Finite Group Databasebeta

← Group #13169423

Character table — Group #13169423

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222244444444444444444466668888888888888812121212121212121212121212121212121212121818181818181818181818181818242424242424242424242424242424243636363636363636363636108108
order12223334466666666633366666666612121212121222443666121212121212121212124444666612121212121212121212121244444412121212121212126612121212121212121212121212122446612121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-11-1111111-1-1111111-1-1-1-111-1-11111-1-1-1-1111-11-11111-1-111-1-1-11-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-11-111111-1-1111111-1-111-1-1-1-111-1-1-1-1111111-11-1111-1-111-1-111-1-11-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1111111111111111-11-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1-1-111-1-111-1-1-1-11-1-1-1-111-1-111
χ7111111111111111111111111111111111111-1-1-1-111111111111111-11-11-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-111-1-111-11-1-1-111-1-1-1-111
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-111-1-11111111-1
χ101111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-111-1-1-1-1-11111-1-111-11111-1-1-1-1-11
χ111111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-11111-1-111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111-1-11-1-111-1-1-1-1111-1111-1-111-1-1-11
χ121111111-1-1111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-111-11
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-11111-1-111-1-111-1-11111-1-1-1-1-1-1-111-111-1-11111-1-11-1111-1-111-1-11-1
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11-1-111111-1-1-1-11111-11111-1-1-1-11-1
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-111-1-1111111-11
χ17222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-1222200002222000022222200000000000000-1-1-1-100-1-1-1-1-1-1-1-1200-1-10000-1-100
χ18222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-12-22-2000022-2-2000022-2-2-2-200000000000000-11-1100-1-111-1-111-2001100001100
χ19222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-1-22-220000-2-2220000-2-222-2-2000000000000001-11-10011-1-111-1-1-2001100001100
χ20222222-122-122-12222-1-1-12-1-122-1-12-1-12222-1-10000-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-20000-2-2-2-2220000000000000011110011111111200-1-10000-1-100
χ21222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-2110000-1-1-1-1-2-21111111122-2-2000022220000-2-2-2-2220000000000000011-1-1001111-1-1-1-1-200110000-1-100
χ22222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-2110000-1-1-1-1-2-2111111112-2-22000022-2-20000-2-222-2-2000000000000001-1-110011-1-1-1-111200-1-100001100
χ23222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-2110000-1-1-1-1-2-211111111-222-20000-2-222000022-2-2-2-200000000000000-111-100-1-11111-1-1200-1-100001100
χ24222222-1-2-2-122-12222-1-1-12-1-122-1-12-1-1-2-2-2-2110000-1-1-1-1-2-211111111-2-2220000-2-2-2-2000022222200000000000000-1-11100-1-1-1-11111-200110000-1-100
χ2522222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1020222-1-100-1-122-1-100-1-10000220000-1-1-1-1-1-10202-1-100-1-100-1-10020000-1-10000
χ2622222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-1222222-1-1-1-1-1-122-1-1-1-1-1-10-20-222-1-1001122-1-100110000-2-200001111-1-10-20-2-1-10011001100-20000110000
χ2722222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10202-2-21100-1-1-2-21100-1-10000-2-2000011111102021100-1-100-1-100-20000110000
χ2822222-122222-1222-1-122-1-12-1-1-12-1-12-122-1-122-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-10-20-2-2-2110011-2-21100110000220000-1-1-1-1110-20-211001100110020000-1-10000
χ2922222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-2111111020-222-1-100-1-1-2-21100110000-2-200001111-1-10-20211001100-1-10020000-1-10000
χ3022222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-222-2-2-1-1-1-111-2-21111110-20222-1-10011-2-21100-1-10000220000-1-1-1-1-1-1020-21100-1-1001100-20000110000
χ3122222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-2111111020-2-2-21100-1-122-1-100110000220000-1-1-1-1110-202-1-1001100-1-100-20000110000
χ3222222-12-2-222-1222-1-122-1-12-1-1-12-1-12-1-2-211-2-2-2-222-1-1-1-111-2-21111110-202-2-211001122-1-100-1-10000-2-20000111111020-2-1-100-1-100110020000-1-10000
χ332222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-12020-1-122-1-100-1-122-1-100002200-1-1-1-10000-1-12020-1-1-1-100-1-10002000-1-1000000
χ342222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-122222222-1-1-1-1-1-1-1-122-1-1-1-1-20-20-1-1221100-1-122110000-2-20011110000-1-1-20-20-1-1110011000-200011000000
χ352222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1202011-2-2-1-10011-2-2-1-10000-2-2001111000011202011-1-100-1-1000-200011000000
χ362222-122222-122-1-1222-12-1-12-1-1-12-1-12-1-12222-2-2-2-2-1-1-1-1-1-1-1-122-1-1-1-1-20-2011-2-2110011-2-21100002200-1-1-1-1000011-20-20111100110002000-1-1000000
χ372222-122-2-22-122-1-1222-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-2111120-20-1-122-1-10011-2-2110000-2-20011110000-1-1-2020111100-1-10002000-1-1000000
χ382222-122-2-22-122-1-1222-12-1-12-1-1-12-1-1211-2-2-2-222-2-2-1-1-1-11111-2-21111-2020-1-122110011-2-2-1-100002200-1-1-1-10000-1-120-2011-1-10011000-200011000000
χ392222-122-2-22-122-1-1222-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-2111120-2011-2-2-1-100-1-1221100002200-1-1-1-1000011-2020-1-11100-1-1000-200011000000
χ402222-122-2-22-122-1-1222-12-1-12-1-1-12-1-1211-2-2-2-2-2-222-1-1-1-11111-2-21111-202011-2-21100-1-122-1-10000-2-200111100001120-20-1-1-1-100110002000-1-1000000
χ412-22-222200-222-2-2-2-2-22222-2-2-22-2-2-22200000000002-2-220000000000000000000000000000002-22i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000002-200
χ422-22-222200-222-2-2-2-2-22222-2-2-22-2-2-22200000000002-2-220000000000000000000000000000002-2−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000002-200
χ432-22-222200-222-2-2-2-2-22222-2-2-22-2-2-22200000000002-2-22000000000000000000000000000000-222i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000-2200
χ442-22-222200-222-2-2-2-2-22222-2-2-22-2-2-22200000000002-2-22000000000000000000000000000000-22−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000-2200
χ452-2-222222i−2i-2-2-222-22-2-2222-2-22-222-2-2-22i−2i2i−2i2i−2i2-22i−2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i00002-22-200002i−2i2i−2i0000000000000000002-200002i−2i000000000000000000000
χ462-2-222222i−2i-2-2-222-22-2-2222-2-22-222-2-2-22i−2i2i−2i2i−2i-22−2i2i22-2-22i−2i2i−2i2i−2i2i2i−2i−2i0000-22-220000−2i2i−2i2i000000000000000000-220000−2i2i000000000000000000000
χ472-2-22222−2i2i-2-2-222-22-2-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i2-2−2i2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00002-22-20000−2i2i−2i2i0000000000000000002-20000−2i2i000000000000000000000
χ482-2-22222−2i2i-2-2-222-22-2-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i-222i−2i22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i0000-22-2200002i−2i2i−2i000000000000000000-2200002i−2i000000000000000000000
χ492-2-222-122i−2i-2-2122-2-11-22-1-1-21-112-11-212i−2i−ii2i−2i2-22i−2i-1-111−ii2i−2i−ii−i−iii00002-2-11003−32i−2i−ii00−i3i30000000000−i3i3−i3i3-110000−ii00−i3i3003−300000003−30000
χ502-2-222-122i−2i-2-2122-2-11-22-1-1-21-112-11-212i−2i−ii2i−2i2-22i−2i-1-111−ii2i−2i−ii−i−iii00002-2-1100−332i−2i−ii00i3−i30000000000i3−i3i3−i3-110000−ii00i3−i300−330000000−330000
χ512-2-222-122i−2i-2-2122-2-11-22-1-1-21-112-11-212i−2i−ii2i−2i-22−2i2i-1-111−ii2i−2i−ii−i−iii0000-221-1003−3−2i2ii−i00−i3i30000000000i3−i3i3−i31-10000i−i00−i3i3003−30000000−330000
χ522-2-222-122i−2i-2-2122-2-11-22-1-1-21-112-11-212i−2i−ii2i−2i-22−2i2i-1-111−ii2i−2i−ii−i−iii0000-221-100−33−2i2ii−i00i3−i30000000000−i3i3−i3i31-10000i−i00i3−i300−3300000003−30000
χ532-2-222-12−2i2i-2-2122-2-11-22-1-1-21-112-11-21−2i2ii−i−2i2i2-2−2i2i-1-111i−i−2i2ii−iii−i−i00002-2-11003−3−2i2ii−i00i3−i30000000000i3−i3i3−i3-110000i−i00i3−i3003−300000003−30000
χ542-2-222-12−2i2i-2-2122-2-11-22-1-1-21-112-11-21−2i2ii−i−2i2i2-2−2i2i-1-111i−i−2i2ii−iii−i−i00002-2-1100−33−2i2ii−i00−i3i30000000000−i3i3−i3i3-110000i−i00−i3i300−330000000−330000
χ552-2-222-12−2i2i-2-2122-2-11-22-1-1-21-112-11-21−2i2ii−i−2i2i-222i−2i-1-111i−i−2i2ii−iii−i−i0000-221-1003−32i−2i−ii00i3−i30000000000−i3i3−i3i31-10000−ii00i3−i3003−30000000−330000
χ562-2-222-12−2i2i-2-2122-2-11-22-1-1-21-112-11-21−2i2ii−i−2i2i-222i−2i-1-111i−i−2i2ii−iii−i−i0000-221-100−332i−2i−ii00−i3i30000000000i3−i3i3−i31-10000−ii00−i3i300−3300000003−30000
χ572-2-22-1222i−2i-21-22-112-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000-112-23−300−ii2i−2i−i3i300000000−i3i3−i3i30000-110000−ii−i3i3003−300000003−3000000
χ582-2-22-1222i−2i-21-22-112-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i2-22i−2i-1-111−ii−ii2i−2i−i−iii0000-112-2−3300−ii2i−2ii3−i300000000i3−i3i3−i30000-110000−iii3−i300−330000000−33000000
χ592-2-22-1222i−2i-21-22-112-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii00001-1-223−300i−i−2i2i−i3i300000000i3−i3i3−i300001-10000i−i−i3i3003−30000000−33000000
χ602-2-22-1222i−2i-21-22-112-2-2-12-11-2-11-1211-2−ii2i−2i2i−2i-22−2i2i-1-111−ii−ii2i−2i−i−iii00001-1-22−3300i−i−2i2ii3−i300000000−i3i3−i3i300001-10000i−ii3−i300−3300000003−3000000
χ612-2-22-122−2i2i-21-22-112-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000-112-23−300i−i−2i2ii3−i300000000i3−i3i3−i30000-110000i−ii3−i3003−300000003−3000000
χ622-2-22-122−2i2i-21-22-112-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i2-2−2i2i-1-111i−ii−i−2i2iii−i−i0000-112-2−3300i−i−2i2i−i3i300000000−i3i3−i3i30000-110000i−i−i3i300−330000000−33000000
χ632-2-22-122−2i2i-21-22-112-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i00001-1-223−300−ii2i−2ii3−i300000000−i3i3−i3i300001-10000−iii3−i3003−30000000−33000000
χ642-2-22-122−2i2i-21-22-112-2-2-12-11-2-11-1211-2i−i−2i2i−2i2i-222i−2i-1-111i−ii−i−2i2iii−i−i00001-1-22−3300−ii2i−2i−i3i300000000i3−i3i3−i300001-10000−ii−i3i300−3300000003−3000000
χ6544444-2-244-24-2-244-2-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-21111110404000000-2-2000000-2-200000000000000000-20-200001100110000000000000
χ6644444-2-244-24-2-244-2-2-2-21-2-21-2-2-21-2-2144-2-2-2-200001111-2-2-2-21111110-40-40000002200000022000000000000000002020000-1-100-1-10000000000000
χ6744444-2-2-4-4-24-2-244-2-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-1040-4000000-2-2000000220000000000000000020-20000-1-100110000000000000
χ6844444-2-2-4-4-24-2-244-2-2-2-21-2-21-2-2-21-2-21-4-42222000011112222-1-1-1-1-1-10-40400000022000000-2-200000000000000000-20200001100-1-10000000000000
χ694444-24-244-2-24-2-2-244-21-2-21-2-2-21-2-21-2-2-244-2-200001111-2-211-2-2111140400000-2-2000000-2-2000000000000000000-20-2000110011000000000000000
χ704444-24-244-2-24-2-2-244-21-2-21-2-2-21-2-21-2-2-244-2-200001111-2-211-2-21111-40-4000002200000022000000000000000000202000-1-100-1-1000000000000000
χ714444-24-2-4-4-2-24-2-2-244-21-2-21-2-2-21-2-21-222-4-4220000111122-1-122-1-1-1-140-400000-2-20000002200000000000000000020-2000-1-10011000000000000000
χ724444-24-2-4-4-2-24-2-2-244-21-2-21-2-2-21-2-21-222-4-4220000111122-1-122-1-1-1-1-4040000022000000-2-2000000000000000000-2020001100-1-1000000000000000
χ734444-2-24444-2-24-2-2-2-24-2-21-2-211-2-21-2-2-2-2-2-2444444111111-2-2-2-211110000-2-2-2-20000-2-2-2-200000000000000000011000011000000000000000000000
χ744444-2-24444-2-24-2-2-2-24-2-21-2-211-2-21-2-2-2-2-2-244-4-4-4-4111111-2-2-2-211110000222200002222000000000000000000-1-10000-1-1000000000000000000000
χ754444-2-24-4-44-2-24-2-2-2-24-2-21-2-211-2-21-2-22222-4-444-4-41111-1-12222-1-1-1-10000-2-2-2-200002222000000000000000000110000-1-1000000000000000000000
χ764444-2-24-4-44-2-24-2-2-2-24-2-21-2-211-2-21-2-22222-4-4-4-4441111-1-12222-1-1-1-1000022220000-2-2-2-2000000000000000000-1-1000011000000000000000000000
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χ7944-4-444-200-2-4-42-44-442-2-24-2-2-4-4224220000000000-22-220000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
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χ8144-4-44-24004-42-4-442-2-44-2-24-222-42-2-420000000000-22-220000000000000000000000000000000000000000−232323−2300000000000000000000000000000
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χ854-44-444-2002442-4-4-4-4-2-2-2422-4422-4-2-20000000000-222-2000000000000000000000000000000-4400000000000000000000000000000000000002-200
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χ884-44-4-24400-4-24-422-4-44-24-22-42-22-42-240000000000-222-2000000000000000000000000000000004i−4i00−2i−2i2i2i000000000000000000000000000000000
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χ904-4-4444-24i−4i2-4-4-24-44-42-2-24224-4-2-2-4224i−4i4i−4i−2i2i0000-2-2224i−4i−2i2i−2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-2−4i4i2-4-4-24-44-42-2-24224-4-2-2-422−4i4i−4i4i2i−2i0000-2-222−4i4i2i−2i2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24i−4i2-42-24-4-222-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i000000000023−23000000−2i32i3000000000000000000000000i3−i300−330000000000000
χ934-4-444-2-24i−4i2-42-24-4-222-21-22-1-22-2122-14i−4i−2i2i−2i2i000011-1-1−2i2i−2i2ii−iii−i−i0000000000−23230000002i3−2i3000000000000000000000000−i3i3003−30000000000000
χ944-4-444-2-2−4i4i2-42-24-4-222-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii000000000023−230000002i3−2i3000000000000000000000000−i3i300−330000000000000
χ954-4-444-2-2−4i4i2-42-24-4-222-21-22-1-22-2122-1−4i4i2i−2i2i−2i000011-1-12i−2i2i−2i−ii−i−iii0000000000−2323000000−2i32i3000000000000000000000000i3−i3003−30000000000000
χ964-4-44-24-24i−4i22-4-2-224-421-2-2-12-221-22-12−2i2i4i−4i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i0000000023−23000000−2i32i3000000000000000000000000i3−i300−33000000000000000
χ974-4-44-24-24i−4i22-4-2-224-421-2-2-12-221-22-12−2i2i4i−4i−2i2i000011-1-1−2i2ii−i−2i2iii−i−i00000000−23230000002i3−2i3000000000000000000000000−i3i3003−3000000000000000
χ984-4-44-24-2−4i4i22-4-2-224-421-2-2-12-221-22-122i−2i−4i4i2i−2i000011-1-12i−2i−ii2i−2i−i−iii0000000023−230000002i3−2i3000000000000000000000000−i3i300−33000000000000000
χ994-4-44-24-2−4i4i22-4-2-224-421-2-2-12-221-22-122i−2i−4i4i2i−2i000011-1-12i−2i−ii2i−2i−i−iii00000000−2323000000−2i32i3000000000000000000000000i3−i3003−3000000000000000
χ1004-4-44-2-244i−4i-4224-22-22-4-2-21221-1-2-2-122−2i2i−2i2i4i−4i4-44i−4i11-1-1i−i−2i2i−2i2iii−i−i0000-22-220000−2i2i−2i2i0000000000000000001-10000i−i000000000000000000000
χ1014-4-44-2-244i−4i-4224-22-22-4-2-21221-1-2-2-122−2i2i−2i2i4i−4i-44−4i4i11-1-1i−i−2i2i−2i2iii−i−i00002-22-200002i−2i2i−2i000000000000000000-110000−ii000000000000000000000
χ1024-4-44-2-24−4i4i-4224-22-22-4-2-21221-1-2-2-1222i−2i2i−2i−4i4i4-4−4i4i11-1-1−ii2i−2i2i−2i−i−iii0000-22-2200002i−2i2i−2i0000000000000000001-10000−ii000000000000000000000
χ1034-4-44-2-24−4i4i-4224-22-22-4-2-21221-1-2-2-1222i−2i2i−2i−4i4i-444i−4i11-1-1−ii2i−2i2i−2i−i−iii00002-22-20000−2i2i−2i2i000000000000000000-110000i−i000000000000000000000
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
χ10688-8-88-4-400-4-844-884-44-42-4-42444-2-44-200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-48-400-44-844-4-8842-4-42-444-24-4-2400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4800844-84-44-4-8-4-42-4-4-2-24424400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-44444-44-4422222-2-2-2-22-2-20000000000-11-1100000033−3333−33000000000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4-400-44444-44-4422222-2-2-2-22-2-20000000000-11-11000000−3333−3333000000000000000000000000000000000000000000000000000000000000000
χ1118-88-88-4-40048-44-8-844-4-42-44-24-44-24-4200000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-4004-48444-8-8-42-4-4-244-4-2442-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800-8-4-4-844448-4-4244-2244-2-4-400000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-4004-4-444444-4222-2-2-22-2-2-2220000000000-111-1000000−3i33i33i3−3i3000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-4004-4-444444-4222-2-2-22-2-2-2220000000000-111-10000003i3−3i3−3i33i3000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-48i−8i444-4-44-444222-2-22-222-2-2-2−4i4i−4i4i−4i4i0000-1-1112i−2i2i−2i2i−2i−i−iii000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-4−8i8i444-4-44-444222-2-22-222-2-2-24i−4i4i−4i4i−4i0000-1-111−2i2i−2i2i−2i2iii−i−i000000000000000000000000000000000000000000000000000000000000000

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