χ1118-88-88i−8i−8i8i-4-400004-44-444−4i4i−4i4i4i−4i4i−4i2-2-2200002i−2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8−8i8i8i−8i-4-400004-44-4444i−4i4i−4i−4i4i−4i4i2-2-220000−2i2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-8888-8-8-4-400004444-4-4-4-4-4-444442-22-2000022-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-8-888-4-400004444-4-44444-4-4-4-42-22-20000-2-22200000000000000000000000000000000000000000000000000000000000000000000000000

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