Finite Group Databasebeta

← Group #13141984

Character table — Group #13141984

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140
size1111222222222233333333444444444466666666666666666666666688889999999999991212121212121212121212121212121212121212121212121212181818181818181818181818181818181818242424242424242424242424363636363636363636363636
order1244234444461212336612121212246881212121212333666661212121212121212121212121212121261224248888242424242424242466666121212121212121212121212121212121224242424888888242424242424242424242424666121212242424242424246688121224242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-111111111111111111111111111111-1-1-1-1111111111111-1-1111-1-1111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-11-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−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+i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ611111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−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+i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ711111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32111111−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32-1-11+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ811111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11-1-1111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-11+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ911111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+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−i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ1011111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+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−i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ1111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32111111−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i32-1-11−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ1211111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11-1-1111111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-11−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i32-1-11−i321−i321+i321+i3211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ13111111-1-1-1-1111111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11111
χ14111111-1-1-1-1111111111111111-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1
χ15111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1
χ16111111-1-1-1-1111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111-1-11111
χ17111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-11111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ18111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-11-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321−i321−i32-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321−1−i32−1+i321−1−i32−1+i32-1-11+i321+i321−i321−i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ19111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1111111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ20111111-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1+i321−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-111-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321−1−i32−1+i321+i321−i321−1−i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-111111+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11+i321−i32-11+i321−i3211−1−i32−1−i32−1+i32−1+i32-1-11+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ21111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-11111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ22111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-11-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321+i321+i32-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−1+i32−1−i321−1+i32−1−i32-1-11−i321−i321+i321+i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ23111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1111111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i3211-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ24111111-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1−i321−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-111-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−1+i32−1−i321−i321+i321−1+i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-111111−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-11−i321+i32-11−i321+i3211−1+i32−1+i32−1−i32−1−i32-1-11−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ2511-1-1-11ii−i−i11-1-11111-1-1-1-11-1-1i−i1ii−i−i111-1-1111ii−i−iii−i−i-1-1-1-1-1-1111-1i−iii−i−iii−i−iii−i−i11-1-1-1-1-1111ii−i−iii−i−iii−i−ii−ii−ii−i11-1-1i−ii−i11-1-111-1-1111-1-1-1i−ii−ii−i1-111i−i-1-1i−ii−i
χ2611-1-1-11ii−i−i11-1-11111-1-1-1-11-1-1i−i1ii−i−i111-1-1111ii−i−iii−i−i-1-1-1-1-1-1111-1i−i−i−iii−i−iii−i−iii11-1-1-1-1-1111ii−i−iii−i−iii−i−ii−ii−i−ii-1-111−ii−ii-1-111-1-111111-1-1-1i−ii−ii−i-11-1-1−ii11−ii−ii
χ2711-1-1-11ii−i−i11-1-11111-1-1-1-1-11-1−ii1ii−i−i111-1-1111ii−i−iii−i−i-1-1-1-1-1-111-11−iiii−i−iii−i−iii−i−i-1-1-1-1-111111ii−i−iii−i−iii−i−i−ii−iii−i11-1-1i−ii−i11-1-111-1-1-1-1-1111−ii−ii−ii-11-1-1−ii11−ii−ii
χ2811-1-1-11ii−i−i11-1-11111-1-1-1-1-11-1−ii1ii−i−i111-1-1111ii−i−iii−i−i-1-1-1-1-1-111-11−ii−i−iii−i−iii−i−iii-1-1-1-1-111111ii−i−iii−i−iii−i−i−ii−ii−ii-1-111−ii−ii-1-111-1-111-1-1-1111−ii−ii−ii1-111i−i-1-1i−ii−i
χ2911-1-1-11ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1i−i1ii−i−i1−1−i32−1+i321+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-11+i321+i321−i321−i32−1−i32−1+i321-1i−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1+i32-11+i321−i321+i321−i321−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22−ζ22ζ14−ζ14i−i11-1-1ζ22−ζ22ζ14−ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14
χ3011-1-1-11ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1i−i1ii−i−i1−1−i32−1+i321+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-11+i321+i321−i321−i32−1−i32−1+i321-1i−i−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1+i32-11+i321−i321+i321−i321−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ22−ζ22ζ14−ζ14−ii-1-111−ζ22ζ22−ζ14ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32i−iζ22−ζ22ζ14−ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ3111-1-1-11ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1−ii1ii−i−i1−1−i32−1+i321+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-11+i321+i321−i321−i32−1−i32−1+i32-11−iiii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22ζ22−ζ14ζ14i−i11-1-1ζ22−ζ22ζ14−ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ14-111+i321−i32−ii−1−i32−1+i32−ζ22ζ22−ζ14ζ14
χ3211-1-1-11ii−i−i11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1−ii1ii−i−i1−1−i32−1+i321+i321−i321−1−i32−1+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14-1-11+i321+i321−i321−i32−1−i32−1+i32-11−ii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32ii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−ζ22ζ22−ζ14ζ14−ii-1-111−ζ22ζ22−ζ14ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32−ii−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32i−i1+i321−i32ζ22−ζ22ζ14−ζ14
χ3311-1-1-11ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1i−i1ii−i−i1−1+i32−1−i321−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-11−i321−i321+i321+i32−1+i32−1−i321-1i−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14−ζ14ζ22−ζ22i−i11-1-1ζ14−ζ14ζ22−ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i32i−iζ14−ζ14ζ22−ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22
χ3411-1-1-11ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1i−i1ii−i−i1−1+i32−1−i321−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-11−i321−i321+i321+i32−1+i32−1−i321-1i−i−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ14−ζ14ζ22−ζ22−ii-1-111−ζ14ζ14−ζ22ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32i−iζ14−ζ14ζ22−ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ3511-1-1-11ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1−ii1ii−i−i1−1+i32−1−i321−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-11−i321−i321+i321+i32−1+i32−1−i32-11−iiii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14ζ14−ζ22ζ22i−i11-1-1ζ14−ζ14ζ22−ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ22-111−i321+i32−ii−1+i32−1−i32−ζ14ζ14−ζ22ζ22
χ3611-1-1-11ii−i−i11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1−ii1ii−i−i1−1+i32−1−i321−i321+i321−1+i32−1−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22-1-11−i321−i321+i321+i32−1+i32−1−i32-11−ii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i32ii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−ζ14ζ14−ζ22ζ22−ii-1-111−ζ14ζ14−ζ22ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32−ii−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32i−i1−i321+i32ζ14−ζ14ζ22−ζ22
χ3711-1-1-11−i−iii11-1-11111-1-1-1-11-1-1−ii1−i−iii111-1-1111−i−iii−i−iii-1-1-1-1-1-1111-1−iiii−i−iii−i−iii−i−i11-1-1-1-1-1111−i−iii−i−iii−i−iii−ii−iii−i-1-111i−ii−i-1-111-1-111111-1-1-1−ii−ii−ii-11-1-1i−i11i−ii−i
χ3811-1-1-11−i−iii11-1-11111-1-1-1-11-1-1−ii1−i−iii111-1-1111−i−iii−i−iii-1-1-1-1-1-1111-1−ii−i−iii−i−iii−i−iii11-1-1-1-1-1111−i−iii−i−iii−i−iii−ii−ii−ii11-1-1−ii−ii11-1-111-1-1111-1-1-1−ii−ii−ii1-111−ii-1-1−ii−ii
χ3911-1-1-11−i−iii11-1-11111-1-1-1-1-11-1i−i1−i−iii111-1-1111−i−iii−i−iii-1-1-1-1-1-111-11i−iii−i−iii−i−iii−i−i-1-1-1-1-111111−i−iii−i−iii−i−iiii−ii−ii−i-1-111i−ii−i-1-111-1-111-1-1-1111i−ii−ii−i1-111−ii-1-1−ii−ii
χ4011-1-1-11−i−iii11-1-11111-1-1-1-1-11-1i−i1−i−iii111-1-1111−i−iii−i−iii-1-1-1-1-1-111-11i−i−i−iii−i−iii−i−iii-1-1-1-1-111111−i−iii−i−iii−i−iiii−ii−i−ii11-1-1−ii−ii11-1-111-1-1-1-1-1111i−ii−ii−i-11-1-1i−i11i−ii−i
χ4111-1-1-11−i−iii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1−ii1−i−iii1−1−i32−1+i321+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-11+i321+i321−i321−i32−1−i32−1+i321-1−iiii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1−i32−1+i32-11+i321−i321+i321−i321−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22ζ22−ζ14ζ14i−i-1-111ζ22−ζ22ζ14−ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−1−i32−1+i32-11+i321−i32−ii−ζ22ζ22−ζ14ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ4211-1-1-11−i−iii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321-1-1−ii1−i−iii1−1−i32−1+i321+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-11+i321+i321−i321−i32−1−i32−1+i321-1−ii−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1−i32−1+i32-11+i321−i321+i321−i321−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ22ζ22−ζ14ζ14−ii11-1-1−ζ22ζ22−ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321−1−i32−1+i32-11+i321−i32−ii−ζ22ζ22−ζ14ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14
χ4311-1-1-11−i−iii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1i−i1−i−iii1−1−i32−1+i321+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-11+i321+i321−i321−i32−1−i32−1+i32-11i−iii−i−iζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22−ζ22ζ14−ζ14i−i-1-111ζ22−ζ22ζ14−ζ141+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ141-1−1−i32−1+i32−ii1+i321−i32−ζ22ζ22−ζ14ζ14
χ4411-1-1-11−i−iii11-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-11-1i−i1−i−iii1−1−i32−1+i321+i321−i321−1−i32−1+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14-1-11+i321+i321−i321−i32−1−i32−1+i32-11i−i−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141+i321−i32-11+i321−i32−1−i32−1+i321−1−i32−1+i32−i−iii−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14ζ22−ζ22ζ14−ζ14−ii11-1-1−ζ22ζ22−ζ14ζ14−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-11+i321−i321−1−i32−1+i32i−iζ22−ζ22ζ14−ζ14-111+i321−i32i−i−1−i32−1+i32ζ22−ζ22ζ14−ζ14
χ4511-1-1-11−i−iii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1−ii1−i−iii1−1+i32−1−i321−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-11−i321−i321+i321+i32−1+i32−1−i321-1−iiii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14ζ14−ζ22ζ22i−i-1-111ζ14−ζ14ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321−1+i32−1−i32-11−i321+i32−ii−ζ14ζ14−ζ22ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4611-1-1-11−i−iii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321-1-1−ii1−i−iii1−1+i32−1−i321−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-11−i321−i321+i321+i32−1+i32−1−i321-1−ii−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−1+i32−1−i32-11−i321+i321−i321+i321−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ14ζ14−ζ22ζ22−ii11-1-1−ζ14ζ14−ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321−1+i32−1−i32-11−i321+i32−ii−ζ14ζ14−ζ22ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
χ4711-1-1-11−i−iii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1i−i1−i−iii1−1+i32−1−i321−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-11−i321−i321+i321+i32−1+i32−1−i32-11i−iii−i−iζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14−ζ14ζ22−ζ22i−i-1-111ζ14−ζ14ζ22−ζ221−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ221-1−1+i32−1−i32−ii1−i321+i32−ζ14ζ14−ζ22ζ22
χ4811-1-1-11−i−iii11-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-11-1i−i1−i−iii1−1+i32−1−i321−i321+i321−1+i32−1−i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22-1-11−i321−i321+i321+i32−1+i32−1−i32-11i−i−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221−i321+i32-11−i321+i32−1+i32−1−i321−1+i32−1−i32−i−iii−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22ζ14−ζ14ζ22−ζ22−ii11-1-1−ζ14ζ14−ζ22ζ22−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-11−i321+i321−1+i32−1−i32i−iζ14−ζ14ζ22−ζ22-111−i321+i32i−i−1+i32−1−i32ζ14−ζ14ζ22−ζ22
χ4922222222222222222222222222222222-1-1-122-1-1-122222222-1-1-1-1-1-122222200000000000022-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000000000000000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ502222222222222222222222-2-22-2-222222-1-1-122-1-1-122222222-1-1-1-1-1-122-2-2-2-2000000000000-2-2-1-1-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000000000111111111111000000000000
χ5122222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i32222222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i32222000000000000−1−i3−1+i3-11+i321−i32−1−i3−1+i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1−i3−1+i3−1+i3000000000000000000-11+i321−i32-11+i321−i32-1-11+i321+i321−i321−i32000000000000
χ5222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-22-2-222222-11+i321−i32−1−i3−1+i3-11+i321−i32−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-11+i321+i321−i321−i32−1−i3−1+i3-2-2-2-20000000000001+i31−i3-11+i321−i321+i31−i3-11+i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31+i31−i31−i30000000000000000001−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32000000000000
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χ13512121212-12-60000-12-6-6-6000000000060060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1361212-12-1212-60000-12-6660000000000-60060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ13812-1212i−12i0-6−6−6i6+6i−6+6i6−6i06−6i6i000000000000003+3i−3−3i3−3i−3+3i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13912-12−12i12i0-66−6i−6+6i6+6i−6−6i066i−6i00000000000000−3+3i3−3i−3−3i3+3i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14012-12−12i12i0-6−6+6i6−6i−6−6i6+6i066i−6i000000000000003−3i−3+3i3+3i−3−3i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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