Finite Group Databasebeta

← Group #13168092

Character table — Group #13168092

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order122233344666666666333666666666121212121212121212122244441212121236661212121212121212244666666121212121212121212121212121212121212121222666666666121212121224444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-11111-1-111111111-1-11111111111-1-1-1-1-1-1-111-1-1-111-1-1-11-11-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111-11111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-111-1-1-1-1111111111111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11-1-1-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-111-1-11111111111111111111-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-11-1-1111-1-1111-1-1-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-1-1-111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-111-11-11-111-1-11111-1-11
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-111-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-11-1-1111-111-1-1-11111-1-11-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-111-1-111-1-1-1-1111111111111111-1-1-1-1-111-1-1-111-1-1-1-1-1-11-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-111-1-11-1-111-111-111111-1-111-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-111-1-1-111-111111-1-1-1-1-111
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1111111-1-1-1-1-11111111-1-1-111-1-1-1-1111-1-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11-1-111-111-1-11-111-1-1-11111111-1-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111111111-1-1-1-1-111111-1-1-111-1-1-1-111-1-1-111
χ17222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-122222200220000-1-1-1-1-1-1-1-1-1-1-1-120222-1-1-1-10022-1-100-1-1000000000022-1-1-1-12-1-1-1-12-1-1-1-10020000-1-10000000
χ18222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-122222200220000-1-1-1-1-1-1-1-1-1-1-1-1-20-222-1-1110022-1-100110000000000-2-21111-2-1-111-2-1-11100-20000110000000
χ19222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-12222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1202-2-211-1-100-2-21100-1-10000000000-2-21111211-1-1211-1-100-20000110000000
χ20222222-122-1222-12-1222-1-1-1-12-1-122-1-12222-1-12222-2-200-2-20000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-2-2111100-2-2110011000000000022-1-1-1-1-21111-211110020000-1-10000000
χ21222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-22200-2-20000-1-1-1-11111111120-222-1-1-1-100-2-2110011000000000022-1-1-1-12-1-1-1-1-2111100-20000110000000
χ22222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-22200-2-20000-1-1-1-111111111-20222-1-11100-2-21100-1-10000000000-2-21111-2-1-111211-1-10020000-1-10000000
χ23222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-200220000-1-1-1-11111111120-2-2-211-1-10022-1-100110000000000-2-21111211-1-1-2-1-1110020000-1-10000000
χ24222222-1-2-2-1222-12-1222-1-1-1-12-1-122-1-1-2-2-2-211-2-2-2-2-2-200220000-1-1-1-111111111-202-2-211110022-1-100-1-1000000000022-1-1-1-1-211112-1-1-1-100-20000110000000
χ2522222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-1222000022-1-100002222-1-1-1-1-1-1-1-1-1-1000000-100-1-1-100-1-12000200000000-1-10
χ2622222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-10022002222-1-1-1-122-1-1-1-1-1-1-22-20000-2-2-1-1000022-2-2-1-1-1-1-1-1-1-1-1-10000001001110011-2000-200000000110
χ2722222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-12-22000022110000-2-2221111111111000000-100-1-1-100-1-1-2000-200000000110
χ2822222-12222-1-122222-1-12-12-1-12-1-1-12-1-1-12222-1-1-1-100-2-200-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-20000-2-2110000-2-2-2-2111111111100000010011100112000200000000-1-10
χ2922222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-211110022002222-1-1-1-1-2-21111112-2-2000022-1-10000-2-2-2-211-1-1-1-11111000000-100-1-110011-20002000000001-10
χ3022222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-211110022002222-1-1-1-1-2-2111111-2-220000-2-2-1-10000-2-22211-1-1-1-1111100000010011-100-1-12000-200000000-110
χ3122222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-2111100-2-200-2-2-2-2-1-1-1-1-2-211111122-200002211000022-2-2-1-11111-1-1-1-1000000-100-1-1100112000-200000000-110
χ3222222-12-2-22-1-122222-1-12-12-1-12-1-1-12-111-2-2-2-2111100-2-200-2-2-2-2-1-1-1-1-2-2111111-2220000-2-21100002222-1-11111-1-1-1-100000010011-100-1-1-20002000000001-10
χ332222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-1-1220022-1-122-1-10022-1-1-1-1-1-1-1-10000000-1-1000-1-10002020-1-100-1-100000
χ342222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-122-2-2221111-1-1-1-1-1-122-1-1-1-10-20-1-12200-2-2-1-1221100-2-2111111110000000-1-1000-1-1000-20-2011001100000
χ352222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-1-2-222-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-102011-2-2002211-2-2-1-10022-1-1-1-1-1-1-1-100000001100011000-20-2011001100000
χ362222-12222222-12-12-12-1-12-12-1-12-1-1-1222-1-122-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-2011-2-200-2-211-2-21100-2-211111111000000011000110002020-1-100-1-100000
χ372222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-211112222-2-2-1-1-1-1-1-1-1-111-2-211110-20-1-122002211-2-21100-2-2-1-1-1-111110000000-1-100011000-20201100-1-100000
χ382222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-2111122-2-2-2-21111-1-1-1-111-2-21111020-1-12200-2-211-2-2-1-100221111-1-1-1-10000000-1-10001100020-20-1-1001100000
χ392222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-2011-2-20022-1-1221100-2-2-1-1-1-11111000000011000-1-100020-20-1-1001100000
χ402222-122-2-2222-12-12-12-1-12-12-1-12-1-1-12-2-211-2-21111-2-2-2-2221111-1-1-1-111-2-2111102011-2-200-2-2-1-122-1-100221111-1-1-1-1000000011000-1-1000-20201100-1-100000
χ4122-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-20000000000002i−2i002i2i−2i−2i2-2-22000000000000000002i−2i00000000002i2i−2i−2i00002-222-2-20000000000000000000002i−2i000
χ4222-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-20000000000002i−2i002i2i−2i−2i2-2-22000000000000000002i−2i00000000002i2i−2i−2i0000-22-2-222000000000000000000000−2i2i000
χ4322-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-2000000000000−2i2i00−2i−2i2i2i2-2-2200000000000000000−2i2i0000000000−2i−2i2i2i00002-222-2-2000000000000000000000−2i2i000
χ4422-2-222200-22-2-2-222-2-2222-2-2222-2-2-2-2000000000000−2i2i00−2i−2i2i2i2-2-2200000000000000000−2i2i0000000000−2i−2i2i2i0000-22-2-2220000000000000000000002i−2i000
χ452-22-22222i−2i2-22-2-2-2-22-222222-2-2-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-2002i−2i000022-2-22i−2i2i−2i2i2i−2i−2i0002-22-200002i−2i2i−2i0000000000000000000002-20002i−2i000000000000000000
χ462-22-22222i−2i2-22-2-2-2-22-222222-2-2-22-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i-2200−2i2i000022-2-22i−2i2i−2i2i2i−2i−2i000-22-220000−2i2i−2i2i000000000000000000000-22000−2i2i000000000000000000
χ472-22-2222−2i2i2-22-2-2-2-22-222222-2-2-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-200−2i2i000022-2-2−2i2i−2i2i−2i−2i2i2i0002-22-20000−2i2i−2i2i0000000000000000000002-2000−2i2i000000000000000000
χ482-22-2222−2i2i2-22-2-2-2-22-222222-2-2-22-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-22002i−2i000022-2-2−2i2i−2i2i−2i−2i2i2i000-22-2200002i−2i2i−2i000000000000000000000-220002i−2i000000000000000000
χ492-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i2-2002i−2i0000-1-111−ii−ii−i−iii0002-2-11−i3i3002i−2i−ii003−3000000000000−i3i3−i3i30-11−i3i30−ii3−300000003−30000000
χ502-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i2-2002i−2i0000-1-111−ii−ii−i−iii0002-2-11i3−i3002i−2i−ii00−33000000000000i3−i3i3−i30-11i3−i30−ii−330000000−330000000
χ512-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i-2200−2i2i0000-1-111−ii−ii−i−iii000-221-1−i3i300−2i2ii−i003−3000000000000i3−i3i3−i301-1−i3i30i−i3−30000000−330000000
χ522-22-222-12i−2i-1-22-21-212-22-1-1-1-1-2112-2112i−2i2i−2i−ii2i2i−2i−2i-2200−2i2i0000-1-111−ii−ii−i−iii000-221-1i3−i300−2i2ii−i00−33000000000000−i3i3−i3i301-1i3−i30i−i−3300000003−30000000
χ532-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i2-200−2i2i0000-1-111i−ii−iii−i−i0002-2-11−i3i300−2i2ii−i00−33000000000000−i3i3−i3i30-11−i3i30i−i−330000000−330000000
χ542-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i2-200−2i2i0000-1-111i−ii−iii−i−i0002-2-11i3−i300−2i2ii−i003−3000000000000i3−i3i3−i30-11i3−i30i−i3−300000003−30000000
χ552-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i-22002i−2i0000-1-111i−ii−iii−i−i000-221-1−i3i3002i−2i−ii00−33000000000000i3−i3i3−i301-1−i3i30−ii−3300000003−30000000
χ562-22-222-1−2i2i-1-22-21-212-22-1-1-1-1-2112-211−2i2i−2i2ii−i−2i−2i2i2i-22002i−2i0000-1-111i−ii−iii−i−i000-221-1i3−i3002i−2i−ii003−3000000000000−i3i3−i3i301-1i3−i30−ii3−30000000−330000000
χ572-22-2-1222i−2i2-221-21-2-1-2-1-12-1211-2-111-22i−2i−ii2i−2i−i−iii2-2002i−2i−i3i3−i3i3-1-111−ii2i−2i−i−iii000-112-20000−ii2i−2i3−30000−i3i3−i3i333−3−30000000-11000−ii00000003−300−i3i300000
χ582-22-2-1222i−2i2-221-21-2-1-2-1-12-1211-2-111-22i−2i−ii2i−2i−i−iii2-2002i−2ii3−i3i3−i3-1-111−ii2i−2i−i−iii000-112-20000−ii2i−2i−330000i3−i3i3−i3−3−3330000000-11000−ii0000000−3300i3−i300000
χ592-22-2-1222i−2i2-221-21-2-1-2-1-12-1211-2-111-22i−2i−ii2i−2i−i−iii-2200−2i2i−i3i3−i3i3-1-111−ii2i−2i−i−iii0001-1-220000i−i−2i2i3−30000−i3i3−i3i333−3−300000001-1000i−i0000000−3300i3−i300000
χ602-22-2-1222i−2i2-221-21-2-1-2-1-12-1211-2-111-22i−2i−ii2i−2i−i−iii-2200−2i2ii3−i3i3−i3-1-111−ii2i−2i−i−iii0001-1-220000i−i−2i2i−330000i3−i3i3−i3−3−33300000001-1000i−i00000003−300−i3i300000
χ612-22-2-122−2i2i2-221-21-2-1-2-1-12-1211-2-111-2−2i2ii−i−2i2iii−i−i2-200−2i2i−i3i3−i3i3-1-111i−i−2i2iii−i−i000-112-20000i−i−2i2i−330000−i3i3−i3i3−3−3330000000-11000i−i0000000−3300−i3i300000
χ622-22-2-122−2i2i2-221-21-2-1-2-1-12-1211-2-111-2−2i2ii−i−2i2iii−i−i2-200−2i2ii3−i3i3−i3-1-111i−i−2i2iii−i−i000-112-20000i−i−2i2i3−30000i3−i3i3−i333−3−30000000-11000i−i00000003−300i3−i300000
χ632-22-2-122−2i2i2-221-21-2-1-2-1-12-1211-2-111-2−2i2ii−i−2i2iii−i−i-22002i−2i−i3i3−i3i3-1-111i−i−2i2iii−i−i0001-1-220000−ii2i−2i−330000−i3i3−i3i3−3−33300000001-1000−ii00000003−300i3−i300000
χ642-22-2-122−2i2i2-221-21-2-1-2-1-12-1211-2-111-2−2i2ii−i−2i2iii−i−i-22002i−2ii3−i3i3−i3-1-111i−i−2i2iii−i−i0001-1-220000−ii2i−2i3−30000i3−i3i3−i333−3−300000001-1000−ii0000000−3300−i3i300000
χ6544444-2-244-2-2-24-24-24-2-2-21-21-2-21-2-2-21-2-244-2-2-2-2-2-200000000001111-2-21111114040000-2-200000000-2-20000000000000000-20011-200110000000000000000
χ6644444-2-244-2-2-24-24-24-2-2-21-21-2-21-2-2-21-2-244-2-2-2-2-2-200000000001111-2-2111111-40-400002200000000220000000000000000200-1-1200-1-10000000000000000
χ6744444-2-2-4-4-2-2-24-24-24-2-2-21-21-2-21-2-2-2122-4-42222220000000000111122-1-1-1-1-1-140-40000-2-200000000220000000000000000-20011200-1-10000000000000000
χ6844444-2-2-4-4-2-2-24-24-24-2-2-21-21-2-21-2-2-2122-4-42222220000000000111122-1-1-1-1-1-1-40400002200000000-2-20000000000000000200-1-1-200110000000000000000
χ694444-24-244-244-2-2-2-2-24-21-21-2-21-2-2-21-244-2-2-2-2-2-2-2-24400440000111111-2-21111000-2-2-2-20000-2-2-2-20000000000000000000001100011000000000000000000
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χ894-44-44-2-24i−4i-22-2-42-4242-2-21-2122-1-222-1−2i2i4i−4i−2i2i−2i−2i2i2i000000000011-1-1−2i2ii−iii−i−i0000000−2i32i30000000023−230000000000000000000i3−i3000−330000000000000000
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χ954-44-4-24-2−4i4i-2-442222-2-4-21-21-22-12-22-12−4i4i2i−2i2i−2i2i2i−2i−2i4-400−4i4i000011-1-1−ii2i−2i−i−iii000-22-2200002i−2i2i−2i0000000000000000000001-1000−ii000000000000000000
χ964-44-4-24-2−4i4i-2-442222-2-4-21-21-22-12-22-12−4i4i2i−2i2i−2i2i2i−2i−2i-44004i−4i000011-1-1−ii2i−2i−i−iii0002-22-20000−2i2i−2i2i000000000000000000000-11000i−i000000000000000000
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χ994-44-4-2-24−4i4i42-22-42-4-221-2-2-2-2-1221-1222i−2i2i−2i−4i4i−i−iii000000−2i32i3−2i32i311-1-12i−2i2i−2i−i−iii000000000000000−23230000i3−i3i3−i333−3−300000000000000000000000000000000
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χ1074-4-44-24400-4-4-4-242-424-2-242-422-42-2-240000000000000000−232323−23-22-2200000000000000000000000000000−232323−23000000000000000000000000000000000000
χ1084-4-44-2-2400-422-242-42-21-2-222-122-11-2-20000003i−3i−3i3i00000023−23−23231-11-100003i−3i−3i3i0000000000000000000−2i32i3−333−3i3−i3−i3i300000000000000000000000000000000
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χ1104-4-44-2-2400-422-242-42-21-2-222-122-11-2-2000000−3i3i3i−3i00000023−23−23231-11-10000−3i3i3i−3i00000000000000000002i3−2i3−333−3−i3i3i3−i300000000000000000000000000000000
χ1114-4-44-2-2400-422-242-42-21-2-222-122-11-2-2000000−3i3i3i−3i000000−232323−231-11-10000−3i3i3i−3i0000000000000000000−2i32i33−3−33i3−i3−i3i300000000000000000000000000000000
χ1128888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-422220000000000-1-1-1-12222-1-1-1-10000000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-8-8-4-4-4-4-4-4-4-4-4222222222222444444-2-2-2-20000000000-1-1-1-1-2-2-2-211110000000000000000000000000000000000000000000000000000000000000
χ11488-8-88-4-4004-44-848-4-84-4-424-2-4-42444-2000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-4004-4444-4-444222-2-2222-2-2-2-2000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-48i−8i-44-44444-4422222-2-2-22-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4−8i8i-44-44444-4422222-2-2-22-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-4004448-4-84-8-4-4-424-244-24-4-42000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1228-8-88-4-4-400444-4-4444-4222-2-2-2-2-2-22220000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-400444-4-4444-4222-2-2-2-2-2-2222000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000

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