Finite Group Databasebeta

← Group #13173350

Character table — Group #13173350

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222224444444444444444444444444444448888888888888888888888888888888888889999181818181818181818182727272727272727363636363636545454545454545454545454
order1222344444466633333366666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121244444444441212121288888888121212121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii
χ51111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-111-1-111-1-1-1-111-1-1-1-1
χ61111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111
χ71111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−i11-1-111ii−i−i−i−i−i−iiiii
χ81111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii11-1-111−i−iiiiiii−i−i−i−i
χ911111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111111111-1-1-1-111-1-111-1-1-1-111-1-1
χ1011111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ1111111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1−i−iii−i−iii−i−iii
χ1211111-1-111-1-1111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1ii−i−iii−i−iii−i−i
χ1311111-1-1-1-111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ1411111-1-1-1-111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1
χ1511111-1-1-1-111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-11111−i−i−i−iiiiiii−i−i
χ1611111-1-1-1-111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-11111iiii−i−i−i−i−i−iii
χ171-1-111i−ii−i1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−ii−i1-11-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−i1-11-1−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ181-1-111i−ii−i1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−ii−i1-11-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−i1-11-1ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ191-1-111i−ii−i1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii−ii-11-11−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii-11-11−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ201-1-111i−ii−i1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−i1-1111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii−ii-11-11−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii-11-11ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ211-1-111i−i−ii-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii-11-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−ii−i−ii1-1-11ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ii1-1-11−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ221-1-111i−i−ii-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii-11-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−ii−i−ii1-1-11ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ii1-1-11ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ231-1-111i−i−ii-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii-11-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−iii−i-111-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23i−i-111-1−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ241-1-111i−i−ii-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−i−ii-11-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−iii−i-111-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23i−i-111-1ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ251-1-111−iii−i-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i-11-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−ii−ii−i−ii-111-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ii-111-1ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ261-1-111−iii−i-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i-11-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−ii−ii−i−ii-111-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ii-111-1−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ271-1-111−iii−i-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i-11-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−ii−iii−i1-1-11−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23i−i1-1-11ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ281-1-111−iii−i-11-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−iii−i-11-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−ii−iii−i1-1-11−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23i−i1-1-11−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ291-1-111−ii−ii1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−ii−i-11-11ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13i−i-11-11ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ301-1-111−ii−ii1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−ii−i-11-11ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13i−i-11-11−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ311-1-111−ii−ii1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii−ii1-11-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ii1-11-1ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ321-1-111−ii−ii1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii1-1111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii−ii1-11-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ii1-11-1−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ332222-1222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222222222-1-1-1-100000000-1-1-1-1-1-1000000000000
χ342222-1222222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-2111100000000111111000000000000
χ352222-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-11111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-211112222-2-222-2-2-1-1-1-10000000011-1-111000000000000
χ362222-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-1-11111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-222-2-222111100000000-1-111-1-1000000000000
χ372222-1-2-222-2-2-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-111-1-111-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-12222-2-2-2-222-1-1-1-1000000001111-1-1000000000000
χ382222-1-2-222-2-2-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-111-1-111-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-2-2-22222-2-2111100000000-1-1-1-111000000000000
χ392222-1-2-2-2-222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-11111-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111222222-2-2-2-2-1-1-1-100000000-1-11111000000000000
χ402222-1-2-2-2-222-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-11111-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111-2-2-2-2-2-2222211110000000011-1-1-1-1000000000000
χ4122-2-220000002-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022-2-20000002-22-22-22-22-22-2000000000000000000
χ4222-2-220000002-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000022-2-20000002-22-2-22-22-22-22000000000000000000
χ4322-2-220000002-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-222000000-22-222i−2i2i−2i−2i2i−2i2i000000000000000000
χ4422-2-220000002-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000-2-222000000-22-22−2i2i−2i2i2i−2i2i−2i000000000000000000
χ452-22-22000000-22-2222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000000000000000002i−2i−2i2i0000002i−2i−2i2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ462-22-22000000-22-2222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000000000000000000000000000000000000002i−2i−2i2i0000002i−2i−2i2i−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ472-22-22000000-22-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000−2i2i2i−2i000000−2i2i2i−2i−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ482-22-22000000-22-2222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000000000000000000000000000000000000000−2i2i2i−2i000000−2i2i2i−2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ492-2-22-12i−2i2i−2i2-211-122-1-1-1-1-2-2111122-1-1-1-1-2-21111−ii−ii-1122-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii2i−2i2i−2i2i−2i2-22-2−i−iii00000000−ii-11-11000000000000
χ502-2-22-12i−2i2i−2i2-211-122-1-1-1-1-2-2111122-1-1-1-1-2-21111−ii−ii-1122-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii−2i2i−2i2i−2i2i-22-22ii−i−i00000000i−i1-11-1000000000000
χ512-2-22-12i−2i−2i2i-2211-122-1-1-1-1-2-2111122-1-1-1-1-2-21111−iii−i1-1-2-2111122-1-1-1-12i2i−i−i−i−i−2i−2iiiii−2i−2iiiii2i2i−i−i−i−i2i−2i2i−2i−2i2i2-2-22−i−iii00000000i−i-111-1000000000000
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χ1064-4-44-2−4i4i−4i4i4-422-21-2−1+3i32−1−3i3211-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-12i−2i2i−2i-221-2−1+3i32−1−3i3211-121−3i321+3i32-1-1−i2i−2ζ14+ζ22ζ14−2ζ22−i−ii−2i2ζ14−ζ22−ζ14+2ζ22ii−i2i−2ζ14+ζ22ζ14−2ζ22−i−ii−2i2ζ14−ζ22−ζ14+2ζ22ii0000000000000000000000000000000000000000
χ1074-4-44-2−4i4i−4i4i4-422-2-2111−1−3i32−1+3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322i−2i2i−2i-22-2111−1−3i32−1+3i322-1-1-11+3i321−3i322i−i−i−iζ14−2ζ22−2ζ14+ζ22−2iiii−ζ14+2ζ222ζ14−ζ222i−i−i−iζ14−2ζ22−2ζ14+ζ22−2iiii−ζ14+2ζ222ζ14−ζ220000000000000000000000000000000000000000
χ1084-4-44-2−4i4i−4i4i4-422-2-2111−1+3i32−1−3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i−2i2i−2i-22-2111−1+3i32−1−3i322-1-1-11−3i321+3i322i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ222i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ220000000000000000000000000000000000000000
χ10988-8-880000008-8-82-422-4-42-422-4-4-24-2-244-24-2-2440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-880000008-8-8-42-4-422-42-4-4224-244-2-24-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4000000-4442-4−1−3i3−1+3i3222-4−1−3i3−1+3i322-241+3i31−3i3-2-2-241+3i31−3i3-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4000000-4442-4−1+3i3−1−3i3222-4−1+3i3−1−3i322-241−3i31+3i3-2-2-241−3i31+3i3-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4000000-444-4222−1−3i3−1+3i3-4222−1−3i3−1+3i34-2-2-21+3i31−3i34-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4000000-444-4222−1+3i3−1−3i3-4222−1+3i3−1−3i34-2-2-21−3i31+3i34-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-88000000-88-82-422-4-4-24-2-244-24-2-2442-422-4-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-88000000-88-8-42-4-4224-244-2-24-244-2-2-42-4-4220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-40000004-442-4−1−3i3−1+3i322-241+3i31−3i3-2-2-241+3i31−3i3-2-22-4−1−3i3−1+3i3220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-40000004-442-4−1+3i3−1−3i322-241−3i31+3i3-2-2-241−3i31+3i3-2-22-4−1+3i3−1−3i3220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-40000004-44-4222−1−3i3−1+3i34-2-2-21+3i31−3i34-2-2-21+3i31−3i3-4222−1−3i3−1+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-40000004-44-4222−1+3i3−1−3i34-2-2-21−3i31+3i34-2-2-21−3i31+3i3-4222−1+3i3−1−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000

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