Finite Group Databasebeta

← Group #13166403

Character table — Group #13166403

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222244444444446666888888888888888888889999181818181818181818181818181824242424242424242727272727272727363636363636363636365454545454545454
order1244234612123366612121212122244336666666612121212121212121212888888161616161616161624242424666612121212161616161616161624244848484848484848888816161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111111111iiii−i−i−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111111111−i−i−i−iiiii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ511111111111111111111-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1−i−i−i−iiiii1111ii−i−i
χ91111-11-111111-111-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-1111111-1-111-1-111111111-1-111-1-111-1-111-1-1-1-1-1-1
χ101111-11-111111-111-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111
χ111111-11-111111-111-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-111-1-111-1-1iiii−i−i−i−i11ii−i−i−i−iii-1-111−i−iii
χ121111-11-111111-111-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-111-1-111-1-1−i−i−i−iiiii11−i−iiiii−i−i-1-111ii−i−i
χ131111-11-111111-111-11111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111
χ141111-11-111111-111-11111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-111-1-11111111111-1-1-1-111-1-111-1-111-1-1-1-1
χ151111-11-111111-111-11111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-1-111-1-111−i−i−i−iiiii11ii−i−i−i−iii11-1-1ii−i−i
χ161111-11-111111-111-11111-11-1111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-1-111-1-111iiii−i−i−i−i11−i−iiiii−i−i11-1-1−i−iii
χ1711-1-111-11-1-111111-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−iζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ii−i−i11-1-1-1-111ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−iζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26i−ii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ1811-1-111-11-1-111111-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ii−i−i11-1-1-1-111−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−i−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26i−ii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ1911-1-111-11-1-111111-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−i−iii11-1-1-1-111−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ii−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ii−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2011-1-111-11-1-111111-1-1-1-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1−i−iii−iiζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−i−iii11-1-1-1-111ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−iiζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ii−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2111-1-111-11-1-111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−iζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ii−i−i-1-11111-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26i−iζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ii−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2211-1-111-11-1-111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1ii−i−ii−i−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ii−i−i-1-11111-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26i−i−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ii−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2311-1-111-11-1-111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−ii−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−i−iii-1-11111-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ii−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46i−ii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2411-1-111-11-1-111111-1-1-1-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1−i−iii−iiζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46−i−iii-1-11111-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−iiζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46i−ii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2511-1-1-1111-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ii−i−i1111-1-1-1-1ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26i−i−ii−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ2611-1-1-1111-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ii−i−i1111-1-1-1-1−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26i−i−iiζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ2711-1-1-1111-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iiii−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−i−iii1111-1-1-1-1−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−iii−iζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ2811-1-1-1111-1-111-1111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111−i−iiii−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−i−iii1111-1-1-1-1ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−iii−i−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ2911-1-1-1111-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ii−i−i-1-1-1-11111−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−iiζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26−iii−iζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26
χ3011-1-1-1111-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111ii−i−i−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ii−i−i-1-1-1-11111ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ii−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−iii−i−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26
χ3111-1-1-1111-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111−i−iiii−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−i−iii-1-1-1-11111ζ10+ζ26ζ10+ζ26−ζ10−ζ26−ζ10−ζ26−ζ14−ζ46−ζ14−ζ46ζ14+ζ46ζ14+ζ46i−i−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46i−i−ii−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46
χ3211-1-1-1111-1-111-1111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111−i−iiii−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46−i−iii-1-1-1-11111−ζ10−ζ26−ζ10−ζ26ζ10+ζ26ζ10+ζ26ζ14+ζ46ζ14+ζ46−ζ14−ζ46−ζ14−ζ46i−iζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46i−i−iiζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46
χ3322222-12-1-1-122-122-122220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122222222222222-1-1-1-10000000000000000-1-1-1-1-1-1-1-1-1-100000000
χ3422222-12-1-1-122-122-122220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-10000000000000000-1-11111111100000000
χ3522222-12-1-1-122-122-122220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-22i2i2i2i−2i−2i−2i−2i1111000000000000000011−i−i−i−iiiii00000000
χ3622222-12-1-1-122-122-122220000-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2−2i−2i−2i−2i2i2i2i2i1111000000000000000011iiii−i−i−i−i00000000
χ372222-2-1-2-1-1-122122122220000-1-1-2-21111-1-1-2-2-1-1-1-111112222-2-222-2-222-2-2-1-1-1-1000000000000000011-1-111-1-11100000000
χ382222-2-1-2-1-1-122122122220000-1-1-2-21111-1-1-2-2-1-1-1-111112222-2-2-2-222-2-222-1-1-1-100000000000000001111-1-111-1-100000000
χ392222-2-1-2-1-1-122122122220000-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-2222i2i−2i−2i−2i−2i2i2i11110000000000000000-1-1−i−iiiii−i−i00000000
χ402222-2-1-2-1-1-122122122220000-1-1-2-21111-1-1-2-2-1-1-1-11111-2-2-2-222−2i−2i2i2i2i2i−2i−2i11110000000000000000-1-1ii−i−i−i−iii00000000
χ4122-2-22-1-2-11122-1221-2-2-2-20000-1-122-1-1-1-1-1-1-2-2111111112i2i−2i−2i2i−2i2ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−i−iii0000000000000000−ii−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ46ζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ2600000000
χ4222-2-22-1-2-11122-1221-2-2-2-20000-1-122-1-1-1-1-1-1-2-2111111112i2i−2i−2i2i−2i−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−i−iii0000000000000000−iiζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ46−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ2600000000
χ4322-2-22-1-2-11122-1221-2-2-2-20000-1-122-1-1-1-1-1-1-2-211111111−2i−2i2i2i−2i2i−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ262ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ46ii−i−i0000000000000000i−iζ10+ζ26−ζ10−ζ26ζ10+ζ26−ζ10−ζ26−ζ14−ζ46ζ14+ζ46−ζ14−ζ46ζ14+ζ4600000000
χ4422-2-22-1-2-11122-1221-2-2-2-20000-1-122-1-1-1-1-1-1-2-211111111−2i−2i2i2i−2i2i2ζ10+2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ10−2ζ26−2ζ14−2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ14+2ζ46ii−i−i0000000000000000i−i−ζ10−ζ26ζ10+ζ26−ζ10−ζ26ζ10+ζ26ζ14+ζ46−ζ14−ζ46ζ14+ζ46−ζ14−ζ4600000000
χ4522-2-2-2-12-11122122-1-2-2-2-20000-1-1-2-21111-1-1221111-1-1-1-12i2i−2i−2i−2i2i2ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ26−i−iii0000000000000000i−i−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ46ζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ2600000000
χ4622-2-2-2-12-11122122-1-2-2-2-20000-1-1-2-21111-1-1221111-1-1-1-12i2i−2i−2i−2i2i−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ462ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ26−i−iii0000000000000000i−iζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ46−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ2600000000
χ4722-2-2-2-12-11122122-1-2-2-2-20000-1-1-2-21111-1-1221111-1-1-1-1−2i−2i2i2i2i−2i−2ζ10−2ζ262ζ10+2ζ262ζ10+2ζ26−2ζ10−2ζ262ζ14+2ζ46−2ζ14−2ζ46−2ζ14−2ζ462ζ14+2ζ46ii−i−i0000000000000000−iiζ10+ζ26−ζ10−ζ26−ζ10−ζ26ζ10+ζ26−ζ14−ζ46ζ14+ζ46ζ14+ζ46−ζ14−ζ4600000000
χ4822-2-2-2-12-11122122-1-2-2-2-20000-1-1-2-21111-1-1221111-1-1-1-1−2i−2i2i2i2i−2i2ζ10+2ζ26−2ζ10−2ζ26−2ζ10−2ζ262ζ10+2ζ26−2ζ14−2ζ462ζ14+2ζ462ζ14+2ζ46−2ζ14−2ζ46ii−i−i0000000000000000−ii−ζ10−ζ26ζ10+ζ26ζ10+ζ26−ζ10−ζ26ζ14+ζ46−ζ14−ζ46−ζ14−ζ46ζ14+ζ4600000000
χ492-22i−2i020-22i−2i220-2-202i2i−2i−2i000022000000-2-2002i2i−2i−2i00002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ26000000002ζ11+2ζ43−2ζ11−2ζ43−2ζ31−2ζ472ζ31+2ζ47−2ζ13−2ζ292ζ13+2ζ29−2ζ25−2ζ412ζ25+2ζ41000000000000000000
χ502-22i−2i020-22i−2i220-2-202i2i−2i−2i000022000000-2-2002i2i−2i−2i00002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000002ζ14+2ζ46−2ζ14−2ζ46−2ζ10−2ζ262ζ10+2ζ2600000000−2ζ11−2ζ432ζ11+2ζ432ζ31+2ζ47−2ζ31−2ζ472ζ13+2ζ29−2ζ13−2ζ292ζ25+2ζ41−2ζ25−2ζ41000000000000000000
χ512-22i−2i020-22i−2i220-2-202i2i−2i−2i000022000000-2-2002i2i−2i−2i0000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ260000000000−2ζ14−2ζ462ζ14+2ζ462ζ10+2ζ26−2ζ10−2ζ2600000000−2ζ31−2ζ472ζ31+2ζ47−2ζ11−2ζ432ζ11+2ζ432ζ25+2ζ41−2ζ25−2ζ41−2ζ13−2ζ292ζ13+2ζ29000000000000000000
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χ968-8−8i8i0-4044i−4i-4204-204i−2i−4i2i00002-100003i3−3i3-2100−2ii2i−i0033−330000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1); i = ζ12.