Finite Group Databasebeta

← Group #11923199

Character table — Group #11923199

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order1222444434444666121212121212121212121212336666661212121212121212222244444444444433666666121212121212121212121212121212121212121212121212121212121212121266121212121212224444446666121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
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+i3211-1-1111111-1-1-1-1-1-1−1−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−i3211-1-1111111-1-1-1-1-1-1−1+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
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111
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+i32111111-1-1-1-111-1-1-1-1−1−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+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321+i321+i321+i321+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+i3211-1-111-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−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−i321111-1-1-1-1-1-1-1-111111+i321+i321−i321−i321+i321+i32−1−i32−1−i32−1−i32−1−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−i32111111-1-1-1-111-1-1-1-1−1+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−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321−i321−i321−i321−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−i3211-1-111-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+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+i321111-1-1-1-1-1-1-1-111111−i321−i321+i321+i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1
χ141111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111
χ151111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1111111-1-1-1-111-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32-1-11111-1-1-1-11111-1-1−1−i32−1−i32−1+i32−1+i321+i321+i32−1−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321−i321−i32
χ161111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1−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−i321+i321+i32−1+i32−1+i321−i321−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+i321−i321−i321−i321−i32-1-11111-1-111-1-1-1-1111+i321+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ171111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1111111-1-1-1-111-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32-1-11111-1-1-1-11111-1-1−1+i32−1+i32−1−i32−1−i321−i321−i32−1+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321+i321+i32
χ181111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-1−1+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+i321−i321−i32−1−i32−1−i321+i321+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−i321+i321+i321+i321+i32-1-11111-1-111-1-1-1-1111−i321−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ191111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111
χ201111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-1-1-1-1-11111-1-11111-1-1
χ211111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−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+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-111-1-111-1-111−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i32
χ221111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111-1-1111111-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i32−1−i32−1−i321−i321−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−i32−1+i32−1+i32−1+i32−1+i32-1-111-1-11111-1-111-1-11+i321+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ231111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+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−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-111-1-111-1-111−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32
χ241111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111-1-1111111-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i32−1+i32−1+i321+i321+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+i32−1−i32−1−i32−1−i32−1−i32-1-111-1-11111-1-111-1-11−i321−i321+i321+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ2511-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i111-1-11-1-111-1-111-1-11-11-11-1i−ii−i1-1i−ii−i111-1-11-1-1i−ii−ii−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i1-11-1i−ii−i1-11-11-1i−ii−i1-1i−ii−i
χ2611-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i111-1-11-1-111-1-111-1-11-1-111-1i−ii−i-11−ii−ii111-1-11-1-1i−ii−ii−ii−i11-1-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-11-1i−ii−i-11-11−ii−ii-11-11-11−ii−ii-11−ii−ii
χ2711-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-11-1i−ii−i1-1i−ii−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-11-1i−ii−i1-11-1i−ii−i−1−i321+i32−1+i321−i32−1−i321+i32ζ11−ζ11ζ11−ζ11−1+i321−i32ζ7−ζ7ζ7−ζ7
χ2811-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111-1i−ii−i-11−ii−ii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11ζ11−ζ11ζ7−ζ7ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ71-11-1i−ii−i-11-11−ii−ii1+i32−1−i321−i32−1+i321+i32−1−i32−ζ11ζ11−ζ11ζ111−i32−1+i32−ζ7ζ7−ζ7ζ7
χ2911-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-11-1i−ii−i1-1i−ii−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-11-1i−ii−i1-11-1i−ii−i−1+i321−i32−1−i321+i32−1+i321−i32ζ7−ζ7ζ7−ζ7−1−i321+i32ζ11−ζ11ζ11−ζ11
χ3011-1-111-1-11i−ii−i1-1-111-1-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111-1i−ii−i-11−ii−ii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ7−ζ7ζ7−ζ7ζ11−ζ11ζ11−ζ11−1+i32−1+i321−i321−i32ζ7ζ7−ζ7−ζ7ζ7ζ7−ζ7−ζ7−1−i32−1−i321+i321+i32ζ11ζ11−ζ11−ζ11ζ11ζ11−ζ11−ζ111-11-1i−ii−i-11-11−ii−ii1−i32−1+i321+i32−1−i321−i32−1+i32−ζ7ζ7−ζ7ζ71+i32−1−i32−ζ11ζ11−ζ11ζ11
χ3111-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii111-1-11-1-111-1-111-1-11-11-11-1−ii−ii1-1−ii−ii111-1-11-1-1−ii−ii−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-11-1−ii−ii1-11-1−ii−ii1-11-11-1−ii−ii1-1−ii−ii
χ3211-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii111-1-11-1-111-1-111-1-11-1-111-1−ii−ii-11i−ii−i111-1-11-1-1−ii−ii−ii−ii11-1-1−i−iii−i−iii11-1-1−i−iii−i−iii1-11-1−ii−ii-11-11i−ii−i-11-11-11i−ii−i-11i−ii−i
χ3311-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-11-11-1−ii−ii1-1−ii−ii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-11-1−ii−ii1-11-1−ii−ii−1−i321+i32−1+i321−i32−1−i321+i32−ζ11ζ11−ζ11ζ11−1+i321−i32−ζ7ζ7−ζ7ζ7
χ3411-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i321-1-111-1−ii−ii-11i−ii−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−ζ11ζ11−ζ11ζ11−ζ7ζ7−ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ71-11-1−ii−ii-11-11i−ii−i1+i32−1−i321−i32−1+i321+i32−1−i32ζ11−ζ11ζ11−ζ111−i32−1+i32ζ7−ζ7ζ7−ζ7
χ3511-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-11-11-1−ii−ii1-1−ii−ii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-11-1−ii−ii1-11-1−ii−ii−1+i321−i32−1−i321+i32−1+i321−i32−ζ7ζ7−ζ7ζ7−1−i321+i32−ζ11ζ11−ζ11ζ11
χ3611-1-111-1-11−ii−ii1-1-111-1-1−i−iii−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i321-1-111-1−ii−ii-11i−ii−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ7ζ7−ζ7ζ7−ζ11ζ11−ζ11ζ11−1+i32−1+i321−i321−i32−ζ7−ζ7ζ7ζ7−ζ7−ζ7ζ7ζ7−1−i32−1−i321+i321+i32−ζ11−ζ11ζ11ζ11−ζ11−ζ11ζ11ζ111-11-1−ii−ii-11-11i−ii−i1−i32−1+i321+i32−1−i321−i32−1+i32ζ7−ζ7ζ7−ζ71+i32−1−i32ζ11−ζ11ζ11−ζ11
χ3711-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii111-1-11-1-1-1-111-1-111-111-11-1i−i−ii-11i−i−ii111-1-11-1-1i−i−iii−i−ii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii-111-1i−i−ii-111-1i−i−ii1-11-1-11i−i−ii-11i−i−ii
χ3811-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii111-1-11-1-1-1-111-1-111-11-111-1i−i−ii1-1−iii−i111-1-11-1-1i−i−iii−i−ii-1-111ii−i−i−i−iii-1-111ii−i−i−i−iii-111-1i−i−ii1-1-11−iii−i-11-111-1−iii−i1-1−iii−i
χ3911-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11-1i−i−ii-11i−i−ii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7-111-1i−i−ii-111-1i−i−ii−1−i321+i32−1+i321−i321+i32−1−i32ζ11−ζ11−ζ11ζ111−i32−1+i32ζ7−ζ7−ζ7ζ7
χ4011-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-11-111-1i−i−ii1-1−iii−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ11−ζ11−ζ11ζ11ζ7−ζ7−ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ7-111-1i−i−ii1-1-11−iii−i1+i32−1−i321−i32−1+i32−1−i321+i32−ζ11ζ11ζ11−ζ11−1+i321−i32−ζ7ζ7ζ7−ζ7
χ4111-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11-1i−i−ii-11i−i−ii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11-111-1i−i−ii-111-1i−i−ii−1+i321−i32−1−i321+i321−i32−1+i32ζ7−ζ7−ζ7ζ71+i32−1−i32ζ11−ζ11−ζ11ζ11
χ4211-1-1-1-1111i−i−ii1-1-1-1-111ii−i−i−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111-1i−i−ii1-1−iii−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ7−ζ7−ζ7ζ7ζ11−ζ11−ζ11ζ111−i321−i32−1+i32−1+i32ζ7ζ7−ζ7−ζ7−ζ7−ζ7ζ7ζ71+i321+i32−1−i32−1−i32ζ11ζ11−ζ11−ζ11−ζ11−ζ11ζ11ζ11-111-1i−i−ii1-1-11−iii−i1−i32−1+i321+i32−1−i32−1+i321−i32−ζ7ζ7ζ7−ζ7−1−i321+i32−ζ11ζ11ζ11−ζ11
χ4311-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i111-1-11-1-1-1-111-1-111-111-11-1−iii−i-11−iii−i111-1-11-1-1−iii−i−iii−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i-111-1−iii−i-111-1−iii−i1-11-1-11−iii−i-11−iii−i
χ4411-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i111-1-11-1-1-1-111-1-111-11-111-1−iii−i1-1i−i−ii111-1-11-1-1−iii−i−iii−i-1-111−i−iiiii−i−i-1-111−i−iiiii−i−i-111-1−iii−i1-1-11i−i−ii-11-111-1i−i−ii1-1i−i−ii
χ4511-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i321+i32−1−i32−1−i321−i321−i32−1+i32−1+i32-111-11-1−iii−i-11−iii−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−ζ11ζ11ζ11−ζ11−ζ7ζ7ζ7−ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ7-111-1−iii−i-111-1−iii−i−1−i321+i32−1+i321−i321+i32−1−i32−ζ11ζ11ζ11−ζ111−i32−1+i32−ζ7ζ7ζ7−ζ7
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χ4711-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-111-11-1−iii−i-11−iii−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11-111-1−iii−i-111-1−iii−i−1+i321−i32−1−i321+i321−i32−1+i32−ζ7ζ7ζ7−ζ71+i32−1−i32−ζ11ζ11ζ11−ζ11
χ4811-1-1-1-1111−iii−i1-1-1-1-111−i−iiiii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i321−i32−1+i32−1+i321+i321+i32−1−i32−1−i32-11-111-1−iii−i1-1i−i−ii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ7ζ7ζ7−ζ7−ζ11ζ11ζ11−ζ111−i321−i32−1+i32−1+i32−ζ7−ζ7ζ7ζ7ζ7ζ7−ζ7−ζ71+i321+i32−1−i32−1−i32−ζ11−ζ11ζ11ζ11ζ11ζ11−ζ11−ζ11-111-1−iii−i1-1-11i−i−ii1−i32−1+i321+i32−1−i32−1+i321−i32ζ7−ζ7−ζ7ζ7−1−i321+i32ζ11−ζ11−ζ11ζ11
χ4922222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222200222222000000-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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+i322002222220000001+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−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−i322002222220000001−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+i321+i321+i321+i321+i321+i321+i321+i321+i32-1-1-1-1-1-1-1-1000000000000000000000000
χ5222222222-1-2-2-2-2-1-1-1-1-1-1-1111111112222222222222222220022-2-2-2-2000000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-1-1-1-11111000000000000000000000000
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+i3220022-2-2-2-20000001+i321−i321+i321+i321+i321−i321−i321−i321+i31+i31+i31+i31−i31−i31−i31−i31+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+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−i3220022-2-2-2-20000001−i321+i321−i321−i321−i321+i321+i321+i321−i31−i31−i31−i31+i31+i31+i31+i31−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−i32-1-1-1-11111000000000000000000000000
χ552222-2-2-2-2-122-2-2-1-1-11111-1-1-1-1111122222222-2-2-2-2-2-2-2-2-2-2002222-2-2000000-1-1-1-1-1-1-1-122-2-222-2-21111-1-1-1-111111111-1-1-1-1111111-1-1-1-111000000000000000000000000
χ562222-2-2-2-2-122-2-2-1-1-11111-1-1-1-11111−1−i3−1+i3−1−i3−1−i3−1−i3−1+i3−1+i3−1+i31+i31+i31+i31+i31−i31−i31−i31−i3-2-2002222-2-20000001+i321−i321+i321+i321+i321−i321−i321−i32−1−i3−1−i31+i31+i3−1+i3−1+i31−i31−i3−1−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−i32−1+i32−1+i32−1+i32−1+i3211-1-1-1-111000000000000000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.