Finite Group Databasebeta

← Group #136649

Character table — Group #136649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order122244448888888822444444888888884488888888888888888816161616161616161616161616161616224488881616161616161616161616161616161616161616161616164488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1
χ1311111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-1-111
χ1411111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiiiiiii−i−i−i−i11-1-1
χ1511111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-1
χ1611111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-1-111
χ171111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i1111-1-1-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i
χ181111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i1111-1-1-1-1iiii−i−i−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii
χ191111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii
χ201111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i1111-1-1-1-1iiii−i−i−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i
χ211111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i-1-1-1-11111−i−i−i−iiiiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ611-1-1ii−i−iζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-11−ii
χ221111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i-1-1-1-11111−i−i−i−iiiiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6-1-111−i−iiiζ2−ζ2ζ6−ζ6−ζ2ζ2−ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ61-1i−i
χ231111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i-1-1-1-11111−i−i−i−iiiii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-1-111−i−iii−ζ2ζ2−ζ6ζ6ζ2−ζ2ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ61-1i−i
χ241111-1-1-1-1ii−i−iii−i−i-1-11111-1-1i−iii−i−ii−i1-1i−i-1-1-1-11111−i−i−i−iiiii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ611-1-1ii−i−i−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6-11−ii
χ251111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii1111-1-1-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii
χ261111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii1111-1-1-1-1−i−i−i−iiiiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i
χ271111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i
χ281111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii1111-1-1-1-1−i−i−i−iiiii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii
χ291111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii-1-1-1-11111iiii−i−i−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ211-1-1−i−iiiζ6−ζ6ζ2−ζ2ζ6−ζ6ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-11i−i
χ301111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii-1-1-1-11111iiii−i−i−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2-1-111ii−i−iζ6−ζ6ζ2−ζ2−ζ6ζ6−ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ21-1−ii
χ311111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii-1-1-1-11111iiii−i−i−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-1-111ii−i−i−ζ6ζ6−ζ2ζ2ζ6−ζ6ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ21-1−ii
χ321111-1-1-1-1−i−iii−i−iii-1-11111-1-1−ii−i−iii−ii1-1−ii-1-1-1-11111iiii−i−i−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ211-1-1−i−iii−ζ6ζ6−ζ2ζ2−ζ6ζ6−ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2-11i−i
χ3322222222222222222222-2-2-2-222-2-2-2-222-2-2-2-20000000000000000222222220000000000000000-2-2-2-2000000000000000000000000
χ3422222222222222222222-2-2-2-222-2-2-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000000000
χ352222222222222222-2-2-2-22222-2-22222-2-2-2-2-2-200000000000000000000000022222222000000000000-2-2-2-200000000000000000000
χ362222222222222222-2-2-2-22222-2-22222-2-2-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-2000000000000222200000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002-22-22-22-20000000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000-22-22-22-220000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22200000000000000002i2i2i2i−2i−2i−2i−2i0000000000000000−2i−2i2i2i000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i00000000000000002i2i−2i−2i000000000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2220000000000000000000000002i2i2i2i−2i−2i−2i−2i000000000000−2i−2i2i2i00000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-222-2-222000000000000000000000000−2i−2i−2i−2i2i2i2i2i0000000000002i2i−2i−2i00000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2000000000000000000000000000000002-22-2-22-220000000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-200000000000000000000000000000000-22-222-22-20000000000000000000000000000
χ452222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-2−2i2i2i2i−2i−2i−2i2i-22−2i2i0000000000000000000000002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ6000000000000−2ζ22ζ2−2ζ62ζ600000000000000000000
χ462222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-222-2-2−2i2i2i2i−2i−2i−2i2i-22−2i2i000000000000000000000000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ60000000000002ζ2−2ζ22ζ6−2ζ600000000000000000000
χ472222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2-2-222−2i2i−2i−2i2i2i−2i2i2-22i−2i000000000000000000000000000000002-2-222i−2i−2i2i0000000000000000000000000000
χ482222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-2-2-222−2i2i−2i−2i2i2i−2i2i2-22i−2i00000000000000000000000000000000-222-2−2i2i2i−2i0000000000000000000000000000
χ492222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-2-2222i−2i−2i−2i2i2i2i−2i-22−2i2i00000000000000002ζ22ζ2−2ζ2−2ζ22ζ62ζ6−2ζ6−2ζ60000000000000000−2ζ22ζ2−2ζ62ζ6000000000000000000000000
χ502222-2-2-2-22i2i−2i−2i2i2i−2i−2i-2-222-2-2222i−2i−2i−2i2i2i2i−2i-22−2i2i0000000000000000−2ζ2−2ζ22ζ22ζ2−2ζ6−2ζ62ζ62ζ600000000000000002ζ2−2ζ22ζ6−2ζ6000000000000000000000000
χ512222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-22i−2i−2i−2i2i2i2i−2i-222i−2i0000000000000000000000002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ2000000000000−2ζ62ζ6−2ζ22ζ200000000000000000000
χ522222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-222-2-22i−2i−2i−2i2i2i2i−2i-222i−2i000000000000000000000000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ20000000000002ζ6−2ζ62ζ2−2ζ200000000000000000000
χ532222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2-2-2222i−2i2i2i−2i−2i2i−2i2-2−2i2i000000000000000000000000000000002-2-22−2i2i2i−2i0000000000000000000000000000
χ542222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2-2-2222i−2i2i2i−2i−2i2i−2i2-2−2i2i00000000000000000000000000000000-222-22i−2i−2i2i0000000000000000000000000000
χ552222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-2-222−2i2i2i2i−2i−2i−2i2i-222i−2i00000000000000002ζ62ζ6−2ζ6−2ζ62ζ22ζ2−2ζ2−2ζ20000000000000000−2ζ62ζ6−2ζ22ζ2000000000000000000000000
χ562222-2-2-2-2−2i−2i2i2i−2i−2i2i2i-2-222-2-222−2i2i2i2i−2i−2i−2i2i-222i−2i0000000000000000−2ζ6−2ζ62ζ62ζ6−2ζ2−2ζ22ζ22ζ200000000000000002ζ6−2ζ62ζ2−2ζ2000000000000000000000000
χ5722-2-222-2-22222-2-2-2-22-22-20000-2-20000220000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i22i−2i2i−2i2i−2i2i−2i0000000000000000000000002−22−22−22−2000000000000
χ5822-2-222-2-22222-2-2-2-22-22-20000-2-20000220000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2i−2i2i−2i2i−2i2i000000000000000000000000−22−22−22−22000000000000
χ5922-2-222-2-22222-2-2-2-22-22-20000-2-20000220000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i−2i2i−2i2i−2i2i−2i000000000000000000000000−22−22−22−22000000000000
χ6022-2-222-2-22222-2-2-2-22-22-20000-2-20000220000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−2i2i−2i2i−2i2i−2i2i0000000000000000000000002−22−22−22−2000000000000
χ6122-2-222-2-2-2-2-2-222222-22-20000220000-2-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i22-22-2-22-22000000000000000000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ6222-2-222-2-2-2-2-2-222222-22-20000220000-2-20000i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2-22-222-22-2000000000000000000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ6322-2-222-2-2-2-2-2-222222-22-20000220000-2-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i22-22-2-22-22000000000000000000000000i2−i2i2−i2−i2i2−i2i2000000000000
χ6422-2-222-2-2-2-2-2-222222-22-20000220000-2-20000−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2-22-222-22-2000000000000000000000000−i2i2−i2i2i2−i2i2−i2000000000000
χ6522-2-2-2-2222i2i−2i−2i−2i−2i2i2i-222-20000−2i2i00002i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−22ζ6−2ζ6−2ζ62ζ6−2ζ22ζ22ζ2−2ζ20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ6622-2-2-2-2222i2i−2i−2i−2i−2i2i2i-222-20000−2i2i00002i−2i0000i2i2−i2−i2−i2−i2i2i2−2−22222−2−2−2ζ62ζ62ζ6−2ζ62ζ2−2ζ2−2ζ22ζ2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ6722-2-2-2-2222i2i−2i−2i−2i−2i2i2i-222-20000−2i2i00002i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−2222ζ6−2ζ6−2ζ62ζ6−2ζ22ζ22ζ2−2ζ2000000000000000000000000−1−i1+i1+i−1−i1−i−1+i−1+i1−i000000000000
χ6822-2-2-2-2222i2i−2i−2i−2i−2i2i2i-222-20000−2i2i00002i−2i0000−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2ζ62ζ62ζ6−2ζ62ζ2−2ζ2−2ζ22ζ20000000000000000000000001+i−1−i−1−i1+i−1+i1−i1−i−1+i000000000000
χ6922-2-2-2-222−2i−2i2i2i2i2i−2i−2i-222-200002i−2i0000−2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−2222ζ2−2ζ2−2ζ22ζ2−2ζ62ζ62ζ6−2ζ60000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ7022-2-2-2-222−2i−2i2i2i2i2i−2i−2i-222-200002i−2i0000−2i2i0000i2i2−i2−i2−i2−i2i2i222−2−2−2−222−2ζ22ζ22ζ2−2ζ22ζ6−2ζ6−2ζ62ζ6000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ7122-2-2-2-222−2i−2i2i2i2i2i−2i−2i-222-200002i−2i0000−2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−22ζ2−2ζ2−2ζ22ζ2−2ζ62ζ62ζ6−2ζ6000000000000000000000000−1+i1−i1−i−1+i1+i−1−i−1−i1+i000000000000
χ7222-2-2-2-222−2i−2i2i2i2i2i−2i−2i-222-200002i−2i0000−2i2i0000−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−2ζ22ζ22ζ2−2ζ22ζ6−2ζ6−2ζ62ζ60000000000000000000000001−i−1+i−1+i1−i−1−i1+i1+i−1−i000000000000
χ732-22-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i002ζ2−2ζ22ζ6−2ζ6000000i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ50000
χ742-22-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i002ζ2−2ζ22ζ6−2ζ6000000i2−i2i2−i22−22−21−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ50000
χ752-22-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i002ζ2−2ζ22ζ6−2ζ6000000−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ50000
χ762-22-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ600002-22i−2i002ζ2−2ζ22ζ6−2ζ6000000−i2i2−i2i2−22−22−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ50000
χ772-22-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i00−2ζ22ζ2−2ζ62ζ6000000i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ50000
χ782-22-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i00−2ζ22ζ2−2ζ62ζ6000000i2−i2i2−i22−22−2−1+i1−i−1+i1−i−1−i1+i−1−i1+i00000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ50000
χ792-22-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i00−2ζ22ζ2−2ζ62ζ6000000−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ50000
χ802-22-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ600002-22i−2i00−2ζ22ζ2−2ζ62ζ6000000−i2i2−i2i2−22−221−i−1+i1−i−1+i1+i−1−i1+i−1−i00000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ50000
χ812-22-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i002ζ6−2ζ62ζ2−2ζ2000000i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ70000
χ822-22-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i002ζ6−2ζ62ζ2−2ζ2000000i2−i2i2−i2−22−221+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ70000
χ832-22-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i002ζ6−2ζ62ζ2−2ζ2000000−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ70000
χ842-22-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ200002-2−2i2i002ζ6−2ζ62ζ2−2ζ2000000−i2i2−i2i22−22−2−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ70000
χ852-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i00−2ζ62ζ6−2ζ22ζ2000000i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ70000
χ862-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i00−2ζ62ζ6−2ζ22ζ2000000i2−i2i2−i2−22−22−1−i1+i−1−i1+i−1+i1−i−1+i1−i00000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ70000
χ872-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i00−2ζ62ζ6−2ζ22ζ2000000−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ70000
χ882-22-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ200002-2−2i2i00−2ζ62ζ6−2ζ22ζ2000000−i2i2−i2i22−22−21+i−1−i1+i−1−i1−i−1+i1−i−1+i00000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ70000
χ8944-4-444-4-44444-4-4-4-4-44-440000440000-4-4000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-444-4-4-4-4-4-44444-44-440000-4-4000044000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-4-4-4444i4i−4i−4i−4i−4i4i4i4-4-4400004i−4i0000−4i4i000000000000000000000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-444−4i−4i4i4i4i4i−4i−4i4-4-440000−4i4i00004i−4i000000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-44i−4i4i−4i4ζ2−4ζ24ζ6−4ζ64ζ2−4ζ24ζ6−4ζ60000-44−4i4i00−4ζ24ζ2−4ζ64ζ600000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-44i−4i4i−4i−4ζ24ζ2−4ζ64ζ6−4ζ24ζ2−4ζ64ζ60000-44−4i4i004ζ2−4ζ24ζ6−4ζ600000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i4ζ6−4ζ64ζ2−4ζ24ζ6−4ζ64ζ2−4ζ20000-444i−4i00−4ζ64ζ6−4ζ24ζ200000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i−4ζ64ζ6−4ζ24ζ2−4ζ64ζ6−4ζ24ζ20000-444i−4i004ζ6−4ζ64ζ2−4ζ200000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ6000000000000000000002-2-22−2i2i2i−2i−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ600000000000000000000-222-22i−2i−2i2i2ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ6000000000000000000002-2-22−2i2i2i−2i2ζ2−2ζ2−2ζ22ζ22ζ6−2ζ6−2ζ62ζ60000000000000000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ600000000000000000000-222-22i−2i−2i2i−2ζ22ζ22ζ2−2ζ2−2ζ62ζ62ζ6−2ζ60000000000000000000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ2000000000000000000002-2-222i−2i−2i2i−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ200000000000000000000-222-2−2i2i2i−2i2ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ2000000000000000000002-2-222i−2i−2i2i2ζ6−2ζ6−2ζ62ζ62ζ2−2ζ2−2ζ22ζ20000000000000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ200000000000000000000-222-2−2i2i2i−2i−2ζ62ζ62ζ6−2ζ6−2ζ22ζ22ζ2−2ζ20000000000000000000000000000000000000000000000000000

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