Finite Group Databasebeta

← Group #13167615

Character table — Group #13167615

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111188889999181818181818181818181818111188889999181818181818181818181818111188889999181818181818181818181818111188889999181818181818181818181818111188889999181818181818181818181818111188889999181818181818181818181818
order1244361212224444448888888836121236121266121212121212242424242424242436121236121266121212121212242424242424242422446612122244444488888888661212661212661212121212122424242424242424661212661212661212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ3111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ511-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i11-1-111-1-111-1-111-1-1ii−i−iii−i−i
χ611-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii11-1-111-1-111-1-111-1-1−i−iii−i−iii
χ711-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-111-1-111-1-1-1-111ii−i−i−i−iii11-1-111-1-111-1-1-1-111ii−i−i−i−iii
χ811-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−iiiii−i−i
χ91-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ101-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ111-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ121-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ131-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ141-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ151-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ161-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ1722222222-2-2-2-200000000000022222222-2-2-2-200000000000022222222-2-2-2-200000000000022222222-2-2-2-200000000000022222222-2-2-2-200000000000022222222-2-2-2-2000000000000
χ1822-2-222-2-2-2-22200000000000022-2-222-2-2-2-22200000000000022-2-222-2-2-2-22200000000000022-2-222-2-2-2-22200000000000022-2-222-2-2-2-22200000000000022-2-222-2-2-2-222000000000000
χ192-22i−2i2-22i−2i-22−2i2i0000000000002-22i−2i2-22i−2i-22−2i2i0000000000002-22i−2i2-22i−2i-22−2i2i0000000000002-22i−2i2-22i−2i-22−2i2i0000000000002-22i−2i2-22i−2i-22−2i2i0000000000002-22i−2i2-22i−2i-22−2i2i000000000000
χ202-2−2i2i2-2−2i2i-222i−2i0000000000002-2−2i2i2-2−2i2i-222i−2i0000000000002-2−2i2i2-2−2i2i-222i−2i0000000000002-2−2i2i2-2−2i2i-222i−2i0000000000002-2−2i2i2-2−2i2i-222i−2i0000000000002-2−2i2i2-2−2i2i-222i−2i000000000000
χ218888-1-1-1-100000000000000008888-1-1-1-100000000000000008888-1-1-1-100000000000000008888-1-1-1-100000000000000008888-1-1-1-100000000000000008888-1-1-1-10000000000000000
χ2288-8-8-1-111000000000000000088-8-8-1-111000000000000000088-8-8-1-111000000000000000088-8-8-1-111000000000000000088-8-8-1-111000000000000000088-8-8-1-1110000000000000000
χ238-88i−8i-11−ii00000000000000008-88i−8i-11−ii00000000000000008-88i−8i-11−ii00000000000000008-88i−8i-11−ii00000000000000008-88i−8i-11−ii00000000000000008-88i−8i-11−ii0000000000000000
χ248-8−8i8i-11i−i00000000000000008-8−8i8i-11i−i00000000000000008-8−8i8i-11i−i00000000000000008-8−8i8i-11i−i00000000000000008-8−8i8i-11i−i00000000000000008-8−8i8i-11i−i0000000000000000
χ25111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ261111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321111111111111111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ27111111111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32111111111111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ28111111111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32111111111111-1-1-1-1-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ2911-1-111-1-111-1-111-1-1ii−i−iii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ2211-1-111-1-111-1-111-1-1ii−i−iii−i−i−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
χ3011-1-111-1-111-1-111-1-1−i−iii−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ2211-1-111-1-111-1-111-1-1−i−iii−i−iii−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
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χ1221111111111111111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ123111111111111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ124111111111111-1-1-1-1-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ12511-1-111-1-111-1-111-1-1ii−i−iii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14-1-111-1-111-1-111-1-111−i−iii−i−iii1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
χ12611-1-111-1-111-1-111-1-1−i−iii−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14-1-111-1-111-1-111-1-111ii−i−iii−i−i1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
χ12711-1-111-1-111-1-1-1-111ii−i−i−i−iii−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14-1-111-1-111-1-11111-1-1−i−iiiii−i−i1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ12811-1-111-1-111-1-1-1-111−i−iiiii−i−i−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14-1-111-1-111-1-11111-1-1ii−i−i−i−iii1+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ1291-1i−i1-1i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5-11−ii-11−ii-11−ii-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5
χ1301-1i−i1-1i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5ζ23−ζ23ζ5−ζ5-11−ii-11−ii-11−ii-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13−ζ7ζ7−ζ13ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5−ζ23ζ23−ζ5ζ5
χ1311-1i−i1-1i−i1-1i−i-11−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ13−ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5-11−ii-11−ii-11−ii1-1i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−1−i321+i32ζ22−ζ22ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ13ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14−1+i321−i32ζ14−ζ14ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5
χ1321-1i−i1-1i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ22−1−i321+i32ζ22−ζ221+i32−1−i32−ζ22ζ22ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ13ζ13−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ14−1+i321−i32ζ14−ζ141−i32−1+i32−ζ14ζ14ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5-11−ii-11−ii-11−ii1-1i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ221+i32−1−i32−ζ22ζ22−1−i321+i32ζ22−ζ22−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ13−ζ131−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ141−i32−1+i32−ζ14ζ14−1+i321−i32ζ14−ζ14−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5
χ1331-1−ii1-1−ii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23-11i−i-11i−i-11i−i-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23
χ1341-1−ii1-1−ii1-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23ζ5−ζ5ζ23−ζ23-11i−i-11i−i-11i−i-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7−ζ13ζ13−ζ7ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23−ζ5ζ5−ζ23ζ23
χ1351-1−ii1-1−ii1-1−ii-11i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ23−ζ23-11i−i-11i−i-11i−i1-1−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22−1−i321+i32−ζ22ζ22ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14−1+i321−i32−ζ14ζ14ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ23ζ23
χ1361-1−ii1-1−ii1-1−ii-11i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22ζ221+i32−1−i32ζ22−ζ22ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14ζ141−i32−1+i32ζ14−ζ14ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ23ζ23-11i−i-11i−i-11i−i1-1−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ221+i32−1−i32ζ22−ζ22−1−i321+i32−ζ22ζ22−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ71−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ141−i32−1+i32ζ14−ζ14−1+i321−i32−ζ14ζ14−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ23−ζ23
χ13722222222-2-2-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000-2-2-2-2-2-2-2-222220000000000001+i31+i31+i31+i31+i31+i31+i31+i3−1−i3−1−i3−1−i3−1−i30000000000001−i31−i31−i31−i31−i31−i31−i31−i3−1+i3−1+i3−1+i3−1+i3000000000000
χ13822-2-222-2-2-2-222000000000000−1−i3−1−i31+i31+i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i31−i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3000000000000-2-222-2-22222-2-20000000000001+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i30000000000001−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3000000000000
χ1392-22i−2i2-22i−2i-22−2i2i000000000000−1−i31+i32ζ22−2ζ22−1−i31+i32ζ22−2ζ221+i3−1−i3−2ζ222ζ22000000000000−1+i31−i32ζ14−2ζ14−1+i31−i32ζ14−2ζ141−i3−1+i3−2ζ142ζ14000000000000-22−2i2i-22−2i2i2-22i−2i0000000000001+i3−1−i3−2ζ222ζ221+i3−1−i3−2ζ222ζ22−1−i31+i32ζ22−2ζ220000000000001−i3−1+i3−2ζ142ζ141−i3−1+i3−2ζ142ζ14−1+i31−i32ζ14−2ζ14000000000000
χ1402-2−2i2i2-2−2i2i-222i−2i000000000000−1−i31+i3−2ζ222ζ22−1−i31+i3−2ζ222ζ221+i3−1−i32ζ22−2ζ22000000000000−1+i31−i3−2ζ142ζ14−1+i31−i3−2ζ142ζ141−i3−1+i32ζ14−2ζ14000000000000-222i−2i-222i−2i2-2−2i2i0000000000001+i3−1−i32ζ22−2ζ221+i3−1−i32ζ22−2ζ22−1−i31+i3−2ζ222ζ220000000000001−i3−1+i32ζ14−2ζ141−i3−1+i32ζ14−2ζ14−1+i31−i3−2ζ142ζ14000000000000
χ1418888-1-1-1-10000000000000000−4−4i3−4−4i3−4−4i3−4−4i31+i321+i321+i321+i320000000000000000−4+4i3−4+4i3−4+4i3−4+4i31−i321−i321−i321−i320000000000000000-8-8-8-8111100000000000000004+4i34+4i34+4i34+4i3−1−i32−1−i32−1−i32−1−i3200000000000000004−4i34−4i34−4i34−4i3−1+i32−1+i32−1+i32−1+i320000000000000000
χ14288-8-8-1-1110000000000000000−4−4i3−4−4i34+4i34+4i31+i321+i32−1−i32−1−i320000000000000000−4+4i3−4+4i34−4i34−4i31−i321−i32−1+i32−1+i320000000000000000-8-88811-1-100000000000000004+4i34+4i3−4−4i3−4−4i3−1−i32−1−i321+i321+i3200000000000000004−4i34−4i3−4+4i3−4+4i3−1+i32−1+i321−i321−i320000000000000000
χ1438-88i−8i-11−ii0000000000000000−4−4i34+4i38ζ22−8ζ221+i32−1−i32−ζ22ζ220000000000000000−4+4i34−4i38ζ14−8ζ141−i32−1+i32−ζ14ζ140000000000000000-88−8i8i1-1i−i00000000000000004+4i3−4−4i3−8ζ228ζ22−1−i321+i32ζ22−ζ2200000000000000004−4i3−4+4i3−8ζ148ζ14−1+i321−i32ζ14−ζ140000000000000000
χ1448-8−8i8i-11i−i0000000000000000−4−4i34+4i3−8ζ228ζ221+i32−1−i32ζ22−ζ220000000000000000−4+4i34−4i3−8ζ148ζ141−i32−1+i32ζ14−ζ140000000000000000-888i−8i1-1−ii00000000000000004+4i3−4−4i38ζ22−8ζ22−1−i321+i32−ζ22ζ2200000000000000004−4i3−4+4i38ζ14−8ζ14−1+i321−i32−ζ14ζ140000000000000000

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