Finite Group Databasebeta

← Group #13168177

Character table — Group #13168177

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122233344666666666121212123336666666661212121212121212121212124444121212123666121212121212244466666666121212121212121212121212121212121212121212121212121222444412121212121244466121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-111-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1111111111111111-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1111111111111111-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1111-1-1-1-1-1-1-1-11111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11111-1-111
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
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1111-1-1-111-1-1111-1-111-1-1-11-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11111-1-11111-1111-1-1-11-1-1-11111-1-11-11-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-11-1-1-11111-111-1-1-1-1111-11-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1111-1-11-11-1-111-1-111-11-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-11-111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1111-11-1-111-1-111-111-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-111-1-1-1-1111-1-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111111-1-1-111-11-1-1-11111-1-11-1-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-11111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1111-1-1-1-1111-1-111-1-1-111-1
χ17222222-1222-12-1-1222222222-1-1-1-1-1222-1-1-1-1-1222222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-1202222-1-1-1-1-1-100-1-122-1-100000000000000-1-1-1-122220022-1-1-1-1000-1-1-1-100000000
χ18222222-1222-12-1-1222222222-1-1-1-1-1222-1-1-1-1-1222222-1-1-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-120-2-222-1-1-1-1-1-10011221100000000000000-1-1-1-1-2-2-2-200-2-21111000111100000000
χ19222222-1222-12-1-1222222222-1-1-1-1-1222-1-1-1-1-1222222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-2022-2-211111100-1-1-2-2-1-1000000000000001111-2-2-2-20022-1-1-1-1000111100000000
χ20222222-1222-12-1-1222222222-1-1-1-1-1222-1-1-1-1-1222222-1-1-1-1-2-2001111-1-1-1-1-1-1-1-1-1-1-20-2-2-2-21111110011-2-211000000000000001111222200-2-21111000-1-1-1-100000000
χ21222222-1-2-22-12-1-12222-2-2-2-22-1-1-1-1-1222-1-1-111-2-2-2-2-2-211112200-1-1-1-1-1-1-1-1111111-202-2-2-2111111001122-1-100000000000000-1-1-1-122-2-2002-211-1-1000-1-11100000000
χ22222222-1-2-22-12-1-12222-2-2-2-22-1-1-1-1-1222-1-1-111-2-2-2-2-2-211112200-1-1-1-1-1-1-1-1111111-20-22-2-211111100-1-1221100000000000000-1-1-1-1-2-22200-22-1-11100011-1-100000000
χ23222222-1-2-22-12-1-12222-2-2-2-22-1-1-1-1-1222-1-1-111-2-2-2-2-2-21111-2-2001111-1-1-1-1111111202-222-1-1-1-1-1-10011-2-2-1-1000000000000001111-2-222002-211-1-100011-1-100000000
χ24222222-1-2-22-12-1-12222-2-2-2-22-1-1-1-1-1222-1-1-111-2-2-2-2-2-21111-2-2001111-1-1-1-111111120-2222-1-1-1-1-1-100-1-1-2-21100000000000000111122-2-200-22-1-111000-1-11100000000
χ2522222-122222-122-1-122-1-1-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-12200-1-122-1-1-1-12200-1-100-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000220000002000000-1-1-1-10000
χ2622222-122222-122-1-122-1-1-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-122-2-22222-1-1-1-122-1-1-1-12-200-1-122-1-1-1-1-2-200-1-1001111-2-211111111-1-1-1-10000-2-2000000-200000011110000
χ2722222-122222-122-1-122-1-1-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-2-222-2-2-2-2-1-1-1-122-1-1-1-1-220011-2-2111122001100-1-1-1-122-1-1-1-1-1-1-1-111110000-2-2000000-200000011110000
χ2822222-122222-122-1-122-1-1-1-1-12-12-1-1-1-1-122-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-20011-2-21111-2-20011001111-2-21111111111110000220000002000000-1-1-1-10000
χ2922222-12-2-222-122-1-1221111-12-12-1-1-1-1-122-1-2-2-2-21111111122222222-1-1-1-1-2-21111-2-20011-2-21111-2-200-1-100-1-11122-1-1-1-11111-1-1-1-1000022000000-2000000-1-1110000
χ3022222-12-2-222-122-1-1221111-12-12-1-1-1-1-122-1-2-2-2-21111111122-2-22222-1-1-1-1-2-21111-220011-2-211112200-1-10011-1-1-2-21111-1-1-1-1-1-1-1-10000-2-2000000200000011-1-10000
χ3122222-12-2-222-122-1-1221111-12-12-1-1-1-1-122-1-2-2-2-211111111-2-222-2-2-2-2-1-1-1-1-2-211112-200-1-122-1-1-1-1-2-2001100-1-11122-1-1-1-1111111110000-2-2000000200000011-1-10000
χ3222222-12-2-222-122-1-1221111-12-12-1-1-1-1-122-1-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-211112200-1-122-1-1-1-12200110011-1-1-2-21111-1-1-1-11111000022000000-2000000-1-1110000
χ332222-12222-1222222-1-12222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-1022200000000-1-12200222222-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-102200000000-1-100
χ342222-12222-1222222-1-12222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1222200220000-1-1-1-1-1-1-1-1-1-102-2-200000000-1-1-2-200-2-22222-1-1-1-1-1-1-1-1-1-100000000001111110-2-2000000001100
χ352222-12222-1222222-1-12222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-10-2220000000011220022-2-2-2-211111111110000000000-1-1-1-1-1-10-2-2000000001100
χ362222-12222-1222222-1-12222-1-12-122-1-1-1-1-1222-1-1-1-1-1-1222200-2-20000-1-1-1-1-1-1-1-1-1-10-2-2-20000000011-2-200-2-2-2-2-2-21111111111000000000011111102200000000-1-100
χ372222-122-2-2-1222222-1-1-2-2-2-2-1-12-122-1-1-1-1-12-2-2111111-2-2-2-200220000-1-1-1-11111110-22-20000000011-2-2002222-2-2-1-1-1-1-1-111110000000000-1111-1-10-22000000001-100
χ382222-122-2-2-1222222-1-1-2-2-2-2-1-12-122-1-1-1-1-12-2-2111111-2-2-2-200220000-1-1-1-11111110-2-2200000000112200-2-222-2-2-1-1-1-1-1-1111100000000001-1-1-11102-200000000-1100
χ392222-122-2-2-1222222-1-1-2-2-2-2-1-12-122-1-1-1-1-12-2-2111111-2-2-2-200-2-20000-1-1-1-1111111022-200000000-1-1-2-20022-2-222111111-1-1-1-10000000000-1111-1-102-200000000-1100
χ402222-122-2-2-1222222-1-1-2-2-2-2-1-12-122-1-1-1-1-12-2-2111111-2-2-2-200-2-20000-1-1-1-111111102-2200000000-1-12200-2-2-2-222111111-1-1-1-100000000001-1-1-1110-22000000001-100
χ412-22-222200-2-222-2-2-22-20000222-2-2-22-2-2-2220000000000002-22i−2i22-2-22-2-2200000000000000000000002-2002i−2i002i−2i2i2i−2i−2i000022-2-200002i−2i00000000000002i−2i000000
χ422-22-222200-2-222-2-2-22-20000222-2-2-22-2-2-2220000000000002-2−2i2i22-2-22-2-2200000000000000000000002-200−2i2i00−2i2i−2i−2i2i2i000022-2-20000−2i2i0000000000000−2i2i000000
χ432-22-222200-2-222-2-2-22-20000222-2-2-22-2-2-222000000000000-222i−2i-2-2222-2-220000000000000000000000-22002i−2i002i−2i2i2i−2i−2i0000-2-2220000−2i2i0000000000000−2i2i000000
χ442-22-222200-2-222-2-2-22-20000222-2-2-22-2-2-222000000000000-22−2i2i-2-2222-2-220000000000000000000000-2200−2i2i00−2i2i−2i−2i2i2i0000-2-22200002i−2i00000000000002i−2i000000
χ452-22-22-1200-2-2-12-2112-2−i3−i3i3i3-12-1-211-111-22-10000−i3−i3i3i3−i3−i3i3i32-22i−2i22-2-2-111-100−i3−i3i3i30000−i3i300−i3−i3i3i30000-1100−ii3−32i−2i−i−iii33−3−3-1-11100002i−2i0000000000000−ii3−30000
χ462-22-22-1200-2-2-12-2112-2−i3−i3i3i3-12-1-211-111-22-10000−i3−i3i3i3−i3−i3i3i32-2−2i2i22-2-2-111-100−i3−i3i3i30000−i3i300−i3−i3i3i30000-1100i−i−33−2i2iii−i−i−3−333-1-1110000−2i2i0000000000000i−i−330000
χ472-22-22-1200-2-2-12-2112-2−i3−i3i3i3-12-1-211-111-22-10000−i3−i3i3i3−i3−i3i3i3-222i−2i-2-222-111-100−i3−i3i3i30000i3−i300i3i3−i3−i300001-100−ii3−32i−2i−i−iii33−3−311-1-10000−2i2i0000000000000i−i−330000
χ482-22-22-1200-2-2-12-2112-2−i3−i3i3i3-12-1-211-111-22-10000−i3−i3i3i3−i3−i3i3i3-22−2i2i-2-222-111-100−i3−i3i3i30000i3−i300i3i3−i3−i300001-100i−i−33−2i2iii−i−i−3−33311-1-100002i−2i0000000000000−ii3−30000
χ492-22-22-1200-2-2-12-2112-2i3i3−i3−i3-12-1-211-111-22-10000i3i3−i3−i3i3i3−i3−i32-22i−2i22-2-2-111-100i3i3−i3−i30000i3−i300i3i3−i3−i30000-1100−ii−332i−2i−i−iii−3−333-1-11100002i−2i0000000000000−ii−330000
χ502-22-22-1200-2-2-12-2112-2i3i3−i3−i3-12-1-211-111-22-10000i3i3−i3−i3i3i3−i3−i32-2−2i2i22-2-2-111-100i3i3−i3−i30000i3−i300i3i3−i3−i30000-1100i−i3−3−2i2iii−i−i33−3−3-1-1110000−2i2i0000000000000i−i3−30000
χ512-22-22-1200-2-2-12-2112-2i3i3−i3−i3-12-1-211-111-22-10000i3i3−i3−i3i3i3−i3−i3-222i−2i-2-222-111-100i3i3−i3−i30000−i3i300−i3−i3i3i300001-100−ii−332i−2i−i−iii−3−33311-1-10000−2i2i0000000000000i−i3−30000
χ522-22-22-1200-2-2-12-2112-2i3i3−i3−i3-12-1-211-111-22-10000i3i3−i3−i3i3i3−i3−i3-22−2i2i-2-222-111-100i3i3−i3−i30000−i3i300−i3−i3i3i300001-100i−i3−3−2i2iii−i−i33−3−311-1-100002i−2i0000000000000−ii−330000
χ532-2-222222i−2i-22-2-2-22-2-222i−2i2i−2i222-22-2-22-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i000000000000000000000000000000000000002-22i−2i000000000002-22i−2i00000000
χ542-2-222222i−2i-22-2-2-22-2-222i−2i2i−2i222-22-2-22-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000-22−2i2i00000000000-22−2i2i00000000
χ552-2-22222−2i2i-22-2-2-22-2-22−2i2i−2i2i222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i000000000000000000000000000000000000002-2−2i2i000000000002-2−2i2i00000000
χ562-2-22222−2i2i-22-2-2-22-2-22−2i2i−2i2i222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000-222i−2i00000000000-222i−2i00000000
χ572-2-2222-12i−2i-2-1-2112-2-222i−2i2i−2i2-1-11-11-22-2-111−ii2i−2i2i−2i2i−2i−ii−ii00003−33−3-1-111−ii−ii−ii000000−i3i3−i3i3−i3i300−i3i3003−3000000000000003−33−32-22i−2i0000−i3i33−3000-11−ii00000000
χ582-2-2222-12i−2i-2-1-2112-2-222i−2i2i−2i2-1-11-11-22-2-111−ii2i−2i2i−2i2i−2i−ii−ii00003−33−3-1-111−ii−ii−ii000000−i3i3−i3i3−i3i300i3−i300−33000000000000003−33−3-22−2i2i0000i3−i3−330001-1i−i00000000
χ592-2-2222-12i−2i-2-1-2112-2-222i−2i2i−2i2-1-11-11-22-2-111−ii2i−2i2i−2i2i−2i−ii−ii0000−33−33-1-111−ii−ii−ii000000i3−i3i3−i3i3−i300−i3i3003−300000000000000−33−33-22−2i2i0000−i3i33−30001-1i−i00000000
χ602-2-2222-12i−2i-2-1-2112-2-222i−2i2i−2i2-1-11-11-22-2-111−ii2i−2i2i−2i2i−2i−ii−ii0000−33−33-1-111−ii−ii−ii000000i3−i3i3−i3i3−i300i3−i300−3300000000000000−33−332-22i−2i0000i3−i3−33000-11−ii00000000
χ612-2-2222-1−2i2i-2-1-2112-2-22−2i2i−2i2i2-1-11-11-22-2-111i−i−2i2i−2i2i−2i2ii−ii−i00003−33−3-1-111i−ii−ii−i000000i3−i3i3−i3i3−i300−i3i300−33000000000000003−33−3-222i−2i0000−i3i3−330001-1−ii00000000
χ622-2-2222-1−2i2i-2-1-2112-2-22−2i2i−2i2i2-1-11-11-22-2-111i−i−2i2i−2i2i−2i2ii−ii−i00003−33−3-1-111i−ii−ii−i000000i3−i3i3−i3i3−i300i3−i3003−3000000000000003−33−32-2−2i2i0000i3−i33−3000-11i−i00000000
χ632-2-2222-1−2i2i-2-1-2112-2-22−2i2i−2i2i2-1-11-11-22-2-111i−i−2i2i−2i2i−2i2ii−ii−i0000−33−33-1-111i−ii−ii−i000000−i3i3−i3i3−i3i300−i3i300−3300000000000000−33−332-2−2i2i0000−i3i3−33000-11i−i00000000
χ642-2-2222-1−2i2i-2-1-2112-2-22−2i2i−2i2i2-1-11-11-22-2-111i−i−2i2i−2i2i−2i2ii−ii−i0000−33−33-1-111i−ii−ii−i000000−i3i3−i3i3−i3i300i3−i3003−300000000000000−33−33-222i−2i0000i3−i33−30001-1−ii00000000
χ6544444-2-2444-2-2-2-2-2-244-2-2-2-2-2-21-211-2-2-2-2-21-2-244-2-2-2-211114400-2-2-2-21111-2-211114000-2-2-2-211110000-2-200000000000000001111000000000000000000000000000
χ6644444-2-2444-2-2-2-2-2-244-2-2-2-2-2-21-211-2-2-2-2-21-2-244-2-2-2-21111-4-40022221111-2-21111-40002222-1-1-1-10000220000000000000000-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-44-2-2-2-2-2-2442222-2-21-211-2-2-2-2-2122-4-42222-1-1-1-14400-2-2-2-2111122-1-1-1-1-40002222-1-1-1-10000-2-200000000000000001111000000000000000000000000000
χ6844444-2-2-4-44-2-2-2-2-2-2442222-2-21-211-2-2-2-2-2122-4-42222-1-1-1-1-4-4002222111122-1-1-1-14000-2-2-2-211110000220000000000000000-1-1-1-1000000000000000000000000000
χ694444-24-244-2-24-2-244-2-24444-21-21-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-2-200000000111111111100440000000000-2-200-2-2000000000000000000000000-2-21111000000000000000
χ704444-24-244-2-24-2-244-2-24444-21-21-2-2-2-2-211-2-2-2-2-2-2-2-2-2-2-2-2-200000000111111111100-4-4000000000022002200000000000000000000000022-1-1-1-1000000000000000
χ714444-24-2-4-4-2-24-2-244-2-2-4-4-4-4-21-21-2-2-2-2-211-2222222222222000000001111-1-1-1-1-1-1004-400000000002200-2-2000000000000000000000000-22-1-111000000000000000
χ724444-24-2-4-4-2-24-2-244-2-2-4-4-4-4-21-21-2-2-2-2-211-2222222222222000000001111-1-1-1-1-1-100-440000000000-2-200220000000000000000000000002-211-1-1000000000000000
χ734444-2-2444-24-244-2-2-2-2-2-2-2-21-2-2-2-2-2111-2-2-244-2-21111-2-2-2-2004400001111-2-21111040000000000-2-2000000-2-2-2-2-2-2111111110000000000000000000000000000000
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χ754444-2-24-4-4-24-244-2-2-2-222221-2-2-2-2-2111-2-2-2-4-422-1-1-1-1222200440000111122-1-1-1-10-4000000000022000000-2-222-2-21111-1-1-1-10000000000000000000000000000000
χ764444-2-24-4-4-24-244-2-2-2-222221-2-2-2-2-2111-2-2-2-4-422-1-1-1-1222200-4-40000111122-1-1-1-1040000000000-2-200000022-2-222-1-1-1-111110000000000000000000000000000000
χ7744-4-4444004-4-4-44-44-4-400004444-44-4-44-4-4-4000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
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χ7944-4-444-20042-42-2-44-4-400004-2-2-22-2-4-442220000000000000000−232323−23-22-220000000000000000000000000000000000000000−232323−23000000000000000000000000000
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χ8144-4-44-24004-42-442-2-4-4−232323−23-24-242-222-2-4-420000−232323−23−232323−2300000000-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ8244-4-44-2-2004222-22-2-4-423−23−2323-2-21-2-1122-222-1000023−23−2323−333−3000023−23−23231-11-100−333−300000000-333-30000000000000000000000−333−3000000000000000000000000000
χ8344-4-44-2-2004222-22-2-4-423−23−2323-2-21-2-1122-222-1000023−23−2323−333−30000−232323−231-11-100−333−3000000003-3-3300000000000000000000003−3−33000000000000000000000000000
χ8444-4-44-2-2004222-22-2-4-4−232323−23-2-21-2-1122-222-10000−232323−233−3−33000023−23−23231-11-1003−3−33000000003-3-330000000000000000000000−333−3000000000000000000000000000
χ8544-4-44-2-2004222-22-2-4-4−232323−23-2-21-2-1122-222-10000−232323−233−3−330000−232323−231-11-1003−3−3300000000-333-300000000000000000000003−3−33000000000000000000000000000
χ8644-4-4-24400-2-4-4-44-44220000-2-24-2-4422-222-400000000000000000000-22-22000000000000000000−2i32i30000000000000000−2i32i3−2i32i30000000000000000000000000000000
χ8744-4-4-24400-2-4-4-44-44220000-2-24-2-4422-222-400000000000000000000-22-220000000000000000002i3−2i300000000000000002i3−2i32i3−2i30000000000000000000000000000000
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χ9044-4-4-2-2400-2-42-442-222−232323−231-2-2-22-2-1-1122200003−3−33−232323−23000000001-11-1003−3−33000000000000−2i32i3000000000000−3i3i−3i3ii3−i3i3−i30000000000000000000000000000000
χ9144-4-4-2-2400-2-42-442-222−232323−231-2-2-22-2-1-1122200003−3−33−232323−23000000001-11-1003−3−330000000000002i3−2i30000000000003i−3i3i−3i−i3i3−i3i30000000000000000000000000000000
χ924-44-444-200-424-22-4-44-400004-2-22224-4-42-2-20000000000004-400-2-222-222-200000000000000000000004-40000000000000000-2-222000000000000000000000000000
χ934-44-444-200-424-22-4-44-400004-2-22224-4-42-2-2000000000000-440022-2-2-222-20000000000000000000000-44000000000000000022-2-2000000000000000000000000000
χ944-44-44-2-200-42-2-22224-4−2i3−2i32i32i3-2-212-1-1-2222-210000−2i3−2i32i32i3i3i3−i3−i34-400-2-2221-1-1100i3i3−i3−i30000−2i32i300i3i3−i3−i30000-22000000000000000011-1-1000000000000000000000000000
χ954-44-44-2-200-42-2-22224-4−2i3−2i32i32i3-2-212-1-1-2222-210000−2i3−2i32i32i3i3i3−i3−i3-440022-2-21-1-1100i3i3−i3−i300002i3−2i300−i3−i3i3i300002-20000000000000000-1-111000000000000000000000000000
χ964-44-44-2-200-42-2-22224-42i32i3−2i3−2i3-2-212-1-1-2222-2100002i32i3−2i3−2i3−i3−i3i3i34-400-2-2221-1-1100−i3−i3i3i300002i3−2i300−i3−i3i3i30000-22000000000000000011-1-1000000000000000000000000000
χ974-44-44-2-200-42-2-22224-42i32i3−2i3−2i3-2-212-1-1-2222-2100002i32i3−2i3−2i3−i3−i3i3i3-440022-2-21-1-1100−i3−i3i3i30000−2i32i300i3i3−i3−i300002-20000000000000000-1-111000000000000000000000000000
χ984-44-4-244002-444-4-4-4-220000-2-242-4-4-2222-24000000000000004i−4i0000-222-2000000000000000000000000004i−4i00−2i2i−2i−2i2i2i00000000000000000000000000000000000
χ994-44-4-244002-444-4-4-4-220000-2-242-4-4-2222-2400000000000000−4i4i0000-222-200000000000000000000000000−4i4i002i−2i2i2i−2i−2i00000000000000000000000000000000000
χ1004-44-4-2-24002-4-24-422-22−2i3−2i32i32i31-2-22221-1-12-2-20000i3i3−i3−i3−2i3−2i32i32i3004i−4i00001-1-1100i3i3−i3−i300000000000000000000−2i2i23−23−2i2iii−i−i−3−3330000000000000000000000000000000
χ1014-44-4-2-24002-4-24-422-22−2i3−2i32i32i31-2-22221-1-12-2-20000i3i3−i3−i3−2i3−2i32i32i300−4i4i00001-1-1100i3i3−i3−i3000000000000000000002i−2i−23232i−2i−i−iii33−3−30000000000000000000000000000000
χ1024-44-4-2-24002-4-24-422-222i32i3−2i3−2i31-2-22221-1-12-2-20000−i3−i3i3i32i32i3−2i3−2i3004i−4i00001-1-1100−i3−i3i3i300000000000000000000−2i2i−2323−2i2iii−i−i33−3−30000000000000000000000000000000
χ1034-44-4-2-24002-4-24-422-222i32i3−2i3−2i31-2-22221-1-12-2-20000−i3−i3i3i32i32i3−2i3−2i300−4i4i00001-1-1100−i3−i3i3i3000000000000000000002i−2i23−232i−2i−i−iii−3−3330000000000000000000000000000000
χ1044-4-444-244i−4i-442-4-4-22-44−2i2i−2i2i-24-2-4-222-224-424i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-2-2224i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1054-4-444-24−4i4i-442-4-4-22-442i−2i2i−2i-24-2-4-222-224-42−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-2-222−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1064-4-444-2-24i−4i-4-2222-22-44−2i2i−2i2i-2-2121-12-22-22-1−2i2i4i−4i−2i2i−2i2ii−ii−i000023−2323−2311-1-1−2i2ii−ii−i000000−2i32i3i3−i3i3−i30000000000000000000000−33−33000000000000000000000000000
χ1074-4-444-2-24i−4i-4-2222-22-44−2i2i−2i2i-2-2121-12-22-22-1−2i2i4i−4i−2i2i−2i2ii−ii−i0000−2323−232311-1-1−2i2ii−ii−i0000002i3−2i3−i3i3−i3i300000000000000000000003−33−3000000000000000000000000000
χ1084-4-444-2-2−4i4i-4-2222-22-442i−2i2i−2i-2-2121-12-22-22-12i−2i−4i4i2i−2i2i−2i−ii−ii000023−2323−2311-1-12i−2i−ii−ii0000002i3−2i3−i3i3−i3i30000000000000000000000−33−33000000000000000000000000000
χ1094-4-444-2-2−4i4i-4-2222-22-442i−2i2i−2i-2-2121-12-22-22-12i−2i−4i4i2i−2i2i−2i−ii−ii0000−2323−232311-1-12i−2i−ii−ii000000−2i32i3i3−i3i3−i300000000000000000000003−33−3000000000000000000000000000
χ1104-4-44-2444i−4i24-4-4-44-42-24i−4i4i−4i-2-2424-42-22-22-44i−4i−2i2i−2i2i−2i2i4i−4i4i−4i00000000-2-222−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ1114-4-44-244−4i4i24-4-4-44-42-2−4i4i−4i4i-2-2424-42-22-22-4−4i4i2i−2i2i−2i2i−2i−4i4i−4i4i00000000-2-2222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ1124-4-44-24-24i−4i2-2-4224-42-24i−4i4i−4i-21-2-1-222-221-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i00000000000000−2i32i30023−2300000000000000000000000000i3−i3−33000000000000000
χ1134-4-44-24-24i−4i2-2-4224-42-24i−4i4i−4i-21-2-1-222-221-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i000000000000002i3−2i300−232300000000000000000000000000−i3i33−3000000000000000
χ1144-4-44-24-2−4i4i2-2-4224-42-2−4i4i−4i4i-21-2-1-222-221-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii00000000000000−2i32i300−232300000000000000000000000000i3−i33−3000000000000000
χ1154-4-44-24-2−4i4i2-2-4224-42-2−4i4i−4i4i-21-2-1-222-221-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii000000000000002i3−2i30023−2300000000000000000000000000−i3i3−33000000000000000
χ1164-4-44-2-244i−4i242-4-4-222-2−2i2i−2i2i1-2-22-22-11-1-2224i−4i−2i2ii−ii−i−2i2i−2i2i0000000011-1-1−2i2ii−ii−i000000000000000000000000003-3-333i−3i−3i3i0000000000000000000000000000000
χ1174-4-44-2-244i−4i242-4-4-222-2−2i2i−2i2i1-2-22-22-11-1-2224i−4i−2i2ii−ii−i−2i2i−2i2i0000000011-1-1−2i2ii−ii−i00000000000000000000000000-333-3−3i3i3i−3i0000000000000000000000000000000
χ1184-4-44-2-24−4i4i242-4-4-222-22i−2i2i−2i1-2-22-22-11-1-222−4i4i2i−2i−ii−ii2i−2i2i−2i0000000011-1-12i−2i−ii−ii000000000000000000000000003-3-33−3i3i3i−3i0000000000000000000000000000000
χ1194-4-44-2-24−4i4i242-4-4-222-22i−2i2i−2i1-2-22-22-11-1-222−4i4i2i−2i−ii−ii2i−2i2i−2i0000000011-1-12i−2i−ii−ii00000000000000000000000000-333-33i−3i−3i3i0000000000000000000000000000000
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
χ12288-8-8-48-400-44-84-4-88440000-42-424-444-4-2-24000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-400-4444-44-44443−43−43432222-22-2-22-2-2-20000−232323−23−232323−2300000000-11-11003−3−3300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-400-4444-44-444−434343−432222-22-2-22-2-2-2000023−23−232323−23−232300000000-11-1100−333−300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-48-400448-44-8-8-440000-42-4-244-444-22-4000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-40044-4-4444-44−4i3−4i34i34i3222-2-2-22-2-2-22200002i32i3−2i3−2i32i32i3−2i3−2i300000000-111-100−i3−i3i3i300000000000000000000000000000000000000000000000000000000000000000
χ1278-88-8-4-4-40044-4-4444-444i34i3−4i3−4i3222-2-2-22-2-2-2220000−2i3−2i32i32i3−2i3−2i32i32i300000000-111-100i3i3−i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-48i−8i4-4444-444-4−4i4i−4i4i222-22-2-22-22-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-1-1112i−2i−ii−ii00000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-4−8i8i4-4444-444-44i−4i4i−4i222-22-2-22-22-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-1-111−2i2ii−ii−i00000000000000000000000000000000000000000000000000000000000000000

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