Finite Group Databasebeta

← Group #11771633

Character table — Group #11771633

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181818182424242436364848484872727272
order1222448888336666661212121224242424242424241212242424241616161616161616484848484848484848484848484848484444444488121212128888
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-1-1-1-111-1-111-1-111ii−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-1-1-1-1-1-1111111-1-1−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-1-1-1-111-1-111-1-111−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-1-1-1-1-1-1111111-1-1ii−i−i
χ91-11-1-11ii−i−i11-1-1-11-1111-1-1ii−i−iii−i−i1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26i−ii−i1-1i−i1-1i−i1-1ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ101-11-1-11ii−i−i11-1-1-11-1111-1-1ii−i−iii−i−i1-1ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26i−ii−i-11−ii1-1−ii-11−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ111-11-1-11ii−i−i11-1-1-11-1111-1-1ii−i−iii−i−i1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26i−ii−i1-1i−i1-1i−i1-1−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ121-11-1-11ii−i−i11-1-1-11-1111-1-1ii−i−iii−i−i1-1ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26i−ii−i-11−ii1-1−ii-11ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ131-11-1-11−i−iii11-1-1-11-1111-1-1−i−iii−i−iii1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ii−ii1-1−ii1-1−ii1-1−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ141-11-1-11−i−iii11-1-1-11-1111-1-1−i−iii−i−iii1-1−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ii−ii-11i−i1-1i−i-11ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ151-11-1-11−i−iii11-1-1-11-1111-1-1−i−iii−i−iii1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ii−ii1-1−ii1-1−ii1-1ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ161-11-1-11−i−iii11-1-1-11-1111-1-1−i−iii−i−iii1-1−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ii−ii-11i−i1-1i−i-11−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
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
χ192222-2-2000022222222-2-2-2-200000000-2-200002−22−22−22−222−2−222−2−222−2−222−2−2-2-22200000000000000
χ202222-2-2000022222222-2-2-2-200000000-2-20000−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i222-2-200000000000000
χ212222-2-2000022222222-2-2-2-200000000-2-20000i2−i2i2−i2−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i222-2-200000000000000
χ222222-2-2000022222222-2-2-2-200000000-2-20000−22−22−22−22−2−222−2−222−2−222−2−222-2-22200000000000000
χ232-22-22-2000022-2-2-22-22-2-22200000000-2200001+i−1−i−1−i1+i1−i−1+i−1+i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2i2i2i−2i00000000000000
χ242-22-22-2000022-2-2-22-22-2-22200000000-2200001−i−1+i−1+i1−i1+i−1−i−1−i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2i−2i−2i2i00000000000000
χ252-22-22-2000022-2-2-22-22-2-22200000000-220000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2i−2i−2i2i00000000000000
χ262-22-22-2000022-2-2-22-22-2-22200000000-220000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2i2i2i−2i00000000000000
χ272-22-2-222i2i−2i−2i22-2-2-22-2222-2-22i2i−2i−2i2i2i−2i−2i2-22i2i−2i−2i000000000000000000000000−2i2i−2i2i0000-2200000000
χ282-22-2-22−2i−2i2i2i22-2-2-22-2222-2-2−2i−2i2i2i−2i−2i2i2i2-2−2i−2i2i2i0000000000000000000000002i−2i2i−2i0000-2200000000
χ2944444444441-211-21-2-2111111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ3044444444441-211-21-2-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000000
χ314444444444-21-2-21-211-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000222200-1-1-1-10000
χ324444444444-21-2-21-211-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000-2-2-2-20011110000
χ33444444-4-4-4-41-211-21-2-21111-1-1-1-1-1-1-1-1-2-222222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000000
χ34444444-4-4-4-41-211-21-2-21111-1-1-1-1-1-1-1-1-2-22222−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000000000
χ35444444-4-4-4-4-21-2-21-211-2-2-2-22222222211-1-1-1-1000000000000000000000000000022-2-20011-1-10000
χ36444444-4-4-4-4-21-2-21-211-2-2-2-22222222211-1-1-1-10000000000000000000000000000-2-22200-1-1110000
χ374444-4-400001-211-21-2-2-1-1-1-13i3i−3i−3i−3i−3i3i3i2200002ζ14+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
χ384444-4-400001-211-21-2-2-1-1-1-13i3i−3i−3i−3i−3i3i3i220000−2ζ14−2ζ462ζ14+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
χ394444-4-400001-211-21-2-2-1-1-1-1−3i−3i3i3i3i3i−3i−3i220000−2ζ10−2ζ262ζ10+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
χ404444-4-400001-211-21-2-2-1-1-1-1−3i−3i3i3i3i3i−3i−3i2200002ζ10+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
χ4144-4-40022−2222−221-21-1-2-1223i−3i3i−3i−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+2ζ46002−22−200000000−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41000000000000000000
χ4244-4-40022−2222−221-21-1-2-1223i−3i3i−3i−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+2ζ46002−22−200000000ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41000000000000000000
χ4344-4-40022−2222−221-21-1-2-122−3i3i−3i3i2ζ10+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−ζ46002−22−200000000ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47000000000000000000
χ4444-4-40022−2222−221-21-1-2-122−3i3i−3i3i2ζ10+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−ζ46002−22−200000000−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47000000000000000000
χ4544-4-40022−2222−22444-44-4-4-40000−222222−2222−22−222200−2222−2222000000000000000000000000000000000000000000
χ4644-4-400−2222−22221-21-1-2-1223i−3i3i−3iζ10+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−ζ26−2ζ4600−22−2200000000−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29000000000000000000
χ4744-4-400−2222−22221-21-1-2-1223i−3i3i−3iζ10+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−ζ26−2ζ4600−22−2200000000ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29000000000000000000
χ4844-4-400−2222−22221-21-1-2-122−3i3i−3i3i−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+ζ4600−22−2200000000−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43000000000000000000
χ4944-4-400−2222−22221-21-1-2-122−3i3i−3i3i−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+ζ4600−22−2200000000ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43000000000000000000
χ5044-4-400−2222−2222444-44-4-4-4000022−22−2222−222222−220022−2222−22000000000000000000000000000000000000000000
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χ524-44-44-400001-2-1-1212-2-1-1113333-3-3-3-32-20000-222-2-222-211-1-1-1-11111-1-1-1-111000000000000000000
χ534-44-44-400001-2-1-1212-2-1-111-3-3-3-333332-200002i−2i−2i2i−2i2i2i−2i−i−iiiii−i−iii−i−i−i−iii000000000000000000
χ544-44-44-400001-2-1-1212-2-1-111-3-3-3-333332-20000−2i2i2i−2i2i−2i−2i2iii−i−i−i−iii−i−iiiii−i−i000000000000000000
χ554-44-4-444i4i−4i−4i1-2-1-1212-211-1-1ii−i−iii−i−i-22−2i−2i2i2i2ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26000000000000000000
χ564-44-4-444i4i−4i−4i1-2-1-1212-211-1-1ii−i−iii−i−i-22−2i−2i2i2i−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26000000000000000000
χ574-44-4-444i4i−4i−4i-2122-1-2-11-2-222−2i−2i2i2i−2i−2i2i2i1-1ii−i−i00000000000000000000000000002-22i−2i00−ii-110000
χ584-44-4-444i4i−4i−4i-2122-1-2-11-2-222−2i−2i2i2i−2i−2i2i2i1-1ii−i−i0000000000000000000000000000-22−2i2i00i−i1-10000
χ594-44-4-44−4i−4i4i4i1-2-1-1212-211-1-1−i−iii−i−iii-222i2i−2i−2i−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46000000000000000000
χ604-44-4-44−4i−4i4i4i1-2-1-1212-211-1-1−i−iii−i−iii-222i2i−2i−2i2ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46−ζ14−ζ46000000000000000000
χ614-44-4-44−4i−4i4i4i-2122-1-2-11-2-2222i2i−2i−2i2i2i−2i−2i1-1−i−iii00000000000000000000000000002-2−2i2i00i−i-110000
χ624-44-4-44−4i−4i4i4i-2122-1-2-11-2-2222i2i−2i−2i2i2i−2i−2i1-1−i−iii0000000000000000000000000000-222i−2i00−ii1-10000
χ634-4-4400−2i22i22i2−2i21-2-112-1-223i−3i−3i3i2ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ4600−i2i2i2−i200000000ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47000000000000000000
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χ654-4-4400−2i22i22i2−2i21-2-112-1-22−3i3i3i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ4600−i2i2i2−i200000000−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29000000000000000000
χ664-4-4400−2i22i22i2−2i21-2-112-1-22−3i3i3i−3i−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ4600−i2i2i2−i200000000ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29000000000000000000
χ674-4-4400−2i22i22i2−2i244-44-4-44-400002i2−2i22i2−2i2−2i22i2−2i22i2002i2−2i2−2i22i2000000000000000000000000000000000000000000
χ684-4-44002i2−2i2−2i22i21-2-112-1-223i−3i−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ4600i2−i2−i2i200000000−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43000000000000000000
χ694-4-44002i2−2i2−2i22i21-2-112-1-223i−3i−3i3i−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ46ζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ4600i2−i2−i2i200000000ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43000000000000000000
χ704-4-44002i2−2i2−2i22i21-2-112-1-22−3i3i3i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ4600i2−i2−i2i200000000−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41000000000000000000
χ714-4-44002i2−2i2−2i22i21-2-112-1-22−3i3i3i−3iζ10−2ζ14+ζ26−2ζ46−ζ10+2ζ14−ζ26+2ζ46−2ζ10+ζ14−2ζ26+ζ462ζ10−ζ14+2ζ26−ζ462ζ10−ζ14+2ζ26−ζ46−2ζ10+ζ14−2ζ26+ζ46−ζ10+2ζ14−ζ26+2ζ46ζ10−2ζ14+ζ26−2ζ4600i2−i2−i2i200000000ζ11−ζ43−ζ11+ζ43−ζ31+ζ47ζ31−ζ47−ζ11+ζ43ζ11−ζ43ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29−ζ25+ζ41ζ25−ζ41ζ13−ζ29−ζ13+ζ29ζ25−ζ41−ζ25+ζ41000000000000000000
χ724-4-44002i2−2i2−2i22i244-44-4-44-40000−2i22i2−2i22i22i2−2i22i2−2i200−2i22i22i2−2i2000000000000000000000000000000000000000000
χ738888-8-80000-42-4-42-422444400000000-2-20000000000000000000000000000000000000000000000
χ7488-8-80042−4242−42-42-4424-2-2000022−22−2222−222222−2200−22−22000000000000000000000000000000000000000000
χ7588-8-800−4242−4242-42-4424-2-20000−222222−2222−22−2222002−22−2000000000000000000000000000000000000000000
χ768-88-88-80000-4244-2-4-2244-4-400000000-220000000000000000000000000000000000000000000000
χ778-8-8800−4i24i24i2−4i2-424-4-242-20000−2i22i2−2i22i22i2−2i22i2−2i200i2−i2−i2i2000000000000000000000000000000000000000000
χ788-8-88004i2−4i2−4i24i2-424-4-242-200002i2−2i22i2−2i2−2i22i2−2i22i200−i2i2i2−i2000000000000000000000000000000000000000000

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