Finite Group Databasebeta

← Group #13168012

Character table — Group #13168012

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666633346666666661212121212121212222244446666121212123666121212121212121212446666666666121212121212121212121212121244446612121212121212122244661212121212121212644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-111111111111111111111111-11111111111111-1-1-1-111-1-1111111-1-1111-111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-111111111111111111111111111-111-1-1-1-11111111111-1-1111111-1-111-1-1-11-1-11111-1-1-11-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-1-11-1-1-1-1-1-11111-111
χ71111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-111111-1-1-11111-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111111-1111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-11-11-111-1-11111-1-1-1-11
χ101111111111111111111-1111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11-11111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-1-11111-1111-1-1-1-1-1-11111-1
χ111111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11-11111-1-1-11-1-1-1-111-1-111-1-111-1
χ121111111111111111111-1111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1-11
χ131111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111-1-1-1-111-1-11111-1-111-11-1
χ141111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-111-1-1-1-11111111111-11-1-1-1-111-11-1-1-1-111-1-111-1-11-11
χ151111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11-11111-1-111-1111-1-1-1-1-1-1111-11
χ161111111111111111111-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-111-1-11111-1-1111-11-111-1-11111-1-1-11-1
χ17222222-1-1222-12-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-122220022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-1022222-1-1-1-1-1-1-1-10000-1-100-1-1-1-12200-1-120-1-100002000-1-1-1-1000000000
χ18222222-1-1222-12-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-122-2-20022-1-1-1-12222-1-1-1-1222-1-1-1-1-1-10-222-2-211-1-1-1-1-1-100001100-1-1-1-1-2-20011-20110000-20001111000000000
χ19222222-1-1222-12-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-22200-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-102-2-222-1-11111110000-1-1001111-2-200-1-120-1-10000-20001111000000000
χ20222222-1-1222-12-1222-1-122-1-1-12-1-1-1222-1-1-1-1-1-1-2-2-2-200-2-21111-2-2-2-2-1-1-1-1222-1-1-1-1-1-10-2-2-2-2-211111111000011001111220011-201100002000-1-1-1-1000000000
χ21222222-1-1222-12-1222-1-1-22-1-1-12-1-1-12-2-2111111222200-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110-22222-1-1-1-1-1-111000011001111-2-200-1-1-201100002000-1-111000000000
χ22222222-1-1222-12-1222-1-1-22-1-1-12-1-1-12-2-211111122-2-200-2-2-1-1-1-1-2-2-2-2-1-1-1-1-2-2-21111110222-2-211-1-1-1-1110000-1-100111122001120-1-10000-200011-1-1000000000
χ23222222-1-1222-12-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-222002211112222-1-1-1-1-2-2-21111110-2-2-222-1-11111-1-100001100-1-1-1-12200-1-1-20110000-200011-1-1000000000
χ24222222-1-1222-12-1222-1-1-22-1-1-12-1-1-12-2-2111111-2-2-2-2002211112222-1-1-1-1-2-2-211111102-2-2-2-2111111-1-10000-1-100-1-1-1-1-2-2001120-1-100002000-1-111000000000
χ2522222-122-1-12222-12-12-12-122-1-1-1-12-1222222220022220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-122000000222222-1-100000000-1-1-1-1-1-1-1-1-1-102200000-1-10000-100
χ2622222-122-1-12222-12-12-12-122-1-1-1-12-1222222220022-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2200-1-122000000-2-2-2-2221100000000-1-1-11-1-111110-2-200000110000100
χ2722222-122-1-12222-12-12-12-122-1-1-1-12-12222222200-2-2220000000000-1-1-1-1-1-1-1-1-1-1-1-1-12-20011-2-20000002222-2-2-1-100000000111-111-1-1-1-10-2-200000110000100
χ2822222-122-1-12222-12-12-12-122-1-1-1-12-12222222200-2-2-2-20000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-2000000-2-2-2-2-2-21100000000111111111102200000-1-10000-100
χ2922222-122-1-12222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-20022220000000000-1-1-1-1111111111-2-200-1-12200000022-2-2-2-2-1-100000000-1-11111-1-1110-2200000-1-10000100
χ3022222-122-1-12222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-20022-2-20000000000-1-1-1-11111111112-200-1-122000000-2-222-2-21100000000-1-11-11111-1-102-200000110000-100
χ3122222-122-1-12222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-2220000000000-1-1-1-1111111111-220011-2-200000022-2-222-1-10000000011-11-1-1-1-11102-200000110000-100
χ3222222-122-1-12222-12-12-1-2-122-1-1-1-12-1-2-2-2-2-2-2-2-200-2-2-2-20000000000-1-1-1-1111111111220011-2-2000000-2-22222110000000011-1-1-1-111-1-10-2200000-1-10000100
χ332222-122222-12-122-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1220022222222-1-1-1-1-1-1-1-12-1-122-1-1-1-120-1-10000-1-1-1-122-1-1-1-10022-1-1-1-10022000200-1-1-1-10002000000-1-1-1-1000
χ342222-122222-12-122-1-1-122-1-1-12-122-1-1-1-122-1-1-1-12200-2-2222222-1-1-1-1-1-1-1-12-1-122-1-1-1-1-20-1-10000-1-1-1-122111100-2-2-1-1-1-100-2-2000-2001111000-20000001111000
χ352222-122222-12-122-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-20022-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1201100001111-2-2-1-1-1-10022111100-2-2000200-1-1-1-1000-20000001111000
χ362222-122222-12-122-1-1-122-1-1-12-122-1-1-1-122-1-1-1-1-2-200-2-2-2-2-2-2-2-21111-1-1-1-12-1-122-1-1-1-1-201100001111-2-2111100-2-211110022000-20011110002000000-1-1-1-1000
χ372222-122222-12-122-1-1-12-2-1-1-12-122-1-111-2-21111220022-2-222221111-1-1-1-1-211-2-21111-20-1-10000-1-1-1-1-2-2-1-111002211110022000-200-1-111000-2000000-1-111000
χ382222-122222-12-122-1-1-12-2-1-1-12-122-1-111-2-211112200-2-2-2-222221111-1-1-1-1-211-2-2111120-1-10000-1-1-1-1-2-211-1-100-2-2111100-2-200020011-1-1000200000011-1-1000
χ392222-122222-12-122-1-1-12-2-1-1-12-122-1-111-2-21111-2-2002222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-21111-20110000111122-1-1110022-1-1-1-100-2-2000-200-1-111000200000011-1-1000
χ402222-122222-12-122-1-1-12-2-1-1-12-122-1-111-2-21111-2-200-2-222-2-2-2-2-1-1-1-1-1-1-1-1-211-2-211112011000011112211-1-100-2-2-1-1-1-1002200020011-1-1000-2000000-1-111000
χ4122-2-22222-2-2-2-22-22-22220-22-22-2-2-2-2200000000002-2002i−2i00002i2i−2i−2i22-2-200000000000002-22-200002i−2i000000002i2i−2i−2i2i−2i002-2000000000000002i−2i000000000
χ4222-2-22222-2-2-2-22-22-22220-22-22-2-2-2-2200000000002-200−2i2i0000−2i−2i2i2i22-2-200000000000002-22-20000−2i2i00000000−2i−2i2i2i−2i2i002-200000000000000−2i2i000000000
χ4322-2-22222-2-2-2-22-22-22220-22-22-2-2-2-220000000000-22002i−2i00002i2i−2i−2i22-2-20000000000000-22-2200002i−2i000000002i2i−2i−2i−2i2i00-2200000000000000−2i2i000000000
χ4422-2-22222-2-2-2-22-22-22220-22-22-2-2-2-220000000000-2200−2i2i0000−2i−2i2i2i22-2-20000000000000-22-220000−2i2i00000000−2i−2i2i2i2i−2i00-22000000000000002i−2i000000000
χ4522-2-222-1-1-2-2-21212-22-1-10-2-11-1-21112003−333−3−3002-2002i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−300002-2-11−i3−i3i3i3−ii00003−300−i−iii2i−2i00-11003−300000000−i3i3−ii000000000
χ4622-2-222-1-1-2-2-21212-22-1-10-2-11-1-21112003−333−3−3002-200−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−300002-2-11i3i3−i3−i3i−i00003−300ii−i−i−2i2i00-11003−300000000i3−i3i−i000000000
χ4722-2-222-1-1-2-2-21212-22-1-10-2-11-1-21112003−333−3−300-22002i−2i−i3−i3i3i32i2i−2i−2i-1-1110003−333−3−30000-221-1−i3−i3i3i3−ii0000−3300−i−iii−2i2i001-100−3300000000i3−i3i−i000000000
χ4822-2-222-1-1-2-2-21212-22-1-10-2-11-1-21112003−333−3−300-2200−2i2ii3i3−i3−i3−2i−2i2i2i-1-1110003−333−3−30000-221-1i3i3−i3−i3i−i0000−3300ii−i−i2i−2i001-100−3300000000−i3i3−ii000000000
χ4922-2-222-1-1-2-2-21212-22-1-10-2-11-1-2111200−33−3−333002-2002i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−33300002-2-11i3i3−i3−i3−ii0000−3300−i−iii2i−2i00-1100−3300000000i3−i3−ii000000000
χ5022-2-222-1-1-2-2-21212-22-1-10-2-11-1-2111200−33−3−333002-200−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−33300002-2-11−i3−i3i3i3i−i0000−3300ii−i−i−2i2i00-1100−3300000000−i3i3i−i000000000
χ5122-2-222-1-1-2-2-21212-22-1-10-2-11-1-2111200−33−3−33300-22002i−2ii3i3−i3−i32i2i−2i−2i-1-111000−33−3−3330000-221-1i3i3−i3−i3−ii00003−300−i−iii−2i2i001-1003−300000000−i3i3i−i000000000
χ5222-2-222-1-1-2-2-21212-22-1-10-2-11-1-2111200−33−3−33300-2200−2i2i−i3−i3i3i3−2i−2i2i2i-1-111000−33−3−3330000-221-1−i3−i3i3i3i−i00003−300ii−i−i2i−2i001-1003−300000000i3−i3−ii000000000
χ532-22-2222-22-222-2-2-2-22220-2-2-2-222-22-2000000002-2002i−2i002-22-200002-2-22000000000002-200002-22-2002i−2i00002i−2i0000002i−2i0000002i−2i0000000000002i−2i00000
χ542-22-2222-22-222-2-2-2-22220-2-2-2-222-22-2000000002-200−2i2i002-22-200002-2-22000000000002-200002-22-200−2i2i0000−2i2i000000−2i2i000000−2i2i000000000000−2i2i00000
χ552-22-2222-22-222-2-2-2-22220-2-2-2-222-22-200000000-22002i−2i00-22-2200002-2-2200000000000-220000-22-22002i−2i00002i−2i000000−2i2i0000002i−2i000000000000−2i2i00000
χ562-22-2222-22-222-2-2-2-22220-2-2-2-222-22-200000000-2200−2i2i00-22-2200002-2-2200000000000-220000-22-2200−2i2i0000−2i2i0000002i−2i000000−2i2i0000000000002i−2i00000
χ572-22-2-122-22-2-121-2-21-1-120111-2-12-2-11−i3i300−i3i3−i3i32-2002i−2i002-22-2−i3i3−i3i3-111-10−i3i300−i3i3−i3i300-110000-11-1100−ii3−3002i−2i−i3i3−i3i3002i−2i000000−ii3−30000000000−ii3−3000
χ582-22-2-122-22-2-121-2-21-1-120111-2-12-2-11−i3i300−i3i3−i3i32-200−2i2i002-22-2−i3i3−i3i3-111-10−i3i300−i3i3−i3i300-110000-11-1100i−i−3300−2i2i−i3i3−i3i300−2i2i000000i−i−330000000000i−i−33000
χ592-22-2-122-22-2-121-2-21-1-120111-2-12-2-11−i3i300−i3i3−i3i3-22002i−2i00-22-22i3−i3i3−i3-111-10−i3i300−i3i3−i3i3001-100001-11-100−ii3−3002i−2ii3−i3i3−i300−2i2i000000−ii3−30000000000i−i−33000
χ602-22-2-122-22-2-121-2-21-1-120111-2-12-2-11−i3i300−i3i3−i3i3-2200−2i2i00-22-22i3−i3i3−i3-111-10−i3i300−i3i3−i3i3001-100001-11-100i−i−3300−2i2ii3−i3i3−i3002i−2i000000i−i−330000000000−ii3−3000
χ612-22-2-122-22-2-121-2-21-1-120111-2-12-2-11i3−i300i3−i3i3−i32-2002i−2i002-22-2i3−i3i3−i3-111-10i3−i300i3−i3i3−i300-110000-11-1100−ii−33002i−2ii3−i3i3−i3002i−2i000000−ii−330000000000−ii−33000
χ622-22-2-122-22-2-121-2-21-1-120111-2-12-2-11i3−i300i3−i3i3−i32-200−2i2i002-22-2i3−i3i3−i3-111-10i3−i300i3−i3i3−i300-110000-11-1100i−i3−300−2i2ii3−i3i3−i300−2i2i000000i−i3−30000000000i−i3−3000
χ632-22-2-122-22-2-121-2-21-1-120111-2-12-2-11i3−i300i3−i3i3−i3-22002i−2i00-22-22−i3i3−i3i3-111-10i3−i300i3−i3i3−i3001-100001-11-100−ii−33002i−2i−i3i3−i3i300−2i2i000000−ii−330000000000i−i3−3000
χ642-22-2-122-22-2-121-2-21-1-120111-2-12-2-11i3−i300i3−i3i3−i3-2200−2i2i00-22-22−i3i3−i3i3-111-10i3−i300i3−i3i3−i3001-100001-11-100i−i3−300−2i2i−i3i3−i3i3002i−2i000000i−i3−30000000000−ii−33000
χ6544444-2-2-2-2-24-24-2-24-2-214-2-2-21-211-2-244-2-2-2-2-2-200440000000000001111-2-2-21111110400-2-2-2-20000000000-2-2000000000011-2011000000000000000000000
χ6644444-2-2-2-2-24-24-2-24-2-214-2-2-21-211-2-244-2-2-2-2-2-200-4-40000000000001111-2-2-21111110-40022220000000000220000000000-1-120-1-1000000000000000000000
χ6744444-2-2-2-2-24-24-2-24-2-21-4-2-2-21-211-2-2-4-422222200440000000000001111222-1-1-1-1-1-10-400-2-2-2-200000000002200000000001120-1-1000000000000000000000
χ6844444-2-2-2-2-24-24-2-24-2-21-4-2-2-21-211-2-2-4-422222200-4-40000000000001111222-1-1-1-1-1-1040022220000000000-2-20000000000-1-1-2011000000000000000000000
χ694444-24-2-244-2-2-2-24-2-21-24-211-2-2-2-21-2-2-2-2-2111144000044-2-2-2-2-2-2-2-211114-2-2-2-2111100-2-200001111-2-20000000011110000000000000000000000000000000
χ704444-24-2-244-2-2-2-24-2-21-24-211-2-2-2-21-2-2-2-2-21111-4-40000-4-42222222211114-2-2-2-2111100220000-1-1-1-12200000000-1-1-1-10000000000000000000000000000000
χ714444-24-2-244-2-2-2-24-2-21-2-4-211-2-2-2-21-22222-1-1-1-1440000-4-4-2-2-2-222221111-42222-1-1-1-100-2-2000011112200000000-1-1-1-10000000000000000000000000000000
χ724444-24-2-244-2-2-2-24-2-21-2-4-211-2-2-2-21-22222-1-1-1-1-4-40000442222-2-2-2-21111-42222-1-1-1-100220000-1-1-1-1-2-20000000011110000000000000000000000000000000
χ734444-2-244-2-2-24-24-2-21-2-241-2-2-21-2-2-21-2-244-2-2-2-200004400000000001111-211-2-2111140000000000000-2-2-2-200-2-200000000000-200111100000000000000000
χ744444-2-244-2-2-24-24-2-21-2-241-2-2-21-2-2-21-2-244-2-2-2-20000-4-400000000001111-211-2-21111-400000000000002222002200000000000200-1-1-1-100000000000000000
χ754444-2-244-2-2-24-24-2-21-2-2-41-2-2-21-2-2-2122-4-42222000044000000000011112-1-122-1-1-1-1-40000000000000-2-22200-2-20000000000020011-1-100000000000000000
χ764444-2-244-2-2-24-24-2-21-2-2-41-2-2-21-2-2-2122-4-422220000-4-4000000000011112-1-122-1-1-1-14000000000000022-2-2002200000000000-200-1-11100000000000000000
χ7744-4-44-24422-4-44-4-2-4-24-2024-4-2222-4-200000000004-4000000000000-2-2220000000000000-224-40000000000000000000000-220000000000000000000000000
χ7844-4-44-24422-4-44-4-2-4-24-2024-4-2222-4-20000000000-44000000000000-2-22200000000000002-2-4400000000000000000000002-20000000000000000000000000
χ7944-4-44-2-2-222-4242-2-4-2-2102-2212-1-12-20023−232323−23−23004-400000000000011-1-1000−33−3−3330000-22-22000000000023−2300000000001-100−33000000000000000000000
χ8044-4-44-2-2-222-4242-2-4-2-2102-2212-1-12-20023−232323−23−2300-4400000000000011-1-1000−33−3−33300002-22-20000000000−23230000000000-11003−3000000000000000000000
χ8144-4-44-2-2-222-4242-2-4-2-2102-2212-1-12-200−2323−23−232323004-400000000000011-1-10003−333−3−30000-22-220000000000−232300000000001-1003−3000000000000000000000
χ8244-4-44-2-2-222-4242-2-4-2-2102-2212-1-12-200−2323−23−23232300-4400000000000011-1-10003−333−3−300002-22-2000000000023−230000000000-1100−33000000000000000000000
χ8344-4-4-2444-4-42-4-2-442-2-2402-2242-4-42-2000000000000004i−4i0000−2i−2i2i2i-2-2220000000000000000000004i−4i00000000−2i−2i2i2i0000000000000000000000000000000
χ8444-4-4-2444-4-42-4-2-442-2-2402-2242-4-42-200000000000000−4i4i00002i2i−2i−2i-2-222000000000000000000000−4i4i000000002i2i−2i−2i0000000000000000000000000000000
χ8544-4-4-24-2-2-4-422-2242-21-2021-1-2222-1-20023−23−3−3330000004i−4i−2i3−2i32i32i3−2i−2i2i2i11-1-100023−23−3−33300000000i3i3−i3−i3−2i2i00000000ii−i−i0000000000000000000000000000000
χ8644-4-4-24-2-2-4-422-2242-21-2021-1-2222-1-20023−23−3−333000000−4i4i2i32i3−2i3−2i32i2i−2i−2i11-1-100023−23−3−33300000000−i3−i3i3i32i−2i00000000−i−iii0000000000000000000000000000000
χ8744-4-4-24-2-2-4-422-2242-21-2021-1-2222-1-200−232333−3−30000004i−4i2i32i3−2i3−2i3−2i−2i2i2i11-1-1000−232333−3−300000000−i3−i3i3i3−2i2i00000000ii−i−i0000000000000000000000000000000
χ8844-4-4-24-2-2-4-422-2242-21-2021-1-2222-1-200−232333−3−3000000−4i4i−2i3−2i32i32i32i2i−2i−2i11-1-1000−232333−3−300000000i3i3−i3−i32i−2i00000000−i−iii0000000000000000000000000000000
χ894-44-444-224-44-2-42-4-44-2-20-42224-22-2-4000000004-4000000-22-220000-222-2000000000004-40000-22-22000000000000000000000000000000000000000000000
χ904-44-444-224-44-2-42-4-44-2-20-42224-22-2-400000000-440000002-22-20000-222-200000000000-4400002-22-2000000000000000000000000000000000000000000000
χ914-44-44-24-4-2244-4-42-4-24-202-4-42-2-22420000000000004i−4i0000000000-222-2000000000000000000000004i−4i0000−2i2i00000000000000−2i2i0000000000000000000
χ924-44-44-24-4-2244-4-42-4-24-202-4-42-2-2242000000000000−4i4i0000000000-222-200000000000000000000000−4i4i00002i−2i000000000000002i−2i0000000000000000000
χ934-44-4-24-224-4-2-222-42-21-202-1-12-2-2212−2i32i300i3−i3i3−i34-4000000-22-22−2i32i3−2i32i31-1-110−2i32i300i3−i3i3−i300-2200001-11-10000000000i3−i3i3−i30000000000000000000000000000000
χ944-44-4-24-224-4-2-222-42-21-202-1-12-2-2212−2i32i300i3−i3i3−i3-440000002-22-22i3−2i32i3−2i31-1-110−2i32i300i3−i3i3−i3002-20000-11-110000000000−i3i3−i3i30000000000000000000000000000000
χ954-44-4-24-224-4-2-222-42-21-202-1-12-2-22122i3−2i300−i3i3−i3i34-4000000-22-222i3−2i32i3−2i31-1-1102i3−2i300−i3i3−i3i300-2200001-11-10000000000−i3i3−i3i30000000000000000000000000000000
χ964-44-4-24-224-4-2-222-42-21-202-1-12-2-22122i3−2i300−i3i3−i3i3-440000002-22-2−2i32i3−2i32i31-1-1102i3−2i300−i3i3−i3i3002-20000-11-110000000000i3−i3i3−i30000000000000000000000000000000
χ974-44-4-2-24-4-22-242-4221-2-20-12221-22-2-1−2i32i300−2i32i3−2i32i300004i−4i00000000001-1-110i3−i300i3−i3i3−i300000000000000−2i2i23−2300−2i2i00000000000000i−i−3300000000000000000
χ984-44-4-2-24-4-22-242-4221-2-20-12221-22-2-1−2i32i300−2i32i3−2i32i30000−4i4i00000000001-1-110i3−i300i3−i3i3−i3000000000000002i−2i−2323002i−2i00000000000000−ii3−300000000000000000
χ994-44-4-2-24-4-22-242-4221-2-20-12221-22-2-12i3−2i3002i3−2i32i3−2i300004i−4i00000000001-1-110−i3i300−i3i3−i3i300000000000000−2i2i−232300−2i2i00000000000000i−i3−300000000000000000
χ1004-44-4-2-24-4-22-242-4221-2-20-12221-22-2-12i3−2i3002i3−2i32i3−2i30000−4i4i00000000001-1-110−i3i300−i3i3−i3i3000000000000002i−2i23−23002i−2i00000000000000−ii−3300000000000000000
χ1014-4-44444-4-44-4-4-44-4444404-44-4-4-44-4-40000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000
χ1024-4-4444-22-44-42-4-2-444-2-2042-22-42-22-40000000000000000−2i32i32i3−2i30000-22-2200000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000
χ1034-4-4444-22-44-42-4-2-444-2-2042-22-42-22-400000000000000002i3−2i3−2i32i30000-22-22000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000
χ1044-4-444-24-42-2-4-4-4424-24-20-2-44222-2-42000000000000000000000000-22-2200000000000000000000000000000000000000000000000000000000023−230000000
χ1054-4-444-24-42-2-4-4-4424-24-20-2-44222-2-42000000000000000000000000-22-22000000000000000000000000000000000000000000000000000000000−23230000000
χ1064-4-44-244-4-442-424-4-2-2-240-22-2-42-44220000000000000000000023−23−2323-22-22000000000000000000000000000000023−23−23230000000000000000000000000000000
χ1074-4-44-244-4-442-424-4-2-2-240-22-2-42-442200000000000000000000−232323−23-22-220000000000000000000000000000000−232323−230000000000000000000000000000000
χ1084-4-44-24-22-44222-2-4-2-21-20-2-11222-2-1200003i−3i−3i3i00000000−2i32i32i3−2i3−232323−231-11-1000003i−3i−3i3i00000000i3−i3−i3i300000000003−3−330000000000000000000000000000000
χ1094-4-44-24-22-44222-2-4-2-21-20-2-11222-2-1200003i−3i−3i3i000000002i3−2i3−2i32i323−23−23231-11-1000003i−3i−3i3i00000000−i3i3i3−i30000000000−333−30000000000000000000000000000000
χ1104-4-44-24-22-44222-2-4-2-21-20-2-11222-2-120000−3i3i3i−3i00000000−2i32i32i3−2i323−23−23231-11-100000−3i3i3i−3i00000000i3−i3−i3i30000000000−333−30000000000000000000000000000000
χ1114-4-44-24-22-44222-2-4-2-21-20-2-11222-2-120000−3i3i3i−3i000000002i3−2i3−2i32i3−232323−231-11-100000−3i3i3i−3i00000000−i3i3i3−i300000000003−3−330000000000000000000000000000000
χ1128888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-4-422220000000000000000-1-1-1-1-42222-1-1-1-1000000000000000000000000000000000000000000000000000000000
χ1138888-4-4-4-4-4-4-4-4-4-4-4-4222-82222222224444-2-2-2-20000000000000000-1-1-1-14-2-2-2-21111000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-488444-8-4-8-442-4-40-2-44-4-2444200000000000000000000000022-2-2000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-4-44444-44-442220-22-22-2-2-2-220043−43−23−2323230000000000000000-1-111000−232333−3−3000000000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4-4-44444-44-442220-22-22-2-2-2-2200−43432323−23−230000000000000000-1-11100023−23−3−333000000000000000000000000000000000000000000000000000000000
χ1178-88-88-4-44-448-4-844-8-4-420444-2-42-2-440000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-4-44-44-4-444442220-2-2-2-222-22-2−4i34i3002i3−2i32i3−2i30000000000000000-111-102i3−2i300−i3i3−i3i3000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-44-44-4-444442220-2-2-2-222-22-24i3−4i300−2i32i3−2i32i30000000000000000-111-10−2i32i300i3−i3i3−i3000000000000000000000000000000000000000000000000000000000
χ1208-8-888-4-444-4-84-8-448-4-420-44-4-24-22440000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1218-8-88-4-48-84-44-8484-42-4-4024-44-24-44-20000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-88-4-4-444-4444-44-422202-22-2-2-22-2-200006i−6i−6i6i0000000000000000-11-1100000−3i3i3i−3i000000000000000000000000000000000000000000000000000000000
χ1238-8-88-4-4-444-4444-44-422202-22-2-2-22-2-20000−6i6i6i−6i0000000000000000-11-11000003i−3i−3i3i000000000000000000000000000000000000000000000000000000000

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