Finite Group Databasebeta

← Group #128705

Character table — Group #128705

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order1222222244444444444444448888888888888888888888888888888888881616161616161616161616161616161616161616161616161616161616161616444444448888888844448888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii
χ1111111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii
χ1211111111-1-1-1-1-1-1-1-111-1-111-1-1iiii−i−i−i−i1111-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i
χ1611111111-1-1-1-1-1-1-1-111-1-111-1-1−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii
χ171-1-11-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-111-1-111-1-1ii−i−iii−i−ii−ii−i1-11-1
χ181-1-11-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-1-111-1-111−i−iii−i−iii−ii−ii-11-11
χ191-1-11-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-1111111-1-111-1-1ii−i−iii−i−i−ii−ii-11-11
χ201-1-11-1-11111-1-111-1-1-1-11111-1-1ii−i−iii−i−i1111-1-1-1-1-1-1-1-11111i−ii−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-1-111-1-111−i−iii−i−iiii−ii−i1-11-1
χ211-1-11-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-1111111-1-111-1-1−i−iii−i−iiii−ii−i-11-11
χ221-1-11-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-1-111-1-111ii−i−iii−i−i−ii−ii1-11-1
χ231-1-11-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-111-1-111-1-1−i−iii−i−iii−ii−ii1-11-1
χ241-1-11-1-11111-1-111-1-1-1-11111-1-1−i−iii−i−iii1111-1-1-1-1-1-1-1-11111−ii−ii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-1-111-1-111ii−i−iii−i−ii−ii−i-11-11
χ251-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1-1-111i−i−ii−iii−i
χ261-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-1-11111-1-1−iii−ii−i−ii
χ271-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1-1-111−iii−ii−i−ii
χ281-1-11-1-111-1-111-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-1-11111-1-1i−i−ii−iii−i
χ291-1-11-1-111-1-111-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-11111-1-1i−i−iii−i−ii
χ301-1-11-1-111-1-111-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1-1-111−iii−i−iii−i
χ311-1-11-1-111-1-111-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-11111-1-1−iii−i−iii−i
χ321-1-11-1-111-1-111-1-111-1-1-1-11111-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1-1-111i−i−iii−i−ii
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-20000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2222222220000000000000000-2-2-2-200000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000022220000000022−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222200000000−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-222-2-222-2-22i2i2i2i−2i−2i−2i−2i-2-2-2-22222-2-2-2-222222i2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-222-2-222-2-2−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-2-2-2-22222−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i0000000022−2−222−2−2−2−222−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-222-2-2222i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i00000000−2−222−2−22222−2−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i0000000022−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-222-2-222−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i00000000−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ452222-2-2-2-22222-2-2-2-2000000002-22-22-22-222−2−222−2−222−2−222−2−200002−22−22−22−2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000000000000000
χ462222-2-2-2-22222-2-2-2-2000000002-22-22-22-222−2−222−2−222−2−222−2−200002−22−22−22−2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000000000000000
χ472222-2-2-2-22222-2-2-2-2000000002-22-22-22-2−2−222−2−222−2−222−2−2220000−22−22−22−22ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000000000000000
χ482222-2-2-2-22222-2-2-2-2000000002-22-22-22-2−2−222−2−222−2−222−2−2220000−22−22−22−22−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000000000000000
χ492222-2-2-2-22222-2-2-2-200000000-22-22-22-2222−2−222−2−222−2−222−2−20000−22−22−22−22ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5000000000000000000000000
χ502222-2-2-2-22222-2-2-2-200000000-22-22-22-2222−2−222−2−222−2−222−2−20000−22−22−22−22−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5000000000000000000000000
χ512222-2-2-2-22222-2-2-2-200000000-22-22-22-22−2−222−2−222−2−222−2−22200002−22−22−22−2ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7000000000000000000000000
χ522222-2-2-2-22222-2-2-2-200000000-22-22-22-22−2−222−2−222−2−222−2−22200002−22−22−22−2−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7000000000000000000000000
χ532222-2-2-2-2-2-2-2-22222000000002i−2i2i−2i−2i2i−2i2i22−2−2−2−22222−2−2−2−2220000i2−i2i2−i2−i2i2−i2i2ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7000000000000000000000000
χ542222-2-2-2-2-2-2-2-22222000000002i−2i2i−2i−2i2i−2i2i22−2−2−2−22222−2−2−2−2220000i2−i2i2−i2−i2i2−i2i2−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7000000000000000000000000
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χ10744-4-4-44-444i−4i4i−4i−4i4i−4i4i000000000000000022−22−22222i2−2i2−2i22i222−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ10844-4-4-44-444i−4i4i−4i−4i4i−4i4i0000000000000000−222222−22−2i22i22i2−2i2−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ10944-4-4-44-44−4i4i−4i4i4i−4i4i−4i000000000000000022−22−2222−2i22i22i2−2i222−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ11044-4-4-44-44−4i4i−4i4i4i−4i4i−4i0000000000000000−222222−222i2−2i2−2i22i2−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-4-444i−4i−4i4i−4i4i4i−4i000000000000000022−22−2222−2i22i22i2−2i2−222222−222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-44-4-444i−4i−4i4i−4i4i4i−4i0000000000000000−222222−222i2−2i2−2i22i222−22−2222−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1134-44-44-4-44−4i4i4i−4i4i−4i−4i4i000000000000000022−22−22222i2−2i2−2i22i2−222222−22−2i22i22i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1144-44-44-4-44−4i4i4i−4i4i−4i−4i4i0000000000000000−222222−22−2i22i22i2−2i222−22−22222i2−2i2−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1154-44-4-444-44i−4i−4i4i4i−4i−4i4i4-4−4i4i-444i−4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-44-4-444-4−4i4i4i−4i−4i4i4i−4i4-44i−4i-44−4i4i00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.