Finite Group Databasebeta

← Group #13168036

Character table — Group #13168036

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order1222333666666666333466666666612122222443666121212121212121212121212244666666661212121212121212444412121212666666661212121212121212244466121212124412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-111111111111111111-1111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-11-11-111-1-1-1-1-1-11-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-11-1-11111-11-11-1-1-1-111-1-1-11-1
χ4111111111111111111111111111111111-1-1-1-111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11
χ51111111111111111111111111111111-1-111111111111111111111-11111-1-1-1-1111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-1-1111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-1-1-1-1-11-11-1-1-1-11111-111
χ71111111111111111111111111111111-1-1-1-1111111111111111111-11-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111-11-111-1-1-1-1111-11
χ81111111111111111111111111111111-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-111-1-111-1-11111-1-11111-1-1-11-1-111-1-11-1-1111-1-1-1-111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11111-1-11111-1-11111-1-1-1-111-1-11-111-1-111-111-1-1-1-1-111111-1-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-1111
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-11111-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111-1-1-1-111-1-111-1-111111111-1-111-11-1-111-1-1-111-1-1-1-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111-1-11111-1-1111111-1-1-1-1111-111-1-1111-1-1111-1-1-1-1-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-111-1-111111111-1-1-1
χ17222222-1-12-122-12222-1-122-1-1-1-1-12-1222222200-1-1-1-1-12-1-1-1-122-1-1-1-12022222-1-1-1-100220000000000002-1-1-1-1-1-1-1-10-1-100002020-1-1000000-100
χ18222222-1-12-122-12222-1-122-1-1-1-1-12-122222-2-200-1-1-1-1-12-1-1-1-122-1-1-1-120-2-2-222-1-11100-2-20000000000002-111-1-1-1-110110000-20-2011000000100
χ19222222-1-12-122-12222-1-122-1-1-1-1-12-1222-2-22200-1-1-1-1-12-1-1-1-122-1-1-1-1-20222-2-211-1-10022000000000000-21-1-11111-10-1-10000-20-2011000000100
χ20222222-1-12-122-12222-1-122-1-1-1-1-12-1222-2-2-2-200-1-1-1-1-12-1-1-1-122-1-1-1-1-20-2-2-2-2-2111100-2-2000000000000-21111111101100002020-1-1000000-100
χ21222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-2222200-1-1-1-11-21111-2-21111-20-22222-1-1-1-100-2-2000000000000-21-1-1-1-1111011000020-20-1-1000000100
χ22222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-222-2-200-1-1-1-11-21111-2-21111-202-2-222-1-1110022000000000000-2111-1-111-10-1-10000-202011000000-100
χ23222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-22200-1-1-1-11-21111-2-2111120-222-2-211-1-100-2-20000000000002-1-1-111-1-110110000-202011000000-100
χ24222222-1-12-122-12222-1-1-22-1-1-1-1-12-12-2-2-2-2-2-200-1-1-1-11-21111-2-21111202-2-2-2-2111100220000000000002-11111-1-1-10-1-1000020-20-1-1000000100
χ2522222-122-122-1222-1-12-12-12-1-12-1-12-122220022-1-1-1-12-122-1-1-1-1-1-1-1-122000-1-12200220022-1-100000000-1200-1-1-1-10-100-1-1-1-102020000-1-1000-10
χ2622222-122-122-1222-1-12-12-12-1-12-1-12-1222200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-12-2000-1-12200-2-200-2-21100000000-1200-1-1-1-1010011110-20-200001100010
χ2722222-122-122-1222-1-12-12-12-1-12-1-12-122-2-20022-1-1-1-12-122-1-1-1-1-1-1-1-1-2200011-2-200220022-1-1000000001-20011110-100-1-1-1-10-20-200001100010
χ2822222-122-122-1222-1-12-12-12-1-12-1-12-122-2-200-2-2-1-1-1-12-122-1-1-1-1-1-1-1-1-2-200011-2-200-2-200-2-211000000001-20011110100111102020000-1-1000-10
χ2922222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-2220022-1-1-1-1-21-2-211111111-2-2000-1-122002200-2-2-1-1000000001-200-1-111010011-1-1020-20000-1-100010
χ3022222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-22200-2-2-1-1-1-1-21-2-211111111-22000-1-12200-2-2002211000000001-200-1-1110-100-1-1110-202000011000-10
χ3122222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-2-2-20022-1-1-1-1-21-2-2111111112-200011-2-2002200-2-2-1-100000000-120011-1-1010011-1-10-202000011000-10
χ3222222-122-122-1222-1-12-1-2-12-1-12-1-12-1-2-2-2-200-2-2-1-1-1-1-21-2-2111111112200011-2-200-2-200221100000000-120011-1-10-100-1-111020-20000-1-100010
χ332222-122222-122-1-12-1-122-1-122-12-1-1-1-1-1002222-1-1-1-122-1-122-1-1-1-1-1-1022-1-1000022-1-1-1-1-1-1222222-1-1-1-100-1-1000022-1-1-1-1-1-1000000-1-10000000
χ342222-122222-122-1-12-1-122-1-122-12-1-1-1-1-10022-2-2-1-1-1-122-1-122-1-1-1-1-1-10-22-1-100002211-1-111-2-2-2-2-2-2111100-1-100002-2-1-11111000000110000000
χ352222-122222-122-1-12-1-122-1-122-12-1-1-1-1-100-2-222-1-1-1-122-1-122-1-1-1-1-1-102-2110000-2-2-1-111-1-122-2-2-2-2111100110000-2211-1-1-1-1000000110000000
χ362222-122222-122-1-12-1-122-1-122-12-1-1-1-1-100-2-2-2-2-1-1-1-122-1-122-1-1-1-1-1-10-2-2110000-2-2111111-2-22222-1-1-1-100110000-2-2111111000000-1-10000000
χ372222-122222-122-1-12-1-12-2-1-122-12-1-1-111002222-1-1-1-1-2-211-2-21111110-2-2-1-1000022-1-1111122-2-222111100-1-10000-2-21111-1-1000000-1-10000000
χ382222-122222-122-1-12-1-12-2-1-122-12-1-1-1110022-2-2-1-1-1-1-2-211-2-211111102-2-1-10000221111-1-1-2-222-2-2-1-1-1-100-1-10000-2211-1-111000000110000000
χ392222-122222-122-1-12-1-12-2-1-122-12-1-1-11100-2-222-1-1-1-1-2-211-2-21111110-22110000-2-2-1-1-1-1112222-2-2-1-1-1-1001100002-2-1-111-1-1000000110000000
χ402222-122222-122-1-12-1-12-2-1-122-12-1-1-11100-2-2-2-2-1-1-1-1-2-211-2-2111111022110000-2-211-1-1-1-1-2-2-2-22211110011000022-1-1-1-111000000-1-10000000
χ4122-2-22222-2-22-2-2-2-222220-2-2-2-222-2-22002-200002-2-22000000000000000002-22-200000000002i−2i002i2i−2i−2i00002-2000000000000000000002i−2i000
χ4222-2-22222-2-22-2-2-2-222220-2-2-2-222-2-22002-200002-2-22000000000000000002-22-20000000000−2i2i00−2i−2i2i2i00002-200000000000000000000−2i2i000
χ4322-2-22222-2-22-2-2-2-222220-2-2-2-222-2-2200-2200002-2-2200000000000000000-22-2200000000002i−2i002i2i−2i−2i0000-2200000000000000000000−2i2i000
χ4422-2-22222-2-22-2-2-2-222220-2-2-2-222-2-2200-2200002-2-2200000000000000000-22-220000000000−2i2i00−2i−2i2i2i0000-22000000000000000000002i−2i000
χ452-22-2222-22-2-2-222-2-22220-222-2-2-22-2-200002-22i−2i22-2-20000000000000002-200002-22i−2i00002i−2i002i−2i0000002-200000000002i−2i0000002i−2i0000000
χ462-22-2222-22-2-2-222-2-22220-222-2-2-22-2-200002-2−2i2i22-2-20000000000000002-200002-2−2i2i0000−2i2i00−2i2i0000002-20000000000−2i2i000000−2i2i0000000
χ472-22-2222-22-2-2-222-2-22220-222-2-2-22-2-20000-222i−2i22-2-2000000000000000-220000-222i−2i00002i−2i00−2i2i000000-2200000000002i−2i000000−2i2i0000000
χ482-22-2222-22-2-2-222-2-22220-222-2-2-22-2-20000-22−2i2i22-2-2000000000000000-220000-22−2i2i0000−2i2i002i−2i000000-220000000000−2i2i0000002i−2i0000000
χ492-22-2-122-22-21-22-11-2-1-1201-12-21-2-1113−3002-22i−2i-1-111003−3003−333−3−3000-1100002-2−ii3−3−i3i32i−2i002i−2i−i3i3−i3i300-110000003−3−i3i3−ii000000−ii0000000
χ502-22-2-122-22-21-22-11-2-1-1201-12-21-2-1113−3002-2−2i2i-1-111003−3003−333−3−3000-1100002-2i−i3−3i3−i3−2i2i00−2i2ii3−i3i3−i300-110000003−3i3−i3i−i000000i−i0000000
χ512-22-2-122-22-21-22-11-2-1-1201-12-21-2-1113−300-222i−2i-1-111003−3003−333−3−30001-10000-22−ii−33−i3i32i−2i00−2i2ii3−i3i3−i3001-1000000−33−i3i3−ii000000i−i0000000
χ522-22-2-122-22-21-22-11-2-1-1201-12-21-2-1113−300-22−2i2i-1-111003−3003−333−3−30001-10000-22i−i−33i3−i3−2i2i002i−2i−i3i3−i3i3001-1000000−33i3−i3i−i000000−ii0000000
χ532-22-2-122-22-21-22-11-2-1-1201-12-21-2-111−33002-22i−2i-1-11100−3300−33−3−333000-1100002-2−ii−33i3−i32i−2i002i−2ii3−i3i3−i300-11000000−33i3−i3−ii000000−ii0000000
χ542-22-2-122-22-21-22-11-2-1-1201-12-21-2-111−33002-2−2i2i-1-11100−3300−33−3−333000-1100002-2i−i−33−i3i3−2i2i00−2i2i−i3i3−i3i300-11000000−33−i3i3i−i000000i−i0000000
χ552-22-2-122-22-21-22-11-2-1-1201-12-21-2-111−3300-222i−2i-1-11100−3300−33−3−3330001-10000-22−ii3−3i3−i32i−2i00−2i2i−i3i3−i3i3001-10000003−3i3−i3−ii000000i−i0000000
χ562-22-2-122-22-21-22-11-2-1-1201-12-21-2-111−3300-22−2i2i-1-11100−3300−33−3−3330001-10000-22i−i3−3−i3i3−2i2i002i−2ii3−i3i3−i3001-10000003−3−i3i3i−i000000−ii0000000
χ5744444-2-2-2-2-24-2-244-2-2-214-2-211-21-2-2-2444400001111-2-2-2-211-2-2111140000-2-2-2-2000000000000000000-2-200111100000000000000000000000
χ5844444-2-2-2-2-24-2-244-2-2-214-2-211-21-2-2-244-4-400001111-2-2-2-211-2-21111-4000022220000000000000000002200-1-1-1-100000000000000000000000
χ5944444-2-2-2-2-24-2-244-2-2-21-4-2-211-21-2-2-2-4-444000011112222-1-122-1-1-1-1-40000-2-2-2-2000000000000000000220011-1-100000000000000000000000
χ6044444-2-2-2-2-24-2-244-2-2-21-4-2-211-21-2-2-2-4-4-4-4000011112222-1-122-1-1-1-1400002222000000000000000000-2-200-1-11100000000000000000000000
χ614444-24-2-24-2-24-2-2-24-21-24-21-2-21-2-21-2-2-20044001111-2411-2-2-2-21111004-2-20000-2-200-2-200000000000000110000-20110000000000000000000
χ624444-24-2-24-2-24-2-2-24-21-24-21-2-21-2-21-2-2-200-4-4001111-2411-2-2-2-2111100-422000022002200000000000000-1-1000020-1-10000000000000000000
χ634444-24-2-24-2-24-2-2-24-21-2-4-21-2-21-2-21-22200440011112-4-1-12222-1-1-1-100-4-2-20000-2-200220000000000000011000020-1-10000000000000000000
χ644444-24-2-24-2-24-2-2-24-21-2-4-21-2-21-2-21-22200-4-40011112-4-1-12222-1-1-1-10042200002200-2-200000000000000-1-10000-20110000000000000000000
χ654444-2-244-24-2-24-2-2-21-2-241-2-2-2-2-21-21-2-200004411114-2-2-2-2-211111104000000000-2-200-2-2-2-200000000000000000-2001111000000000000000
χ664444-2-244-24-2-24-2-2-21-2-241-2-2-2-2-21-21-2-20000-4-411114-2-2-2-2-21111110-40000000002200222200000000000000000200-1-1-1-1000000000000000
χ674444-2-244-24-2-24-2-2-21-2-2-41-2-2-2-2-21-21220000441111-422222-1-1-1-1-1-10-4000000000-2-20022-2-200000000000000000200-1-111000000000000000
χ684444-2-244-24-2-24-2-2-21-2-2-41-2-2-2-2-21-21220000-4-41111-422222-1-1-1-1-1-1040000000002200-2-22200000000000000000-20011-1-1000000000000000
χ6944-4-444-2-2-424-42-4-444-2-20-4222-2-2-424004-40000-222-2000000000000000004-4-220000000000000000000000-220000000000000000000000000
χ7044-4-444-2-2-424-42-4-444-2-20-4222-2-2-42400-440000-222-200000000000000000-442-200000000000000000000002-20000000000000000000000000
χ7144-4-44-2442-442-4-4-4-2-24-202-4224-22-4-2004-40000-222-200000000000000000-224-40000000000000000000000-220000000000000000000000000
χ7244-4-44-2442-442-4-4-4-2-24-202-4224-22-4-200-440000-222-2000000000000000002-2-4400000000000000000000002-20000000000000000000000000
χ7344-4-44-2-2-222422-4-4-2-2-21022-1-1-2122-2004-400001-1-1100003-3003-33-300000-22-2200000000000000000000001-13-300000000000000000000000
χ7444-4-44-2-2-222422-4-4-2-2-21022-1-1-2122-2004-400001-1-110000-3300-33-3300000-22-2200000000000000000000001-1-3300000000000000000000000
χ7544-4-44-2-2-222422-4-4-2-2-21022-1-1-2122-200-4400001-1-1100003-3003-33-3000002-22-20000000000000000000000-11-3300000000000000000000000
χ7644-4-44-2-2-222422-4-4-2-2-21022-1-1-2122-200-4400001-1-110000-3300-33-33000002-22-20000000000000000000000-113-300000000000000000000000
χ7744-4-4-2444-4-4-2-4-4224-2-24022-4-4-2422-200000000-222-200000000000000000000000000000004i−4i00−2i−2i2i2i0000000000000000000000000000000
χ7844-4-4-2444-4-4-2-4-4224-2-24022-4-4-2422-200000000-222-20000000000000000000000000000000−4i4i002i2i−2i−2i0000000000000000000000000000000
χ794-44-444-2242-4-4-24-4-44-2-20-4-2-222242-400004-400-2-2220000000000000004-40000-22000000000000000000-22000000000000000000000000000
χ804-44-444-2242-4-4-24-4-44-2-20-4-2-222242-40000-4400-2-222000000000000000-4400002-20000000000000000002-2000000000000000000000000000
χ814-44-44-24-4-2-4-4244-42-24-2024-22-42-2-420000004i−4i-2-222000000000000000000000004i−4i0000−2i2i0000000000000000000000−2i2i000000000000000
χ824-44-44-24-4-2-4-4244-42-24-2024-22-42-2-42000000−4i4i-2-22200000000000000000000000−4i4i00002i−2i00000000000000000000002i−2i000000000000000
χ834-44-4-24-22422-4-2-22-4-21-2021-22-12-2-1223−23004-40011-1-100−330023−23−3−333000-220000-220023−23000000000000001-1000000−330000000000000000000
χ844-44-4-24-22422-4-2-22-4-21-2021-22-12-2-1223−2300-440011-1-100−330023−23−3−3330002-200002-200−232300000000000000-110000003−30000000000000000000
χ854-44-4-24-22422-4-2-22-4-21-2021-22-12-2-12−2323004-40011-1-1003−300−232333−3−3000-220000-2200−2323000000000000001-10000003−30000000000000000000
χ864-44-4-24-22422-4-2-22-4-21-2021-22-12-2-12−232300-440011-1-1003−300−232333−3−30002-200002-20023−2300000000000000-11000000−330000000000000000000
χ874-44-4-2-24-4-2-4224-2221-2-20-1-2-222212-123−2300004i−4i11-1-10023−2300−33−3−33300000000000−2i2i00−2i32i3−2i2i00000000000000000000i3−i3i−i000000000000000
χ884-44-4-2-24-4-2-4224-2221-2-20-1-2-222212-123−230000−4i4i11-1-10023−2300−33−3−333000000000002i−2i002i3−2i32i−2i00000000000000000000−i3i3−ii000000000000000
χ894-44-4-2-24-4-2-4224-2221-2-20-1-2-222212-1−232300004i−4i11-1-100−2323003−333−3−300000000000−2i2i002i3−2i3−2i2i00000000000000000000−i3i3i−i000000000000000
χ904-44-4-2-24-4-2-4224-2221-2-20-1-2-222212-1−23230000−4i4i11-1-100−2323003−333−3−3000000000002i−2i00−2i32i32i−2i00000000000000000000i3−i3−ii000000000000000
χ914-4-44444-4-44-44-4-44-444404-4-44-4-4-44-4000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-22-4-2-442-44-44-2-20422-222-4-2-400000000-22-2200000000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ934-4-4444-22-4-2-442-44-44-2-20422-222-4-2-400000000-22-22000000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ944-4-444-24-424-4-2-4-442-24-20-2-42-2-4224200000000-22-2200000000000000000000000000000000000000000000000000000000000000023−2300000
χ954-4-444-24-424-4-2-4-442-24-20-2-42-2-4224200000000-22-22000000000000000000000000000000000000000000000000000000000000000−232300000
χ964-4-44-244-4-4424-42-2-4-2-240-22-442-42-2200000000-22-220000000000000000000000000000000000023−23−23230000000000000000000000000000000
χ974-4-44-244-4-4424-42-2-4-2-240-22-442-42-2200000000-22-2200000000000000000000000000000000000−232323−230000000000000000000000000000000
χ988888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4000000-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ998888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244000000-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000000
χ10088-8-8-48-4-4-84-4-84448-42-404-2442-44-2-4000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4884-8-44-844-42-4-40-2444-4-4-242000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-444-44444-42220-2-2-2-222-2-2200000000-111-100006-600-33-330000000000000000000000000000000000000000000000000000000000
χ10388-8-8-4-4-4-444-44444-42220-2-2-2-222-2-2200000000-111-10000-66003-33-30000000000000000000000000000000000000000000000000000000000
χ1048-88-88-4-44-44-84-48-84-4-4204-42-24-2-4440000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-4444-4-4442220-222-2-2-22-2-243−43000000-1-11100−232300−232333−3−30000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-4444-4-4442220-222-2-2-22-2-2−4343000000-1-1110023−230023−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-444-4-8-44-884-4-420-44-224-24-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-8-44844-4-8-42-40-4-24-4-24424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-8484-4-84-442-4-40244-444-2-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44-444-4422202-2-22-2-2-22-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44-444-4422202-2-22-2-2-22-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000

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