Finite Group Databasebeta

← Group #11772521

Character table — Group #11772521

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order12442488883366661212121212122424242424242424612242424241616161616161616484848484848484848484848484848482244888888242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111
χ5111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-111-1-11111-1-1ii−i−i
χ6111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1iiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-11111-1-111−i−iii
χ7111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-111-1-11111-1-1−i−iii
χ8111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-11111-1-111ii−i−i
χ911-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-11i−ii−i1-1i−ii−i1-11-1
χ1011-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-11−ii−ii1-1−ii−ii-11-11
χ1111-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1-11i−ii−i1-1i−ii−i-11-11
χ1211-1-1-1111-1-111-1-111-1-111-1-11111-1-1-1-1-1111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1-11−ii−ii1-1−ii−ii1-11-1
χ1311-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1i−i−ii1-1i−i−ii−iii−i
χ1411-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-111-1−iii−i1-1−iii−ii−i−ii
χ1511-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1i−i−ii1-1i−i−iii−i−ii
χ1611-1-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111-11-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1-111-1−iii−i1-1−iii−i−iii−i
χ17222222222222222222222222222222222222000000000000000000000000-2-2-2-20000-2-200000000
χ18222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000022220000-2-200000000
χ192222-2-2000022-2-22222-2-22200000000-2-200002−22−22−22−222−2−222−2−222−2−222−2−2-22-2200000000000000
χ202222-2-2000022-2-22222-2-22200000000-2-20000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-22-200000000000000
χ212222-2-2000022-2-22222-2-22200000000-2-20000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-22-200000000000000
χ222222-2-2000022-2-22222-2-22200000000-2-20000−22−22−22−22−2−222−2−222−2−222−2−222-22-2200000000000000
χ2322-2-22-20000222222-2-2-2-2-2-2000000002-200002−2−22−222−222−2−2−2−222−2−22222−2−222-2-200000000000000
χ2422-2-22-20000222222-2-2-2-2-2-2000000002-20000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2-2-22200000000000000
χ2522-2-22-20000222222-2-2-2-2-2-2000000002-20000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2-2-22200000000000000
χ2622-2-22-20000222222-2-2-2-2-2-2000000002-20000−222−22−2−22−2−22222−2−222−2−2−2−22222-2-200000000000000
χ2722-2-2-2222-2-222-2-222-2-222-2-22222-2-2-2-2-2222-2-2000000000000000000000000-222-20000-2200000000
χ2822-2-2-22-2-22222-2-222-2-222-2-2-2-2-2-22222-22-2-2220000000000000000000000002-2-220000-2200000000
χ2944444444441-2111-21111-2-211111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-2111-21111-2-211111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-2-2-21-2-2-2-211-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-2-2-21-2-2-2-211-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-2111-21111-2-2-1-1-1-1-1-1-1-1-2-222222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ34444444-4-4-4-41-2111-21111-2-2-1-1-1-1-1-1-1-1-2-22222−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ35444444-4-4-4-4-21-2-2-21-2-2-2-2112222222211-1-1-1-1000000000000000000000000000022-2-200-1-1110000
χ36444444-4-4-4-4-21-2-2-21-2-2-2-2112222222211-1-1-1-10000000000000000000000000000-2-2220011-1-10000
χ374444-4-400001-2-1-11-211-1-1-2-23i3i−3i−3i3i3i−3i−3i2200002ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000000000000
χ384444-4-400001-2-1-11-211-1-1-2-23i3i−3i−3i3i3i−3i−3i220000−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000000000000
χ394444-4-400001-2-1-11-211-1-1-2-2−3i−3i3i3i−3i−3i3i3i220000−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000000000000
χ404444-4-400001-2-1-11-211-1-1-2-2−3i−3i3i3i−3i−3i3i3i2200002ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000000000000
χ4144-4-44-400001-2111-2-1-1-1-1223i3i−3i−3i−3i−3i3i3i-220000−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000000000000
χ4244-4-44-400001-2111-2-1-1-1-1223i3i−3i−3i−3i−3i3i3i-2200002ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000000000000
χ4344-4-44-400001-2111-2-1-1-1-122−3i−3i3i3i3i3i−3i−3i-2200002ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000000000000
χ4444-4-44-400001-2111-2-1-1-1-122−3i−3i3i3i3i3i−3i−3i-220000−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000000000000
χ4544-4-4-4444-4-41-2-1-11-2-1-111221111-1-1-1-12-2-2-2222i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000
χ4644-4-4-4444-4-41-2-1-11-2-1-111221111-1-1-1-12-2-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000
χ4744-4-4-4444-4-4-2122-2122-2-2-1-1-2-2-2-22222-1111-1-100000000000000000000000000002i−2i2i−2i00−ii−ii0000
χ4844-4-4-4444-4-4-2122-2122-2-2-1-1-2-2-2-22222-1111-1-10000000000000000000000000000−2i2i−2i2i00i−ii−i0000
χ4944-4-4-44-4-4441-2-1-11-2-1-11122-1-1-1-111112-222-2-222-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000
χ5044-4-4-44-4-4441-2-1-11-2-1-11122-1-1-1-111112-222-2-2-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000
χ5144-4-4-44-4-444-2122-2122-2-2-1-12222-2-2-2-2-11-1-11100000000000000000000000000002i−2i−2i2i00−iii−i0000
χ5244-4-4-44-4-444-2122-2122-2-2-1-12222-2-2-2-2-11-1-1110000000000000000000000000000−2i2i2i−2i00i−i−ii0000
χ534-44i−4i0022−22−2i22i21-23-3-12i−i3i−3i2i−2i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46002−2−i2i200000000ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000000000000000
χ544-44i−4i0022−22−2i22i21-23-3-12i−i3i−3i2i−2i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46002−2−i2i200000000−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000000000000000
χ554-44i−4i0022−22−2i22i21-2-33-12i−i−3i3i2i−2i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46002−2−i2i200000000−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29000000000000000000
χ564-44i−4i0022−22−2i22i21-2-33-12i−i−3i3i2i−2i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46002−2−i2i200000000ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29000000000000000000
χ574-44i−4i0022−22−2i22i24400-4-44i−4i00−4i4i−222222−22−2i22i22i2−2i200−22222i2−2i2000000000000000000000000000000000000000000
χ584-44i−4i00−22222i2−2i21-23-3-12i−i3i−3i2i−2iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ4600−22i2−i200000000−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000000000000000
χ594-44i−4i00−22222i2−2i21-23-3-12i−i3i−3i2i−2iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ4600−22i2−i200000000ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000000000000000
χ604-44i−4i00−22222i2−2i21-2-33-12i−i−3i3i2i−2i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ4600−22i2−i200000000−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41000000000000000000
χ614-44i−4i00−22222i2−2i21-2-33-12i−i−3i3i2i−2i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ4600−22i2−i200000000ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41000000000000000000
χ624-44i−4i00−22222i2−2i24400-4-44i−4i00−4i4i22−22−22222i2−2i2−2i22i20022−22−2i22i2000000000000000000000000000000000000000000
χ634-4−4i4i0022−222i2−2i21-23-3-12−ii−3i3i−2i2i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46002−2i2−i200000000−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41000000000000000000
χ644-4−4i4i0022−222i2−2i21-23-3-12−ii−3i3i−2i2i2ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46002−2i2−i200000000ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41000000000000000000
χ654-4−4i4i0022−222i2−2i21-2-33-12−ii3i−3i−2i2i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46002−2i2−i200000000−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000000000000000
χ664-4−4i4i0022−222i2−2i21-2-33-12−ii3i−3i−2i2i−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46002−2i2−i200000000ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000000000000000
χ674-4−4i4i0022−222i2−2i24400-4-4−4i4i004i−4i−222222−222i2−2i2−2i22i200−2222−2i22i2000000000000000000000000000000000000000000
χ684-4−4i4i00−2222−2i22i21-23-3-12−ii−3i3i−2i2i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ4600−22−i2i200000000−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29000000000000000000
χ694-4−4i4i00−2222−2i22i21-23-3-12−ii−3i3i−2i2i−2ζ10−ζ14−2ζ26−ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46ζ10+2ζ14+ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ4600−22−i2i200000000ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29000000000000000000
χ704-4−4i4i00−2222−2i22i21-2-33-12−ii3i−3i−2i2iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ4600−22−i2i200000000ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000000000000000
χ714-4−4i4i00−2222−2i22i21-2-33-12−ii3i−3i−2i2iζ10+2ζ14+ζ26+2ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−2ζ10−ζ14−2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ4600−22−i2i200000000−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000000000000000
χ724-4−4i4i00−2222−2i22i24400-4-4−4i4i004i−4i22−22−2222−2i22i22i2−2i20022−222i2−2i2000000000000000000000000000000000000000000
χ738888-8-80000-4244-42-4-4442200000000-2-20000000000000000000000000000000000000000000000
χ7488-8-88-80000-42-4-4-424444-2-2000000002-20000000000000000000000000000000000000000000000
χ758-88i−8i0042−42−4i24i2-42004-2−4i4i00−2i2i22−22−22222i2−2i2−2i22i200−22i2−i2000000000000000000000000000000000000000000
χ768-88i−8i00−42424i2−4i2-42004-2−4i4i00−2i2i−222222−22−2i22i22i2−2i2002−2−i2i2000000000000000000000000000000000000000000
χ778-8−8i8i0042−424i2−4i2-42004-24i−4i002i−2i22−22−2222−2i22i22i2−2i200−22−i2i2000000000000000000000000000000000000000000
χ788-8−8i8i00−4242−4i24i2-42004-24i−4i002i−2i−222222−222i2−2i2−2i22i2002−2i2−i2000000000000000000000000000000000000000000

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