Finite Group Databasebeta

← Group #13094723

Character table — Group #13094723

Order 1512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size12666771414212121126667714142121212412121214142828424242241212121414282842424236181818212142426363633618181821214242636363
order1372121333326626144242666626633212121333366666424242666666641228848412121212412124122884841212121241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1
χ311111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32
χ411111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i32
χ511111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32
χ611111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32
χ72-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-1000
χ82-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i32000
χ92-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i32000
χ1066-1-1-1000000066-1-1-1000000066-1-1-1000000066-1-1-1000000066-1-1-1000000066-1-1-10000000
χ116-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+2120000000
χ126-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−2120000000
χ13111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ14111111111-1-1-1111111111-1-1-1111111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111
χ1511111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32
χ1611111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32
χ1711111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32
χ1811111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32
χ192-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-10002-12-1-122-1-1000-21-211-2-211000-21-211-2-211000
χ202-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i320002-12-1-1−1+i3−1−i31−i321+i32000-21-2111−i31+i3−1+i32−1−i32000-21-2111−i31+i3−1+i32−1−i32000
χ212-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i320002-12-1-1−1−i3−1+i31+i321−i32000-21-2111+i31−i3−1−i32−1+i32000-21-2111+i31−i3−1−i32−1+i32000
χ2266-1-1-1000000066-1-1-1000000066-1-1-1000000066-1-1-10000000-6-61110000000-6-61110000000
χ236-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+21200000006-3-11−2121+2120000000-631−1+212−1−2120000000-631−1+212−1−2120000000
χ246-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−21200000006-3-11+2121−2120000000-631−1−212−1+2120000000-631−1−212−1+2120000000
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i
χ26111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−iiii
χ2711111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32iiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ2811111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32iiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ2911111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32iiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−i−i−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ3011111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32iiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i−i−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ312-12-1-122-1-1000-21-211-2-2110002-12-1-122-1-1000-21-211-2-2110002i−i2i−i−i2i2i−i−i000−2ii−2iii−2i−2iii000
χ322-12-1-1−1+i3−1−i31−i321+i32000-21-2111−i31+i3−1+i32−1−i320002-12-1-1−1+i3−1−i31−i321+i32000-21-2111−i31+i3−1+i32−1−i320002i−i2i−i−i2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83000−2ii−2iii−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83000
χ332-12-1-1−1−i3−1+i31+i321−i32000-21-2111+i31−i3−1−i32−1+i320002-12-1-1−1−i3−1+i31+i321−i32000-21-2111+i31−i3−1−i32−1+i320002i−i2i−i−i2ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79000−2ii−2iii−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79000
χ3466-1-1-10000000-6-6111000000066-1-1-10000000-6-611100000006i6i−i−i−i0000000−6i−6iiii0000000
χ356-3-11−2121+2120000000-631−1+212−1−21200000006-3-11−2121+2120000000-631−1+212−1−21200000006i−3i−i−ζ11−ζ19−ζ23−ζ31−ζ55−ζ71−ζ43−ζ47−ζ59−ζ67−ζ79−ζ830000000−6i3iiζ11+ζ19+ζ23+ζ31+ζ55+ζ71ζ43+ζ47+ζ59+ζ67+ζ79+ζ830000000
χ366-3-11+2121−2120000000-631−1−212−1+21200000006-3-11+2121−2120000000-631−1−212−1+21200000006i−3i−i−ζ43−ζ47−ζ59−ζ67−ζ79−ζ83−ζ11−ζ19−ζ23−ζ31−ζ55−ζ710000000−6i3iiζ43+ζ47+ζ59+ζ67+ζ79+ζ83ζ11+ζ19+ζ23+ζ31+ζ55+ζ710000000
χ37111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiii
χ38111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111−i−i−i−i−i−i−i−i−iiiiiiiiiiiii−i−i−i
χ3911111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83iiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83
χ4011111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32−i−i−i−i−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83iζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83iiiiiζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83−i−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83
χ4111111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32−i−i−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79iiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79
χ4211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32−i−i−i−i−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79iζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79iiiiiζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79−i−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79
χ432-12-1-122-1-1000-21-211-2-2110002-12-1-122-1-1000-21-211-2-211000−2ii−2iii−2i−2iii0002i−i2i−i−i2i2i−i−i000
χ442-12-1-1−1+i3−1−i31−i321+i32000-21-2111−i31+i3−1+i32−1−i320002-12-1-1−1+i3−1−i31−i321+i32000-21-2111−i31+i3−1+i32−1−i32000−2ii−2iii−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ830002i−i2i−i−i2ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ792ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83000
χ452-12-1-1−1−i3−1+i31+i321−i32000-21-2111+i31−i3−1−i32−1+i320002-12-1-1−1−i3−1+i31+i321−i32000-21-2111+i31−i3−1−i32−1+i32000−2ii−2iii−2ζ11−2ζ23−2ζ47−2ζ59−2ζ71−2ζ83−2ζ19−2ζ31−2ζ43−2ζ55−2ζ67−2ζ79ζ11+ζ23+ζ47+ζ59+ζ71+ζ83ζ19+ζ31+ζ43+ζ55+ζ67+ζ790002i−i2i−i−i2ζ11+2ζ23+2ζ47+2ζ59+2ζ71+2ζ832ζ19+2ζ31+2ζ43+2ζ55+2ζ67+2ζ79−ζ11−ζ23−ζ47−ζ59−ζ71−ζ83−ζ19−ζ31−ζ43−ζ55−ζ67−ζ79000
χ4666-1-1-10000000-6-6111000000066-1-1-10000000-6-61110000000−6i−6iiii00000006i6i−i−i−i0000000
χ476-3-11−2121+2120000000-631−1+212−1−21200000006-3-11−2121+2120000000-631−1+212−1−2120000000−6i3iiζ11+ζ19+ζ23+ζ31+ζ55+ζ71ζ43+ζ47+ζ59+ζ67+ζ79+ζ8300000006i−3i−i−ζ11−ζ19−ζ23−ζ31−ζ55−ζ71−ζ43−ζ47−ζ59−ζ67−ζ79−ζ830000000
χ486-3-11+2121−2120000000-631−1−212−1+21200000006-3-11+2121−2120000000-631−1−212−1+2120000000−6i3iiζ43+ζ47+ζ59+ζ67+ζ79+ζ83ζ11+ζ19+ζ23+ζ31+ζ55+ζ7100000006i−3i−i−ζ43−ζ47−ζ59−ζ67−ζ79−ζ83−ζ11−ζ19−ζ23−ζ31−ζ55−ζ710000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ50222222222-2-2-2222222222-2-2-2-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111000000000000000000000000
χ5122222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i322222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32-1-1-1-1-11−i321+i321−i321+i32-11−i321+i32000000000000000000000000
χ5222222−1+i3−1−i3−1+i3−1−i3-21−i31+i322222−1+i3−1−i3−1+i3−1−i3-21−i31+i3-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i32000000000000000000000000
χ5322222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i322222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32-1-1-1-1-11+i321−i321+i321−i32-11+i321−i32000000000000000000000000
χ5422222−1−i3−1+i3−1−i3−1+i3-21+i31−i322222−1−i3−1+i3−1−i3−1+i3-21+i31−i3-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i32000000000000000000000000
χ554-24-2-244-2-20004-24-2-244-2-2000-21-211-2-211000-21-211-2-211000000000000000000000000000
χ564-24-2-2−2+2i3−2−2i31−i31+i30004-24-2-2−2+2i3−2−2i31−i31+i3000-21-2111−i31+i3−1+i32−1−i32000-21-2111−i31+i3−1+i32−1−i32000000000000000000000000000
χ574-24-2-2−2−2i3−2+2i31+i31−i30004-24-2-2−2−2i3−2+2i31+i31−i3000-21-2111+i31−i3−1−i32−1+i32000-21-2111+i31−i3−1−i32−1+i32000000000000000000000000000
χ581212-2-2-200000001212-2-2-20000000-6-61110000000-6-61110000000000000000000000000000000
χ5912-6-21−211+21000000012-6-21−211+210000000-631−1+212−1−2120000000-631−1+212−1−2120000000000000000000000000000000
χ6012-6-21+211−21000000012-6-21+211−210000000-631−1−212−1+2120000000-631−1−212−1+2120000000000000000000000000000000
χ61222222222222-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000
χ62222222222-2-2-2-2-2-2-2-2-2-2-2-2222-1-1-1-1-1-1-1-1-1111111111111-1-1-1000000000000000000000000
χ6322222−1+i3−1−i3−1+i3−1−i32−1+i3−1−i3-2-2-2-2-21−i31+i31−i31+i3-21−i31+i3-1-1-1-1-11−i321+i321−i321+i32-11−i321+i3211111−1+i32−1−i32−1+i32−1−i321−1+i32−1−i32000000000000000000000000
χ6422222−1+i3−1−i3−1+i3−1−i3-21−i31+i3-2-2-2-2-21−i31+i31−i31+i32−1+i3−1−i3-1-1-1-1-11−i321+i321−i321+i321−1+i32−1−i3211111−1+i32−1−i32−1+i32−1−i32-11−i321+i32000000000000000000000000
χ6522222−1−i3−1+i3−1−i3−1+i32−1−i3−1+i3-2-2-2-2-21+i31−i31+i31−i3-21+i31−i3-1-1-1-1-11+i321−i321+i321−i32-11+i321−i3211111−1−i32−1+i32−1−i32−1+i321−1−i32−1+i32000000000000000000000000
χ6622222−1−i3−1+i3−1−i3−1+i3-21+i31−i3-2-2-2-2-21+i31−i31+i31−i32−1−i3−1+i3-1-1-1-1-11+i321−i321+i321−i321−1−i32−1+i3211111−1−i32−1+i32−1−i32−1+i32-11+i321−i32000000000000000000000000
χ674-24-2-244-2-2000-42-422-4-422000-21-211-2-2110002-12-1-122-1-1000000000000000000000000000
χ684-24-2-2−2+2i3−2−2i31−i31+i3000-42-4222−2i32+2i3−1+i3−1−i3000-21-2111−i31+i3−1+i32−1−i320002-12-1-1−1+i3−1−i31−i321+i32000000000000000000000000000
χ694-24-2-2−2−2i3−2+2i31+i31−i3000-42-4222+2i32−2i3−1−i3−1+i3000-21-2111+i31−i3−1−i32−1+i320002-12-1-1−1−i3−1+i31+i321−i32000000000000000000000000000
χ701212-2-2-20000000-12-122220000000-6-6111000000066-1-1-10000000000000000000000000000000
χ7112-6-21−211+210000000-1262−1+21−1−210000000-631−1+212−1−21200000006-3-11−2121+2120000000000000000000000000000000
χ7212-6-21+211−210000000-1262−1−21−1+210000000-631−1−212−1+21200000006-3-11+2121−2120000000000000000000000000000000

Here ζ is a primitive root of unity of order 84 (ζ84 = 1); i = ζ21.