Finite Group Databasebeta

← Group #13180358

Character table — Group #13180358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size11222466889999991616161616181818181818181818181818181818181827272727272727273636363636363636363636484854545454545454545454
order123461244364488883612121228812121616161616161616242424241616161616161616624244848484848484848121222888816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ3111111111111-1-1-1-1111111-1-111iiii−i−i−i−i-1-1-1-1iiii−i−i−i−i1-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ4111111111111-1-1-1-1111111-1-111−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii1-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ51111111111-1-1ii−i−i11111-1i−i-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ2611-1-1ii−i−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ61111111111-1-1ii−i−i11111-1i−i-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ2611-1-1ii−i−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ71111111111-1-1−i−iii11111-1−ii-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ4611-1-1−i−iii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ81111111111-1-1−i−iii11111-1−ii-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ4611-1-1−i−iiiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ9111111-1-1111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ10111111-1-1111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ11111111-1-11111-1-1-1-1111111-1-111iiii−i−i−i−i-1-1-1-1−i−i−i−iiiii1-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ12111111-1-11111-1-1-1-1111111-1-111−i−i−i−iiiii-1-1-1-1iiii−i−i−i−i1-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ13111111-1-111-1-1ii−i−i11111-1i−i-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1-111−i−iii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ14111111-1-111-1-1ii−i−i11111-1i−i-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26-1i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26-1-111−i−iiiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ15111111-1-111-1-1−i−iii11111-1−ii-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1−ii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1-111ii−i−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ16111111-1-111-1-1−i−iii11111-1−ii-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46-1−iiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46-1-111ii−i−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ17111-11-11-11111111111-1-1-1-1-1-1111-11-11-11-1111111111111-1-1-11-11-11-11-11-11-11-11-1-1-1-1-1
χ18111-11-11-11111111111-1-1-1-1-1-111-11-11-11-111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-111-11-11-11-11111
χ19111-11-11-11111-1-1-1-111-1-1-1-11111i−ii−i−ii−ii-1-1-1-1iiii−i−i−i−i-111i−ii−i−ii−ii1-11-1-11-11−i−iii
χ20111-11-11-11111-1-1-1-111-1-1-1-11111−ii−iii−ii−i-1-1-1-1−i−i−i−iiiii-111−ii−iii−ii−i1-11-1-11-11ii−i−i
χ21111-11-11-111-1-1ii−i−i11-1-1-11−ii-1-1ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ261-1-11i−i−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ22111-11-11-111-1-1ii−i−i11-1-1-11−ii-1-1−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ261-1-11i−i−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ23111-11-11-111-1-1−i−iii11-1-1-11i−i-1-1−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461i−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ461-1-11−iii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ24111-11-11-111-1-1−i−iii11-1-1-11i−i-1-1ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461i−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ461-1-11−iii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ25111-11-1-111111111111-1-1-1-1-1-1111-11-11-11-11111-1-1-1-1-1-1-1-1-1-1-11-11-11-11-1-11-11-11-111111
χ26111-11-1-111111111111-1-1-1-1-1-111-11-11-11-11111111111111-1-1-1-11-11-11-11-11-11-11-11-1-1-1-1
χ27111-11-1-111111-1-1-1-111-1-1-1-11111i−ii−i−ii−ii-1-1-1-1−i−i−i−iiiii-111i−ii−i−ii−ii-11-111-11-1ii−i−i
χ28111-11-1-111111-1-1-1-111-1-1-1-11111−ii−iii−ii−i-1-1-1-1iiii−i−i−i−i-111−ii−iii−ii−i-11-111-11-1−i−iii
χ29111-11-1-1111-1-1ii−i−i11-1-1-11−ii-1-1ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ii−i−i−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ261−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26-111-1−iii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ30111-11-1-1111-1-1ii−i−i11-1-1-11−ii-1-1−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ii−i−iζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ261−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26-111-1−iii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ31111-11-1-1111-1-1−i−iii11-1-1-11i−i-1-1−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−i−iiiζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ461i−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46-111-1i−i−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ32111-11-1-1111-1-1−i−iii11-1-1-11i−i-1-1ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−i−iii−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ461i−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46-111-1i−i−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ3322-12-1-10022222222-1-12-1-1222-1-122222222-1-1-1-100000000-1-1-1-1-1-1-1-1-1-1-1000000000000
χ3422-12-1-10022222222-1-12-1-1222-1-1-2-2-2-2-2-2-2-2-1-1-1-100000000-1-1-111111111000000000000
χ3522-12-1-1002222-2-2-2-2-1-12-1-12-2-2-1-12i2i2i2i−2i−2i−2i−2i111100000000-111−i−i−i−iiiii000000000000
χ3622-12-1-1002222-2-2-2-2-1-12-1-12-2-2-1-1−2i−2i−2i−2i2i2i2i2i111100000000-111iiii−i−i−i−i000000000000
χ3722-12-1-10022-2-22i2i−2i−2i-1-12-1-1-22i−2i112ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−i−iii000000001−ii−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26000000000000
χ3822-12-1-10022-2-22i2i−2i−2i-1-12-1-1-22i−2i11−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ462ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−i−iii000000001−iiζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26000000000000
χ3922-12-1-10022-2-2−2i−2i2i2i-1-12-1-1-2−2i2i11−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ262ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ46ii−i−i000000001i−iζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46000000000000
χ4022-12-1-10022-2-2−2i−2i2i2i-1-12-1-1-2−2i2i112ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ26−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46ii−i−i000000001i−i−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46000000000000
χ4122-1-2-110022222222-1-1-211-2-2-2-1-12-22-22-22-2-1-1-1-100000000111-11-11-11-11000000000000
χ4222-1-2-110022222222-1-1-211-2-2-2-1-1-22-22-22-22-1-1-1-1000000001111-11-11-11-1000000000000
χ4322-1-2-11002222-2-2-2-2-1-1-211-222-1-12i−2i2i−2i−2i2i−2i2i1111000000001-1-1−ii−iii−ii−i000000000000
χ4422-1-2-11002222-2-2-2-2-1-1-211-222-1-1−2i2i−2i2i2i−2i2i−2i1111000000001-1-1i−ii−i−ii−ii000000000000
χ4522-1-2-110022-2-22i2i−2i−2i-1-1-2112−2i2i112ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−i−iii00000000-1i−i−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26000000000000
χ4622-1-2-110022-2-22i2i−2i−2i-1-1-2112−2i2i11−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ26−i−iii00000000-1i−iζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26000000000000
χ4722-1-2-110022-2-2−2i−2i2i2i-1-1-21122i−2i11−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46ii−i−i00000000-1−iiζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46000000000000
χ4822-1-2-110022-2-2−2i−2i2i2i-1-1-21122i−2i112ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46ii−i−i00000000-1−ii−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46000000000000
χ492-220-20002-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-20000002i−2i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ31−2ζ472ζ31+2ζ472ζ11+2ζ43−2ζ11−2ζ43−2ζ25−2ζ412ζ25+2ζ41−2ζ13−2ζ292ζ13+2ζ2900000000000000000000000
χ502-220-20002-22i−2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262-20000002i−2i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ31+2ζ47−2ζ31−2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ412ζ13+2ζ29−2ζ13−2ζ2900000000000000000000000
χ512-220-20002-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-20000002i−2i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ11+2ζ43−2ζ11−2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ29−2ζ25−2ζ412ζ25+2ζ4100000000000000000000000
χ522-220-20002-22i−2i−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262-20000002i−2i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ11−2ζ432ζ11+2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ292ζ25+2ζ41−2ζ25−2ζ4100000000000000000000000
χ532-220-20002-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462-2000000−2i2i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ25−2ζ412ζ25+2ζ412ζ13+2ζ29−2ζ13−2ζ29−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ4300000000000000000000000
χ542-220-20002-2−2i2i−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462-2000000−2i2i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ292ζ31+2ζ47−2ζ31−2ζ472ζ11+2ζ43−2ζ11−2ζ4300000000000000000000000
χ552-220-20002-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462-2000000−2i2i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ4700000000000000000000000
χ562-220-20002-2−2i2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462-2000000−2i2i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ412ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ4700000000000000000000000
χ574-4-2020004-44i−4i4ζ14+4ζ46−4ζ14−4ζ46−4ζ10−4ζ264ζ10+4ζ26-22000000−2i2i00000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260000000000000000000000000000000
χ584-4-2020004-44i−4i−4ζ14−4ζ464ζ14+4ζ464ζ10+4ζ26−4ζ10−4ζ26-22000000−2i2i000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ260000000000000000000000000000000
χ594-4-2020004-4−4i4i−4ζ10−4ζ264ζ10+4ζ264ζ14+4ζ46−4ζ14−4ζ46-220000002i−2i000000002ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ460000000000000000000000000000000
χ604-4-2020004-4−4i4i4ζ10+4ζ26−4ζ10−4ζ26−4ζ14−4ζ464ζ14+4ζ46-220000002i−2i00000000−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ460000000000000000000000000000000
χ6188888888-1-1000000-1-1-1-1-1000000000000000000000000000000000000-1-10000000000
χ62888888-8-8-1-1000000-1-1-1-1-1000000000000000000000000000000000000110000000000
χ63888-88-88-8-1-1000000-1-1111000000000000000000000000000000000000-110000000000
χ64888-88-8-88-1-1000000-1-11110000000000000000000000000000000000001-10000000000
χ651616-816-8-800-2-200000011-211000000000000000000000000000000000000000000000000
χ661616-8-16-8800-2-2000000112-1-1000000000000000000000000000000000000000000000000
χ6716-16160-16000-22000000-22000000000000000000000000000000000000000000000000000
χ6816-16-808000-220000001-1033−33000000000000000000000000000000000000000000000000
χ6916-16-808000-220000001-10−3333000000000000000000000000000000000000000000000000

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