Finite Group Databasebeta

← Group #13173336

Character table — Group #13173336

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222224444444444444444444444444444448888888888888888888888888888888888889999181818181818181818182727272727272727363636363636545454545454545454545454
order122222344446663333336666666666666666666612121212666666666666121212121212121212121212121212121212121212121212444422444412121212888888886612121212888888888888
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-1-1-1-1-1-1ii−i−iiiii−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−iii−i−i−i−iiiii
χ51111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-111-1-1-1-111-1-111-1-1
χ61111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111
χ71111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1iiii−i−i−i−i1111-1-1−i−iiiii−i−i−i−iii
χ81111111-1-1-1-111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1−i−i−i−iiiii1111-1-1ii−i−i−i−iiiii−i−i
χ91111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1
χ101111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ111111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1iiii−i−i−i−i11-1-111ii−i−i−i−i−i−iiiii
χ121111-1-1111-1-1111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1−i−i−i−iiiii11-1-111−i−iiiiiii−i−i−i−i
χ131111-1-11-1-111111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ141111-1-11-1-111111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-111-1-1
χ151111-1-11-1-111111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-11111−i−iii−i−iiiii−i−i
χ161111-1-11-1-111111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-11111ii−i−iii−i−i−i−iii
χ171-11-11-11i−ii−i-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ181-11-11-11i−ii−i-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−ii−ii−i1-11-1i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ191-11-11-11i−ii−i-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−ii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ201-11-11-11i−ii−i-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1i−ii−i111111-1-1-1-1-1-1iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−i−ii−ii-11-11−ii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ211-11-11-11−ii−ii-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11i−iii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ221-11-11-11−ii−ii-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiiii−ii−i-11-11i−iii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ231-11-11-11−ii−ii-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−ii−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ241-11-11-11−ii−ii-11-11111111-1111111-1-1-1-1-1-1-1-1-1-1-1-1−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−ii−ii1-11-1−ii−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ251-11-1-111i−i−ii-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−ii−i-111-1−iiii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-111-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ261-11-1-111i−i−ii-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiii−ii−i-111-1−iiii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-111-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ271-11-1-111i−i−ii-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−ii1-1-11i−i−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1-11i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13
χ281-11-1-111i−i−ii-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1i−i−ii-1-1-1-1-1-1111111iiiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−ii−ii1-1-11i−i−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1-11i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13
χ291-11-1-111−iii−i-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−ii−ii−i1-1-11−iiii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1-11−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23
χ301-11-1-111−iii−i-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−ii−ii−i1-1-11−iiii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1-11−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23
χ311-11-1-111−iii−i-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−ii−ii-111-1i−i−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-111-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ321-11-1-111−iii−i-11-1111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1−iii−i-1-1-1-1-1-1111111−i−i−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−ii−ii-111-1i−i−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-111-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ33222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222222222-1-1-1-100000000-1-1-1-1-1-1000000000000
χ34222222-12222-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-2111100000000111111000000000000
χ35222222-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-211112222-2-2-2-222-1-1-1-1000000001111-1-1000000000000
χ36222222-1-2-2-2-2-1-1-122-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-21111-2-21111-2-2-2-22222-2-2111100000000-1-1-1-111000000000000
χ372222-2-2-122-2-2-1-1-122-1-1-1-11122-1-1-1-12222-1-1-1-1-1-1-1-1-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-211112222-2-222-2-2-1-1-1-10000000011-1-111000000000000
χ382222-2-2-122-2-2-1-1-122-1-1-1-11122-1-1-1-12222-1-1-1-1-1-1-1-1-1-111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2-2-222-2-222111100000000-1-111-1-1000000000000
χ392222-2-2-1-2-222-1-1-122-1-1-1-11122-1-1-1-12222-1-1-1-1-1-1-1-111-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1222222-2-2-2-2-1-1-1-100000000-1-11111000000000000
χ402222-2-2-1-2-222-1-1-122-1-1-1-11122-1-1-1-12222-1-1-1-1-1-1-1-111-1-1-2-21111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-1-2-2-2-2-2-2222211110000000011-1-1-1-1000000000000
χ4122-2-200200002-2-222222200-2-2-2-2-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i0000002i−2i2i−2i−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ4222-2-200200002-2-222222200-2-2-2-2-2-222-2-22222-2-2-2-200000000000000000000000000000000000000002i−2i−2i2i0000002i−2i2i−2i2ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ4322-2-200200002-2-222222200-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i000000−2i2i−2i2i2ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ4422-2-200200002-2-222222200-2-2-2-2-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000−2i2i2i−2i000000−2i2i−2i2i−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ452-22-22-2-12i−2i2i−2i1-1122-1-1-1-1-1122-1-1-1-1-2-2-2-211111111−ii−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii2i−2i2i−2i2-22-22i−2i−i−iii00000000-11-11−ii000000000000
χ462-22-22-2-12i−2i2i−2i1-1122-1-1-1-1-1122-1-1-1-1-2-2-2-211111111−ii−ii22-1-1-1-1-2-211112i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii−2i2i−2i2i-22-22−2i2iii−i−i000000001-11-1i−i000000000000
χ472-22-22-2-1−2i2i−2i2i1-1122-1-1-1-1-1122-1-1-1-1-2-2-2-211111111i−ii−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i2i−2i2i−2i-22-222i−2i−i−iii000000001-11-1−ii000000000000
χ482-22-22-2-1−2i2i−2i2i1-1122-1-1-1-1-1122-1-1-1-1-2-2-2-211111111i−ii−i22-1-1-1-1-2-21111−2i−2iiiii2i2i−i−i−i−i−2i−2iiiii2i2i−i−i−i−i−2i2i−2i2i2-22-2−2i2iii−i−i00000000-11-11i−i000000000000
χ492-22-2-22-12i−2i−2i2i1-1122-1-1-1-11-122-1-1-1-1-2-2-2-211111111−iii−i-2-2111122-1-1-1-12i2i−i−i−i−i−2i−2iiiii−2i−2iiiii2i2i−i−i−i−i2i−2i2i−2i-222-2−2i2i−i−iii000000001-1-11i−i000000000000
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χ1054-44-4-44-2−4i4i4i−4i2-22-2111−1−3i32−1+3i322-2-2111−1−3i32−1+3i322-12-1-1-11+3i321−3i32-1-11+3i321−3i322i−2i−2i2i2-1-1-11+3i321−3i32-2111−1−3i32−1+3i322i−i−i−iζ14−2ζ22−2ζ14+ζ22−2iiii−ζ14+2ζ222ζ14−ζ22−2iiii−ζ14+2ζ222ζ14−ζ222i−i−i−iζ14−2ζ22−2ζ14+ζ220000000000000000000000000000000000000000
χ1064-44-4-44-2−4i4i4i−4i2-22-2111−1+3i32−1−3i322-2-2111−1+3i32−1−3i322-12-1-1-11−3i321+3i32-1-11−3i321+3i322i−2i−2i2i2-1-1-11−3i321+3i32-2111−1+3i32−1−3i322i−i−i−i−2ζ14+ζ22ζ14−2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ22−2iiii2ζ14−ζ22−ζ14+2ζ222i−i−i−i−2ζ14+ζ22ζ14−2ζ220000000000000000000000000000000000000000
χ1074-4-4400-2000022-244-2-2-2-200-4-42222-4-4442222-2-2-2-2000000000000000000000000000000000000000044-4-4000000-222-200000000000000000000000000
χ1084-4-4400-2000022-244-2-2-2-200-4-42222-4-4442222-2-2-2-20000000000000000000000000000000000000000-4-4440000002-2-2200000000000000000000000000
χ10988-8-800800008-8-82-422-4-400-24-2-2442-4-2422-4-4-2-24400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11088-8-800800008-8-8-42-4-422004-244-2-2-424-2-4-42244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11188-8-800-40000-4442-4−1−3i3−1+3i32200-241+3i31−3i3-2-22-4-24−1−3i3−1+3i3221+3i31−3i3-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-40000-4442-4−1+3i3−1−3i32200-241−3i31+3i3-2-22-4-24−1+3i3−1−3i3221−3i31+3i3-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-40000-444-4222−1−3i3−1+3i3004-2-2-21+3i31−3i3-424-222−1−3i3−1+3i3-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-40000-444-4222−1+3i3−1−3i3004-2-2-21−3i31+3i3-424-222−1+3i3−1−3i3-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-880080000-8-882-422-4-400-24-2-244-242-4-2-24422-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-880080000-8-88-42-4-422004-244-2-24-2-4244-2-2-4-42200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-8800-4000044-42-4−1−3i3−1+3i32200-241+3i31−3i3-2-2-242-41+3i31−3i3-2-2−1−3i3−1+3i32200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-8800-4000044-42-4−1+3i3−1−3i32200-241−3i31+3i3-2-2-242-41−3i31+3i3-2-2−1+3i3−1−3i32200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-8800-4000044-4-4222−1−3i3−1+3i3004-2-2-21+3i31−3i34-2-42-2-21+3i31−3i322−1−3i3−1+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-8800-4000044-4-4222−1+3i3−1−3i3004-2-2-21−3i31+3i34-2-42-2-21−3i31+3i322−1+3i3−1−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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