Finite Group Databasebeta

← Group #10694056

Character table — Group #10694056

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order122222224444444434444444466666661212121212121212888888881212121212121212242424242424242424242424242424244444444412121212121212121212121212121212888888888888888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii
χ1111111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii
χ1211111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i
χ1511111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i
χ1611111111-1-1-1-1-1-1-1-1111-1-111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii
χ17111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ18111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i1-1i−i1-1i−i11-1-1ii−i−i11-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ19111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ20111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i11-1-1ii−i−i1-1ii−i−i1-11111-1-1-1-1iiii−i−i−i−i-11−ii-11−ii-1-111−i−iii-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ21111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ22111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii1-1i−i-11−ii11-1-1ii−i−i-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ23111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ24111-1-1-11-1ii−i−iii−i−i11-1i−i1-1i−i11-1-1-11-1iiii−i−i−i−i-1-111−i−iii1-1ii−i−i1-1-1-1-1-11111−i−i−i−iiiii-11−ii1-1i−i-1-111−i−iii11-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ25111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ26111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii1-1−ii1-1−ii11-1-1−i−iii11-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ27111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ28111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii11-1-1−i−iii1-1−i−iii1-11111-1-1-1-1−i−i−i−iiiii-11i−i-11i−i-1-111ii−i−i-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ29111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ30111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i1-1−ii-11i−i11-1-1−i−iii-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ31111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ32111-1-1-11-1−i−iii−i−iii11-1−ii1-1−ii11-1-1-11-1−i−i−i−iiiii-1-111ii−i−i1-1−i−iii1-1-1-1-1-11111iiii−i−i−i−i-11i−i1-1−ii-1-111ii−i−i11-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ3322222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ3422222222222222222-2-2-2-2-2-2-2-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ372222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ382222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22-2-222-2-2222222222-2-2-2-2-2-2-2-200000000-2-22222-2-200000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4022222222-2-2-2-2-2-2-2-22-2-222-2-2222222222-2-2-2-2-2-2-2-200000000-2-22222-2-20000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4122222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-1111111112222-2-2-2-2-1-11111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-122-2-222-2-2-1-1-1-1-1-1-111111111-2-2-2-22222-1-11111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ45222-2-2-22-22i2i−2i−2i2i2i−2i−2i2-22−2i2i-22−2i2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i-2200000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ130000000000000000
χ46222-2-2-22-22i2i−2i−2i2i2i−2i−2i2-22−2i2i-22−2i2i22-2-2-22-22i2i2i2i−2i−2i−2i−2i00000000-22−2i−2i2i2i-220000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ130000000000000000
χ47222-2-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i−2i2-22i−2i-1-1111-11−i−i−i−iiiii22-2-22i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii2-22i−2i2-22i−2i-1-111−i−iii-1-111−i−iii000000000000000000000000
χ48222-2-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i−2i2-22i−2i-1-1111-11−i−i−i−iiiii22-2-22i2i−2i−2i-11−i−iii-11-1-1-1-11111−i−i−i−iiiii-22−2i2i-22−2i2i11-1-1ii−i−i11-1-1ii−i−i000000000000000000000000
χ49222-2-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i−2i2-22i−2i-1-1111-11−i−i−i−iiiii-2-222−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i2-22i−2i-22−2i2i-1-111−i−iii11-1-1ii−i−i000000000000000000000000
χ50222-2-2-22-22i2i−2i−2i2i2i−2i−2i-12-22i−2i2-22i−2i-1-1111-11−i−i−i−iiiii-2-222−2i−2i2i2i-11−i−iii-111111-1-1-1-1iiii−i−i−i−i-22−2i2i2-22i−2i11-1-1ii−i−i-1-111−i−iii000000000000000000000000
χ51222-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-222i−2i-222i−2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i-220000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ230000000000000000
χ52222-2-2-22-2−2i−2i2i2i−2i−2i2i2i2-222i−2i-222i−2i22-2-2-22-2−2i−2i−2i−2i2i2i2i2i00000000-222i2i−2i−2i-2200000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ230000000000000000
χ53222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i2i2-2−2i2i-1-1111-11iiii−i−i−i−i22-2-2−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i2-2−2i2i2-2−2i2i-1-111ii−i−i-1-111ii−i−i000000000000000000000000
χ54222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i2i2-2−2i2i-1-1111-11iiii−i−i−i−i22-2-2−2i−2i2i2i-11ii−i−i-11-1-1-1-11111iiii−i−i−i−i-222i−2i-222i−2i11-1-1−i−iii11-1-1−i−iii000000000000000000000000
χ55222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i2i2-2−2i2i-1-1111-11iiii−i−i−i−i-2-2222i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii2-2−2i2i-222i−2i-1-111ii−i−i11-1-1−i−iii000000000000000000000000
χ56222-2-2-22-2−2i−2i2i2i−2i−2i2i2i-12-2−2i2i2-2−2i2i-1-1111-11iiii−i−i−i−i-2-2222i2i−2i−2i-11ii−i−i-111111-1-1-1-1−i−i−i−iiiii-222i−2i2-2−2i2i11-1-1−i−iii-1-111ii−i−i000000000000000000000000
χ572-2-222-22-22i2i−2i−2i−2i−2i2i2i22-22i−2i-22−2i2i-2-222-22-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-22000000000000000000000000000000000000000000000000−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ2300000000
χ582-2-222-22-22i2i−2i−2i−2i−2i2i2i22-22i−2i-22−2i2i-2-222-22-22i2i−2i−2i2i2i−2i−2i000000002-22i−2i2i−2i-220000000000000000000000000000000000000000000000002ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ2300000000
χ592-2-222-22-22i2i−2i−2i−2i−2i2i2i2-22−2i2i2-22i−2i-2-222-22-22i2i−2i−2i2i2i−2i−2i2-22-22i−2i2i−2i-22−2i2i−2i2i2-222-2-222-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ602-2-222-22-22i2i−2i−2i−2i−2i2i2i2-22−2i2i2-22i−2i-2-222-22-22i2i−2i−2i2i2i−2i−2i-22-22−2i2i−2i2i-22−2i2i−2i2i2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ612-2-222-22-22i2i−2i−2i−2i−2i2i2i-1-22−2i2i2-22i−2i11-1-11-11−i−iii−i−iii2-22-22i−2i2i−2i1-1i−ii−i-11-1-111-1-111−i−iii−i−iii00000000−i3i3−i3i33−33−3−i3i3−i3i33−33−3000000000000000000000000
χ622-2-222-22-22i2i−2i−2i−2i−2i2i2i-1-22−2i2i2-22i−2i11-1-11-11−i−iii−i−iii2-22-22i−2i2i−2i1-1i−ii−i-11-1-111-1-111−i−iii−i−iii00000000i3−i3i3−i3−33−33i3−i3i3−i3−33−33000000000000000000000000
χ632-2-222-22-22i2i−2i−2i−2i−2i2i2i-1-22−2i2i2-22i−2i11-1-11-11−i−iii−i−iii-22-22−2i2i−2i2i1-1i−ii−i-1111-1-111-1-1ii−i−iii−i−i00000000−i3i3−i3i33−33−3i3−i3i3−i3−33−33000000000000000000000000
χ642-2-222-22-22i2i−2i−2i−2i−2i2i2i-1-22−2i2i2-22i−2i11-1-11-11−i−iii−i−iii-22-22−2i2i−2i2i1-1i−ii−i-1111-1-111-1-1ii−i−iii−i−i00000000i3−i3i3−i3−33−33−i3i3−i3i33−33−3000000000000000000000000
χ652-2-222-22-2−2i−2i2i2i2i2i−2i−2i22-2−2i2i-222i−2i-2-222-22-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-220000000000000000000000000000000000000000000000002ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ1300000000
χ662-2-222-22-2−2i−2i2i2i2i2i−2i−2i22-2−2i2i-222i−2i-2-222-22-2−2i−2i2i2i−2i−2i2i2i000000002-2−2i2i−2i2i-22000000000000000000000000000000000000000000000000−2ζ7−2ζ232ζ7+2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ5+2ζ13−2ζ5−2ζ1300000000
χ672-2-222-22-2−2i−2i2i2i2i2i−2i−2i2-222i−2i2-2−2i2i-2-222-22-2−2i−2i2i2i−2i−2i2i2i2-22-2−2i2i−2i2i-222i−2i2i−2i2-222-2-222-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ682-2-222-22-2−2i−2i2i2i2i2i−2i−2i2-222i−2i2-2−2i2i-2-222-22-2−2i−2i2i2i−2i−2i2i2i-22-222i−2i2i−2i-222i−2i2i−2i2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ692-2-222-22-2−2i−2i2i2i2i2i−2i−2i-1-222i−2i2-2−2i2i11-1-11-11ii−i−iii−i−i2-22-2−2i2i−2i2i1-1−ii−ii-11-1-111-1-111ii−i−iii−i−i00000000−i3i3−i3i3−33−33−i3i3−i3i3−33−33000000000000000000000000
χ702-2-222-22-2−2i−2i2i2i2i2i−2i−2i-1-222i−2i2-2−2i2i11-1-11-11ii−i−iii−i−i2-22-2−2i2i−2i2i1-1−ii−ii-11-1-111-1-111ii−i−iii−i−i00000000i3−i3i3−i33−33−3i3−i3i3−i33−33−3000000000000000000000000
χ712-2-222-22-2−2i−2i2i2i2i2i−2i−2i-1-222i−2i2-2−2i2i11-1-11-11ii−i−iii−i−i-22-222i−2i2i−2i1-1−ii−ii-1111-1-111-1-1−i−iii−i−iii00000000−i3i3−i3i3−33−33i3−i3i3−i33−33−3000000000000000000000000
χ722-2-222-22-2−2i−2i2i2i2i2i−2i−2i-1-222i−2i2-2−2i2i11-1-11-11ii−i−iii−i−i-22-222i−2i2i−2i1-1−ii−ii-1111-1-111-1-1−i−iii−i−iii00000000i3−i3i3−i33−33−3−i3i3−i3i3−33−33000000000000000000000000
χ732-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222-2-2-2-22200000000222-2-22-2-20000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ742-2-2-2-22222222-2-2-2-222222-2-2-2-2-2-2-2-222222-2-2-2-22200000000222-2-22-2-2000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ752-2-2-2-22222222-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2-2-2222-2-222-2-22-2-2-222-22222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ762-2-2-2-22222222-2-2-2-22-2-2-2-22222-2-2-2-222222-2-2-2-222-222-2-222-2-2-2-222-222-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ772-2-2-2-22222222-2-2-2-2-1-2-2-2-222221111-1-1-1-1-11111-1-12-2-222-2-22111-1-11-1-1-1-11111-1-1-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ782-2-2-2-22222222-2-2-2-2-1-2-2-2-222221111-1-1-1-1-11111-1-12-2-222-2-22111-1-11-1-1-1-11111-1-1-1-11111-1-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ792-2-2-2-22222222-2-2-2-2-1-2-2-2-222221111-1-1-1-1-11111-1-1-222-2-222-2111-1-11-1-111-1-1-1-11111-1-1-1-11100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ802-2-2-2-22222222-2-2-2-2-1-2-2-2-222221111-1-1-1-1-11111-1-1-222-2-222-2111-1-11-1-111-1-1-1-11111-1-1-1-11100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ812-2-2-2-2222-2-2-2-22222222-2-2-2-222-2-2-2-2222-2-22222-2-20000000022-222-2-2-20000000000000000000000000000000000000000000000002-2-222-2-2200000000
χ822-2-2-2-2222-2-2-2-22222222-2-2-2-222-2-2-2-2222-2-22222-2-20000000022-222-2-2-2000000000000000000000000000000000000000000000000-222-2-222-200000000
χ832-2-2-2-2222-2-2-2-222222-2-22222-2-2-2-2-2-2222-2-22222-2-22-2-22-222-2-2-22-2-222222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ842-2-2-2-2222-2-2-2-222222-2-22222-2-2-2-2-2-2222-2-22222-2-2-222-22-2-22-2-22-2-2222-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ852-2-2-2-2222-2-2-2-22222-1-2-22222-2-21111-1-1-111-1-1-1-1112-2-22-222-211-111-1-1-1-1-11111-1-111-1-1-1-11100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ862-2-2-2-2222-2-2-2-22222-1-2-22222-2-21111-1-1-111-1-1-1-1112-2-22-222-211-111-1-1-1-1-11111-1-111-1-1-1-11100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ872-2-2-2-2222-2-2-2-22222-1-2-22222-2-21111-1-1-111-1-1-1-111-222-22-2-2211-111-1-1-111-1-1-1-111-1-11111-1-100000000−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
χ882-2-2-2-2222-2-2-2-22222-1-2-22222-2-21111-1-1-111-1-1-1-111-222-22-2-2211-111-1-1-111-1-1-1-111-1-11111-1-100000000i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ894444444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000222222220000000000000000000000000000000000000000000000000000000000000000
χ9044444444-4-4-4-4-4-4-4-4-2-4-444-4-444-2-2-2-2-2-2-2222222220000000022-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ91444-4-4-44-44i4i−4i−4i4i4i−4i−4i-2-44−4i4i-44−4i4i-2-2222-22−2i−2i−2i−2i2i2i2i2i000000002-22i2i−2i−2i2-20000000000000000000000000000000000000000000000000000000000000000
χ92444-4-4-44-4−4i−4i4i4i−4i−4i4i4i-2-444i−4i-444i−4i-2-2222-222i2i2i2i−2i−2i−2i−2i000000002-2−2i−2i2i2i2-20000000000000000000000000000000000000000000000000000000000000000
χ9344-44-44-4-44-44-44-44-44000000004-44-44-4-44-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444-44-44-4-44-44-44-44-4-200000000-22-22-222-22-22-22-220000000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000000000000000
χ9544-44-44-4-44-44-44-44-4-200000000-22-22-222-22-22-22-220000000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000000000000000
χ9644-44-44-4-4-44-44-44-444000000004-44-44-4-4-44-44-44-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9744-44-44-4-4-44-44-44-44-200000000-22-22-2222-22-22-22-20000000000000000i6−i6i6−i6i6−i6i6−i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000000000000000000
χ9844-44-44-4-4-44-44-44-44-200000000-22-22-2222-22-22-22-20000000000000000−i6i6−i6i6−i6i6−i6i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000000000000000000
χ9944-4-44-4-444i−4i−4i4i4i−4i−4i4i4000000004-4-44-4-444i−4i4i−4i−4i4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10044-4-44-4-444i−4i−4i4i4i−4i−4i4i-200000000-222-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000i6−i6i6−i6−i6i6−i6i6−66−666−66−6000000000000000000000000000000000000000000000000
χ10144-4-44-4-444i−4i−4i4i4i−4i−4i4i-200000000-222-222-2−2i2i−2i2i2i−2i2i−2i0000000000000000−i6i6−i6i6i6−i6i6−i66−66−6−66−66000000000000000000000000000000000000000000000000
χ10244-4-44-4-44−4i4i4i−4i−4i4i4i−4i4000000004-4-44-4-44−4i4i−4i4i4i−4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ10344-4-44-4-44−4i4i4i−4i−4i4i4i−4i-200000000-222-222-22i−2i2i−2i−2i2i−2i2i0000000000000000i6−i6i6−i6−i6i6−i6i66−66−6−66−66000000000000000000000000000000000000000000000000
χ10444-4-44-4-44−4i4i4i−4i−4i4i4i−4i-200000000-222-222-22i−2i2i−2i−2i2i−2i2i0000000000000000−i6i6−i6i6i6−i6i6−i6−66−666−66−6000000000000000000000000000000000000000000000000
χ1054-444-4-4-444i−4i−4i4i−4i4i4i−4i400000000-444-4-4-444i−4i−4i4i4i−4i−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-4-444i−4i−4i4i−4i4i4i−4i-2000000002-2-2222-2−2i2i2i−2i−2i2i2i−2i0000000000000000i6−i6−i6i6i6−i6−i6i6−666−6−666−6000000000000000000000000000000000000000000000000
χ1074-444-4-4-444i−4i−4i4i−4i4i4i−4i-2000000002-2-2222-2−2i2i2i−2i−2i2i2i−2i0000000000000000−i6i6i6−i6−i6i6i6−i66−6−666−6−66000000000000000000000000000000000000000000000000
χ1084-444-4-4-44−4i4i4i−4i4i−4i−4i4i400000000-444-4-4-44−4i4i4i−4i−4i4i4i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1094-444-4-4-44−4i4i4i−4i4i−4i−4i4i-2000000002-2-2222-22i−2i−2i2i2i−2i−2i2i0000000000000000i6−i6−i6i6i6−i6−i6i66−6−666−6−66000000000000000000000000000000000000000000000000
χ1104-444-4-4-44−4i4i4i−4i4i−4i−4i4i-2000000002-2-2222-22i−2i−2i2i2i−2i−2i2i0000000000000000−i6i6i6−i6−i6i6i6−i6−666−6−666−6000000000000000000000000000000000000000000000000
χ1114-44-444-4-44-44-4-44-44400000000-44-444-4-44-4-44-444-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-444-4-44-44-4-44-44-2000000002-22-2-222-222-22-2-220000000000000000i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000000000000000
χ1134-44-444-4-44-44-4-44-44-2000000002-22-2-222-222-22-2-220000000000000000−i6i6i6−i6i6−i6−i6i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000000000000000
χ1144-44-444-4-4-44-444-44-4400000000-44-444-4-4-444-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-444-4-4-44-444-44-4-2000000002-22-2-2222-2-22-222-20000000000000000i6−i6−i6i6−i6i6i6−i6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000000000000000
χ1164-44-444-4-4-44-444-44-4-2000000002-22-2-2222-2-22-222-20000000000000000−i6i6i6−i6i6−i6−i6i6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000000000000000
χ1174-4-444-44-44i4i−4i−4i−4i−4i4i4i-24-44i−4i-44−4i4i22-2-22-22−2i−2i2i2i−2i−2i2i2i00000000-22−2i2i−2i2i2-20000000000000000000000000000000000000000000000000000000000000000
χ1184-4-444-44-4−4i−4i4i4i4i4i−4i−4i-24-4−4i4i-444i−4i22-2-22-222i2i−2i−2i2i2i−2i−2i00000000-222i−2i2i−2i2-20000000000000000000000000000000000000000000000000000000000000000
χ1194-4-4-4-44444444-4-4-4-4-24444-4-4-4-42222-2-2-2-2-22222-2-200000000-2-2-222-2220000000000000000000000000000000000000000000000000000000000000000
χ1204-4-4-4-4444-4-4-4-44444-244-4-4-4-4442222-2-2-222-2-2-2-22200000000-2-22-2-22220000000000000000000000000000000000000000000000000000000000000000

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