Finite Group Databasebeta

← Group #13168607

Character table — Group #13168607

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order1222333446666666663336666666661212121212124444366612121212121212121212224466661212121212121212121212124444441212121212121212666666121212121212121212122446612121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-111-1-111-1-111111111-1-111-1-11111-1-1-1-11-111-1-11-11111-1-111-11-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-11-1-11111111111-1-11111-1-1-1-1-1-1-1-11111-11-1-111-1111-1-111111-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-111-1-11111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-1-111-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-11-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111-111-1-11-1-1-111-1-1-1-11-1-111-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-11-1-111-11-1-1-1-111-1-1-11-1-1-1-1-111-1-111
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-111-1-1-1-111111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-111-1-1-11-1-1-1-1111111-1111111-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-111-1-1111111111111111111-11-1-1111-1-1-111-1-111-1-1-1-1-111-1-1-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111111-1111-1-1-1-1111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11-1111-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-111-1-1-1-1111111111111111-111-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111-11111-1-1-1-111-1111111-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-1-1-1-11111-11
χ17222222-1222-1-12222-12-12-1-12-12-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-1020200-1-1-1-1-1-1222200-1-12200000000-1-1-1-10200-1-102-1-100-1-1-1-1200-1-100000000
χ18222222-1222-1-12222-12-12-1-12-12-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-10-20-20011-1-111222200-1-1-2-20000000011110-200110-2-1-10011-1-1-2001100000000
χ19222222-1222-1-12222-12-12-1-12-12-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-1020200-1-111-1-1-2-2-2-20011-2-20000000011110200-1-1021100-1-111-2001100000000
χ20222222-1222-1-12222-12-12-1-12-12-1-12-1-12222-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-1-1-10-20-200111111-2-2-2-200112200000000-1-1-1-10-200110-211001111200-1-100000000
χ21222222-1-2-22-1-12222-12-12-1-12-12-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-211111111020-200-1-1111122-2-200-1-12200000000-1-1-1-10200-1-10-2110011-1-1-2001100000000
χ22222222-1-2-22-1-12222-12-12-1-12-12-1-12-1-1-2-2-2-21122-2-2-1-1-1-1-2-2111111110-202001111-1-122-2-200-1-1-2-20000000011110-20011021100-1-1-1-1200-1-100000000
χ23222222-1-2-22-1-12222-12-12-1-12-12-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-211111111020-200-1-1-1-111-2-2220011-2-20000000011110200-1-10-2-1-1001111200-1-100000000
χ24222222-1-2-22-1-12222-12-12-1-12-12-1-12-1-1-2-2-2-211-2-222-1-1-1-1-2-2111111110-2020011-1-1-1-1-2-22200112200000000-1-1-1-10-2001102-1-100-1-111-2001100000000
χ2522222-1222-1222-1222-12-1-12-1-1-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-12222222200220000220000002200000000-1-1-1-1-1-1-1-100-1-1-1-10000200-1-100-1-100
χ2622222-1222-1222-1222-12-1-12-1-1-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-12-22-222-2-200-2-2000022000000-2-200000000-11-1-111-1100-1-1110000-20011001100
χ2722222-1222-1222-1222-12-1-12-1-1-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-22-22-2-22200220000-2-2000000-2-2000000001-111-1-11-10011-1-10000-20011001100
χ2822222-1222-1222-1222-12-1-12-1-1-1-12-1-12-1-122220000-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-200-2-20000-2-20000002200000000111111110011110000200-1-100-1-100
χ2922222-12-2-2-1222-1222-12-1-12-1-1-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-2111122-2-2222200-2-20000-2-2000000-2-200000000-1-1-1-1-1-11100111100002001100-1-100
χ3022222-12-2-2-1222-1222-12-1-12-1-1-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-211112-2-2222-2-200220000-2-20000002200000000-11-1-1111-10011-1-10000-200-1-1001100
χ3122222-12-2-2-1222-1222-12-1-12-1-1-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-21111-222-2-2-22200-2-200002200000022000000001-111-1-1-1100-1-1110000-200-1-1001100
χ3222222-12-2-2-1222-1222-12-1-12-1-1-1-12-1-1211-2-2-2-20000-1-1-1-11111-2-21111-2-222-2-2-2-20022000022000000-2-200000000111111-1-100-1-1-1-100002001100-1-100
χ332222-12222222-12-1-122-1-12-1-12-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-12020-1-1002200-1-1-1-1-1-122002200-1-1-1-1000020-1-10020-1-1-1-100-1-10200000-1-10000
χ342222-12222222-12-1-122-1-12-1-12-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1-20-2011002200-1-1-1-1112200-2-20011110000-201100-20-1-11100-1-10-200000110000
χ352222-12222222-12-1-122-1-12-1-12-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-12020-1-100-2-2001111-1-1-2-200-2-2001111000020-1-1002011-1-100110-200000110000
χ362222-12222222-12-1-122-1-12-1-12-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-1-20-201100-2-200111111-2-2002200-1-1-1-10000-201100-20111100110200000-1-10000
χ372222-122-2-2222-12-1-122-1-12-1-12-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-211111120-20-1-100-2-200-1-111112200-2-2001111000020-1-100-20111100-1-10200000-1-10000
χ382222-122-2-2222-12-1-122-1-12-1-12-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-2111111-20201100-2-200-1-111-1-122002200-1-1-1-10000-2011002011-1-100-1-10-200000110000
χ392222-122-2-2222-12-1-122-1-12-1-12-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-211111120-20-1-100220011-1-111-2-2002200-1-1-1-1000020-1-100-20-1-11100110-200000110000
χ402222-122-2-2222-12-1-122-1-12-1-12-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-2111111-20201100220011-1-1-1-1-2-200-2-20011110000-20110020-1-1-1-100110200000-1-10000
χ4122-2-2222002-2-22-2-2-22-2222-2-2-222-2-2-2200000000002-2-220000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i22-2-20000000000000000000002i−2i000000
χ4222-2-2222002-2-22-2-2-22-2222-2-2-222-2-2-2200000000002-2-220000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i22-2-2000000000000000000000−2i2i000000
χ4322-2-2222002-2-22-2-2-22-2222-2-2-222-2-2-2200000000002-2-22000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i-2-222000000000000000000000−2i2i000000
χ4422-2-2222002-2-22-2-2-22-2222-2-2-222-2-2-2200000000002-2-22000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i-2-2220000000000000000000002i−2i000000
χ452-22-22222i−2i-22-2-222-2-2-2222-222-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2-222-2-22i−2i2i−2i2i−2i2i2i−2i−2i000000002-2002i−2i2-2002i−2i00000000000000000000002-200002i−2i0000000000000
χ462-22-22222i−2i-22-2-222-2-2-2222-222-2-22-2-2-22i−2i2i−2i2i−2i−2i2i-2222-2-22i−2i2i−2i2i−2i2i2i−2i−2i00000000-2200−2i2i-2200−2i2i0000000000000000000000-220000−2i2i0000000000000
χ472-22-2222−2i2i-22-2-222-2-2-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i2i−2i-2222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00000000-22002i−2i-22002i−2i0000000000000000000000-2200002i−2i0000000000000
χ482-22-2222−2i2i-22-2-222-2-2-2222-222-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i2-222-2-2−2i2i−2i2i−2i2i−2i−2i2i2i000000002-200−2i2i2-200−2i2i00000000000000000000002-20000−2i2i0000000000000
χ492-22-222-12i−2i-2-11-222-21-2-12-112-1-21-1-2112i−2i2i−2i−ii2i−2i2-2-1-1112i−2i−ii−ii−i−iii000000−i3i3-113−32i−2i2-200−ii00000000003−33−30000−i3i300-11003−3−ii000−i3i300000000
χ502-22-222-12i−2i-2-11-222-21-2-12-112-1-21-1-2112i−2i2i−2i−ii2i−2i2-2-1-1112i−2i−ii−ii−i−iii000000i3−i3-11−332i−2i2-200−ii0000000000−33−330000i3−i300-1100−33−ii000i3−i300000000
χ512-22-222-12i−2i-2-11-222-21-2-12-112-1-21-1-2112i−2i2i−2i−ii−2i2i-22-1-1112i−2i−ii−ii−i−iii000000−i3i31-13−3−2i2i-2200i−i0000000000−33−330000−i3i3001-1003−3i−i000i3−i300000000
χ522-22-222-12i−2i-2-11-222-21-2-12-112-1-21-1-2112i−2i2i−2i−ii−2i2i-22-1-1112i−2i−ii−ii−i−iii000000i3−i31-1−33−2i2i-2200i−i00000000003−33−30000i3−i3001-100−33i−i000−i3i300000000
χ532-22-222-1−2i2i-2-11-222-21-2-12-112-1-21-1-211−2i2i−2i2ii−i2i−2i-22-1-111−2i2ii−ii−iii−i−i000000−i3i31-1−332i−2i-2200−ii00000000003−33−30000−i3i3001-100−33−ii000i3−i300000000
χ542-22-222-1−2i2i-2-11-222-21-2-12-112-1-21-1-211−2i2i−2i2ii−i2i−2i-22-1-111−2i2ii−ii−iii−i−i000000i3−i31-13−32i−2i-2200−ii0000000000−33−330000i3−i3001-1003−3−ii000−i3i300000000
χ552-22-222-1−2i2i-2-11-222-21-2-12-112-1-21-1-211−2i2i−2i2ii−i−2i2i2-2-1-111−2i2ii−ii−iii−i−i000000−i3i3-11−33−2i2i2-200i−i0000000000−33−330000−i3i300-1100−33i−i000−i3i300000000
χ562-22-222-1−2i2i-2-11-222-21-2-12-112-1-21-1-211−2i2i−2i2ii−i−2i2i2-2-1-111−2i2ii−ii−iii−i−i000000i3−i3-113−3−2i2i2-200i−i00000000003−33−30000i3−i300-11003−3i−i000i3−i300000000
χ572-22-2-1222i−2i-22-212-11-2-2-1-121-121-2-11-212i−2i−ii2i−2i2i−2i2-2-1-111−ii2i−2i−ii−i−iii0000−i3i3002-200−ii-113−32i−2i000000−i3i3−i3i3000000−i3i30000-113−300−ii00000003−30000
χ582-22-2-1222i−2i-22-212-11-2-2-1-121-121-2-11-212i−2i−ii2i−2i2i−2i2-2-1-111−ii2i−2i−ii−i−iii0000i3−i3002-200−ii-11−332i−2i000000i3−i3i3−i3000000i3−i30000-11−3300−ii0000000−330000
χ592-22-2-1222i−2i-22-212-11-2-2-1-121-121-2-11-212i−2i−ii2i−2i−2i2i-22-1-111−ii2i−2i−ii−i−iii0000−i3i300-2200i−i1-13−3−2i2i000000i3−i3i3−i3000000−i3i300001-13−300i−i0000000−330000
χ602-22-2-1222i−2i-22-212-11-2-2-1-121-121-2-11-212i−2i−ii2i−2i−2i2i-22-1-111−ii2i−2i−ii−i−iii0000i3−i300-2200i−i1-1−33−2i2i000000−i3i3−i3i3000000i3−i300001-1−3300i−i00000003−30000
χ612-22-2-122−2i2i-22-212-11-2-2-1-121-121-2-11-21−2i2ii−i−2i2i2i−2i-22-1-111i−i−2i2ii−iii−i−i0000−i3i300-2200−ii1-1−332i−2i000000i3−i3i3−i3000000−i3i300001-1−3300−ii00000003−30000
χ622-22-2-122−2i2i-22-212-11-2-2-1-121-121-2-11-21−2i2ii−i−2i2i2i−2i-22-1-111i−i−2i2ii−iii−i−i0000i3−i300-2200−ii1-13−32i−2i000000−i3i3−i3i3000000i3−i300001-13−300−ii0000000−330000
χ632-22-2-122−2i2i-22-212-11-2-2-1-121-121-2-11-21−2i2ii−i−2i2i−2i2i2-2-1-111i−i−2i2ii−iii−i−i0000−i3i3002-200i−i-11−33−2i2i000000−i3i3−i3i3000000−i3i30000-11−3300i−i0000000−330000
χ642-22-2-122−2i2i-22-212-11-2-2-1-121-121-2-11-21−2i2ii−i−2i2i−2i2i2-2-1-111i−i−2i2ii−iii−i−i0000i3−i3002-200i−i-113−3−2i2i000000i3−i3i3−i3000000i3−i30000-113−300i−i00000003−30000
χ6544444-2-244-2-2-24-244-2-2-2-21-2-21-21-2-21-2-2-244-2-200001111-2-211-2-21111040400-2-200-2-200000000000000000000000-200110-2000011000000000000000
χ6644444-2-244-2-2-24-244-2-2-2-21-2-21-21-2-21-2-2-244-2-200001111-2-211-2-211110-40-40022002200000000000000000000000200-1-1020000-1-1000000000000000
χ6744444-2-2-4-4-2-2-24-244-2-2-2-21-2-21-21-2-21-222-4-4220000111122-1-122-1-1-1-1040-400-2-2002200000000000000000000000-20011020000-1-1000000000000000
χ6844444-2-2-4-4-2-2-24-244-2-2-2-21-2-21-21-2-21-222-4-4220000111122-1-122-1-1-1-10-404002200-2-200000000000000000000000200-1-10-2000011000000000000000
χ694444-24-2444-2-2-24-2-2-241-2-21-2-2-2-21-2-2144-2-2-2-244441111-2-2-2-211111100000000-2-200-2-2-2-200-2-20000000000000000000000110000110000000000000
χ704444-24-2444-2-2-24-2-2-241-2-21-2-2-2-21-2-2144-2-2-2-2-4-4-4-41111-2-2-2-2111111000000002200222200220000000000000000000000-1-10000-1-10000000000000
χ714444-24-2-4-44-2-2-24-2-2-241-2-21-2-2-2-21-2-21-4-4222244-4-411112222-1-1-1-1-1-1000000002200-2-22200-2-20000000000000000000000-1-10000110000000000000
χ724444-24-2-4-44-2-2-24-2-2-241-2-21-2-2-2-21-2-21-4-42222-4-44411112222-1-1-1-1-1-100000000-2-20022-2-200220000000000000000000000110000-1-10000000000000
χ734444-2-2444-244-2-2-2-24-2-21-2-21-21-2-21-2-2-2-2-2-2440000111111-2-2-2-211114040-2-20000000000-2-20000000000000000-201100-20001100000000000000000
χ744444-2-2444-244-2-2-2-24-2-21-2-21-21-2-21-2-2-2-2-2-2440000111111-2-2-2-21111-40-4022000000000022000000000000000020-1-1002000-1-100000000000000000
χ754444-2-24-4-4-244-2-2-2-24-2-21-2-21-21-2-21-2-22222-4-400001111-1-12222-1-1-1-140-40-2-20000000000220000000000000000-2011002000-1-100000000000000000
χ764444-2-24-4-4-244-2-2-2-24-2-21-2-21-21-2-21-2-22222-4-400001111-1-12222-1-1-1-1-4040220000000000-2-2000000000000000020-1-100-20001100000000000000000
χ7744-4-444-2004224-4-4-4-2-4-24-22-424-22-42-20000000000-222-20000000000000000000000000000004-400000000-2-22200000000000000000000000000000
χ7844-4-444-2004224-4-4-4-2-4-24-22-424-22-42-20000000000-222-2000000000000000000000000000000-440000000022-2-200000000000000000000000000000
χ7944-4-44-2400-2-4-442-4-4424-2-2-422-2-2-42240000000000-222-200000000000000000000000000000000004i−4i00000000000000000000000000000−2i2i000000
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χ8244-4-4-244004-4-4-2-4224-4-2-2422-4-2422-4-20000000000-222-200000000000000000000000000000000−4i4i002i2i−2i−2i000000000000000000000000000000000
χ834-44-44-244i−4i24-4-4-24-4-424-2-2-4-2-222422-4−2i2i4i−4i4i−4i0000-2-222−2i2i−2i2i4i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ844-44-44-24−4i4i24-4-4-24-4-424-2-2-4-2-222422-42i−2i−4i4i−4i4i0000-2-2222i−2i2i−2i−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ854-44-44-2-24i−4i2-22-4-24-422-2-212-212-1-22-12−2i2i4i−4i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i000000−2i32i30023−2300000000000000000000000000i3−i3000000−33000000000000000
χ864-44-44-2-24i−4i2-22-4-24-422-2-212-212-1-22-12−2i2i4i−4i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i0000002i3−2i300−232300000000000000000000000000−i3i30000003−3000000000000000
χ874-44-44-2-2−4i4i2-22-4-24-422-2-212-212-1-22-122i−2i−4i4i2i−2i000011-1-12i−2i−ii2i−2i−i−iii000000−2i32i300−232300000000000000000000000000i3−i30000003−3000000000000000
χ884-44-44-2-2−4i4i2-22-4-24-422-2-212-212-1-22-122i−2i−4i4i2i−2i000011-1-12i−2i−ii2i−2i−i−iii0000002i3−2i30023−2300000000000000000000000000−i3i3000000−33000000000000000
χ894-44-4-24-24i−4i-4-2224-222-41-2-2-1-2-222122-14i−4i−2i2i−2i2i4i−4i4-411-1-1−2i2i−2i2ii−iii−i−i00000000-2200−2i2i-2200−2i2i00000000000000000000001-10000i−i0000000000000
χ904-44-4-24-24i−4i-4-2224-222-41-2-2-1-2-222122-14i−4i−2i2i−2i2i−4i4i-4411-1-1−2i2i−2i2ii−iii−i−i000000002-2002i−2i2-2002i−2i0000000000000000000000-110000−ii0000000000000
χ914-44-4-24-2−4i4i-4-2224-222-41-2-2-1-2-222122-1−4i4i2i−2i2i−2i4i−4i-4411-1-12i−2i2i−2i−ii−i−iii000000002-200−2i2i2-200−2i2i0000000000000000000000-110000i−i0000000000000
χ924-44-4-24-2−4i4i-4-2224-222-41-2-2-1-2-222122-1−4i4i2i−2i2i−2i−4i4i4-411-1-12i−2i2i−2i−ii−i−iii00000000-22002i−2i-22002i−2i00000000000000000000001-10000−ii0000000000000
χ934-44-4-2-244i−4i24-42-2-22-42-21-221-2-12-2-122−2i2i−2i2i4i−4i000011-1-1i−i−2i2i−2i2iii−i−i0000−2i32i3000000000023−23000000000000000000i3−i3000000−3300000000000000000
χ944-44-4-2-244i−4i24-42-2-22-42-21-221-2-12-2-122−2i2i−2i2i4i−4i000011-1-1i−i−2i2i−2i2iii−i−i00002i3−2i30000000000−2323000000000000000000−i3i30000003−300000000000000000
χ954-44-4-2-24−4i4i24-42-2-22-42-21-221-2-12-2-1222i−2i2i−2i−4i4i000011-1-1−ii2i−2i2i−2i−i−iii0000−2i32i30000000000−2323000000000000000000i3−i30000003−300000000000000000
χ964-44-4-2-24−4i4i24-42-2-22-42-21-221-2-12-2-1222i−2i2i−2i−4i4i000011-1-1−ii2i−2i2i−2i−i−iii00002i3−2i3000000000023−23000000000000000000−i3i3000000−3300000000000000000
χ974-4-4444400-4-44-4-4-44-444444-4-4-4-4-444-400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4444-200-42-2-4-4-4424-24-2-2-42-4224-220000000000-22-22000000000000000000000000000000000000000023−23−232300000000000000000000000000000
χ994-4-4444-200-42-2-4-4-4424-24-2-2-42-4224-220000000000-22-220000000000000000000000000000000000000000−232323−2300000000000000000000000000000
χ1004-4-444-24002-44-42-44-4-24-2-242222-4-2-2-40000000000-22-22000000000000000000000000000000000000000000000000000000000000000000000−2i32i300
χ1014-4-444-24002-44-42-44-4-24-2-242222-4-2-2-40000000000-22-220000000000000000000000000000000000000000000000000000000000000000000002i3−2i300
χ1024-4-44-24400-4-442-42-2-44-2-24-22-42-42-2420000000000-22-2200000000000000000000000000000000000023−23−2323000000000000000000000000000000000
χ1034-4-44-24400-4-442-42-2-44-2-24-22-42-42-2420000000000-22-22000000000000000000000000000000000000−232323−23000000000000000000000000000000000
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
χ10688-8-88-4-400-44484-8-8-44-4-4244-2-4244-2-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-48-400844-4-844-4-82-4-4-244-4-4-244200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4800-4-8-8-444484-42-44-242-44-24-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-444-4444-44222-2-2-222-2-2-220000000000-111-1000000−3i33i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-400-444-4444-44222-2-2-222-2-2-220000000000-111-10000003i3−3i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-48i−8i4-444-4-4444222-222-2-22-2-2-2−4i4i−4i4i−4i4i0000-1-1112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4−8i8i4-444-4-4444222-222-2-22-2-2-24i−4i4i−4i4i−4i0000-1-111−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-40044-4-84-884-4-4-42-44-24-24-42400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-400-84-44-84-4482-4-424444-2-4-4-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-48004-88444-4-8-4-42-4-4-24-2442-4400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-40044-4444-44-42222-2-2-2-2-222-20000000000-11-1100000033−33−3333000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-40044-4444-44-42222-2-2-2-2-222-20000000000-11-11000000−333333−33000000000000000000000000000000000000000000000000000000000000000

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