Finite Group Databasebeta

← Group #13168110

Character table — Group #13168110

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order1222333446666666663336666666661212121212122244366612121212121212121212244466666612121212121212121212224444666612121212666661212121212121212121212444121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-11111111-1-1111111-1-111-1-1-1-11111-1-1-1-111111-11-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-111-11111-1-11111-1-11111-1-111-1-1-1-1-1-11111-111-1-11-1111-1-11111-1-11-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111111-1-1111111-11-1-1-1-1-11111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111111-1-111-11-1-1-111-1-1-1-1-1-11-1-111-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-111-111-1-11111-1-11-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1111111111111111111111-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111-1-1-111-1-1111-111111-1-111-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-111-1-1-111-1-11111-1-111-111-1-111-1-11-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-111111-1-1111-1-111-1-1-1-11111-111-1-111-1-1-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1111-1-111-1-11-111111-1-1111-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-111-11111-1-111-1-1-1-1-1-1-1-1-1111-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-11111-1-1-11
χ17222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1200222-1-1-1-100-1-1-1-12200220000-1-1-1-100002-1-1-1-1020-1-1-1-10000200-1-100000000
χ18222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-200-222-1-11100-1-1112200-2-2000011110000-2-1-1110-20-1-1110000-2001100000000
χ19222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-12002-2-211-1-10011-1-1-2-200-2-2000011110000211-1-102011-1-10000-2001100000000
χ20222222-122-122-1-122222-1-12-1-1-1-12-1-122222-1-1-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-200-2-2-21111001111-2-200220000-1-1-1-10000-211110-2011110000200-1-100000000
χ21222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-21122-2-2-1-1-1-11111-2-21111200-222-1-1-1-1001111-2-200220000-1-1-1-100002-1-1-1-10-2011110000-2001100000000
χ22222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-21122-2-2-1-1-1-11111-2-21111-200222-1-1110011-1-1-2-200-2-2000011110000-2-1-11102011-1-10000200-1-100000000
χ23222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-2-222-1-1-1-11111-2-21111200-2-2-211-1-100-1-1112200-2-2000011110000211-1-10-20-1-1110000200-1-100000000
χ24222222-1-2-2-122-1-122222-1-12-1-1-1-12-1-12-2-2-2-211-2-222-1-1-1-11111-2-21111-2002-2-2111100-1-1-1-12200220000-1-1-1-10000-21111020-1-1-1-10000-2001100000000
χ2522222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-12222000022220022002200002200000000-100-1-1-1-1-100-1-1-1-1-1-10200000-1-1-1-100
χ2622222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-12-2-22000022-2-2002200-2-20000-2-200000000-100-1-11-1100-1-111110-200000111100
χ2722222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-1-222-20000-2-22200-2-200220000-2-20000000010011-11-10011-1-1-1-10-200000111100
χ2822222-122222-12222-1-1-12-1-12-12-1-12-1-122-1-1220000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-200-2-200-2-20000220000000010011111001111110200000-1-1-1-100
χ2922222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-20000-1-1-1-1-2-21111111122-2-20000222200-2-200-2-20000-2-200000000-100-1-1-111001111-1-10200000-1-11100
χ3022222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-20000-1-1-1-1-2-2111111112-22-2000022-2-200-2-2002200002200000000-100-1-111-10011-1-1110-20000011-1-100
χ3122222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-20000-1-1-1-1-2-211111111-22-220000-2-222002200-2-20000220000000010011-1-1100-1-111-1-10-20000011-1-100
χ3222222-12-2-222-12222-1-1-12-1-12-12-1-12-1-1-2-211-2-20000-1-1-1-1-2-211111111-2-2220000-2-2-2-2002200220000-2-200000000100111-1-100-1-1-1-1110200000-1-11100
χ332222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-10220-1-12200-1-12200-1-1-1-10022000000-1-1-1-10-1-100202-1-100-1-1-1-100200-1-1000000
χ342222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-122222222-1-1-1-1-1-122-1-1-1-1-1-10-2-20-1-12200112200-1-11100-2-200000011110-1-100-20-2-1-100111100-20011000000
χ352222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1022011-2-200-1-1-2-20011-1-100-2-20000001111011002021100-1-1-1-100-20011000000
χ362222-122222-1222-1-122-1-12-1-12-12-1-12-1-1-12222-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10-2-2011-2-20011-2-20011110022000000-1-1-1-101100-20-21100111100200-1-1000000
χ372222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-222-2-2-1-1-1-111-2-211111102-20-1-12200-1-1-2-200111100-2-200000011110-1-10020-2110011-1-100200-1-1000000
χ382222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-222-2-2-1-1-1-111-2-21111110-220-1-1220011-2-20011-1-10022000000-1-1-1-10-1-100-2021100-1-11100-20011000000
χ392222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-2-222-1-1-1-111-2-211111102-2011-2-200-1-12200-1-1110022000000-1-1-1-10110020-2-1-10011-1-100-20011000000
χ402222-122-2-22-1222-1-122-1-12-1-12-12-1-12-111-2-2-2-2-2-222-1-1-1-111-2-21111110-22011-2-200112200-1-1-1-100-2-2000000111101100-202-1-100-1-11100200-1-1000000
χ4122-2-222200-222-22-2-2-2-2222-2-2-222-2-2-2200000000002-2-220000000000000000000000000000002-22i−2i2i−2i22-2-22i2i−2i−2i00000000000000000000000002i−2i00
χ4222-2-222200-222-22-2-2-2-2222-2-2-222-2-2-2200000000002-2-220000000000000000000000000000002-2−2i2i−2i2i22-2-2−2i−2i2i2i0000000000000000000000000−2i2i00
χ4322-2-222200-222-22-2-2-2-2222-2-2-222-2-2-2200000000002-2-22000000000000000000000000000000-222i−2i−2i2i-2-2222i2i−2i−2i0000000000000000000000000−2i2i00
χ4422-2-222200-222-22-2-2-2-2222-2-2-222-2-2-2200000000002-2-22000000000000000000000000000000-22−2i2i2i−2i-2-222−2i−2i2i2i00000000000000000000000002i−2i00
χ452-22-22222i−2i2-2-2-2-22-22-2222-222-2-22-2-2-22i−2i2i−2i2i−2i2-22i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-200002i−2i002i−2i000000000000000002-2000002i−2i0000000000000000000
χ462-22-22222i−2i2-2-2-2-22-22-2222-222-2-22-2-2-22i−2i2i−2i2i−2i-22−2i2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000-22-220000−2i2i00−2i2i00000000000000000-2200000−2i2i0000000000000000000
χ472-22-2222−2i2i2-2-2-2-22-22-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i2-2−2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-20000−2i2i00−2i2i000000000000000002-200000−2i2i0000000000000000000
χ482-22-2222−2i2i2-2-2-2-22-22-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i-222i−2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000-22-2200002i−2i002i−2i00000000000000000-22000002i−2i0000000000000000000
χ492-22-222-12i−2i-1-2-2112-22-22-1-1-2-1-111211-22i−2i2i−2i−ii2-22i−2i-1-111−ii−ii2i−2i−i−iii00002-2-11−i3i300−ii3−32i−2i00000000−i3i3−i3i300000-11−i3i3000−ii3−300000003−300000000
χ502-22-222-12i−2i-1-2-2112-22-22-1-1-2-1-111211-22i−2i2i−2i−ii2-22i−2i-1-111−ii−ii2i−2i−i−iii00002-2-11i3−i300−ii−332i−2i00000000i3−i3i3−i300000-11i3−i3000−ii−330000000−3300000000
χ512-22-222-12i−2i-1-2-2112-22-22-1-1-2-1-111211-22i−2i2i−2i−ii-22−2i2i-1-111−ii−ii2i−2i−i−iii0000-221-1−i3i300i−i3−3−2i2i00000000i3−i3i3−i3000001-1−i3i3000i−i3−30000000−3300000000
χ522-22-222-12i−2i-1-2-2112-22-22-1-1-2-1-111211-22i−2i2i−2i−ii-22−2i2i-1-111−ii−ii2i−2i−i−iii0000-221-1i3−i300i−i−33−2i2i00000000−i3i3−i3i3000001-1i3−i3000i−i−3300000003−300000000
χ532-22-222-1−2i2i-1-2-2112-22-22-1-1-2-1-111211-2−2i2i−2i2ii−i2-2−2i2i-1-111i−ii−i−2i2iii−i−i00002-2-11−i3i300i−i−33−2i2i00000000−i3i3−i3i300000-11−i3i3000i−i−330000000−3300000000
χ542-22-222-1−2i2i-1-2-2112-22-22-1-1-2-1-111211-2−2i2i−2i2ii−i2-2−2i2i-1-111i−ii−i−2i2iii−i−i00002-2-11i3−i300i−i3−3−2i2i00000000i3−i3i3−i300000-11i3−i3000i−i3−300000003−300000000
χ552-22-222-1−2i2i-1-2-2112-22-22-1-1-2-1-111211-2−2i2i−2i2ii−i-222i−2i-1-111i−ii−i−2i2iii−i−i0000-221-1−i3i300−ii−332i−2i00000000i3−i3i3−i3000001-1−i3i3000−ii−3300000003−300000000
χ562-22-222-1−2i2i-1-2-2112-22-22-1-1-2-1-111211-2−2i2i−2i2ii−i-222i−2i-1-111i−ii−i−2i2iii−i−i0000-221-1i3−i300−ii3−32i−2i00000000−i3i3−i3i3000001-1i3−i3000−ii3−30000000−3300000000
χ572-22-2-1222i−2i21-2-2-2-112-2-1-121-121-2-11-21−ii2i−2i2i−2i2-22i−2i-1-111−ii2i−2i−ii−i−iii0000-112-2003−32i−2i00−ii−i3i30000000000−i3i3−i3i30-1100000−ii00−i3i33−3000003−3000000
χ582-22-2-1222i−2i21-2-2-2-112-2-1-121-121-2-11-21−ii2i−2i2i−2i2-22i−2i-1-111−ii2i−2i−ii−i−iii0000-112-200−332i−2i00−iii3−i30000000000i3−i3i3−i30-1100000−ii00i3−i3−3300000−33000000
χ592-22-2-1222i−2i21-2-2-2-112-2-1-121-121-2-11-21−ii2i−2i2i−2i-22−2i2i-1-111−ii2i−2i−ii−i−iii00001-1-22003−3−2i2i00i−i−i3i30000000000i3−i3i3−i301-100000i−i00−i3i33−300000−33000000
χ602-22-2-1222i−2i21-2-2-2-112-2-1-121-121-2-11-21−ii2i−2i2i−2i-22−2i2i-1-111−ii2i−2i−ii−i−iii00001-1-2200−33−2i2i00i−ii3−i30000000000−i3i3−i3i301-100000i−i00i3−i3−33000003−3000000
χ612-22-2-122−2i2i21-2-2-2-112-2-1-121-121-2-11-21i−i−2i2i−2i2i2-2−2i2i-1-111i−i−2i2ii−iii−i−i0000-112-2003−3−2i2i00i−ii3−i30000000000i3−i3i3−i30-1100000i−i00i3−i33−3000003−3000000
χ622-22-2-122−2i2i21-2-2-2-112-2-1-121-121-2-11-21i−i−2i2i−2i2i2-2−2i2i-1-111i−i−2i2ii−iii−i−i0000-112-200−33−2i2i00i−i−i3i30000000000−i3i3−i3i30-1100000i−i00−i3i3−3300000−33000000
χ632-22-2-122−2i2i21-2-2-2-112-2-1-121-121-2-11-21i−i−2i2i−2i2i-222i−2i-1-111i−i−2i2ii−iii−i−i00001-1-22003−32i−2i00−iii3−i30000000000−i3i3−i3i301-100000−ii00i3−i33−300000−33000000
χ642-22-2-122−2i2i21-2-2-2-112-2-1-121-121-2-11-21i−i−2i2i−2i2i-222i−2i-1-111i−i−2i2ii−iii−i−i00001-1-2200−332i−2i00−ii−i3i30000000000i3−i3i3−i301-100000−ii00−i3i3−33000003−3000000
χ6544444-2-244-24-2-2-244-2-2-2-21-2-21-21-2-21-244-2-2-2-200001111-2-211-2-2111140040000-2-20000-2-2000000000000000000-200110-20001100000000000000000
χ6644444-2-244-24-2-2-244-2-2-2-21-2-21-21-2-21-244-2-2-2-200001111-2-211-2-21111-400-4000022000022000000000000000000200-1-102000-1-100000000000000000
χ6744444-2-2-4-4-24-2-2-244-2-2-2-21-2-21-21-2-21-2-4-422220000111122-1-122-1-1-1-1400-40000-2-2000022000000000000000000-2001102000-1-100000000000000000
χ6844444-2-2-4-4-24-2-2-244-2-2-2-21-2-21-21-2-21-2-4-422220000111122-1-122-1-1-1-1-40040000220000-2-2000000000000000000200-1-10-20001100000000000000000
χ694444-24-244-2-24-2-2-2-244-21-2-21-21-2-21-2-2-2-244-2-24444111111-2-2-2-211110000-2-2-2-20000-2-200-2-2000000000000000001100000110000000000000000000
χ704444-24-244-2-24-2-2-2-244-21-2-21-21-2-21-2-2-2-244-2-2-4-4-4-4111111-2-2-2-2111100002222000022002200000000000000000-1-100000-1-10000000000000000000
χ714444-24-2-4-4-2-24-2-2-2-244-21-2-21-21-2-21-2-222-4-42244-4-41111-1-12222-1-1-1-10000-2-2-2-20000220022000000000000000001100000-1-10000000000000000000
χ724444-24-2-4-4-2-24-2-2-2-244-21-2-21-21-2-21-2-222-4-422-4-4441111-1-12222-1-1-1-1000022220000-2-200-2-200000000000000000-1-100000110000000000000000000
χ734444-2-24444-2-244-2-2-2-21-2-21-2-2-2-21-2-21-2-2-2-24400001111-2-2-2-21111110440000000-2-2000000-2-20000000000000000000-20-2000011110000000000000
χ744444-2-24444-2-244-2-2-2-21-2-21-2-2-2-21-2-21-2-2-2-24400001111-2-2-2-21111110-4-40000000220000002200000000000000000002020000-1-1-1-10000000000000
χ754444-2-24-4-44-2-244-2-2-2-21-2-21-2-2-2-21-2-212222-4-4000011112222-1-1-1-1-1-104-40000000-2-2000000220000000000000000000-2020000-1-1110000000000000
χ764444-2-24-4-44-2-244-2-2-2-21-2-21-2-2-2-21-2-212222-4-4000011112222-1-1-1-1-1-10-44000000022000000-2-2000000000000000000020-2000011-1-10000000000000
χ7744-4-444-2002442-2-4-4-4-44-2-2-422-2-2-42240000000000-222-20000000000000000000000000000004-40000-2-222000000000000000000000000000000000
χ7844-4-444-2002442-2-4-4-4-44-2-2-422-2-2-42240000000000-222-2000000000000000000000000000000-44000022-2-2000000000000000000000000000000000
χ7944-4-44-2400-44-2-44-4-422-24-22-424-22-42-20000000000-222-200000000000000000000000000000000004i−4i000000000000000000000000000000000−2i2i00
χ8044-4-44-2400-44-2-44-4-422-24-22-424-22-42-20000000000-222-20000000000000000000000000000000000−4i4i0000000000000000000000000000000002i−2i00
χ8144-4-4-24400-4-24-4422-4-4-2-2422-4-2422-4-20000000000-222-2000000000000000000000000000000004i−4i000000−2i−2i2i2i00000000000000000000000000000
χ8244-4-4-24400-4-24-4422-4-4-2-2422-4-2422-4-20000000000-222-200000000000000000000000000000000−4i4i0000002i2i−2i−2i00000000000000000000000000000
χ834-44-44-244i−4i4-42-4-44-4-22-24-224-2-42-2-4224i−4i−2i2i4i−4i0000-2-2224i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ844-44-44-24−4i4i4-42-4-44-4-22-24-224-2-42-2-422−4i4i2i−2i−4i4i0000-2-222−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ854-44-44-2-24i−4i-2-42224-4-22-2-212-212-1-22-124i−4i−2i2i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i00000000−2i32i3000023−23000000000000000000000i3−i300000−3300000000000000000
χ864-44-44-2-24i−4i-2-42224-4-22-2-212-212-1-22-124i−4i−2i2i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i000000002i3−2i30000−2323000000000000000000000−i3i3000003−300000000000000000
χ874-44-44-2-2−4i4i-2-42224-4-22-2-212-212-1-22-12−4i4i2i−2i2i−2i000011-1-12i−2i−ii2i−2i−i−iii00000000−2i32i30000−2323000000000000000000000i3−i3000003−300000000000000000
χ884-44-44-2-2−4i4i-2-42224-4-22-2-212-212-1-22-12−4i4i2i−2i2i−2i000011-1-12i−2i−ii2i−2i−i−iii000000002i3−2i3000023−23000000000000000000000−i3i300000−3300000000000000000
χ894-44-4-24-24i−4i-22-422-224-4-21-221-2-12-2-122−2i2i4i−4i−2i2i4-44i−4i11-1-1i−i−2i2i−2i2iii−i−i0000-22-220000−2i2i00−2i2i000000000000000001-100000i−i0000000000000000000
χ904-44-4-24-24i−4i-22-422-224-4-21-221-2-12-2-122−2i2i4i−4i−2i2i-44−4i4i11-1-1i−i−2i2i−2i2iii−i−i00002-22-200002i−2i002i−2i00000000000000000-1100000−ii0000000000000000000
χ914-44-4-24-2−4i4i-22-422-224-4-21-221-2-12-2-1222i−2i−4i4i2i−2i4-4−4i4i11-1-1−ii2i−2i2i−2i−i−iii0000-22-2200002i−2i002i−2i000000000000000001-100000−ii0000000000000000000
χ924-44-4-24-2−4i4i-22-422-224-4-21-221-2-12-2-1222i−2i−4i4i2i−2i-444i−4i11-1-1−ii2i−2i2i−2i−i−iii00002-22-20000−2i2i00−2i2i00000000000000000-1100000i−i0000000000000000000
χ934-44-4-2-244i−4i422-4-4-22-221-2-2-1-2-222122-1−2i2i−2i2i4i−4i000011-1-1−2i2i−2i2ii−iii−i−i000000000023−23000000−2i32i300000000000000000000000000i3−i3−330000000000000
χ944-44-4-2-244i−4i422-4-4-22-221-2-2-1-2-222122-1−2i2i−2i2i4i−4i000011-1-1−2i2i−2i2ii−iii−i−i0000000000−23230000002i3−2i300000000000000000000000000−i3i33−30000000000000
χ954-44-4-2-24−4i4i422-4-4-22-221-2-2-1-2-222122-12i−2i2i−2i−4i4i000011-1-12i−2i2i−2i−ii−i−iii000000000023−230000002i3−2i300000000000000000000000000−i3i3−330000000000000
χ964-44-4-2-24−4i4i422-4-4-22-221-2-2-1-2-222122-12i−2i2i−2i−4i4i000011-1-12i−2i2i−2i−ii−i−iii0000000000−2323000000−2i32i300000000000000000000000000i3−i33−30000000000000
χ974-4-4444400-4-4-44-4-44-444444-4-4-4-4-444-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-2002-4-4-22-44-444-2-242222-4-2-2-40000000000-22-22000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ994-4-4444-2002-4-4-22-44-444-2-242222-4-2-2-40000000000-22-220000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1004-4-444-2400-4-424-4-442-2-24-2-2-42-4224-220000000000-22-22000000000000000000000000000000000000000000000000000000000000000000023−230000
χ1014-4-444-2400-4-424-4-442-2-24-2-2-42-4224-220000000000-22-220000000000000000000000000000000000000000000000000000000000000000000−23230000
χ1024-4-44-24400-42-44-42-2-44-2-24-22-42-42-2420000000000-22-22000000000000000000000000000000000000000023−23−232300000000000000000000000000000
χ1034-4-44-24400-42-44-42-2-44-2-24-22-42-42-2420000000000-22-220000000000000000000000000000000000000000−232323−2300000000000000000000000000000
χ1048888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4-4-40000-1-1-1-1222222-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1058888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444440000-1-1-1-1-2-2-2-2-2-21111000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-4-40048-44-4-8-844-4-4244-2-4244-2-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-48-4004-484-444-8-8-42-44-242-44-24-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4800-8-4-4-8844442-4-4-244-4-4-244200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4004-4-44-44444222-2-2-222-2-2-220000000000-111-1000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-4004-4-44-44444222-2-2-222-2-2-220000000000-111-10000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-48i−8i-44444-44-44222-222-2-22-2-2-2−4i4i−4i4i−4i4i0000-1-1112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4−8i8i-44444-44-44222-222-2-22-2-2-24i−4i4i−4i4i−4i0000-1-111−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-4004-84-44-884-4-4-42-44-24-24-42400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-40044-8-444-4-88-42-4-4-24-2442-4400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4800-8448-84-44-42-4-424444-2-4-4-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-400444-444-44-42222-2-2-2-2-222-20000000000-11-1100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-400444-444-44-42222-2-2-2-2-222-20000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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