Finite Group Databasebeta

← Group #13168234

Character table — Group #13168234

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212224444121212123666121212121212121244466661212121212121212121212121212121212121212121244121212126612121212121212122444466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-11-111111111-1-111-1-1111111111111-1-1-1-1-1-111-1-111-1-1-1-11-11-1-111-1-111-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-11-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-11-1-11-1-1-1-1-1-111111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1111111-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-11111-11-1-11-1-1-1-1-1-1-1-111-1
χ61111111111111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-111-1-111-1-11
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111-11-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-111-1-11111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1111-1-1-11111-1-11-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-11-1-111-1-1-1-11-11-1-1-1-11111-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1111-1-1111111-1-111-11-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-111-1-1-1-1111111111111-11-1-111-1-111-1-1-111-1-1-1-1-1-11-11
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1111111-1-11-111-1-11111-1-1-111-1-1-1-1111-1-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-1-1111111-1-1-1-1-111
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-11-111-1-111-1-11-11-1-1-1-111-1-1-111
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-111111-1-1-1111-1-1-11111111-1-1
χ17222222-122-12-122222-12-1-12-1-1-12-1-1-12-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-102022-1-122-1-1002200-1-122-1-1-1-1-1-1-1-1000000-1-100-1-1000020200-1-100-1-100000
χ18222222-122-12-122222-12-1-12-1-1-12-1-1-12-1-12222-1-1-1-12222-2-21111-1-1-1-1-1-122-1-1-1-10-2022-1-1-2-211002200-1-1-2-211111111000000-1-100-1-10000-20-20011001100000
χ19222222-122-12-122222-12-1-12-1-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-1-1-122-1-1-1-1020-2-21122-1-100-2-2001122-1-1-1-1-1-1-1-10000001100110000-20-20011001100000
χ20222222-122-12-122222-12-1-12-1-1-12-1-1-12-1-12222-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-10-20-2-211-2-21100-2-20011-2-211111111000000110011000020200-1-100-1-100000
χ21222222-1-2-2-12-122222-12-1-12-1-1-12-1-1-1211-2-2-2-2111122-2-222-1-1-1-1-1-1-1-111-2-211110-2022-1-1221100-2-20011-2-2-1-1-1-11111000000-1-100110000-202001100-1-100000
χ22222222-1-2-2-12-122222-12-1-12-1-1-12-1-1-1211-2-2-2-2111122-2-2-2-21111-1-1-1-111-2-2111102022-1-1-2-2-1-100-2-20011221111-1-1-1-1000000-1-10011000020-200-1-1001100000
χ23222222-1-2-2-12-122222-12-1-12-1-1-12-1-1-1211-2-2-2-21111-2-22222-1-1-1-1-1-1-1-111-2-211110-20-2-2112211002200-1-1-2-2-1-1-1-111110000001100-1-1000020-200-1-1001100000
χ24222222-1-2-2-12-122222-12-1-12-1-1-12-1-1-1211-2-2-2-21111-2-222-2-21111-1-1-1-111-2-21111020-2-211-2-2-1-1002200-1-1221111-1-1-1-10000001100-1-10000-202001100-1-100000
χ2522222-1222222-1-1-1222-12-1-1-12-1-122-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1202-1-1220000-1-1-1-1-1-122000000000022-1-1-1-1-1-122-1-1-1-1-1-10002000-1-10000000
χ2622222-1222222-1-1-1222-12-1-1-12-1-122-1-122-1-12222222222000000-1-1-1-1-1-1-1-1-1-1-1-1-20-2-1-122000011-1-111220000000000-2-21111-1-1-2-2-1-11111000-2000110000000
χ2722222-1222222-1-1-1222-12-1-1-12-1-122-1-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-120211-2-20000-1-111-1-1-2-20000000000-2-21111112211-1-1-1-1000-2000110000000
χ2822222-1222222-1-1-1222-12-1-1-12-1-122-1-122-1-1222222-2-2-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-20-211-2-20000111111-2-2000000000022-1-1-1-111-2-21111110002000-1-10000000
χ2922222-12-2-2222-1-1-1222-12-1-1-12-1-122-1-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-11111111120-2-1-1220000-1-11111-2-20000000000-2-21111-1-12-21111-1-10002000-1-10000000
χ3022222-12-2-2222-1-1-1222-12-1-1-12-1-122-1-1-2-211-2-2-2-2-2-222-2-2000000-1-1-1-111111111-202-1-12200001111-1-1-2-2000000000022-1-1-1-1-1-1-2211-1-111000-2000110000000
χ3122222-12-2-2222-1-1-1222-12-1-1-12-1-122-1-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-11111111120-211-2-20000-1-1-1-11122000000000022-1-1-1-1112-2-1-111-1-1000-2000110000000
χ3222222-12-2-2222-1-1-1222-12-1-1-12-1-122-1-1-2-211-2-2-2-2-2-2-2-222000000-1-1-1-111111111-20211-2-2000011-1-1-1-1220000000000-2-2111111-22-1-1-1-1110002000-1-10000000
χ332222-122222-12222-1-12-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-12220000-1-12222002200-1-1-1-1-1-1-1-1-1-100000000-1-100-1-1-1-10200200000000-1-10
χ342222-122222-12222-1-12-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000222222-1-1-1-122-1-1-1-1-1-1-22-20000-1-122-2-200-2-200-1-1-1-1-1-1-1-1-1-100000000110011110-200-200000000110
χ352222-122222-12222-1-12-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-22000011-2-222002200111111111100000000-1-100-1-1-1-10-200-200000000110
χ362222-122222-12222-1-12-1-12-12-12-1-1-12-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-2000011-2-2-2-200-2-200111111111100000000110011110200200000000-1-10
χ372222-122-2-22-12222-1-12-1-12-12-12-1-1-12-1-2-2-2-21111110000222222-1-1-1-1-2-21111112-2-20000-1-1-2-22200-2-20011-1-1-1-1111100000000-110011-1-10200-200000000-110
χ382222-122-2-22-12222-1-12-1-12-12-12-1-1-12-1-2-2-2-21111110000222222-1-1-1-1-2-2111111-2-220000-1-1-2-2-2-200220011-1-1-1-11111000000001-100-1-1110-2002000000001-10
χ392222-122-2-22-12222-1-12-1-12-12-12-1-1-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-211111122-2000011222200-2-200-1-11111-1-1-1-100000000-110011-1-10-2002000000001-10
χ402222-122-2-22-12222-1-12-1-12-12-12-1-1-12-1-2-2-2-21111110000-2-2-2-2-2-2-1-1-1-1-2-2111111-22200001122-2-2002200-1-11111-1-1-1-1000000001-100-1-1110200-200000000-110
χ412-22-222200-22-2-22-2-2-222222-2-2-2-22-22-2000000000000002-222-2-222-2-20000000000000002-200000000000022-2-200002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ422-22-222200-22-2-22-2-2-222222-2-2-2-22-22-2000000000000002-222-2-222-2-20000000000000002-200000000000022-2-20000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
χ432-22-222200-22-2-22-2-2-222222-2-2-2-22-22-200000000000000-22-2-22222-2-2000000000000000-22000000000000-2-22200002i−2i2i2i−2i−2i000000000000000000000−2i2i000
χ442-22-222200-22-2-22-2-2-222222-2-2-2-22-22-200000000000000-22-2-22222-2-2000000000000000-22000000000000-2-2220000−2i2i−2i−2i2i2i0000000000000000000002i−2i000
χ452-2-222222i−2i-2-22-2-22-22-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i2-22i−2i0000002-22-22i−2i2i−2i2i2i−2i−2i0002-22-20000002i−2i002i−2i00000000000000002-2002i−2i00000000000000000000
χ462-2-222222i−2i-2-22-2-22-22-2222-22-2-22-22-2-22i−2i2i−2i2i−2i2i2i−2i−2i-22−2i2i0000002-22-22i−2i2i−2i2i2i−2i−2i000-22-22000000−2i2i00−2i2i0000000000000000-2200−2i2i00000000000000000000
χ472-2-22222−2i2i-2-22-2-22-22-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i2-2−2i2i0000002-22-2−2i2i−2i2i−2i−2i2i2i0002-22-2000000−2i2i00−2i2i00000000000000002-200−2i2i00000000000000000000
χ482-2-22222−2i2i-2-22-2-22-22-2222-22-2-22-22-2-2−2i2i−2i2i−2i2i−2i−2i2i2i-222i−2i0000002-22-2−2i2i−2i2i−2i−2i2i2i000-22-220000002i−2i002i−2i0000000000000000-22002i−2i00000000000000000000
χ492-2-2222-12i−2i1-2-1-2-22-2212-1-1-2-11121-11-2−ii2i−2i2i−2i−i−iii2-22i−2i003−33−3-11-11−ii2i−2i−i−iii0002-2-1100−i3i3002i−2i00−ii003−33−3−i3−i3i3i3000000-1100−ii000000000−i3i3003−300000
χ502-2-2222-12i−2i1-2-1-2-22-2212-1-1-2-11121-11-2−ii2i−2i2i−2i−i−iii2-22i−2i00−33−33-11-11−ii2i−2i−i−iii0002-2-1100i3−i3002i−2i00−ii00−33−33i3i3−i3−i3000000-1100−ii000000000i3−i300−3300000
χ512-2-2222-12i−2i1-2-1-2-22-2212-1-1-2-11121-11-2−ii2i−2i2i−2i−i−iii-22−2i2i003−33−3-11-11−ii2i−2i−i−iii000-221-100−i3i300−2i2i00i−i003−33−3−i3−i3i3i30000001-100i−i000000000i3−i300−3300000
χ522-2-2222-12i−2i1-2-1-2-22-2212-1-1-2-11121-11-2−ii2i−2i2i−2i−i−iii-22−2i2i00−33−33-11-11−ii2i−2i−i−iii000-221-100i3−i300−2i2i00i−i00−33−33i3i3−i3−i30000001-100i−i000000000−i3i3003−300000
χ532-2-2222-1−2i2i1-2-1-2-22-2212-1-1-2-11121-11-2i−i−2i2i−2i2iii−i−i2-2−2i2i003−33−3-11-11i−i−2i2iii−i−i0002-2-1100i3−i300−2i2i00i−i003−33−3i3i3−i3−i3000000-1100i−i000000000i3−i3003−300000
χ542-2-2222-1−2i2i1-2-1-2-22-2212-1-1-2-11121-11-2i−i−2i2i−2i2iii−i−i2-2−2i2i00−33−33-11-11i−i−2i2iii−i−i0002-2-1100−i3i300−2i2i00i−i00−33−33−i3−i3i3i3000000-1100i−i000000000−i3i300−3300000
χ552-2-2222-1−2i2i1-2-1-2-22-2212-1-1-2-11121-11-2i−i−2i2i−2i2iii−i−i-222i−2i003−33−3-11-11i−i−2i2iii−i−i000-221-100i3−i3002i−2i00−ii003−33−3i3i3−i3−i30000001-100−ii000000000−i3i300−3300000
χ562-2-2222-1−2i2i1-2-1-2-22-2212-1-1-2-11121-11-2i−i−2i2i−2i2iii−i−i-222i−2i00−33−33-11-11i−i−2i2iii−i−i000-221-100−i3i3002i−2i00−ii00−33−33−i3−i3i3i30000001-100−ii000000000i3−i3003−300000
χ572-2-222-122i−2i-2-2211-1-22-2-12-11-1-21-1-22112i−2i−ii2i−2i2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii000-112-200003−3−ii−i3i32i−2i000000000000−i3i3−i3i3-1100−ii−i3i33−300000003−30000000
χ582-2-222-122i−2i-2-2211-1-22-2-12-11-1-21-1-22112i−2i−ii2i−2i2i2i−2i−2i2-22i−2i000000-11-11−ii−ii−i−iii000-112-20000−33−iii3−i32i−2i000000000000i3−i3i3−i3-1100−iii3−i3−330000000−330000000
χ592-2-222-122i−2i-2-2211-1-22-2-12-11-1-21-1-22112i−2i−ii2i−2i2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii0001-1-2200003−3i−i−i3i3−2i2i000000000000i3−i3i3−i31-100i−i−i3i33−30000000−330000000
χ602-2-222-122i−2i-2-2211-1-22-2-12-11-1-21-1-22112i−2i−ii2i−2i2i2i−2i−2i-22−2i2i000000-11-11−ii−ii−i−iii0001-1-220000−33i−ii3−i3−2i2i000000000000−i3i3−i3i31-100i−ii3−i3−3300000003−30000000
χ612-2-222-12−2i2i-2-2211-1-22-2-12-11-1-21-1-2211−2i2ii−i−2i2i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i000-112-200003−3i−ii3−i3−2i2i000000000000i3−i3i3−i3-1100i−ii3−i33−300000003−30000000
χ622-2-222-12−2i2i-2-2211-1-22-2-12-11-1-21-1-2211−2i2ii−i−2i2i−2i−2i2i2i2-2−2i2i000000-11-11i−ii−iii−i−i000-112-20000−33i−i−i3i3−2i2i000000000000−i3i3−i3i3-1100i−i−i3i3−330000000−330000000
χ632-2-222-12−2i2i-2-2211-1-22-2-12-11-1-21-1-2211−2i2ii−i−2i2i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i0001-1-2200003−3−iii3−i32i−2i000000000000−i3i3−i3i31-100−iii3−i33−30000000−330000000
χ642-2-222-12−2i2i-2-2211-1-22-2-12-11-1-21-1-2211−2i2ii−i−2i2i−2i−2i2i2i-222i−2i000000-11-11i−ii−iii−i−i0001-1-220000−33−ii−i3i32i−2i000000000000i3−i3i3−i31-100−ii−i3i3−3300000003−30000000
χ6544444-2-244-24-2-2-2-244-2-2-21-21-21-2-2-21-2-2-2-2-244-2-2-2-24444000000111111-2-21111000-2-2-2-2000000-2-200-2-2000000000000000011001100000000000000000000
χ6644444-2-244-24-2-2-2-244-2-2-21-21-21-2-2-21-2-2-2-2-244-2-2-2-2-4-4-4-4000000111111-2-2111100022220000002200220000000000000000-1-100-1-100000000000000000000
χ6744444-2-2-4-4-24-2-2-2-244-2-2-21-21-21-2-2-21-22222-4-4222244-4-40000001111-1-122-1-1-1-1000-2-2-2-200000022002200000000000000001100-1-100000000000000000000
χ6844444-2-2-4-4-24-2-2-2-244-2-2-21-21-21-2-2-21-22222-4-42222-4-4440000001111-1-122-1-1-1-10002222000000-2-200-2-20000000000000000-1-1001100000000000000000000
χ694444-24-244-2-2-2444-2-2-2-21-2-2-21-2-211-2-2-2-244-2-21111000044-2-2-2-21111-2-2-2-211110400000-2-2-2-200000000-2-21111111100000000000000000000000000000000
χ704444-24-244-2-2-2444-2-2-2-21-2-2-21-2-211-2-2-2-244-2-211110000-4-422221111-2-2-2-211110-40000022220000000022-1-1-1-1-1-1-1-100000000000000000000000000000000
χ714444-24-2-4-4-2-2-2444-2-2-2-21-2-2-21-2-211-2-222-4-422-1-1-1-1000044-2-2-2-211112222-1-1-1-10-400000-2-22200000000221111-1-1-1-100000000000000000000000000000000
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χ734444-2-24444-24-2-2-2-2-241-2-21-2-2-21-2-2-2144-2-2-2-2-2-2-2-200000000001111-2-211111140400000000-2-200-2-200000000000000000000-2-20011110000000000000000
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χ754444-2-24-4-44-24-2-2-2-2-241-2-21-2-2-21-2-2-21-4-4222222220000000000111122-1-1-1-1-1-140-400000000-2-2002200000000000000000000-2200-1-1110000000000000000
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χ8444-4-4-24-200-2224-4-4-222-21-2221-22-1-12-20000003-33-300000023−23−23231-1-1100003-33-3000000000000000000023−23−333−3−33−3300000000000000000000000000000000
χ8544-4-4-24-200-2224-4-4-222-21-2221-22-1-12-20000003-33-3000000−232323−231-1-1100003-33-30000000000000000000−23233−3−333−33−300000000000000000000000000000000
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χ8744-4-4-24-200-2224-4-4-222-21-2221-22-1-12-2000000-33-33000000−232323−231-1-110000-33-33000000000000000000023−233−3−33−33−3300000000000000000000000000000000
χ884-44-444-200242-44-4-4-4-24-2-24222-4-22-2-4000000000000004-4-2-222-2-2220000000000000004-4000000000000-2-222000000000000000000000000000000000000
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χ904-44-44-2400-44-42-22-4-44-24-2-22-4224-4-2200000000000000000000-2-22200000000000000000000000000000000000004i−4i−2i−2i2i2i00000000000000000000000000
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χ924-44-4-24400-4-2-4-44-4224-2-24-2-42-42-2242000000000000004-444-4-4-2-222000000000000000-22000000000000-2-222000000000000000000000000000000000000
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χ984-4-444-2-24i−4i2-4-222-2-442-2-21212-1-22-2-12−2i2i−2i2i4i−4i−2i−2i2i2i4-44i−4i0000001-11-1i−i−2i2iii−i−i000-22-22000000−2i2i00−2i2i00000000000000001-100i−i00000000000000000000
χ994-4-444-2-24i−4i2-4-222-2-442-2-21212-1-22-2-12−2i2i−2i2i4i−4i−2i−2i2i2i-44−4i4i0000001-11-1i−i−2i2iii−i−i0002-22-20000002i−2i002i−2i0000000000000000-1100−ii00000000000000000000
χ1004-4-444-2-2−4i4i2-4-222-2-442-2-21212-1-22-2-122i−2i2i−2i−4i4i2i2i−2i−2i4-4−4i4i0000001-11-1−ii2i−2i−i−iii000-22-220000002i−2i002i−2i00000000000000001-100−ii00000000000000000000
χ1014-4-444-2-2−4i4i2-4-222-2-442-2-21212-1-22-2-122i−2i2i−2i−4i4i2i2i−2i−2i-444i−4i0000001-11-1−ii2i−2i−i−iii0002-22-2000000−2i2i00−2i2i0000000000000000-1100i−i00000000000000000000
χ1024-4-44-2444i−4i-424-4-442-2-4-2-24242-4-22-2-424i−4i4i−4i−2i2i−2i−2i2i2i0000000000-22-224i−4i−2i2i−2i−2i2i2i0000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-244−4i4i-424-4-442-2-4-2-24242-4-22-2-42−4i4i−4i4i2i−2i2i2i−2i−2i0000000000-22-22−4i4i2i−2i2i2i−2i−2i0000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-24-24i−4i22-2-4-442-22-21-22-2-12-2-1122−2i2i4i−4i−2i2iii−i−i00000023−2323−231-11-1−2i2i−2i2iii−i−i000000000−2i32i30000000000−33−33i3i3−i3−i300000000000000000000000000000000
χ1054-4-44-24-24i−4i22-2-4-442-22-21-22-2-12-2-1122−2i2i4i−4i−2i2iii−i−i000000−2323−23231-11-1−2i2i−2i2iii−i−i0000000002i3−2i300000000003−33−3−i3−i3i3i300000000000000000000000000000000
χ1064-4-44-24-2−4i4i22-2-4-442-22-21-22-2-12-2-11222i−2i−4i4i2i−2i−i−iii00000023−2323−231-11-12i−2i2i−2i−i−iii0000000002i3−2i30000000000−33−33−i3−i3i3i300000000000000000000000000000000
χ1074-4-44-24-2−4i4i22-2-4-442-22-21-22-2-12-2-11222i−2i−4i4i2i−2i−i−iii000000−2323−23231-11-12i−2i2i−2i−i−iii000000000−2i32i300000000003−33−3i3i3−i3−i300000000000000000000000000000000
χ1084-4-44-2-244i−4i-42422-22-2-41-2-2-1-22212-22-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i0000000000023−2300−2i32i3000000000000000000000000i3−i3−330000000000000000
χ1094-4-44-2-244i−4i-42422-22-2-41-2-2-1-22212-22-14i−4i−2i2i−2i2i−2i−2i2i2i00000000001-11-1−2i2ii−iii−i−i00000000000−2323002i3−2i3000000000000000000000000−i3i33−30000000000000000
χ1104-4-44-2-24−4i4i-42422-22-2-41-2-2-1-22212-22-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii0000000000023−23002i3−2i3000000000000000000000000−i3i3−330000000000000000
χ1114-4-44-2-24−4i4i-42422-22-2-41-2-2-1-22212-22-1−4i4i2i−2i2i−2i2i2i−2i−2i00000000001-11-12i−2i−ii−i−iii00000000000−232300−2i32i3000000000000000000000000i3−i33−30000000000000000
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
χ11488-8-88-4-400-4-84-4448-84-4-424-2-42444-2-4000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-480084-8-444-44-82-4-4-24-4-4-24442000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-400-444-444-444222-2-222-2-2-2-220000006-66-60000000000-111-10000-33-330000000000000000000000000000000000000000000000000000000000000
χ11788-8-8-4-4-400-444-444-444222-2-222-2-2-2-22000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-88-4-4004844-44-8-8-4-4-42-4-24-24-44240000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4800-8-4-84-444482-4-42444-2-44-4-20000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4004-444-4444-42222-2-2-2-22-22-20000006i−6i−6i6i0000000000-1-1110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-4004-444-4444-42222-2-2-2-22-22-2000000−6i6i6i−6i0000000000-1-11100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-48i−8i44-444-44-44222-22-2-22-22-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-11-112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4−8i8i44-444-44-44222-22-2-22-22-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-11-11−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000

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