Finite Group Databasebeta

← Group #11798438

Character table — Group #11798438

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size112222222444444888888888121212121212161616161624242448112222222444444888888888121212121212161616161624242448112222222444444888888888121212121212161616161624242448
order12234468868121224242216162448484848241616161666824242484366312126242462412122424664848244848484861248484848662424246122412366312126242462412122424664848244848484861248484848662424246122412
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111111-1-1-1-1111111111111111111111111-1-1-1-1-1-111111-1-1-1-1
χ311111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1111-111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1111-111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1111-1
χ411111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11
χ5111111111111111-1-11111111111111-1-1-1-1-1-1-11-1111111111111111-1-11111111111111-1-1-1-1-1-1-11-1111111111111111-1-11111111111111-1-1-1-1-1-1-11-1
χ6111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111-11111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111-11111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111-11
χ7111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1-111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1-111111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1-111
χ8111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111111-1-1111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111111-1-1111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111111-1-1
χ92222222-2-22-222-2-20000-200002200000000000-202222222-2-22-222-2-20000-200002200000000000-202222222-2-22-222-2-20000-200002200000000000-20
χ102222222-2-22-222-2-20000-20000-2-200000000000202222222-2-22-222-2-20000-20000-2-200000000000202222222-2-22-222-2-20000-20000-2-20000000000020
χ11222-122-122-12-1-1-1-12222-1-1-1-1-1000000-1-12-1-10000222-122-122-12-1-1-1-12222-1-1-1-1-1000000-1-12-1-10000222-122-122-12-1-1-1-12222-1-1-1-1-1000000-1-12-1-10000
χ12222-122-122-12-1-1-1-122-2-2-11111000000-1-1-2110000222-122-122-12-1-1-1-122-2-2-11111000000-1-1-2110000222-122-122-12-1-1-1-122-2-2-11111000000-1-1-2110000
χ13222-122-122-12-1-1-1-1-2-222-1-1-1-1-100000011-2110000222-122-122-12-1-1-1-1-2-222-1-1-1-1-100000011-2110000222-122-122-12-1-1-1-1-2-222-1-1-1-1-100000011-2110000
χ14222-122-122-12-1-1-1-1-2-2-2-2-11111000000112-1-10000222-122-122-12-1-1-1-1-2-2-2-2-11111000000112-1-10000222-122-122-12-1-1-1-1-2-2-2-2-11111000000112-1-10000
χ1522-222-2200-20-2200002−2022−2−22-222−2−200000000022-222-2200-20-2200002−2022−2−22-222−2−200000000022-222-2200-20-2200002−2022−2−22-222−2−2000000000
χ1622-222-2200-20-2200002−2022−2−2-22−2−22200000000022-222-2200-20-2200002−2022−2−2-22−2−22200000000022-222-2200-20-2200002−2022−2−2-22−2−222000000000
χ1722-222-2200-20-220000−220−2−2222-2−2−22200000000022-222-2200-20-220000−220−2−2222-2−2−22200000000022-222-2200-20-220000−220−2−2222-2−2−222000000000
χ1822-222-2200-20-220000−220−2−222-2222−2−200000000022-222-2200-20-220000−220−2−222-2222−2−200000000022-222-2200-20-220000−220−2−222-2222−2−2000000000
χ1922-22-22222-2-22-2220000-20000000000000002-20022-22-22222-2-22-2220000-20000000000000002-20022-22-22222-2-22-2220000-20000000000000002-200
χ2022-22-22222-2-22-2220000-2000000000000000-220022-22-22222-2-22-2220000-2000000000000000-220022-22-22222-2-22-2220000-2000000000000000-2200
χ2122-22-222-2-2-222-2-2-22-200200000000002-2000000022-22-222-2-2-222-2-2-22-200200000000002-2000000022-22-222-2-2-222-2-2-22-200200000000002-20000000
χ2222-22-222-2-2-222-2-2-2-220020000000000-22000000022-22-222-2-2-222-2-2-2-220020000000000-22000000022-22-222-2-2-222-2-2-2-220020000000000-220000000
χ2322-2-1-22-1-2-212-11112-200-13−33−3000000-1103−3000022-2-1-22-1-2-212-11112-200-13−33−3000000-1103−3000022-2-1-22-1-2-212-11112-200-13−33−3000000-1103−30000
χ2422-2-1-22-1-2-212-11112-200-1−33−33000000-110−33000022-2-1-22-1-2-212-11112-200-1−33−33000000-110−33000022-2-1-22-1-2-212-11112-200-1−33−33000000-110−330000
χ2522-2-1-22-1-2-212-1111-2200-13−33−30000001-10−33000022-2-1-22-1-2-212-1111-2200-13−33−30000001-10−33000022-2-1-22-1-2-212-1111-2200-13−33−30000001-10−330000
χ2622-2-1-22-1-2-212-1111-2200-1−33−330000001-103−3000022-2-1-22-1-2-212-1111-2200-1−33−330000001-103−3000022-2-1-22-1-2-212-1111-2200-1−33−330000001-103−30000
χ274444-4-440040-4-4000000000000000000000000004444-4-440040-4-4000000000000000000000000004444-4-440040-4-400000000000000000000000000
χ28444-244-2-4-4-2-4-2-222000020000000000000000000444-244-2-4-4-2-4-2-222000020000000000000000000444-244-2-4-4-2-4-2-222000020000000000000000000
χ29444-2-4-4-200-202200000006−6−66000000000000000444-2-4-4-200-202200000006−6−66000000000000000444-2-4-4-200-202200000006−6−66000000000000000
χ30444-2-4-4-200-20220000000−666−6000000000000000444-2-4-4-200-20220000000−666−6000000000000000444-2-4-4-200-20220000000−666−6000000000000000
χ3144-4-24-4-200202-2000022−220−2−22200000000000000044-4-24-4-200202-2000022−220−2−22200000000000000044-4-24-4-200202-2000022−220−2−222000000000000000
χ3244-4-24-4-200202-20000−2222022−2−200000000000000044-4-24-4-200202-20000−2222022−2−200000000000000044-4-24-4-200202-20000−2222022−2−2000000000000000
χ3344-4-2-44-2442-4-22-2-200002000000000000000000044-4-2-44-2442-4-22-2-200002000000000000000000044-4-2-44-2442-4-22-2-2000020000000000000000000
χ344-40400-422−22000022−2200000000000ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ470000000004-40400-422−22000022−2200000000000ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ470000000004-40400-422−22000022−2200000000000ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47000000000
χ354-40400-422−22000022−2200000000000−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ470000000004-40400-422−22000022−2200000000000−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ470000000004-40400-422−22000022−2200000000000−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47000000000
χ364-40400-4−22220000−222200000000000ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ470000000004-40400-4−22220000−222200000000000ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ470000000004-40400-4−22220000−222200000000000ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47000000000
χ374-40400-4−22220000−222200000000000−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ470000000004-40400-4−22220000−222200000000000−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ470000000004-40400-4−22220000−222200000000000−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47000000000
χ388-80-400442−420000−22220000000000000000000000008-80-400442−420000−22220000000000000000000000008-80-400442−420000−2222000000000000000000000000
χ398-80-4004−4242000022−220000000000000000000000008-80-4004−4242000022−220000000000000000000000008-80-4004−4242000022−22000000000000000000000000
χ40111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ41111111111111111111111111-1-1-1-1-1-111111-1-1-1-1−1+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+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ4211111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1111-1−1+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+i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ4311111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+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−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i32−1−i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32
χ44111111111111111-1-11111111111111-1-1-1-1-1-1-11-1−1+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+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+i321−i321−i321−i321−i321−i321−i321−i32−1+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−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−i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i32
χ45111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111-11−1+i32−1+i32−1+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−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−i32−1+i32−1+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+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+i32−1−i32−1−i321+i32−1−i32
χ46111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1-111−1+i32−1+i32−1+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−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ47111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111111-1-1−1+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+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ482222222-2-22-222-2-20000-200002200000000000-20−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i30000−1+i3−1+i3000000000001−i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i30000−1−i3−1−i3000000000001+i30
χ492222222-2-22-222-2-20000-20000-2-20000000000020−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i300001−i31−i300000000000−1+i30−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i300001+i31+i300000000000−1−i30
χ50222-122-122-12-1-1-1-12222-1-1-1-1-1000000-1-12-1-10000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i320000001−i321−i32−1+i31−i321−i320000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i320000001+i321+i32−1−i31+i321+i320000
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χ8211111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−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+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i32−1+i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32
χ83111111111111111-1-11111111111111-1-1-1-1-1-1-11-1−1−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−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−i321+i321+i321+i321+i321+i321+i321+i32−1−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+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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i32
χ84111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-111-11−1−i32−1−i32−1−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+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+i32−1−i32−1−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−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−i32−1+i32−1+i321−i32−1+i32
χ85111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1111-1-111−1−i32−1−i32−1−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+i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ86111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111111-1-1−1−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−i321+i321+i321+i321+i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ872222222-2-22-222-2-20000-200002200000000000-20−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i30000−1−i3−1−i3000000000001+i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i30000−1+i3−1+i3000000000001−i30
χ882222222-2-22-222-2-20000-20000-2-20000000000020−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i31+i31+i300001+i300001+i31+i300000000000−1−i30−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i31−i31−i300001−i300001−i31−i300000000000−1+i30
χ89222-122-122-12-1-1-1-12222-1-1-1-1-1000000-1-12-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i321+i320000001+i321+i32−1−i31+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i321−i320000001−i321−i32−1+i31−i321−i320000
χ90222-122-122-12-1-1-1-122-2-2-11111000000-1-1-2110000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i320000001+i321+i321+i3−1−i32−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i320000001−i321−i321−i3−1+i32−1+i320000
χ91222-122-122-12-1-1-1-1-2-222-1-1-1-1-100000011-2110000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i3−1−i3−1−i31+i321+i321+i321+i321+i32000000−1−i32−1−i321+i3−1−i32−1−i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i3−1+i3−1+i31−i321−i321−i321−i321−i32000000−1+i32−1+i321−i3−1+i32−1+i320000
χ92222-122-122-12-1-1-1-1-2-2-2-2-11111000000112-1-10000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i321+i321+i321+i321+i31+i31+i31+i31+i32−1−i32−1−i32−1−i32−1−i32000000−1−i32−1−i32−1−i31+i321+i320000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i321−i321−i321−i321−i31−i31−i31−i31−i32−1+i32−1+i32−1+i32−1+i32000000−1+i32−1+i32−1+i31−i321−i320000
χ9322-222-2200-20-2200002−2022−2−22-222−2−2000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3001+i301+i3−1−i30000−ζ14+ζ26ζ14−ζ260−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26−1−i31+i3−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3001−i301−i3−1+i30000ζ10−ζ46−ζ10+ζ460ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46−1+i31−i3ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000000
χ9422-222-2200-20-2200002−2022−2−2-22−2−222000000000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i3001+i301+i3−1−i30000−ζ14+ζ26ζ14−ζ260−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ261+i3−1−i3ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i3001−i301−i3−1+i30000ζ10−ζ46−ζ10+ζ460ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ461−i3−1+i3−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000000
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χ9722-22-22222-2-22-2220000-20000000000000002-200−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i3−1−i3−1−i300001+i3000000000000000−1−i31+i300−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i3−1+i3−1+i300001−i3000000000000000−1+i31−i300
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χ9922-22-222-2-2-222-2-2-22-200200000000002-20000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i31+i31+i3−1−i31+i300−1−i30000000000−1−i31+i30000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i31−i31−i3−1+i31−i300−1+i30000000000−1+i31−i30000000
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χ10944-4-24-4-200202-2000022−220−2−222000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i300−1−i30−1−i31+i30000−2ζ14+2ζ262ζ14−2ζ260ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ26000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i300−1+i30−1+i31−i300002ζ10−2ζ46−2ζ10+2ζ460−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ46000000000000000
χ11044-4-24-4-200202-20000−2222022−2−2000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i300−1−i30−1−i31+i300002ζ14−2ζ26−2ζ14+2ζ260−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ26000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i300−1+i30−1+i31−i30000−2ζ10+2ζ462ζ10−2ζ460ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ46000000000000000
χ11144-4-2-44-2442-4-22-2-2000020000000000000000000−2−2i3−2−2i32+2i31+i32+2i3−2−2i31+i3−2−2i3−2−2i3−1−i32+2i31+i3−1−i31+i31+i30000−1−i30000000000000000000−2+2i3−2+2i32−2i31−i32−2i3−2+2i31−i3−2+2i3−2+2i3−1+i32−2i31−i3−1+i31−i31−i30000−1+i30000000000000000000
χ1124-40400-422−22000022−2200000000000ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47000000000−2−2i32+2i30−2−2i3002+2i3−2ζ14+2ζ262ζ14−2ζ260000−2ζ14+2ζ262ζ14−2ζ2600000000000−ζ11−ζ29−ζ41−ζ47ζ11+ζ29+ζ41+ζ47−ζ11−ζ29+ζ41+ζ47ζ11+ζ29−ζ41−ζ47000000000−2+2i32−2i30−2+2i3002−2i32ζ10−2ζ46−2ζ10+2ζ4600002ζ10−2ζ46−2ζ10+2ζ4600000000000−ζ13−ζ25−ζ31−ζ43ζ13+ζ25+ζ31+ζ43−ζ13+ζ25+ζ31−ζ43ζ13−ζ25−ζ31+ζ43000000000
χ1134-40400-422−22000022−2200000000000−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47000000000−2−2i32+2i30−2−2i3002+2i3−2ζ14+2ζ262ζ14−2ζ260000−2ζ14+2ζ262ζ14−2ζ2600000000000ζ11+ζ29+ζ41+ζ47−ζ11−ζ29−ζ41−ζ47ζ11+ζ29−ζ41−ζ47−ζ11−ζ29+ζ41+ζ47000000000−2+2i32−2i30−2+2i3002−2i32ζ10−2ζ46−2ζ10+2ζ4600002ζ10−2ζ46−2ζ10+2ζ4600000000000ζ13+ζ25+ζ31+ζ43−ζ13−ζ25−ζ31−ζ43ζ13−ζ25−ζ31+ζ43−ζ13+ζ25+ζ31−ζ43000000000
χ1144-40400-4−22220000−222200000000000ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47000000000−2−2i32+2i30−2−2i3002+2i32ζ14−2ζ26−2ζ14+2ζ2600002ζ14−2ζ26−2ζ14+2ζ2600000000000−ζ11−ζ29+ζ41+ζ47ζ11+ζ29−ζ41−ζ47ζ11+ζ29+ζ41+ζ47−ζ11−ζ29−ζ41−ζ47000000000−2+2i32−2i30−2+2i3002−2i3−2ζ10+2ζ462ζ10−2ζ460000−2ζ10+2ζ462ζ10−2ζ4600000000000−ζ13+ζ25+ζ31−ζ43ζ13−ζ25−ζ31+ζ43ζ13+ζ25+ζ31+ζ43−ζ13−ζ25−ζ31−ζ43000000000
χ1154-40400-4−22220000−222200000000000−ζ11−ζ13+ζ25−ζ29+ζ31+ζ41−ζ43+ζ47ζ11+ζ13−ζ25+ζ29−ζ31−ζ41+ζ43−ζ47ζ11+ζ13+ζ25+ζ29+ζ31+ζ41+ζ43+ζ47−ζ11−ζ13−ζ25−ζ29−ζ31−ζ41−ζ43−ζ47000000000−2−2i32+2i30−2−2i3002+2i32ζ14−2ζ26−2ζ14+2ζ2600002ζ14−2ζ26−2ζ14+2ζ2600000000000ζ11+ζ29−ζ41−ζ47−ζ11−ζ29+ζ41+ζ47−ζ11−ζ29−ζ41−ζ47ζ11+ζ29+ζ41+ζ47000000000−2+2i32−2i30−2+2i3002−2i3−2ζ10+2ζ462ζ10−2ζ460000−2ζ10+2ζ462ζ10−2ζ4600000000000ζ13−ζ25−ζ31+ζ43−ζ13+ζ25+ζ31−ζ43−ζ13−ζ25−ζ31−ζ43ζ13+ζ25+ζ31+ζ43000000000
χ1168-80-400442−420000−2222000000000000000000000000−4−4i34+4i302+2i300−2−2i3−4ζ14+4ζ264ζ14−4ζ2600002ζ14−2ζ26−2ζ14+2ζ26000000000000000000000000−4+4i34−4i302−2i300−2+2i34ζ10−4ζ46−4ζ10+4ζ460000−2ζ10+2ζ462ζ10−2ζ46000000000000000000000000
χ1178-80-4004−4242000022−22000000000000000000000000−4−4i34+4i302+2i300−2−2i34ζ14−4ζ26−4ζ14+4ζ260000−2ζ14+2ζ262ζ14−2ζ26000000000000000000000000−4+4i34−4i302−2i300−2+2i3−4ζ10+4ζ464ζ10−4ζ4600002ζ10−2ζ46−2ζ10+2ζ46000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.