Finite Group Databasebeta

← Group #13155849

Character table — Group #13155849

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size1111222222222222222222444444444444444444444444668888888888121212121212121212121212121212121212121212121212121212121212121212121224242424242424242436363636363636367272727272108108
order122233344666666666121212123336666666661212121212121212121212122236661212121212124666666668812121212121212122424242424242424242424242424242441212121212121212228824242424466121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-111-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111
χ71111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1111111-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-22222222200-2-2-2-2-2-2-2-20000000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22-2-2-2-2-2-2-2-200222222220000000000000000000000000000000000000000
χ11222222-122222-1-12-1222222-1-12-1-1-1-122-12-1-122-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-100000000022000000002222-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-1220000000-1-10000
χ12222222-122222-1-12-1222222-1-12-1-1-1-122-12-1-122-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-100000000022000000002222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-21111-2-20000000110000
χ13222222-122222-1-12-1222222-1-12-1-1-1-122-12-1-122-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-1000000000-2-200000000-2-2-2-21111111111112-1-122-1-1-1-1-2-20000000110000
χ14222222-122222-1-12-1222222-1-12-1-1-1-122-12-1-122-1-12222-1-1-100-1-1-1-1-1-1-1-1-1-1000000000-2-200000000-2-2-2-2111111111111-211-2-21111220000000-1-10000
χ1522222-122222-12222-1-122222-1-122-1-1-1-12-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10022-1-1-1-1-1-10000000000000000222-1-1-1-1-1-100000000200-1-100
χ1622222-122222-12222-1-122222-1-122-1-1-1-12-1-12-1-122-1-1-1-122222-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10022-1-1-1-1-1-10000000000000000-2-2-211111100000000-2001100
χ1722222-122222-12222-1-122222-1-122-1-1-1-12-1-12-1-122-1-1-1-1222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-211111100-2-21111110000000000000000222-1-1-1-1-1-100000000-2001100
χ1822222-122222-12222-1-122222-1-122-1-1-1-12-1-12-1-122-1-1-1-1222-2-2-1-1-1-1-1-1-1-1-1-1-2-2-211111100-2-21111110000000000000000-2-2-211111100000000200-1-100
χ1922222-12-2-222-12222-1-1-2-2-2-22-1-122-1-1-1-12-1-1-211-2-21111-2-2-222-1-1-1-1111111-222-1-1-1-1-1-100-2-21111110000000000000000000−i3i3−i3−i3i3i300000000000−i3i300
χ2022222-12-2-222-12222-1-1-2-2-2-22-1-122-1-1-1-12-1-1-211-2-21111-2-2-222-1-1-1-1111111-222-1-1-1-1-1-100-2-21111110000000000000000000i3−i3i3i3−i3−i300000000000i3−i300
χ2122222-12-2-222-12222-1-1-2-2-2-22-1-122-1-1-1-12-1-1-211-2-21111-2-2-2-2-2-1-1-1-11111112-2-21111110022-1-1-1-1-1-10000000000000000000−i3i3−i3−i3i3i300000000000i3−i300
χ2222222-12-2-222-12222-1-1-2-2-2-22-1-122-1-1-1-12-1-1-211-2-21111-2-2-2-2-2-1-1-1-11111112-2-21111110022-1-1-1-1-1-10000000000000000000i3−i3i3i3−i3−i300000000000−i3i300
χ232222-12222-1-1222-1222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000022-1-1-1-10000000
χ242222-12222-1-1222-1222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-122-1-1-1-122-1-1-1-12-1-122-1-1-1-1-2-2-1-122-1-1-1-11111-2-2-2-21111111100000000000-2-211110000000
χ252222-12222-1-1222-1222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-211-2-211112211-2-21111-1-1-1-12222-1-1-1-1-1-1-1-100000000000-2-211110000000
χ262222-12222-1-1222-1222-1-1-1-1-12-1-1-122-1-1-1-12222-1-1-1-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-211-2-21111-2-211-2-211111111-2-2-2-2111111110000000000022-1-1-1-10000000
χ272222-122-2-2-1-1222-12221111-12-1-1-122-1-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-2-1-122-1-1-1-10011-2-2111133−3−300003333−3−3−3−3000000000000033−3−30000000
χ282222-122-2-2-1-1222-12221111-12-1-1-122-1-1-1-12-2-2-2111111-21122-1-1-1-1-2-21111-2-1-122-1-1-1-10011-2-21111−3−3330000−3−3−3−333330000000000000−3−3330000000
χ292222-122-2-2-1-1222-12221111-12-1-1-122-1-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-21111211-2-2111100-1-122-1-1-1-133−3−300003333−3−3−3−30000000000000−3−3330000000
χ302222-122-2-2-1-1222-12221111-12-1-1-122-1-1-1-12-2-2-2111111-211-2-2-1-1-1-1-2-21111211-2-2111100-1-122-1-1-1-1−3−3330000−3−3−3−33333000000000000033−3−30000000
χ3122-2-2222002-222-2-2-2-2-200002222-22-22-2-2-2-20000000000002-222-2-200000002-22-222-2-2−i2i200000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000−i2i2−i2i2−i2i20000000
χ3222-2-2222002-222-2-2-2-2-200002222-22-22-2-2-2-20000000000002-222-2-200000002-22-222-2-2i2−i200000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000i2−i2i2−i2i2−i20000000
χ3322-2-2222002-222-2-2-2-2-200002222-22-22-2-2-2-2000000000000-2222-2-20000000-22-22-2-222−i2i200000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000i2−i2i2−i2i2−i20000000
χ3422-2-2222002-222-2-2-2-2-200002222-22-22-2-2-2-2000000000000-2222-2-20000000-22-22-2-222i2−i200000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000−i2i2−i2i2−i2i20000000
χ3522-2-2-12200-1122-21-2-2-23−33−3-12-1-112-2-1111-20003−333−3−303−32-2-1-1110033−3−30-112-2-1-111−i2i23−30033−3−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000
χ3622-2-2-12200-1122-21-2-2-23−33−3-12-1-112-2-1111-20003−333−3−303−32-2-1-1110033−3−30-112-2-1-111i2−i23−30033−3−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000
χ3722-2-2-12200-1122-21-2-2-23−33−3-12-1-112-2-1111-20003−333−3−303−3-22-1-1110033−3−301-1-2211-1-1−i2i2−3300−3−333ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300000000000i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000
χ3822-2-2-12200-1122-21-2-2-23−33−3-12-1-112-2-1111-20003−333−3−303−3-22-1-1110033−3−301-1-2211-1-1i2−i2−3300−3−333−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300000000000−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000
χ3922-2-2-12200-1122-21-2-2-2−33−33-12-1-112-2-1111-2000−33−3−3330−332-2-1-11100−3−3330-112-2-1-111−i2i2−3300−3−333ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000
χ4022-2-2-12200-1122-21-2-2-2−33−33-12-1-112-2-1111-2000−33−3−3330−332-2-1-11100−3−3330-112-2-1-111i2−i2−3300−3−333−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000
χ4122-2-2-12200-1122-21-2-2-2−33−33-12-1-112-2-1111-2000−33−3−3330−33-22-1-11100−3−33301-1-2211-1-1−i2i23−30033−3−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700000000000i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000
χ4222-2-2-12200-1122-21-2-2-2−33−33-12-1-112-2-1111-2000−33−3−3330−33-22-1-11100−3−33301-1-2211-1-1i2−i23−30033−3−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700000000000−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000
χ432-22-22222-2-2-2-2-2-2222-222-2-2222-2-2-2-2-2-2222-22-2-2-22-22-2222002-2-222-22-22-2000000000000000000000000000000000000000000002-200000002-20000
χ442-22-22222-2-2-2-2-2-2222-222-2-2222-2-2-2-2-2-2222-22-2-2-22-22-2222002-2-222-22-22-200000000000000000000000000000000000000000000-220000000-220000
χ452-22-2222-22-2-2-2-2-2222-2-2-222222-2-2-2-2-2-22222-2222-22-22-2-2-2002-2-22-22-22-220000000000000000000000000000000000000000000000000000000002-2
χ462-22-2222-22-2-2-2-2-2222-2-2-222222-2-2-2-2-2-22222-2222-22-22-2-2-2002-2-22-22-22-22000000000000000000000000000000000000000000000000000000000-22
χ472-22-222-12-2-2-2-2112-12-222-2-2-1-121111-2-2-12-112-2112-22-2-1-1-100-111-1-11-11-1100000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30−i3i300−i3i3−i3i32-20000000-110000
χ482-22-222-12-2-2-2-2112-12-222-2-2-1-121111-2-2-12-112-2112-22-2-1-1-100-111-1-11-11-1100000000000000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30i3−i300i3−i3i3−i3-2200000001-10000
χ492-22-222-12-2-2-2-2112-12-222-2-2-1-121111-2-2-12-112-2112-22-2-1-1-100-111-1-11-11-1100000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30−i3i300−i3i3−i3i3-2200000001-10000
χ502-22-222-12-2-2-2-2112-12-222-2-2-1-121111-2-2-12-112-2112-22-2-1-1-100-111-1-11-11-1100000000000000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30i3−i300i3−i3i3−i32-20000000-110000
χ51444444-2-4-4444-2-24-244-4-4-4-4-2-24-2-2-2-244-24-22-4-422-4-4-4-422200-2-2-2-222222200000000000000000000000000000000000000000000000000000000000
χ5244444-2-24444-2-2-24-2-2-24444-21-2-2-211-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2001111111111000000000000000000000000000000000004-2-2-2-21111000000000000000
χ5344444-2-24444-2-2-24-2-2-24444-21-2-2-211-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-200111111111100000000000000000000000000000000000-42222-1-1-1-1000000000000000
χ5444444-2-2-4-444-2-2-24-2-2-2-4-4-4-4-21-2-2-211-2-2-2-21222222222222001111-1-1-1-1-1-100000000000000000000000000000000000000−2i32i3i3i3−i3−i3000000000000000
χ5544444-2-2-4-444-2-2-24-2-2-2-4-4-4-4-21-2-2-211-2-2-2-21222222222222001111-1-1-1-1-1-1000000000000000000000000000000000000002i3−2i3−i3−i3i3i3000000000000000
χ564444-24-244-2-24-2-2-2-244-2-2-2-21-2-211-2-2-2-21-2-2-24411-2-2-2-2-211001111-2-211110000000004400000000-2-2-2-2-2-2-2-211111111000000000000000000000000
χ574444-24-244-2-24-2-2-2-244-2-2-2-21-2-211-2-2-2-21-2-2-24411-2-2-2-2-211001111-2-21111000000000-4-40000000022222222-1-1-1-1-1-1-1-1000000000000000000000000
χ584444-24-2-4-4-2-24-2-2-2-24422221-2-211-2-2-2-21-2-22-4-4-1-122222-1-100111122-1-1-1-100000000000000000002323−23−230000−3−3−3−33333000000000000000000000000
χ594444-24-2-4-4-2-24-2-2-2-24422221-2-211-2-2-2-21-2-22-4-4-1-122222-1-100111122-1-1-1-10000000000000000000−23−23232300003333−3−3−3−3000000000000000000000000
χ604444-2-2444-2-2-244-24-2-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2-211114-2-2441111-2-211114-2-2-2-2111100-2-2-2-211110000000000000000000000000000000000000000
χ614444-2-2444-2-2-244-24-2-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2-211114-2-2-4-41111-2-21111-42222-1-1-1-1002222-1-1-1-10000000000000000000000000000000000000000
χ624444-2-24-4-4-2-2-244-24-2-22222-2-21-2-2-2-211-21-2-42222-1-1-1-1-42244111122-1-1-1-1-4-2-2-2-21111002222-1-1-1-10000000000000000000000000000000000000000
χ634444-2-24-4-4-2-2-244-24-2-22222-2-21-2-2-2-211-21-2-42222-1-1-1-1-422-4-4111122-1-1-1-142222-1-1-1-100-2-2-2-211110000000000000000000000000000000000000000
χ6444-4-444-2004-44-22-42-4-40000-2-24-22-224-42-4200000000000000-2-222000000000000000−2i22i200000000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ6544-4-444-2004-44-22-42-4-40000-2-24-22-224-42-4200000000000000-2-2220000000000000002i2−2i2000000002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ6644-4-44-24004-4-24-4-4-42200004-2-24-4-22-22-4220000000000004-4-2-22200000004-4-22-2-22200000000000000000000000000000000000000000000000000
χ6744-4-44-24004-4-24-4-4-42200004-2-24-4-22-22-422000000000000-44-2-2220000000-442-222-2-200000000000000000000000000000000000000000000000000
χ6844-4-4-24-200-224-2222-4-423−2323−231-2-21-1-22-22-122000−332323−23−230−330011-1-100−3−333000000000−2i22i2000000002ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000000000000000
χ6944-4-4-24-200-224-2222-4-423−2323−231-2-21-1-22-22-122000−332323−23−230−330011-1-100−3−3330000000002i2−2i200000000−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000000000000000
χ7044-4-4-24-200-224-2222-4-4−2323−23231-2-21-1-22-22-1220003−3−23−23232303−30011-1-10033−3−3000000000−2i22i2000000002ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000000000000000
χ7144-4-4-24-200-224-2222-4-4−2323−23231-2-21-1-22-22-1220003−3−23−23232303−30011-1-10033−3−30000000002i2−2i200000000−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000000000000000
χ7244-4-4-2-2400-22-24-42-42223−2323−23-2-21-22-221-12-1200023−23−3−333023−234-411-1-100−3−3330-22-2211-1-10023−2300−3−3330000000000000000000000000000000000000000
χ7344-4-4-2-2400-22-24-42-42223−2323−23-2-21-22-221-12-1200023−23−3−333023−23-4411-1-100−3−33302-22-2-1-11100−23230033−3−30000000000000000000000000000000000000000
χ7444-4-4-2-2400-22-24-42-422−2323−2323-2-21-22-221-12-12000−232333−3−30−23234-411-1-10033−3−30-22-2211-1-100−23230033−3−30000000000000000000000000000000000000000
χ7544-4-4-2-2400-22-24-42-422−2323−2323-2-21-22-221-12-12000−232333−3−30−2323-4411-1-10033−3−302-22-2-1-1110023−2300−3−3330000000000000000000000000000000000000000
χ764-44-444-2-44-4-4-4224-24-4-4-444-2-242222-4-4-24-2-2-44-2-2-44-4422200-222-22-22-22-200000000000000000000000000000000000000000000000000000000000
χ774-44-44-244-4-4-42-4-444-2244-4-44-2-2-4-422224-2-2-4-22-4-4-22-2244400-222-2-22-22-2200000000000000000000000000000000000000000000000000000000000
χ784-44-44-24-44-4-42-4-444-22-4-4444-2-2-4-422224-2-242-2442-22-2-4-4-400-222-22-22-22-200000000000000000000000000000000000000000000000000000000000
χ794-44-44-2-24-4-4-42224-2-2244-4-4-21-222-1-122-2-212-2222-22-22-2-2-2001-1-111-11-11-1000000000000000000000000000000000000−2i32i300i3−i3i3−i3000000000000000
χ804-44-44-2-24-4-4-42224-2-2244-4-4-21-222-1-122-2-212-2222-22-22-2-2-2001-1-111-11-11-10000000000000000000000000000000000002i3−2i300−i3i3−i3i3000000000000000
χ814-44-44-2-2-44-4-42224-2-22-4-444-21-222-1-122-2-21-22-2-2-22-22-2222001-1-11-11-11-1100000000000000000000000000000000000000003-3-33000000000000000
χ824-44-44-2-2-44-4-42224-2-22-4-444-21-222-1-122-2-21-22-2-2-22-22-2222001-1-11-11-11-110000000000000000000000000000000000000000-333-3000000000000000
χ834-44-4-2444-422-4-4-4-244-4-2-222-24-222-4-422-2-24-44-422-22-224-2-200-222-24-4-22-2200000000000000000000000000000000000000000000000000000000000
χ844-44-4-244-4422-4-4-4-244-422-2-2-24-222-4-422-2-244-44-2-22-22-2-42200-222-2-442-22-200000000000000000000000000000000000000000000000000000000000
χ854-44-4-24-24-422-422-2-24-4-2-2221-2-2-1-122221-2-224-4-1-1-22-22-211001-1-11-221-11-100000000000000000000000−2i32i3−2i32i3i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ864-44-4-24-24-422-422-2-24-4-2-2221-2-2-1-122221-2-224-4-1-1-22-22-211001-1-11-221-11-1000000000000000000000002i3−2i32i3−2i3−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ874-44-4-24-2-4422-422-2-24-422-2-21-2-2-1-122221-2-2-2-44112-22-22-1-1001-1-112-2-11-110000000000000000000000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000
χ884-44-4-24-2-4422-422-2-24-422-2-21-2-2-1-122221-2-2-2-44112-22-22-1-1001-1-112-2-11-11000000000000000000000000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000
χ894-44-4-2-244-4222-4-4-24-22-2-222-2-212222-1-1-21-2-4-22221-11-14-2-2001-1-11-221-11-1000003-33-30000003-33-30000000000000000000000000000000000000000
χ904-44-4-2-244-4222-4-4-24-22-2-222-2-212222-1-1-21-2-4-22221-11-14-2-2001-1-11-221-11-100000-33-33000000-33-330000000000000000000000000000000000000000
χ914-44-4-2-24-44222-4-4-24-2222-2-2-2-212222-1-1-21-242-2-2-2-11-11-422001-1-112-2-11-11000003-33-3000000-33-330000000000000000000000000000000000000000
χ924-44-4-2-24-44222-4-4-24-2222-2-2-2-212222-1-1-21-242-2-2-2-11-11-422001-1-112-2-11-1100000-33-330000003-33-30000000000000000000000000000000000000000
χ934-4-4444400-44-4-44-4-4-440000444-44-44-44-4-4-4000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000
χ944-4-4444-200-44-42-2-42-440000-2-242-22-2-442-4200000000000000-22-22000000000000000000000000000006−6−666−6−666−6−66000000000000000000000000
χ954-4-4444-200-44-42-2-42-440000-2-242-22-2-442-4200000000000000-22-2200000000000000000000000000000−666−6−666−6−666−6000000000000000000000000
χ964-4-444-2400-442-44-4-42-200004-2-2-442-22-2-42200000000000000-22-22000000000000000000023−2323−23−23230000000000000000000000000000000000000000
χ974-4-444-2400-442-44-4-42-200004-2-2-442-22-2-42200000000000000-22-220000000000000000000−2323−232323−230000000000000000000000000000000000000000
χ984-4-44-244002-2-4-442-4-4423−23−2323-24-22-2-442-222-4000−232323−23−2323023−2300-22-220023−23−232300000000000000000000000000000000000000000000000000000000000
χ994-4-44-244002-2-4-442-4-44−232323−23-24-22-2-442-222-400023−23−232323−230−232300-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000
χ1004-4-44-24-2002-2-42-222-4423−23−23231-2-2-112-22-2-1220003−323−23−23230−33001-11-100−333−3000000000000000000000006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000
χ1014-4-44-24-2002-2-42-222-4423−23−23231-2-2-112-22-2-1220003−323−23−23230−33001-11-100−333−300000000000000000000000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000
χ1024-4-44-24-2002-2-42-222-44−232323−231-2-2-112-22-2-122000−33−232323−2303−3001-11-1003−3−33000000000000000000000006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000
χ1034-4-44-24-2002-2-42-222-44−232323−231-2-2-112-22-2-122000−33−232323−2303−3001-11-1003−3−3300000000000000000000000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000
χ1044-4-44-2-24002-22-442-42-223−23−2323-2-212-22-2-112-12000−2323−333−3023−23001-11-100−333−3000003-3-330000−23233−3−330000000000000000000000000000000000000000
χ1054-4-44-2-24002-22-442-42-223−23−2323-2-212-22-2-112-12000−2323−333−3023−23001-11-100−333−300000-333-3000023−23−333−30000000000000000000000000000000000000000
χ1064-4-44-2-24002-22-442-42-2−232323−23-2-212-22-2-112-1200023−233−3−330−2323001-11-1003−3−33000003-3-33000023−23−333−30000000000000000000000000000000000000000
χ1074-4-44-2-24002-22-442-42-2−232323−23-2-212-22-2-112-1200023−233−3−330−2323001-11-1003−3−3300000-333-30000−23233−3−330000000000000000000000000000000000000000
χ1088888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-42200-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000
χ1098888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-200-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000
χ11088-8-88-4-4008-8-4-44-84440000-42-4-442-2-4444-20000000000000022-2-200000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8-4-4-400-44-4-44444443−4343−432222-22-22-2-2-2-2000−2323−23−2323230−232300-1-1110033−3−300000000000000000000000000000000000000000000000000000000000
χ11288-8-8-4-4-400-44-4-444444−4343−43432222-22-22-2-2-2-200023−232323−23−23023−2300-1-11100−3−33300000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-48-844444-4-4-44-4-444222-2-2-2-2-2-22224-44-2-22-22-2-42200-111-12-2-11-1100000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4-8844444-4-4-4444-4-4222-2-2-2-2-2-2222-44-422-22-224-2-200-111-1-221-11-100000000000000000000000000000000000000000000000000000000000
χ1158-8-888-4-400-8844-4-844-40000-42-44-4-224-444-2000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-4004-444-4444-443−43−4343222-22-22-22-2-2-200023−23−232323−230−232300-11-11003−3−3300000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4004-444-4444-4−434343−43222-22-22-22-2-2-2000−232323−23−2323023−2300-11-1100−333−300000000000000000000000000000000000000000000000000000000000

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