Finite Group Databasebeta

← Group #13168759

Character table — Group #13168759

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212122244121212123666121212121212244466666666661212121212121212121212121212121212121212121212124444446661212124441212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-11-1111-1-11111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111-1-1-1111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-111-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-11111111111-1-1-111-1-1-1-111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111111111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-11-1-1-11111-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111-1-1-11-1-1-1-111-1-111-11-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-111111-1-1-1-11-11-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-1-111-111-1-111-1-1-111-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-111-1-1111111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1111-111-1-1-1-111111-1-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-11-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-111-1-1-1-111111-11-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-11111-1-111-1-1-1-1-111111-111-1-111-1-1-11-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1111-1-1-1-1-111111-1-1-1-11-1-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-111-1-1-11111-1-1-1-111-1-111-111-1
χ17222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-120222222-1-1-1-1-1-12200220000-1-100000000-1-1-1-1000000-1-1-1-1-1-120200000000-1-100
χ18222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-1-20-2222-2-2-1-1-1-1-1-12200-2-20000-1-100000000-1-1-1-1000000111111-20-2000000001100
χ19222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1202-2-2-222111111-2-20022000011000000001111000000-1-1-1-1-1-1-20-2000000001100
χ20222222-122-122-12222-122222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2-2-2111111-2-200-2-200001100000000111100000011111120200000000-1-100
χ21222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122000000-1-1-1-111111120-2-22222-1-1-1-1-1-1-2-200-2-2000011000000001111000000-1-1-111120-2000000001-100
χ22222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122000000-1-1-1-1111111-202-222-2-2-1-1-1-1-1-1-2-20022000011000000001111000000111-1-1-1-20200000000-1100
χ23222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-111111120-22-2-2221111112200-2-20000-1-100000000-1-1-1-1000000-1-1-1111-20200000000-1100
χ24222222-1-2-2-122-12222-1-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-1111111-2022-2-2-2-21111112200220000-1-100000000-1-1-1-1000000111-1-1-120-2000000001-100
χ2522222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1222000-1-100000000-1-1-1-1222200-1-1-1-1-1-1-1-100000022222-1-12-1-1000-1-10000-1-10000
χ2622222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-20001100000000-1-111222200-1-1-1-1-1-1-1-1000000-2-2-2-2-211-211000110000110000
χ2722222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-12-22000-1-10000000011-1-1-2-2-2-20011111111000000-2-2-2-22-1-12-1-1000110000110000
χ2822222-122222-12-122-122222-12-122-1-1-1-1-1-12-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-1-2-2-200011000000001111-2-2-2-200111111110000002222-211-211000-1-10000-1-10000
χ2922222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-1-1-1-1-11111112-2-2000-1-100000000111122-2-200-1-1-1-11111000000-2-2222-1-1-211000110000-1-10000
χ3022222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-1-1-1-1-1111111-2-22000110000000011-1-122-2-200-1-1-1-1111100000022-2-2-2112-1-1000-1-10000110000
χ3122222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-200-2-21111-1-1-1-111111122-2000-1-100000000-1-111-2-222001111-1-1-1-100000022-2-22-1-1-211000-1-10000110000
χ3222222-12-2-222-12-122-12-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-200-2-21111-1-1-1-1111111-2220001100000000-1-1-1-1-2-222001111-1-1-1-1000000-2-222-2112-1-1000110000-1-10000
χ332222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-10202-1-10022-1-1-1-1-1-12200-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-122000000000002000-1-1-1-1000000
χ342222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-122-1-1-1-10-202-1-10022-1-1-1-1-1-1-2-20011112211111111-1-1-1-1-2-200000000000-20001111000000
χ352222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2222222-1-1-1-122-1-1-1-1020-21100-2-21111112200-1-1-1-1-2-2-1-1-1-1-1-1-1-11111-2-200000000000-20001111000000
χ362222-122222-1222-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-10-20-21100-2-2111111-2-2001111-2-211111111111122000000000002000-1-1-1-1000000
χ372222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111122222222-1-1-1-1-2-211110-20-2-1-10022-1-1-1-111-2-200-1-111-2-2-1-1-1-1111111112200000000000-2000-1-111000000
χ382222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111122-2-2-2-2-2-2-1-1-1-1-2-21111020-2-1-10022-1-1-1-111220011-1-1-2-21111-1-1-1-11111-2-200000000000200011-1-1000000
χ392222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-2222222-1-1-1-1-2-211110-2021100-2-21111-1-1-2-200-1-11122-1-1-1-11111-1-1-1-1-2-200000000000200011-1-1000000
χ402222-122-2-22-1222-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-2111102021100-2-21111-1-1220011-1-1221111-1-1-1-1-1-1-1-12200000000000-2000-1-111000000
χ412-22-222200-22-2-22-2-2-220000222-2-2-222-2-2-220000000000002-22i−2i2i2i−2i−2i2-2-2200000000002-2002-222-2-20000002i−2i00002i2i−2i−2i000000002i−2i0000000000000002i−2i00000000
χ422-22-222200-22-2-22-2-2-220000222-2-2-222-2-2-220000000000002-2−2i2i−2i−2i2i2i2-2-2200000000002-2002-222-2-2000000−2i2i0000−2i−2i2i2i00000000−2i2i000000000000000−2i2i00000000
χ432-22-222200-22-2-22-2-2-220000222-2-2-222-2-2-22000000000000-222i−2i2i2i−2i−2i2-2-220000000000-2200-22-2-2220000002i−2i00002i2i−2i−2i00000000−2i2i000000000000000−2i2i00000000
χ442-22-222200-22-2-22-2-2-220000222-2-2-222-2-2-22000000000000-22−2i2i−2i−2i2i2i2-2-220000000000-2200-22-2-222000000−2i2i0000−2i−2i2i2i000000002i−2i0000000000000002i−2i00000000
χ452-22-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i32-22i−2i2i2i−2i−2i-111-100−i3−i3i3i30000-11002-2-1-111−i3i30000−ii3−300−i−iii33−3−3−i3−i3i3i32i−2i000000000000000−ii3−3000000
χ462-22-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i32-2−2i2i−2i−2i2i2i-111-100−i3−i3i3i30000-11002-2-1-111−i3i30000i−i−3300ii−i−i−3−333−i3−i3i3i3−2i2i000000000000000i−i−33000000
χ472-22-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3-222i−2i2i2i−2i−2i-111-100−i3−i3i3i300001-100-2211-1-1i3−i30000−ii3−300−i−iii33−3−3i3i3−i3−i3−2i2i000000000000000i−i−33000000
χ482-22-2-12200-2-1-2-2211-22−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3-22−2i2i−2i−2i2i2i-111-100−i3−i3i3i300001-100-2211-1-1i3−i30000i−i−3300ii−i−i−3−333i3i3−i3−i32i−2i000000000000000−ii3−3000000
χ492-22-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i32-22i−2i2i2i−2i−2i-111-100i3i3−i3−i30000-11002-2-1-111i3−i30000−ii−3300−i−iii−3−333i3i3−i3−i32i−2i000000000000000−ii−33000000
χ502-22-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i32-2−2i2i−2i−2i2i2i-111-100i3i3−i3−i30000-11002-2-1-111i3−i30000i−i3−300ii−i−i33−3−3i3i3−i3−i3−2i2i000000000000000i−i3−3000000
χ512-22-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3-222i−2i2i2i−2i−2i-111-100i3i3−i3−i300001-100-2211-1-1−i3i30000−ii−3300−i−iii−3−333−i3−i3i3i3−2i2i000000000000000i−i3−3000000
χ522-22-2-12200-2-1-2-2211-22i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3-22−2i2i−2i−2i2i2i-111-100i3i3−i3−i300001-100-2211-1-1−i3i30000i−i3−300ii−i−i33−3−3−i3−i3i3i32i−2i000000000000000−ii−33000000
χ532-2-222222i−2i-2-2-22-22-22-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000002i−2i2-20000000002i−2i00002-20000
χ542-2-222222i−2i-2-2-22-22-22-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i0000000000000000000000000000000000000000−2i2i-22000000000−2i2i0000-220000
χ552-2-22222−2i2i-2-2-22-22-22-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000002i−2i-220000000002i−2i0000-220000
χ562-2-22222−2i2i-2-2-22-22-22-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i0000000000000000000000000000000000000000−2i2i2-2000000000−2i2i00002-20000
χ572-2-222-122i−2i-2-21212-2-1-22i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000−i3i3−i3i3-1-111−ii−ii−ii000000−i3i3000000003−33−3000000−i3i3−i3i33−33−30000002i−2i2-20−i3i303−3000−ii0000-110000
χ582-2-222-122i−2i-2-21212-2-1-22i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000−i3i3−i3i3-1-111−ii−ii−ii000000i3−i3000000003−3−33000000−i3i3−i3i33−33−3000000−2i2i-220i3−i30−33000i−i00001-10000
χ592-2-222-122i−2i-2-21212-2-1-22i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000i3−i3i3−i3-1-111−ii−ii−ii000000−i3i300000000−333−3000000i3−i3i3−i3−33−33000000−2i2i-220−i3i303−3000i−i00001-10000
χ602-2-222-122i−2i-2-21212-2-1-22i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000i3−i3i3−i3-1-111−ii−ii−ii000000i3−i300000000−33−33000000i3−i3i3−i3−33−330000002i−2i2-20i3−i30−33000−ii0000-110000
χ612-2-222-12−2i2i-2-21212-2-1-2−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i0000−i3i3−i3i3-1-111i−ii−ii−i000000−i3i300000000−33−33000000−i3i3−i3i3−33−33000000−2i2i2-20−i3i30−33000i−i0000-110000
χ622-2-222-12−2i2i-2-21212-2-1-2−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i0000−i3i3−i3i3-1-111i−ii−ii−i000000i3−i300000000−333−3000000−i3i3−i3i3−33−330000002i−2i-220i3−i303−3000−ii00001-10000
χ632-2-222-12−2i2i-2-21212-2-1-2−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i0000i3−i3i3−i3-1-111i−ii−ii−i000000−i3i3000000003−3−33000000i3−i3i3−i33−33−30000002i−2i-220−i3i30−33000−ii00001-10000
χ642-2-222-12−2i2i-2-21212-2-1-2−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i0000i3−i3i3−i3-1-111i−ii−ii−i000000i3−i3000000003−33−3000000i3−i3i3−i33−33−3000000−2i2i2-20i3−i303−3000i−i0000-110000
χ6544444-2-244-24-2-2-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111404000-2-20000000000-2-2000000000000000000000000-211-211000000000000000
χ6644444-2-244-24-2-2-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111-40-4000220000000000220000000000000000000000002-1-12-1-1000000000000000
χ6744444-2-2-4-4-24-2-2-244-2-2-4-4-4-4-2-21-2-21-21-2-21-2222222222222000000001111-1-1-1-1-1-140-4000-2-2000000000022000000000000000000000000-2112-1-1000000000000000
χ6844444-2-2-4-4-24-2-2-244-2-2-4-4-4-4-2-21-2-21-21-2-21-2222222222222000000001111-1-1-1-1-1-1-404000220000000000-2-20000000000000000000000002-1-1-211000000000000000
χ694444-24-244-2-24-24-2-24-2-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-21111440000001111-2-211110004-2-200-2-21111-2-200000000-2-2000000001111000000000000000000000000000
χ704444-24-244-2-24-24-2-24-2-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-21111-4-40000001111-2-21111000-4220022-1-1-1-122000000002200000000-1-1-1-1000000000000000000000000000
χ714444-24-2-4-4-2-24-24-2-24-22222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-144000000111122-1-1-1-1000-4-2-200-2-2111122000000002200000000-1-1-1-1000000000000000000000000000
χ724444-24-2-4-4-2-24-24-2-24-22222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-1-4-4000000111122-1-1-1-10004220022-1-1-1-1-2-200000000-2-2000000001111000000000000000000000000000
χ734444-2-24444-2-24-2-2-2-24-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-20044-2-2-2-21111-2-211110400000000000000-2-200-2-2-2-200111111110000000000000000000000000000000
χ744444-2-24444-2-24-2-2-2-24-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-200-4-422221111-2-211110-4000000000000002200222200-1-1-1-1-1-1-1-10000000000000000000000000000000
χ754444-2-24-4-44-2-24-2-2-2-2422221-2-2-2-2-21-211-2-222-4-4-1-1-1-122220044-2-2-2-2111122-1-1-1-10-4000000000000002200-2-222001111-1-1-1-10000000000000000000000000000000
χ764444-2-24-4-44-2-24-2-2-2-2422221-2-2-2-2-21-211-2-222-4-4-1-1-1-1222200-4-42222111122-1-1-1-10400000000000000-2-20022-2-200-1-1-1-111110000000000000000000000000000000
χ7744-4-4444004-44-4-4-44-4-40000444-44-4-4-4-444-4000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
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χ8244-4-4-24400424-4-42-2-4-423−23−2323-2-242-2-42-42-242000023−23−232323−23−232300000000-22-220023−23−232300000000000000000000000000000000000000000000000000000000000000000
χ8344-4-4-24400424-4-42-2-4-4−232323−23-2-242-2-42-42-2420000−232323−23−232323−2300000000-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ8444-4-4-24-200-2242-42-2-4223−23−2323-21-2-112222-2-2-1000023−23−2323−333−3000000001-11-100−333−300000000003-33-3000000000023−2300000000−33−33000000000000000000000000000
χ8544-4-4-24-200-2242-42-2-4223−23−2323-21-2-112222-2-2-1000023−23−2323−333−3000000001-11-100−333−30000000000-33-330000000000−2323000000003−33−3000000000000000000000000000
χ8644-4-4-24-200-2242-42-2-42−232323−23-21-2-112222-2-2-10000−232323−233−3−33000000001-11-1003−3−3300000000003-33-30000000000−2323000000003−33−3000000000000000000000000000
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χ9044-4-4-2-240042-2-422-22-4−232323−231-2-22-22-12-11-2200003−3−33−232323−23000023−23−23231-11-1003−3−3300000000000000000000000000−333−3-333-30000000000000000000000000000000
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χ934-44-444-20024-424-4-4-4-200004-2-22224-2-4-42-2000000000000-44000000-222-20000000000-44002-222-2-2000000000000000000000000000000000000000000000000000
χ944-44-44-2400-442-4-2-4-4240000-24-2-4-42-2-22224000000000000004i−4i−2i−2i2i2i-222-2000000000000000000000000004i−4i0000−2i−2i2i2i00000000000000000000000000000000000
χ954-44-44-2400-442-4-2-4-4240000-24-2-4-42-2-2222400000000000000−4i4i2i2i−2i−2i-222-200000000000000000000000000−4i4i00002i2i−2i−2i00000000000000000000000000000000000
χ964-44-4-24-2002-2-42422-4-2−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i34-40000001-1-1100i3i3−i3−i30000-2200-2211-1-1−2i32i3000000000000000000i3i3−i3−i3000000000000000000000000000
χ974-44-4-24-2002-2-42422-4-2−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i3-440000001-1-1100i3i3−i3−i300002-2002-2-1-1112i3−2i3000000000000000000−i3−i3i3i3000000000000000000000000000
χ984-44-4-24-2002-2-42422-4-22i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i34-40000001-1-1100−i3−i3i3i30000-2200-2211-1-12i3−2i3000000000000000000−i3−i3i3i3000000000000000000000000000
χ994-44-4-24-2002-2-42422-4-22i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i3-440000001-1-1100−i3−i3i3i300002-2002-2-1-111−2i32i3000000000000000000i3i3−i3−i3000000000000000000000000000
χ1004-44-4-2-2400-4-22-4-22224−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i3004i−4i−2i−2i2i2i1-1-1100i3i3−i3−i300000000000000000000−2i2i23−2300ii−i−i−3−3330000000000000000000000000000000
χ1014-44-4-2-2400-4-22-4-22224−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i300−4i4i2i2i−2i−2i1-1-1100i3i3−i3−i3000000000000000000002i−2i−232300−i−iii33−3−30000000000000000000000000000000
χ1024-44-4-2-2400-4-22-4-222242i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i3004i−4i−2i−2i2i2i1-1-1100−i3−i3i3i300000000000000000000−2i2i−232300ii−i−i33−3−30000000000000000000000000000000
χ1034-44-4-2-2400-4-22-4-222242i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i300−4i4i2i2i−2i−2i1-1-1100−i3−i3i3i3000000000000000000002i−2i23−2300−i−iii−3−3330000000000000000000000000000000
χ1044-4-4444-24i−4i2-4-4-2-44-4424i−4i4i−4i4-2-2-22-2-424-4224i−4i−2i2i4i−4i4i−4i−2i2i−2i2i00000000-2-222−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-2−4i4i2-4-4-2-44-442−4i4i−4i4i4-2-2-22-2-424-422−4i4i2i−2i−4i4i−4i4i2i−2i2i−2i00000000-2-2222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-2-24i−4i2-42-224-4-224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i000000−2i32i3000000000023−230000000000000000000000000i3−i30−33000000000000000
χ1074-4-444-2-24i−4i2-42-224-4-224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i0000002i3−2i30000000000−23230000000000000000000000000−i3i303−3000000000000000
χ1084-4-444-2-2−4i4i2-42-224-4-22−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii000000−2i32i30000000000−23230000000000000000000000000i3−i303−3000000000000000
χ1094-4-444-2-2−4i4i2-42-224-4-22−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii0000002i3−2i3000000000023−230000000000000000000000000−i3i30−33000000000000000
χ1104-4-44-2444i−4i-42-44-4-224-4−2i2i−2i2i-2-24-2242-4-22-424i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-2-2224i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-244−4i4i-42-44-4-224-42i−2i2i−2i-2-24-2242-4-22-42−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-2-222−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-24-24i−4i22-4-2-4-2242−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i0000000011-1-1−2i2ii−ii−i00000000003-3-3300000000000000000000−3i3i3i−3i000000000000000000000000000
χ1134-4-44-24-24i−4i22-4-2-4-2242−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i0000000011-1-1−2i2ii−ii−i0000000000-333-3000000000000000000003i−3i−3i3i000000000000000000000000000
χ1144-4-44-24-2−4i4i22-4-2-4-22422i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii0000000011-1-12i−2i−ii−ii00000000003-3-33000000000000000000003i−3i−3i3i000000000000000000000000000
χ1154-4-44-24-2−4i4i22-4-2-4-22422i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii0000000011-1-12i−2i−ii−ii0000000000-333-300000000000000000000−3i3i3i−3i000000000000000000000000000
χ1164-4-44-2-244i−4i-42242-22-2-4−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i0000−2i32i3−2i32i311-1-1−2i2ii−ii−i000000000000000023−2300000000i3−i3i3−i3−33−330000000000000000000000000000000
χ1174-4-44-2-244i−4i-42242-22-2-4−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i00002i3−2i32i3−2i311-1-1−2i2ii−ii−i0000000000000000−232300000000−i3i3−i3i33−33−30000000000000000000000000000000
χ1184-4-44-2-24−4i4i-42242-22-2-42i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i0000−2i32i3−2i32i311-1-12i−2i−ii−ii0000000000000000−232300000000i3−i3i3−i33−33−30000000000000000000000000000000
χ1194-4-44-2-24−4i4i-42242-22-2-42i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i00002i3−2i32i3−2i311-1-12i−2i−ii−ii000000000000000023−2300000000−i3i3−i3i3−33−330000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-88-4-400-4-8-444-88440000-4-424-4-24-24-424000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400-44-4444-44443−43−4343222-22-2-2-2-222-20000−232323−23−232323−2300000000-11-11003−3−3300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400-44-4444-444−434343−43222-22-2-2-2-222-2000023−23−232323−23−232300000000-11-1100−333−300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-4-4004844-4-8-84-40000-4-4244-2-4244-2-4000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4004-444-4444-4−4i3−4i34i34i3222-2-2-222-2-2-2200002i32i3−2i3−2i32i32i3−2i3−2i300000000-111-100−i3−i3i3i300000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4-4004-444-4444-44i34i3−4i3−4i3222-2-2-222-2-2-220000−2i3−2i32i32i3−2i3−2i32i32i300000000-111-100i3i3−i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-48i−8i444-44-44-44−4i4i−4i4i2222-22-2-22-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-1-1112i−2i−ii−ii00000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4−8i8i444-44-44-444i−4i4i−4i2222-22-2-22-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-1-111−2i2ii−ii−i00000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).