Finite Group Databasebeta

← Group #11787153

Character table — Group #11787153

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212181818181818181836363636
order12222222444444443366666666666666121212121212121212121212121212123444466666661212121212121212121212121212121212121212121212121212121212121212121212121212121222224444888888882244666666668888121212121212121224242424242424242424242424242424888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1iiii−i−i−i−i11-1-111111111ii−i−i-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i
χ1011111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−i−i−iiiii11-1-111111111−i−iii-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−iii
χ1111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-111-1-1-1-1-1-1-1-1ii−i−i11111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−iii
χ1211111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-111-1-1-1-1-1-1-1-1−i−iii11111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iii−i−i
χ1311111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1iiii−i−i−i−i-1-1111111-1-1-1-1−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii
χ1411111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−i−i−iiiii-1-1111111-1-1-1-1ii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i
χ1511111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111iiii−i−i−i−i11-1-1-1-1-1-11111−i−iii1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiii−i−i
χ1611111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−i−i−iiiii11-1-1-1-1-1-11111ii−i−i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−iii
χ17111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i11-1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i11-1-111-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−iii−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+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ18111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i11-1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i11-1-111-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−iii−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−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ19111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i11-1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−ii-1-111-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iii−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−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ20111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i11-1i−i11-1-11-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii-1-111-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iii−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+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ21111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i1-11−ii11-1-11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−iζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13-11−ii11-1-1-1-111−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ii−i−i−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+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ22111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i1-11−ii11-1-11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13-11−ii11-1-1-1-111ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ii−i−i−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−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ23111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i1-11−ii11-1-11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iiiζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ131-1i−i-1-11111-1-1−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−i−iiiii−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−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ24111-1-11-1-1i−ii−ii−ii−i1111-1-111-1-11-1-11-1-1ii−i−iiiii−i−i−i−iii−i−i1-11−ii11-1-11-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ131-1i−i-1-11111-1-1ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−i−iiiii−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+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ25111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii11-1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii11-1-111-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iii−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−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ26111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii11-1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii11-1-111-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iii−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+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ27111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii11-1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i-1-111-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−iii−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+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ28111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii11-1−ii11-1-11-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−i-1-111-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−iii−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−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ29111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii1-11i−i11-1-11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23-11i−i11-1-1-1-111ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−i−iiiii−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−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ30111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii1-11i−i11-1-11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iiiζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23-11i−i11-1-1-1-111−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−i−iiiii−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+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ31111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii1-11i−i11-1-11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ231-1−ii-1-11111-1-1ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ii−i−i−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+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23
χ32111-1-11-1-1−ii−ii−ii−ii1111-1-111-1-11-1-11-1-1−i−iii−i−i−i−iiiii−i−iii1-11i−i11-1-11-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−iζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ231-1−ii-1-11111-1-1−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ii−i−i−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−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23
χ3322222222222222222-12222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222000000002222-1-1-1-1-1-1-1-10000-1-1-1-1-1-1-1-10000000000000000000000000000
χ3422222222222222222-12222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-12222-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-200000000-2-2-2-2111111110000111111110000000000000000000000000000
χ3522222222222222222-12222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-111111111111111112222222200000000-2-2-2-2-1-1-1-111110000-1-1-1-111110000000000000000000000000000
χ3622222222222222222-12222-1-1-1-1222-1-1-12222-1-1-1-1-1-1-1-12222-1-2-2-2-2-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-20000000022221111-1-1-1-100001111-1-1-1-10000000000000000000000000000
χ372222222222222222-12-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022222222000000000000222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ382222222222222222-12-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-2000000000000-2-2-2-2000000001111111111111111000000000000
χ392222222222222222-12-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-111111111111111110000000022222222000000000000-2-2-2-200000000-1-1-1-1-1-1-1-111111111000000000000
χ402222222222222222-12-1-1-1-12222-1-1-1222-1-1-1-122222222-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-111-2-211-2-211-2-211-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-2-2-2-200000000000022220000000011111111-1-1-1-1-1-1-1-1000000000000
χ4122222222-2-2-2-2-2-2-2-22-12222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-2-2-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-1111111112222-2-2-2-20000000022-2-2-1-1-1-1-1-1-1-10000111111110000000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-22-12222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-122-2-2-1-1-1-1-1-1-122-1-122-1-1-2-211-2-21111111111-1-1-1-1-1-1-1-111111111-2-2-2-2222200000000-2-222111111110000-1-1-1-1-1-1-1-10000000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-22-12222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-11111111111111111-1-1-1-1-1-1-1-12222-2-2-2-200000000-2-222-1-1-1-1111100001111-1-1-1-10000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-22-12222-1-1-1-1222-1-1-1-2-2-2-211111111-2-2-2-2-1-2-222-1-1-1-1-1-1-1-2-211-2-21122-1-122-1-11111111111111111-1-1-1-1-1-1-1-1-2-2-2-222220000000022-2-21111-1-1-1-10000-1-1-1-111110000000000000000000000000000
χ4522222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-122-2-2-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-1-1-1-1-111111111000000002i2i2i2i−2i−2i−2i−2i0000000000002i2i−2i−2i00000000−i−i−i−iiiii−i−i−i−iiiii000000000000
χ4622222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-122-2-2-1-1-1-1-1-1-1-1-122-1-12211-2-211-2-211111111-1-1-1-1-1-1-1-11111111100000000−2i−2i−2i−2i2i2i2i2i000000000000−2i−2i2i2i00000000iiii−i−i−i−iiiii−i−i−i−i000000000000
χ4722222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-1-2-222-1-1-1-1-1-1-111-2-211-2-2-1-122-1-1221111111111111111-1-1-1-1-1-1-1-1000000002i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i00000000−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ4822222222-2-2-2-2-2-2-2-2-12-1-1-1-12222-1-1-12221111-2-2-2-2-2-2-2-21111-1-2-222-1-1-1-1-1-1-111-2-211-2-2-1-122-1-1221111111111111111-1-1-1-1-1-1-1-100000000−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i00000000iiii−i−i−i−i−i−i−i−iiiii000000000000
χ49222-2-22-2-22i−2i2i−2i2i−2i2i−2i2-122-2-2-1-1112-2-2-1112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-12-22i−2i-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii22-2-22i2i−2i−2i000000002-22i−2i-1-111-1-1110000−i−iii−i−iii0000000000000000000000000000
χ50222-2-22-2-22i−2i2i−2i2i−2i2i−2i2-122-2-2-1-1112-2-2-1112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-12-22i−2i-1-111-11122-1-1-2-2112i2i−i−i−2i−2iii−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii-2-222−2i−2i2i2i00000000-22−2i2i11-1-111-1-10000ii−i−iii−i−i0000000000000000000000000000
χ51222-2-22-2-22i−2i2i−2i2i−2i2i−2i2-122-2-2-1-1112-2-2-1112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-1-22−2i2i-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i22-2-22i2i−2i−2i00000000-22−2i2i-1-11111-1-10000−i−iiiii−i−i0000000000000000000000000000
χ52222-2-22-2-22i−2i2i−2i2i−2i2i−2i2-122-2-2-1-1112-2-2-1112i2i−2i−2i−i−i−i−iiiii2i2i−2i−2i-1-22−2i2i-1-111-111-2-21122-1-1−2i−2iii2i2i−i−i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i-2-222−2i−2i2i2i000000002-22i−2i11-1-1-1-1110000ii−i−i−i−iii0000000000000000000000000000
χ53222-2-22-2-22i−2i2i−2i2i−2i2i−2i-12-1-11122-2-2-1112-2-2−i−iii2i2i2i2i−2i−2i−2i−2i−i−iii-12-22i−2i-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000
χ54222-2-22-2-22i−2i2i−2i2i−2i2i−2i-12-1-11122-2-2-1112-2-2−i−iii2i2i2i2i−2i−2i−2i−2i−i−iii-12-22i−2i-1-111-111-1-12211-2-2−i−i2i2iii−2i−2i−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii00000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000
χ55222-2-22-2-22i−2i2i−2i2i−2i2i−2i-12-1-11122-2-2-1112-2-2−i−iii2i2i2i2i−2i−2i−2i−2i−i−iii-1-22−2i2i-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i000000002ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ13000000000000−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ1300000000−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13000000000000
χ56222-2-22-2-22i−2i2i−2i2i−2i2i−2i-12-1-11122-2-2-1112-2-2−i−iii2i2i2i2i−2i−2i−2i−2i−i−iii-1-22−2i2i-1-111-11111-2-2-1-122ii−2i−2i−i−i2i2i−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i00000000−2ζ7−2ζ23−2ζ7−2ζ232ζ7+2ζ232ζ7+2ζ232ζ5+2ζ132ζ5+2ζ13−2ζ5−2ζ13−2ζ5−2ζ130000000000002ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ1300000000ζ7+ζ23ζ7+ζ23−ζ7−ζ23−ζ7−ζ23−ζ5−ζ13−ζ5−ζ13ζ5+ζ13ζ5+ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13000000000000
χ57222-2-22-2-2−2i2i−2i2i−2i2i−2i2i2-122-2-2-1-1112-2-2-111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-12-2−2i2i-1-111-11122-1-1-2-211−2i−2iii2i2i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i22-2-2−2i−2i2i2i000000002-2−2i2i-1-111-1-1110000ii−i−iii−i−i0000000000000000000000000000
χ58222-2-22-2-2−2i2i−2i2i−2i2i−2i2i2-122-2-2-1-1112-2-2-111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-12-2−2i2i-1-111-11122-1-1-2-211−2i−2iii2i2i−i−iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i-2-2222i2i−2i−2i00000000-222i−2i11-1-111-1-10000−i−iii−i−iii0000000000000000000000000000
χ59222-2-22-2-2−2i2i−2i2i−2i2i−2i2i2-122-2-2-1-1112-2-2-111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-1-222i−2i-1-111-111-2-21122-1-12i2i−i−i−2i−2iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii22-2-2−2i−2i2i2i00000000-222i−2i-1-11111-1-10000ii−i−i−i−iii0000000000000000000000000000
χ60222-2-22-2-2−2i2i−2i2i−2i2i−2i2i2-122-2-2-1-1112-2-2-111−2i−2i2i2iiiii−i−i−i−i−2i−2i2i2i-1-222i−2i-1-111-111-2-21122-1-12i2i−i−i−2i−2iiiiiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-2-2222i2i−2i−2i000000002-2−2i2i11-1-1-1-1110000−i−iiiii−i−i0000000000000000000000000000
χ61222-2-22-2-2−2i2i−2i2i−2i2i−2i2i-12-1-11122-2-2-1112-2-2ii−i−i−2i−2i−2i−2i2i2i2i2iii−i−i-12-2−2i2i-1-111-111-1-12211-2-2ii−2i−2i−i−i2i2iiiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i00000000−2ζ5−2ζ13−2ζ5−2ζ132ζ5+2ζ132ζ5+2ζ132ζ7+2ζ232ζ7+2ζ23−2ζ7−2ζ23−2ζ7−2ζ23000000000000−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ2300000000ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23ζ5+ζ13ζ5+ζ13−ζ5−ζ13−ζ5−ζ13−ζ7−ζ23−ζ7−ζ23ζ7+ζ23ζ7+ζ23000000000000
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χ1604-4-4444-4-4−4i4i4i−4i4i−4i−4i4i-2422-2-2-4-444-2224-4-42i−2i2i−2i−4i4i4i−4i−4i4i4i−4i−2i2i−2i2i-2000022-2-2-22200000000000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1614-4-4444-4-4−4i4i4i−4i4i−4i−4i4i-2-222-2-222-2-2-222-2222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i10000-1-1111-1-100−2i32i300−2i32i300−232300−2323−iii−i−iii−ii3−i3i3−i3i3−i3i3−i33−33−33−33−300000000000000000000000000000000000000000000000000000000000000000000
χ1624-4-4444-4-4−4i4i4i−4i4i−4i−4i4i-2-222-2-222-2-2-222-2222i−2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i10000-1-1111-1-1002i3−2i3002i3−2i30023−230023−23−iii−i−iii−i−i3i3−i3i3−i3i3−i3i3−33−33−33−3300000000000000000000000000000000000000000000000000000000000000000000
χ1634-4-4-4-444444-4-4-4-444-242222-4-4-4-4-2-2-2444-222-24-4-44-444-42-2-22-200002222-2-2-20000000000000000-222-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1644-4-4-4-444444-4-4-4-444-2-222222222-2-2-2-2-2-2-222-2-222-22-2-222-2-2210000-1-1-1-111100−2i32i3002i3−2i300−2i32i3002i3−2i31-1-11-111-1i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000000000000000
χ1654-4-4-4-444444-4-4-4-444-2-222222222-2-2-2-2-2-2-222-2-222-22-2-222-2-2210000-1-1-1-1111002i3−2i300−2i32i3002i3−2i300−2i32i31-1-11-111-1−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000000000
χ1664-4-4-4-4444-4-44444-4-4-242222-4-4-4-4-2-2-24442-2-22-444-44-4-44-222-2-200002222-2-2-200000000000000002-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1674-4-4-4-4444-4-44444-4-4-2-222222222-2-2-2-2-2-22-2-222-2-22-222-2-222-210000-1-1-1-111100−2i32i3002i3−2i3002i3−2i300−2i32i3-111-11-1-11i3−i3i3−i3−i3i3−i3i3−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000000000000000000000000000000000000
χ1684-4-4-4-4444-4-44444-4-4-2-222222222-2-2-2-2-2-22-2-222-2-22-222-2-222-210000-1-1-1-1111002i3−2i300−2i32i300−2i32i3002i3−2i3-111-11-1-11−i3i3−i3i3i3−i3i3−i3i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000000000000000000000000000000000000

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