Finite Group Databasebeta

← Group #10590632

Character table — Group #10590632

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222222222222222222222222244444444444444444444446666666666666666666666662424242424247272
order124423346666888812121212121224242424242424243666612121212122424242424242424242424241616161616161616484848484848484848484848484848482466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ511-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-11-1
χ611-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1-11-1-1111111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-11
χ711-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-11
χ811-1-1-1111-1-111-1-111-1-1-1-111-1-1-1-111111-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-1111-1
χ9222222222222-2-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000
χ10222222-12222-1222222-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-100
χ11222222-12222-1222222-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2111100
χ12222222-12222-1-2-2-2-222-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000−i3i3−i3i300
χ13222222-12222-1-2-2-2-222-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000i3−i3i3−i300
χ1422222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-12-1-122-1-1-1-122-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ1522222-122-1-1-122222-1-122-1-1-1-1-1-1-1-1-1-1-12-1-1-1-1-12-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000
χ1622222-122-1-1-12-2-2-2-2-1-122-1-111111111-12-1-1-1-1-12-1-1-2-21111-2-21111000000003333−3−3−3−33333−3−3−3−300000000
χ1722222-122-1-1-12-2-2-2-2-1-122-1-111111111-12-1-1-1-1-12-1-1-2-21111-2-2111100000000−3−3−3−33333−3−3−3−3333300000000
χ182222-222-2-2-22200002222-2-2000000002-2-2-2222-2-2-200000000000022−2−222−2−222−2−222−2−222−2−222−2−200000000
χ192222-222-2-2-22200002222-2-2000000002-2-2-2222-2-2-2000000000000−2−222−2−222−2−222−2−222−2−222−2−22200000000
χ202222-2-12-211-120000-1-1221133−3−333−3−3-1-211-1-1-1-2110033−3−30033−3−322−2−222−2−2ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600000000
χ212222-2-12-211-120000-1-1221133−3−333−3−3-1-211-1-1-1-2110033−3−30033−3−3−2−222−2−222−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600000000
χ222222-2-12-211-120000-1-12211−3−333−3−333-1-211-1-1-1-21100−3−33300−3−33322−2−222−2−2ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400000000
χ232222-2-12-211-120000-1-12211−3−333−3−333-1-211-1-1-1-21100−3−33300−3−333−2−222−2−222−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400000000
χ2422-2-2222-222220000-2-2-2-2-2-20000000022222-2-2-2-2-200000000000022−2−2−2−22222−2−222−2−2−2−222−2−22200000000
χ2522-2-2222-222220000-2-2-2-2-2-20000000022222-2-2-2-2-2000000000000−2−22222−2−2−2−222−2−22222−2−222−2−200000000
χ2622-2-22-12-2-1-1-12000011-2-21133−3−3−3−333-12-1-1-111-21100−3−3330033−3−322−2−2−2−222ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ1400000000
χ2722-2-22-12-2-1-1-12000011-2-21133−3−3−3−333-12-1-1-111-21100−3−3330033−3−3−2−22222−2−2−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ1400000000
χ2822-2-22-12-2-1-1-12000011-2-211−3−33333−3−3-12-1-1-111-2110033−3−300−3−33322−2−2−2−222ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ4600000000
χ2922-2-22-12-2-1-1-12000011-2-211−3−33333−3−3-12-1-1-111-2110033−3−300−3−333−2−22222−2−2−ζ10+ζ14−ζ10+ζ14ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46−ζ26+ζ46−ζ26+ζ4600000000
χ3022-2-2-2222-2-22222-2-2-2-2-2-2222222-2-2-2-22-2-2-22-2-2222-2-2-2-2-2-222222200000000000000000000000000000000
χ3122-2-2-22-12-2-22-122-2-2-2-211222222-2-2-2-2-1111-111-1-1-1111111-1-1-1-1-1-100000000000000000000000000−i3i3i3−i300
χ3222-2-2-22-12-2-22-122-2-2-2-211222222-2-2-2-2-1111-111-1-1-1111111-1-1-1-1-1-100000000000000000000000000i3−i3−i3i300
χ3322-2-2-22-12-2-22-1-2-222-2-21122-2-2-2-22222-1111-111-1-1-1-1-1-1-1-1-11111110000000000000000000000002-2-1-11100
χ3422-2-2-22-12-2-22-1-2-222-2-21122-2-2-2-22222-1111-111-1-1-1-1-1-1-1-1-1111111000000000000000000000000-2211-1-100
χ3522-2-2-2-12211-1222-2-211-2-2-1-1-1-1-1-11111-1-211-1112-1-1-2-2111122-1-1-1-1000000003333−3−3−3−3−3−3−3−3333300000000
χ3622-2-2-2-12211-1222-2-211-2-2-1-1-1-1-1-11111-1-211-1112-1-1-2-2111122-1-1-1-100000000−3−3−3−333333333−3−3−3−300000000
χ3722-2-2-2-12211-12-2-22211-2-2-1-11111-1-1-1-1-1-211-1112-1-122-1-1-1-1-2-211112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000
χ3822-2-2-2-12211-12-2-22211-2-2-1-11111-1-1-1-1-1-211-1112-1-122-1-1-1-1-2-21111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000
χ392-22i−2i022000-2-2−i2i22−22i−2i2i−2i00−i2i2−i2i22−22−22000-22i−2i0002−22−22−2−i2i2−i2i2−i2i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000
χ402-22i−2i022000-2-2−i2i22−22i−2i2i−2i00−i2i2−i2i22−22−22000-22i−2i0002−22−22−2−i2i2−i2i2−i2i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000
χ412-22i−2i022000-2-2i2−i2−222i−2i2i−2i00i2−i2i2−i2−22−222000-22i−2i000−22−22−22i2−i2i2−i2i2−i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000
χ422-22i−2i022000-2-2i2−i2−222i−2i2i−2i00i2−i2i2−i2−22−222000-22i−2i000−22−22−22i2−i2i2−i2i2−i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000
χ432-22i−2i0-120−i3i31-2−i2i22−2−ii2i−2i3−3ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14-10−i3i31−ii03−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ31+ζ41ζ31−ζ41ζ29−ζ43−ζ29+ζ43ζ25−ζ47−ζ25+ζ47−ζ11+ζ13ζ11−ζ13−ζ29−ζ43ζ29+ζ43ζ31+ζ41−ζ31−ζ41−ζ11−ζ13ζ11+ζ13ζ25+ζ47−ζ25−ζ4700000000
χ442-22i−2i0-120−i3i31-2−i2i22−2−ii2i−2i3−3ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14-10−i3i31−ii03−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ31−ζ41−ζ31+ζ41−ζ29+ζ43ζ29−ζ43−ζ25+ζ47ζ25−ζ47ζ11−ζ13−ζ11+ζ13ζ29+ζ43−ζ29−ζ43−ζ31−ζ41ζ31+ζ41ζ11+ζ13−ζ11−ζ13−ζ25−ζ47ζ25+ζ4700000000
χ452-22i−2i0-120−i3i31-2i2−i2−22−ii2i−2i3−3−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14-10−i3i31−ii03−3−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ29−ζ43−ζ29+ζ43ζ31−ζ41−ζ31+ζ41−ζ11+ζ13ζ11−ζ13−ζ25+ζ47ζ25−ζ47ζ31+ζ41−ζ31−ζ41ζ29+ζ43−ζ29−ζ43ζ25+ζ47−ζ25−ζ47ζ11+ζ13−ζ11−ζ1300000000
χ462-22i−2i0-120−i3i31-2i2−i2−22−ii2i−2i3−3−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14-10−i3i31−ii03−3−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ29+ζ43ζ29−ζ43−ζ31+ζ41ζ31−ζ41ζ11−ζ13−ζ11+ζ13ζ25−ζ47−ζ25+ζ47−ζ31−ζ41ζ31+ζ41−ζ29−ζ43ζ29+ζ43−ζ25−ζ47ζ25+ζ47−ζ11−ζ13ζ11+ζ1300000000
χ472-22i−2i0-120i3−i31-2−i2i22−2−ii2i−2i−33ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46-10i3−i31−ii0−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−ζ47−ζ25+ζ47−ζ11+ζ13ζ11−ζ13−ζ31+ζ41ζ31−ζ41ζ29−ζ43−ζ29+ζ43−ζ11−ζ13ζ11+ζ13ζ25+ζ47−ζ25−ζ47−ζ29−ζ43ζ29+ζ43ζ31+ζ41−ζ31−ζ4100000000
χ482-22i−2i0-120i3−i31-2−i2i22−2−ii2i−2i−33ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46-10i3−i31−ii0−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ47ζ25−ζ47ζ11−ζ13−ζ11+ζ13ζ31−ζ41−ζ31+ζ41−ζ29+ζ43ζ29−ζ43ζ11+ζ13−ζ11−ζ13−ζ25−ζ47ζ25+ζ47ζ29+ζ43−ζ29−ζ43−ζ31−ζ41ζ31+ζ4100000000
χ492-22i−2i0-120i3−i31-2i2−i2−22−ii2i−2i−33−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46-10i3−i31−ii0−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13ζ11−ζ13−ζ25+ζ47ζ25−ζ47ζ29−ζ43−ζ29+ζ43ζ31−ζ41−ζ31+ζ41ζ25+ζ47−ζ25−ζ47ζ11+ζ13−ζ11−ζ13ζ31+ζ41−ζ31−ζ41ζ29+ζ43−ζ29−ζ4300000000
χ502-22i−2i0-120i3−i31-2i2−i2−22−ii2i−2i−33−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46-10i3−i31−ii0−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ11+ζ13ζ25−ζ47−ζ25+ζ47−ζ29+ζ43ζ29−ζ43−ζ31+ζ41ζ31−ζ41−ζ25−ζ47ζ25+ζ47−ζ11−ζ13ζ11+ζ13−ζ31−ζ41ζ31+ζ41−ζ29−ζ43ζ29+ζ4300000000
χ512-2−2i2i022000-2-2−i2i2−22−2i2i−2i2i00−i2i2−i2i2−22−222000-2−2i2i000−22−22−22−i2i2−i2i2−i2i2ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ4300000000
χ522-2−2i2i022000-2-2−i2i2−22−2i2i−2i2i00−i2i2−i2i2−22−222000-2−2i2i000−22−22−22−i2i2−i2i2−i2i2−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ4300000000
χ532-2−2i2i022000-2-2i2−i22−2−2i2i−2i2i00i2−i2i2−i22−22−22000-2−2i2i0002−22−22−2i2−i2i2−i2i2−i2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ4700000000
χ542-2−2i2i022000-2-2i2−i22−2−2i2i−2i2i00i2−i2i2−i22−22−22000-2−2i2i0002−22−22−2i2−i2i2−i2i2−i2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ4700000000
χ552-2−2i2i0-120−i3i31-2−i2i2−22i−i−2i2i−33ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46-10−i3i31i−i0−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11+ζ13ζ11−ζ13−ζ25+ζ47ζ25−ζ47ζ29−ζ43−ζ29+ζ43ζ31−ζ41−ζ31+ζ41−ζ25−ζ47ζ25+ζ47−ζ11−ζ13ζ11+ζ13−ζ31−ζ41ζ31+ζ41−ζ29−ζ43ζ29+ζ4300000000
χ562-2−2i2i0-120−i3i31-2−i2i2−22i−i−2i2i−33ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46-10−i3i31i−i0−33−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ14−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11−ζ13−ζ11+ζ13ζ25−ζ47−ζ25+ζ47−ζ29+ζ43ζ29−ζ43−ζ31+ζ41ζ31−ζ41ζ25+ζ47−ζ25−ζ47ζ11+ζ13−ζ11−ζ13ζ31+ζ41−ζ31−ζ41ζ29+ζ43−ζ29−ζ4300000000
χ572-2−2i2i0-120−i3i31-2i2−i22−2i−i−2i2i−33−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46-10−i3i31i−i0−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ25−ζ47−ζ25+ζ47−ζ11+ζ13ζ11−ζ13−ζ31+ζ41ζ31−ζ41ζ29−ζ43−ζ29+ζ43ζ11+ζ13−ζ11−ζ13−ζ25−ζ47ζ25+ζ47ζ29+ζ43−ζ29−ζ43−ζ31−ζ41ζ31+ζ4100000000
χ582-2−2i2i0-120−i3i31-2i2−i22−2i−i−2i2i−33−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46-10−i3i31i−i0−332−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ14ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ25+ζ47ζ25−ζ47ζ11−ζ13−ζ11+ζ13ζ31−ζ41−ζ31+ζ41−ζ29+ζ43ζ29−ζ43−ζ11−ζ13ζ11+ζ13ζ25+ζ47−ζ25−ζ47−ζ29−ζ43ζ29+ζ43ζ31+ζ41−ζ31−ζ4100000000
χ592-2−2i2i0-120i3−i31-2−i2i2−22i−i−2i2i3−3ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14-10i3−i31i−i03−3−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43ζ29−ζ43−ζ29+ζ43ζ31−ζ41−ζ31+ζ41−ζ11+ζ13ζ11−ζ13−ζ25+ζ47ζ25−ζ47−ζ31−ζ41ζ31+ζ41−ζ29−ζ43ζ29+ζ43−ζ25−ζ47ζ25+ζ47−ζ11−ζ13ζ11+ζ1300000000
χ602-2−2i2i0-120i3−i31-2−i2i2−22i−i−2i2i3−3ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14-10i3−i31i−i03−3−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ46−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43−ζ29+ζ43ζ29−ζ43−ζ31+ζ41ζ31−ζ41ζ11−ζ13−ζ11+ζ13ζ25−ζ47−ζ25+ζ47ζ31+ζ41−ζ31−ζ41ζ29+ζ43−ζ29−ζ43ζ25+ζ47−ζ25−ζ47ζ11+ζ13−ζ11−ζ1300000000
χ612-2−2i2i0-120i3−i31-2i2−i22−2i−i−2i2i3−3−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14-10i3−i31i−i03−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ31+ζ41ζ31−ζ41ζ29−ζ43−ζ29+ζ43ζ25−ζ47−ζ25+ζ47−ζ11+ζ13ζ11−ζ13ζ29+ζ43−ζ29−ζ43−ζ31−ζ41ζ31+ζ41ζ11+ζ13−ζ11−ζ13−ζ25−ζ47ζ25+ζ4700000000
χ622-2−2i2i0-120i3−i31-2i2−i22−2i−i−2i2i3−3−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14-10i3−i31i−i03−32−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ46ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ31−ζ41−ζ31+ζ41−ζ29+ζ43ζ29−ζ43−ζ25+ζ47ζ25−ζ47ζ11−ζ13−ζ11+ζ13−ζ29−ζ43ζ29+ζ43ζ31+ζ41−ζ31−ζ41−ζ11−ζ13ζ11+ζ13ζ25+ζ47−ζ25−ζ4700000000
χ6344444-2-24-2-2-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-21-211111-211-2-21111-2-2111100000000000000000000000000000000
χ6444444-2-24-2-2-2-2-4-4-4-4-2-2-2-2-2-2222222221-211111-21122-1-1-1-122-1-1-1-100000000000000000000000000000000
χ654444-44-2-4-4-44-2000044-2-2-4-400000000-2222-2-2-222200000000000000000000000000000000000000000000
χ664444-4-2-2-422-2-20000-2-2-2-2222323−23−232323−23−2312-1-11112-1-100−3−33300−3−33300000000000000000000000000000000
χ674444-4-2-2-422-2-20000-2-2-2-222−23−232323−23−23232312-1-11112-1-10033−3−30033−3−300000000000000000000000000000000
χ6844-4-444-2-4444-20000-4-422-4-400000000-2-2-2-2-22222200000000000000000000000000000000000000000000
χ6944-4-44-2-2-4-2-2-2-200002222222323−23−23−23−2323231-2111-1-12-1-10033−3−300−3−33300000000000000000000000000000000
χ7044-4-44-2-2-4-2-2-2-20000222222−23−2323232323−23−231-2111-1-12-1-100−3−3330033−3−300000000000000000000000000000000
χ7144-4-4-4-2-2422-2-244-4-42222-2-2-2-2-2-2222212-1-11-1-1-21122-1-1-1-1-2-2111100000000000000000000000000000000
χ7244-4-4-4-2-2422-2-2-4-4442222-2-22222-2-2-2-212-1-11-1-1-211-2-2111122-1-1-1-100000000000000000000000000000000
χ734-44i−4i04-2000-42−2i22i222−224i−4i−2i2i00−2i22i2−2i22i222−2222−22-20002−2i2i000−22−22−22i2−i2i2−i2i2−i200000000000000000000000000000000
χ744-44i−4i04-2000-422i2−2i2−22224i−4i−2i2i002i2−2i22i2−2i2−2222−2222-20002−2i2i0002−22−22−2−i2i2−i2i2−i2i200000000000000000000000000000000
χ754-44i−4i0-2-20−2i32i322−2i22i222−22−2i2i−2i2i23−232ζ10+2ζ14−2ζ10−2ζ142ζ26+2ζ46−2ζ26−2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ1410i3−i3-1i−i0−33−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ4600000000000000000000000000000000
χ764-44i−4i0-2-20−2i32i3222i2−2i2−2222−2i2i−2i2i23−23−2ζ10−2ζ142ζ10+2ζ14−2ζ26−2ζ462ζ26+2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ1410i3−i3-1i−i0−332−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ4600000000000000000000000000000000
χ774-44i−4i0-2-202i3−2i322−2i22i222−22−2i2i−2i2i−23232ζ26+2ζ46−2ζ26−2ζ462ζ10+2ζ14−2ζ10−2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ4610−i3i3-1i−i03−3−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ1400000000000000000000000000000000
χ784-44i−4i0-2-202i3−2i3222i2−2i2−2222−2i2i−2i2i−2323−2ζ26−2ζ462ζ26+2ζ46−2ζ10−2ζ142ζ10+2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ4610−i3i3-1i−i03−32−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ1400000000000000000000000000000000
χ794-4−4i4i04-2000-42−2i22i2−2222−4i4i2i−2i00−2i22i2−2i22i2−2222−2222-200022i−2i0002−22−22−2i2−i2i2−i2i2−i200000000000000000000000000000000
χ804-4−4i4i04-2000-422i2−2i222−22−4i4i2i−2i002i2−2i22i2−2i222−2222−22-200022i−2i000−22−22−22−i2i2−i2i2−i2i200000000000000000000000000000000
χ814-4−4i4i0-2-20−2i32i322−2i22i2−22222i−2i2i−2i−23232ζ26+2ζ46−2ζ26−2ζ462ζ10+2ζ14−2ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ4610i3−i3-1−ii03−32−2ζ10−ζ14−ζ10+ζ14ζ26−ζ46−ζ26+ζ46i2−i2−ζ26−ζ46ζ26+ζ46−ζ10−ζ14ζ10+ζ1400000000000000000000000000000000
χ824-4−4i4i0-2-20−2i32i3222i2−2i222−222i−2i2i−2i−2323−2ζ26−2ζ462ζ26+2ζ46−2ζ10−2ζ142ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ4610i3−i3-1−ii03−3−22−ζ10+ζ14ζ10−ζ14−ζ26+ζ46ζ26−ζ46−i2i2ζ26+ζ46−ζ26−ζ46ζ10+ζ14−ζ10−ζ1400000000000000000000000000000000
χ834-4−4i4i0-2-202i3−2i322−2i22i2−22222i−2i2i−2i23−232ζ10+2ζ14−2ζ10−2ζ142ζ26+2ζ46−2ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ1410−i3i3-1−ii0−332−2ζ26−ζ46−ζ26+ζ46ζ10−ζ14−ζ10+ζ14i2−i2−ζ10−ζ14ζ10+ζ14−ζ26−ζ46ζ26+ζ4600000000000000000000000000000000
χ844-4−4i4i0-2-202i3−2i3222i2−2i222−222i−2i2i−2i23−23−2ζ10−2ζ142ζ10+2ζ14−2ζ26−2ζ462ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ1410−i3i3-1−ii0−33−22−ζ26+ζ46ζ26−ζ46−ζ10+ζ14ζ10−ζ14−i2i2ζ10+ζ14−ζ10−ζ14ζ26+ζ46−ζ26−ζ4600000000000000000000000000000000

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