Finite Group Databasebeta

← Group #10690521

Character table — Group #10690521

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111111111112222222222222222222222222222222222222222444444444444444444444444666666666666666666666666666666668888888888888888888888882424242424242424
order12222222444444442222344444444444444444444666666612121212121212126666121212121212121212121212121212121212121288888888888888888888888888888888888888882424242424242424242424242424242422444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ61111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ71111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1
χ81111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ911111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1
χ1011111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111
χ1111111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111
χ1211111111-1-1-1-1-1-1-1-1111111111-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1
χ1711-11-11-1-1ii−i−iii−i−i11-1-1111-1-1i−i11-1-1ii−i−iii−i−ii−i11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-11-1i−ii−i
χ1811-11-11-1-1ii−i−iii−i−i11-1-1111-1-1i−i11-1-1ii−i−iii−i−ii−i11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−iζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11-11−ii−ii
χ1911-11-11-1-1ii−i−iii−i−i11-1-1111-1-1i−i11-1-1ii−i−iii−i−ii−i11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11-11−ii−ii
χ2011-11-11-1-1ii−i−iii−i−i11-1-1111-1-1i−i11-1-1ii−i−iii−i−ii−i11-1-11-1-1ii−i−iii−i−i11-1-111-1-1ii−i−i11-1-1iiii−i−i−i−i−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-11-1i−ii−i
χ2111-11-11-1-1ii−i−iii−i−i-1-111111-1-1i−i-1-111−i−iii−i−iiii−i11-1-11-1-1ii−i−iii−i−i-1-11111-1-1ii−i−i-1-111−i−i−i−iiiiiζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1-11−iii−i
χ2211-11-11-1-1ii−i−iii−i−i-1-111111-1-1i−i-1-111−i−iii−i−iiii−i11-1-11-1-1ii−i−iii−i−i-1-11111-1-1ii−i−i-1-111−i−i−i−iiiiiζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-111-1i−i−ii
χ2311-11-11-1-1ii−i−iii−i−i-1-111111-1-1i−i-1-111−i−iii−i−iiii−i11-1-11-1-1ii−i−iii−i−i-1-11111-1-1ii−i−i-1-111−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-111-1i−i−ii
χ2411-11-11-1-1ii−i−iii−i−i-1-111111-1-1i−i-1-111−i−iii−i−iiii−i11-1-11-1-1ii−i−iii−i−i-1-11111-1-1ii−i−i-1-111−i−i−i−iiiii−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1-11−iii−i
χ2511-11-11-1-1−i−iii−i−iii11-1-1111-1-1−ii11-1-1−i−iii−i−iii−ii11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-11-1−ii−ii
χ2611-11-11-1-1−i−iii−i−iii11-1-1111-1-1−ii11-1-1−i−iii−i−iii−ii11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiii−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11-11i−ii−i
χ2711-11-11-1-1−i−iii−i−iii11-1-1111-1-1−ii11-1-1−i−iii−i−iii−ii11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11-11i−ii−i
χ2811-11-11-1-1−i−iii−i−iii11-1-1111-1-1−ii11-1-1−i−iii−i−iii−ii11-1-11-1-1−i−iii−i−iii11-1-111-1-1−i−iii11-1-1−i−i−i−iiiiiζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-11-1−ii−ii
χ2911-11-11-1-1−i−iii−i−iii-1-111111-1-1−ii-1-111ii−i−iii−i−i−ii11-1-11-1-1−i−iii−i−iii-1-11111-1-1−i−iii-1-111iiii−i−i−i−i−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1-11i−i−ii
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χ1152-2-2-2-22222222-2-2-2-2-222-2200000000000000-222-200-22-22-22-22222-2-2-2-2-222-2000000000000-22002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000000000000000000000000000
χ1162-2-2-2-22222222-2-2-2-2-222-2200000000000000-222-200-22-22-22-22222-2-2-2-2-222-2000000000000-22002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000000000000000000000000000
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χ1182-2-2-2-2222-2-2-2-222222-2-22200000000000000-222-200-22-22-22-2-2-2-2-222222-2-22000000000000-22002-200−222−22−2−22−222−22−2−22−222−22−2−222−2−22−222−200000000000000000000000000000000
χ1192-2-2-2-2222-2-2-2-22222-222-22000000000000002-2-2200-22-22-22-2-2-2-2-22222-222-20000000000002-200-22002−2−22−222−22−2−22−222−2−222−22−2−222−2−22−222−200000000000000000000000000000000
χ1202-2-2-2-2222-2-2-2-22222-222-22000000000000002-2-2200-22-22-22-2-2-2-2-22222-222-20000000000002-200-2200−222−22−2−22−222−22−2−222−2−22−222−2−222−22−2−2200000000000000000000000000000000
χ121444-4-4-4-444-44-44-44-40000-20000004i−4i4i−4i4i−4i4i−4i000000-22-222-22-22-22-22-22000000000000−2i2i−2i2i00−2i2i00−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ122444-4-4-4-444-44-44-44-40000-2000000−4i4i−4i4i−4i4i−4i4i000000-22-222-22-22-22-22-220000000000002i−2i2i−2i002i−2i002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ123444-4-4-4-44-44-44-44-440000-20000004i−4i4i−4i−4i4i−4i4i000000-22-222-222-22-22-22-2000000000000−2i2i−2i2i002i−2i002i−2i0000000000000000000000000000000000000000000000000000000000000000
χ124444-4-4-4-44-44-44-44-440000-2000000−4i4i−4i4i4i−4i4i−4i000000-22-222-222-22-22-22-20000000000002i−2i2i−2i00−2i2i00−2i2i0000000000000000000000000000000000000000000000000000000000000000
χ12544-4-44-44-44i−4i−4i4i4i−4i−4i4i0000-20000004i−4i−4i4i-444-4000000-222-222-2−2i2i2i−2i−2i2i2i−2i000000000000−2i2i2i−2i002-200-220000000000000000000000000000000000000000000000000000000000000000
χ12644-4-44-44-44i−4i−4i4i4i−4i−4i4i0000-2000000−4i4i4i−4i4-4-44000000-222-222-2−2i2i2i−2i−2i2i2i−2i0000000000002i−2i−2i2i00-22002-20000000000000000000000000000000000000000000000000000000000000000
χ12744-4-44-44-4−4i4i4i−4i−4i4i4i−4i0000-20000004i−4i−4i4i4-4-44000000-222-222-22i−2i−2i2i2i−2i−2i2i000000000000−2i2i2i−2i00-22002-20000000000000000000000000000000000000000000000000000000000000000
χ12844-4-44-44-4−4i4i4i−4i−4i4i4i−4i0000-2000000−4i4i4i−4i-444-4000000-222-222-22i−2i−2i2i2i−2i−2i2i0000000000002i−2i−2i2i002-200-220000000000000000000000000000000000000000000000000000000000000000
χ1294-444-4-44-44i−4i−4i4i−4i4i4i−4i0000-24-44-44i−4i000000000000−4i4i22-2-2-222−2i2i2i−2i2i−2i−2i2i0000-22-22−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-444-4-44-44i−4i−4i4i−4i4i4i−4i0000-2-44-44−4i4i0000000000004i−4i22-2-2-222−2i2i2i−2i2i−2i−2i2i00002-22-22i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-444-4-44-4−4i4i4i−4i4i−4i−4i4i0000-24-44-4−4i4i0000000000004i−4i22-2-2-2222i−2i−2i2i−2i2i2i−2i0000-22-222i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-444-4-44-4−4i4i4i−4i4i−4i−4i4i0000-2-44-444i−4i000000000000−4i4i22-2-2-2222i−2i−2i2i−2i2i2i−2i00002-22-2−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-444-4-44i4i−4i−4i−4i−4i4i4i4-44-4-2000000000000004i−4i4i−4i002-2-2222-2−2i−2i2i2i2i2i−2i−2i-22-22000000000000−2i2i00−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-444-4-44i4i−4i−4i−4i−4i4i4i-44-44-200000000000000−4i4i−4i4i002-2-2222-2−2i−2i2i2i2i2i−2i−2i2-22-20000000000002i−2i002i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1354-44-444-4-4−4i−4i4i4i4i4i−4i−4i4-44-4-200000000000000−4i4i−4i4i002-2-2222-22i2i−2i−2i−2i−2i2i2i-22-220000000000002i−2i002i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1364-44-444-4-4−4i−4i4i4i4i4i−4i−4i-44-44-2000000000000004i−4i4i−4i002-2-2222-22i2i−2i−2i−2i−2i2i2i2-22-2000000000000−2i2i00−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-444-4-444-44-4-44-440000-24-4-4444000000000000-4-42222-2-2-2-22-222-22-20000-222-2-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-444-4-444-44-4-44-440000-2-444-4-4-4000000000000442222-2-2-2-22-222-22-200002-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1394-4-444-4-44-44-444-44-40000-24-4-44-4-4000000000000442222-2-2-22-22-2-22-220000-222-22-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1404-4-444-4-44-44-444-44-40000-2-444-444000000000000-4-42222-2-2-22-22-2-22-2200002-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-4-4-44444444-4-4-4-44-4-44-2000000000000004-4-44002-22-22-22-2-2-2-22222-222-2000000000000-22002-2000000000000000000000000000000000000000000000000000000000000000000
χ1424-4-4-4-44444444-4-4-4-4-444-4-200000000000000-444-4002-22-22-22-2-2-2-222222-2-220000000000002-200-22000000000000000000000000000000000000000000000000000000000000000000
χ1434-4-4-4-4444-4-4-4-444444-4-44-200000000000000-444-4002-22-22-222222-2-2-2-2-222-20000000000002-200-22000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-4-4444-4-4-4-44444-444-4-2000000000000004-4-44002-22-22-222222-2-2-2-22-2-22000000000000-22002-2000000000000000000000000000000000000000000000000000000000000000000

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