Finite Group Databasebeta

← Group #137921

Character table — Group #137921

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size1111111122222222222222224444444444444444444444888888888888888888888888888888881616161616161616
order12224444224488888888888822448816161616161616161616161616161616244444448888888816161616161616161616161616161616248816161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111
χ5111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ9111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−iii−i−i-1-111ii−i−i
χ10111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111−i−i−i−iiiiiii−i−iii−i−i11-1-1−i−iii
χ11111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1iiii−i−i−i−iii−i−i−i−iii11-1-1−i−iii
χ12111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiii−i−i−i−iii-1-111ii−i−i
χ13111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1−i−i−i−iiiii−i−iiiii−i−i11-1-1ii−i−i
χ14111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−iiiii−i−i-1-111−i−iii
χ15111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii−i−iii-1-111−i−iii
χ16111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−iii−i−iii11-1-1ii−i−i
χ171111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−iii−i−i11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ61-1i−iζ6−ζ6ζ2−ζ2
χ181111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1−i−iiiii−i−i-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6-11−ii−ζ6ζ6−ζ2ζ2
χ191111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111ii−i−i−i−iii11-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6-11−ii−ζ6ζ6−ζ2ζ2
χ201111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−i−iii−i−iii-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ61-1i−iζ6−ζ6ζ2−ζ2
χ211111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111ii−i−i−i−iii11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6-11−iiζ6−ζ6ζ2−ζ2
χ221111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−i−iii−i−iii-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ61-1i−i−ζ6ζ6−ζ2ζ2
χ231111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−iii−i−i11-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ61-1i−i−ζ6ζ6−ζ2ζ2
χ241111-1-1-1-111-1-1iiii−i−i−i−iii−i−i-1-111i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1−i−iiiii−i−i-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6-11−iiζ6−ζ6ζ2−ζ2
χ251111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1ii−i−i−i−iii-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2-11i−i−ζ2ζ2−ζ6ζ6
χ261111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iii−i−iii11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ21-1−iiζ2−ζ2ζ6−ζ6
χ271111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ii−i−iii−i−i-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ21-1−iiζ2−ζ2ζ6−ζ6
χ281111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111−i−iiiii−i−i11-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2-11i−i−ζ2ζ2−ζ6ζ6
χ291111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ii−i−iii−i−i-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ21-1−ii−ζ2ζ2−ζ6ζ6
χ301111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111−i−iiiii−i−i11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2-11i−iζ2−ζ2ζ6−ζ6
χ311111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1ii−i−i−i−iii-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2-11i−iζ2−ζ2ζ6−ζ6
χ321111-1-1-1-111-1-1−i−i−i−iiiii−i−iii-1-111−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii−i−iii11-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ21-1−ii−ζ2ζ2−ζ6ζ6
χ3322222222222222-2-222-2-22222-2-2-2-2-2-22222222200000000000000000000000000000000-2-2-2-2000000000000
χ3422222222222222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000002222000000000000
χ35222222222222-2-222-2-222-2-2-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000−2i−2i2i2i000000000000
χ36222222222222-2-222-2-222-2-2-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000002i2i−2i−2i000000000000
χ3722222222-2-2-2-222222222-2-2-2-2-22-22-2-200000000000000002-2-2200002-22-20000000000000000000000000000
χ3822222222-2-2-2-222222222-2-2-2-2-22-22-2-20000000000000000-222-20000-22-220000000000000000000000000000
χ3922222222-2-2-2-222-2-222-2-2-2-2-2-22-22-222000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000000000−2i−2i2i2i00000000
χ4022222222-2-2-2-222-2-222-2-2-2-2-2-22-22-22200000000−2i−2i−2i−2i2i2i2i2i00000000000000000000000000002i2i−2i−2i00000000
χ4122222222-2-2-2-2-2-222-2-22222222-22-2-2-200000000222222220000000000000000000000000000-2-2-2-200000000
χ4222222222-2-2-2-2-2-222-2-22222222-22-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000222200000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-22222-22-222200000000000000002-2-220000-22-220000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-22222-22-22220000000000000000-222-200002-22-20000000000000000000000000000
χ452222-2-2-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2−2i2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ600000000000000000000000000000000−2ζ22ζ2−2ζ62ζ6000000000000
χ462222-2-2-2-222-2-22i2i−2i−2i−2i−2i2i2i2i2i−2i−2i22-2-2−2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ6000000000000000000000000000000002ζ2−2ζ22ζ6−2ζ6000000000000
χ472222-2-2-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-22i−2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ200000000000000000000000000000000−2ζ62ζ6−2ζ22ζ2000000000000
χ482222-2-2-2-222-2-2−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i22-2-22i−2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ2000000000000000000000000000000002ζ6−2ζ62ζ2−2ζ2000000000000
χ492222-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2-2-22−2i2i00000000000000002-22-200002i−2i−2i2i0000000000000000000000000000
χ502222-2-2-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i2i2i2-2-22−2i2i0000000000000000-22-220000−2i2i2i−2i0000000000000000000000000000
χ512222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-222-22i−2i000000002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000000000000000000000000000−2ζ62ζ6−2ζ22ζ200000000
χ522222-2-2-2-2-2-2222i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-222-22i−2i00000000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000000000000000000000002ζ6−2ζ62ζ2−2ζ200000000
χ532222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-222-2−2i2i000000002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000000000000000000000000000−2ζ22ζ2−2ζ62ζ600000000
χ542222-2-2-2-2-2-222−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-222-2−2i2i00000000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000000000000000000000002ζ2−2ζ22ζ6−2ζ600000000
χ552222-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2-2-222i−2i00000000000000002-22-20000−2i2i2i−2i0000000000000000000000000000
χ562222-2-2-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i2-2-222i−2i0000000000000000-22-2200002i−2i−2i2i0000000000000000000000000000
χ5722-2-22i2i−2i−2i2-22i−2i2ζ2−2ζ2002ζ6−2ζ6002ζ2−2ζ22ζ6−2ζ60000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ70000000000001+i−1−i1−i−1+i00002−2i2−i2ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ70000000000000000
χ5822-2-22i2i−2i−2i2-22i−2i2ζ2−2ζ2002ζ6−2ζ6002ζ2−2ζ22ζ6−2ζ60000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000−1−i1+i−1+i1−i0000−22−i2i2−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ70000000000000000
χ5922-2-22i2i−2i−2i2-22i−2i2ζ2−2ζ2002ζ6−2ζ6002ζ2−2ζ22ζ6−2ζ6000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ70000000000001+i−1−i1−i−1+i00002−2i2−i2−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ70000000000000000
χ6022-2-22i2i−2i−2i2-22i−2i2ζ2−2ζ2002ζ6−2ζ6002ζ2−2ζ22ζ6−2ζ6000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000−1−i1+i−1+i1−i0000−22−i2i2ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ70000000000000000
χ6122-2-22i2i−2i−2i2-22i−2i−2ζ22ζ200−2ζ62ζ600−2ζ22ζ2−2ζ62ζ60000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ30000000000001+i−1−i1−i−1+i0000−22−i2i2−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ70000000000000000
χ6222-2-22i2i−2i−2i2-22i−2i−2ζ22ζ200−2ζ62ζ600−2ζ22ζ2−2ζ62ζ60000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000−1−i1+i−1+i1−i00002−2i2−i2ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ70000000000000000
χ6322-2-22i2i−2i−2i2-22i−2i−2ζ22ζ200−2ζ62ζ600−2ζ22ζ2−2ζ62ζ6000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ30000000000001+i−1−i1−i−1+i0000−22−i2i2ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ70000000000000000
χ6422-2-22i2i−2i−2i2-22i−2i−2ζ22ζ200−2ζ62ζ600−2ζ22ζ2−2ζ62ζ6000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000−1−i1+i−1+i1−i00002−2i2−i2−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ70000000000000000
χ6522-2-2−2i−2i2i2i2-2−2i2i2ζ6−2ζ6002ζ2−2ζ2002ζ6−2ζ62ζ2−2ζ20000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ50000000000001−i−1+i1+i−1−i0000−22i2−i2ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ50000000000000000
χ6622-2-2−2i−2i2i2i2-2−2i2i2ζ6−2ζ6002ζ2−2ζ2002ζ6−2ζ62ζ2−2ζ20000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000−1+i1−i−1−i1+i00002−2−i2i2−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ50000000000000000
χ6722-2-2−2i−2i2i2i2-2−2i2i2ζ6−2ζ6002ζ2−2ζ2002ζ6−2ζ62ζ2−2ζ2000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ50000000000001−i−1+i1+i−1−i0000−22i2−i2−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ50000000000000000
χ6822-2-2−2i−2i2i2i2-2−2i2i2ζ6−2ζ6002ζ2−2ζ2002ζ6−2ζ62ζ2−2ζ2000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000−1+i1−i−1−i1+i00002−2−i2i2ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ50000000000000000
χ6922-2-2−2i−2i2i2i2-2−2i2i−2ζ62ζ600−2ζ22ζ200−2ζ62ζ6−2ζ22ζ20000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ0000000000001−i−1+i1+i−1−i00002−2−i2i2ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ50000000000000000
χ7022-2-2−2i−2i2i2i2-2−2i2i−2ζ62ζ600−2ζ22ζ200−2ζ62ζ6−2ζ22ζ20000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000−1+i1−i−1−i1+i0000−22i2−i2−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ50000000000000000
χ7122-2-2−2i−2i2i2i2-2−2i2i−2ζ62ζ600−2ζ22ζ200−2ζ62ζ6−2ζ22ζ2000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ0000000000001−i−1+i1+i−1−i00002−2−i2i2−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ50000000000000000
χ7222-2-2−2i−2i2i2i2-2−2i2i−2ζ62ζ600−2ζ22ζ200−2ζ62ζ6−2ζ22ζ2000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000−1+i1−i−1−i1+i0000−22i2−i2ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ50000000000000000
χ7344-4-44i4i−4i−4i-44−4i4i4ζ2−4ζ2004ζ6−4ζ600−4ζ24ζ2−4ζ64ζ600000000000000000000000000000000000000000000000000000000000000
χ7444-4-44i4i−4i−4i-44−4i4i−4ζ24ζ200−4ζ64ζ6004ζ2−4ζ24ζ6−4ζ600000000000000000000000000000000000000000000000000000000000000
χ7544-4-4−4i−4i4i4i-444i−4i4ζ6−4ζ6004ζ2−4ζ200−4ζ64ζ6−4ζ24ζ200000000000000000000000000000000000000000000000000000000000000
χ7644-4-4−4i−4i4i4i-444i−4i−4ζ64ζ600−4ζ24ζ2004ζ6−4ζ64ζ2−4ζ200000000000000000000000000000000000000000000000000000000000000
χ774-44-44i−4i4i−4i0000004ζ6−4ζ6004ζ2−4ζ20000000000000000002ζ+2ζ5−2ζ−2ζ52ζ−2ζ5−2ζ+2ζ52ζ3−2ζ7−2ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ70000000000000000000000000000000000000000
χ784-44-44i−4i4i−4i0000004ζ6−4ζ6004ζ2−4ζ2000000000000000000−2ζ−2ζ52ζ+2ζ5−2ζ+2ζ52ζ−2ζ5−2ζ3+2ζ72ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ70000000000000000000000000000000000000000
χ794-44-44i−4i4i−4i000000−4ζ64ζ600−4ζ24ζ20000000000000000002ζ−2ζ5−2ζ+2ζ5−2ζ−2ζ52ζ+2ζ52ζ3+2ζ7−2ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ70000000000000000000000000000000000000000
χ804-44-44i−4i4i−4i000000−4ζ64ζ600−4ζ24ζ2000000000000000000−2ζ+2ζ52ζ−2ζ52ζ+2ζ5−2ζ−2ζ5−2ζ3−2ζ72ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ70000000000000000000000000000000000000000
χ814-44-4−4i4i−4i4i0000004ζ2−4ζ2004ζ6−4ζ60000000000000000002ζ3−2ζ7−2ζ3+2ζ72ζ3+2ζ7−2ζ3−2ζ7−2ζ−2ζ52ζ+2ζ5−2ζ+2ζ52ζ−2ζ50000000000000000000000000000000000000000
χ824-44-4−4i4i−4i4i0000004ζ2−4ζ2004ζ6−4ζ6000000000000000000−2ζ3+2ζ72ζ3−2ζ7−2ζ3−2ζ72ζ3+2ζ72ζ+2ζ5−2ζ−2ζ52ζ−2ζ5−2ζ+2ζ50000000000000000000000000000000000000000
χ834-44-4−4i4i−4i4i000000−4ζ24ζ200−4ζ64ζ60000000000000000002ζ3+2ζ7−2ζ3−2ζ7−2ζ3+2ζ72ζ3−2ζ7−2ζ+2ζ52ζ−2ζ52ζ+2ζ5−2ζ−2ζ50000000000000000000000000000000000000000
χ844-44-4−4i4i−4i4i000000−4ζ24ζ200−4ζ64ζ6000000000000000000−2ζ3−2ζ72ζ3+2ζ72ζ3−2ζ7−2ζ3+2ζ72ζ−2ζ5−2ζ+2ζ5−2ζ−2ζ52ζ+2ζ50000000000000000000000000000000000000000
χ858-8-888-8-88000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-888-8000000000000000000000000000000000000000000000000000000000000000000000000000000

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