Finite Group Databasebeta

← Group #11797678

Character table — Group #11797678

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1122222224444444444444418181818242424242424112222222444444444444441818181824242424242411222222244444444444444181818182424242424241122222224444444444444418181818242424242424
order1233466883612121212242424242424242416161616246612124412124121288121212121212242424242424242416161616441212121222664668866121212122424242424242424161616162466121244121241212881212121212122424242424242424161616164412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-1
χ411111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-111
χ52222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-20000000000
χ62222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−2000000
χ72222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−222000000
χ8222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-100222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-100222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-100222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-100
χ9222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-201100222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-201100222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-201100222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-201100
χ10222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i300222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i300222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i300222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i300
χ11222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i300222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i300222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i300222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i300
χ1222-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-122-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-122-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-122-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-1
χ1322-1222-122-1-12-1-1-1-1-122-1-1-1-100000-2001122-1222-122-1-12-1-1-1-1-122-1-1-1-100000-2001122-1222-122-1-12-1-1-1-1-122-1-1-1-100000-2001122-1222-122-1-12-1-1-1-1-122-1-1-1-100000-20011
χ1422-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i322-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i322-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i322-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i3
χ1522-1222-1-2-2-1-12-1-1-111-2-2111100000000i3−i322-1222-1-2-2-1-12-1-1-111-2-2111100000000i3−i322-1222-1-2-2-1-12-1-1-111-2-2111100000000i3−i322-1222-1-2-2-1-12-1-1-111-2-2111100000000i3−i3
χ162-2220-2-22−22-200002−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-2220-2-22−22-200002−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-2220-2-22−22-200002−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002-2220-2-22−22-200002−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000
χ172-2220-2-22−22-200002−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-2220-2-22−22-200002−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-2220-2-22−22-200002−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002-2220-2-22−22-200002−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000
χ182-2220-2-2−222-20000−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-2220-2-2−222-20000−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-2220-2-2−222-20000−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002-2220-2-2−222-20000−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000
χ192-2220-2-2−222-20000−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-2220-2-2−222-20000−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-2220-2-2−222-20000−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002-2220-2-2−222-20000−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000
χ20444-2-4-2400-2-22-422000000000000000000444-2-4-2400-2-22-422000000000000000000444-2-4-2400-2-22-422000000000000000000444-2-4-2400-2-22-422000000000000000000
χ2144-24-44-200-2-2-422200000000000000000044-24-44-200-2-2-422200000000000000000044-24-44-200-2-2-422200000000000000000044-24-44-200-2-2-4222000000000000000000
χ2244-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-211110000000000
χ2344-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-10000000000
χ2444-2-2-4-2-2001122-1-100003i−3i3i−3i000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000
χ2544-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000
χ264-44-202-422−22-22000022−22−22−2−22200000000004-44-202-422−22-22000022−22−22−2−22200000000004-44-202-422−22-22000022−22−22−2−22200000000004-44-202-422−22-22000022−22−22−2−2220000000000
χ274-44-202-4−2222-220000−22222−222−2−200000000004-44-202-4−2222-220000−22222−222−2−200000000004-44-202-4−2222-220000−22222−222−2−200000000004-44-202-4−2222-220000−22222−222−2−20000000000
χ284-4-240-4222−22-220000−2222−22−2−22200000000004-4-240-4222−22-220000−2222−22−2−22200000000004-4-240-4222−22-220000−2222−22−2−22200000000004-4-240-4222−22-220000−2222−22−2−2220000000000
χ294-4-240-42−2222-2200002−2−222222−2−200000000004-4-240-42−2222-2200002−2−222222−2−200000000004-4-240-42−2222-2200002−2−222222−2−200000000004-4-240-42−2222-2200002−2−222222−2−20000000000
χ304-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000004-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000004-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000004-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000
χ314-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600000000004-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600000000004-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600000000004-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000
χ324-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000004-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000004-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000004-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000
χ334-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600000000004-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600000000004-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600000000004-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000
χ34111111111111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii-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−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ35111111111111111111111111111-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii
χ3611111111111111111111111-1-1-1-11-111-1-1iiiiiiiiiiiiiiiiiiiiiii−i−i−i−ii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−ii−i−iii
χ3711111111111111111111111-1-1-1-1-11-1-111iiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii−iii−i−i
χ382222222-2-2222222-2-2-2-2-2-2-2-200000000002i2i2i2i2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000-2-2-2-2-2-2-222-2-2-2-2-2-2222222220000000000−2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000
χ392222-2220022-2-2-2-20000000022−2−20000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000i2i2−i2−i2000000-2-2-2-22-2-200-2-2222200000000−2−222000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000−i2−i2i2i2000000
χ402222-2220022-2-2-2-200000000−2−2220000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000−i2−i2i2i2000000-2-2-2-22-2-200-2-222220000000022−2−2000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000i2i2−i2−i2000000
χ41222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-1002i2i2i−i2i−i2i2i2i−i−i−i2i−i−i2i2i−i−i−i−i−i−i00002i0−i−i00-2-2-21-21-2-2-2111-211-2-21111110000-201100−2i−2i−2ii−2ii−2i−2i−2iiii−2iii−2i−2iiiiiii0000−2i0ii00
χ42222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-2011002i2i2i−i2i−i2i2i2i−i−i−i2i−i−i2i2i−i−i−i−i−i−i0000−2i0ii00-2-2-21-21-2-2-2111-211-2-2111111000020-1-100−2i−2i−2ii−2ii−2i−2i−2iiii−2iii−2i−2iiiiiii00002i0−i−i00
χ43222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i3002i2i2i−i2i−i2i−2i−2i−i−i−i2i−i−i−2i−2iiiiiii0000003−300-2-2-21-21-222111-21122-1-1-1-1-1-1000000i3−i300−2i−2i−2ii−2ii−2i2i2iiii−2iii2i2i−i−i−i−i−i−i000000−3300
χ44222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i3002i2i2i−i2i−i2i−2i−2i−i−i−i2i−i−i−2i−2iiiiiii000000−3300-2-2-21-21-222111-21122-1-1-1-1-1-1000000−i3i300−2i−2i−2ii−2ii−2i2i2iiii−2iii2i2i−i−i−i−i−i−i0000003−300
χ4522-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-12i2i−i2i2i2i−i2i2i−i−i2i−i−i−i−i−i2i2i−i−i−i−i000002i00−i−i-2-21-2-2-21-2-211-211111-2-2111100000-20011−2i−2ii−2i−2i−2ii−2i−2iii−2iiiiii−2i−2iiiii00000−2i00ii
χ4622-1222-122-1-12-1-1-1-1-122-1-1-1-100000-200112i2i−i2i2i2i−i2i2i−i−i2i−i−i−i−i−i2i2i−i−i−i−i00000−2i00ii-2-21-2-2-21-2-211-211111-2-2111100000200-1-1−2i−2ii−2i−2i−2ii−2i−2iii−2iiiiii−2i−2iiiii000002i00−i−i
χ4722-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i32i2i−i2i2i2i−i−2i−2i−i−i2i−i−i−iii−2i−2iiiii000000003−3-2-21-2-2-212211-2111-1-122-1-1-1-100000000i3−i3−2i−2ii−2i−2i−2ii2i2iii−2iiii−i−i2i2i−i−i−i−i00000000−33
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χ964-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000-44220-2-2−2222-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000004-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000-44220-2-2−2222-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000
χ974-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000-44220-2-2−2222-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600000000004-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000-44220-2-2−2222-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000
χ984-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000-44220-2-222−22-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000004-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000-44220-2-222−22-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000
χ994-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000-44220-2-222−22-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600000000004-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000-44220-2-222−22-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000
χ100111111111111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
χ101111111111111111111111111111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiiiiiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−i−i
χ10211111111111111111111111-1-1-1-11-111-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−ii−i−iii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111iiiiiiiiiiiiiiiiiiiiiii−i−i−i−ii−iii−i−i
χ10311111111111111111111111-1-1-1-1-11-1-111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiii−iii−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1iiiiiiiiiiiiiiiiiiiiiii−i−i−i−i−ii−i−iii
χ1042222222-2-2222222-2-2-2-2-2-2-2-20000000000−2i−2i−2i−2i−2i−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i0000000000-2-2-2-2-2-2-222-2-2-2-2-2-22222222200000000002i2i2i2i2i2i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i0000000000
χ1052222-2220022-2-2-2-20000000022−2−2000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000−i2−i2i2i2000000-2-2-2-22-2-200-2-2222200000000−2−2220000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000i2i2−i2−i2000000
χ1062222-2220022-2-2-2-200000000−2−222000000−2i−2i−2i−2i2i−2i−2i00−2i−2i2i2i2i2i00000000i2i2−i2−i2000000-2-2-2-22-2-200-2-222220000000022−2−20000002i2i2i2i−2i2i2i002i2i−2i−2i−2i−2i00000000−i2−i2i2i2000000
χ107222-12-1222-1-1-12-1-122-1-1-1-1-1-1000020-1-100−2i−2i−2ii−2ii−2i−2i−2iiii−2iii−2i−2iiiiiii0000−2i0ii00-2-2-21-21-2-2-2111-211-2-21111110000-2011002i2i2i−i2i−i2i2i2i−i−i−i2i−i−i2i2i−i−i−i−i−i−i00002i0−i−i00
χ108222-12-1222-1-1-12-1-122-1-1-1-1-1-10000-201100−2i−2i−2ii−2ii−2i−2i−2iiii−2iii−2i−2iiiiiii00002i0−i−i00-2-2-21-21-2-2-2111-211-2-2111111000020-1-1002i2i2i−i2i−i2i2i2i−i−i−i2i−i−i2i2i−i−i−i−i−i−i0000−2i0ii00
χ109222-12-12-2-2-1-1-12-1-1-2-2111111000000−i3i300−2i−2i−2ii−2ii−2i2i2iiii−2iii2i2i−i−i−i−i−i−i000000−3300-2-2-21-21-222111-21122-1-1-1-1-1-1000000i3−i3002i2i2i−i2i−i2i−2i−2i−i−i−i2i−i−i−2i−2iiiiiii0000003−300
χ110222-12-12-2-2-1-1-12-1-1-2-2111111000000i3−i300−2i−2i−2ii−2ii−2i2i2iiii−2iii2i2i−i−i−i−i−i−i0000003−300-2-2-21-21-222111-21122-1-1-1-1-1-1000000−i3i3002i2i2i−i2i−i2i−2i−2i−i−i−i2i−i−i−2i−2iiiiiii000000−3300
χ11122-1222-122-1-12-1-1-1-1-122-1-1-1-100000200-1-1−2i−2ii−2i−2i−2ii−2i−2iii−2iiiiii−2i−2iiiii00000−2i00ii-2-21-2-2-21-2-211-211111-2-2111100000-200112i2i−i2i2i2i−i2i2i−i−i2i−i−i−i−i−i2i2i−i−i−i−i000002i00−i−i
χ11222-1222-122-1-12-1-1-1-1-122-1-1-1-100000-20011−2i−2ii−2i−2i−2ii−2i−2iii−2iiiiii−2i−2iiiii000002i00−i−i-2-21-2-2-21-2-211-211111-2-2111100000200-1-12i2i−i2i2i2i−i2i2i−i−i2i−i−i−i−i−i2i2i−i−i−i−i00000−2i00ii
χ11322-1222-1-2-2-1-12-1-1-111-2-2111100000000−i3i3−2i−2ii−2i−2i−2ii2i2iii−2iiii−i−i2i2i−i−i−i−i00000000−33-2-21-2-2-212211-2111-1-122-1-1-1-100000000i3−i32i2i−i2i2i2i−i−2i−2i−i−i2i−i−i−iii−2i−2iiiii000000003−3
χ11422-1222-1-2-2-1-12-1-1-111-2-2111100000000i3−i3−2i−2ii−2i−2i−2ii2i2iii−2iiii−i−i2i2i−i−i−i−i000000003−3-2-21-2-2-212211-2111-1-122-1-1-1-100000000−i3i32i2i−i2i2i2i−i−2i−2i−i−i2i−i−i−iii−2i−2iiiii00000000−33
χ1152-2220-2-22−22-200002−22−222−2−2−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43000000−2i2i−2i−2i02i2i−i2i2−2i2i0000−i2i2−i2i2−i2−i2i2i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000-22-2-2022−22-220000−22−22−2−222ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ430000002i−2i2i2i0−2i−2ii2−i22i−2i0000i2−i2i2−i2i2i2−i2−i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ1162-2220-2-22−22-200002−22−222−2−2ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43000000−2i2i−2i−2i02i2i−i2i2−2i2i0000−i2i2−i2i2−i2−i2i2i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000-22-2-2022−22-220000−22−22−2−222−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ430000002i−2i2i2i0−2i−2ii2−i22i−2i0000i2−i2i2−i2i2i2−i2−i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ1172-2220-2-2−222-20000−22−22−2−222ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47000000−2i2i−2i−2i02i2ii2−i2−2i2i0000i2−i2i2−i2i2i2−i2−i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000-22-2-20222−2-2200002−22−222−2−2−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ470000002i−2i2i2i0−2i−2i−i2i22i−2i0000−i2i2−i2i2−i2−i2i2i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ1182-2220-2-2−222-20000−22−22−2−222−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47000000−2i2i−2i−2i02i2ii2−i2−2i2i0000i2−i2i2−i2i2i2−i2−i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000-22-2-20222−2-2200002−22−222−2−2ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ470000002i−2i2i2i0−2i−2i−i2i22i−2i0000−i2i2−i2i2−i2−i2i2i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ119444-2-4-2400-2-22-422000000000000000000−4i−4i−4i2i4i2i−4i002i2i−2i4i−2i−2i000000000000000000-4-4-4242-40022-24-2-20000000000000000004i4i4i−2i−4i−2i4i00−2i−2i2i−4i2i2i000000000000000000
χ12044-24-44-200-2-2-4222000000000000000000−4i−4i2i−4i4i−4i2i002i2i4i−2i−2i−2i000000000000000000-4-42-44-4200224-2-2-20000000000000000004i4i−2i4i−4i4i−2i00−2i−2i−4i2i2i2i000000000000000000
χ12144-2-24-2-24411-2-211-2-2-2-211110000000000−4i−4i2i2i−4i2i2i−4i−4i−i−i2i2i−i−i2i2i2i2i−i−i−i−i0000000000-4-422-422-4-4-1-122-1-12222-1-1-1-100000000004i4i−2i−2i4i−2i−2i4i4iii−2i−2iii−2i−2i−2i−2iiiii0000000000
χ12244-2-24-2-2-4-411-2-2112222-1-1-1-10000000000−4i−4i2i2i−4i2i2i4i4i−i−i2i2i−i−i−2i−2i−2i−2iiiii0000000000-4-422-42244-1-122-1-1-2-2-2-2111100000000004i4i−2i−2i4i−2i−2i−4i−4iii−2i−2iii2i2i2i2i−i−i−i−i0000000000
χ12344-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000−4i−4i2i2i4i2i2i00−i−i−2i−2iii00003-33-30000000000-4-42242200-1-1-2-2110000−3i3i−3i3i00000000004i4i−2i−2i−4i−2i−2i00ii2i2i−i−i0000-33-330000000000
χ12444-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000−4i−4i2i2i4i2i2i00−i−i−2i−2iii0000-33-330000000000-4-42242200-1-1-2-21100003i−3i3i−3i00000000004i4i−2i−2i−4i−2i−2i00ii2i2i−i−i00003-33-30000000000
χ1254-44-202-422−22-22000022−22−22−2−2220000000000−4i4i−4i2i0−2i4i−2i22i22i−2i0000−2i22i2i2−i2i2i2−i2−i20000000000-44-420-24−22222-20000−22222−222−2−200000000004i−4i4i−2i02i−4i2i2−2i2−2i2i00002i2−2i2−i2i2−i2−i2i2i20000000000
χ1264-44-202-4−2222-220000−22222−222−2−20000000000−4i4i−4i2i0−2i4i2i2−2i22i−2i00002i2−2i2−i2i2−i2−i2i2i20000000000-44-420-2422−222-2000022−22−22−2−22200000000004i−4i4i−2i02i−4i−2i22i2−2i2i0000−2i22i2i2−i2i2i2−i2−i20000000000
χ1274-4-240-4222−22-220000−2222−22−2−2220000000000−4i4i2i−4i04i−2i−2i22i22i−2i0000i2−i2−2i22i2i2i2−i2−i20000000000-442-404-2−22222-200002−2−222222−2−200000000004i−4i−2i4i0−4i2i2i2−2i2−2i2i0000−i2i22i2−2i2−i2−i2i2i20000000000
χ1284-4-240-42−2222-2200002−2−222222−2−20000000000−4i4i2i−4i04i−2i2i2−2i22i−2i0000−i2i22i2−2i2−i2−i2i2i20000000000-442-404-222−222-20000−2222−22−2−22200000000004i−4i−2i4i0−4i2i−2i22i2−2i2i0000i2−i2−2i22i2i2i2−i2−i20000000000
χ1294-4-2-202222−221-1003i−3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000−4i4i2i2i0−2i−2i−2i22i2−ii003-3i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ460000000000-44220-2-2−2222-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600000000004i−4i−2i−2i02i2i2i2−2i2i−i00-33−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ460000000000
χ1304-4-2-202222−221-100−3i3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000−4i4i2i2i0−2i−2i−2i22i2−ii00-33i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ460000000000-44220-2-2−2222-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600000000004i−4i−2i−2i02i2i2i2−2i2i−i003-3−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ460000000000
χ1314-4-2-2022−22221-1003i−3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000−4i4i2i2i0−2i−2i2i2−2i2−ii003-3−i2i2−i2i2−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ460000000000-44220-2-222−22-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600000000004i−4i−2i−2i02i2i−2i22i2i−i00-33i2−i2i2−i2ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ460000000000
χ1324-4-2-2022−22221-100−3i3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000−4i4i2i2i0−2i−2i2i2−2i2−ii00-33−i2i2−i2i22ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ460000000000-44220-2-222−22-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600000000004i−4i−2i−2i02i2i−2i22i2i−i003-3i2−i2i2−i2−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ460000000000

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