Finite Group Databasebeta

← Group #13181522

Character table — Group #13181522

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222224444444444444444444444444444448888888888888888888888888888888888889999181818181818181818182727272727272727363636363636545454545454545454545454
order1244222344461212333333666666666121212121212121212121212121212666666666666666666121212121212121212121212121212121212224422244466121288888888666121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1iiiiii−i−i−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−i−i−i−i−iiiiiii
χ511111-1-111-1-11111111111-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111111111111-1-11-1-111-1-1-1-111-1-1-1-1
χ611111-1-111-1-11111111111-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-11111-1-11111
χ711111-1-111-1-11111111111-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1iiii−i−i−i−i-111-111ii−i−i−i−i−i−iiiii
χ811111-1-111-1-11111111111-1-11111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1−i−i−i−iiiii-111-111−i−iiiiiii−i−i−i−i
χ91111-11-11-11-1111111111-11-1111111-11-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-1111111111111-11-1-11-1-1-111-1-1-1-111-1-1
χ101111-11-11-11-1111111111-11-1111111-11-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-11-1-11-11111-1-1-1-1-1-1-1-1-11-1-11-111-1-11111-1-111
χ111111-11-11-11-1111111111-11-1111111-11-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1iiii−i−i−i−i1-111-11−i−iii−i−iii−i−iii
χ121111-11-11-11-1111111111-11-1111111-11-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1−i−i−i−iiiii1-111-11ii−i−iii−i−iii−i−i
χ131111-1-111-1-11111111111-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-11111111111111-1-11-1-11-1-1-1-111-1-1-1-111
χ141111-1-111-1-11111111111-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-11-1-111111-1-11111-1-1
χ151111-1-111-1-11111111111-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1iiii−i−i−i−i11-111-1−i−i−i−iiiiiii−i−i
χ161111-1-111-1-11111111111-1-11111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-111-1-1-1-1-1−i−i−i−iiiii11-111-1iiii−i−i−i−i−i−iii
χ1711-1-111-11-1-111-1-111111111-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1111-1-1ii−i−iii−i−i11-1-1-11i−ii−ii−ii−ii−ii−i
χ1811-1-111-11-1-111-1-111111111-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1111-1-1−i−iii−i−iii11-1-1-11−ii−ii−ii−ii−ii−ii
χ1911-1-111-11-1-111-1-111111111-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-1-11111-1-1-1-111-1-1111-11-11-11-1-11-11-11
χ2011-1-111-11-1-111-1-111111111-1111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111-1-1-111-1-11111-1-1-1-1111-1-11-11-111-11-11-1
χ2111-1-11-111-11-11-1-11111111-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11-11-111-1-1ii−i−iii−i−i1-11-11-1i−i−ii−iii−i−ii−ii
χ2211-1-11-111-11-11-1-11111111-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-11-11-11-111-1-1−i−iii−i−iii1-11-11-1−iii−ii−i−iii−ii−i
χ2311-1-11-111-11-11-1-11111111-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11-1-11111-1-1-1-111-11-11-111-1-11-11-111-11-1
χ2411-1-11-111-11-11-1-11111111-11111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-11-11-11-1-111-1-11111-1-1-11-11-11-111-11-11-1-11-11
χ2511-1-1-11111-1-11-1-1111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1ii−i−iii−i−i-1111-1-1−iii−i−ii−iii−i−ii
χ2611-1-1-11111-1-11-1-1111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111-1-111-1-1−i−iii−i−iii-1111-1-1i−i−iii−ii−i−iii−i
χ2711-1-1-11111-1-11-1-1111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-11111-1-1-1-1111-1-1-111-111-1-111-1-111-1
χ2811-1-1-11111-1-11-1-1111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-111-1-111-1-11111-1-11-1-1-1111-1-111-1-111-1-11
χ2911-1-1-1-1-111111-1-1111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111111-1-1ii−i−iii−i−i-1-1-1111−ii−iii−i−ii−iii−i
χ3011-1-1-1-1-111111-1-1111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111111-1-1−i−iii−i−iii-1-1-1111i−ii−i−iii−ii−i−ii
χ3111-1-1-1-1-111111-1-1111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111-1-1-1-1-11111-1-1-1-111111-1-1-1-11-111-11-11-1-11
χ3211-1-1-1-1-111111-1-1111111-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111-1-1-1-1-111-1-11111-1-1111-1-1-11-11-1-11-11-111-1
χ332222222-1222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12222222222-1-1-1-100000000-1-1-1-1-1-1000000000000
χ342222222-1222-1-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-2-2111100000000111111000000000000
χ3522222-2-2-12-2-2-1-1-122-1-1-1-1-11122-1-1-1-1-1112222-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-21111-2-2111122222-2-22-2-2-1-1-1-100000000-111-111000000000000
χ3622222-2-2-12-2-2-1-1-122-1-1-1-1-11122-1-1-1-1-1112222-1-1-1-1-1-1-1-122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-21111-2-21111-2-2-2-2-222-2221111000000001-1-11-1-1000000000000
χ372222-22-2-1-22-2-1-1-122-1-1-1-11-1122-1-1-1-11-112222-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-211112222-22-2-22-2-1-1-1-1000000001-111-11000000000000
χ382222-22-2-1-22-2-1-1-122-1-1-1-11-1122-1-1-1-11-112222-1-1-1-1-1-1-1-1-2-2111122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-21111-2-2-2-22-222-22111100000000-11-1-11-1000000000000
χ392222-2-22-1-2-22-1-1-122-1-1-1-111-122-1-1-1-111-12222-1-1-1-1-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-21111-2-2111122-1-1-1-12222-2-22-2-22-1-1-1-10000000011-111-1000000000000
χ402222-2-22-1-2-22-1-1-122-1-1-1-111-122-1-1-1-111-12222-1-1-1-1-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-21111-2-2111122-1-1-1-1-2-2-2-222-222-2111100000000-1-11-1-11000000000000
χ4122-2-222-2-1-2-22-11122-1-1-1-1-1-1122-1-1-1-111-1-2-2-2-21111111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2111122-1-1-1-122-2-222-2-2-22-1-11100000000-1-1111-1000000000000
χ4222-2-222-2-1-2-22-11122-1-1-1-1-1-1122-1-1-1-111-1-2-2-2-21111111122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2111122-1-1-1-1-2-222-2-2222-211-1-10000000011-1-1-11000000000000
χ4322-2-22-22-1-22-2-11122-1-1-1-1-11-122-1-1-1-11-11-2-2-2-21111111122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-2-22-22-22-2-1-11100000000-11-11-11000000000000
χ4422-2-22-22-1-22-2-11122-1-1-1-1-11-122-1-1-1-11-11-2-2-2-21111111122-1-1-1-1-2-2111122-1-1-1-1-2-2111122-1-1-1-1-2-21111-2-222-22-22-2211-1-1000000001-11-11-1000000000000
χ4522-2-2-222-12-2-2-11122-1-1-1-11-1-122-1-1-1-1-111-2-2-2-211111111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-2111122-2-2-2222-2-2-1-111000000001-1-1-111000000000000
χ4622-2-2-222-12-2-2-11122-1-1-1-11-1-122-1-1-1-1-111-2-2-2-211111111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-1-2-21111-2-21111-2-2222-2-2-22211-1-100000000-1111-1-1000000000000
χ4722-2-2-2-2-2-1222-11122-1-1-1-111122-1-1-1-1-1-1-1-2-2-2-211111111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-122-2-2-2-2-2222-1-11100000000111-1-1-1000000000000
χ4822-2-2-2-2-2-1222-11122-1-1-1-111122-1-1-1-1-1-1-1-2-2-2-211111111-2-21111-2-21111-2-2111122-1-1-1-122-1-1-1-122-1-1-1-1-2-222222-2-2-211-1-100000000-1-1-1111000000000000
χ492-22i−2i0002000-22i−2i222222000-2-2-2-2-2-20002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000002-22i−2i0000002-22i−2i2ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ502-22i−2i0002000-22i−2i222222000-2-2-2-2-2-20002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000002-22i−2i0000002-22i−2i−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ512-22i−2i0002000-22i−2i222222000-2-2-2-2-2-20002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000-22−2i2i000000-22−2i2i−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ522-22i−2i0002000-22i−2i222222000-2-2-2-2-2-20002i2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000-22−2i2i000000-22−2i2i2ζ5+2ζ13−2ζ5−2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ532-2−2i2i0002000-2−2i2i222222000-2-2-2-2-2-2000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000002-2−2i2i0000002-2−2i2i−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ23000000000000000000
χ542-2−2i2i0002000-2−2i2i222222000-2-2-2-2-2-2000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000002-2−2i2i0000002-2−2i2i2ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23000000000000000000
χ552-2−2i2i0002000-2−2i2i222222000-2-2-2-2-2-2000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000-222i−2i000000-222i−2i2ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ13000000000000000000
χ562-2−2i2i0002000-2−2i2i222222000-2-2-2-2-2-2000−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000-222i−2i000000-222i−2i−2ζ7−2ζ232ζ7+2ζ23−2ζ5−2ζ132ζ5+2ζ132ζ7+2ζ23−2ζ7−2ζ232ζ5+2ζ13−2ζ5−2ζ13000000000000000000
χ57444444444444441-211-2-24441-211-2-24441-21-211-2-211-2-21-211-2-21-211-2-21-211-2-21-211-2-21-211-2-21-211-2-20000000000000000000000000000000000000000
χ5844444444444444-21-2-211444-21-2-211444-21-21-2-211-2-211-21-2-211-21-2-211-21-2-211-21-2-211-21-2-211-21-2-2110000000000000000000000000000000000000000
χ594444444-2444-2-2-21-2−1−3i32−1+3i3211-2-2-21-2−1−3i32−1+3i3211-2-2-21-21-2−1−3i32−1+3i3211−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000000000000000000000000000000000000
χ604444444-2444-2-2-21-2−1+3i32−1−3i3211-2-2-21-2−1+3i32−1−3i3211-2-2-21-21-2−1+3i32−1−3i3211−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000000000000000000000000000000000000
χ614444444-2444-2-2-2-2111−1−3i32−1+3i32-2-2-2-2111−1−3i32−1+3i32-2-2-2-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000000000000000000000000000000000000
χ624444444-2444-2-2-2-2111−1+3i32−1−3i32-2-2-2-2111−1+3i32−1−3i32-2-2-2-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000000000000000000000000000000000000
χ6344444-4-444-4-44441-211-2-24-4-41-211-2-24-4-41-21-211-2-211-2-21-211-2-2-12-1-122-12-1-1221-211-2-2-12-1-122-12-1-1220000000000000000000000000000000000000000
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χ704444-44-44-44-4444-21-2-211-44-4-21-2-211-44-4-21-21-2-211-2-2112-122-1-1-21-2-2112-122-1-12-122-1-1-21-2-2112-122-1-10000000000000000000000000000000000000000
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χ754444-4-444-4-444441-211-2-2-4-441-211-2-2-4-441-21-211-2-211-2-2-12-1-122-12-1-1221-211-2-2-12-1-122-12-1-1221-211-2-20000000000000000000000000000000000000000
χ764444-4-444-4-44444-21-2-211-4-44-21-2-211-4-44-21-21-2-211-2-2112-122-1-12-122-1-1-21-2-2112-122-1-12-122-1-1-21-2-2110000000000000000000000000000000000000000
χ774444-4-44-2-4-44-2-2-21-2−1−3i32−1+3i321122-21-2−1−3i32−1+3i321122-21-21-2−1−3i32−1+3i3211−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i32110000000000000000000000000000000000000000
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χ8144-4-444-44-4-444-4-41-211-2-244-41-211-2-2-4-44-12-12-1-122-1-1221-211-2-21-211-2-2-12-1-122-12-1-122-12-1-1221-211-2-20000000000000000000000000000000000000000
χ8244-4-444-44-4-444-4-4-21-2-21144-4-21-2-211-4-442-12-122-1-122-1-1-21-2-211-21-2-2112-122-1-12-122-1-12-122-1-1-21-2-2110000000000000000000000000000000000000000
χ8344-4-444-4-2-4-44-2221-2−1−3i32−1+3i3211-2-221-2−1−3i32−1+3i321122-2-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i32110000000000000000000000000000000000000000
χ8444-4-444-4-2-4-44-2221-2−1+3i32−1−3i3211-2-221-2−1+3i32−1−3i321122-2-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-11-2−1+3i32−1−3i32110000000000000000000000000000000000000000
χ8544-4-444-4-2-4-44-222-2111−1−3i32−1+3i32-2-22-2111−1−3i32−1+3i3222-22-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i320000000000000000000000000000000000000000
χ8644-4-444-4-2-4-44-222-2111−1+3i32−1−3i32-2-22-2111−1+3i32−1−3i3222-22-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i320000000000000000000000000000000000000000
χ8744-4-44-444-44-44-4-41-211-2-24-441-211-2-2-44-4-12-12-1-122-1-1221-211-2-2-12-1-1221-211-2-2-12-1-1221-211-2-2-12-1-1220000000000000000000000000000000000000000
χ8844-4-44-444-44-44-4-4-21-2-2114-44-21-2-211-44-42-12-122-1-122-1-1-21-2-2112-122-1-1-21-2-2112-122-1-1-21-2-2112-122-1-10000000000000000000000000000000000000000
χ8944-4-44-44-2-44-4-2221-2−1−3i32−1+3i3211-22-21-2−1−3i32−1+3i32112-22-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-11-2−1−3i32−1+3i3211-121+3i321−3i32-1-10000000000000000000000000000000000000000
χ9044-4-44-44-2-44-4-2221-2−1+3i32−1−3i3211-22-21-2−1+3i32−1−3i32112-22-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-11-2−1+3i32−1−3i3211-121−3i321+3i32-1-10000000000000000000000000000000000000000
χ9144-4-44-44-2-44-4-222-2111−1−3i32−1+3i32-22-2-2111−1−3i32−1+3i322-222-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i320000000000000000000000000000000000000000
χ9244-4-44-44-2-44-4-222-2111−1+3i32−1−3i32-22-2-2111−1+3i32−1−3i322-222-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i320000000000000000000000000000000000000000
χ9344-4-4-44444-4-44-4-41-211-2-2-4441-211-2-24-4-4-12-12-1-122-1-122-12-1-1221-211-2-21-211-2-21-211-2-2-12-1-122-12-1-1220000000000000000000000000000000000000000
χ9444-4-4-44444-4-44-4-4-21-2-211-444-21-2-2114-4-42-12-122-1-122-1-12-122-1-1-21-2-211-21-2-211-21-2-2112-122-1-12-122-1-10000000000000000000000000000000000000000
χ9544-4-4-444-24-4-4-2221-2−1−3i32−1+3i32112-2-21-2−1−3i32−1+3i3211-222-12-121+3i321−3i32-1-11+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i3211-121+3i321−3i32-1-1-121+3i321−3i32-1-10000000000000000000000000000000000000000
χ9644-4-4-444-24-4-4-2221-2−1+3i32−1−3i32112-2-21-2−1+3i32−1−3i3211-222-12-121−3i321+3i32-1-11−3i321+3i32-1-1-121−3i321+3i32-1-11-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i3211-121−3i321+3i32-1-1-121−3i321+3i32-1-10000000000000000000000000000000000000000
χ9744-4-4-444-24-4-4-222-2111−1−3i32−1+3i322-2-2-2111−1−3i32−1+3i32-2222-12-1-1-11+3i321−3i32-1-11+3i321−3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i320000000000000000000000000000000000000000
χ9844-4-4-444-24-4-4-222-2111−1+3i32−1−3i322-2-2-2111−1+3i32−1−3i32-2222-12-1-1-11−3i321+3i32-1-11−3i321+3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i320000000000000000000000000000000000000000
χ9944-4-4-4-4-444444-4-41-211-2-2-4-4-41-211-2-2444-12-12-1-122-1-122-12-1-122-12-1-122-12-1-1221-211-2-21-211-2-21-211-2-20000000000000000000000000000000000000000
χ10044-4-4-4-4-444444-4-4-21-2-211-4-4-4-21-2-2114442-12-122-1-122-1-12-122-1-12-122-1-12-122-1-1-21-2-211-21-2-211-21-2-2110000000000000000000000000000000000000000
χ10144-4-4-4-4-4-2444-2221-2−1−3i32−1+3i32112221-2−1−3i32−1+3i3211-2-2-2-12-121+3i321−3i32-1-11+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-1-121+3i321−3i32-1-11-2−1−3i32−1+3i32111-2−1−3i32−1+3i32111-2−1−3i32−1+3i32110000000000000000000000000000000000000000
χ10244-4-4-4-4-4-2444-2221-2−1+3i32−1−3i32112221-2−1+3i32−1−3i3211-2-2-2-12-121−3i321+3i32-1-11−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-1-121−3i321+3i32-1-11-2−1+3i32−1−3i32111-2−1+3i32−1−3i32111-2−1+3i32−1−3i32110000000000000000000000000000000000000000
χ10344-4-4-4-4-4-2444-222-2111−1−3i32−1+3i32222-2111−1−3i32−1+3i32-2-2-22-12-1-1-11+3i321−3i32-1-11+3i321−3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i322-1-1-11+3i321−3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2111−1−3i32−1+3i320000000000000000000000000000000000000000
χ10444-4-4-4-4-4-2444-222-2111−1+3i32−1−3i32222-2111−1+3i32−1−3i32-2-2-22-12-1-1-11−3i321+3i32-1-11−3i321+3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i322-1-1-11−3i321+3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2111−1+3i32−1−3i320000000000000000000000000000000000000000
χ1054-44i−4i000-20002−2i2i44-2-2-2-2000-4-422220004i4i−4i−4i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000004-44i−4i000000-22−2i2i00000000000000000000000000
χ1064-44i−4i000-20002−2i2i44-2-2-2-2000-4-422220004i4i−4i−4i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000-44−4i4i0000002-22i−2i00000000000000000000000000
χ1074-4−4i4i000-200022i−2i44-2-2-2-2000-4-42222000−4i−4i4i4i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000004-4−4i4i000000-222i−2i00000000000000000000000000
χ1084-4−4i4i000-200022i−2i44-2-2-2-2000-4-42222000−4i−4i4i4i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000-444i−4i0000002-2−2i2i00000000000000000000000000
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χ1108-88i−8i0008000-88i−8i-42-4-4220004-244-2-2000−4i2i4i−2i−4i−4i2i2i4i4i−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88i−8i000-40004−4i4i2-4−1−3i3−1+3i322000-241+3i31−3i3-2-20002i−4i−2i4i−2ζ14+4ζ224ζ14−2ζ222i2i2ζ14−4ζ22−4ζ14+2ζ22−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88i−8i000-40004−4i4i2-4−1+3i3−1−3i322000-241−3i31+3i3-2-20002i−4i−2i4i4ζ14−2ζ22−2ζ14+4ζ222i2i−4ζ14+2ζ222ζ14−4ζ22−2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88i−8i000-40004−4i4i-4222−1−3i3−1+3i30004-2-2-21+3i31−3i3000−4i2i4i−2i2i2i−2ζ14+4ζ224ζ14−2ζ22−2i−2i2ζ14−4ζ22−4ζ14+2ζ220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88i−8i000-40004−4i4i-4222−1+3i3−1−3i30004-2-2-21−3i31+3i3000−4i2i4i−2i2i2i4ζ14−2ζ22−2ζ14+4ζ22−2i−2i−4ζ14+2ζ222ζ14−4ζ220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8−8i8i0008000-8−8i8i2-422-4-4000-24-2-244000−2i4i2i−4i−2i−2i4i4i2i2i−4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1178-8−8i8i000-400044i−4i2-4−1−3i3−1+3i322000-241+3i31−3i3-2-2000−2i4i2i−4i2ζ14−4ζ22−4ζ14+2ζ22−2i−2i−2ζ14+4ζ224ζ14−2ζ222i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8−8i8i000-400044i−4i2-4−1+3i3−1−3i322000-241−3i31+3i3-2-2000−2i4i2i−4i−4ζ14+2ζ222ζ14−4ζ22−2i−2i4ζ14−2ζ22−2ζ14+4ζ222i2i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8−8i8i000-400044i−4i-4222−1−3i3−1+3i30004-2-2-21+3i31−3i30004i−2i−4i2i−2i−2i2ζ14−4ζ22−4ζ14+2ζ222i2i−2ζ14+4ζ224ζ14−2ζ220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8−8i8i000-400044i−4i-4222−1+3i3−1−3i30004-2-2-21−3i31+3i30004i−2i−4i2i−2i−2i−4ζ14+2ζ222ζ14−4ζ222i2i4ζ14−2ζ22−2ζ14+4ζ220000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.