Finite Group Databasebeta

← Group #11921260

Character table — Group #11921260

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444666666666666666688888888888888888888888888888888888888881212121212121212181818181818181824242424242424242424242424242424
order122244442234466666661212121212121212336666661212121212121212444444448888888833666666666666666666121212121212121212121212121212121212121212121212121212128888888824242424242424242424242424242424
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
χ711111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ811111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111
χ911111111-1-11-1-1-1-1-1-11111111-1-1-1-1−1−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+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−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
χ1011111111-1-11-1-1-1-1-1-11111111-1-1-1-1−1−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+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−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
χ1111111111-1-11-1-1-1-1-1-11111111-1-1-1-1−1+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−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+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
χ1211111111-1-11-1-1-1-1-1-11111111-1-1-1-1−1+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−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+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
χ131111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−i11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−i
χ141111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii−i−iii−i−iii
χ151111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-111-1-1ii−i−iii−i−i−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i3211-1-111-1-1ii−i−iii−i−iζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14
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−i3211-1-111-1-1−i−iii−i−iii−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−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−i3211-1-111-1-1−i−iii−i−iii−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14
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+i3211-1-111-1-1ii−i−iii−i−i−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i3211-1-111-1-1ii−i−iii−i−iζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22
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+i3211-1-111-1-1−i−iii−i−iii−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+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+i3211-1-111-1-1−i−iii−i−iii−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22
χ191111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111ii−i−i−i−iii11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111ii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iii
χ201111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111−i−iiiii−i−i11-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i
χ211111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111ii−i−i−i−iii−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+i3211-1-1-1-111ii−i−i−i−iiiζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14
χ221111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i3211-1-1-1-111−i−iiiii−i−i−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+i3211-1-1-1-111−i−iiiii−i−i−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14
χ231111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111ii−i−i−i−iii−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−i3211-1-1-1-111ii−i−i−i−iiiζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22
χ241111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i3211-1-1-1-111−i−iiiii−i−i−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−i3211-1-1-1-111−i−iiiii−i−i−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22
χ251-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i111-11-1-1-1ii−i−iii−i−i1-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13111-11-11-111-1-11-111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-1i−i1-1i−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
χ261-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i111-11-1-1-1ii−i−iii−i−i1-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13111-11-11-111-1-11-111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i1-1i−i1-1i−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
χ271-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32ζ22−ζ22ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5
χ281-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32ζ22−ζ22ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ141-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ23−ζ23−ζ5ζ5ζ23−ζ23−ζ5ζ5
χ291-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32ζ14−ζ14ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221-1i−i1-1i−iζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ13−ζ13
χ301-11-1ii−i−i1-11i−i11-1-1-11-1ii−i−iii−i−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i1-1i−i−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32ζ14−ζ14ζ22−ζ22ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ221-1i−i1-1i−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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χ321-11-1ii−i−i-111−ii-1-111-11-1ii−i−i−i−iii111-11-1-1-1ii−i−iii−i−i1-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ1311-11-111-1-1-1111-1-1-111-1-1−ii−iiii−i−i−i−iiiii−i−i−i−iii1-1i−i-11−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
χ331-11-1ii−i−i-111−ii-1-111-11-1ii−i−i−i−iii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5
χ341-11-1ii−i−i-111−ii-1-111-11-1ii−i−i−i−iii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32ζ22ζ22−ζ22−ζ22ζ14ζ14−ζ14−ζ141-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32−ζ22ζ22−ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7−ζ7−ζ13ζ13−ζ7ζ7ζ13−ζ13ζ23−ζ23−ζ5ζ5−ζ23ζ23ζ5−ζ5
χ351-11-1ii−i−i-111−ii-1-111-11-1ii−i−i−i−iii−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221-1i−i-11−iiζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ23ζ23ζ5−ζ5ζ23−ζ23−ζ5ζ5−ζ7ζ7ζ13−ζ13ζ7−ζ7−ζ13ζ13
χ361-11-1ii−i−i-111−ii-1-111-11-1ii−i−i−i−iii−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32ζ14ζ14−ζ14−ζ14ζ22ζ22−ζ22−ζ221-1i−i-11−ii−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32−ζ14ζ14−ζ22ζ22ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ14ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221-1i−i-11−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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χ381-11-1−i−iii1-11−ii11-1-1-11-1−i−iii−i−iii111-11-1-1-1−i−iii−i−iii1-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23111-11-11-111-1-11-111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii1-1−ii1-1−iiζ5+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−ζ7−ζ23ζ7+ζ23
χ391-11-1−i−iii1-11−ii11-1-1-11-1−i−iii−i−iii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32−ζ22ζ22−ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23
χ401-11-1−i−iii1-11−ii11-1-1-11-1−i−iii−i−iii−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1+i32−1−i321+i32−1+i321−i32−1−i321+i32−1−i32−1−i321+i321+i32−1+i321−i32−1+i32−1+i321−i321−i321+i321−i32−ζ22ζ22−ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ141-1−ii1-1−iiζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ13ζ13ζ7−ζ7−ζ13ζ13ζ7−ζ7−ζ5ζ5ζ23−ζ23−ζ5ζ5ζ23−ζ23
χ411-11-1−i−iii1-11−ii11-1-1-11-1−i−iii−i−iii−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1−i32−1+i321−i32−1−i321+i32−1+i321−i32−1+i32−1+i321−i321−i32−1−i321+i32−1−i32−1−i321+i321+i321−i321+i32−ζ14ζ14−ζ22ζ22−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ221-1−ii1-1−ii−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5−ζ5−ζ23ζ23ζ5−ζ5−ζ23ζ23ζ13−ζ13−ζ7ζ7ζ13−ζ13−ζ7ζ7
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χ451-11-1−i−iii-111i−i-1-111-11-1−i−iiiii−i−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23
χ461-11-1−i−iii-111i−i-1-111-11-1−i−iiiii−i−i−1−i32−1+i32−1−i321+i32−1+i321−i321+i321−i32−ζ22−ζ22ζ22ζ22−ζ14−ζ14ζ14ζ141-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1−i32−1+i321+i32−1−i321−i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i321+i321−i32ζ22−ζ22ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23
χ471-11-1−i−iii-111i−i-1-111-11-1−i−iiiii−i−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221-1−ii-11i−i−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23ζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23ζ5−ζ5−ζ23ζ23−ζ5ζ5ζ23−ζ23ζ13−ζ13−ζ7ζ7−ζ13ζ13ζ7−ζ7
χ481-11-1−i−iii-111i−i-1-111-11-1−i−iiiii−i−i−1+i32−1−i32−1+i321−i32−1−i321+i321−i321+i32−ζ14−ζ14ζ14ζ14−ζ22−ζ22ζ22ζ221-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−1+i32−1−i321−i32−1+i321+i32−1−i32−1+i321−i321−i321−i32−1+i32−1+i32−1−i321+i321+i321+i32−1−i32−1−i321−i321+i32ζ14−ζ14ζ22−ζ22−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ14−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221-1−ii-11i−iζ5+ζ13−ζ5−ζ13−ζ7−ζ23ζ7+ζ23−ζ5−ζ13ζ5+ζ13ζ7+ζ23−ζ7−ζ23−ζ5ζ5ζ23−ζ23ζ5−ζ5−ζ23ζ23−ζ13ζ13ζ7−ζ7ζ13−ζ13−ζ7ζ7
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.