Finite Group Databasebeta

← Group #13142810

Character table — Group #13142810

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137
size111122222222222233333333444444444444444446666666666666666666666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212121212363636363636363636363636727272727272
order12223444466612121212336666664444412121212121212121212121299912121212121212121818181818181818183636363636363636363636361212121212121212121236363636363636363636363636363636363636363636363636363636363636363636363688882424242424242424226666
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+i321−1−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+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+i321−1−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+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+i321−1−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+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+i321−1−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+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−i321−1+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−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−i321−1+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−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−i321−1+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−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−i321−1+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−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
χ1311111-1-111111-1-1-1-111111111-111-1-111-1-11111-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1411111-1-111111-1-1-1-111111111-111-1-111-1-11111-1-1-1-1111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11-11-11
χ1511111-1-111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-111-1-1-11-11-11
χ1611111-1-111111-1-1-1-111111111-1-1-11111-1-1-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1111-11-11-1
χ1711111-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-111-1-11111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+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
χ1811111-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-1-111-1-11111-1-1-1-11−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+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
χ1911111-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11111-1-1-1-1-1-111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+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
χ2011111-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-11111-1-1-1-1-1-111111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i3211-1-1−1−i32−1−i321+i321+i32−1+i32−1+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
χ2111111-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-111-1-11111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−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
χ2211111-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-111-1-111-1-11111-1-1-1-11−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−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
χ2311111-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11111-1-1-1-1-1-111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−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
χ2411111-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-11111-1-1-1-1-1-111111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i3211-1-1−1+i32−1+i321−i321−i32−1−i32−1−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+i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i32−1−i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+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+i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−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−i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i32−1+i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−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−i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+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
χ312222222-2-2222222222222222-20000-2-2-2-2000000002222222-2-2-2-2222222222222222222222-2-200000000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ322222222-2-2222222222222222-20000-2-2-2-200000000-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000111111111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000000000
χ332222222-2-2222222222222222-20000-2-2-2-200000000-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200000000111111111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000000000
χ342222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-2000000002−1−i3−1+i3−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i32222−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i31+i31−i300000000-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3000000000000000000000000000000000000000000
χ352222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-200000000-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i3000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−i3−i3i3i3−i3−i3i3i3−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i323+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32000000000000000000
χ362222222-2-22222222−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-20000-2-2-2-200000000-11+i321−i32−1−i3−1−i3−1+i3−1+i31+i31−i31+i31−i3-11+i321−i32-1-11+i321+i321−i321−i32-1-1-1-11+i321+i321+i321+i321−i321−i321−i321−i321+i31−i3000000001111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32i3i3−i3−i3i3i3−i3−i33−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i32000000000000000000
χ372222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-2000000002−1+i3−1−i3−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i32222−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i31−i31+i300000000-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3000000000000000000000000000000000000000000
χ382222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-200000000-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i3000000001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−i3−i3i3i3−i3−i3i3i33+i323+i32−3−i32−3−i323+i323+i32−3−i32−3−i32−3+i32−3+i323−i323−i32−3+i32−3+i323−i323−i32000000000000000000
χ392222222-2-22222222−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-20000-2-2-2-200000000-11−i321+i32−1+i3−1+i3−1−i3−1−i31−i31+i31−i31+i3-11−i321+i32-1-11−i321−i321+i321+i32-1-1-1-11−i321−i321−i321−i321+i321+i321+i321+i321−i31+i3000000001111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32i3i3−i3−i3i3i3−i3−i3−3−i32−3−i323+i323+i32−3−i32−3−i323+i323+i323−i323−i32−3+i32−3+i323−i323−i32−3+i32−3+i32000000000000000000
χ4022222-2-222222-2-2-2-222222222-222-2-222-2-22222-2-2-2-2-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1111111111111-2-222-2-222-2-2-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111000000000000000000
χ4122222-2-222222-2-2-2-222222222-2-2-22222-2-2-2-2-2-22222-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1111111111111-2-2-2-222-2-222-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1000000000000000000
χ4222222-2-222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-222-2-222-2-22222-2-2-2-2-11+i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3-1-1111+i321+i32−1−i32−1−i321−i321−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
χ4322222-2-222222-2-2-2-2−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3-2-2-22222-2-2-2-2-2-22222-11+i321−i321+i31+i31−i31−i3−1−i3−1+i3−1−i3−1+i3-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321+i31−i31+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3-1-1111+i321+i32−1−i32−1−i321−i321−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
χ4422222-2-222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-222-2-222-2-22222-2-2-2-2-11−i321+i321−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i3−1+i3−1+i31−i31−i3−1−i3−1−i31+i31+i3-1-1111−i321−i32−1+i32−1+i321+i321+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
χ4522222-2-222222-2-2-2-2−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3-2-2-22222-2-2-2-2-2-22222-11−i321+i321−i31−i31+i31+i3−1+i3−1−i3−1+i3−1−i3-11−i321+i32-1-11−i321−i321+i321+i321111−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321−i31+i31−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3-1-1111−i321−i32−1+i32−1+i321+i321+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
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
χ4722222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111220000000011-1-111-1-111-1-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000000000
χ4822222-2-2-2-2222-2-2-2-22222222220000-2-22200000000-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1111111111111220000000011-1-111-1-111-1-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−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+i320000-2-222000000002−1−i3−1+i31+i31+i31−i31−i31+i31−i31+i31−i32−1−i3−1+i322−1−i3−1−i3−1+i3−1+i3-2-2-2-21+i31+i31+i31+i31−i31−i31−i31−i3−1−i3−1+i300000000-2-2221+i31+i3−1−i3−1−i31−i31−i3−1+i3−1+i3000000000000000000000000000000000000000000
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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−i3-11+i321−i32-1-11+i321+i321−i321−i321111−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i3−1+i30000000011-1-1−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32i3i3−i3−i3−i3−i3i3i33−i323−i32−3+i32−3+i32−3+i32−3+i323−i323−i32−3−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−i320000-2-222000000002−1+i3−1−i31−i31−i31+i31+i31−i31+i31−i31+i32−1+i3−1−i322−1+i3−1+i3−1−i3−1−i3-2-2-2-21−i31−i31−i31−i31+i31+i31+i31+i3−1+i3−1−i300000000-2-2221−i31−i3−1+i3−1+i31+i31+i3−1−i3−1−i3000000000000000000000000000000000000000000
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χ5622-2-222-2002-2-222-2-22222-2-2-2-2000000000000000002222-22-20000222-2-2-2-2-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.