Finite Group Databasebeta

← Group #13142743

Character table — Group #13142743

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order1222344446661212121233666666224446666121212121212121233366666666612121212121212121212121212121212121212126666666666666666121212121212121212121212121212121212121212121212121212121212888824242424242424244412121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32111111111111111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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−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−i32−1+i32−1+i321111−1−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+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+i3211−1−i32−1−i32−1+i32−1+i321−1−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−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−i32−1+i32−1+i321111−1−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+i32-1-1-1-11+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+i32-1-11-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321111−1−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−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+i32-1-11-1-1-1-1-1-11111-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−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+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i321111−1−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−i32-1-1-1-11+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−i3211−1+i32−1+i32−1−i32−1−i321−1+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+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+i32−1−i32−1−i321111−1+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−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−i3211−1+i32−1+i32−1−i32−1−i321−1+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+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+i32−1−i32−1−i321111−1+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−i32-1-1-1-11−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−i32-1-11-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321111−1+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+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−i32-1-11-1-1-1-1-1-11111-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+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−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i321111−1+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+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211−1+i32−1−i32−1+i32−1−i32
χ13111111-1-11111-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-111-1-1
χ14111111-1-11111-1-1-1-11111111111-1-1-1111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-1-111
χ15111111-1-11111-1-1-1-111111111-1-1-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111111111111111-1-111-1-111-1-1-11-1-111
χ16111111-1-11111-1-1-1-111111111-1-1-111-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-1111111111111-1-111-1-111-1-1111-111-1-1
χ17111111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1111111-1-1-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−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+i321−i321+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1−1−i32−1+i321+i321−i32
χ18111111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i3211-1-1-1111111-1-1-1-1-1-11−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−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+i321−i321+i321+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111+i321−i32−1−i32−1+i32
χ19111111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-1-1-111-1-111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−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−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32-111+i321−i32−1−i32−1+i32
χ20111111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32-1-1-111-1-1-1-111-1-111111−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i321−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−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−i321111−1−i32−1−i32−1−i32−1−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−i32−1+i321+i321−i32
χ21111111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1111111-1-1-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+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−i321+i321−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1−1+i32−1−i321−i321+i32
χ22111111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i3211-1-1-1111111-1-1-1-1-1-11−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+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−i321+i321−i321−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111−i321+i32−1+i32−1−i32
χ23111111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-1-1-111-1-111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+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+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32-111−i321+i32−1+i32−1−i32
χ24111111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32-1-1-111-1-1-1-111-1-111111−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i321−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+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+i321111−1+i32−1+i32−1+i32−1+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+i32−1−i321−i321+i32
χ2522222222222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ26222222222222222222222222-2-22-2-2-2-2-2-22222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111111122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000
χ272222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322222222222222222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000
χ282222222222222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-22-2-2-2-2-2-22222-2-2-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i31+i31+i31−i31−i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321111−1−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+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000
χ302222222222222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-22-2-2-2-2-2-22222-2-2-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i31−i31−i31+i31+i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ31222222-2-22222-2-2-2-22222222222-2-2-2222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2111111111111222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-111-1-111-1-111111111111111000000000000000000
χ32222222-2-22222-2-2-2-222222222-2-2-222-2-2-2-222-2-22222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211111111111122-2-2-2-2111111111111-2-22222-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ33222222-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i322-2-2-2222222-2-2-2-2-2-2-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i31+i31+i31−i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32000000000000000000
χ34222222-2-22222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3-2-2-222-2-2-2-222-2-22222-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i32−1−i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3−1−i3−1−i3−1+i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32000000000000000000
χ35222222-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i322-2-2-2222222-2-2-2-2-2-2-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i31−i31−i31+i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32000000000000000000
χ36222222-2-22222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3-2-2-222-2-2-2-222-2-22222-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i32−1+i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i3−1−i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i3−1+i3−1+i3−1−i3−1−i3-1-1111−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32000000000000000000
χ3722222-222-222222222222222200-2000000-2-2-2-20000222222222222-2-22222222222222222-2-20000000000000000-2-20000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000
χ3822222-222-222222222222222200-2000000-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-20000111111111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ3922222-222-222222222222222200-2000000-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-20000111111111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ4022222-222-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2000000-2-2-2-200002−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31−i3−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31−i300000000000000001+i31−i30000-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3000000000000000000000000000000
χ4122222-222-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2000000-2-2-2-20000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i30000−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i321+i31−i300001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i32000000000000000000
χ4222222-222-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i300-2000000-2-2-2-20000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31−i3−1−i3−1−i3−1+i3−1+i3-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i30000i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i321+i31−i300001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i32000000000000000000
χ4322222-222-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2000000-2-2-2-200002−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31+i3−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31+i300000000000000001−i31+i30000-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3000000000000000000000000000000
χ4422222-222-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2000000-2-2-2-20000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i30000−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i321−i31+i300001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i32000000000000000000
χ4522222-222-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i300-2000000-2-2-2-20000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31+i3−1+i3−1+i3−1−i3−1−i3-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i30000i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i321−i31+i300001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i32000000000000000000
χ4622222-2-2-2-2222-2-2-2-222222222002000000-2-2220000222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000220000-2-222-2-222-2-222000000000000000000000000000000
χ4722222-2-2-2-2222-2-2-2-222222222002000000-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-20000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322000011-1-111-1-111-1-1i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ4822222-2-2-2-2222-2-2-2-222222222002000000-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2111111111111-2-20000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322000011-1-111-1-111-1-1−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ4922222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3002000000-2-22200002−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32−1−i3−1+i31+i31−i31+i31+i31−i31−i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i31+i31−i30000000000000000−1−i3−1+i30000-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000
χ5022222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3002000000-2-2220000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31−i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i30000−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i32−1−i3−1+i3000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i32000000000000000000
χ5122222-2-2-2-2222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3002000000-2-2220000-11+i321−i32-1-11+i321+i321−i321−i32-11+i321−i321+i31−i31+i31+i31−i31−i31111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i30000i3i3−i3−i33−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i32−1−i3−1+i3000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−i3−i3i3i3−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i32000000000000000000
χ5222222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3002000000-2-22200002−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32−1+i3−1−i31−i31+i31−i31−i31+i31+i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i31−i31+i30000000000000000−1+i3−1−i30000-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000
χ5322222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3002000000-2-2220000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31+i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i30000−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i32−1+i3−1−i3000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i32000000000000000000
χ5422222-2-2-2-2222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3−1+i3−1−i3002000000-2-2220000-11−i321+i32-1-11−i321−i321+i321+i32-11−i321+i321−i31+i31−i31−i31+i31+i31111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i30000i3i3−i3−i3−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i32−1+i3−1−i3000011-1-1−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−i3−i3i3i33+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i32000000000000000000
χ5522-2-22200-22-2-200002222-2-2-2-22-200022-2-22-20000002222-22-22-2-2-2-2220000000000000000-2-22-22-22-22-22-22-22-22-20000002-2002-2002-200000000000000000000000000000000
χ5622-2-22200-22-2-200002222-2-2-2-22-200022-2-22-2000000-1-1-1-11-11-1111122000033−3−333−3−333−3−3-2-22-22-2-11-11-11-11-11-11000000-113−3-113−3-113−33−33−33−33−33−33−3000000000000000000
χ5722-2-22200-22-2-200002222-2-2-2-22-200022-2-22-2000000-1-1-1-11-11-11111220000−3−333−3−333−3−333-2-22-22-2-11-11-11-11-11-11000000-11−33-11−33-11−33−33−33−33−33−33−33000000000000000000
χ5822-2-22200-22-2-200002222-2-2-2-2-22000-2-2222-20000002222-22-22-2-2-2-2220000000000000000-2-2-22-22-22-22-22-22-22-220000002-2002-2002-200000000000000000000000000000000
χ5922-2-22200-22-2-200002222-2-2-2-2-22000-2-2222-2000000-1-1-1-11-11-1111122000033−3−333−3−333−3−3-2-2-22-221-11-11-11-11-11-1000000-113−3-113−3-113−3−33−33−33−33−33−33000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.