Finite Group Databasebeta

← Group #10629524

Character table — Group #10629524

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174
size111111111111222222222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444888888888888888888888888888888888888888888888888
order12334466121212122222222444444466666666666666121212121212121212121212121244444444888888888888888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444444888888881212121212121212121212121212121224242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ8111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i
χ1011111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-1-111−i−iii-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiii
χ1111111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii11-1-1ii−i−i-1-111−i−iii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii
χ1211111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-111−i−iii11-1-1ii−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−i
χ1311111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii11-1-1−i−iii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii
χ1411111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-1-111ii−i−i-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i
χ1511111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i11-1-1−i−iii-1-111ii−i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i
χ1611111111111111-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii
χ171111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i11-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ181111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii-1-111-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ191111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii11-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ201111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i-1-111-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ211111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii1-11-1-11-11i−ii−i−ii−ii11-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii
χ221111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-1-1-11111-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-11-111-11-1−ii−iii−ii−i-1-111-1-11111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i
χ231111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i1-11-1-11-11−ii−iii−ii−i11-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i
χ241111-1-111-1-1-1-11111111-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-1-1-11111-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-11-111-11-1i−ii−i−ii−ii-1-111-1-11111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii
χ251111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11i−i−iii−i−ii-111-111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1
χ261111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-1−iii−i−iii−i1-1-11-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111
χ271111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-11i−i−ii−iii−i1-1-1111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111
χ281111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1−iii−ii−i−ii-111-1-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1
χ291111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-11−iii−ii−i−ii1-1-1111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111
χ301111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1i−i−ii−iii−i-111-1-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1
χ311111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11−iii−i−iii−i-111-111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1
χ321111-1-111-1-1-1-111-1-11-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-1i−i−iii−i−ii1-1-11-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111
χ3311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ3411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111111111111111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ3511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i3211111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ3611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1-1-1-1-1-1-1111111111+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
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χ3911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ4011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-111111111-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ4111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ711-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7-1-111−i−iii-1-111−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ71+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ4311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ71+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ711-1-1ii−i−i-1-111−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ71+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ4411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ71+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7-1-111−i−iii11-1-1ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ711-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
χ4611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7-1-111ii−i−i-1-111ii−i−i1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ71+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ71+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ711-1-1−i−iii-1-111ii−i−i−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ71+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7
χ4811−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211-1-11-1-1111-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ71+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7-1-111ii−i−i11-1-1−i−iii1+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7
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χ6311−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1-11-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ71+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−iii−i−iii−i-111-1−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ71+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ6411−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i3211-1-11-1-1-1-1-11111−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7ζ11ζ11ζ7ζ7ζ11ζ11ζ7ζ7−ζ11−ζ11−ζ7−ζ71+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-111-1i−i−iii−i−ii1-1-111+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7ζ11ζ7−ζ11−ζ7−ζ11−ζ7ζ11ζ7−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
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χ7511−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-1111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ1111-1-1ii−i−i-1-111−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ7611−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-1111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ111−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11-1-111−i−iii11-1-1ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
χ7711−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-1111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ1111-1-1−i−iii11-1-1−i−iii−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−ζ7−ζ11−ζ7−ζ11ζ7ζ11ζ7ζ11
χ7811−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211-1-11-1-1111-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ7−ζ7−ζ11−ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11ζ7ζ7ζ11ζ11-1-111ii−i−i-1-111ii−i−i1−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32ζ7ζ11ζ7ζ11−ζ7−ζ11−ζ7−ζ11
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χ8311−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111-1-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i3211-1-111-1-1−i−iii−i−iii−i−iii−i−iii−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ11−ζ7−ζ7−ζ11−ζ11ζ7ζ7ζ11ζ111-11-11-11-1−ii−ii−ii−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11−ζ7−ζ11ζ7ζ11
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χ1698-8888i−8i-8-88i−8i8i−8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1708-888−8i8i-8-8−8i8i−8i8i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1718-8−4−4i3−4+4i38i−8i4+4i34−4i38ζ11−8ζ118ζ7−8ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1728-8−4−4i3−4+4i3−8i8i4+4i34−4i3−8ζ118ζ11−8ζ78ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1738-8−4+4i3−4−4i38i−8i4−4i34+4i38ζ7−8ζ78ζ11−8ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1748-8−4+4i3−4−4i3−8i8i4−4i34+4i3−8ζ78ζ7−8ζ118ζ11000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.