Finite Group Databasebeta

← Group #11921334

Character table — Group #11921334

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order12224444366688881212121224242424242424243366666612121212121212122244444488888888336666661212121212121212242424242424242424242424242424242424242424242424661212242424244444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111−1−i32−1+i32−1−i32−1+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−i32−1+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
χ41111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32
χ51111111111111111111111111111−1+i32−1−i32−1+i32−1−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+i32−1−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
χ61111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32
χ7111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ8111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+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+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ10111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1−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+i321111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−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−i321111-1-1-1-1-1-1-1-111111+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−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−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ12111111111111-1-1-1-11111-1-1-1-1-1-1-1-1−1+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−i321111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+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+i321111-1-1-1-1-1-1-1-111111−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-11111-1-1ii−i−iii−i−i11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i11-1-1ii−i−i11-1-111-1-1ii−i−iii−i−i
χ141111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii11111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111ii−i−i-1-111−i−iii-1-111-1-111−i−iii−i−iii
χ151111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11111-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14-1-111ii−i−i11-1-1ii−i−i−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ161111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-111ii−i−i−i−iii−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14-1-111ii−i−i-1-111−i−iii1+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ171111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11111-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22-1-111ii−i−i11-1-1ii−i−i−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ181111-1-1-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-111ii−i−i−i−iii−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ22−ζ22-1-111ii−i−i-1-111−i−iii1−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ191111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-11111-1-1−i−iii−i−iii11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii11-1-1−i−iii11-1-111-1-1−i−iii−i−iii
χ201111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i11111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111−i−iii-1-111ii−i−i-1-111-1-111ii−i−iii−i−i
χ211111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-11111-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14-1-111−i−iii11-1-1−i−iii−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14
χ221111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-111-1-111−i−iiiii−i−i−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14-1-111−i−iii-1-111ii−i−i1+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14
χ231111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-11111-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22-1-111−i−iii11-1-1−i−iii−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22
χ241111-1-1-1-11111−i−iii-1-1-1-1−i−i−i−iiiii−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-1-111-1-111−i−iiiii−i−i−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22-1-111−i−iii-1-111ii−i−i1−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22
χ2511-1-111-1-11-1-111-11-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−i1-11-1i−ii−i11-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ2611-1-111-1-11-1-111-11-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii1-11-1−ii−ii11-1-1-1-111-1-1-1-111111-11-11-11-111-1-111-1-111-1-111-1-11-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ2711-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1i−ii−i1-11-1i−ii−i−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−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-11-11-1i−ii−ii−ii−iζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ2811-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1−ii−ii1-11-1−ii−ii−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−i321+i32−1−i321+i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-11-11-1−ii−ii−ii−ii−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ2911-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1i−ii−i1-11-1i−ii−i−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+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-11-11-1i−ii−ii−ii−iζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ3011-1-111-1-11-1-111-11-1-1-11111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1−ii−ii1-11-1−ii−ii−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+i321−i32−1+i321−i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-11-11-1−ii−ii−ii−ii−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ3111-1-111-1-11-1-11-11-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1i−ii−i-11-11−ii−ii11-1-1-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-1111-11-1-11-11i−ii−i−ii−iii−ii−ii−ii−i−ii−ii−ii−ii
χ3211-1-111-1-11-1-11-11-11-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11-11-1−ii−ii-11-11i−ii−i11-1-1-1-111-1-1-1-11111-11-11-11-11-1-111-1-111-1-111-1-1111-11-1-11-11−ii−iii−ii−i−ii−ii−ii−iii−ii−ii−ii−i
χ3311-1-111-1-11-1-11-11-11-1-111-1-111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1i−ii−i-11-11−ii−ii−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321-11-1-11-11i−ii−i−ii−iiζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14
χ3411-1-111-1-11-1-11-11-11-1-111-1-111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-11-1−ii−ii-11-11i−ii−i−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i32−1−i321+i32−1−i321−i32−1+i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321-11-1-11-11−ii−iii−ii−i−ζ22ζ22−ζ22ζ22−ζ14ζ14−ζ14ζ14ζ22−ζ22ζ22−ζ22ζ14−ζ14ζ14−ζ14
χ3511-1-111-1-11-1-11-11-11-1-111-1-111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1i−ii−i-11-11−ii−ii−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321-11-1-11-11i−ii−i−ii−iiζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22
χ3611-1-111-1-11-1-11-11-11-1-111-1-111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-11-1−ii−ii-11-11i−ii−i−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i32−1+i321−i32−1+i321+i32−1−i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321-11-1-11-11−ii−iii−ii−i−ζ14ζ14−ζ14ζ14−ζ22ζ22−ζ22ζ22ζ14−ζ14ζ14−ζ14ζ22−ζ22ζ22−ζ22
χ3711-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-111-1i−i−iii−i−ii-111-111-1-1-1-1111111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1i−i−iii−i−ii-111-1i−i−iii−i−ii-111-1-111-1
χ3811-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii1111-1-1-1-1-1-1-1-11111-111-1−iii−ii−i−ii1-1-1111-1-1-1-1111111-1-1-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii-111-1i−i−ii−iii−i1-1-11−iii−i−iii−i1-1-111-1-11
χ3911-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1i−i−iii−i−ii-111-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14-111-1i−i−iii−i−ii-111-1ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ141+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4011-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1−iii−ii−i−ii1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14-111-1i−i−ii−iii−i1-1-11−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4111-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1i−i−iii−i−ii-111-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22-111-1i−i−iii−i−ii-111-1ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ221−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4211-1-1-1-1111-1-11i−i−ii11-1-1ii−i−i−i−iii−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1−iii−ii−i−ii1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22-111-1i−i−ii−iii−i1-1-11−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4311-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-111-1i−i−ii−iii−i1-1-1111-1-1-1-1111111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−ii−i−ii1-1-11i−i−iii−i−ii1-1-111-1-11
χ4411-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i1111-1-1-1-1-1-1-1-11111-111-1−iii−i−iii−i-111-111-1-1-1-1111111-1-1-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i-111-1−iii−i−iii−i-111-1−iii−i−iii−i-111-1-111-1
χ4511-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1i−i−ii−iii−i1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14-111-1−iii−ii−i−ii1-1-11ζ22−ζ22−ζ22ζ22ζ14−ζ14−ζ14ζ14−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i32
χ4611-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-111-1−iii−i−iii−i-111-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14-111-1−iii−i−iii−i-111-1−ζ22ζ22ζ22−ζ22−ζ14ζ14ζ14−ζ141+i32−1−i32−1−i321+i321−i32−1+i32−1+i321−i32
χ4711-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1i−i−ii−iii−i1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22-111-1−iii−ii−i−ii1-1-11ζ14−ζ14−ζ14ζ14ζ22−ζ22−ζ22ζ22−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i32
χ4811-1-1-1-1111-1-11−iii−i11-1-1−i−iiiii−i−i−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-111-1−iii−i−iii−i-111-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22-111-1−iii−i−iii−i-111-1−ζ14ζ14ζ14−ζ14−ζ22ζ22ζ22−ζ221−i32−1+i32−1+i321−i321+i32−1−i32−1−i321+i32
χ4922222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222000022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322220000222200001+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1000000000000000000000000
χ5122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322220000222200001−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1000000000000000000000000
χ5222222222-1-1-1-1-2-2-2-2-1-1-1-111111111222222222222222222220000-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-11111000000000000000000000000
χ5322222222-1-1-1-1-2-2-2-2-1-1-1-111111111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i322220000-2-2-2-200001+i321−i321+i321+i321−i321−i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111000000000000000000000000
χ5422222222-1-1-1-1-2-2-2-2-1-1-1-111111111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i322220000-2-2-2-200001−i321+i321−i321−i321+i321+i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111000000000000000000000000
χ552222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii22222222-2-2-2-2-2-2-2-2-2-22200002i2i−2i−2i0000-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii000000000000000000000000
χ562222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31+i31−i31−i31+i31+i31−i31−i3-2-22200002i2i−2i−2i00001+i321−i321+i321+i321−i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i322ζ222ζ22−2ζ22−2ζ222ζ142ζ14−2ζ14−2ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ1411-1-1−i−iii000000000000000000000000
χ572222-2-2-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31−i31+i31+i31−i31−i31+i31+i3-2-22200002i2i−2i−2i00001−i321+i321−i321−i321+i321+i321−i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i322ζ142ζ14−2ζ14−2ζ142ζ222ζ22−2ζ22−2ζ22−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ22ζ2211-1-1−i−iii000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.