Finite Group Databasebeta

← Group #11923380

Character table — Group #11923380

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order12224444223446666666121212121212121233666666121212121212121222224444444444443366666666666666666612121212121212121212121212121212121212126666121212124444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ41111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3211111111-1-1-1-1-1-1-1-11+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32
χ51111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ61111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3211111111-1-1-1-1-1-1-1-11−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32
χ711111111-1-11-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ811111111-1-11-1-111-1-1-1-111111-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-111-1-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-111-1-11111-1-1-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−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−i3211-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ1011111111-1-11-1-111-1-1-1-111111-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-111-1-1-1-1-1-11111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−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−i3211-1-111-1-1-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ1111111111-1-11-1-111-1-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-111-1-11111-1-1-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+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+i3211-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1211111111-1-11-1-111-1-1-1-111111-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-111-1-1-1-1-1-11111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+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+i3211-1-111-1-1-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-111-1-1
χ141111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-111-1-111
χ151111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-1111111-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1111111-1-111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ161111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-11111-1-111-1-111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-11111-1-111-1-1111+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ171111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-1111111-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1111111-1-111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ181111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-11111-1-111-1-111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-11111-1-111-1-1111−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ191111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111
χ201111-1-1-1-1-1-111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ211111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111-1-111-1-1-1-111−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-111-1-1-1-111−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ221111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-11111-1-1-1-11111-1-1−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-1-1-11111-1-11+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ231111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111-1-111-1-1-1-111−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-111-1-1-1-111−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-1-1-111111-1-1-1-11-1-1-1-11111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-11111-1-1-1-11111-1-1−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-1-1-11111-1-11−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2511-1-111-1-11-111-1-1-111-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-11-1i−ii−ii−ii−i111-11-1-1-111-1-1-1-111-1-1111-11-111-1-111-1-111-1-111-1-11-11-11-11-1i−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−i
χ2611-1-111-1-11-111-1-1-111-1-1111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-11-1−ii−ii−ii−ii111-11-1-1-111-1-1-1-111-1-1111-11-111-1-111-1-111-1-111-1-11-11-11-11-1−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii−ii
χ2711-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-11-11-1i−ii−ii−ii−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-11-11-1i−ii−ii−ii−iζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7
χ2811-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-11-11-1−ii−ii−ii−ii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321-11-11-11-1−ii−ii−ii−ii−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7
χ2911-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-11-11-1i−ii−ii−ii−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-11-11-1i−ii−ii−ii−iζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11
χ3011-1-111-1-11-111-1-1-111-1-1111-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-11-11-1−ii−ii−ii−ii−1+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321-11-11-11-1−ii−ii−ii−ii−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ11ζ11−ζ11ζ11
χ3111-1-111-1-1-111-11-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-111-1-11-1-111-1-11i−ii−i−ii−ii11-11-11-1-1-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-1111-1-111-1-11i−ii−i−ii−iii−ii−i−ii−iii−ii−i−ii−ii
χ3211-1-111-1-1-111-11-1-1-1-111111-1-1-1-1111111-1-1-1-111-1-111-1-11-1-111-1-11−ii−iii−ii−i11-11-11-1-1-1-111-1-1-1-11111-11-1111-1-1-1-11111-1-1-1-1111-1-111-1-11−ii−iii−ii−i−ii−iii−ii−i−ii−iii−ii−i
χ3311-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111-1-11i−ii−i−ii−ii−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i32−1−i321−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+i321-1-111-1-11i−ii−i−ii−iiζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7
χ3411-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111-1-11−ii−iii−ii−i−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i321+i32−1−i321−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+i321-1-111-1-11−ii−iii−ii−i−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7
χ3511-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111-1-11i−ii−i−ii−ii−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i32−1+i321+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−i321-1-111-1-11i−ii−i−ii−iiζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ11ζ11
χ3611-1-111-1-1-111-11-1-1-1-111111-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111-1-11−ii−iii−ii−i−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i321−i32−1+i321+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−i321-1-111-1-11−ii−iii−ii−i−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ11−ζ11
χ3711-1-1-1-1111-11-11-1-111-1-11-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111-11-1i−i−iii−i−ii111-11-1-1-111-1-1-1-111-1-111-11-11-1-111-1-111-1-111-1-111-11-111-11-1i−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii
χ3811-1-1-1-1111-11-11-1-111-1-11-1-111-1-1111111-1-1-1-1-1-111-1-111-11-111-11-1−iii−i−iii−i111-11-1-1-111-1-1-1-111-1-111-11-11-1-111-1-111-1-111-1-111-11-111-11-1−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i
χ3911-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111-11-1i−i−iii−i−ii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-111-11-1i−i−iii−i−iiζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7
χ4011-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111-11-1−iii−i−iii−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32-11-111-11-1−iii−i−iii−i−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7
χ4111-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111-11-1i−i−iii−i−ii−1+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-111-11-1i−i−iii−i−iiζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11
χ4211-1-1-1-1111-11-11-1-111-1-11-1-111-1-111−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111-11-1−iii−i−iii−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32-11-111-11-1−iii−i−iii−i−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11
χ4311-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-111-111-11-1-11i−i−ii−iii−i11-11-11-1-1-1-111-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1-111-11-1-11i−i−ii−iii−ii−i−ii−iii−ii−i−ii−iii−i
χ4411-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-11111-1-1-1-1-1-111-1-111-111-11-1-11−iii−ii−i−ii11-11-11-1-1-1-111-1-1-1-111111-11-1-1-11111-1-1-1-11111-1-1-111-11-1-11−iii−ii−i−ii−iii−ii−i−ii−iii−ii−i−ii
χ4511-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11-1-11i−i−ii−iii−i−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i32−1+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−i32-111-11-1-11i−i−ii−iii−iζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11ζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7
χ4611-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11-1-11−iii−ii−i−ii−1−i32−1+i321+i32−1−i321−i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1+i32−1−i321+i32−1+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−i32-111-11-1-11−iii−ii−i−ii−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7
χ4711-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11-1-11i−i−ii−iii−i−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i32−1−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+i32-111-11-1-11i−i−ii−iii−iζ7−ζ7−ζ7ζ7−ζ7ζ7ζ7−ζ7ζ11−ζ11−ζ11ζ11−ζ11ζ11ζ11−ζ11
χ4811-1-1-1-111-1111-1-1-1-1-1111-1-11111-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11-1-11−iii−ii−i−ii−1+i32−1−i321−i32−1+i321+i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1−i32−1+i321−i32−1−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+i32-111-11-1-11−iii−ii−i−ii−ζ7ζ7ζ7−ζ7ζ7−ζ7−ζ7ζ7−ζ11ζ11ζ11−ζ11ζ11−ζ11−ζ11ζ11
χ492222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222222200000000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ502222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i322222222000000001+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321−i32−1−i3−1−i3−1+i3−1+i31+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i32-1-1-1-1-1-1-1-1000000000000000000000000
χ512222222222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i322222222000000001−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321+i32−1+i3−1+i3−1−i3−1−i31−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1000000000000000000000000
χ5222222222-2-2-1-2-2-1-11111-1-1-1-1-11111222222222222222222-2-222-2-200000000-1-1-2-2-2-2-1-11111-1-11111-1-1-2-2-2-2-1-1-1-11111-1-1-1-11111-1-111-1-111000000000000000000000000
χ5322222222-2-2-1-2-2-1-11111-1-1-1-1-11111−1−i3−1+i3−1−i3−1+i3−1−i3−1−i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i322-2-222-2-2000000001+i321−i321+i31+i31−i31−i31+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321−i321+i31+i31−i31−i31+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-111000000000000000000000000
χ5422222222-2-2-1-2-2-1-11111-1-1-1-1-11111−1+i3−1−i3−1+i3−1−i3−1+i3−1+i3−1−i3−1−i3−1+i3−1+i3−1+i3−1+i3−1−i3−1−i3−1−i3−1−i322-2-222-2-2000000001−i321+i321−i31−i31+i31+i31−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321+i321−i31−i31+i31+i31−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-111000000000000000000000000
χ552222-2-2-2-222-1-2-2-1-1-1-1-1-1-11111111122222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111111111111-1-1-1-1000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.