Finite Group Databasebeta

← Group #13141212

Character table — Group #13141212

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80
size111111333344444466666666612121212121212121212121212121212121212121212242424242424242424484848484848484848484848484848484848484848484848
order12336699181844121212122661818181818182466121218181818181836363636363636363636412123636363636363366999912121212181818183636363636363636
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32
χ311111111111111111111111111111111111111111111111111111111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32
χ41111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ51111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321+i321+i321−i321−i32−1−i32−1−i32−1+i32−1+i321+i321+i321+i321+i321−i321−i321−i321−i32
χ61111111111-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321−i321−i321+i321+i32−1+i32−1+i32−1−i32−1−i321−i321−i321−i321−i321+i321+i321+i321+i32
χ7111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321111−1−i32−1+i32−1−i32−1+i321111−1−i32−1+i32−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ8111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i32−1−i32−1−i32−1+i32−1+i32−1+i3211−1−i32−1+i32−1+i321111−1−i32−1−i32
χ9111111−1−i32−1+i32−1−i32−1+i32111111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i321−1+i32−1+i32−1−i32−1−i321−1−i32−1+i32111−1−i32−1−i32−1+i32−1+i3211
χ10111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i321111−1−i32−1+i32−1−i32−1+i32-1-1-1-1−1−i32−1+i32−1−i32−1+i321+i321+i321−i321−i321+i321+i321−i321−i32
χ11111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1−i32−1+i32−1−i32−1+i32−1+i3211−1−i321+i321+i321−i321−i32−1+i3211−1−i321−i321−i32-1-1-1-11+i321+i32
χ12111111−1−i32−1+i32−1−i32−1+i32-1-1-1-1-1-1111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32111111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i321+i321+i321−i321−i32-1-1-11+i321+i321+i321−i321−i321−i32−1+i32−1−i32−1+i32−1−i321−1−i32−1+i3211−i321−i321+i321+i321−1−i32−1+i321-1-11+i321+i321−i321−i32-1-1
χ13111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321111−1+i32−1−i32−1+i32−1−i321111−1+i32−1−i32−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ14111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i321−1−i32−1−i32−1+i32−1+i321−1+i32−1−i32111−1+i32−1+i32−1−i32−1−i3211
χ15111111−1+i32−1−i32−1+i32−1−i32111111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1−i32−1−i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i32−1+i32−1+i32−1−i32−1−i32−1−i3211−1+i32−1−i32−1−i321111−1+i32−1+i32
χ16111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i321111−1+i32−1−i32−1+i32−1−i32-1-1-1-1−1+i32−1−i32−1+i32−1−i321−i321−i321+i321+i321−i321−i321+i321+i32
χ17111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1−i32−1+i32−1−i32−1+i321−1+i32−1−i3211+i321+i321−i321−i321−1+i32−1−i321-1-11−i321−i321+i321+i32-1-1
χ18111111−1+i32−1−i32−1+i32−1−i32-1-1-1-1-1-1111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32111111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i321−i321−i321+i321+i32-1-1-11−i321−i321−i321+i321+i321+i32−1+i32−1−i32−1+i32−1−i32−1−i3211−1+i321−i321−i321+i321+i32−1−i3211−1+i321+i321+i32-1-1-1-11−i321−i32
χ193333333333333333333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-13333-1-1-1-1-1-1-1-1-1000000000000000000000000
χ203333333333-3-3-3-3-3-3333333333-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-3-3-3-3111111111000000000000000000000000
χ21333333−3−3i32−3+3i32−3−3i32−3+3i32333333333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i32−3−3i32−3−3i32−3+3i32−3+3i32-1-1-11+i321+i321+i321−i321−i321−i32000000000000000000000000
χ22333333−3−3i32−3+3i32−3−3i32−3+3i32-3-3-3-3-3-3333−3−3i32−3−3i32−3−3i32−3+3i32−3+3i32−3+3i32-1-1-1-1-1-11+i321+i321+i321−i321−i321−i321+i321+i321+i321−i321−i321−i323+3i323+3i323−3i323−3i32111−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32000000000000000000000000
χ23333333−3+3i32−3−3i32−3+3i32−3−3i32333333333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i32−3+3i32−3+3i32−3−3i32−3−3i32-1-1-11−i321−i321−i321+i321+i321+i32000000000000000000000000
χ24333333−3+3i32−3−3i32−3+3i32−3−3i32-3-3-3-3-3-3333−3+3i32−3+3i32−3+3i32−3−3i32−3−3i32−3−3i32-1-1-1-1-1-11−i321−i321−i321+i321+i321+i321−i321−i321−i321+i321+i321+i323−3i323−3i323+3i323+3i32111−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32000000000000000000000000
χ2533−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i3200000033−3−3i32−3+3i32−3−3i32−3+3i3200000000000000003−3−3i32−3+3i32000000000000000000000000000000
χ2633−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ342ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ340000-11+i321−i322ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ34000000000000000000000000
χ2733−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i32−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ340000-11+i321−i32−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34000000000000000000000000
χ2833−3−3i32−3+3i32−3−3i32−3+3i32000033−3−3i32−3−3i32−3+3i32−3+3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i32−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ220000-11+i321−i32−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22000000000000000000000000
χ2933−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i3200000033−3−3i32−3+3i32−3−3i32−3+3i320000000000000000-33+3i323−3i32000000000000000000000000000000
χ3033−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i322ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ342ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ3400001−1−i32−1+i32−2ζ14−2ζ262ζ262ζ142ζ22−2ζ22−2ζ342ζ34000000000000000000000000
χ3133−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i32−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ34−2ζ26−2ζ142ζ14+2ζ26−2ζ34−2ζ222ζ22+2ζ3400001−1−i32−1+i322ζ262ζ14−2ζ14−2ζ262ζ342ζ22−2ζ22−2ζ34000000000000000000000000
χ3233−3−3i32−3+3i32−3−3i32−3+3i320000-3-33+3i323+3i323−3i323−3i323−3−3i32−3+3i32000000-1-11+i321−i321+i321−i32−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ22−2ζ142ζ14+2ζ26−2ζ262ζ22+2ζ34−2ζ34−2ζ2200001−1−i32−1+i322ζ14−2ζ14−2ζ262ζ26−2ζ22−2ζ342ζ342ζ22000000000000000000000000
χ3333−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i3200000033−3+3i32−3−3i32−3+3i32−3−3i3200000000000000003−3+3i32−3−3i32000000000000000000000000000000
χ3433−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i32−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ140000-11−i321+i32−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14000000000000000000000000
χ3533−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ262ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ260000-11−i321+i322ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ26000000000000000000000000
χ3633−3+3i32−3−3i32−3+3i32−3−3i32000033−3+3i32−3+3i32−3−3i32−3−3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i32−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ260000-11−i321+i32−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26000000000000000000000000
χ3733−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i3200000033−3+3i32−3−3i32−3+3i32−3−3i320000000000000000-33−3i323+3i32000000000000000000000000000000
χ3833−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i32−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ14−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ1400001−1+i32−1−i322ζ222ζ34−2ζ22−2ζ342ζ26−2ζ14−2ζ262ζ14000000000000000000000000
χ3933−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i322ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ262ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ2600001−1+i32−1−i32−2ζ22−2ζ342ζ222ζ34−2ζ14−2ζ262ζ142ζ26000000000000000000000000
χ4033−3+3i32−3−3i32−3+3i32−3−3i320000-3-33−3i323−3i323+3i323+3i323−3+3i32−3−3i32000000-1-11−i321+i321−i321+i32−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ26−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ2600001−1+i32−1−i322ζ34−2ζ22−2ζ342ζ222ζ142ζ26−2ζ14−2ζ26000000000000000000000000
χ414-444-4-444-4-42i−2i2i−2i2i−2i0000000000000000000000000002i−2i2i−2i00000000011-1-11111i−ii−i-1-1-1-1i−ii−ii−ii−i
χ424-444-4-444-4-42i−2i2i−2i2i−2i0000000000000000000000000002i−2i2i−2i000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32−ζ15ζ15−ζ3ζ31+i321+i321−i321−i32−ζ15ζ15−ζ15ζ15−ζ3ζ3−ζ3ζ3
χ434-444-4-444-4-42i−2i2i−2i2i−2i0000000000000000000000000002i−2i2i−2i000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32−ζ3ζ3−ζ15ζ151−i321−i321+i321+i32−ζ3ζ3−ζ3ζ3−ζ15ζ15−ζ15ζ15
χ444-444-4-444-4-4−2i2i−2i2i−2i2i000000000000000000000000000−2i2i−2i2i00000000011-1-11111−ii−ii-1-1-1-1−ii−ii−ii−ii
χ454-444-4-444-4-4−2i2i−2i2i−2i2i000000000000000000000000000−2i2i−2i2i000000000−1−i32−1+i321+i321−i32−1−i32−1−i32−1+i32−1+i32ζ15−ζ15ζ3−ζ31+i321+i321−i321−i32ζ15−ζ15ζ15−ζ15ζ3−ζ3ζ3−ζ3
χ464-444-4-444-4-4−2i2i−2i2i−2i2i000000000000000000000000000−2i2i−2i2i000000000−1+i32−1−i321−i321+i32−1+i32−1+i32−1−i32−1−i32ζ3−ζ3ζ15−ζ151−i321−i321+i321+i32ζ3−ζ3ζ3−ζ3ζ15−ζ15ζ15−ζ15
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χ484-444-4-4−2−2i3−2+2i32+2i32−2i32i−2i2i−2i2i−2i000000000000000000000000000−2ζ152ζ15−2ζ32ζ3000000000−1−i32−1+i321+i321−i32−1+i3211−1−i32−ζ15ζ15−ζ3ζ31−i32-1-11+i32−ζ3ζ3i−ii−i−ζ15ζ15
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χ6566−3−3i3−3+3i3−3−3i3−3+3i30000000000-21+i31−i34ζ14+4ζ26−4ζ26−4ζ14−4ζ224ζ22+4ζ34−4ζ342-2−1−i3−1+i31+i31−i32ζ14+2ζ26−2ζ26−2ζ14−2ζ222ζ22+2ζ34−2ζ34−2ζ14−2ζ262ζ262ζ142ζ22−2ζ22−2ζ342ζ340000000000000000000000000000000000000
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χ7266−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i3−4ζ22−4ζ344ζ22+4ζ34−4ζ264ζ14+4ζ26−4ζ14-221−i31+i3−1+i3−1−i32ζ222ζ34−2ζ22−2ζ342ζ26−2ζ14−2ζ262ζ14−2ζ22−2ζ342ζ22+2ζ34−2ζ262ζ14+2ζ26−2ζ140000000000000000000000000000000000000
χ7366−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ262-2−1+i3−1−i31−i31+i32ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ26−2ζ22−2ζ342ζ222ζ34−2ζ14−2ζ262ζ142ζ260000000000000000000000000000000000000
χ7466−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i34ζ22+4ζ34−4ζ22−4ζ344ζ14+4ζ26−4ζ14−4ζ26-221−i31+i3−1+i3−1−i3−2ζ22−2ζ342ζ222ζ34−2ζ14−2ζ262ζ142ζ262ζ22+2ζ34−2ζ22−2ζ342ζ14+2ζ26−2ζ14−2ζ260000000000000000000000000000000000000
χ7566−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i3−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ262-2−1+i3−1−i31−i31+i3−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ262ζ34−2ζ22−2ζ342ζ222ζ142ζ26−2ζ14−2ζ260000000000000000000000000000000000000
χ7666−3+3i3−3−3i3−3+3i3−3−3i30000000000-21−i31+i3−4ζ344ζ22+4ζ34−4ζ22−4ζ14−4ζ264ζ14+4ζ26-221−i31+i3−1+i3−1−i32ζ34−2ζ22−2ζ342ζ222ζ142ζ26−2ζ14−2ζ26−2ζ342ζ22+2ζ34−2ζ22−2ζ14−2ζ262ζ14+2ζ260000000000000000000000000000000000000
χ7712-12−6−6i3−6+6i36+6i36−6i300006i−6i−6ζ156ζ15−6ζ36ζ30000000000000000000000000000000000000000000000000000000000000000
χ7812-12−6−6i3−6+6i36+6i36−6i30000−6i6i6ζ15−6ζ156ζ3−6ζ30000000000000000000000000000000000000000000000000000000000000000
χ7912-12−6+6i3−6−6i36−6i36+6i300006i−6i−6ζ36ζ3−6ζ156ζ150000000000000000000000000000000000000000000000000000000000000000
χ8012-12−6+6i3−6−6i36−6i36+6i30000−6i6i6ζ3−6ζ36ζ15−6ζ150000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 36 (ζ36 = 1); i = ζ9.