Finite Group Databasebeta

← Group #136713

Character table — Group #136713

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111112222222244444444444444448888888888888888888888888888888888888888888888888888
order12224444888888882244888844448888161616161616161622444444888888888888888816161616161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii
χ171111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-111-1-1ii−i−iii−i−i11-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ181111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1-1-111ii−i−i−i−iii-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ191111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-11111-1-1−i−iiiii−i−i-1-111−i−iiiζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ201111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111-1-111−i−iii−i−iii11-1-1ii−i−iζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ211111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-111-1-1ii−i−iii−i−i11-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ221111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1-1-111ii−i−i−i−iii-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ231111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-11111-1-1−i−iiiii−i−i-1-111−i−iii−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ241111-1-1-1-1ii−i−iii−i−i11-1-1i−ii−i1-11-1i−ii−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111-1-111−i−iii−i−iii11-1-1ii−i−i−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ251111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-111-1-1−i−iii−i−iii11-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ261111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1-1-111−i−iiiii−i−i-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ271111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-11111-1-1ii−i−i−i−iii-1-111ii−i−iζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ281111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−iiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111-1-111ii−i−iii−i−i11-1-1−i−iiiζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ291111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-111-1-1−i−iii−i−iii11-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ301111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1-1-111−i−iiiii−i−i-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ311111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-11111-1-1ii−i−i−i−iii-1-111ii−i−i−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ321111-1-1-1-1−i−iii−i−iii11-1-1−ii−ii1-11-1−ii−ii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111-1-111ii−i−iii−i−i11-1-1−i−iii−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ33222222222222222222222222-2-2-2-2-2-2-2-222222222000000000000000000000000-2-2-2-2000000000000000000000000
χ34222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000002222000000000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-222-2-2-2-2220000000000000000000000000000000000002-22-22-22-20000000000000000
χ362222222222222222-2-2-2-2-2-2-2-222-2-2-2-222000000000000000000000000000000000000-22-22-22-220000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-22222-2-20000000000002-22-200002-22-2000000000000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2000000000000-22-220000-22-22000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-222222i2i2i2i−2i−2i−2i−2i000000000000000000000000−2i−2i2i2i000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000002i2i−2i−2i000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-20000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-222-2-2000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-2220000000000002-22-20000-22-22000000000000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000-22-2200002-22-2000000000000000000000000000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i-22-22−2i2i−2i2i2ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000000000000000−2ζ22ζ2−2ζ62ζ6000000000000000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i−2i2i−2i-22-22−2i2i−2i2i−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ60000000000000000000000002ζ2−2ζ22ζ6−2ζ6000000000000000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222−2i2i−2i2i2-2-22−2i2i2i−2i0000000000000000000000000000000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222−2i2i−2i2i2-2-22−2i2i2i−2i000000000000000000000000000000000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000
χ492222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222−2i2i−2i2i-222-22i−2i−2i2i0000000000002-2-2200002i−2i−2i2i000000000000000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222−2i2i−2i2i-222-22i−2i−2i2i000000000000-222-20000−2i2i2i−2i000000000000000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i-22-222i−2i2i−2i2ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000000000000000−2ζ62ζ6−2ζ22ζ2000000000000000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i2i−2i2i-22-222i−2i2i−2i−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ20000000000000000000000002ζ6−2ζ62ζ2−2ζ2000000000000000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2222i−2i2i−2i2-2-222i−2i−2i2i0000000000000000000000000000000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2222i−2i2i−2i2-2-222i−2i−2i2i000000000000000000000000000000000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2222i−2i2i−2i-222-2−2i2i2i−2i0000000000002-2-220000−2i2i2i−2i000000000000000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-2222i−2i2i−2i-222-2−2i2i2i−2i000000000000-222-200002i−2i−2i2i000000000000000000000000000000000000
χ5722-2-222-2-22222-2-2-2-22-22-2-2-222000000002-22-22-22-20000000000000000i2−i2i2−i2i2−i2i2−i200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ5822-2-222-2-22222-2-2-2-22-22-2-2-222000000002-22-22-22-20000000000000000−i2i2−i2i2−i2i2−i2i200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ5922-2-222-2-22222-2-2-2-22-22-2-2-22200000000-22-22-22-220000000000000000i2−i2i2−i2i2−i2i2−i200000000000000000000−i2i2−i2i2−i2i2−i2i2
χ6022-2-222-2-22222-2-2-2-22-22-2-2-22200000000-22-22-22-220000000000000000−i2i2−i2i2−i2i2−i2i200000000000000000000i2−i2i2−i2i2−i2i2−i2
χ6122-2-222-2-2-2-2-2-222222-22-222-2-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000i2−i2i2−i2−i2i2−i2i200000000000000000000−22−222−22−2
χ6222-2-222-2-2-2-2-2-222222-22-222-2-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000−i2i2−i2i2i2−i2i2−i2000000000000000000002−22−2−22−22
χ6322-2-222-2-2-2-2-2-222222-22-222-2-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000i2−i2i2−i2−i2i2−i2i2000000000000000000002−22−2−22−22
χ6422-2-222-2-2-2-2-2-222222-22-222-2-200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−i2i2−i2i2i2−i2i2−i200000000000000000000−22−222−22−2
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2-22−2i2i2i−2i000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000i2−i2−i2i2−222−200000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2-22−2i2i2i−2i000000002ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000−i2i2i2−i22−2−22000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2-22−2i2i2i−2i00000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000i2−i2−i2i2−222−2000000000000000000001−i−1+i−1+i1−i1+i−1−i−1−i1+i
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i2-2-22−2i2i2i−2i00000000−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000−i2i2i2−i22−2−2200000000000000000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-2-222i−2i−2i2i000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000i2−i2−i2i22−2−2200000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-2-222i−2i−2i2i000000002ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000−i2i2i2−i2−222−2000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ7122-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-2-222i−2i−2i2i00000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000i2−i2−i2i22−2−22000000000000000000001+i−1−i−1−i1+i1−i−1+i−1+i1−i
χ7222-2-2-2-222−2i−2i2i2i2i2i−2i−2i2-2-222i−2i−2i2i00000000−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000−i2i2i2−i2−222−200000000000000000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i
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χ814-44-4−4i4i−4i4i4ζ6−4ζ64ζ2−4ζ24ζ6−4ζ64ζ2−4ζ20000000000000000000000002-2−2i2i00002ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000
χ824-44-4−4i4i−4i4i4ζ6−4ζ64ζ2−4ζ24ζ6−4ζ64ζ2−4ζ2000000000000000000000000-222i−2i0000−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000
χ834-44-4−4i4i−4i4i−4ζ64ζ6−4ζ24ζ2−4ζ64ζ6−4ζ24ζ20000000000000000000000002-2−2i2i0000−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000
χ844-44-4−4i4i−4i4i−4ζ64ζ6−4ζ24ζ2−4ζ64ζ6−4ζ24ζ2000000000000000000000000-222i−2i00002ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000
χ854-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ60000000000000000000000000000000000000000000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ700000000
χ864-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ6000000000000000000000000000000000000000000000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ700000000
χ874-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ60000000000000000000000000000000000000000000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ300000000
χ884-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ6000000000000000000000000000000000000000000000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ300000000
χ894-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ20000000000000000000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ500000000
χ904-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ2000000000000000000000000000000000000000000000000000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ500000000
χ914-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ20000000000000000000000000000000000000000000000000000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ00000000
χ924-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ2000000000000000000000000000000000000000000000000000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ00000000

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