Finite Group Databasebeta

← Group #11921266

Character table — Group #11921266

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order12222222344446666666121212121212121233666666666666664444444444444444336666666666666612121212121212121212121212121212121212121212121212121212121212124444444412121212121212121212121212121212
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
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ9111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-11111-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ10111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−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−i321−i321−i321−i321−i321111-1-1-1-1-1-1-1-111111+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ11111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-11111-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ12111111111-1-1-1-11111111-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+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+i321+i321+i321+i321+i321111-1-1-1-1-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ141111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ151111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i3211-1-111-1-1ii−i−iii−i−i−1−i32−1+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+i32−1+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−i3211-1-111-1-1ii−i−iii−i−iζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7
χ161111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i3211-1-111-1-1−i−iii−i−iii−1−i32−1+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+i32−1+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−i3211-1-111-1-1−i−iii−i−iii−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7
χ171111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i3211-1-111-1-1ii−i−iii−i−i−1+i32−1−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−i32−1−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+i3211-1-111-1-1ii−i−iii−i−iζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11
χ181111-1-1-1-1111-1-1-1-1-1-11111111-1-1-1-1−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i3211-1-111-1-1−i−iii−i−iii−1+i32−1−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−i32−1−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+i3211-1-111-1-1−i−iii−i−iii−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11
χ191111-1-1-1-11-1-111-1-1-1-1111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111ii−i−i−i−iii1111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ201111-1-1-1-11-1-111-1-1-1-1111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-111−i−iiiii−i−i1111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ211111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-1-111ii−i−i−i−iii−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−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+i3211-1-1-1-111ii−i−i−i−iiiζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7
χ221111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1+i321+i321+i321−i321−i3211-1-1-1-111−i−iiiii−i−i−1−i32−1+i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1+i321+i321+i32−1−i32−1−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+i3211-1-1-1-111−i−iiiii−i−i−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7
χ231111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-1-111ii−i−i−i−iii−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+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−i3211-1-1-1-111ii−i−i−i−iiiζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11
χ241111-1-1-1-11-1-111-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1−i321−i321−i321+i321+i3211-1-1-1-111−i−iiiii−i−i−1+i32−1−i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1−i321−i321−i32−1+i32−1+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−i3211-1-1-1-111−i−iiiii−i−i−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11
χ251-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i111-11-11-11-1-1-11-11-11-11-1i−ii−i1-11-1i−ii−i111-111-1-11-111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i1-11-1i−ii−i1-11-1i−ii−i
χ261-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i111-11-11-11-1-1-11-11-11-11-1i−ii−i-11-11−ii−ii111-111-1-11-111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i1-11-1i−ii−i-11-11−ii−ii-11-11−ii−ii-11-11−ii−ii
χ271-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321-11-1i−ii−i1-11-1i−ii−i−1−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-11-1i−ii−i1-11-1i−ii−i−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7
χ281-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321-11-1i−ii−i-11-11−ii−ii−1−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-11-1i−ii−i-11-11−ii−ii1+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ7
χ291-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321-11-1i−ii−i1-11-1i−ii−i−1+i32−1−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-11-1i−ii−i1-11-1i−ii−i−1+i321−i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32−1−i321+i32ζ11−ζ11ζ11−ζ11
χ301-11-11-11-11i−ii−i11-1-1-11-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321-11-1i−ii−i-11-11−ii−ii−1+i32−1−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-11-1i−ii−i-11-11−ii−ii1−i32−1+i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i32−1−i321+i32−1−i32−ζ11ζ11−ζ11ζ11
χ311-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii111-11-11-11-1-1-11-11-11-11-1−ii−ii1-11-1−ii−ii111-111-1-11-111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii1-11-1−ii−ii1-11-1−ii−ii
χ321-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii111-11-11-11-1-1-11-11-11-11-1−ii−ii-11-11i−ii−i111-111-1-11-111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii1-11-1−ii−ii-11-11i−ii−i-11-11i−ii−i-11-11i−ii−i
χ331-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321-11-1−ii−ii1-11-1−ii−ii−1−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-11-1−ii−ii1-11-1−ii−ii−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7
χ341-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii−1−i32−1+i32−1−i321+i32−1−i321+i32−1+i321−i32−1+i321−i321+i321−i32−1−i321+i32−1+i321−i321-11-1−ii−ii-11-11i−ii−i−1−i32−1+i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-11-1−ii−ii-11-11i−ii−i1+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ7
χ351-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321-11-1−ii−ii1-11-1−ii−ii−1+i32−1−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-11-1−ii−ii1-11-1−ii−ii−1+i321−i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−1−i321+i32−ζ11ζ11−ζ11ζ11
χ361-11-11-11-11−ii−ii11-1-1-11-1−i−iii−i−iii−1+i32−1−i32−1+i321−i32−1+i321−i32−1−i321+i32−1−i321+i321−i321+i32−1+i321−i32−1−i321+i321-11-1−ii−ii-11-11i−ii−i−1+i32−1−i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-11-1−ii−ii-11-11i−ii−i1−i32−1+i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i321+i32−1−i32ζ11−ζ11ζ11−ζ11
χ371-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii111-1-111-1-11-1-1-11-111-1-11i−i−iii−i−ii-111-1111-1-1-1111-1-1-111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−iii−i−ii-111-1i−i−ii-111-1i−i−ii-111-1
χ381-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii111-1-111-1-11-1-1-11-111-1-11i−i−ii−iii−i1-1-11111-1-1-1111-1-1-111-1-1i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii1-1-11i−i−ii−iii−i1-1-11−iii−i1-1-11−iii−i1-1-11
χ391-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321-1-11i−i−iii−i−ii-111-1−1−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71-1-11i−i−iii−i−ii-111-1ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32
χ401-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321-1-11i−i−ii−iii−i1-1-11−1−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71-1-11i−i−ii−iii−i1-1-11−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32
χ411-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321-1-11i−i−iii−i−ii-111-1−1+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111-1-11i−i−iii−i−ii-111-1ζ7−ζ7−ζ7ζ71−i32−1+i32−1+i321−i32ζ11−ζ11−ζ11ζ111+i32−1−i32−1−i321+i32
χ421-11-1-11-111i−i−ii-1-111-11-1ii−i−i−i−iii−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321-1-11i−i−ii−iii−i1-1-11−1+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ11ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111-1-11i−i−ii−iii−i1-1-11−ζ7ζ7ζ7−ζ7−1+i321−i321−i32−1+i32−ζ11ζ11ζ11−ζ11−1−i321+i321+i32−1−i32
χ431-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i111-1-111-1-11-1-1-11-111-1-11−iii−ii−i−ii1-1-11111-1-1-1111-1-1-111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−ii−i−ii1-1-11i−i−ii1-1-11i−i−ii1-1-11
χ441-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i111-1-111-1-11-1-1-11-111-1-11−iii−i−iii−i-111-1111-1-1-1111-1-1-111-1-1−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i1-1-11−iii−i−iii−i-111-1−iii−i-111-1−iii−i-111-1
χ451-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321-1-11−iii−ii−i−ii1-1-11−1−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71-1-11−iii−ii−i−ii1-1-11ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32
χ461-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i−1−i32−1+i32−1−i321+i321+i32−1−i32−1+i321−i321−i32−1+i321+i321−i321+i32−1−i321−i32−1+i321-1-11−iii−i−iii−i-111-1−1−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71-1-11−iii−i−iii−i-111-1−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32
χ471-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321-1-11−iii−ii−i−ii1-1-11−1+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111-1-11−iii−ii−i−ii1-1-11ζ7−ζ7−ζ7ζ7−1+i321−i321−i32−1+i32ζ11−ζ11−ζ11ζ11−1−i321+i321+i32−1−i32
χ481-11-1-11-111−iii−i-1-111-11-1−i−iiiii−i−i−1+i32−1−i32−1+i321−i321−i32−1+i32−1−i321+i321+i32−1−i321−i321+i321−i32−1+i321+i32−1−i321-1-11−iii−i−iii−i-111-1−1+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ11−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111-1-11−iii−i−iii−i-111-1−ζ7ζ7ζ7−ζ71−i32−1+i32−1+i321−i32−ζ11ζ11ζ11−ζ111+i32−1−i32−1−i321+i32
χ4922222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321−i32−1−i3−1−i3−1−i3−1−i3−1+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
χ5122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321+i32−1+i3−1+i3−1+i3−1+i3−1−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
χ5222222222-1-2-2-2-2-1-1-1-1-1-1-11111111122222222222222222222-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-11111000000000000000000000000
χ5322222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1−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+i32222-2-2-2-2000000001+i321−i321+i321+i321+i321+i321+i321+i321−i321−i321−i321−i321−i321−i321+i321−i321+i31+i31+i31+i31−i31−i31−i31−i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32-1-1-1-11111000000000000000000000000
χ5422222222-1-2-2-2-2-1-1-1-1-1-1-111111111−1+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−i32222-2-2-2-2000000001−i321+i321−i321−i321−i321−i321−i321−i321+i321+i321+i321+i321+i321+i321−i321+i321−i31−i31−i31−i31+i31+i31+i31+i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32-1-1-1-11111000000000000000000000000
χ552222-2-2-2-2-122-2-21111-1-1-1-1-1-1-111112222-2-222-2-222-2-2-2-222-2-222-2-200000000-1-1-1-11111-1-11111-1-122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-111-1-111000000000000000000000000
χ562222-2-2-2-2-122-2-21111-1-1-1-1-1-1-11111−1−i3−1+i3−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−i3−1+i31+i31+i31−i31−i322-2-222-2-2000000001+i321−i321+i321+i32−1−i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321−i32−1−i3−1−i31+i31+i3−1+i3−1+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
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.