Finite Group Databasebeta

← Group #10592277

Character table — Group #10592277

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222244466668882411222224446666888241122222444666688824112222244466668882411222224446666888241122222444666688824
order12346881224241616161641212436312624241224244848484812121212363126242412242448484848121212122264688122424161616164121246661262424122424484848481212121266612624241224244848484812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1
χ31111111111-1-1-1-1111-11111111111-1-1-1-1111-11111111111-1-1-1-1111-11111111111-1-1-1-1111-11111111111-1-1-1-1111-11111111111-1-1-1-1111-1
χ41111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11
χ522222-2-22-2-20000000022222-2-22-2-20000000022222-2-22-2-20000000022222-2-22-2-20000000022222-2-22-2-20000000022222-2-22-2-200000000
χ6222-2200-20022−2−20000222-2200-20022−2−20000222-2200-20022−2−20000222-2200-20022−2−20000222-2200-20022−2−20000222-2200-20022−2−20000
χ7222-2200-200−2−2220000222-2200-200−2−2220000222-2200-200−2−2220000222-2200-200−2−2220000222-2200-200−2−2220000222-2200-200−2−2220000
χ822-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-10
χ922-12-122-1-1-10000-211022-12-122-1-1-10000-211022-12-122-1-1-10000-211022-12-122-1-1-10000-211022-12-122-1-1-10000-211022-12-122-1-1-10000-2110
χ1022-12-1-2-2-11100000−i3i3022-12-1-2-2-11100000−i3i3022-12-1-2-2-11100000−i3i3022-12-1-2-2-11100000−i3i3022-12-1-2-2-11100000−i3i3022-12-1-2-2-11100000−i3i30
χ1122-12-1-2-2-11100000i3−i3022-12-1-2-2-11100000i3−i3022-12-1-2-2-11100000i3−i3022-12-1-2-2-11100000i3−i3022-12-1-2-2-11100000i3−i3022-12-1-2-2-11100000i3−i30
χ122-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000
χ132-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000
χ142-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000
χ152-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000
χ1644-2-4-2002000000000044-2-4-2002000000000044-2-4-2002000000000044-2-4-2002000000000044-2-4-2002000000000044-2-4-20020000000000
χ174-4-20222−220−22000000004-4-20222−220−22000000004-4-20222−220−22000000004-4-20222−220−22000000004-4-20222−220−22000000004-4-20222−220−2200000000
χ184-4-202−222202−2000000004-4-202−222202−2000000004-4-202−222202−2000000004-4-202−222202−2000000004-4-202−222202−2000000004-4-202−222202−200000000
χ19111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ2011111111111111-1-1-1-1−1+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−i32−1−i32−1−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+i3211111111111111-1-1-1-1−1+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−i32−1−i32−1−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
χ211111111111-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321111111111-1-1-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32
χ221111111111-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i32−1−i321111111111-1-1-1-1-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i32−1−i32
χ2322222-2-22-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i30000000022222-2-22-2-200000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i300000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i300000000
χ24222-2200-20022−2−20000−1+i3−1+i3−1+i31−i3−1+i3001−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000−1−i3−1−i3−1−i31+i3−1−i3001+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000222-2200-20022−2−20000−1+i3−1+i3−1+i31−i3−1+i3001−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000−1−i3−1−i3−1−i31+i3−1−i3001+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000
χ25222-2200-200−2−2220000−1+i3−1+i3−1+i31−i3−1+i3001−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ460000−1−i3−1−i3−1−i31+i3−1−i3001+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ260000222-2200-200−2−2220000−1+i3−1+i3−1+i31−i3−1+i3001−i300−ζ10+ζ46−ζ10+ζ46ζ10−ζ46ζ10−ζ460000−1−i3−1−i3−1−i31+i3−1−i3001+i300ζ14−ζ26ζ14−ζ26−ζ14+ζ26−ζ14+ζ260000
χ2622-12-122-1-1-100002-1-10−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i320000−1+i31−i321−i320−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i320000−1−i31+i321+i32022-12-122-1-1-100002-1-10−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i320000−1+i31−i321−i320−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i320000−1−i31+i321+i320
χ2722-12-122-1-1-10000-2110−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i3200001−i3−1+i32−1+i320−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i3200001+i3−1−i32−1−i32022-12-122-1-1-10000-2110−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i3200001−i3−1+i32−1+i320−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i3200001+i3−1−i32−1−i320
χ2822-12-1-2-2-11100000−i3i30−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i32000003+i32−3−i320−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i3200000−3+i323−i32022-12-1-2-2-11100000−i3i30−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i32000003+i32−3−i320−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i3200000−3+i323−i320
χ2922-12-1-2-2-11100000i3−i30−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i3200000−3−i323+i320−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i32000003−i32−3+i32022-12-1-2-2-11100000i3−i30−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i3200000−3−i323+i320−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i32000003−i32−3+i320
χ302-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ2900002-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ290000
χ312-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ2900002-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ290000
χ322-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ310000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ4700002-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ310000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ470000
χ332-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ310000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ4700002-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ310000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ470000
χ3444-2-4-20020000000000−2+2i3−2+2i31−i32−2i31−i300−1+i30000000000−2−2i3−2−2i31+i32+2i31+i300−1−i3000000000044-2-4-20020000000000−2+2i3−2+2i31−i32−2i31−i300−1+i30000000000−2−2i3−2−2i31+i32+2i31+i300−1−i30000000000
χ354-4-20222−220−2200000000−2+2i32−2i31−i30−1+i32ζ10−2ζ46−2ζ10+2ζ460−ζ10+ζ46ζ10−ζ4600000000−2−2i32+2i31+i30−1−i3−2ζ14+2ζ262ζ14−2ζ260ζ14−ζ26−ζ14+ζ26000000004-4-20222−220−2200000000−2+2i32−2i31−i30−1+i32ζ10−2ζ46−2ζ10+2ζ460−ζ10+ζ46ζ10−ζ4600000000−2−2i32+2i31+i30−1−i3−2ζ14+2ζ262ζ14−2ζ260ζ14−ζ26−ζ14+ζ2600000000
χ364-4-202−222202−200000000−2+2i32−2i31−i30−1+i3−2ζ10+2ζ462ζ10−2ζ460ζ10−ζ46−ζ10+ζ4600000000−2−2i32+2i31+i30−1−i32ζ14−2ζ26−2ζ14+2ζ260−ζ14+ζ26ζ14−ζ26000000004-4-202−222202−200000000−2+2i32−2i31−i30−1+i3−2ζ10+2ζ462ζ10−2ζ460ζ10−ζ46−ζ10+ζ4600000000−2−2i32+2i31+i30−1−i32ζ14−2ζ26−2ζ14+2ζ260−ζ14+ζ26ζ14−ζ2600000000
χ37111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ3811111111111111-1-1-1-1−1−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+i32−1+i32−1+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−i3211111111111111-1-1-1-1−1−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+i32−1+i32−1+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
χ391111111111-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321111111111-1-1-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32
χ401111111111-1-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i32−1+i321111111111-1-1-1-1-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i32−1+i32
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χ42222-2200-20022−2−20000−1−i3−1−i3−1−i31+i3−1−i3001+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000−1+i3−1+i3−1+i31−i3−1+i3001−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000222-2200-20022−2−20000−1−i3−1−i3−1−i31+i3−1−i3001+i300−ζ14+ζ26−ζ14+ζ26ζ14−ζ26ζ14−ζ260000−1+i3−1+i3−1+i31−i3−1+i3001−i300ζ10−ζ46ζ10−ζ46−ζ10+ζ46−ζ10+ζ460000
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χ4522-12-122-1-1-10000-2110−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i3200001+i3−1−i32−1−i320−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i3200001−i3−1+i32−1+i32022-12-122-1-1-10000-2110−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i3200001+i3−1−i32−1−i320−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i3200001−i3−1+i32−1+i320
χ4622-12-1-2-2-11100000−i3i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i3200000−3+i323−i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i32000003+i32−3−i32022-12-1-2-2-11100000−i3i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i3200000−3+i323−i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i32000003+i32−3−i320
χ4722-12-1-2-2-11100000i3−i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i32000003−i32−3+i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i3200000−3−i323+i32022-12-1-2-2-11100000i3−i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i32000003−i32−3+i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i3200000−3−i323+i320
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χ5611111111111111-1-1-1-111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ571111111111-1-1-1-1111-11111111111-1-1-1-1111-11111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-11
χ581111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111111-1
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χ6222-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-1022-12-122-1-1-100002-1-10-2-21-21-2-21110000-2110-2-21-21-2-21110000-2110-2-21-21-2-21110000-2110
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χ8022-12-122-1-1-100002-1-10−1+i3−1+i31−i32−1+i31−i32−1+i3−1+i31−i321−i321−i320000−1+i31−i321−i320−1−i3−1−i31+i32−1−i31+i32−1−i3−1−i31+i321+i321+i320000−1−i31+i321+i320-2-21-21-2-21110000-21101−i31−i3−1+i321−i3−1+i321−i31−i3−1+i32−1+i32−1+i3200001−i3−1+i32−1+i3201+i31+i3−1−i321+i3−1−i321+i31+i3−1−i32−1−i32−1−i3200001+i3−1−i32−1−i320
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χ10022-12-1-2-2-11100000−i3i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i3200000−3+i323−i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i32000003+i32−3−i320-2-21-21221-1-100000i3−i301+i31+i3−1−i321+i3−1−i32−1−i3−1−i3−1−i321+i321+i32000003−i32−3+i3201−i31−i3−1+i321−i3−1+i32−1+i3−1+i3−1+i321−i321−i3200000−3−i323+i320
χ10122-12-1-2-2-11100000i3−i30−1−i3−1−i31+i32−1−i31+i321+i31+i31+i32−1−i32−1−i32000003−i32−3+i320−1+i3−1+i31−i32−1+i31−i321−i31−i31−i32−1+i32−1+i3200000−3−i323+i320-2-21-21221-1-100000−i3i301+i31+i3−1−i321+i3−1−i32−1−i3−1−i3−1−i321+i321+i3200000−3+i323−i3201−i31−i3−1+i321−i3−1+i32−1+i3−1+i3−1+i321−i321−i32000003+i32−3−i320
χ1022-220-22−202−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ290000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ430000-22-202−220−22ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ4300001+i3−1−i31+i30−1−i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ2900001−i3−1+i31−i30−1+i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ430000
χ1032-220-22−202−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ430000−1−i31+i3−1−i301+i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26−ζ41+ζ47ζ41−ζ47ζ11−ζ29−ζ11+ζ290000−1+i31−i3−1+i301−i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46−ζ25+ζ31ζ25−ζ31−ζ13+ζ43ζ13−ζ430000-22-202−220−22−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ4300001+i3−1−i31+i30−1−i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26ζ41−ζ47−ζ41+ζ47−ζ11+ζ29ζ11−ζ2900001−i3−1+i31−i30−1+i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46ζ25−ζ31−ζ25+ζ31ζ13−ζ43−ζ13+ζ430000
χ1042-220-2−220−22ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ470000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ310000-22-2022−202−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ4700001+i3−1−i31+i30−1−i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ4700001−i3−1+i31−i30−1+i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ310000
χ1052-220-2−220−22−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ470000−1−i31+i3−1−i301+i3ζ14−ζ26−ζ14+ζ260ζ14−ζ26−ζ14+ζ26ζ11−ζ29−ζ11+ζ29ζ41−ζ47−ζ41+ζ470000−1+i31−i3−1+i301−i3−ζ10+ζ46ζ10−ζ460−ζ10+ζ46ζ10−ζ46−ζ13+ζ43ζ13−ζ43ζ25−ζ31−ζ25+ζ310000-22-2022−202−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ4700001+i3−1−i31+i30−1−i3−ζ14+ζ26ζ14−ζ260−ζ14+ζ26ζ14−ζ26−ζ11+ζ29ζ11−ζ29−ζ41+ζ47ζ41−ζ4700001−i3−1+i31−i30−1+i3ζ10−ζ46−ζ10+ζ460ζ10−ζ46−ζ10+ζ46ζ13−ζ43−ζ13+ζ43−ζ25+ζ31ζ25−ζ310000
χ10644-2-4-20020000000000−2−2i3−2−2i31+i32+2i31+i300−1−i30000000000−2+2i3−2+2i31−i32−2i31−i300−1+i30000000000-4-424200-200000000002+2i32+2i3−1−i3−2−2i3−1−i3001+i300000000002−2i32−2i3−1+i3−2+2i3−1+i3001−i30000000000
χ1074-4-20222−220−2200000000−2−2i32+2i31+i30−1−i3−2ζ14+2ζ262ζ14−2ζ260ζ14−ζ26−ζ14+ζ2600000000−2+2i32−2i31−i30−1+i32ζ10−2ζ46−2ζ10+2ζ460−ζ10+ζ46ζ10−ζ4600000000-4420-2−222202−2000000002+2i3−2−2i3−1−i301+i32ζ14−2ζ26−2ζ14+2ζ260−ζ14+ζ26ζ14−ζ26000000002−2i3−2+2i3−1+i301−i3−2ζ10+2ζ462ζ10−2ζ460ζ10−ζ46−ζ10+ζ4600000000
χ1084-4-202−222202−200000000−2−2i32+2i31+i30−1−i32ζ14−2ζ26−2ζ14+2ζ260−ζ14+ζ26ζ14−ζ2600000000−2+2i32−2i31−i30−1+i3−2ζ10+2ζ462ζ10−2ζ460ζ10−ζ46−ζ10+ζ4600000000-4420-222−220−22000000002+2i3−2−2i3−1−i301+i3−2ζ14+2ζ262ζ14−2ζ260ζ14−ζ26−ζ14+ζ26000000002−2i3−2+2i3−1+i301−i32ζ10−2ζ46−2ζ10+2ζ460−ζ10+ζ46ζ10−ζ4600000000

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