Finite Group Databasebeta

← Group #10631685

Character table — Group #10631685

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111222222222222222222222222222444444444444444444444444444444444444444444444444444444444444444444444444444444444161616161616161616161616161616161616161616161616
order1233662224444666666881212121212121212242424242244666688888881212121216161616161616161616161616161616242424242424242424242424242448484848484848484848484848484848484848484848484848484848484848484444888812121212121212122424242424242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ9111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i
χ10111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-111-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii
χ11111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii
χ12111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-111-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i
χ13111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii
χ14111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-111-1-111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i
χ15111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i
χ16111111-1-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11-1-11111-1-1-111-1-111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii
χ1711−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211111111−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ1811−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−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−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-1-1-1-1-1-1-11+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i32
χ1911−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−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−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32
χ2011−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1−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+i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i32-1-1-1-111111+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32
χ2111−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32111-1-1-1-11+i321−i321+i321−i3211111111-1-1-1-1-1-1-1-1−1−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−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−i3211-1-111-1-1−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2211−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32111-1-1-1-11+i321−i321+i321−i3211111111-1-1-1-1-1-1-1-1−1−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−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−i32-1-111-1-1111+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2311−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32111-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i3211-1-1-1-111−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i321+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32
χ2411−1−i32−1+i32−1−i32−1+i321111111−1−i32−1−i32−1+i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-11+i321−i321+i321−i32111-1-1-1-11+i321−i321+i321−i32-1-1-1-1-1-1-1-111111111−1−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−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32-1-11111-1-11+i321−i321+i321−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i321+i321−i321+i321−i32
χ2511−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i3211-111-1-1−1−i32−1+i321+i321−i32iiii−i−i−i−iiiii−i−i−i−i−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ141-11-1i−ii−i−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14
χ2611−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i3211-111-1-1−1−i32−1+i321+i321−i32iiii−i−i−i−iiiii−i−i−i−i−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14-11-11−ii−ii1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14
χ2711−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i3211-111-1-1−1−i32−1+i321+i321−i32−i−i−i−iiiii−i−i−i−iiiii−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ141-11-1−ii−ii−1−i32−1+i321+i321−i32−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14−ζ22−ζ14ζ22ζ14
χ2811−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i321-11-1−1−i32−1+i321+i321−i3211-111-1-1−1−i32−1+i321+i321−i32−i−i−i−iiiii−i−i−i−iiiii−1−i32−1−i32−1+i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14-11-11i−ii−i1+i321−i32−1−i32−1+i321+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14ζ22ζ14−ζ22−ζ14
χ2911−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i3211-1-1-1111+i321−i32−1−i32−1+i32iiii−i−i−i−i−i−i−i−iiiii−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ141-1-11i−i−ii−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ3011−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i3211-1-1-1111+i321−i32−1−i32−1+i32iiii−i−i−i−i−i−i−i−iiiii−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14-111-1−iii−i1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ3111−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i3211-1-1-1111+i321−i32−1−i32−1+i32−i−i−i−iiiiiiiii−i−i−i−i−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ141-1-11−iii−i−1−i32−1+i321+i321−i321+i321−i32−1−i32−1+i32−ζ22−ζ14ζ22ζ14ζ22ζ14−ζ22−ζ14
χ3211−1−i32−1+i32−1−i32−1+i32-1-1111-1-11+i321+i321−i321−i32−1−i32−1+i32-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32-11-111+i321−i32−1−i32−1+i3211-1-1-1111+i321−i32−1−i32−1+i32−i−i−i−iiiiiiiii−i−i−i−i−1−i32−1−i32−1+i32−1+i321+i321−i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i32−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14-111-1i−i−ii1+i321−i32−1−i32−1+i32−1−i32−1+i321+i321−i32ζ22ζ14−ζ22−ζ14−ζ22−ζ14ζ22ζ14
χ3311−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211111111−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3411−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+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+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-1-1-1-1-1-1-11−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i321−i321+i32
χ3511−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+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+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32
χ3611−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−1+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−i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i321−i321−i321−i321−i321+i321+i321+i321+i32-1-1-1-111111−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32
χ3711−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32111-1-1-1-11−i321+i321−i321+i3211111111-1-1-1-1-1-1-1-1−1+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+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+i3211-1-111-1-1−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ3811−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32111-1-1-1-11−i321+i321−i321+i3211111111-1-1-1-1-1-1-1-1−1+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+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+i32-1-111-1-1111−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ3911−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32111-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i3211-1-1-1-111−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i321−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32
χ4011−1+i32−1−i32−1+i32−1−i321111111−1+i32−1+i32−1−i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-11−i321+i321−i321+i32111-1-1-1-11−i321+i321−i321+i32-1-1-1-1-1-1-1-111111111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32-1-11111-1-11−i321+i321−i321+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i32−1+i32−1−i321−i321+i321−i321+i32
χ4111−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i3211-111-1-1−1+i32−1−i321−i321+i32iiii−i−i−i−iiiii−i−i−i−i−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ221-11-1i−ii−i−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ4211−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i3211-111-1-1−1+i32−1−i321−i321+i32iiii−i−i−i−iiiii−i−i−i−i−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22-11-11−ii−ii1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ4311−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i3211-111-1-1−1+i32−1−i321−i321+i32−i−i−i−iiiii−i−i−i−iiiii−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ221-11-1−ii−ii−1+i32−1−i321−i321+i32−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22−ζ14−ζ22ζ14ζ22
χ4411−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i321-11-1−1+i32−1−i321−i321+i3211-111-1-1−1+i32−1−i321−i321+i32−i−i−i−iiiii−i−i−i−iiiii−1+i32−1+i32−1−i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22-11-11i−ii−i1−i321+i32−1+i32−1−i321−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22ζ14ζ22−ζ14−ζ22
χ4511−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i3211-1-1-1111−i321+i32−1+i32−1−i32iiii−i−i−i−i−i−i−i−iiiii−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ221-1-11i−i−ii−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32ζ14ζ22−ζ14−ζ22−ζ14−ζ22ζ14ζ22
χ4611−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i3211-1-1-1111−i321+i32−1+i32−1−i32iiii−i−i−i−i−i−i−i−iiiii−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22-111-1−iii−i1−i321+i32−1+i32−1−i32−1+i32−1−i321−i321+i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
χ4711−1+i32−1−i32−1+i32−1−i32-1-1111-1-11−i321−i321+i321+i32−1+i32−1−i32-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32-11-111−i321+i32−1+i32−1−i3211-1-1-1111−i321+i32−1+i32−1−i32−i−i−i−iiiiiiiii−i−i−i−i−1+i32−1+i32−1−i32−1−i321−i321+i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i32−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22ζ14ζ14ζ14ζ14ζ22ζ22ζ22ζ22−ζ14−ζ14−ζ14−ζ14−ζ22−ζ22−ζ22−ζ221-1-11−iii−i−1+i32−1−i321−i321+i321−i321+i32−1+i32−1−i32−ζ14−ζ22ζ14ζ22ζ14ζ22−ζ14−ζ22
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χ11822−1+i3−1−i3−1+i3−1−i32-2-2-22-22−1+i31−i3−1−i31+i31−i31+i3-2-21−i31+i3−1+i3−1−i31−i3−1+i31+i3−1−i31−i31−i31+i31+i300000000-22200000000−2i2i2i−2i−2i2i2i−2i000000001−i3−1+i31+i3−1−i3−1+i3−1−i300000000−2ζ142ζ142ζ14−2ζ14−2ζ222ζ222ζ22−2ζ22−2ζ142ζ142ζ14−2ζ14−2ζ222ζ222ζ22−2ζ220000000000000000000000000000000000000000
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χ12022−1+i3−1−i3−1+i3−1−i3-22-22-2-221−i3−1+i31+i3−1−i31−i31+i300−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i30000000000000002i−2i−2i2i0000i2−i2i2−i2−i2i2−i2i22−22−2−22−220000002ζ14−2ζ142ζ22−2ζ22−2ζ142ζ14−2ζ222ζ22−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000000000000000
χ12122−1+i3−1−i3−1+i3−1−i3-22-22-2-221−i3−1+i31+i3−1−i31−i31+i300−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3000000000000000−2i2i2i−2i0000−i2i2−i2i2i2−i2i2−i22−22−2−22−22000000−2ζ142ζ14−2ζ222ζ222ζ14−2ζ142ζ22−2ζ22ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000000000000000000000
χ12222−1+i3−1−i3−1+i3−1−i3-22-22-2-221−i3−1+i31+i3−1−i31−i31+i300−1+i3−1−i31−i31+i31−i3−1+i31+i3−1−i3000000000000000−2i2i2i−2i0000i2−i2i2−i2−i2i2−i2i2−22−222−22−2000000−2ζ142ζ14−2ζ222ζ222ζ14−2ζ142ζ22−2ζ22−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ7−ζ13ζ7+ζ13−ζ7−ζ13ζ7+ζ13ζ5+ζ23−ζ5−ζ23ζ5+ζ23−ζ5−ζ23ζ7+ζ13−ζ7−ζ13ζ7+ζ13−ζ7−ζ13−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000000000000000000000
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χ13122−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31−i31+i31+i3−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i30000-2-2221−i31+i31−i31+i30000000−1+i3−1−i3−1+i3−1−i322−2−2−2−222−2−22222−2−200000000000000ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13000000000000000000000000
χ13222−1+i3−1−i3−1+i3−1−i3-2-22-2-2221−i31−i31+i31+i3−1+i3−1−i3001−i31+i31−i31+i3−1+i3−1+i3−1−i3−1−i30000-2-2221−i31+i31−i31+i30000000−1+i3−1−i3−1+i3−1−i3−2−22222−2−222−2−2−2−22200000000000000−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13000000000000000000000000
χ1338-888-8-8000000000000042−420000000042−4242−42000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1348-888-8-80000000000000−424200000000−4242−4242000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8−4−4i3−4+4i34+4i34−4i3000000000000042−4200000000−4ζ7+4ζ134ζ7−4ζ134ζ5−4ζ23−4ζ5+4ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8−4−4i3−4+4i34+4i34−4i30000000000000−4242000000004ζ7−4ζ13−4ζ7+4ζ13−4ζ5+4ζ234ζ5−4ζ23000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8−4+4i3−4−4i34−4i34+4i3000000000000042−42000000004ζ5−4ζ23−4ζ5+4ζ23−4ζ7+4ζ134ζ7−4ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8−4+4i3−4−4i34−4i34+4i30000000000000−424200000000−4ζ5+4ζ234ζ5−4ζ234ζ7−4ζ13−4ζ7+4ζ13000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.