Finite Group Databasebeta

← Group #11797851

Character table — Group #11797851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111222222222222223333444444444444444466666666666666666688888888888812121212121212121212121212121616161616161818181818181818242424242424242448487272
order12442334668888121212128888366612121212242424242424242444448816161616161616162424242468812242424242424242412121212242448484848484848482424242424241616161616161616224466121261288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-11-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ5111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-111-1-1
χ6111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-111
χ7111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1
χ911-1-1-111111-1-111-1-1-1-1ii−i−i1-11-111-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−iii−i−i-1i−i1ii−i−i11-1-1ii−i−ii−iiiii−i−i−i−ii−iii−i−i1111-1-1-1-111-1-111-1-11-1i−i
χ1011-1-1-111111-1-111-1-1-1-1ii−i−i1-11-111-1-11111-1-1-1-1ii−i−ii−iiiii−i−i−i−iii−i−i-1−ii1−i−iii11-1-1ii−i−ii−iiiii−i−i−i−i−ii−i−iii1111-1-1-1-1-1-111-1-111-11−ii
χ1111-1-1-111111-1-111-1-1-1-1ii−i−i1-11-111-1-11111-1-1-1-1ii−i−ii−i−i−i−i−iiiiiii−i−i-1i−i1ii−i−i11-1-1ii−i−ii−i−i−i−i−iiiiii−iii−i−i-1-1-1-111111-1-1111-1-1-11−ii
χ1211-1-1-111111-1-111-1-1-1-1ii−i−i1-11-111-1-11111-1-1-1-1ii−i−ii−i−i−i−i−iiiiiii−i−i-1−ii1−i−iii11-1-1ii−i−ii−i−i−i−i−iiiii−ii−i−iii-1-1-1-11111-111-1-1-1111-1i−i
χ1311-1-1-111111-1-111-1-1-1-1−i−iii1-11-111-1-11111-1-1-1-1−i−iii−iiiiii−i−i−i−i−i−iii-1i−i1ii−i−i11-1-1−i−iii−iiiiii−i−i−i−ii−iii−i−i-1-1-1-11111-111-1-1-1111-1−ii
χ1411-1-1-111111-1-111-1-1-1-1−i−iii1-11-111-1-11111-1-1-1-1−i−iii−iiiiii−i−i−i−i−i−iii-1−ii1−i−iii11-1-1−i−iii−iiiiii−i−i−i−i−ii−i−iii-1-1-1-111111-1-1111-1-1-11i−i
χ1511-1-1-111111-1-111-1-1-1-1−i−iii1-11-111-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−iii-1i−i1ii−i−i11-1-1−i−iii−ii−i−i−i−iiiiii−iii−i−i1111-1-1-1-1-1-111-1-111-11i−i
χ1611-1-1-111111-1-111-1-1-1-1−i−iii1-11-111-1-11111-1-1-1-1−i−iii−ii−i−i−i−iiiii−i−iii-1−ii1−i−iii11-1-1−i−iii−ii−i−i−i−iiiii−ii−i−iii1111-1-1-1-111-1-111-1-11-1−ii
χ172222222222-2-2-2-22222222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000000222220020000-2-2-2-2-2-2-2-2220000000000000000000000000000000000
χ182222222222-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-22222-2-200000000-2-2-2-220020000-2-2-2-22222-2-20000000000000000000000000000000000
χ19222222-122-1222222-1-12222-12-1-12-1-1-122-1-1-1-12222222200000000-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000022-1-1-1-1000000002020-1-1-1-10000
χ20222222-122-1222222-1-12222-12-1-12-1-1-122-1-1-1-12222222200000000-1-1-1-1-1-2-2-11111-1-1-1-1-1-1-1-1-1-100000000-2-2111100000000-20-2011110000
χ21222222-122-1222222-1-1-2-2-2-2-12-1-12-1-1-122-1-1-1-122-2-2-2-2-2-2000000001111-122-1-1-1-1-1-1-1-1-11111110000000022-1-1-1-100000000-20-2011110000
χ22222222-122-1222222-1-1-2-2-2-2-12-1-12-1-1-122-1-1-1-122-2-2-2-2-2-2000000001111-1-2-2-11111-1-1-1-111111100000000-2-21111000000002020-1-1-1-10000
χ23222222-122-1-2-2-2-222-1-12222-12-1-12-1-1-1-2-21111-2-2-2-2-2-22200000000-1-1-1-1-100-1−i3i3−i3i311111111-1-10000000000−i3i3−i3i3000000000000−i3i3−i3i30000
χ24222222-122-1-2-2-2-222-1-12222-12-1-12-1-1-1-2-21111-2-2-2-2-2-22200000000-1-1-1-1-100-1i3−i3i3−i311111111-1-10000000000i3−i3i3−i3000000000000i3−i3i3−i30000
χ25222222-122-1-2-2-2-222-1-1-2-2-2-2-12-1-12-1-1-1-2-21111-2-22222-2-2000000001111-100-1−i3i3−i3i31111-1-1-1-1110000000000−i3i3−i3i3000000000000i3−i3i3−i30000
χ26222222-122-1-2-2-2-222-1-1-2-2-2-2-12-1-12-1-1-1-2-21111-2-22222-2-2000000001111-100-1i3−i3i3−i31111-1-1-1-1110000000000i3−i3i3−i3000000000000−i3i3−i3i30000
χ2722222-122-122222-1-1220000-1-1-12-12-1-1-1-12222-1-1000000222222220000-122-12222-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000002020000-1-100
χ2822222-122-122222-1-1220000-1-1-12-12-1-1-1-12222-1-1000000222222220000-1-2-2-1-2-2-2-2-1-1-1-1000000-1-1-1-1-1-1-1-1111111000000000-20-200001100
χ2922222-122-122222-1-1220000-1-1-12-12-1-1-1-12222-1-1000000-2-2-2-2-2-2-2-20000-122-12222-1-1-1-100000011111111-1-1-1-1-1-1000000000-20-200001100
χ3022222-122-122222-1-1220000-1-1-12-12-1-1-1-12222-1-1000000-2-2-2-2-2-2-2-20000-1-2-2-1-2-2-2-2-1-1-1-1000000111111111111110000000002020000-1-100
χ312222-222-2220000222222222-22-2-2-222000000000000-2-222−2−222−2−22222-200-2000000000000-2-222−2−222−2−200000022−2−222−2−2000000000000
χ322222-222-2220000222222222-22-2-2-222000000000000-2-2−2−222−2−2222222-200-2000000000000-2-2−2−222−2−222000000−2−222−2−222000000000000
χ332222-222-22200002222-2-2-2-22-22-2-2-2220000000000002222−2−222−2−2-2-2-2-2-200-20000000000002222−2−222−2−2000000−2−222−2−222000000000000
χ342222-222-22200002222-2-2-2-22-22-2-2-22200000000000022−2−222−2−222-2-2-2-2-200-200000000000022−2−222−2−22200000022−2−222−2−2000000000000
χ3522-2-2222-2220000-2-2-2-22i2i−2i−2i2222-2-2-2-2000000000000−2i2i−i2−i2i2i2i2i2−i2−i22i2i−2i−2i200-2000000000000−2i2i−i2−i2i2i2i2i2−i2−i2000000−2−22222−2−2000000000000
χ3622-2-2222-2220000-2-2-2-22i2i−2i−2i2222-2-2-2-2000000000000−2i2ii2i2−i2−i2−i2−i2i2i22i2i−2i−2i200-2000000000000−2i2ii2i2−i2−i2−i2−i2i2i200000022−2−2−2−222000000000000
χ3722-2-2222-2220000-2-2-2-2−2i−2i2i2i2222-2-2-2-20000000000002i−2i−i2−i2i2i2i2i2−i2−i2−2i−2i2i2i200-20000000000002i−2i−i2−i2i2i2i2i2−i2−i200000022−2−2−2−222000000000000
χ3822-2-2222-2220000-2-2-2-2−2i−2i2i2i2222-2-2-2-20000000000002i−2ii2i2−i2−i2−i2−i2i2i2−2i−2i2i2i200-20000000000002i−2ii2i2−i2−i2−i2−i2i2i2000000−2−22222−2−2000000000000
χ3922-2-2-22222222-2-2-2-2-2-22i2i−2i−2i2-22-222-2-2-2-2-2-22222−2i−2i2i2i2i−2i000000002i2i−2i−2i-20020000-2-222−2i−2i2i2i2i−2i0000000000000000000000000000000000
χ4022-2-2-22222222-2-2-2-2-2-2−2i−2i2i2i2-22-222-2-2-2-2-2-222222i2i−2i−2i−2i2i00000000−2i−2i2i2i-20020000-2-2222i2i−2i−2i−2i2i0000000000000000000000000000000000
χ4122-2-2-22-122-122-2-2-2-2112i2i−2i−2i-1-2-112-111-2-211-1-122−2i−2i2i2i2i−2i00000000−i−iii100-13−3−3311-1-1ii−i−i−ii00000000003−3−33000000000000−i3i3i3−i30000
χ4222-2-2-22-122-122-2-2-2-2112i2i−2i−2i-1-2-112-111-2-211-1-122−2i−2i2i2i2i−2i00000000−i−iii100-1−333−311-1-1ii−i−i−ii0000000000−333−3000000000000i3−i3−i3i30000
χ4322-2-2-22-122-122-2-2-2-211−2i−2i2i2i-1-2-112-111-2-211-1-1222i2i−2i−2i−2i2i00000000ii−i−i100-13−3−3311-1-1−i−iiii−i00000000003−3−33000000000000i3−i3−i3i30000
χ4422-2-2-22-122-122-2-2-2-211−2i−2i2i2i-1-2-112-111-2-211-1-1222i2i−2i−2i−2i2i00000000ii−i−i100-1−333−311-1-1−i−iiii−i0000000000−333−3000000000000−i3i3i3−i30000
χ4522-2-2-22-122-1-2-222-2-2112i2i−2i−2i-1-2-112-11122-1-111-2-22i2i−2i−2i2i−2i00000000−i−iii12i−2i-1−i−iii-1-111−i−iii−ii000000002i−2i−i−iii0000000020-20-1-1110000
χ4622-2-2-22-122-1-2-222-2-2112i2i−2i−2i-1-2-112-11122-1-111-2-22i2i−2i−2i2i−2i00000000−i−iii1−2i2i-1ii−i−i-1-111−i−iii−ii00000000−2i2iii−i−i00000000-202011-1-10000
χ4722-2-2-22-122-1-2-222-2-211−2i−2i2i2i-1-2-112-11122-1-111-2-2−2i−2i2i2i−2i2i00000000ii−i−i12i−2i-1−i−iii-1-111ii−i−ii−i000000002i−2i−i−iii00000000-202011-1-10000
χ4822-2-2-22-122-1-2-222-2-211−2i−2i2i2i-1-2-112-11122-1-111-2-2−2i−2i2i2i−2i2i00000000ii−i−i1−2i2i-1ii−i−i-1-111ii−i−ii−i00000000−2i2iii−i−i0000000020-20-1-1110000
χ4922-2-2-2-122-12-2-22211-2-20000-11-1-2-1211-1-122-2-2110000002i2i2i2i−2i−2i−2i−2i000012i−2i-12i2i−2i−2i-1-111000000−i−i−i−iiiii−ii−i−iii00000000020-20000-1100
χ5022-2-2-2-122-12-2-22211-2-20000-11-1-2-1211-1-122-2-2110000002i2i2i2i−2i−2i−2i−2i00001−2i2i-1−2i−2i2i2i-1-111000000−i−i−i−iiiiii−iii−i−i000000000-20200001-100
χ5122-2-2-2-122-12-2-22211-2-20000-11-1-2-1211-1-122-2-211000000−2i−2i−2i−2i2i2i2i2i000012i−2i-12i2i−2i−2i-1-111000000iiii−i−i−i−i−ii−i−iii000000000-20200001-100
χ5222-2-2-2-122-12-2-22211-2-20000-11-1-2-1211-1-122-2-211000000−2i−2i−2i−2i2i2i2i2i00001−2i2i-1−2i−2i2i2i-1-111000000iiii−i−i−i−ii−iii−i−i00000000020-20000-1100
χ532-22i−2i0220-2-2−i2i22−22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2620-20002i−2i2−22−2−i2i2−i2i21+i−1−i1−i−1+i00ζ11−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−ζ432ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000002−2−i2i21+i−1−i1−i−1+i00ζ11−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−ζ43000000ζ11−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−ζ43000000000000
χ542-22i−2i0220-2-2−i2i22−22i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2620-20002i−2i2−22−2−i2i2−i2i21+i−1−i1−i−1+i00−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+ζ432ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000002−2−i2i21+i−1−i1−i−1+i00−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+ζ43000000−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+ζ43000000000000
χ552-22i−2i0220-2-2−i2i22−22i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2620-20002i−2i2−22−2−i2i2−i2i2−1−i1+i−1+i1−i00ζ11−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−ζ43−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000002−2−i2i2−1−i1+i−1+i1−i00ζ11−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−ζ43000000−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+ζ43000000000000
χ562-22i−2i0220-2-2−i2i22−22i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2620-20002i−2i2−22−2−i2i2−i2i2−1−i1+i−1+i1−i00−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+ζ43−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26000000002−2−i2i2−1−i1+i−1+i1−i00−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+ζ43000000ζ11−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−ζ43000000000000
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χ954-4−4i4i04-20-42−2i22i2−2222−4i4i2i−2i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46-2020002i−2i−22222−2i2−i2−2i22i2−2+2i2−2i−2−2i2+2i00000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46000000002−2i2−i21−i−1+i1+i−1−i000000000000000000000000000000000000
χ964-4−4i4i04-20-42−2i22i2−2222−4i4i2i−2i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-2020002i−2i−22222−2i2−i2−2i22i22−2i−2+2i2+2i−2−2i0000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46000000002−2i2−i2−1+i1−i−1−i1+i000000000000000000000000000000000000
χ974-4−4i4i04-20-422i2−2i222−22−4i4i2i−2i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46-2020002i−2i22−22−22−i2i22i2−2i22−2i−2+2i2+2i−2−2i00000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ4600000000−22−i2i2−1+i1−i−1−i1+i000000000000000000000000000000000000
χ984-4−4i4i04-20-422i2−2i222−22−4i4i2i−2i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-2020002i−2i22−22−22−i2i22i2−2i2−2+2i2−2i−2−2i2+2i0000000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ4600000000−22−i2i21−i−1+i1+i−1−i000000000000000000000000000000000000
χ994-4−4i4i0-2402-4−2i22i2−22222i−2i−4i4i0000-2020002i−2i2−2−2222−2i22i2i2−i20000002ζ11+2ζ25+2ζ41+2ζ43−2ζ11−2ζ25−2ζ41−2ζ432ζ13+2ζ29−2ζ31−2ζ47−2ζ13−2ζ29+2ζ31+2ζ47−2ζ13−2ζ29−2ζ31−2ζ472ζ13+2ζ29+2ζ31+2ζ47−2ζ11+2ζ25+2ζ41−2ζ432ζ11−2ζ25−2ζ41+2ζ430000000000002−2i2−i2000000−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−ζ4300000000000000000000000000
χ1004-4−4i4i0-2402-4−2i22i2−22222i−2i−4i4i0000-2020002i−2i2−2−2222−2i22i2i2−i2000000−2ζ11−2ζ25−2ζ41−2ζ432ζ11+2ζ25+2ζ41+2ζ43−2ζ13−2ζ29+2ζ31+2ζ472ζ13+2ζ29−2ζ31−2ζ472ζ13+2ζ29+2ζ31+2ζ47−2ζ13−2ζ29−2ζ31−2ζ472ζ11−2ζ25−2ζ41+2ζ43−2ζ11+2ζ25+2ζ41−2ζ430000000000002−2i2−i2000000ζ11+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+ζ4300000000000000000000000000
χ1014-4−4i4i0-2402-42i2−2i222−222i−2i−4i4i0000-2020002i−2i−2222−222i2−2i2−i2i2000000−2ζ13−2ζ29+2ζ31+2ζ472ζ13+2ζ29−2ζ31−2ζ472ζ11+2ζ25+2ζ41+2ζ43−2ζ11−2ζ25−2ζ41−2ζ432ζ11−2ζ25−2ζ41+2ζ43−2ζ11+2ζ25+2ζ41−2ζ43−2ζ13−2ζ29−2ζ31−2ζ472ζ13+2ζ29+2ζ31+2ζ47000000000000−22−i2i2000000ζ13+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−ζ4700000000000000000000000000
χ1024-4−4i4i0-2402-42i2−2i222−222i−2i−4i4i0000-2020002i−2i−2222−222i2−2i2−i2i20000002ζ13+2ζ29−2ζ31−2ζ47−2ζ13−2ζ29+2ζ31+2ζ47−2ζ11−2ζ25−2ζ41−2ζ432ζ11+2ζ25+2ζ41+2ζ43−2ζ11+2ζ25+2ζ41−2ζ432ζ11−2ζ25−2ζ41+2ζ432ζ13+2ζ29+2ζ31+2ζ47−2ζ13−2ζ29−2ζ31−2ζ47000000000000−22−i2i2000000−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+ζ4700000000000000000000000000
χ1038888-8-4-4-8-4-40000-4-4-4-400002424442200000000000000000000000000-200-2000000000000000000000000000000000000000000000000
χ10488-8-88-4-4-8-4-40000444400002-42-444-2-200000000000000000000000000200-2000000000000000000000000000000000000000000000000
χ1058-88i−8i0-4-4044−4i24i242−42−4i4i−4i4i000020-20002i−2i−2222−22222i2−2i22i2−2i2000000000000000000000000002−2−i2i20000000000000000000000000000000000000000
χ1068-88i−8i0-4-40444i2−4i2−4242−4i4i−4i4i000020-20002i−2i22−2222−22−2i22i2−2i22i200000000000000000000000000−22i2−i20000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4044−4i24i2−42424i−4i4i−4i000020-2000−2i2i22−2222−222i2−2i22i2−2i200000000000000000000000000−22−i2i20000000000000000000000000000000000000000
χ1088-8−8i8i0-4-40444i2−4i242−424i−4i4i−4i000020-2000−2i2i−2222−2222−2i22i2−2i22i2000000000000000000000000002−2i2−i20000000000000000000000000000000000000000

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