Finite Group Databasebeta

← Group #13155195

Character table — Group #13155195

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size11222222244444444444444181818182424242424242244444448888888888888836363636484848484848336666666121212121212121212121212121254545454727272727272
order123346688361212121224242424242424241616161622666636331266242436121212122424242424242424484848486666662266466886612121212242424242424242416161616226666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-1
χ411111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-111
χ52222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-20000000000
χ62222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−2000000
χ72222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−222000000
χ8222-122-122-1-12-1-1-122-1-1-1-1-1-100000200-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100000200-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100000200-1-1
χ9222-122-122-1-12-1-1-122-1-1-1-1-1-100000-20011222-122-122-1-12-1-1-122-1-1-1-1-1-100000-20011222-122-122-1-12-1-1-122-1-1-1-1-1-100000-20011
χ10222-122-1-2-2-1-12-1-1-1-2-211111100000000−i3i3222-122-1-2-2-1-12-1-1-1-2-211111100000000−i3i3222-122-1-2-2-1-12-1-1-1-2-211111100000000−i3i3
χ11222-122-1-2-2-1-12-1-1-1-2-211111100000000i3−i3222-122-1-2-2-1-12-1-1-1-2-211111100000000i3−i3222-122-1-2-2-1-12-1-1-1-2-211111100000000i3−i3
χ1222-122-1222-1-1-12-1-1-1-122-1-1-1-1000020-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1000020-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1000020-1-100
χ1322-122-1222-1-1-12-1-1-1-122-1-1-1-10000-20110022-122-1222-1-1-12-1-1-1-122-1-1-1-10000-20110022-122-1222-1-1-12-1-1-1-122-1-1-1-10000-201100
χ1422-122-12-2-2-1-1-12-1-111-2-21111000000−i3i30022-122-12-2-2-1-1-12-1-111-2-21111000000−i3i30022-122-12-2-2-1-1-12-1-111-2-21111000000−i3i300
χ1522-122-12-2-2-1-1-12-1-111-2-21111000000i3−i30022-122-12-2-2-1-1-12-1-111-2-21111000000i3−i30022-122-12-2-2-1-1-12-1-111-2-21111000000i3−i300
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−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+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+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−ζ47000000
χ20444-2-44-200-2-2-4222000000000000000000444-2-44-200-2-2-4222000000000000000000444-2-44-200-2-2-4222000000000000000000
χ2144-24-4-2400-2-22-42200000000000000000044-24-4-2400-2-22-42200000000000000000044-24-4-2400-2-22-422000000000000000000
χ2244-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-211110000000000
χ2344-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-10000000000
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−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−3i3i0000000000
χ264-44-20-4222−22-22000022−22−22−2−22200000000004-44-20-4222−22-22000022−22−22−2−22200000000004-44-20-4222−22-22000022−22−22−2−2220000000000
χ274-44-20-42−2222-220000−22222−222−2−200000000004-44-20-42−2222-220000−22222−222−2−200000000004-44-20-42−2222-220000−22222−222−2−20000000000
χ284-4-2402-422−22-220000−2222−22−2−22200000000004-4-2402-422−22-220000−2222−22−2−22200000000004-4-2402-422−22-220000−2222−22−2−2220000000000
χ294-4-2402-4−2222-2200002−2−222222−2−200000000004-4-2402-4−2222-2200002−2−222222−2−200000000004-4-2402-4−2222-2200002−2−222222−2−20000000000
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−ζ26−2ζ460000000000
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+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+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−ζ460000000000
χ34111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ35111111111111111111111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ3611111111111111111111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111
χ3711111111111111111111111-1-1-1-1-11-1-11111111111111111111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1
χ382222222-2-2222222-2-2-2-2-2-2-2-200000000002222222-2-2222222-2-2-2-2-2-2-2-20000000000-2-2-2-2-2-2-222-2-2-2-2-2-2222222220000000000
χ392222-2220022-2-2-2-20000000022−2−20000002222-2220022-2-2-2-20000000022−2−2000000-2-2-2-22-2-200-2-2222200000000−2−222000000
χ402222-2220022-2-2-2-200000000−2−2220000002222-2220022-2-2-2-200000000−2−222000000-2-2-2-22-2-200-2-222220000000022−2−2000000
χ41222-122-122-1-12-1-1-122-1-1-1-1-1-100000200-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100000200-1-1-2-2-21-2-21-2-211-2111-2-211111100000-20011
χ42222-122-122-1-12-1-1-122-1-1-1-1-1-100000-20011222-122-122-1-12-1-1-122-1-1-1-1-1-100000-20011-2-2-21-2-21-2-211-2111-2-211111100000200-1-1
χ43222-122-1-2-2-1-12-1-1-1-2-211111100000000−i3i3222-122-1-2-2-1-12-1-1-1-2-211111100000000−i3i3-2-2-21-2-212211-211122-1-1-1-1-1-100000000i3−i3
χ44222-122-1-2-2-1-12-1-1-1-2-211111100000000i3−i3222-122-1-2-2-1-12-1-1-1-2-211111100000000i3−i3-2-2-21-2-212211-211122-1-1-1-1-1-100000000−i3i3
χ4522-122-1222-1-1-12-1-1-1-122-1-1-1-1000020-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1000020-1-100-2-21-2-21-2-2-2111-21111-2-211110000-201100
χ4622-122-1222-1-1-12-1-1-1-122-1-1-1-10000-20110022-122-1222-1-1-12-1-1-1-122-1-1-1-10000-201100-2-21-2-21-2-2-2111-21111-2-21111000020-1-100
χ4722-122-12-2-2-1-1-12-1-111-2-21111000000−i3i30022-122-12-2-2-1-1-12-1-111-2-21111000000−i3i300-2-21-2-21-222111-211-1-122-1-1-1-1000000i3−i300
χ4822-122-12-2-2-1-1-12-1-111-2-21111000000i3−i30022-122-12-2-2-1-1-12-1-111-2-21111000000i3−i300-2-21-2-21-222111-211-1-122-1-1-1-1000000−i3i300
χ492-2220-2-22−22-200002−22−222−2−2−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−ζ43000000-22-2-2022−22-220000−22−22−2−222ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000
χ502-2220-2-22−22-200002−22−222−2−2ζ25−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+ζ43000000-22-2-2022−22-220000−22−22−2−222−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000
χ512-2220-2-2−222-20000−22−22−2−222ζ11−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+ζ47000000-22-2-20222−2-2200002−22−222−2−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000
χ522-2220-2-2−222-20000−22−22−2−222−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−ζ47000000-22-2-20222−2-2200002−22−222−2−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000
χ53444-2-44-200-2-2-4222000000000000000000444-2-44-200-2-2-4222000000000000000000-4-4-424-4200224-2-2-2000000000000000000
χ5444-24-4-2400-2-22-42200000000000000000044-24-4-2400-2-22-422000000000000000000-4-42-442-40022-24-2-2000000000000000000
χ5544-2-24-2-24411-2-211-2-2-2-21111000000000044-2-24-2-24411-2-211-2-2-2-211110000000000-4-422-422-4-4-1-122-1-12222-1-1-1-10000000000
χ5644-2-24-2-2-4-411-2-2112222-1-1-1-1000000000044-2-24-2-2-4-411-2-2112222-1-1-1-10000000000-4-422-42244-1-122-1-1-2-2-2-211110000000000
χ5744-2-2-4-2-2001122-1-100003i−3i3i−3i000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000-4-42242200-1-1-2-2110000−3i3i−3i3i0000000000
χ5844-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000-4-42242200-1-1-2-21100003i−3i3i−3i0000000000
χ594-44-20-4222−22-22000022−22−22−2−22200000000004-44-20-4222−22-22000022−22−22−2−2220000000000-44-4204-2−22222-20000−22222−222−2−20000000000
χ604-44-20-42−2222-220000−22222−222−2−200000000004-44-20-42−2222-220000−22222−222−2−20000000000-44-4204-222−222-2000022−22−22−2−2220000000000
χ614-4-2402-422−22-220000−2222−22−2−22200000000004-4-2402-422−22-220000−2222−22−2−2220000000000-442-40-24−22222-200002−2−222222−2−20000000000
χ624-4-2402-4−2222-2200002−2−222222−2−200000000004-4-2402-4−2222-2200002−2−222222−2−20000000000-442-40-2422−222-20000−2222−22−2−2220000000000
χ634-4-2-202222−221-1003i−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−ζ26−2ζ460000000000-44220-2-2−2222-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000
χ644-4-2-202222−221-100−3i3i−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+ζ460000000000-44220-2-2−2222-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000
χ654-4-2-2022−22221-1003i−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+2ζ460000000000-44220-2-222−22-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000
χ664-4-2-2022−22221-100−3i3i2−22−2−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−ζ460000000000-44220-2-222−22-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000
χ67222222222222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ68222222222222222222222222222-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111000000000000000000000000000000000
χ6922222222222222222222222-2-2-2-22-222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-1-111000000000000000000000000000000000
χ7022222222222222222222222-2-2-2-2-22-2-222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1000000000000000000000000000000000
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χ724444-4440044-4-4-4-4000000002222−22−22000000-2-2-2-22-2-200-2-2222200000000−2−222000000000000000000000000000000000000000
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χ75444-244-244-2-24-2-2-244-2-2-2-2-2-200000-40022-2-2-21-2-21-2-211-2111-2-211111100000200-1-1000000000000000000000000000000000
χ76444-244-2-4-4-2-24-2-2-2-4-422222200000000−2i32i3-2-2-21-2-212211-211122-1-1-1-1-1-100000000i3−i3000000000000000000000000000000000
χ77444-244-2-4-4-2-24-2-2-2-4-4222222000000002i3−2i3-2-2-21-2-212211-211122-1-1-1-1-1-100000000−i3i3000000000000000000000000000000000
χ7844-244-2444-2-2-24-2-2-2-244-2-2-2-2000040-2-200-2-21-2-21-2-2-2111-21111-2-211110000-201100000000000000000000000000000000000
χ7944-244-2444-2-2-24-2-2-2-244-2-2-2-20000-402200-2-21-2-21-2-2-2111-21111-2-21111000020-1-100000000000000000000000000000000000
χ8044-244-24-4-4-2-2-24-2-222-4-42222000000−2i32i300-2-21-2-21-222111-211-1-122-1-1-1-1000000i3−i300000000000000000000000000000000000
χ8144-244-24-4-4-2-2-24-2-222-4-422220000002i3−2i300-2-21-2-21-222111-211-1-122-1-1-1-1000000−i3i300000000000000000000000000000000000
χ824-4440-4-422−224-4000022−2222−222222−22−22−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ472ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ43000000-22-2-2022−22-220000−22−22−2−222ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43000000000000000000000000000000000000000
χ834-4440-4-422−224-4000022−2222−222222−22−222ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43000000-22-2-2022−22-220000−22−22−2−222−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43000000000000000000000000000000000000000
χ844-4440-4-4−22224-40000−2222−2222−22−2222222ζ11−2ζ13−2ζ29+2ζ43−2ζ11+2ζ13+2ζ29−2ζ432ζ25−2ζ31+2ζ41−2ζ47−2ζ25+2ζ31−2ζ41+2ζ47000000-22-2-20222−2-2200002−22−222−2−2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47000000000000000000000000000000000000000
χ854-4440-4-4−22224-40000−2222−2222−22−222222−2ζ11+2ζ13+2ζ29−2ζ432ζ11−2ζ13−2ζ29+2ζ43−2ζ25+2ζ31−2ζ41+2ζ472ζ25−2ζ31+2ζ41−2ζ47000000-22-2-20222−2-2200002−22−222−2−2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47000000000000000000000000000000000000000
χ86888-4-88-400-4-4-8444000000000000000000-4-4-424-4200224-2-2-2000000000000000000000000000000000000000000000000000
χ8788-48-8-4800-4-44-844000000000000000000-4-42-442-40022-24-2-2000000000000000000000000000000000000000000000000000
χ8888-4-48-4-48822-4-422-4-4-4-422220000000000-4-422-422-4-4-1-122-1-12222-1-1-1-10000000000000000000000000000000000000000000
χ8988-4-48-4-4-8-822-4-4224444-2-2-2-20000000000-4-422-42244-1-122-1-1-2-2-2-211110000000000000000000000000000000000000000000
χ9088-4-4-8-4-4002244-2-200006i−6i6i−6i0000000000-4-42242200-1-1-2-2110000−3i3i−3i3i0000000000000000000000000000000000000000000
χ9188-4-4-8-4-4002244-2-20000−6i6i−6i6i0000000000-4-42242200-1-1-2-21100003i−3i3i−3i0000000000000000000000000000000000000000000
χ928-88-40-8442−42-44000042−42−2222−22−2222220000000000-44-4204-2−22222-20000−22222−222−2−20000000000000000000000000000000000000000000
χ938-88-40-84−4242-440000−424222−222222−22−220000000000-44-4204-222−222-2000022−22−22−2−2220000000000000000000000000000000000000000000
χ948-8-4804-842−42-440000−222242−42−22−2222220000000000-442-40-24−22222-200002−2−222222−2−20000000000000000000000000000000000000000000
χ958-8-4804-8−4242-44000022−22−42422222−22−220000000000-442-40-2422−222-20000−2222−22−2−2220000000000000000000000000000000000000000000
χ968-8-4-404442−422-2006i−6i−2222−2222−4ζ10−2ζ14−4ζ26−2ζ462ζ10+4ζ14+2ζ26+4ζ464ζ10+2ζ14+4ζ26+2ζ46−2ζ10−4ζ14−2ζ26−4ζ460000000000-44220-2-2−2222-1100−3i3i2−22−22ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460000000000000000000000000000000000000000000
χ978-8-4-404442−422-200−6i6i−2222−22222ζ10+4ζ14+2ζ26+4ζ46−4ζ10−2ζ14−4ζ26−2ζ46−2ζ10−4ζ14−2ζ26−4ζ464ζ10+2ζ14+4ζ26+2ζ460000000000-44220-2-2−2222-11003i−3i2−22−2−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460000000000000000000000000000000000000000000
χ988-8-4-4044−42422-2006i−6i22−2222−224ζ10+2ζ14+4ζ26+2ζ46−2ζ10−4ζ14−2ζ26−4ζ46−4ζ10−2ζ14−4ζ26−2ζ462ζ10+4ζ14+2ζ26+4ζ460000000000-44220-2-222−22-1100−3i3i−22−22−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ460000000000000000000000000000000000000000000
χ998-8-4-4044−42422-200−6i6i22−2222−22−2ζ10−4ζ14−2ζ26−4ζ464ζ10+2ζ14+4ζ26+2ζ462ζ10+4ζ14+2ζ26+4ζ46−4ζ10−2ζ14−4ζ26−2ζ460000000000-44220-2-222−22-11003i−3i−22−22ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ460000000000000000000000000000000000000000000

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