Finite Group Databasebeta

← Group #13168465

Character table — Group #13168465

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444444444446666666666888888888888121212121212121212121212121212121212121212121212121212121218181818181824242424242424242424363636363636363636363654547272108
order12223334466666666633366666666612121212121212121212224444666636661212121212121212444666666121212121212121212121212121212121212121244121212121212121212121212121224444121212121212446124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-11111111111-1-11111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-11-11-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1111-11-1-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111-1-1-1-111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-11
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111111111111111-1-1-1-11-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1-1-1-1-1-1-1-111111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11-11-111-1-11111-1-11
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
χ91111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11-1-11111-1-11-11
χ101111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-111-1-111-1-1-1-11111111-1-1-11111-1-1-111-1-1-1-1-1-11111-11-1
χ111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-11-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-1111-1-11-111-1-1-1-1111-1-1
χ121111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-1-111
χ131111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-11-1-1-1-11111-1-11111111-1-111-11-1
χ141111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-1-1-111111111111111111-1-1-11111-1-11-1-11-111-1-1-1-1-1-11-11
χ151111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1111111-1-111-1-11111111111-1111-1-1-1-111-111-1-1-1-1-1-111-1-1-111
χ161111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111-1-1-1-111111111-1-11111-1-1-1-1-1-11-11111-1-1-1-111-1-11-1-11111111-1-1
χ17222222-1222-12-12-12222-1-12-1-1-12-12-1-122-1-122-1-1-1-12200002222-1-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-1-1-100220000222200-1-1-1-1000000-1-100-1-100-1-12020000000000-1-10
χ18222222-1222-12-12-12222-1-12-1-1-12-12-1-122-1-122-1-1-1-12200002222-1-1-1-122-1-1-1-1-1-12-2-2-1-1-1-1-1-1-1-100-2-20000-2-22200-1-1-1-10000001100110011-20-20000000000110
χ19222222-1222-12-12-12222-1-12-1-1-12-12-1-122-1-122-1-1-1-1-2-20000-2-2-2-2-1-1-1-122-1-1-1-1-1-1-222111111110022000022-2-2001111000000-1-100-1-100-1-1-20-20000000000110
χ20222222-1222-12-12-12222-1-12-1-1-12-12-1-122-1-122-1-1-1-1-2-20000-2-2-2-2-1-1-1-122-1-1-1-1-1-1-2-2-21111111100-2-20000-2-2-2-200111100000011001100112020000000000-1-10
χ21222222-1-2-22-12-12-12222-1-12-1-1-12-12-1-1-2-211-2-211112200002222-1-1-1-1-2-2111111-22-2-1-1-1-1-1-11100220000-2-2-2-20011110000001-1001100-1-120-20000000000-110
χ22222222-1-2-22-12-12-12222-1-12-1-1-12-12-1-1-2-211-2-211112200002222-1-1-1-1-2-2111111-2-22-1-1-1-1-1-11100-2-2000022-2-2001111000000-1100-1-10011-20200000000001-10
χ23222222-1-2-22-12-12-12222-1-12-1-1-12-12-1-1-2-211-2-21111-2-20000-2-2-2-2-1-1-1-1-2-211111122-2111111-1-100220000-2-22200-1-1-1-10000001-1001100-1-1-20200000000001-10
χ24222222-1-2-22-12-12-12222-1-12-1-1-12-12-1-1-2-211-2-21111-2-20000-2-2-2-2-1-1-1-1-2-21111112-22111111-1-100-2-20000222200-1-1-1-1000000-1100-1-1001120-20000000000-110
χ2522222-1222-122222-12-1-12-1-12-1-1-12-12-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-1222200-1-12200-1-1-1-1-1-1-1-100000000-1-100-1-10002020-1-100-1-100000
χ2622222-1222-122222-12-1-12-1-12-1-1-12-12-12222-1-1-1-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-1-122-1-1-1-120022-1-1-1-122-2-20011-2-200-1-111-1-1-1-100000000110011000-20-2011001100000
χ2722222-1222-122222-12-1-12-1-12-1-1-12-12-12222-1-1-1-1-1-1-2-222221111-1-1-1-1-1-122-1-1-1-1-200-2-21111-2-22200-1-1220011-1-1111100000000-1-100-1-1000-20-2011001100000
χ2822222-1222-122222-12-1-12-1-12-1-1-12-12-12222-1-1-1-1-1-1-2-2-2-2-2-21111-1-1-1-1-1-122-1-1-1-1-200-2-21111-2-2-2-20011-2-20011111111000000001100110002020-1-100-1-100000
χ2922222-12-2-2-122222-12-1-12-1-12-1-1-12-12-1-2-2-2-21111112222-2-2-1-1-1-1-1-1-1-111-2-21111-20022-1-1-1-1-2-2220011-2-20011-1-11111000000001100-1-100020-201100-1-100000
χ3022222-12-2-2-122222-12-1-12-1-12-1-1-12-12-1-2-2-2-211111122-2-222-1-1-1-1-1-1-1-111-2-21111-20022-1-1-1-1-2-2-2-200-1-122001111111100000000-1-10011000-2020-1-1001100000
χ3122222-12-2-2-122222-12-1-12-1-12-1-1-12-12-1-2-2-2-2111111-2-222-2-21111-1-1-1-111-2-21111200-2-2111122220011-2-200-1-1-1-1-1-1-1-1000000001100-1-1000-2020-1-1001100000
χ3222222-12-2-2-122222-12-1-12-1-12-1-1-12-12-1-2-2-2-2111111-2-2-2-2221111-1-1-1-111-2-21111200-2-2111122-2-200-1-12200-1-111-1-1-1-100000000-1-1001100020-201100-1-100000
χ332222-1222222-12-122-12-1-12-1-122-1-1-1-12-1-1222222220022220000-1-1-1-1-1-1-1-1-1-1-1-102200000000-1-1-1-122-1-1-1-10022000022-1-1-1-122-1-1-1-1-1-1-1-10000200-1-10000000
χ342222-1222222-12-122-12-1-12-1-122-1-1-1-12-1-1222222220022220000-1-1-1-1-1-1-1-1-1-1-1-10-2-200000000-1-11122-1-11100220000-2-21111-2-2-1-111-1-1110000-200110000000
χ352222-1222222-12-122-12-1-12-1-122-1-1-1-12-1-12222222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-10220000000011-1-1-2-211-1-100-2-20000-2-211112211-1-111-1-10000-200110000000
χ362222-1222222-12-122-12-1-12-1-122-1-1-1-12-1-12222222200-2-2-2-20000-1-1-1-1-1-1-1-1-1-1-1-10-2-2000000001111-2-2111100-2-2000022-1-1-1-1-2-2111111110000200-1-10000000
χ372222-122-2-222-12-122-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20022-2-20000-1-1-1-11111111102-200000000-1-1-1-1-2-2111100220000-2-21111-221111-1-1-1-10000200-1-10000000
χ382222-122-2-222-12-122-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-20022-2-20000-1-1-1-1111111110-2200000000-1-111-2-211-1-10022000022-1-1-1-12-211-1-1-1-1110000-200110000000
χ392222-122-2-222-12-122-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-200-2-2220000-1-1-1-11111111102-20000000011-1-122-1-11100-2-2000022-1-1-1-1-22-1-11111-1-10000-200110000000
χ402222-122-2-222-12-122-12-1-12-1-122-1-1-1-1211-2-2-2-2-2-2-2-200-2-2220000-1-1-1-1111111110-2200000000111122-1-1-1-100-2-20000-2-211112-2-1-1-1-111110000200-1-10000000
χ4122-2-222200-2-222-2-2-2-22222-2-2-2-2-2-222200000000002-2000022-2-22-2-22000000000002-222-2-2000000000000000000002i−2i2i2i−2i−2i0000000000000000000002i−2i000
χ4222-2-222200-2-222-2-2-2-22222-2-2-2-2-2-222200000000002-2000022-2-22-2-22000000000002-222-2-200000000000000000000−2i2i−2i−2i2i2i000000000000000000000−2i2i000
χ4322-2-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000000000-220000-2-2222-2-2200000000000-22-2-222000000000000000000002i−2i2i2i−2i−2i000000000000000000000−2i2i000
χ4422-2-222200-2-222-2-2-2-22222-2-2-2-2-2-22220000000000-220000-2-2222-2-2200000000000-22-2-22200000000000000000000−2i2i−2i−2i2i2i0000000000000000000002i−2i000
χ452-2-222222i−2i-22-2-2-2-222-2222-2-22-222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i002i−2i2-2000022-2-22i−2i2i−2i2i2i−2i−2i000000000002i−2i002-22-200002i−2i0000000000002-2002i−2i000000000000000000
χ462-2-222222i−2i-22-2-2-2-222-2222-2-22-222-2-2-22i−2i2i−2i2i−2i2i2i−2i−2i00−2i2i-22000022-2-22i−2i2i−2i2i2i−2i−2i00000000000−2i2i00-22-220000−2i2i000000000000-2200−2i2i000000000000000000
χ472-2-22222−2i2i-22-2-2-2-222-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i002i−2i-22000022-2-2−2i2i−2i2i−2i−2i2i2i000000000002i−2i00-22-2200002i−2i000000000000-22002i−2i000000000000000000
χ482-2-22222−2i2i-22-2-2-2-222-2222-2-22-222-2-2-2−2i2i−2i2i−2i2i−2i−2i2i2i00−2i2i2-2000022-2-2−2i2i−2i2i−2i−2i2i2i00000000000−2i2i002-22-20000−2i2i0000000000002-200−2i2i000000000000000000
χ492-2-222-122i−2i12-2-2-2-2-121-12-11-2-11-121-212i−2i2i−2i−ii−i−iii002i−2i2-2−i3i3−i3i3-1-111−ii2i−2i−i−iii00000−i3i3−i3i3002i−2i00-112-2003−3−ii33−3−300000000-1100−ii0000000−i3i3003−300000
χ502-2-222-122i−2i12-2-2-2-2-121-12-11-2-11-121-212i−2i2i−2i−ii−i−iii002i−2i2-2i3−i3i3−i3-1-111−ii2i−2i−i−iii00000i3−i3i3−i3002i−2i00-112-200−33−ii−3−33300000000-1100−ii0000000i3−i300−3300000
χ512-2-222-122i−2i12-2-2-2-2-121-12-11-2-11-121-212i−2i2i−2i−ii−i−iii00−2i2i-22−i3i3−i3i3-1-111−ii2i−2i−i−iii00000−i3i3−i3i300−2i2i001-1-22003−3i−i33−3−3000000001-100i−i0000000i3−i300−3300000
χ522-2-222-122i−2i12-2-2-2-2-121-12-11-2-11-121-212i−2i2i−2i−ii−i−iii00−2i2i-22i3−i3i3−i3-1-111−ii2i−2i−i−iii00000i3−i3i3−i300−2i2i001-1-2200−33i−i−3−333000000001-100i−i0000000−i3i3003−300000
χ532-2-222-12−2i2i12-2-2-2-2-121-12-11-2-11-121-21−2i2i−2i2ii−iii−i−i002i−2i-22−i3i3−i3i3-1-111i−i−2i2iii−i−i00000−i3i3−i3i3002i−2i001-1-2200−33−ii−3−333000000001-100−ii0000000i3−i3003−300000
χ542-2-222-12−2i2i12-2-2-2-2-121-12-11-2-11-121-21−2i2i−2i2ii−iii−i−i002i−2i-22i3−i3i3−i3-1-111i−i−2i2iii−i−i00000i3−i3i3−i3002i−2i001-1-22003−3−ii33−3−3000000001-100−ii0000000−i3i300−3300000
χ552-2-222-12−2i2i12-2-2-2-2-121-12-11-2-11-121-21−2i2i−2i2ii−iii−i−i00−2i2i2-2−i3i3−i3i3-1-111i−i−2i2iii−i−i00000−i3i3−i3i300−2i2i00-112-200−33i−i−3−33300000000-1100i−i0000000−i3i300−3300000
χ562-2-222-12−2i2i12-2-2-2-2-121-12-11-2-11-121-21−2i2i−2i2ii−iii−i−i00−2i2i2-2i3−i3i3−i3-1-111i−i−2i2iii−i−i00000i3−i3i3−i300−2i2i00-112-2003−3i−i33−3−300000000-1100i−i0000000i3−i3003−300000
χ572-2-22-1222i−2i-221-21-22-1-2-1-12112-2-1-111-2−ii2i−2i2i−2i2i2i−2i−2i002i−2i2-20000-1-111−ii−ii−i−iii00000000000−ii3−32-2-11−i3i3002i−2i0000003−33−300-11−i3i3−ii3−30000000−i3i30000000
χ582-2-22-1222i−2i-221-21-22-1-2-1-12112-2-1-111-2−ii2i−2i2i−2i2i2i−2i−2i002i−2i2-20000-1-111−ii−ii−i−iii00000000000−ii−332-2-11i3−i3002i−2i000000−33−3300-11i3−i3−ii−330000000i3−i30000000
χ592-2-22-1222i−2i-221-21-22-1-2-1-12112-2-1-111-2−ii2i−2i2i−2i2i2i−2i−2i00−2i2i-220000-1-111−ii−ii−i−iii00000000000i−i3−3-221-1−i3i300−2i2i000000−33−33001-1−i3i3i−i3−30000000i3−i30000000
χ602-2-22-1222i−2i-221-21-22-1-2-1-12112-2-1-111-2−ii2i−2i2i−2i2i2i−2i−2i00−2i2i-220000-1-111−ii−ii−i−iii00000000000i−i−33-221-1i3−i300−2i2i0000003−33−3001-1i3−i3i−i−330000000−i3i30000000
χ612-2-22-122−2i2i-221-21-22-1-2-1-12112-2-1-111-2i−i−2i2i−2i2i−2i−2i2i2i002i−2i-220000-1-111i−ii−iii−i−i00000000000−ii3−3-221-1i3−i3002i−2i000000−33−33001-1i3−i3−ii3−30000000−i3i30000000
χ622-2-22-122−2i2i-221-21-22-1-2-1-12112-2-1-111-2i−i−2i2i−2i2i−2i−2i2i2i002i−2i-220000-1-111i−ii−iii−i−i00000000000−ii−33-221-1−i3i3002i−2i0000003−33−3001-1−i3i3−ii−330000000i3−i30000000
χ632-2-22-122−2i2i-221-21-22-1-2-1-12112-2-1-111-2i−i−2i2i−2i2i−2i−2i2i2i00−2i2i2-20000-1-111i−ii−iii−i−i00000000000i−i3−32-2-11i3−i300−2i2i0000003−33−300-11i3−i3i−i3−30000000i3−i30000000
χ642-2-22-122−2i2i-221-21-22-1-2-1-12112-2-1-111-2i−i−2i2i−2i2i−2i−2i2i2i00−2i2i2-20000-1-111i−ii−iii−i−i00000000000i−i−332-2-11−i3i300−2i2i000000−33−3300-11−i3i3i−i−330000000−i3i30000000
χ6544444-2-244-2-24-24-2-24-2-2-21-2-211-2-2-2-2144-2-2-2-21111440000-2-2-2-21111-2-2-2-21111400-2-21111-2-20000000000-2-200111100000000000000000000000000000000
χ6644444-2-244-2-24-24-2-24-2-2-21-2-211-2-2-2-2144-2-2-2-21111-4-4000022221111-2-2-2-21111-40022-1-1-1-12200000000002200-1-1-1-100000000000000000000000000000000
χ6744444-2-2-4-4-2-24-24-2-24-2-2-21-2-211-2-2-2-21-4-42222-1-1-1-1440000-2-2-2-211112222-1-1-1-1-400-2-211112200000000002200-1-1-1-100000000000000000000000000000000
χ6844444-2-2-4-4-2-24-24-2-24-2-2-21-2-211-2-2-2-21-4-42222-1-1-1-1-4-40000222211112222-1-1-1-140022-1-1-1-1-2-20000000000-2-200111100000000000000000000000000000000
χ694444-24-2444-2-2-2-2-24-24-21-2-21-2-2-21-21-2-2-2-2-244-2-2-2-200000000001111-2-21111110440000000000-2-20000-2-200000000000000-2-2001100110000000000000000
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χ914-44-44-2400-2-4-4-4442-42-24-2-242-22-42-4200000000000000002i3−2i3−2i32i3-22-2200000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000
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χ1014-4-444-2-24i−4i2-2-42-42-242-2-21221-1-2-222-14i−4i−2i2i−2i2iii−i−i0000002i3−2i32i3−2i311-1-1−2i2i−2i2iii−i−i00000−i3i3−i3i3000000000000−23230033−3−300000000000000000000000000000000
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χ1044-4-44-24-24i−4i-4-222224-2-4-21-22-1-22-212-12−2i2i−2i2i4i−4i−2i−2i2i2i000000000011-1-1−2i2ii−iii−i−i000000000000023−230000−2i32i3000000000000000000i3−i300−330000000000000000
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χ1094-4-44-2-244i−4i242-42-4-2-221-2-2-12-221-2-122−2i2i4i−4i−2i2i−2i−2i2i2i00−4i4i-44000011-1-1i−i−2i2iii−i−i000000000002i−2i002-22-200002i−2i000000000000-1100−ii000000000000000000
χ1104-4-44-2-24−4i4i242-42-4-2-221-2-2-12-221-2-1222i−2i−4i4i2i−2i2i2i−2i−2i004i−4i-44000011-1-1−ii2i−2i−i−iii00000000000−2i2i002-22-20000−2i2i000000000000-1100i−i000000000000000000
χ1114-4-44-2-24−4i4i242-42-4-2-221-2-2-12-221-2-1222i−2i−4i4i2i−2i2i2i−2i−2i00−4i4i4-4000011-1-1−ii2i−2i−i−iii000000000002i−2i00-22-2200002i−2i0000000000001-100−ii000000000000000000
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
χ11488-8-8-48-400-84-4-444-848-42-44-2444-2-42-4000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
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χ11788-8-8-4-4-40044-4-44444-4222-2-2-2-2-2-2222000000-66-660000000000-111-100003-33-30000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-4008444-4-4-84-8-42-4-424-44-24-24000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8-4-4-400-4444-4-444422222-22-2-2-2-2-20000006i−6i−6i6i0000000000-11-110000−3i3i3i−3i0000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400-4444-4-444422222-22-2-2-2-2-2000000−6i6i6i−6i0000000000-11-1100003i−3i−3i3i0000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-48i−8i4-44444-4-44222-2-22-222-2-2-2−4i4i−4i4i−4i4i2i2i−2i−2i0000000000-1-1112i−2i2i−2i−i−iii0000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-4−8i8i4-44444-4-44222-2-22-222-2-2-24i−4i4i−4i4i−4i−2i−2i2i2i0000000000-1-111−2i2i−2i2iii−i−i0000000000000000000000000000000000000000000000000000000000000

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