Finite Group Databasebeta

← Group #93009

Character table — Group #93009

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11111111111111112222222244444444444444448888888888888888888888888888888888888888888888888888
order1222444488888888224488882222444488888888444444444488888888881616161616161616161616161616161616161616161616161616161616161616
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i11iiii−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i11iiii−i−i−i−i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−iiiiiiiii
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii11−i−i−i−iiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiii11−i−i−i−iiiii-1-1-1-1-1-1-1-111111111iiiiiiii−i−i−i−i−i−i−i−i
χ911111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i
χ1011111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii
χ1111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii
χ1211111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i
χ1311111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1
χ1411111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111iiii−i−i−i−i-1-1−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111
χ1511111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111
χ1611111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111−i−i−i−iiiii-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1
χ171111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−iii−i−i1-1ii−i−iii−i−ii−i11-1-111-1-1ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ181111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−iii−i−i1-1ii−i−iii−i−ii−i11-1-111-1-1−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ191111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−iii−i−i1-1−i−iii−i−iiii−i-1-111-1-111ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2
χ201111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i11-1-1-1-111ii−i−iii−i−i1-1−i−iii−i−iiii−i-1-111-1-111−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2
χ211111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-11111-1-1−i−iii−i−iii1-111-1-1-1-111i−i−i−iiiii−i−iζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6
χ221111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-11111-1-1−i−iii−i−iii1-111-1-1-1-111i−i−i−iiiii−i−i−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6
χ231111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-11111-1-1−i−iii−i−iii1-1-1-11111-1-1i−iii−i−i−i−iiiζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6
χ241111-1-1-1-1ii−i−iii−i−i11-1-1ii−i−i-1-11111-1-1−i−iii−i−iii1-1-1-11111-1-1i−iii−i−i−i−iii−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6
χ251111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111−i−iii−i−iii1-1ii−i−iii−i−i−ii-1-111-1-111ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ261111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111−i−iii−i−iii1-1ii−i−iii−i−i−ii-1-111-1-111−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ271111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111−i−iii−i−iii1-1−i−iii−i−iii−ii11-1-111-1-1ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6
χ281111-1-1-1-1−i−iii−i−iii11-1-1−i−iii11-1-1-1-111−i−iii−i−iii1-1−i−iii−i−iii−ii11-1-111-1-1−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6
χ291111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-11111-1-1ii−i−iii−i−i1-111-1-1-1-111−iiii−i−i−i−iiiζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2
χ301111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-11111-1-1ii−i−iii−i−i1-111-1-1-1-111−iiii−i−i−i−iii−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2
χ311111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-11111-1-1ii−i−iii−i−i1-1-1-11111-1-1−ii−i−iiiii−i−iζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2
χ321111-1-1-1-1−i−iii−i−iii11-1-1−i−iii-1-11111-1-1ii−i−iii−i−i1-1-1-11111-1-1−ii−i−iiiii−i−i−ζ6−ζ6ζ6ζ6−ζ2−ζ2ζ2ζ2ζ6ζ6−ζ6−ζ6ζ2ζ2−ζ2−ζ2ζ6ζ6−ζ6−ζ6−ζ2−ζ2ζ2ζ2−ζ6−ζ6ζ6ζ6ζ2ζ2−ζ2−ζ2
χ3322222222222222222222222222-2-222-2-2-2-2-2-22222-2-200000000-2-20000000000000000000000000000000000000000
χ34222222222222222222222222-2-222-2-2222222-2-2-2-2-2-200000000-2-20000000000000000000000000000000000000000
χ3522222222-2-2-2-2-2-2-2-22222-2-2-2-222-2-222-2-22222-2-2-2-2-2-200000000220000000000000000000000000000000000000000
χ3622222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-222-2-222-2-2-2-22222-2-200000000220000000000000000000000000000000000000000
χ372222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i2222-2-2-2-2−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i0000000000000000000000000000000000000000
χ382222-2-2-2-22i2i−2i−2i2i2i−2i−2i22-2-22i2i−2i−2i-2-2-2-222222i2i−2i−2i−2i−2i2i2i-2200000000−2i2i0000000000000000000000000000000000000000
χ392222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i2222-2-2-2-22i2i−2i−2i−2i−2i2i2i-22000000002i−2i0000000000000000000000000000000000000000
χ402222-2-2-2-2−2i−2i2i2i−2i−2i2i2i22-2-2−2i−2i2i2i-2-2-2-22222−2i−2i2i2i2i2i−2i−2i-22000000002i−2i0000000000000000000000000000000000000000
χ4122-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22i−2i2ζ2−2ζ22ζ6−2ζ6002-2002i−2i2ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5
χ4222-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22i−2i2ζ2−2ζ22ζ6−2ζ6002-2002i−2i2ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5
χ4322-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22i−2i2ζ2−2ζ22ζ6−2ζ600-2200−2i2i−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5
χ4422-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62-22i−2i2ζ2−2ζ22ζ6−2ζ600-2200−2i2i−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5
χ4522-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22−2i2i−2ζ22ζ2−2ζ62ζ62-2002i−2i0000002ζ2−2ζ22ζ6−2ζ6001+i−1−i1−i−1+i1+i−1−i1−i−1+i002−2i2−i22−2i2−i200000000000000000000000000000000
χ4622-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22−2i2i−2ζ22ζ2−2ζ62ζ62-2002i−2i0000002ζ2−2ζ22ζ6−2ζ600−1−i1+i−1+i1−i−1−i1+i−1+i1−i00−22−i2i2−22−i2i200000000000000000000000000000000
χ4722-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22−2i2i−2ζ22ζ2−2ζ62ζ6-2200−2i2i000000−2ζ22ζ2−2ζ62ζ6001−i−1+i−1−i1+i−1+i1−i1+i−1−i00−i2i22−2i2−i2−2200000000000000000000000000000000
χ4822-2-22i−2i2i−2i2ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22ζ6−2ζ6-22−2i2i−2ζ22ζ2−2ζ62ζ6-2200−2i2i000000−2ζ22ζ2−2ζ62ζ600−1+i1−i1+i−1−i1−i−1+i−1−i1+i00i2−i2−22−i2i22−200000000000000000000000000000000
χ4922-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22i−2i−2ζ22ζ2−2ζ62ζ6002-2002i−2i−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5
χ5022-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22i−2i−2ζ22ζ2−2ζ62ζ6002-2002i−2i−2ζ62ζ6−2ζ22ζ20000000000000000000000000000000000000000−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5
χ5122-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22i−2i−2ζ22ζ2−2ζ62ζ600-2200−2i2i2ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5
χ5222-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ62-22i−2i−2ζ22ζ2−2ζ62ζ600-2200−2i2i2ζ6−2ζ62ζ2−2ζ20000000000000000000000000000000000000000−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5
χ5322-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6-22−2i2i2ζ2−2ζ22ζ6−2ζ62-2002i−2i000000−2ζ22ζ2−2ζ62ζ6001+i−1−i1−i−1+i1+i−1−i1−i−1+i00−22−i2i2−22−i2i200000000000000000000000000000000
χ5422-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6-22−2i2i2ζ2−2ζ22ζ6−2ζ62-2002i−2i000000−2ζ22ζ2−2ζ62ζ600−1−i1+i−1+i1−i−1−i1+i−1+i1−i002−2i2−i22−2i2−i200000000000000000000000000000000
χ5522-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6-22−2i2i2ζ2−2ζ22ζ6−2ζ6-2200−2i2i0000002ζ2−2ζ22ζ6−2ζ6001−i−1+i−1−i1+i−1+i1−i1+i−1−i00i2−i2−22−i2i22−200000000000000000000000000000000
χ5622-2-22i−2i2i−2i−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6-22−2i2i2ζ2−2ζ22ζ6−2ζ6-2200−2i2i0000002ζ2−2ζ22ζ6−2ζ600−1+i1−i1+i−1−i1−i−1+i−1−i1+i00−i2i22−2i2−i2−2200000000000000000000000000000000
χ5722-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22-2−2i2i2ζ6−2ζ62ζ2−2ζ2002-200−2i2i2ζ2−2ζ22ζ6−2ζ60000000000000000000000000000000000000000ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7
χ5822-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22-2−2i2i2ζ6−2ζ62ζ2−2ζ2002-200−2i2i2ζ2−2ζ22ζ6−2ζ60000000000000000000000000000000000000000−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7
χ5922-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22-2−2i2i2ζ6−2ζ62ζ2−2ζ200-22002i−2i−2ζ22ζ2−2ζ62ζ60000000000000000000000000000000000000000ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7
χ6022-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ22-2−2i2i2ζ6−2ζ62ζ2−2ζ200-22002i−2i−2ζ22ζ2−2ζ62ζ60000000000000000000000000000000000000000−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7
χ6122-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2-222i−2i−2ζ62ζ6−2ζ22ζ22-200−2i2i0000002ζ6−2ζ62ζ2−2ζ2001−i−1+i1+i−1−i1−i−1+i1+i−1−i00−22i2−i2−22i2−i200000000000000000000000000000000
χ6222-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2-222i−2i−2ζ62ζ6−2ζ22ζ22-200−2i2i0000002ζ6−2ζ62ζ2−2ζ200−1+i1−i−1−i1+i−1+i1−i−1−i1+i002−2−i2i22−2−i2i200000000000000000000000000000000
χ6322-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2-222i−2i−2ζ62ζ6−2ζ22ζ2-22002i−2i000000−2ζ62ζ6−2ζ22ζ2001+i−1−i−1+i1−i−1−i1+i1−i−1+i00−i2i2−22i2−i22−200000000000000000000000000000000
χ6422-2-2−2i2i−2i2i2ζ6−2ζ62ζ2−2ζ22ζ6−2ζ62ζ2−2ζ2-222i−2i−2ζ62ζ6−2ζ22ζ2-22002i−2i000000−2ζ62ζ6−2ζ22ζ200−1−i1+i1−i−1+i1+i−1−i−1+i1−i00i2−i22−2−i2i2−2200000000000000000000000000000000
χ6522-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22-2−2i2i−2ζ62ζ6−2ζ22ζ2002-200−2i2i−2ζ22ζ2−2ζ62ζ60000000000000000000000000000000000000000ζ−ζ5−ζ+ζ5−ζ−ζ5ζ+ζ5ζ3−ζ7−ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ−ζ5ζ+ζ5ζ−ζ5−ζ+ζ5−ζ3−ζ7ζ3+ζ7ζ3−ζ7−ζ3+ζ7
χ6622-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22-2−2i2i−2ζ62ζ6−2ζ22ζ2002-200−2i2i−2ζ22ζ2−2ζ62ζ60000000000000000000000000000000000000000−ζ+ζ5ζ−ζ5ζ+ζ5−ζ−ζ5−ζ3+ζ7ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ+ζ5−ζ−ζ5−ζ+ζ5ζ−ζ5ζ3+ζ7−ζ3−ζ7−ζ3+ζ7ζ3−ζ7
χ6722-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22-2−2i2i−2ζ62ζ6−2ζ22ζ200-22002i−2i2ζ2−2ζ22ζ6−2ζ60000000000000000000000000000000000000000ζ+ζ5−ζ−ζ5ζ−ζ5−ζ+ζ5ζ3+ζ7−ζ3−ζ7ζ3−ζ7−ζ3+ζ7−ζ+ζ5ζ−ζ5−ζ−ζ5ζ+ζ5−ζ3+ζ7ζ3−ζ7−ζ3−ζ7ζ3+ζ7
χ6822-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ22-2−2i2i−2ζ62ζ6−2ζ22ζ200-22002i−2i2ζ2−2ζ22ζ6−2ζ60000000000000000000000000000000000000000−ζ−ζ5ζ+ζ5−ζ+ζ5ζ−ζ5−ζ3−ζ7ζ3+ζ7−ζ3+ζ7ζ3−ζ7ζ−ζ5−ζ+ζ5ζ+ζ5−ζ−ζ5ζ3−ζ7−ζ3+ζ7ζ3+ζ7−ζ3−ζ7
χ6922-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2-222i−2i2ζ6−2ζ62ζ2−2ζ22-200−2i2i000000−2ζ62ζ6−2ζ22ζ2001−i−1+i1+i−1−i1−i−1+i1+i−1−i002−2−i2i22−2−i2i200000000000000000000000000000000
χ7022-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2-222i−2i2ζ6−2ζ62ζ2−2ζ22-200−2i2i000000−2ζ62ζ6−2ζ22ζ200−1+i1−i−1−i1+i−1+i1−i−1−i1+i00−22i2−i2−22i2−i200000000000000000000000000000000
χ7122-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2-222i−2i2ζ6−2ζ62ζ2−2ζ2-22002i−2i0000002ζ6−2ζ62ζ2−2ζ2001+i−1−i−1+i1−i−1−i1+i1−i−1+i00i2−i22−2−i2i2−2200000000000000000000000000000000
χ7222-2-2−2i2i−2i2i−2ζ62ζ6−2ζ22ζ2−2ζ62ζ6−2ζ22ζ2-222i−2i2ζ6−2ζ62ζ2−2ζ2-22002i−2i0000002ζ6−2ζ62ζ2−2ζ200−1−i1+i1−i−1+i1+i−1−i−1+i1−i00−i2i2−22i2−i22−200000000000000000000000000000000
χ734444444444444444-4-4-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000
χ7444444444-4-4-4-4-4-4-4-4-4-4-4-4444400000000000000000000000000000000000000000000000000000000000000000000
χ754444-4-4-4-44i4i−4i−4i4i4i−4i−4i-4-444−4i−4i4i4i00000000000000000000000000000000000000000000000000000000000000000000
χ764444-4-4-4-4−4i−4i4i4i−4i−4i4i4i-4-4444i4i−4i−4i00000000000000000000000000000000000000000000000000000000000000000000
χ774-44-44i−4i−4i4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ2000000000000000000000000000000000000000000002ζ7−2ζ72ζ3−2ζ32ζ5−2ζ52ζ−2ζ000000000000000000000000
χ784-44-44i−4i−4i4i4ζ6−4ζ64ζ2−4ζ2−4ζ64ζ6−4ζ24ζ200000000000000000000000000000000000000000000−2ζ72ζ7−2ζ32ζ3−2ζ52ζ5−2ζ2ζ000000000000000000000000
χ794-44-44i−4i−4i4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ2000000000000000000000000000000000000000000002ζ3−2ζ3−2ζ72ζ7−2ζ2ζ2ζ5−2ζ5000000000000000000000000
χ804-44-44i−4i−4i4i−4ζ64ζ6−4ζ24ζ24ζ6−4ζ64ζ2−4ζ200000000000000000000000000000000000000000000−2ζ32ζ32ζ7−2ζ72ζ−2ζ−2ζ52ζ5000000000000000000000000
χ814-44-4−4i4i4i−4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ6000000000000000000000000000000000000000000002ζ5−2ζ5−2ζ2ζ−2ζ72ζ72ζ3−2ζ3000000000000000000000000
χ824-44-4−4i4i4i−4i4ζ2−4ζ24ζ6−4ζ6−4ζ24ζ2−4ζ64ζ600000000000000000000000000000000000000000000−2ζ52ζ52ζ−2ζ2ζ7−2ζ7−2ζ32ζ3000000000000000000000000
χ834-44-4−4i4i4i−4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ6000000000000000000000000000000000000000000002ζ−2ζ2ζ5−2ζ52ζ3−2ζ32ζ7−2ζ7000000000000000000000000
χ844-44-4−4i4i4i−4i−4ζ24ζ2−4ζ64ζ64ζ2−4ζ24ζ6−4ζ600000000000000000000000000000000000000000000−2ζ2ζ−2ζ52ζ5−2ζ32ζ3−2ζ72ζ7000000000000000000000000
χ854-4-4444-4-44i4i−4i−4i−4i−4i4i4i00000000000000000000000000000000000000000000000000002ζ6−2ζ62ζ6−2ζ62ζ2−2ζ22ζ2−2ζ20000000000000000
χ864-4-4444-4-44i4i−4i−4i−4i−4i4i4i0000000000000000000000000000000000000000000000000000−2ζ62ζ6−2ζ62ζ6−2ζ22ζ2−2ζ22ζ20000000000000000
χ874-4-4444-4-4−4i−4i4i4i4i4i−4i−4i00000000000000000000000000000000000000000000000000002ζ2−2ζ22ζ2−2ζ22ζ6−2ζ62ζ6−2ζ60000000000000000
χ884-4-4444-4-4−4i−4i4i4i4i4i−4i−4i0000000000000000000000000000000000000000000000000000−2ζ22ζ2−2ζ22ζ2−2ζ62ζ6−2ζ62ζ60000000000000000
χ894-4-44-4-4444444-4-4-4-400000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ904-4-44-4-4444444-4-4-4-40000000000000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ914-4-44-4-444-4-4-4-4444400000000000000000000000000000000000000000000000000002-2-222-2-220000000000000000
χ924-4-44-4-444-4-4-4-444440000000000000000000000000000000000000000000000000000-222-2-222-20000000000000000

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