Finite Group Databasebeta

← Group #11919564

Character table — Group #11919564

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size111111111111222222222222222222333333333333444444444444444444444444444444444444666666666666666666888888888888888888888888888888888888121212121212121212121212161616161616161616161616161616161616161616161616
order12334466121212122466888812122424242424242424224466661212121233333366666688881212121212121212121212122424242424242424246688881212242424242424242466666612121212121224242424242424242424242424242424242424242424242488882424242424242424242424242424242424242424242424242424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111111111111111111111−1−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+i32111111111111−1−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
χ4111111111111111111111111111111111111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-1111111111111111111−1−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+i32-1-1-1-1-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32
χ5111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111111111111111111111−1+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−i32111111111111−1+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
χ6111111111111111111111111111111111111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-1111111111111111111−1+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−i32-1-1-1-1-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111111111-1-11111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111-1-111111111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111
χ91111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i3211-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ101111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32-1-111-1-1-1-111111+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i3211-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ121111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-111-1-1-1-111111−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1111111111111i−ii−i-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1i−ii−iii−i−iii−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−i
χ141111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1111111111111−ii−ii-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii-11-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1−ii−ii−i−iii−i−iii−i−i−iiii−i−i−iiii−i−i−iiii−i−i−iiii
χ151111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−ii−i1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32ii−i−iii−i−i-11-1-111-1-1111111-1-1-1-11+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−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32i−ii−iii−i−iii−i−iζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14
χ161111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−ii−ii1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−i−iii−i−iii-11-1-111-1-1111111-1-1-1-11+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−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−ii−ii−i−iii−i−iii−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14
χ171111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−ii−i1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32ii−i−iii−i−i-11-1-111-1-1111111-1-1-1-11−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+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32i−ii−iii−i−iii−i−iζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22
χ181111-1-111-1-1-1-1-11-1-111-1-1111111-1-1-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−ii−ii1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−i−iii−i−iii-11-1-111-1-1111111-1-1-1-11−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+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−ii−ii−i−iii−i−iii−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22
χ191111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1111111111111i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i−i−iii-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111i−i−iiii−i−i−i−iiiiii−i−i−i−i−i−iiiiiii−i−i−i−i−i−iiii
χ201111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1111111111111−iii−i-1-1-1-1-1-1-1-1-1-1-1-1−i−iiiii−i−i-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111−iii−i−i−iiiii−i−i−i−i−iiiiiii−i−i−i−i−i−iiiiiii−i−i−i
χ211111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32i−i−ii1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32ii−i−i−i−iii-11-1-1-1-11111-1-1-1-111111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32i−i−iiii−i−i−i−iiiζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14
χ221111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−iii−i1+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i32−i−iiiii−i−i-11-1-1-1-11111-1-1-1-111111+i321+i321+i321−i321−i321−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−iii−i−i−iiiii−i−i−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14
χ231111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32i−i−ii1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32ii−i−i−i−iii-11-1-1-1-11111-1-1-1-111111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32i−i−iiii−i−i−i−iiiζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22
χ241111-1-111-1-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−iii−i1−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i32−i−iiiii−i−i-11-1-1-1-11111-1-1-1-111111−i321−i321−i321+i321+i321+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−iii−i−i−iiiii−i−i−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22
χ2511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32111111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32
χ2611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-1-1-111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321111−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32
χ2811−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-1-1-1-1−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i32
χ2911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211111−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321
χ3011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-1-1-1-1−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111+i321−i321+i321−i321+i321−i321+i321−i3211−1−i32−1+i321111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-11+i321+i321−i32-11+i321−i32-11+i321−i32-11+i321−i32-1
χ3111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i3211-1-111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i32
χ3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11111−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i32
χ3311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i3211-1-1−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i321−1−i32−1+i3211+i321−i32-11+i321−i32-1−1+i321−1−i32−1+i321−1−i321−i32-11+i321−i32-11+i32
χ3411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32-1-111−1−i32−1−i32−1+i32−1+i3211−1+i32−1+i3211−1−i32−1−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321−1+i321−1−i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-11−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32-11+i321−i32-1−1−i32−1+i321−1−i32−1+i3211−i32-11+i321−i32-11+i32−1+i321−1−i32−1+i321−1−i32
χ3511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i32111-1-1−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1+i321−1−i32−1+i321−1−i321−i32-11+i321−i32-11+i32−1−i32−1+i321−1−i32−1+i3211+i321−i32-11+i321−i32-1
χ3611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i321-1-111−1+i32−1+i3211−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32-1-1-1-1−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1+i321−1−i32−1−i32−1+i321−1+i321−1−i32−1−i32−1+i3211−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321+i321+i321−i321−i32-1-11+i321+i321−i321−i32-1-1-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321−i32-11+i321−i32-11+i32−1+i321−1−i32−1+i321−1−i321+i321−i32-11+i321−i32-1−1−i32−1+i321−1−i32−1+i321
χ3711−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-111+i321−i3211-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i321−1−i32−1+i32i−ii−i-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14-111+i321−i3211-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-11+i321−i32-11+i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321+i321−i321−i32i−ii−iζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14iζ22ζ14−i−ζ22−ζ14
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χ5511−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i3211-1-111−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i3211−1+i32−1−i32-1-1-1-1−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i3211-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i321−1+i32−1−i321−1+i32−1−i32-11−i321+i32-11−i321+i32
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χ1616-6−3−3i3−3+3i36i−6i3+3i33−3i36ζ22−6ζ226ζ14−6ζ14000032−32−3i23i200−3ζ7+3ζ133ζ7−3ζ133ζ5−3ζ23−3ζ5+3ζ233ζ7+3ζ13−3ζ7−3ζ133ζ5+3ζ23−3ζ5−3ζ23-22−2i2i1+i3−1−i31−i3−1+i3−2ζ222ζ22−2ζ142ζ140000000000000000000000000000000000000000−22i2−i200ζ7−ζ13−ζ7+ζ13−ζ5+ζ23ζ5−ζ23−ζ7−ζ13ζ7+ζ13−ζ5−ζ23ζ5+ζ23000000000000000000000000000000000000000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.