Finite Group Databasebeta

← Group #147249

Character table — Group #147249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111111111111111222222222222222222222222222222224444444444444444444444444444444444444444444488888888888888881616161616161616
order1222222244444444222244448888888888888888888888884444444488881616161616161616161616161616161616161616161616161616161616161616444444448888888844448888
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
χ911111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−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
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−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
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−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
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i111111-1-1-1-1-1-111-1-1iiii−i−i−i−iii−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
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii-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
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii111111-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−iii-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
χ17111-1-11-1-11111-1-1-1-11-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1ii−i−iii−i−iii−i−iii−i−ii−ii−ii−ii−i
χ18111-1-11-1-11111-1-1-1-11-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−iii−i−iii−ii−ii−ii−ii
χ19111-1-11-1-11111-1-1-1-11-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111ii−i−iii−i−iii−i−iii−i−i−ii−ii−ii−ii
χ20111-1-11-1-11111-1-1-1-11-1-111-1-1111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-111-1-11-11-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111−i−iii−i−iii−i−iii−i−iiii−ii−ii−ii−i
χ21111-1-11-1-11111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−iii−i−i−i−iii−i−iiii−ii−i−ii−ii
χ22111-1-11-1-11111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-11-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iii−i−iiiii−i−iii−i−i−ii−iii−ii−i
χ23111-1-11-1-11111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1ii−i−iii−i−i−i−iii−i−iii−ii−iii−ii−i
χ24111-1-11-1-11111-1-1-1-11-1-111-1-11-1-111-1-11111-1-1-1-111-1-1-1-11111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1−i−iii−i−iiiii−i−iii−i−ii−ii−i−ii−ii
χ25111-1-11-1-1-1-1-1-11111-111-11-1-11ii−i−i−i−iii11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1i−i−ii-111-1
χ26111-1-11-1-1-1-1-1-11111-111-11-1-11ii−i−i−i−iii11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiii−i−ii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111−iii−i1-1-11
χ27111-1-11-1-1-1-1-1-11111-111-11-1-11ii−i−i−i−iii11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiii−i−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-1-11111-1-1−iii−i1-1-11
χ28111-1-11-1-1-1-1-1-11111-111-11-1-11ii−i−i−i−iii11-1-1-1-1-1-1111111-1-1ii−i−i−i−iiii−i−ii-1-1-1-111111111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i11-1-1-1-111i−i−ii-111-1
χ29111-1-11-1-1-1-1-1-11111-111-11-1-11−i−iiiii−i−i11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii11-1-1-1-111i−i−ii1-1-11
χ30111-1-11-1-1-1-1-1-11111-111-11-1-11−i−iiiii−i−i11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−iii−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1−iii−i-111-1
χ31111-1-11-1-1-1-1-1-11111-111-11-1-11−i−iiiii−i−i11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−iii−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii11-1-1-1-111−iii−i-111-1
χ32111-1-11-1-1-1-1-1-11111-111-11-1-11−i−iiiii−i−i11-1-1-1-1-1-1111111-1-1−i−iiiii−i−i−iii−i-1-1-1-111111111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-1-11111-1-1i−i−ii1-1-11
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222222222000000000000000000000000-2-2-2-222−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-222222222000000000000000000000000-2-2-2-2−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000222222−2−222−2−222−2−222−2−2−2−222−2−222−2−222−2−222000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222−2−222−2−222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i22−2−222−2−2−2−222−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i−2−222−2−22222−2−222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i22−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-22222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i-2-2-2-2-2-2222222-2-222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i-2-2-2-2-2-2222222-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000
χ45222-2-22-2-22222-2-2-2-22-2-222-2-2222-2-222-2-2-2-22222-2-22222-2-2-2-2-2-222-2-2222-22-200000000000000000000000000000000000000000000000000000000
χ46222-2-22-2-22222-2-2-2-22-2-222-2-22-2-222-2-222-2-22222-2-22222-2-2-2-222-2-222-2-2-22-2200000000000000000000000000000000000000000000000000000000
χ47222-2-22-2-22222-2-2-2-2-222-2-222-222-2-222-2-2000000000000000000000000-22-2222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−222000000000000000000000000
χ48222-2-22-2-22222-2-2-2-2-222-2-222-222-2-222-2-2000000000000000000000000-22-22−2−22222−2−2−2−22222−2−2−2−22222−2−2−2−22222−2−2000000000000000000000000
χ49222-2-22-2-22222-2-2-2-2-222-2-222-2-2-222-2-2220000000000000000000000002-22-222−2−2−2−22222−2−2−2−222−2−22222−2−2−2−22222−2−2000000000000000000000000
χ50222-2-22-2-22222-2-2-2-2-222-2-222-2-2-222-2-2220000000000000000000000002-22-2−2−22222−2−2−2−22222−2−222−2−2−2−22222−2−2−2−222000000000000000000000000
χ51222-2-22-2-2-2-2-2-222222-2-22-222-22i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i22−2−2−2−222−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ52222-2-22-2-2-2-2-2-222222-2-22-222-22i2i−2i−2i−2i−2i2i2i000000000000000000000000−2i2i2i−2i−2−22222−2−222−2−2−2−222−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ53222-2-22-2-2-2-2-2-222222-2-22-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i22−2−2−2−222−2−22222−2−2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ54222-2-22-2-2-2-2-2-222222-2-22-222-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002i−2i−2i2i−2−22222−2−222−2−2−2−222i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ55222-2-22-2-2-2-2-2-22222-222-22-2-222i2i−2i−2i−2i−2i2i2i-2-2222222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i−2i−2i2i00000000000000000000000000000000000000000000000000000000
χ56222-2-22-2-2-2-2-2-22222-222-22-2-22−2i−2i2i2i2i2i−2i−2i-2-2222222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i2i2i−2i00000000000000000000000000000000000000000000000000000000
χ5722-22-2-22-22i−2i2i−2i2i2i−2i−2i000000002ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62−222−2−2i2−i2i2i2−i2−i22−2i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i0000ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ+ζ7−ζ−ζ7ζ3+ζ5−ζ3−ζ5ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ3−ζ5−ζ3+ζ5ζ−ζ7−ζ+ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ−ζ3−ζ+ζ3ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3ζ5−ζ7−ζ5+ζ7ζ+ζ3−ζ−ζ3000000000000000000000000
χ5822-22-2-22-22i−2i2i−2i2i2i−2i−2i000000002ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ62−222−2−2i2−i2i2i2−i2−i22−2i2−i21+i−1−i1+i−1−i1−i−1+i1−i−1+i0000−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ−ζ7ζ+ζ7−ζ3−ζ5ζ3+ζ5−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ3+ζ5ζ3−ζ5−ζ+ζ7ζ−ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ+ζ3ζ−ζ3−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3−ζ5+ζ7ζ5−ζ7−ζ−ζ3ζ+ζ3000000000000000000000000
χ5922-22-2-22-22i−2i2i−2i2i2i−2i−2i000000002ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ6−22−2−222−i2i2−i2−i2i2i2−22−i2i2−1−i1+i−1−i1+i−1+i1−i−1+i1−i0000ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ3+ζ5−ζ3−ζ5−ζ−ζ7ζ+ζ7ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5ζ−ζ7−ζ+ζ7−ζ3+ζ5ζ3−ζ5−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3−ζ5−ζ7ζ5+ζ7ζ−ζ3−ζ+ζ3ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7ζ+ζ3−ζ−ζ3−ζ5+ζ7ζ5−ζ7000000000000000000000000
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χ902-2-2222-2-222-2-22-22-222-2-2-22-2200000000222-22-2222-22-2-2-2-2-20000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ912-2-2222-2-222-2-22-22-222-2-2-22-2200000000-2-2-22-22-2-2-22-222222000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ922-2-2222-2-222-2-22-22-222-2-2-22-2200000000-2-2-22-22-2-2-22-22222200000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ932-2-2222-2-2-2-222-22-22-2-222-22-2200000000222-22-2-2-2-22-22-2-22200000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000
χ942-2-2222-2-2-2-222-22-22-2-222-22-2200000000222-22-2-2-2-22-22-2-2220000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000
χ952-2-2222-2-2-2-222-22-22-2-222-22-2200000000-2-2-22-22222-22-222-2-2000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ962-2-2222-2-2-2-222-22-22-2-222-22-2200000000-2-2-22-22222-22-222-2-200000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ972-2-2-2-222222-2-2-22-222-22-2-2-2220000000022-22-2222-22-22-2-2-2-200000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ982-2-2-2-222222-2-2-22-222-22-2-2-2220000000022-22-2222-22-22-2-2-2-20000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ992-2-2-2-222222-2-2-22-222-22-2-2-22200000000-2-22-22-2-2-22-22-22222000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ1002-2-2-2-222222-2-2-22-222-22-2-2-22200000000-2-22-22-2-2-22-22-2222200000000000000000000000000000000000000000000-222-2-222-20000000000000000
χ1012-2-2-2-2222-2-2222-22-2-22-22-2-2220000000022-22-22-2-22-22-2-2-22200000000000000000000000000000000000000000000000000002-2-22-222-200000000
χ1022-2-2-2-2222-2-2222-22-2-22-22-2-2220000000022-22-22-2-22-22-2-2-2220000000000000000000000000000000000000000000000000000-222-22-2-2200000000
χ1032-2-2-2-2222-2-2222-22-2-22-22-2-22200000000-2-22-22-222-22-2222-2-2000000000000000000000000000000000000000000002-2-22-222-20000000000000000
χ1042-2-2-2-2222-2-2222-22-2-22-22-2-22200000000-2-22-22-222-22-2222-2-200000000000000000000000000000000000000000000-222-22-2-220000000000000000
χ1054-444-4-4-444i−4i−4i4i4i−4i−4i4i000000000000000022−2222−22−22222i2−2i22i2−2i2−2i22i2−2222−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1064-444-4-4-444i−4i−4i4i4i−4i−4i4i0000000000000000−2222−222222−22−2i22i2−2i22i22i2−2i222−222i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1074-444-4-4-44−4i4i4i−4i−4i4i4i−4i000000000000000022−2222−22−2222−2i22i2−2i22i22i2−2i2−22222i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1084-444-4-4-44−4i4i4i−4i−4i4i4i−4i0000000000000000−2222−222222−222i2−2i22i2−2i2−2i22i222−22−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1094-44-44-44-44i−4i−4i4i−4i4i4i−4i000000000000000022−22−222222−222i2−2i2−2i22i22i2−2i2−2222−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1104-44-44-44-44i−4i−4i4i−4i4i4i−4i0000000000000000−222222−22−2222−2i22i22i2−2i2−2i22i222−222i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1114-44-44-44-4−4i4i4i−4i4i−4i−4i4i000000000000000022−22−222222−22−2i22i22i2−2i2−2i22i2−22222i2−2i200000000000000000000000000000000000000000000000000000000000000000000
χ1124-44-44-44-4−4i4i4i−4i4i−4i−4i4i0000000000000000−222222−22−22222i2−2i2−2i22i22i2−2i222−22−2i22i200000000000000000000000000000000000000000000000000000000000000000000
χ1134-4-4444-4-444-4-44-44-4-4-4444-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1144-4-4444-4-4-4-444-44-4444-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1154-4-4-4-444444-4-4-44-44-44-4444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-4-4-4-4444-4-4444-44-44-44-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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