Finite Group Databasebeta

← Group #13168406

Character table — Group #13168406

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111
size11112222222222224444444444444446666668888888888888888121212121212121212121212121212121212121818181818181818242424242424242424242424242424243636363636363636363654547272108
order122233366666666633346666666661212224444366612121212121212121212121224466666612121212121212121212224466666666612121212121212121212122444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111-1-11111111111111111-1111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-1111111-1-1-1-1-1-111-1-11-1-1
χ3111111111111111111111111111111111-1-11111111111111111111-1111111111-1-11111-1-111111111111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111-1-1-1-11111111111111111-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-1-1-111-1-111-1-111-111
χ51111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-111-111-1-1111111-1-111-1-111-1-1-1-1-11-1
χ61111111111111111111111111111111-1-111-1-11111111111111111-11-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11
χ71111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111-11
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
χ91111111111111111111-1111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-111-1-1-1-1-1-1-11111-1-1-111-1111111-1-1-1-11
χ101111111111111111111-1111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-1-11111-1-1111111111-1-1-1-1-1-1-111-1-1-11-11-1-1-1-11111-11-1
χ111111111111111111111-1111111111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-1-111-1-111-1-1111-1-1111-1-1-1-11111-1
χ121111111111111111111-1111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-111-1-1-1-1-1-1111-11-1-1-111-1-1-1-11-11
χ131111111111111111111-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11-1-1111111-1-11-11-1-1-111-1-1111-1-1
χ141111111111111111111-1111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1111111-1-1-1-111-1-111-1-1-1-11-1-1111-1-111-1-111-1-11-1-1111-1-1-1-1-1-1111
χ151111111111111111111-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1-11111111-1-111-11-11-1-1-1-111-1-1-111
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11111111-1-1-1-111-111-111111111-1-1-1
χ17222222-1-1222-12-1222-1-122-1-12-1-1-1-12-1-1220022-1-1-1-12222-1-1-1-1-1-1-1-120222-1-1-1-1-1-100-1-122002222-1-1-1-12-1-1-1-1200-1-1-1-100000000-1-1000000000
χ18222222-1-1222-12-1222-1-122-1-12-1-1-1-12-1-12200-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-20222-1-111-1-10011-2-200-2-2-2-21111-2-1-111200-1-1110000000011000000000
χ19222222-1-1222-12-1222-1-122-1-12-1-1-1-12-1-1-2-20022-1-1-1-12222-1-1-1-1-1-1-1-120-2-2-211-1-11100-1-12200-2-2-2-21111211-1-1-20011-1-10000000011000000000
χ20222222-1-1222-12-1222-1-122-1-12-1-1-1-12-1-1-2-200-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-20-2-2-21111110011-2-2002222-1-1-1-1-21111-200111100000000-1-1000000000
χ21222222-1-1222-12-1222-1-1-22-1-12-1-1-1-1211220022-1-1-1-1-2-2-2-211111111-20-222-1-1111100-1-12200-2-2221111-2-1-111-20011-1-100000000-1-1000000000
χ22222222-1-1222-12-1222-1-1-22-1-12-1-1-1-12112200-2-2-1-1-1-1-2-2-2-21111111120-222-1-1-1-1110011-2-20022-2-2-1-1-1-12-1-1-1-1-20011110000000011000000000
χ23222222-1-1222-12-1222-1-1-22-1-12-1-1-1-1211-2-20022-1-1-1-1-2-2-2-211111111-202-2-21111-1-100-1-1220022-2-2-1-1-1-1-21111200-1-1-1-10000000011000000000
χ24222222-1-1222-12-1222-1-1-22-1-12-1-1-1-1211-2-200-2-2-1-1-1-1-2-2-2-211111111202-2-211-1-1-1-10011-2-200-2-2221111211-1-1200-1-11100000000-1-1000000000
χ2522222-122-1-122222-1-12-12-12-1-12-12-1-122222200-1-1-1-1-12-1-122-1-1-1-1-1-1022-1-1220022220000-1-1000000000-1-100-12-1-1-100-1-1-1-122000000-1-100-100
χ2622222-122-1-122222-1-12-12-12-1-12-12-1-12222-2-200-1-1-1-1-12-1-122-1-1-1-1-1-10-22-1-1220022-2-2000011000000000-1-100-1-21-1-1001111-2-20000001100100
χ2722222-122-1-122222-1-12-12-12-1-12-12-1-122-2-22200-1-1-1-1-12-1-122-1-1-1-1-1-102-211-2-200-2-2220000-1-1000000000110012-11100-1-1-1-1-2-20000001100100
χ2822222-122-1-122222-1-12-12-12-1-12-12-1-122-2-2-2-200-1-1-1-1-12-1-122-1-1-1-1-1-10-2-211-2-200-2-2-2-200001100000000011001-211100111122000000-1-100-100
χ2922222-122-1-122222-1-12-1-2-12-1-12-12-1-1-2-2222200-1-1-1-11-211-2-21111110-2-2-1-12200-2-2220000-1-1000000000-1-1001-211100-1-111-22000000-1-100100
χ3022222-122-1-122222-1-12-1-2-12-1-12-12-1-1-2-222-2-200-1-1-1-11-211-2-211111102-2-1-12200-2-2-2-2000011000000000-1-10012-1110011-1-12-20000001100-100
χ3122222-122-1-122222-1-12-1-2-12-1-12-12-1-1-2-2-2-22200-1-1-1-11-211-2-21111110-2211-2-20022220000-1-10000000001100-1-21-1-100-1-1112-20000001100-100
χ3222222-122-1-122222-1-12-1-2-12-1-12-12-1-1-2-2-2-2-2-200-1-1-1-11-211-2-211111102211-2-20022-2-20000110000000001100-12-1-1-10011-1-1-22000000-1-100100
χ332222-122222-12-12-12-1-122-1-12-1-12-12-122002222-1-1-1-12-1-1-1-1-122-1-1-1-122000002200-1-122-1-12200000000-100-1-10-1200-1-1-1-1-1-1002200-1-100000-10
χ342222-122222-12-12-12-1-122-1-12-1-12-12-1220022-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-2200000-2-200-1-1-2-2112200000000100110-120011-1-1-1-100-2-200110000010
χ352222-122222-12-12-12-1-122-1-12-1-12-12-12200-2-222-1-1-1-12-1-1-1-1-122-1-1-1-12-20000022001122-1-1-2-200000000-100-1-101-200-1-1111100-2-200110000010
χ362222-122222-12-12-12-1-122-1-12-1-12-12-12200-2-2-2-2-1-1-1-12-1-1-1-1-122-1-1-1-1-2-200000-2-20011-2-211-2-2000000001001101-200111111002200-1-100000-10
χ372222-122222-12-12-12-1-12-2-1-12-1-12-12-1-2-2002222-1-1-1-1-211111-2-21111-2-200000-2-200-1-122-1-122000000001001101-200-1-1-1-111002-200-1-10000010
χ382222-122222-12-12-12-1-12-2-1-12-1-12-12-1-2-20022-2-2-1-1-1-1-211111-2-211112-2000002200-1-1-2-2112200000000-100-1-101-20011-1-11100-22001100000-10
χ392222-122222-12-12-12-1-12-2-1-12-1-12-12-1-2-200-2-222-1-1-1-1-211111-2-21111-2200000-2-2001122-1-1-2-200000000100110-1200-1-111-1-100-22001100000-10
χ402222-122222-12-12-12-1-12-2-1-12-1-12-12-1-2-200-2-2-2-2-1-1-1-1-211111-2-211112200000220011-2-211-2-200000000-100-1-10-12001111-1-1002-200-1-10000010
χ4122-2-22222-2-22-2-2-2-222220-222-2-2-2-2-22002-2002i−2i22-2-20000000000000002-22-20000002i−2i2i−2i00002i−2i000002-200000002i−2i000000002i−2i000000000
χ4222-2-22222-2-22-2-2-2-222220-222-2-2-2-2-22002-200−2i2i22-2-20000000000000002-22-2000000−2i2i−2i2i0000−2i2i000002-20000000−2i2i00000000−2i2i000000000
χ4322-2-22222-2-22-2-2-2-222220-222-2-2-2-2-2200-22002i−2i22-2-2000000000000000-22-220000002i−2i2i−2i0000−2i2i00000-2200000002i−2i00000000−2i2i000000000
χ4422-2-22222-2-22-2-2-2-222220-222-2-2-2-2-2200-2200−2i2i22-2-2000000000000000-22-22000000−2i2i−2i2i00002i−2i00000-220000000−2i2i000000002i−2i000000000
χ4522-2-222-1-1-2-221-21-222-1-10-2-1-1-2111123−32-2002i−2i-1-11100003−33−333−3−30002-2-11−i3i33−300−ii2i−2i00002i−2i−i3−i3i3i30-11−i3i30003−3−ii00000000−ii000000000
χ4622-2-222-1-1-2-221-21-222-1-10-2-1-1-2111123−32-200−2i2i-1-11100003−33−333−3−30002-2-11i3−i33−300i−i−2i2i0000−2i2ii3i3−i3−i30-11i3−i30003−3i−i00000000i−i000000000
χ4722-2-222-1-1-2-221-21-222-1-10-2-1-1-2111123−3-22002i−2i-1-11100003−33−333−3−3000-221-1−i3i3−3300−ii2i−2i0000−2i2ii3i3−i3−i301-1−i3i3000−33−ii00000000i−i000000000
χ4822-2-222-1-1-2-221-21-222-1-10-2-1-1-2111123−3-2200−2i2i-1-11100003−33−333−3−3000-221-1i3−i3−3300i−i−2i2i00002i−2i−i3−i3i3i301-1i3−i3000−33i−i00000000−ii000000000
χ4922-2-222-1-1-2-221-21-222-1-10-2-1-1-211112−332-2002i−2i-1-1110000−33−33−3−3330002-2-11i3−i3−3300−ii2i−2i00002i−2ii3i3−i3−i30-11i3−i3000−33−ii00000000−ii000000000
χ5022-2-222-1-1-2-221-21-222-1-10-2-1-1-211112−332-200−2i2i-1-1110000−33−33−3−3330002-2-11−i3i3−3300i−i−2i2i0000−2i2i−i3−i3i3i30-11−i3i3000−33i−i00000000i−i000000000
χ5122-2-222-1-1-2-221-21-222-1-10-2-1-1-211112−33-22002i−2i-1-1110000−33−33−3−333000-221-1i3−i33−300−ii2i−2i0000−2i2i−i3−i3i3i301-1i3−i30003−3−ii00000000i−i000000000
χ5222-2-222-1-1-2-221-21-222-1-10-2-1-1-211112−33-2200−2i2i-1-1110000−33−33−3−333000-221-1−i3i33−300i−i−2i2i00002i−2ii3i3−i3−i301-1−i3i30003−3i−i00000000−ii000000000
χ532-22-2222-22-2-2-222-2-22220-2-2-2222-2-2-200002i−2i002-2-22000000000000000000000002i−2i00002i−2i2-2002-22-20000000000002i−2i0000000000002i−2i000
χ542-22-2222-22-2-2-222-2-22220-2-2-2222-2-2-200002i−2i002-2-22000000000000000000000002i−2i00002i−2i-2200-22-220000000000002i−2i000000000000−2i2i000
χ552-22-2222-22-2-2-222-2-22220-2-2-2222-2-2-20000−2i2i002-2-2200000000000000000000000−2i2i0000−2i2i2-2002-22-2000000000000−2i2i000000000000−2i2i000
χ562-22-2222-22-2-2-222-2-22220-2-2-2222-2-2-20000−2i2i002-2-2200000000000000000000000−2i2i0000−2i2i-2200-22-22000000000000−2i2i0000000000002i−2i000
χ5744444-2-2-2-2-24-24-24-2-2-214-2-21-2-21-21-2-2-24400001111-24-2-2-2-2111111004-2-2-2-200-2-2000000000000000001100-20011000000000000000000000
χ5844444-2-2-2-2-24-24-24-2-2-214-2-21-2-21-21-2-2-2-4-400001111-24-2-2-2-211111100-42222002200000000000000000-1-100200-1-1000000000000000000000
χ5944444-2-2-2-2-24-24-24-2-2-21-4-2-21-2-21-21-22244000011112-42222-1-1-1-1-1-100-4-2-2-2-20022000000000000000001100200-1-1000000000000000000000
χ6044444-2-2-2-2-24-24-24-2-2-21-4-2-21-2-21-21-222-4-4000011112-42222-1-1-1-1-1-1004222200-2-200000000000000000-1-100-20011000000000000000000000
χ614444-24-2-244-2-2-2-2-24-21-24-21-2-21-21-2-2-2-200004411114-2-2-211-2-211114000000-2-20000-2-2-2-20000000000-2001100000110000000000000000000
χ624444-24-2-244-2-2-2-2-24-21-24-21-2-21-21-2-2-2-20000-4-411114-2-2-211-2-21111-400000022000022220000000000200-1-100000-1-10000000000000000000
χ634444-24-2-244-2-2-2-2-24-21-2-4-21-2-21-21-2-2220000441111-4222-1-122-1-1-1-1-4000000220000-2-2-2-20000000000200-1-100000110000000000000000000
χ644444-24-2-244-2-2-2-2-24-21-2-4-21-2-21-21-2-2220000-4-41111-4222-1-122-1-1-1-14000000-2-2000022220000000000-2001100000-1-10000000000000000000
χ654444-2-244-2-2-24-24-2-21-2-241-2-21-2-2-2-21440044001111-2-211-2-2-2-2111104000000000-2-20000-2-200000000000000-2-200001111000000000000000
χ664444-2-244-2-2-24-24-2-21-2-241-2-21-2-2-2-214400-4-4001111-2-211-2-2-2-211110-40000000002200002200000000000000220000-1-1-1-1000000000000000
χ674444-2-244-2-2-24-24-2-21-2-2-41-2-21-2-2-2-21-4-4004400111122-1-12222-1-1-1-10-4000000000-2-20000-2-20000000000000022000011-1-1000000000000000
χ684444-2-244-2-2-24-24-2-21-2-2-41-2-21-2-2-2-21-4-400-4-400111122-1-12222-1-1-1-1040000000002200002200000000000000-2-20000-1-111000000000000000
χ6944-4-44-244224-4-4-4-4-2-24-2024-22-42-42-2004-40000-2-222000000000000000-224-4000000000000000000000-220000000000000000000000000000
χ7044-4-44-244224-4-4-4-4-2-24-2024-22-42-42-200-440000-2-2220000000000000002-2-440000000000000000000002-20000000000000000000000000000
χ7144-4-44-2-2-22242-42-4-2-2-2102-2122-12-1-223−234-4000011-1-1000023−23−33−3−333000-22-220023−23000000000000000001-100000−33000000000000000000000
χ7244-4-44-2-2-22242-42-4-2-2-2102-2122-12-1-223−23-44000011-1-1000023−23−33−3−3330002-22-200−232300000000000000000-11000003−3000000000000000000000
χ7344-4-44-2-2-22242-42-4-2-2-2102-2122-12-1-2−23234-4000011-1-10000−23233−333−3−3000-22-2200−2323000000000000000001-1000003−3000000000000000000000
χ7444-4-44-2-2-22242-42-4-2-2-2102-2122-12-1-2−2323-44000011-1-10000−23233−333−3−30002-22-20023−2300000000000000000-1100000−33000000000000000000000
χ7544-4-4-2444-4-4-2-42-424-2-2402-2422-42-4-20000004i−4i-2-22200000000000000000000000004i−4i−2i2i00000000000000000000−2i2i0000000000000000000
χ7644-4-4-2444-4-4-2-42-424-2-2402-2422-42-4-2000000−4i4i-2-2220000000000000000000000000−4i4i2i−2i000000000000000000002i−2i0000000000000000000
χ7744-4-4-24-2-2-4-4-222224-21-2021-22-12-12-223−2300004i−4i11-1-10000−3323−23−3−3330000000−2i32i30000−2i2i−2i2i0000000000000i3−i300000i−i0000000000000000000
χ7844-4-4-24-2-2-4-4-222224-21-2021-22-12-12-223−230000−4i4i11-1-10000−3323−23−3−33300000002i3−2i300002i−2i2i−2i0000000000000−i3i300000−ii0000000000000000000
χ7944-4-4-24-2-2-4-4-222224-21-2021-22-12-12-2−232300004i−4i11-1-100003−3−232333−3−300000002i3−2i30000−2i2i−2i2i0000000000000−i3i300000i−i0000000000000000000
χ8044-4-4-24-2-2-4-4-222224-21-2021-22-12-12-2−23230000−4i4i11-1-100003−3−232333−3−30000000−2i32i300002i−2i2i−2i0000000000000i3−i300000−ii0000000000000000000
χ814-44-444-224-4-424-2-4-44-2-20-4224-2-222-400000000-222-200000000000000000000000000000004-400-22-220000000000000000000000000000000
χ824-44-444-224-4-424-2-4-44-2-20-4224-2-222-400000000-222-20000000000000000000000000000000-44002-22-20000000000000000000000000000000
χ834-44-44-24-4-22-4-444-42-24-202-42-24-2-42200004i−4i00-222-2000000000000000000000004i−4i0000−2i2i00000000000000000000−2i2i00000000000000000
χ844-44-44-24-4-22-4-444-42-24-202-42-24-2-4220000−4i4i00-222-200000000000000000000000−4i4i00002i−2i000000000000000000002i−2i00000000000000000
χ854-44-4-244-44-42-4-242-4-2-24022-4-2-242-4200004i−4i00-222-200000000000000000000000−2i2i00004i−4i00000000000000000000−2i2i00000000000000000
χ864-44-4-244-44-42-4-242-4-2-24022-4-2-242-420000−4i4i00-222-2000000000000000000000002i−2i0000−4i4i000000000000000000002i−2i00000000000000000
χ874-44-4-2-24-4-222-4-24221-2-20-1221-2-222-100004i−4i001-1-11003-300003-33-300000000000−2i2i0000−2i2i00000000000000000000i−i3i−3i000000000000000
χ884-44-4-2-24-4-222-4-24221-2-20-1221-2-222-100004i−4i001-1-1100-330000-33-3300000000000−2i2i0000−2i2i00000000000000000000i−i−3i3i000000000000000
χ894-44-4-2-24-4-222-4-24221-2-20-1221-2-222-10000−4i4i001-1-11003-300003-33-3000000000002i−2i00002i−2i00000000000000000000−ii−3i3i000000000000000
χ904-44-4-2-24-4-222-4-24221-2-20-1221-2-222-10000−4i4i001-1-1100-330000-33-33000000000002i−2i00002i−2i00000000000000000000−ii3i−3i000000000000000
χ914-4-44444-4-44-44-4-44-444404-4-4-4-4-444-4000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-4444-22-44-4-2-424-44-2-20422-422-2-2-400000000-22-2200000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000000000
χ934-4-4444-22-44-4-2-424-44-2-20422-422-2-2-400000000-22-22000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000000000
χ944-4-444-24-42-2-44-4-442-24-20-2-422-424-2200000000-22-2200000000000000000000000000000000000000000000000000000000000000023−2300000
χ954-4-444-24-42-2-44-4-442-24-20-2-422-424-2200000000-22-22000000000000000000000000000000000000000000000000000000000000000−232300000
χ964-4-44-244-4-44242-4-2-4-2-240-22-422-4-24200000000-22-22000000000000000000000000000000000000000000000000000000000000023−230000000
χ974-4-44-244-4-44242-4-2-4-2-240-22-422-4-24200000000-22-220000000000000000000000000000000000000000000000000000000000000−23230000000
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
χ10088-8-8-4-48844-4-84-84-42-4-40-2-4-4-2444420000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-4-4-4-444-44444-42220-222-2-2-2-2-2243−43000000-1-1110000−2323−232333−3−30000000000000000000000000000000000000000000000000000000000
χ10288-8-8-4-4-4-444-44444-42220-222-2-2-2-2-22−4343000000-1-111000023−2323−23−3−3330000000000000000000000000000000000000000000000000000000000
χ1038-88-88-4-44-44-848-4-84-4-42044-2-4-424-24000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8-48-448-844-4-44-8-42-404-24-42-4-244000000002-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4-4-44-4444-4-4442220-2-2-2222-2-2-200000000-111-1006-60000-33-330000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4-4-44-4444-4-4442220-2-2-2222-2-2-200000000-111-100-6600003-33-30000000000000000000000000000000000000000000000000000000000
χ1078-8-888-4-444-4-8-4-8484-4-420-44-244-2-424000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-48-44-884-444-4-8-42-40-4-244-242-44000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1098-8-88-4-48-84-4484-8-442-4-40244-244-4-4-2000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-88-4-4-444-44-444-4422202-2-2-2-2-222-200000000-11-110000000033−33−33330000000000000000000000000000000000000000000000000000000000
χ1118-8-88-4-4-444-44-444-4422202-2-2-2-2-222-200000000-11-1100000000−333333−330000000000000000000000000000000000000000000000000000000000

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