Finite Group Databasebeta

← Group #13154881

Character table — Group #13154881

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size111122444444444444666666668899991212121212121212121212121818242424243636363611112244444444444466666666889999121212121212121212121212181824242424363636361111224444444444446666666688999912121212121212121212121218182424242436363636
order122244336666661212121288888888121244444444242424242424242444121212128888366612123366666612121212242424242424242412121212121212121212242424242424242412121212121224242424366612123366666612121212242424242424242412121212121212121212242424242424242412121212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-111ii−i−i1111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-111ii−i−i1111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-111ii−i−i
χ61111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−i1111-1-1−i−iii1111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−i1111-1-1−i−iii1111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−i1111-1-1−i−iii
χ71111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-111−i−iii1111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-111−i−iii1111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-111-1-1−i−i−i−iiiii11-1-111−i−iii
χ81111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111−i−i−i−iiiii1111-1-1ii−i−i1111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111−i−i−i−iiiii1111-1-1ii−i−i1111-1-111111111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111−i−i−i−iiiii1111-1-1ii−i−i
χ91-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−ii−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−ii−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−ii−i1-1ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−iζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ101-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−i−ii-11ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−i−ii-11ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1-11i−i111-1-1-11-1i−ii−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−ii−ii−i−ii-11ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1-11−ii−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ111-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−ii−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−ii−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ231-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−ii−i1-1−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−i−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ121-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−i−ii-11−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−i−ii-11−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ231-1-11i−i111-1-1-11-1i−ii−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−ii−ii−i−ii-11−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1-11−iiζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ131-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−iii−i-11ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−iii−i-11ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−iii−i-11ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1-11i−i−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ141-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−ii−ii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−ii−ii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1-11−ii111-1-1-11-1−ii−iiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii−ii−ii−ii1-1ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−iiζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ151-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−iii−i-11−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−iii−i-11−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ131-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−iii−i-11−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1-11i−iζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ161-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−ii−ii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−ii−ii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ131-1-11−ii111-1-1-11-1−ii−ii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii−ii−ii−ii1-1−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ172222222222222222220000000022-2-2-2-2000000000000-2-2000000002222222222222222220000000022-2-2-2-2000000000000-2-2000000002222222222222222220000000022-2-2-2-2000000000000-2-200000000
χ182222-2-222222222-2-2-2-200000000-2-22222000000000000-2-2000000002222-2-222222222-2-2-2-200000000-2-22222000000000000-2-2000000002222-2-222222222-2-2-2-200000000-2-22222000000000000-2-200000000
χ1922-2-20022-2-2-22-2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000022-2-20022-2-2-22-2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000022-2-20022-2-2-22-2200001+i−1−i1+i−1−i1−i−1+i1−i−1+i002i−2i−2i2i00001+i−1−i1+i−1−i1−i−1+i1−i−1+i0000000000
χ2022-2-20022-2-2-22-2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i2i−2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000022-2-20022-2-2-22-2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i2i−2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000022-2-20022-2-2-22-2200001−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2i2i2i−2i00001−i−1+i1−i−1+i1+i−1−i1+i−1−i0000000000
χ2122-2-20022-2-2-22-220000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i2i−2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000022-2-20022-2-2-22-220000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i2i−2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000022-2-20022-2-2-22-220000−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2i2i2i−2i0000−1+i1−i−1+i1−i−1−i1+i−1−i1+i0000000000
χ2222-2-20022-2-2-22-220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000022-2-20022-2-2-22-220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000022-2-20022-2-2-22-220000−1−i1+i−1−i1+i−1+i1−i−1+i1−i002i−2i−2i2i0000−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000000000
χ232-22-20022-222-2-2-20000i2−i2−i2i2i2−i2−i2i200-2-2220000i2−i2−i2i2i2−i2−i2i200000000002-22-20022-222-2-2-20000i2−i2−i2i2i2−i2−i2i200-2-2220000i2−i2−i2i2i2−i2−i2i200000000002-22-20022-222-2-2-20000i2−i2−i2i2i2−i2−i2i200-2-2220000i2−i2−i2i2i2−i2−i2i20000000000
χ242-22-20022-222-2-2-200002−2−22−222−20022-2-200002−2−22−222−200000000002-22-20022-222-2-2-200002−2−22−222−20022-2-200002−2−22−222−200000000002-22-20022-222-2-2-200002−2−22−222−20022-2-200002−2−22−222−20000000000
χ252-22-20022-222-2-2-20000−222−22−2−220022-2-20000−222−22−2−2200000000002-22-20022-222-2-2-20000−222−22−2−220022-2-20000−222−22−2−2200000000002-22-20022-222-2-2-20000−222−22−2−220022-2-20000−222−22−2−220000000000
χ262-22-20022-222-2-2-20000−i2i2i2−i2−i2i2i2−i200-2-2220000−i2i2i2−i2−i2i2i2−i200000000002-22-20022-222-2-2-20000−i2i2i2−i2−i2i2i2−i200-2-2220000−i2i2i2−i2−i2i2i2−i200000000002-22-20022-222-2-2-20000−i2i2i2−i2−i2i2i2−i200-2-2220000−i2i2i2−i2−i2i2i2−i20000000000
χ272-2-222i−2i222-2-2-22-22i−2i2i−2i000000002i−2i−2i2i−2i2i000000000000-22000000002-2-222i−2i222-2-2-22-22i−2i2i−2i000000002i−2i−2i2i−2i2i000000000000-22000000002-2-222i−2i222-2-2-22-22i−2i2i−2i000000002i−2i−2i2i−2i2i000000000000-2200000000
χ282-2-22−2i2i222-2-2-22-2−2i2i−2i2i00000000−2i2i2i−2i2i−2i000000000000-22000000002-2-22−2i2i222-2-2-22-2−2i2i−2i2i00000000−2i2i2i−2i2i−2i000000000000-22000000002-2-22−2i2i222-2-2-22-2−2i2i−2i2i00000000−2i2i2i−2i2i−2i000000000000-2200000000
χ294444441-211-21-2-2111122222222-2-200000000-1-1-1-1-1-1-1-100000000004444441-211-21-2-2111122222222-2-200000000-1-1-1-1-1-1-1-100000000004444441-211-21-2-2111122222222-2-200000000-1-1-1-1-1-1-1-10000000000
χ304444441-211-21-2-21111-2-2-2-2-2-2-2-2-2-2000000001111111100000000004444441-211-21-2-21111-2-2-2-2-2-2-2-2-2-2000000001111111100000000004444441-211-21-2-21111-2-2-2-2-2-2-2-2-2-200000000111111110000000000
χ31444444-21-2-21-211-2-2-2-20000000011000022220000000000-1-1-1-10000444444-21-2-21-211-2-2-2-20000000011000022220000000000-1-1-1-10000444444-21-2-21-211-2-2-2-20000000011000022220000000000-1-1-1-10000
χ32444444-21-2-21-211-2-2-2-200000000110000-2-2-2-2000000000011110000444444-21-2-21-211-2-2-2-200000000110000-2-2-2-2000000000011110000444444-21-2-21-211-2-2-2-200000000110000-2-2-2-2000000000011110000
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χ10788-8-800-4244-2-4-220000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i3−2+2i3−2+2i31−i32−2i31−i3−1+i30000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i3−2−2i3−2−2i31+i32+2i31+i3−1−i30000000000000000000000000000000000000000
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χ109111111111111111111111111111111111111111111111111111111−1−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−i32−1−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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ11011111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1−1−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−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+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+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−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
χ111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111-1-1-1-1−1−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−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ112111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1131111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-111-1-1iiii−i−i−i−i11-1-111ii−i−i−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14
χ1141111-1-111111111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111iiii−i−i−i−i1111-1-1−i−iii−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ221+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−1−i32−1−i32−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ141−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−1+i32−1+i32−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ14
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χ1584-4-44−4i4i1-21-12-1-22−ii−ii−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232i−2i00000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ230000000000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ22−1−i321+i3−1−i321+i32−1−i31+i321+i3−1−i3−ζ22ζ22−ζ22ζ222ζ132ζ13−2ζ13−2ζ132ζ72ζ7−2ζ7−2ζ72ζ22−2ζ2200000000−ζ13−ζ13ζ13ζ13−ζ7−ζ7ζ7ζ70000000000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ14−1+i321−i3−1+i321−i32−1+i31−i321−i3−1+i3−ζ14ζ14−ζ14ζ142ζ52ζ5−2ζ5−2ζ52ζ232ζ23−2ζ23−2ζ232ζ14−2ζ1400000000−ζ5−ζ5ζ5ζ5−ζ23−ζ23ζ23ζ230000000000
χ1594-4-44−4i4i-21-22-121-12i−2i2i−2i00000000−ii00002i−2i-2200000000001-1−ii0000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ221+i3−1−i321+i3−1−i31+i32−1−i3−1−i321+i322ζ22−2ζ222ζ22−2ζ2200000000−ζ22ζ2200002ζ22−2ζ221+i3−1−i30000000000−1−i321+i32−ζ22ζ220000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ141−i3−1+i321−i3−1+i31−i32−1+i3−1+i321−i322ζ14−2ζ142ζ14−2ζ1400000000−ζ14ζ1400002ζ14−2ζ141−i3−1+i30000000000−1+i321−i32−ζ14ζ140000
χ1604-4-44−4i4i-21-22-121-12i−2i2i−2i00000000−ii0000−2i2i2-20000000000-11i−i0000−2−2i32+2i32+2i3−2−2i3−4ζ224ζ221+i3−1−i321+i3−1−i31+i32−1−i3−1−i321+i322ζ22−2ζ222ζ22−2ζ2200000000−ζ22ζ220000−2ζ222ζ22−1−i31+i300000000001+i32−1−i32ζ22−ζ220000−2+2i32−2i32−2i3−2+2i3−4ζ144ζ141−i3−1+i321−i3−1+i31−i32−1+i3−1+i321−i322ζ14−2ζ142ζ14−2ζ1400000000−ζ14ζ140000−2ζ142ζ14−1+i31−i300000000001−i32−1+i32ζ14−ζ140000
χ16188-8-800-4244-2-4-220000000000000000000000000000000000000000−4−4i3−4−4i34+4i34+4i3002+2i3−1−i3−2−2i3−2−2i31+i32+2i31+i3−1−i30000000000000000000000000000000000000000−4+4i3−4+4i34−4i34−4i3002−2i3−1+i3−2+2i3−2+2i31−i32−2i31−i3−1+i30000000000000000000000000000000000000000
χ1628-88-800-424-424-2-20000000000000000000000000000000000000000−4−4i34+4i3−4−4i34+4i3002+2i3−1−i3−2−2i32+2i3−1−i3−2−2i31+i31+i30000000000000000000000000000000000000000−4+4i34−4i3−4+4i34−4i3002−2i3−1+i3−2+2i32−2i3−1+i3−2+2i31−i31−i30000000000000000000000000000000000000000

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