Finite Group Databasebeta

← Group #13142072

Character table — Group #13142072

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order122234444666121212123366666648888121212122424242424242424999121212121212121218181818181818181836363636363636363636363612122424242424242424363636363636363636363636727272727272727272727272727272727272727272727272444412121212121212124412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−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+i3211111111−1−i32−1−i32−1−i32−1−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−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32
χ61111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−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+i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-11+i321+i321−i321−i32
χ71111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11+i321+i321−i321−i32
χ81111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321-1-1-1-11111-1-1-1-1-1-1-1-11−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−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+i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i32
χ91111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+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−i3211111111−1+i32−1+i32−1+i32−1+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+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32
χ101111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+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−i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-11−i321−i321+i321+i32
χ111111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11−i321−i321+i321+i32
χ121111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321-1-1-1-11111-1-1-1-1-1-1-1-11−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+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−i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i32
χ13111111-1-11111111111111111-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ14111111-1-11111111111111111-111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11-11
χ15111111-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-11-11
χ16111111-1-11111111111111111-1-1-111-1-1-1-1-1-1-1-1111111111-1-1-1-111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-11-1
χ17111111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i321+i32−1+i321−i32
χ18111111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-111-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i32−1−i321−i32−1+i32
χ19111111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i32−1−i321−i32−1+i32
χ20111111-1-111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-111-1-1-1-1-1-1-1-111111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321-1−1−i321+i32−1+i321−i32
χ21111111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i321−i32−1−i321+i32
χ22111111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-111-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i32−1+i321+i32−1−i32
χ23111111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i32−1+i321+i32−1−i32
χ24111111-1-111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i32-1-1-111-1-1-1-1-1-1-1-111111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321-1−1+i321−i32−1−i321+i32
χ2522222222222222222222222222222222222222222-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ262222222222222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111000000000000000000
χ272222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i322222222222222222-11+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32000000000000000000
χ282222222222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i32-2-2-2-22222-2-2-2-2-2-2-2-2-11+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i32−1−i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ292222222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i322222222222222222-11−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32000000000000000000
χ302222222222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i32-2-2-2-22222-2-2-2-2-2-2-2-2-11−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i32−1+i3−1−i31−i31−i31−i31−i31+i31+i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ31222222-2-22222222222222222-222-2-2-2-2-2-22222-2-2-2-2-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-222-2-2111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000
χ32222222-2-22222222222222222-2-2-222-2-2-2-2-2-2-2-22222-1-1-122-2-2-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2221111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000
χ33222222-2-222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-222-2-2-2-2-2-22222-2-2-2-2-11+i321−i32−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ34222222-2-222222222−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2-2-222-2-2-2-2-2-2-2-22222-11+i321−i32−1−i3−1+i31+i31+i31−i31−i3−1−i3−1+i3-1-1-11+i321+i321+i321−i321−i321−i32-1-11+i321+i321−i321−i32-1-11+i321+i321−i321−i321+i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32000000000000000000
χ35222222-2-222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-222-2-2-2-2-2-22222-2-2-2-2-11−i321+i32−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ36222222-2-222222222−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2-2-222-2-2-2-2-2-2-2-22222-11−i321+i32−1+i3−1−i31−i31−i31+i31+i3−1+i3−1−i3-1-1-11−i321−i321−i321+i321+i321+i32-1-11−i321−i321+i321+i32-1-11−i321−i321+i321+i321−i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32000000000000000000
χ3722222-222-2222-2-2-2-222222222-2000022-2-200000000222-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-222-2-222-2-2000000000000000000000000000000000000000000
χ3822222-222-2222-2-2-2-222222222-2000022-2-200000000-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1111111111111-2-200000000-1-111-1-111-1-11133−3−333−3−333−3−333−3−333−3−333−3−3000000000000000000
χ3922222-222-2222-2-2-2-222222222-2000022-2-200000000-1-1-1-2-22222-2-2-1-1-1-1-1-1-1-1-1111111111111-2-200000000-1-111-1-111-1-111−3−333−3−333−3−333−3−333−3−333−3−333000000000000000000
χ4022222-222-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2000022-2-2000000002−1−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31−i31−i3-2-21+i31+i31−i31−i31+i31−i30000000022-2-2−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3000000000000000000000000000000000000000000
χ4122222-222-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2000022-2-200000000-11+i321−i321+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i31−i300000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3233−3−333−3−32ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000
χ4222222-222-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i3-2000022-2-200000000-11+i321−i321+i31−i3−1−i3−1−i3−1+i3−1+i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i321+i31−i300000000-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32−3−333−3−333−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000000000
χ4322222-222-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2000022-2-2000000002−1+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31+i31+i3-2-21−i31−i31+i31+i31−i31+i30000000022-2-2−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3000000000000000000000000000000000000000000
χ4422222-222-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2000022-2-200000000-11−i321+i321−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i31+i300000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3233−3−333−3−3−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000000000
χ4522222-222-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i3-2000022-2-200000000-11−i321+i321−i31+i3−1+i3−1+i3−1−i3−1−i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i321−i31+i300000000-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32−3−333−3−333ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000000000
χ4622222-2-2-2-2222-2-2-2-22222222220000-2-22200000000222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-222-2-222-2-222000000000000000000000000000000000000000000
χ4722222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111220000000011-1-111-1-111-1-133−3−3−3−33333−3−3−3−33333−3−3−3−333000000000000000000
χ4822222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111220000000011-1-111-1-111-1-1−3−33333−3−3−3−33333−3−3−3−33333−3−3000000000000000000
χ4922222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i320000-2-222000000002−1−i3−1+i31+i31−i31+i31+i31−i31−i31+i31−i3222−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3-2-21+i31+i31−i31−i3-2-21+i31+i31−i31−i3−1−i3−1+i300000000-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000000000
χ5022222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i320000-2-22200000000-11+i321−i321+i31−i31+i31+i31−i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1+i30000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3233−3−3−3−3332ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22000000000000000000
χ5122222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1+i320000-2-22200000000-11+i321−i321+i31−i31+i31+i31−i31−i31+i31−i3-1-1-11+i321+i321+i321−i321−i321−i3211−1−i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1+i32−1+i32−1−i3−1+i30000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−3−33333−3−3−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22000000000000000000
χ5222222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i320000-2-222000000002−1+i3−1−i31−i31+i31−i31−i31+i31+i31−i31+i3222−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3-2-21−i31−i31+i31+i3-2-21−i31−i31+i31+i3−1+i3−1−i300000000-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000000000
χ5322222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i320000-2-22200000000-11−i321+i321−i31+i31−i31−i31+i31+i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i3−1−i30000000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3233−3−3−3−333−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ22000000000000000000
χ5422222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1−i320000-2-22200000000-11−i321+i321−i31+i31−i31−i31+i31+i31−i31+i3-1-1-11−i321−i321−i321+i321+i321+i3211−1+i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1−i32−1−i32−1+i3−1−i30000000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−3−33333−3−3ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ22000000000000000000
χ5522-2-22200-22-2-222-2-2222-22-2-2-200000000000000000222220000-2-22-2-22-2-22-2-2222222-2-2-2-2-2-20000000000000000000000000000000000000000000000002-2002-2002-2000000
χ5622-2-22200-22-2-222-2-2222-22-2-2-200000000000000000222220000-2-22-2-22-2-22-2-2222222-2-2-2-2-2-2000000000000000000000000000000000000000000000000-2200-2200-22000000
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χ1306-6-66-30-6603-3333−3333−33000000000−3i23i23i2−3i23-3−33333ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1316-6-66-30-6603-3333−3333−330000000003i2−3i2−3i23i23-3−3333−3ζ5−3ζ7−3ζ13−3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ23−3ζ5−3ζ7−3ζ13−3ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1326-6-66-30-6603-33−3333−3333000000000−3i23i23i2−3i23-333−333ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1336-6-66-30-6603-33−3333−33330000000003i2−3i2−3i23i23-333−33−3ζ13−3ζ23−3ζ5−3ζ73ζ13+3ζ233ζ5+3ζ73ζ13+3ζ233ζ5+3ζ7−3ζ13−3ζ23−3ζ5−3ζ7000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1341212-12-12-61200-12-666-6-6660000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1351212-12-12-6-120012-66666-6-60000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13612-1212-12-6000066-663−63−63630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13712-1212-12-6000066-6−636363−630000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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