Finite Group Databasebeta

← Group #10647839

Character table — Group #10647839

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111111111222222222222222222222222222222222222222222444444444444444444444444888888888888888888888888888888888888888888888888161616161616161616161616
order123344661212121222244444444444666666121212121212121212121212121212121212121212124444444412121212121212121212121212121212224444446666888888881212121212121212121212122424242424242424242424242424242444881212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-11-11-1-111-1-111-1-111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ61111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11-1-111-1-111
χ71111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11-1-111-1-111
χ81111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111-11-111-1-111-1-1
χ9111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1
χ10111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1111-1-1-1-111
χ11111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111-1-1-1-111
χ12111111111111111-1-1-1-11111111111111-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-1
χ13111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111
χ14111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111-11-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-1
χ15111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1
χ16111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−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−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−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
χ1811−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−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+i321-11-111-1-1−1−i32−1+i321+i321−i3211-1-111-1-1−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ1911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−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+i32-11-11-1-1111+i321−i32−1−i32−1+i32-1-111-1-1111+i321−i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i32
χ2011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i3211111111111111−1−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−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+i32-1-1-1-1-1-1-1-11+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−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
χ2111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32111111-1-1−1−i32−1+i32−1−i32−1+i32-1-111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321-11-11111−1−i32−1+i321+i321−i32-1-1-1-1-1-111−1−i32−1+i321+i321−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−i32−1−i32−1−i32−1+i32−1+i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2311−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-11-11-1-1-1-11+i321−i32−1−i32−1+i32111111-1-11+i321−i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−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−i32-11-111+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32
χ2411−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1-1-1111+i321−i321+i321−i3211-1-111111+i321−i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321-11-1−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32
χ2511−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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+i32-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321111-1-111−1−i32−1+i32−1−i32−1+i3211-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−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−i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ2611−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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+i32-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i321-11-1-1-1-1-1−1−i32−1+i321+i321−i321111-1-111−1−i32−1+i321+i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ2711−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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+i32-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-11-1111111+i321−i32−1−i32−1+i32-1-1-1-111-1-11+i321−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−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321-1-11−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32
χ2811−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-11111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−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+i32-1-111-1-1-1-11+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-11+i321−i321+i321−i32-1-11111111+i321−i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-111-11+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32
χ2911−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111-1-1-1-1−1−i32−1+i32−1−i32−1+i32-1-1-1-11111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3011−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321-11-1-1-111−1−i32−1+i321+i321−i32-1-11111-1-1−1−i32−1+i321+i321−i321+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−i32−1−i32−1+i32−1+i321+i321+i321−i321−i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ3111−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-11-1111-1-11+i321−i32−1−i32−1+i3211-1-1-1-1111+i321−i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i3211-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ3211−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32111-1-1-1-1-1-1-1-1111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i32-1-1-1-111111+i321+i321−i321−i321+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-111111+i321−i321+i321−i321111-1-1-1-11+i321−i321+i321−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+i321+i321+i321−i321−i321+i321+i321−i321−i32-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ3311−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+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+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+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
χ3411−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+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−i321-11-111-1-1−1+i32−1−i321−i321+i3211-1-111-1-1−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ3511−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+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−i32-11-11-1-1111−i321+i32−1+i32−1−i32-1-111-1-1111−i321+i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i32
χ3611−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i3211111111111111−1+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+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−i32-1-1-1-1-1-1-1-11−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+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
χ3711−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111-1-1-1-1111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32111111-1-1−1+i32−1−i32−1+i32−1−i32-1-111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ3811−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111-1-1-1-1111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321-11-11111−1+i32−1−i321−i321+i32-1-1-1-1-1-111−1+i32−1−i321−i321+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+i32−1+i32−1+i32−1−i32−1−i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ3911−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111-1-1-1-1111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-11-11-1-1-1-11−i321+i32−1+i32−1−i32111111-1-11−i321+i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+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+i32-11-111−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32
χ4011−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111-1-1-1-1111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1-1-1111−i321+i321−i321+i3211-1-111111−i321+i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321-11-1−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32
χ4111−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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−i32-1-111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321111-1-111−1+i32−1−i32−1+i32−1−i3211-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+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+i32-111-11−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32
χ4211−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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−i32-1-111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i321-11-1-1-1-1-1−1+i32−1−i321−i321+i321111-1-111−1+i32−1−i321−i321+i321−i321−i321+i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
χ4311−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32111-1-1-1-11111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+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−i32-1-111-1-1-1-11−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-11-1111111−i321+i32−1+i32−1−i32-1-1-1-111-1-11−i321+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+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i321-1-11−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32
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χ1284-4−2−2i3−2+2i3−4i4i2+2i32−2i3−4ζ114ζ11−4ζ74ζ70002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i000000000−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ11−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ100000000000-222i−2i000000001+i3−1−i32ζ11−2ζ111−i3−1+i32ζ7−2ζ7000000000000000000000000000000000000000000000000000000000000
χ1294-4−2−2i3−2+2i3−4i4i2+2i32−2i3−4ζ114ζ11−4ζ74ζ7000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i0000000002ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ11−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ100000000000-222i−2i000000001+i3−1−i32ζ11−2ζ111−i3−1+i32ζ7−2ζ7000000000000000000000000000000000000000000000000000000000000
χ1304-4−2−2i3−2+2i3−4i4i2+2i32−2i3−4ζ114ζ11−4ζ74ζ7000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0000000002ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ1000000000002-2−2i2i00000000−1−i31+i3−2ζ112ζ11−1+i31−i3−2ζ72ζ7000000000000000000000000000000000000000000000000000000000000
χ1314-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ7−4ζ74ζ11−4ζ110002+2i−2−2i2−2i−2+2i2+2i−2−2i2−2i−2+2i0000000002ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ10−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ112ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ10−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ1100000000002-22i−2i00000000−1+i31−i32ζ7−2ζ7−1−i31+i32ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1324-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ7−4ζ74ζ11−4ζ110002+2i−2−2i2−2i−2+2i−2−2i2+2i−2+2i2−2i0000000002ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ10−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ11−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ110000000000-22−2i2i000000001−i3−1+i3−2ζ72ζ71+i3−1−i3−2ζ112ζ11000000000000000000000000000000000000000000000000000000000000
χ1334-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ7−4ζ74ζ11−4ζ11000−2−2i2+2i−2+2i2−2i2+2i−2−2i2−2i−2+2i000000000−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ112ζ7−2ζ10−2ζ7+2ζ10−2ζ7−2ζ102ζ7+2ζ10−2ζ2+2ζ112ζ2−2ζ11−2ζ2−2ζ112ζ2+2ζ110000000000-22−2i2i000000001−i3−1+i3−2ζ72ζ71+i3−1−i3−2ζ112ζ11000000000000000000000000000000000000000000000000000000000000
χ1344-4−2+2i3−2−2i34i−4i2−2i32+2i34ζ7−4ζ74ζ11−4ζ11000−2−2i2+2i−2+2i2−2i−2−2i2+2i−2+2i2−2i000000000−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ11−2ζ7+2ζ102ζ7−2ζ102ζ7+2ζ10−2ζ7−2ζ102ζ2−2ζ11−2ζ2+2ζ112ζ2+2ζ11−2ζ2−2ζ1100000000002-22i−2i00000000−1+i31−i32ζ7−2ζ7−1−i31+i32ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1354-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ110002−2i−2+2i2+2i−2−2i2−2i−2+2i2+2i−2−2i000000000−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ11−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ1100000000002-2−2i2i00000000−1+i31−i3−2ζ72ζ7−1−i31+i3−2ζ112ζ11000000000000000000000000000000000000000000000000000000000000
χ1364-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ110002−2i−2+2i2+2i−2−2i−2+2i2−2i−2−2i2+2i000000000−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ110000000000-222i−2i000000001−i3−1+i32ζ7−2ζ71+i3−1−i32ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1374-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ11000−2+2i2−2i−2−2i2+2i2−2i−2+2i2+2i−2−2i0000000002ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ11−2ζ7−2ζ102ζ7+2ζ102ζ7−2ζ10−2ζ7+2ζ10−2ζ2−2ζ112ζ2+2ζ11−2ζ2+2ζ112ζ2−2ζ110000000000-222i−2i000000001−i3−1+i32ζ7−2ζ71+i3−1−i32ζ11−2ζ11000000000000000000000000000000000000000000000000000000000000
χ1384-4−2+2i3−2−2i3−4i4i2−2i32+2i3−4ζ74ζ7−4ζ114ζ11000−2+2i2−2i−2−2i2+2i−2+2i2−2i−2−2i2+2i0000000002ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ112ζ7+2ζ10−2ζ7−2ζ10−2ζ7+2ζ102ζ7−2ζ102ζ2+2ζ11−2ζ2−2ζ112ζ2−2ζ11−2ζ2+2ζ1100000000002-2−2i2i00000000−1+i31−i3−2ζ72ζ7−1−i31+i3−2ζ112ζ11000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.