Finite Group Databasebeta

← Group #11921275

Character table — Group #11921275

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order12224444344446661212121212121212121212123366666612121212121212122244444488888888336666661212121212121212121212121212121212121212121212121212121212121212661212121212128888888824242424242424242424242424242424
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
χ7111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ8111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
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+i32-1-11111-1-11111-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32−1−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−i32-1-11111-1-11111-1-1-1-1−1−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+i32-1-11111-1-1-1-1-1-11111−1−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−i32-1-11111-1-1-1-1-1-111111+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−i32-1-11111-1-11111-1-1-1-1−1+i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32−1+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+i32-1-11111-1-11111-1-1-1-1−1+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−i32-1-11111-1-1-1-1-1-11111−1+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+i32-1-11111-1-1-1-1-1-111111−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ131111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−i1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ141111-1-1-1-1111-1-1111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii1111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
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−i321111-1-1-1-1ii−i−iii−i−i−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−i321111-1-1-1-1ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
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−i321111-1-1-1-1−i−iii−i−iii−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−i321111-1-1-1-1−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
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+i321111-1-1-1-1ii−i−iii−i−i−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+i321111-1-1-1-1ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
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+i321111-1-1-1-1−i−iii−i−iii−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+i321111-1-1-1-1−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ191111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111ii−i−i−i−iii11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ201111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-111−i−iiiii−i−i11111111-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
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−i32-1-111-1-111ii−i−i−i−iii−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+i32-1-111-1-111ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
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−i32-1-111-1-111−i−iiiii−i−i−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−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
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+i32-1-111-1-111ii−i−i−i−iii−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−i32-1-111-1-111ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
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+i32-1-111-1-111−i−iiiii−i−i−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−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ2511-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i111-1-11-1-1i−ii−ii−ii−i1-11-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13111-1-11-1-11-1i−i1-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-11-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ2611-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i111-1-11-1-1i−ii−ii−ii−i1-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13111-1-11-1-11-1i−i1-1i−iii−i−i11-1-1ii−i−iii−i−i11-1-1ii−i−i1-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13
χ2711-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ141-11-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i32ζ22−ζ22−1+i321−i32ζ14−ζ14ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141-11-1i−ii−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5
χ2811-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ141-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i32ζ22−ζ22−1+i321−i32ζ14−ζ14ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ141-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5
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χ3011-1-1i−ii−i11-1i−i1-1-1ii−i−i11-1-1ii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ221-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−1+i321−i32ζ14−ζ14−1−i321+i32ζ22−ζ22ζ14ζ14−ζ14−ζ14−1+i32−1+i321−i321−i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22−1−i32−1−i321+i321+i32ζ22ζ22−ζ22−ζ221-11-1i−ii−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13
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χ3211-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii111-1-11-1-1i−ii−ii−ii−i-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13111-1-11-1-1-11−ii-11−iiii−i−i-1-111−i−iiiii−i−i-1-111−i−iii-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13
χ3311-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14-111-1i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i32−1−i32−ζ22ζ221−i32−1+i32−ζ14ζ14ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14-111-1i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5
χ3411-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32ζ22−ζ22ζ14−ζ14ζ22−ζ22ζ14−ζ14-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i321+i32−1−i32−ζ22ζ221−i32−1+i32−ζ14ζ14ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5
χ3511-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22-111-1i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32−ζ14ζ141+i32−1−i32−ζ22ζ22ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22-111-1i−i−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13
χ3611-1-1i−ii−i1-11−ii1-1-1ii−i−i-1-111−i−iii−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32ζ14−ζ14ζ22−ζ22ζ14−ζ14ζ22−ζ22-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32−ζ14ζ141+i32−1−i32−ζ22ζ22ζ14ζ14−ζ14−ζ141−i321−i32−1+i32−1+i32−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ221+i321+i32−1−i32−1−i32−ζ22−ζ22ζ22ζ22-111-1i−i−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13
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χ3911-1-1−ii−ii11-1−ii1-1-1−i−iii11-1-1−i−iii−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−ζ22ζ22−ζ14ζ14−ζ22ζ22−ζ14ζ141-11-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1+i32−1−i321+i321+i32−1+i321−i321−i32−1−i321+i32−ζ22ζ22−1+i321−i32−ζ14ζ14−ζ22−ζ22ζ22ζ22−1−i32−1−i321+i321+i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−1+i32−1+i321−i321−i32−ζ14−ζ14ζ14ζ141-11-1−ii−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23
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χ4711-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22-111-1−iii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32ζ14−ζ141+i32−1−i32ζ22−ζ22−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22-111-1−iii−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7
χ4811-1-1−ii−ii1-11i−i1-1-1−i−iii-1-111ii−i−i−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i32−ζ14ζ14−ζ22ζ22−ζ14ζ14−ζ22ζ22-111-1−iii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1−i32−1+i321−i321−i32−1−i321+i321+i321−i32−1+i32ζ14−ζ141+i32−1−i32ζ22−ζ22−ζ14−ζ14ζ14ζ141−i321−i32−1+i32−1+i32ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ221+i321+i32−1−i32−1−i32ζ22ζ22−ζ22−ζ22-111-1−iii−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7
χ4922222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222222222222222222200000000-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.