Finite Group Databasebeta

← Group #70921

Character table — Group #70921

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1111111122222222222222222222444444444444666666666666666688888888888824242424
order124488882344444688888812122424242461212121212242424242424161616161616161616161616161616162466881212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ61111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ71111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-111
χ81111-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11-1-1-1-11-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1111111-1-1
χ911-1-1ii−i−i-11ii−i−i11i−i11-1-1-1-1ii−i−i-1ii−i−i1i−i11-1-11111-1-1-1-1iiii−i−i−i−i1-111i−i-1-1ii−i−i1-1i−i
χ1011-1-1ii−i−i-11ii−i−i11i−i11-1-1-1-1ii−i−i-1ii−i−i1i−i11-1-11111-1-1-1-1iiii−i−i−i−i-11-1-1−ii11−i−iii-11−ii
χ1111-1-1ii−i−i-11ii−i−i11i−i11-1-1-1-1ii−i−i-1ii−i−i1i−i11-1-1-1-1-1-11111−i−i−i−iiiii1-111i−i-1-1ii−i−i-11−ii
χ1211-1-1ii−i−i-11ii−i−i11i−i11-1-1-1-1ii−i−i-1ii−i−i1i−i11-1-1-1-1-1-11111−i−i−i−iiiii-11-1-1−ii11−i−iii1-1i−i
χ1311-1-1−i−iii-11−i−iii11−ii11-1-1-1-1−i−iii-1−i−iii1−ii11-1-11111-1-1-1-1−i−i−i−iiiii1-111−ii-1-1−i−iii1-1−ii
χ1411-1-1−i−iii-11−i−iii11−ii11-1-1-1-1−i−iii-1−i−iii1−ii11-1-11111-1-1-1-1−i−i−i−iiiii-11-1-1i−i11ii−i−i-11i−i
χ1511-1-1−i−iii-11−i−iii11−ii11-1-1-1-1−i−iii-1−i−iii1−ii11-1-1-1-1-1-11111iiii−i−i−i−i1-111−ii-1-1−i−iii-11i−i
χ1611-1-1−i−iii-11−i−iii11−ii11-1-1-1-1−i−iii-1−i−iii1−ii11-1-1-1-1-1-11111iiii−i−i−i−i-11-1-1i−i11ii−i−i1-1−ii
χ172222222222-2-2-2-22222-2-2-2-22222222-2-2-2-2222-2-2-2-200000000000000000000000000000000
χ18222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022-1-122-1-1-1-1-1-10000
χ19222222222-122222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-211-2-21111110000
χ20222222222-1-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-11111000000000000000000−i3i300−i3i3−i3i3−i3i30000
χ21222222222-1-2-2-2-22-122-2-2-2-2-1-1-1-1-1-1-11111-1-1-11111000000000000000000i3−i300i3−i3i3−i3i3−i30000
χ2222222222-220000-22-2-20000222222-20000-2-2-2000022−2−222−2−222−2−222−2−20000000000000000
χ2322222222-220000-22-2-20000222222-20000-2-2-20000−2−222−2−222−2−222−2−2220000000000000000
χ242222-2-2-2-222222222-2-2-2-2-2-222-2-2-2-2222222-2-2-2-2-2-200000000000000000000000000000000
χ252222-2-2-2-22-122222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111000000000000000000−i3i300−i3i3i3−i3i3−i30000
χ262222-2-2-2-22-122222-1-2-2-2-2-2-2-1-11111-1-1-1-1-1-1111111000000000000000000i3−i300i3−i3−i3i3−i3i30000
χ272222-2-2-2-22-1-2-2-2-22-1-2-22222-1-11111-11111-111-1-1-1-1000000000000000022-1-1-2-2-1-111110000
χ282222-2-2-2-22-1-2-2-2-22-1-2-22222-1-11111-11111-111-1-1-1-10000000000000000-2-2112211-1-1-1-10000
χ292222-2-2-2-2-220000-2222000022-2-2-2-2-20000-222000022−2−222−2−2−2−222−2−2220000000000000000
χ302222-2-2-2-2-220000-2222000022-2-2-2-2-20000-2220000−2−222−2−22222−2−222−2−20000000000000000
χ3122-2-22i2i−2i−2i220000-22−2i2i0000-2-22i2i−2i−2i20000-2−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ3222-2-22i2i−2i−2i220000-22−2i2i0000-2-22i2i−2i−2i20000-2−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ3322-2-22i2i−2i−2i-22−2i−2i2i2i222i−2i-2-222-2-22i2i−2i−2i-2−2i−2i2i2i22i−2i-2-22200000000000000000000000000000000
χ3422-2-22i2i−2i−2i-2-12i2i−2i−2i2-12i−2i22-2-211−i−iii1−i−iii-1−ii-1-11100000000000000002-2-1-12i−2i11−i−iii0000
χ3522-2-22i2i−2i−2i-2-12i2i−2i−2i2-12i−2i22-2-211−i−iii1−i−iii-1−ii-1-1110000000000000000-2211−2i2i-1-1ii−i−i0000
χ3622-2-22i2i−2i−2i-2-1−2i−2i2i2i2-12i−2i-2-22211−i−iii1ii−i−i-1−ii11-1-1000000000000000000−i3i300i3−i33−3−330000
χ3722-2-22i2i−2i−2i-2-1−2i−2i2i2i2-12i−2i-2-22211−i−iii1ii−i−i-1−ii11-1-1000000000000000000i3−i300−i3i3−333−30000
χ3822-2-2−2i−2i2i2i220000-222i−2i0000-2-2−2i−2i2i2i20000-22i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
χ3922-2-2−2i−2i2i2i220000-222i−2i0000-2-2−2i−2i2i2i20000-22i−2i0000−2−22222−2−2i2i2−i2−i2−i2−i2i2i20000000000000000
χ4022-2-2−2i−2i2i2i-222i2i−2i−2i22−2i2i-2-222-2-2−2i−2i2i2i-22i2i−2i−2i2−2i2i-2-22200000000000000000000000000000000
χ4122-2-2−2i−2i2i2i-2-12i2i−2i−2i2-1−2i2i-2-22211ii−i−i1−i−iii-1i−i11-1-1000000000000000000−i3i300i3−i3−333−30000
χ4222-2-2−2i−2i2i2i-2-12i2i−2i−2i2-1−2i2i-2-22211ii−i−i1−i−iii-1i−i11-1-1000000000000000000i3−i300−i3i33−3−330000
χ4322-2-2−2i−2i2i2i-2-1−2i−2i2i2i2-1−2i2i22-2-211ii−i−i1ii−i−i-1i−i-1-11100000000000000002-2-1-1−2i2i11ii−i−i0000
χ4422-2-2−2i−2i2i2i-2-1−2i−2i2i2i2-1−2i2i22-2-211ii−i−i1ii−i−i-1i−i-1-1110000000000000000-22112i−2i-1-1−i−iii0000
χ452-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26021+i−1−i1−i−1+i0-2002−2−i2i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2601+i−1−i1−i−1+i0002−2−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−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000000000
χ462-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26021+i−1−i1−i−1+i0-2002−2−i2i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2601+i−1−i1−i−1+i0002−2−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−ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000000000
χ472-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2602−1−i1+i−1+i1−i0-200−22i2−i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260−1−i1+i−1+i1−i000−22i2−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−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000000000000000
χ482-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2602−1−i1+i−1+i1−i0-200−22i2−i22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260−1−i1+i−1+i1−i000−22i2−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+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000000000
χ492-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26021+i−1−i1−i−1+i0-200−22i2−i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2601+i−1−i1−i−1+i000−22i2−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+ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ430000000000000000
χ502-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26021+i−1−i1−i−1+i0-200−22i2−i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2601+i−1−i1−i−1+i000−22i2−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−ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ430000000000000000
χ512-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2602−1−i1+i−1+i1−i0-2002−2−i2i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260−1−i1+i−1+i1−i0002−2−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+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ470000000000000000
χ522-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2602−1−i1+i−1+i1−i0-2002−2−i2i22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260−1−i1+i−1+i1−i0002−2−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−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ470000000000000000
χ532-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46021−i−1+i1+i−1−i0-2002−2i2−i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4601−i−1+i1+i−1−i0002−2i2−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−ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000000000
χ542-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46021−i−1+i1+i−1−i0-2002−2i2−i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4601−i−1+i1+i−1−i0002−2i2−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+ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000000000
χ552-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4602−1+i1−i−1−i1+i0-200−22−i2i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460−1+i1−i−1−i1+i000−22−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−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000000000000000
χ562-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4602−1+i1−i−1−i1+i0-200−22−i2i2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460−1+i1−i−1−i1+i000−22−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+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000000000000000
χ572-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46021−i−1+i1+i−1−i0-200−22−i2i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4601−i−1+i1+i−1−i000−22−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−ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ43−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ470000000000000000
χ582-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46021−i−1+i1+i−1−i0-200−22−i2i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4601−i−1+i1+i−1−i000−22−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−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ43ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ470000000000000000
χ592-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4602−1+i1−i−1−i1+i0-2002−2i2−i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460−1+i1−i−1−i1+i0002−2i2−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−ζ11−ζ25−ζ41−ζ43ζ11+ζ25+ζ41+ζ43ζ13+ζ29−ζ31−ζ47−ζ13−ζ29+ζ31+ζ47ζ13+ζ29+ζ31+ζ47−ζ13−ζ29−ζ31−ζ47−ζ11+ζ25+ζ41−ζ43ζ11−ζ25−ζ41+ζ430000000000000000
χ602-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4602−1+i1−i−1−i1+i0-2002−2i2−i2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460−1+i1−i−1−i1+i0002−2i2−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+ζ47ζ11+ζ25+ζ41+ζ43−ζ11−ζ25−ζ41−ζ43−ζ13−ζ29+ζ31+ζ47ζ13+ζ29−ζ31−ζ47−ζ13−ζ29−ζ31−ζ47ζ13+ζ29+ζ31+ζ47ζ11−ζ25−ζ41+ζ43−ζ11+ζ25+ζ41−ζ430000000000000000
χ6144444444-4-20000-4-2-4-40000-2-2-2-2-2-220000222000000000000000000000000000000000000
χ624444-4-4-4-4-4-20000-4-2440000-2-22222200002-2-2000000000000000000000000000000000000
χ6344-4-44i4i−4i−4i4-20000-4-2−4i4i000022−2i−2i2i2i-2000022i−2i000000000000000000000000000000000000
χ6444-4-4−4i−4i4i4i4-20000-4-24i−4i0000222i2i−2i−2i-200002−2i2i000000000000000000000000000000000000
χ654-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-22+2i−2−2i2−2i−2+2i020022−22−2i22i2−2i2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260−1−i1+i−1+i1−i000−22i2−i200000000000000000000000000000000
χ664-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ260-2−2−2i2+2i−2+2i2−2i0200−22222i2−2i2−2i2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2601+i−1−i1−i−1+i0002−2−i2i200000000000000000000000000000000
χ674-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260-22+2i−2−2i2−2i−2+2i0200−22222i2−2i2−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260−1−i1+i−1+i1−i0002−2−i2i200000000000000000000000000000000
χ684-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ260-2−2−2i2+2i−2+2i2−2i020022−22−2i22i2−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2601+i−1−i1−i−1+i000−22i2−i200000000000000000000000000000000
χ694-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-22−2i−2+2i2+2i−2−2i020022−222i2−2i22i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460−1+i1−i−1−i1+i000−22−i2i200000000000000000000000000000000
χ704-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ460-2−2+2i2−2i−2−2i2+2i0200−2222−2i22i22i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4601−i−1+i1+i−1−i0002−2i2−i200000000000000000000000000000000
χ714-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-22−2i−2+2i2+2i−2−2i0200−2222−2i22i22i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460−1+i1−i−1−i1+i0002−2i2−i200000000000000000000000000000000
χ724-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ460-2−2+2i2−2i−2−2i2+2i020022−222i2−2i22i−2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4601−i−1+i1+i−1−i000−22−i2i200000000000000000000000000000000

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