Finite Group Databasebeta

← Group #137828

Character table — Group #137828

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order1222444422444444888888882244448888888816161616161616162488888888881616161616161616161616161616161616161616448816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ5111111111111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i
χ101111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii
χ111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii
χ121111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11-1-1-1-1-1-11111−i−iii−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i
χ131111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i-1-1111111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii
χ141111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1iiii−i−i−i−i-1-111-1-1-1-11111ii−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i
χ151111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii-1-1111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i
χ161111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1−i−i−i−iiiii-1-111-1-1-1-11111−i−iiiiiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii
χ171111-1-1-1-111-1-111-1-1ii−i−iii−i−i111-1-1-1i−iii−i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i11-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−iζ2−ζ2ζ6−ζ6
χ181111-1-1-1-111-1-111-1-1ii−i−iii−i−i111-1-1-1i−iii−i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i-1-111−i−iiiζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii−ζ2ζ2−ζ6ζ6
χ191111-1-1-1-111-1-111-1-1ii−i−iii−i−i111-1-1-1i−iii−i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i11-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i−ζ2ζ2−ζ6ζ6
χ201111-1-1-1-111-1-111-1-1ii−i−iii−i−i111-1-1-1i−iii−i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i-1-111−i−iii−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−iiζ2−ζ2ζ6−ζ6
χ211111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-11-111i−i−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii11-1-1ii−i−iζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii−ζ2ζ2−ζ6ζ6
χ221111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-11-111i−i−i−iiii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−iζ2−ζ2ζ6−ζ6
χ231111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-11-111i−i−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii11-1-1ii−i−i−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−iiζ2−ζ2ζ6−ζ6
χ241111-1-1-1-111-1-111-1-1ii−i−iii−i−i-1-11-111i−i−i−iiii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i−ζ2ζ2−ζ6ζ6
χ251111-1-1-1-111-1-111-1-1−i−iii−i−iii111-1-1-1−ii−i−iii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii11-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−iiζ6−ζ6ζ2−ζ2
χ261111-1-1-1-111-1-111-1-1−i−iii−i−iii111-1-1-1−ii−i−iii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii-1-111ii−i−iζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i−ζ6ζ6−ζ2ζ2
χ271111-1-1-1-111-1-111-1-1−i−iii−i−iii111-1-1-1−ii−i−iii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii11-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii−ζ6ζ6−ζ2ζ2
χ281111-1-1-1-111-1-111-1-1−i−iii−i−iii111-1-1-1−ii−i−iii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii-1-111ii−i−i−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−iζ6−ζ6ζ2−ζ2
χ291111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-11-111−iiii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i11-1-1−i−iiiζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i−ζ6ζ6−ζ2ζ2
χ301111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-11-111−iiii−i−i−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−iiζ6−ζ6ζ2−ζ2
χ311111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-11-111−iiii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i11-1-1−i−iii−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−iζ6−ζ6ζ2−ζ2
χ321111-1-1-1-111-1-111-1-1−i−iii−i−iii-1-11-111−iiii−i−i−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii−ζ6ζ6−ζ2ζ2
χ33222222222222-2-2-2-22222222200-2-200-2-20000-2-222222222000000000000-2-2-2-2000000000000000000000000
χ34222222222222-2-2-2-22222222200-2-200-2-20000-2-2-2-2-2-2-2-2-2-20000000000002222000000000000000000000000
χ35222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-200220000222i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i000000000000000000000000
χ36222222222222-2-2-2-2-2-2-2-2-2-2-2-200-2-20022000022−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i000000000000000000000000
χ3722222222-2-2-2-222222222-2-2-2-222-2-222-2-2-2-2-2-22200000000-2-222000000000000000000000000000000000000
χ3822222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222220000000022-2-2000000000000000000000000000000000000
χ3922222222-2-2-2-22222-2-2-2-2222222-2-222222222-2-200000000-2-2-2-2000000000000000000000000000000000000
χ4022222222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-222-2-2-2-2-2-2000000002222000000000000000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-22222-2-2-2-2002200220000-2-20000000000000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000
χ4222222222-2-2-2-2-2-2-2-22222-2-2-2-2002200220000-2-2000000000000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-22222002200-2-20000220000000000000000000000002-22-2-22-220000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-22222002200-2-2000022000000000000000000000000-22-222-22-20000000000000000
χ452222-2-2-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i00-2200−2i2i0000−2i2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000−2ζ22ζ2−2ζ62ζ6000000000000000000000000
χ462222-2-2-2-222-2-2-2-2222i2i−2i−2i2i2i−2i−2i00-2200−2i2i0000−2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ60000000000002ζ2−2ζ22ζ6−2ζ6000000000000000000000000
χ472222-2-2-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i00-22002i−2i00002i−2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000−2ζ62ζ6−2ζ22ζ2000000000000000000000000
χ482222-2-2-2-222-2-2-2-222−2i−2i2i2i−2i−2i2i2i00-22002i−2i00002i−2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ20000000000002ζ6−2ζ62ζ2−2ζ2000000000000000000000000
χ492222-2-2-2-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i22-22-2-2−2i2i−2i−2i2i2i2i−2i00000000-222i−2i000000000000000000000000000000000000
χ502222-2-2-2-2-2-22222-2-22i2i−2i−2i−2i−2i2i2i-2-2-2222−2i2i2i2i−2i−2i2i−2i000000002-2−2i2i000000000000000000000000000000000000
χ512222-2-2-2-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i22-22-2-22i−2i2i2i−2i−2i−2i2i00000000-22−2i2i000000000000000000000000000000000000
χ522222-2-2-2-2-2-22222-2-2−2i−2i2i2i2i2i−2i−2i-2-2-22222i−2i−2i−2i2i2i−2i2i000000002-22i−2i000000000000000000000000000000000000
χ532222-2-2-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i002-2002i−2i0000−2i2i0000000000000000000000002ζ6−2ζ6−2ζ62ζ6−2ζ22ζ22ζ2−2ζ20000000000000000
χ542222-2-2-2-2-2-222-2-2222i2i−2i−2i−2i−2i2i2i002-2002i−2i0000−2i2i000000000000000000000000−2ζ62ζ62ζ6−2ζ62ζ2−2ζ2−2ζ22ζ20000000000000000
χ552222-2-2-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i002-200−2i2i00002i−2i0000000000000000000000002ζ2−2ζ2−2ζ22ζ2−2ζ62ζ62ζ6−2ζ60000000000000000
χ562222-2-2-2-2-2-222-2-222−2i−2i2i2i2i2i−2i−2i002-200−2i2i00002i−2i000000000000000000000000−2ζ22ζ22ζ2−2ζ22ζ6−2ζ6−2ζ62ζ60000000000000000
χ5722-2-22i−2i2i−2i2-22i−2i00002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ70000i2−i22−21−i−1+i1+i−1−i000000000000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ500000000
χ5822-2-22i−2i2i−2i2-22i−2i00002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ70000−i2i2−22−1+i1−i−1−i1+i000000000000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ500000000
χ5922-2-22i−2i2i−2i2-22i−2i00002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ70000i2−i22−21−i−1+i1+i−1−i000000000000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ500000000
χ6022-2-22i−2i2i−2i2-22i−2i00002ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ70000−i2i2−22−1+i1−i−1−i1+i000000000000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ500000000
χ6122-2-22i−2i2i−2i2-22i−2i0000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ30000i2−i22−2−1+i1−i−1−i1+i000000000000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ500000000
χ6222-2-22i−2i2i−2i2-22i−2i0000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ30000−i2i2−221−i−1+i1+i−1−i000000000000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ500000000
χ6322-2-22i−2i2i−2i2-22i−2i0000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ30000i2−i22−2−1+i1−i−1−i1+i000000000000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ500000000
χ6422-2-22i−2i2i−2i2-22i−2i0000−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ30000−i2i2−221−i−1+i1+i−1−i000000000000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ500000000
χ6522-2-2−2i2i−2i2i2-2−2i2i00002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ50000i2−i2−221+i−1−i1−i−1+i000000000000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ700000000
χ6622-2-2−2i2i−2i2i2-2−2i2i00002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ50000−i2i22−2−1−i1+i−1+i1−i000000000000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ700000000
χ6722-2-2−2i2i−2i2i2-2−2i2i00002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ50000i2−i2−221+i−1−i1−i−1+i000000000000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ700000000
χ6822-2-2−2i2i−2i2i2-2−2i2i00002ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ50000−i2i22−2−1−i1+i−1+i1−i000000000000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ700000000
χ6922-2-2−2i2i−2i2i2-2−2i2i0000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2000000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ0000i2−i2−22−1−i1+i−1+i1−i000000000000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000
χ7022-2-2−2i2i−2i2i2-2−2i2i0000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2000000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ0000−i2i22−21+i−1−i1−i−1+i000000000000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000
χ7122-2-2−2i2i−2i2i2-2−2i2i0000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ0000i2−i2−22−1−i1+i−1+i1−i000000000000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ700000000
χ7222-2-2−2i2i−2i2i2-2−2i2i0000−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ0000−i2i22−21+i−1−i1−i−1+i000000000000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ700000000
χ7344-4-44i−4i4i−4i-44−4i4i00004ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ600000000000000000000000000000000000000000000000000000000000000
χ7444-4-44i−4i4i−4i-44−4i4i0000−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ600000000000000000000000000000000000000000000000000000000000000
χ7544-4-4−4i4i−4i4i-444i−4i00004ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ200000000000000000000000000000000000000000000000000000000000000
χ7644-4-4−4i4i−4i4i-444i−4i0000−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ200000000000000000000000000000000000000000000000000000000000000
χ774-44-44i−4i−4i4i00004-44i−4i00000000000000004ζ6−4ζ64ζ2−4ζ200000000000000000000000000000000000000000000000000
χ784-44-44i−4i−4i4i00004-44i−4i0000000000000000−4ζ64ζ6−4ζ24ζ200000000000000000000000000000000000000000000000000
χ794-44-44i−4i−4i4i0000-44−4i4i000000004-4004i−4i00000000000000000000000000000000000000000000000000000000
χ804-44-44i−4i−4i4i0000-44−4i4i00000000-4400−4i4i00000000000000000000000000000000000000000000000000000000
χ814-44-4−4i4i4i−4i00004-4−4i4i00000000000000004ζ2−4ζ24ζ6−4ζ600000000000000000000000000000000000000000000000000
χ824-44-4−4i4i4i−4i00004-4−4i4i0000000000000000−4ζ24ζ2−4ζ64ζ600000000000000000000000000000000000000000000000000
χ834-44-4−4i4i4i−4i0000-444i−4i000000004-400−4i4i00000000000000000000000000000000000000000000000000000000
χ844-44-4−4i4i4i−4i0000-444i−4i00000000-44004i−4i00000000000000000000000000000000000000000000000000000000
χ858-8-8888-8-8000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.