Finite Group Databasebeta

← Group #11772088

Character table — Group #11772088

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size111122222244444444444444444444888888121212121212121212121212121212121212121212121212181836363648484848484872727272
order1222448888336666661212121224242424242424241212242424241616161616161616484848484848484848484848484848484448844121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111
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-1-1-1111-111-1-1ii−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-1-1-111-11-1-111−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-1-1-1111-111-1-1−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-1-1-111-11-1-111ii−i−i
χ9222222222222222222222222222222222222000000000000000000000000-2-2-2-2-20000000000
χ10222222-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000222-2-20000000000
χ112222-2-2000022222222-2-2-2-200000000-2-2000022−2−222−2−22222−2−2−2−22222−2−2−2−222-2000000000000
χ122222-2-2000022222222-2-2-2-200000000-2-20000−i2−i2i2i2i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2-22000000000000
χ132222-2-2000022222222-2-2-2-200000000-2-20000i2i2−i2−i2−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2-22000000000000
χ142222-2-2000022222222-2-2-2-200000000-2-20000−2−222−2−222−2−2−2−22222−2−2−2−2222222-2000000000000
χ1522-2-2002−22−22222-2-2-2-2000022−2−222−2−20022−2−2−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−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43-2202−20000000000
χ1622-2-2002−22−22222-2-2-2-2000022−2−222−2−20022−2−2−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ432-20−220000000000
χ1722-2-2002−22−22222-2-2-2-2000022−2−222−2−20022−2−2ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ432-20−220000000000
χ1822-2-2002−22−22222-2-2-2-2000022−2−222−2−20022−2−2ζ25+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+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43-2202−20000000000
χ1922-2-200−22−222222-2-2-2-20000−2−222−2−22200−2−222ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ472-202−20000000000
χ2022-2-200−22−222222-2-2-2-20000−2−222−2−22200−2−222ζ11+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−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47-220−220000000000
χ2122-2-200−22−222222-2-2-2-20000−2−222−2−22200−2−222−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−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47−ζ11−ζ13−ζ29−ζ43−ζ11−ζ13−ζ29−ζ43ζ11+ζ13+ζ29+ζ43ζ11+ζ13+ζ29+ζ43−ζ25−ζ31−ζ41−ζ47−ζ25−ζ31−ζ41−ζ47ζ25+ζ31+ζ41+ζ47ζ25+ζ31+ζ41+ζ47-220−220000000000
χ2222-2-200−22−222222-2-2-2-20000−2−222−2−22200−2−222−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ47−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ11−ζ13−ζ29+ζ43ζ11−ζ13−ζ29+ζ43−ζ11+ζ13+ζ29−ζ43−ζ11+ζ13+ζ29−ζ43−ζ25+ζ31−ζ41+ζ47−ζ25+ζ31−ζ41+ζ47ζ25−ζ31+ζ41−ζ47ζ25−ζ31+ζ41−ζ472-202−20000000000
χ232-2-222-222-2-222-2-2-2-222-2-2222222-2-2-2-2-222-22-200000000000000000000000000000000000−i2i2−i2i2
χ242-2-222-222-2-222-2-2-2-222-2-2222222-2-2-2-2-222-22-200000000000000000000000000000000000i2−i2i2−i2
χ252-2-222-2-2-22222-2-2-2-222-2-222-2-2-2-22222-22-22-22000000000000000000000000000000000002−2−22
χ262-2-222-2-2-22222-2-2-2-222-2-222-2-2-2-22222-22-22-2200000000000000000000000000000000000−222−2
χ2744444444441-21-21-21-2111111111111-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000
χ2844444444441-21-21-21-2111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111111111111111000000000000000
χ294444444444-21-21-21-21-2-2-2-2-2-2-2-2-2-2-2-21111110000000000000000000000000000022-1-1-1-10000
χ304444444444-21-21-21-21-2-2-2-2-2-2-2-2-2-2-2-211111100000000000000000000000000000-2-211110000
χ31444444-4-4-4-41-21-21-21-21111-1-1-1-1-1-1-1-1-2-222222i2i2i2i−2i−2i−2i−2i−i−i−i−i−i−i−i−iiiiiiiii000000000000000
χ32444444-4-4-4-41-21-21-21-21111-1-1-1-1-1-1-1-1-2-22222−2i−2i−2i−2i2i2i2i2iiiiiiiii−i−i−i−i−i−i−i−i000000000000000
χ33444444-4-4-4-4-21-21-21-21-2-2-2-22222222211-1-1-1-1000000000000000000000000000002-2-1-1110000
χ34444444-4-4-4-4-21-21-21-21-2-2-2-22222222211-1-1-1-100000000000000000000000000000-2211-1-10000
χ354444-4-400001-21-21-21-2-1-1-1-13i−3i3i−3i3i−3i3i−3i2200002ζ14+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−ζ26000000000000000
χ364444-4-400001-21-21-21-2-1-1-1-13i−3i3i−3i3i−3i3i−3i220000−2ζ14−2ζ46−2ζ14−2ζ462ζ14+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+ζ26000000000000000
χ374444-4-400001-21-21-21-2-1-1-1-1−3i3i−3i3i−3i3i−3i3i220000−2ζ10−2ζ26−2ζ10−2ζ262ζ10+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+ζ46000000000000000
χ384444-4-400001-21-21-21-2-1-1-1-1−3i3i−3i3i−3i3i−3i3i2200002ζ10+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−ζ46000000000000000
χ3944-4-40022−2222−221-21-2-12-123i−3i3i−3i−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600−2−222−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43ζ25+ζ41ζ25+ζ41−ζ25−ζ41−ζ25−ζ41−ζ13−ζ29−ζ13−ζ29ζ13+ζ29ζ13+ζ29ζ31+ζ47ζ31+ζ47−ζ31−ζ47−ζ31−ζ47−ζ11−ζ43−ζ11−ζ43ζ11+ζ43ζ11+ζ43000000000000000
χ4044-4-40022−2222−221-21-2-12-123i−3i3i−3i−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ4600−2−2222ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ43−ζ25−ζ41−ζ25−ζ41ζ25+ζ41ζ25+ζ41ζ13+ζ29ζ13+ζ29−ζ13−ζ29−ζ13−ζ29−ζ31−ζ47−ζ31−ζ47ζ31+ζ47ζ31+ζ47ζ11+ζ43ζ11+ζ43−ζ11−ζ43−ζ11−ζ43000000000000000
χ4144-4-40022−2222−221-21-2-12-12−3i3i−3i3iζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600−2−222−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29ζ31+ζ47ζ31+ζ47−ζ31−ζ47−ζ31−ζ47−ζ11−ζ43−ζ11−ζ43ζ11+ζ43ζ11+ζ43ζ25+ζ41ζ25+ζ41−ζ25−ζ41−ζ25−ζ41−ζ13−ζ29−ζ13−ζ29ζ13+ζ29ζ13+ζ29000000000000000
χ4244-4-40022−2222−221-21-2-12-12−3i3i−3i3iζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ4600−2−2222ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29−ζ31−ζ47−ζ31−ζ47ζ31+ζ47ζ31+ζ47ζ11+ζ43ζ11+ζ43−ζ11−ζ43−ζ11−ζ43−ζ25−ζ41−ζ25−ζ41ζ25+ζ41ζ25+ζ41ζ13+ζ29ζ13+ζ29−ζ13−ζ29−ζ13−ζ29000000000000000
χ4344-4-400−2222−22221-21-2-12-123i−3i3i−3i2ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460022−2−2−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47ζ13+ζ29ζ13+ζ29−ζ13−ζ29−ζ13−ζ29ζ25+ζ41ζ25+ζ41−ζ25−ζ41−ζ25−ζ41ζ11+ζ43ζ11+ζ43−ζ11−ζ43−ζ11−ζ43ζ31+ζ47ζ31+ζ47−ζ31−ζ47−ζ31−ζ47000000000000000
χ4444-4-400−2222−22221-21-2-12-123i−3i3i−3i2ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ460022−2−22ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ47−ζ13−ζ29−ζ13−ζ29ζ13+ζ29ζ13+ζ29−ζ25−ζ41−ζ25−ζ41ζ25+ζ41ζ25+ζ41−ζ11−ζ43−ζ11−ζ43ζ11+ζ43ζ11+ζ43−ζ31−ζ47−ζ31−ζ47ζ31+ζ47ζ31+ζ47000000000000000
χ4544-4-400−2222−22221-21-2-12-12−3i3i−3i3i−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460022−2−22ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41−ζ11−ζ43−ζ11−ζ43ζ11+ζ43ζ11+ζ43−ζ31−ζ47−ζ31−ζ47ζ31+ζ47ζ31+ζ47−ζ13−ζ29−ζ13−ζ29ζ13+ζ29ζ13+ζ29−ζ25−ζ41−ζ25−ζ41ζ25+ζ41ζ25+ζ41000000000000000
χ4644-4-400−2222−22221-21-2-12-12−3i3i−3i3i−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ460022−2−2−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41ζ11+ζ43ζ11+ζ43−ζ11−ζ43−ζ11−ζ43ζ31+ζ47ζ31+ζ47−ζ31−ζ47−ζ31−ζ47ζ13+ζ29ζ13+ζ29−ζ13−ζ29−ζ13−ζ29ζ25+ζ41ζ25+ζ41−ζ25−ζ41−ζ25−ζ41000000000000000
χ474-44-40022−22−22221-2-121-2-123i−3i−3i3iζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600−222−200000000−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41000000000000000
χ484-44-40022−22−22221-2-121-2-123i−3i−3i3iζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ4600−222−200000000ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41000000000000000
χ494-44-40022−22−22221-2-121-2-12−3i3i3i−3i−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600−222−200000000ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47000000000000000
χ504-44-40022−22−22221-2-121-2-12−3i3i3i−3i−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ4600−222−200000000−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47000000000000000
χ514-44-40022−22−222244-4-444-4-400002222−22−22−22−2222220022−22−2222000000000000000000000000000000000000000
χ524-44-400−222222−221-2-121-2-123i−3i−3i3i−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46002−2−2200000000−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29000000000000000
χ534-44-400−222222−221-2-121-2-123i−3i−3i3i−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46−ζ10−2ζ14−ζ26−2ζ462ζ10+ζ14+2ζ26+ζ46002−2−2200000000ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29000000000000000
χ544-44-400−222222−221-2-121-2-12−3i3i3i−3i2ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46002−2−2200000000−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ31+ζ47ζ31−ζ47−ζ31+ζ47ζ31−ζ47ζ11−ζ43−ζ11+ζ43ζ11−ζ43−ζ11+ζ43000000000000000
χ554-44-400−222222−221-2-121-2-12−3i3i3i−3i2ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ46−2ζ10−ζ14−2ζ26−ζ46ζ10+2ζ14+ζ26+2ζ462ζ10+ζ14+2ζ26+ζ46−ζ10−2ζ14−ζ26−2ζ46002−2−2200000000ζ25−ζ41−ζ25+ζ41ζ25−ζ41−ζ25+ζ41ζ13−ζ29−ζ13+ζ29ζ13−ζ29−ζ13+ζ29ζ31−ζ47−ζ31+ζ47ζ31−ζ47−ζ31+ζ47−ζ11+ζ43ζ11−ζ43−ζ11+ζ43ζ11−ζ43000000000000000
χ564-44-400−222222−2244-4-444-4-40000−22−2222222222−22−2200−222222−22000000000000000000000000000000000000000
χ574-4-444-444-4-41-2-12-121-2-1-1111111-1-1-1-12-2-22-22000000003−3−33−333−3−333−33−3−33000000000000000
χ584-4-444-444-4-41-2-12-121-2-1-1111111-1-1-1-12-2-22-2200000000−333−33−3−333−3−33−333−3000000000000000
χ594-4-444-444-4-4-212-12-1-2122-2-2-2-2-2-22222-111-11-10000000000000000000000000000000−i3i3−i3i30000
χ604-4-444-444-4-4-212-12-1-2122-2-2-2-2-2-22222-111-11-10000000000000000000000000000000i3−i3i3−i30000
χ614-4-444-4-4-4441-2-12-121-2-1-111-1-1-1-111112-22-22-200000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000
χ624-4-444-4-4-4441-2-12-121-2-1-111-1-1-1-111112-22-22-200000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000
χ634-4-444-4-4-444-212-12-1-2122-2-22222-2-2-2-2-11-11-110000000000000000000000000000000−i3i3i3−i30000
χ644-4-444-4-4-444-212-12-1-2122-2-22222-2-2-2-2-11-11-110000000000000000000000000000000i3−i3−i3i30000
χ654-4-44-4400001-2-12-121-211-1-13i−3i3i−3i−3i3i−3i3i-22000000000000ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46000000000000000
χ664-4-44-4400001-2-12-121-211-1-13i−3i3i−3i−3i3i−3i3i-22000000000000−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46000000000000000
χ674-4-44-4400001-2-12-121-211-1-1−3i3i−3i3i3i−3i3i−3i-22000000000000−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26000000000000000
χ684-4-44-4400001-2-12-121-211-1-1−3i3i−3i3i3i−3i3i−3i-22000000000000ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ14−ζ46−ζ14+ζ46−ζ14+ζ46ζ14−ζ46ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26ζ10−ζ26−ζ10+ζ26−ζ10+ζ26ζ10−ζ26000000000000000
χ694-4-44-44000044-4-4-4-44444-4-4000000004-40000000000000000000000000000000000000000000
χ708888-8-80000-42-42-42-42444400000000-2-20000000000000000000000000000000000000000000
χ7188-8-80042−4242−42-42-424-24-20000−22−222222−22−2222220022−2−2000000000000000000000000000000000000000
χ7288-8-800−4242−4242-42-424-24-200002222−22−222222−22−2200−2−222000000000000000000000000000000000000000
χ738-88-80042−42−4242-424-2-424-20000−22−2222222222−22−22002−2−22000000000000000000000000000000000000000
χ748-88-800−424242−42-424-2-424-200002222−22−22−22−22222200−222−2000000000000000000000000000000000000000
χ758-8-88-880000-424-24-2-42-4-444000000002-20000000000000000000000000000000000000000000

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