Finite Group Databasebeta

← Group #13168014

Character table — Group #13168014

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135
size11112222222222222222224444444444444444444444446666666666666666888888888812121212121212121212121212121212121212121212121212121212121212121212121212121818242424243636363636363636363636363636363636108108
order12223334466666666612121212333666666666121212121212121212121212222244446666121212123666121212121212446666666666121212121212121212121212121212121212121212121212121244661212224446666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111-11111111111-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111-11-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111111111-11-1-11111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111-11-11-111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-111-1-1111111111111111111111111-1-1-1-11111111111-1-11111-1-111111111111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-111111111111-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-11-1-1-111-1-111-1-111-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-1-111111-1-1-1-111-1-11-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111-1-1-1-111-1-111111-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1111111111111-1-1-111-1-111-1-11111-1-1-1-1-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1-1-11-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1-1-111-1-11111-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11111-1-1-1-11111-1-111111-1-1-1-111-1-1-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111111111-1-1111-1-11-1-1-111-1-111-1-1111-1
χ17222222-122-1222-122-1222222-1-1-1-1-12-122-1-122-1-12222-1-1-1-122222200-1-1-1-10000-1-1-1-1-1-1-1-1-1-1202222-1-1-1-1-1-10022-1-1-1-100002200000000-1-1-1-100-1-1-1-12020000-1-1-1-100000000
χ18222222-122-1222-122-1222222-1-1-1-1-12-122-1-122-1-12222-1-1-1-122-2-2220011110000-1-1-1-1-1-1-1-1-1-1-20-2-222-1-1111100-2-211-1-100002200000000111100-1-1-1-1-20-20000111100000000
χ19222222-122-1222-122-1222222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-222-2-200-1-1-1-10000-1-1-1-1-1-1-1-1-1-12022-2-211-1-1-1-10022-1-1110000-2-200000000-1-1-1-1001111-20-20000111100000000
χ20222222-122-1222-122-1222222-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-2-2-20011110000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211111100-2-211110000-2-20000000011110011112020000-1-1-1-100000000
χ21222222-1-2-2-1222-122-12-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-211112222-2-200-1-1-1-10000-1-1-1-1111111-202222-1-1-1-1-1-100-2-211110000-2-200000000111100-1-11120-20000-1-11100000000
χ22222222-1-2-2-1222-122-12-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-2-2-20011110000-1-1-1-111111120-2-222-1-111110022-1-1110000-2-200000000-1-1-1-100-1-111-202000011-1-100000000
χ23222222-1-2-2-1222-122-12-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2222200-1-1-1-10000-1-1-1-1111111-2022-2-211-1-1-1-100-2-211-1-10000220000000011110011-1-1-202000011-1-100000000
χ24222222-1-2-2-1222-122-12-2-2-2-22-1-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2-2-2220011110000-1-1-1-111111120-2-2-2-21111110022-1-1-1-100002200000000-1-1-1-10011-1-120-20000-1-11100000000
χ2522222-12222-1-122222-12222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222220022220000-1-1-1-1-1-1-1-1-1-1-1-1-1-10200-1-1220000-1-10000222222-1-1-1-1-1-1-1-1-1-1000000-1-1-1-102020-1-100000000-1-100
χ2622222-12222-1-122222-12222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222220022-2-200001111-1-1-1-1-1-1-1-1-1-10-200-1-122000011000022-2-2-2-2-1-111111111000000-1-1-1-10-20-2011000000001100
χ2722222-12222-1-122222-12222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222-2-200-2-2220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1020011-2-20000-1-10000-2-2222211-1-1-1-1-1-1-1-100000011110-20-2011000000001100
χ2822222-12222-1-122222-12222-12-122-1-1-1-1-1-12-1-122-1-1-1-12222-2-200-2-2-2-200001111-1-1-1-1-1-1-1-1-1-10-20011-2-20000110000-2-2-2-2-2-21111111111000000111102020-1-100000000-1-100
χ2922222-12-2-22-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-22200-2-2220000-1-1-1-1-1-1-1-11111110-200-1-1220000110000-2-222-2-211-1-1-1-11111000000-1-1110-20201100000000-1-100
χ3022222-12-2-22-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-22200-2-2-2-200001111-1-1-1-11111110200-1-1220000-1-10000-2-2-2-222111111-1-1-1-1000000-1-111020-20-1-1000000001100
χ3122222-12-2-22-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-2-2-20022220000-1-1-1-1-1-1-1-11111110-20011-2-200001100002222-2-2-1-1-1-1-1-1111100000011-1-1020-20-1-1000000001100
χ3222222-12-2-22-1-122222-1-2-2-2-2-12-122-1-1-1-1-1-1211-2-21111-2-2-2-2-2-20022-2-200001111-1-1-1-1111111020011-2-20000-1-1000022-2-222-1-11111-1-1-1-100000011-1-10-20201100000000-1-100
χ332222-12222222-12-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-10022002222222222-1-1-1-122-1-1-1-122-1-10000-1-1-1-122-1-12200-1-1-1-100-1-1-1-1-1-1-1-1-1-1-1-122000000002000000-1-1-1-10000
χ342222-12222222-12-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-1002200-2-22222-2-2-2-2-1-1-1-122-1-1-1-12-2-1-10000-1-1-1-1-2-2-1-1220011110011111111-1-1-1-1-2-200000000-200000011110000
χ352222-12222222-12-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-100-2-20022-2-2-2-22222-1-1-1-122-1-1-1-1-2211000011112211-2-200-1-1-1-100-1-1-1-1-1-1-1-11111-2-200000000-200000011110000
χ362222-12222222-12-1-122-1-1-1-1-1-12-1-12-12-1-12-12222-1-1-1-1-1-1-1-100-2-200-2-2-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-2-21100001111-2-211-2-20011110011111111111122000000002000000-1-1-1-10000
χ372222-122-2-2222-12-1-1221111-1-12-1-12-12-1-12-1-2-2-2-2111111110022002222222222-1-1-1-1-2-21111-2-2-1-10000-1-1-1-1-2-211-2-200-1-11100-1-1-1-1111111112200000000-2000000-1-1110000
χ382222-122-2-2222-12-1-1221111-1-12-1-12-12-1-12-1-2-2-2-211111111002200-2-22222-2-2-2-2-1-1-1-1-2-21111-22-1-10000-1-1-1-12211-2-20011-1-1001111-1-1-1-11111-2-200000000200000011-1-10000
χ392222-122-2-2222-12-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111100-2-20022-2-2-2-22222-1-1-1-1-2-211112-21100001111-2-2-1-12200-1-11100-1-1-1-11111-1-1-1-1-2-200000000200000011-1-10000
χ402222-122-2-2222-12-1-1221111-1-12-1-12-12-1-12-1-2-2-2-21111111100-2-200-2-2-2-2-2-2-2-2-2-2-1-1-1-1-2-2111122110000111122-1-1220011-1-1001111-1-1-1-1-1-1-1-12200000000-2000000-1-1110000
χ4122-2-222200-22-222-2-2-2-20000222-2-2-222-2-2-22000000000000002-2002i−2i22-2-22i2i−2i−2i2-2-22000000002-2000022-2-2000000002i−2i00002i2i−2i−2i000000002i−2i0000000000000002i−2i000000
χ4222-2-222200-22-222-2-2-2-20000222-2-2-222-2-2-22000000000000002-200−2i2i22-2-2−2i−2i2i2i2-2-22000000002-2000022-2-200000000−2i2i0000−2i−2i2i2i00000000−2i2i000000000000000−2i2i000000
χ4322-2-222200-22-222-2-2-2-20000222-2-2-222-2-2-2200000000000000-22002i−2i-2-2222i2i−2i−2i2-2-2200000000-220000-2-222000000002i−2i00002i2i−2i−2i00000000−2i2i000000000000000−2i2i000000
χ4422-2-222200-22-222-2-2-2-20000222-2-2-222-2-2-2200000000000000-2200−2i2i-2-222−2i−2i2i2i2-2-2200000000-220000-2-22200000000−2i2i0000−2i−2i2i2i000000002i−2i0000000000000002i−2i000000
χ4522-2-2-12200-22-2-1211-2-2−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3002-2002i−2i22-2-22i2i−2i−2i-111-100−i3−i3i3i300-110000-1-11100−i3i30000−ii3−300−i−iii33−3−3−i3−i3i3i32i−2i000000000000000−ii3−30000
χ4622-2-2-12200-22-2-1211-2-2−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i3002-200−2i2i22-2-2−2i−2i2i2i-111-100−i3−i3i3i300-110000-1-11100−i3i30000i−i−3300ii−i−i−3−333−i3−i3i3i3−2i2i000000000000000i−i−330000
χ4722-2-2-12200-22-2-1211-2-2−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i300-22002i−2i-2-2222i2i−2i−2i-111-100−i3−i3i3i3001-1000011-1-100i3−i30000−ii3−300−i−iii33−3−3i3i3−i3−i3−2i2i000000000000000i−i−330000
χ4822-2-2-12200-22-2-1211-2-2−i3−i3i3i3-1-1211-2-1211-2-10000−i3−i3i3i3−i3−i3i3i300-2200−2i2i-2-222−2i−2i2i2i-111-100−i3−i3i3i3001-1000011-1-100i3−i30000i−i−3300ii−i−i−3−333i3i3−i3−i32i−2i000000000000000−ii3−30000
χ4922-2-2-12200-22-2-1211-2-2i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3002-2002i−2i22-2-22i2i−2i−2i-111-100i3i3−i3−i300-110000-1-11100i3−i30000−ii−3300−i−iii−3−333i3i3−i3−i32i−2i000000000000000−ii−330000
χ5022-2-2-12200-22-2-1211-2-2i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i3002-200−2i2i22-2-2−2i−2i2i2i-111-100i3i3−i3−i300-110000-1-11100i3−i30000i−i3−300ii−i−i33−3−3i3i3−i3−i3−2i2i000000000000000i−i3−30000
χ5122-2-2-12200-22-2-1211-2-2i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i300-22002i−2i-2-2222i2i−2i−2i-111-100i3i3−i3−i3001-1000011-1-100−i3i30000−ii−3300−i−iii−3−333−i3−i3i3i3−2i2i000000000000000i−i3−30000
χ5222-2-2-12200-22-2-1211-2-2i3i3−i3−i3-1-1211-2-1211-2-10000i3i3−i3−i3i3i3−i3−i300-2200−2i2i-2-222−2i−2i2i2i-111-100i3i3−i3−i3001-1000011-1-100−i3i30000i−i3−300ii−i−i33−3−3−i3−i3i3i32i−2i000000000000000−ii−330000
χ532-2-222222i−2i2-22-2-22-2-2-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2-2002i−2i000000000022-2-22i−2i2i−2i2i−2i00002-22-200000000002i−2i00002i−2i000000000000002-22i−2i0000000000000000000
χ542-2-222222i−2i2-22-2-22-2-2-22i−2i2i−2i2222-22-2-22-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-2200−2i2i000000000022-2-22i−2i2i−2i2i−2i0000-22-220000000000−2i2i0000−2i2i00000000000000-22−2i2i0000000000000000000
χ552-2-22222−2i2i2-22-2-22-2-2-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i2-200−2i2i000000000022-2-2−2i2i−2i2i−2i2i00002-22-20000000000−2i2i0000−2i2i000000000000002-2−2i2i0000000000000000000
χ562-2-22222−2i2i2-22-2-22-2-2-2−2i2i−2i2i2222-22-2-22-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-22002i−2i000000000022-2-2−2i2i−2i2i−2i2i0000-22-2200000000002i−2i00002i−2i00000000000000-222i−2i0000000000000000000
χ572-2-2222-12i−2i-1-22-212-21-22i−2i2i−2i2-1-1-11-1-212-2112i−2i−ii2i−2i2i−2i−ii−ii2-2002i−2i00−i3i3−i3i30000-1-111−ii−ii−ii00002-2-11−i3i3−i3i300003−3−ii00002i−2i000000003−33−300-11−ii0000000−i3i33−300000000
χ582-2-2222-12i−2i-1-22-212-21-22i−2i2i−2i2-1-1-11-1-212-2112i−2i−ii2i−2i2i−2i−ii−ii2-2002i−2i00i3−i3i3−i30000-1-111−ii−ii−ii00002-2-11i3−i3i3−i30000−33−ii00002i−2i00000000−33−3300-11−ii0000000i3−i3−3300000000
χ592-2-2222-12i−2i-1-22-212-21-22i−2i2i−2i2-1-1-11-1-212-2112i−2i−ii2i−2i2i−2i−ii−ii-2200−2i2i00−i3i3−i3i30000-1-111−ii−ii−ii0000-221-1−i3i3−i3i300003−3i−i0000−2i2i000000003−33−3001-1i−i0000000i3−i3−3300000000
χ602-2-2222-12i−2i-1-22-212-21-22i−2i2i−2i2-1-1-11-1-212-2112i−2i−ii2i−2i2i−2i−ii−ii-2200−2i2i00i3−i3i3−i30000-1-111−ii−ii−ii0000-221-1i3−i3i3−i30000−33i−i0000−2i2i00000000−33−33001-1i−i0000000−i3i33−300000000
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χ622-2-2222-1−2i2i-1-22-212-21-2−2i2i−2i2i2-1-1-11-1-212-211−2i2ii−i−2i2i−2i2ii−ii−i2-200−2i2i00i3−i3i3−i30000-1-111i−ii−ii−i00002-2-11i3−i3i3−i300003−3i−i0000−2i2i000000003−33−300-11i−i0000000i3−i33−300000000
χ632-2-2222-1−2i2i-1-22-212-21-2−2i2i−2i2i2-1-1-11-1-212-211−2i2ii−i−2i2i−2i2ii−ii−i-22002i−2i00−i3i3−i3i30000-1-111i−ii−ii−i0000-221-1−i3i3−i3i30000−33−ii00002i−2i00000000−33−33001-1−ii0000000i3−i33−300000000
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χ662-2-222-122i−2i21-1-2-22-2-212i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i2-2002i−2i000000−33−33-1-111−ii−ii−ii0000-112-20000i3−i300002i−2i0000−ii−33−33i3−i3i3−i3000000-11−ii00000i3−i300000000−3300
χ672-2-222-122i−2i21-1-2-22-2-212i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i-2200−2i2i0000003−33−3-1-111−ii−ii−ii00001-1-220000−i3i30000−2i2i0000i−i3−33−3−i3i3−i3i30000001-1i−i00000i3−i300000000−3300
χ682-2-222-122i−2i21-1-2-22-2-212i−2i2i−2i-12-12-2-111-111-2−ii2i−2i−ii−ii2i−2i2i−2i-2200−2i2i000000−33−33-1-111−ii−ii−ii00001-1-220000i3−i30000−2i2i0000i−i−33−33i3−i3i3−i30000001-1i−i00000−i3i3000000003−300
χ692-2-222-12−2i2i21-1-2-22-2-21−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i2-200−2i2i0000003−33−3-1-111i−ii−ii−i0000-112-20000i3−i30000−2i2i0000i−i3−33−3i3−i3i3−i3000000-11i−i00000i3−i3000000003−300
χ702-2-222-12−2i2i21-1-2-22-2-21−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i2-200−2i2i000000−33−33-1-111i−ii−ii−i0000-112-20000−i3i30000−2i2i0000i−i−33−33−i3i3−i3i3000000-11i−i00000−i3i300000000−3300
χ712-2-222-12−2i2i21-1-2-22-2-21−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i-22002i−2i0000003−33−3-1-111i−ii−ii−i00001-1-220000i3−i300002i−2i0000−ii3−33−3i3−i3i3−i30000001-1−ii00000−i3i300000000−3300
χ722-2-222-12−2i2i21-1-2-22-2-21−2i2i−2i2i-12-12-2-111-111-2i−i−2i2ii−ii−i−2i2i−2i2i-22002i−2i000000−33−33-1-111i−ii−ii−i00001-1-220000−i3i300002i−2i0000−ii−33−33−i3i3−i3i30000001-1−ii00000i3−i3000000003−300
χ7344444-2-244-2-2-24-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2440044000000000011111111110000-2-2-2-20000000000-2-20000-2-20000000000000011110000000000000000000
χ7444444-2-244-2-2-24-244-2-24444-2-21-2-21-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-4-400-4-4000000000011111111110000222200000000002200002200000000000000-1-1-1-10000000000000000000
χ7544444-2-2-4-4-2-2-24-244-2-2-4-4-4-4-2-21-2-21-21-2-21-22222222222224400-4-400000000001111-1-1-1-1-1-10000-2-2-2-20000000000220000220000000000000011-1-10000000000000000000
χ7644444-2-2-4-4-2-2-24-244-2-2-4-4-4-4-2-21-2-21-21-2-21-2222222222222-4-4004400000000001111-1-1-1-1-1-1000022220000000000-2-20000-2-200000000000000-1-1110000000000000000000
χ774444-24-244-244-2-2-2-2-24-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-2111100440000-2-2-2-200001111-2-2111140-2-20000111100-2-2-2-2000000000000000011110000000000000000000000000
χ784444-24-244-244-2-2-2-2-24-2-2-2-2-21-211-2-2-2-2-2-2144-2-2-2-2-2-2111100-4-40000222200001111-2-21111-40220000-1-1-1-10022220000000000000000-1-1-1-10000000000000000000000000
χ794444-24-2-4-4-244-2-2-2-2-242222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-100440000-2-2-2-20000111122-1-1-1-1-40-2-2000011110022220000000000000000-1-1-1-10000000000000000000000000
χ804444-24-2-4-4-244-2-2-2-2-242222-21-211-2-2-2-2-2-21-4-4222222-1-1-1-100-4-4000022220000111122-1-1-1-140220000-1-1-1-100-2-2-2-2000000000000000011110000000000000000000000000
χ814444-2-24444-2-2-24-2-24-2-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-2000000440000-2-2-2-21111-2-21111040000000000-2-2000000-2-2-2-2001111111100000000000000000000000000000
χ824444-2-24444-2-2-24-2-24-2-2-2-2-21-2-2-2-2-21-211-2-2-2-2441111-2-2-2-2000000-4-4000022221111-2-211110-4000000000022000000222200-1-1-1-1-1-1-1-100000000000000000000000000000
χ834444-2-24-4-44-2-2-24-2-24-222221-2-2-2-2-21-211-2-222-4-4-1-1-1-12222000000440000-2-2-2-2111122-1-1-1-10-4000000000022000000-2-222001111-1-1-1-100000000000000000000000000000
χ844444-2-24-4-44-2-2-24-2-24-222221-2-2-2-2-21-211-2-222-4-4-1-1-1-12222000000-4-400002222111122-1-1-1-1040000000000-2-200000022-2-200-1-1-1-1111100000000000000000000000000000
χ8544-4-444-20024-44-2-4-42-400004-2-22224-2-4-42-2000000000000004-40000-2-2220000-222-2000000004-40000-2-222000000000000000000000000000000000000000000000000000
χ8644-4-444-20024-44-2-4-42-400004-2-22224-2-4-42-200000000000000-44000022-2-20000-222-200000000-44000022-2-2000000000000000000000000000000000000000000000000000
χ8744-4-44-2400-4-2244-4-4-420000-24-2-4-42-2-222240000000000000000004i−4i0000−2i−2i2i2i-222-2000000000000000000000000004i−4i0000−2i−2i2i2i000000000000000000000000000000000
χ8844-4-44-2400-4-2244-4-4-420000-24-2-4-42-2-22224000000000000000000−4i4i00002i2i−2i−2i-222-200000000000000000000000000−4i4i00002i2i−2i−2i000000000000000000000000000000000
χ8944-4-4-24-20024-4-2-2222-4−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i3004-40000-2-22200001-1-1100i3i3−i3−i300-22000011-1-100−2i32i3000000000000000000i3i3−i3−i30000000000000000000000000
χ9044-4-4-24-20024-4-2-2222-4−2i3−2i32i32i3-21-2-1-12-2-222210000−2i3−2i32i32i3i3i3−i3−i300-44000022-2-200001-1-1100i3i3−i3−i3002-20000-1-111002i3−2i3000000000000000000−i3−i3i3i30000000000000000000000000
χ9144-4-4-24-20024-4-2-2222-42i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i3004-40000-2-22200001-1-1100−i3−i3i3i300-22000011-1-1002i3−2i3000000000000000000−i3−i3i3i30000000000000000000000000
χ9244-4-4-24-20024-4-2-2222-42i32i3−2i3−2i3-21-2-1-12-2-2222100002i32i3−2i3−2i3−i3−i3i3i300-44000022-2-200001-1-1100−i3−i3i3i3002-20000-1-11100−2i32i3000000000000000000i3i3−i3−i30000000000000000000000000
χ9344-4-4-2-2400-4-22-2422-42−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i30000004i−4i0000−2i−2i2i2i1-1-1100i3i3−i3−i300000000000000000000−2i2i23−2300ii−i−i−3−33300000000000000000000000000000
χ9444-4-4-2-2400-4-22-2422-42−2i3−2i32i32i31-2-22221-2-1-12-20000i3i3−i3−i3−2i3−2i32i32i3000000−4i4i00002i2i−2i−2i1-1-1100i3i3−i3−i3000000000000000000002i−2i−232300−i−iii33−3−300000000000000000000000000000
χ9544-4-4-2-2400-4-22-2422-422i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i30000004i−4i0000−2i−2i2i2i1-1-1100−i3−i3i3i300000000000000000000−2i2i−232300ii−i−i33−3−300000000000000000000000000000
χ9644-4-4-2-2400-4-22-2422-422i32i3−2i3−2i31-2-22221-2-1-12-20000−i3−i3i3i32i32i3−2i3−2i3000000−4i4i00002i2i−2i−2i1-1-1100−i3−i3i3i3000000000000000000002i−2i23−2300−i−iii−3−33300000000000000000000000000000
χ974-44-444400-4-4-4-4-4-44440000444-44-4-4-4-444-400000000000000000000000000004-44-4000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-2002-4-4-42-44-2400004-2-22-22-42-44-2200000000000000000000−2i32i32i3−2i30000-22-2200000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ994-44-444-2002-4-4-42-44-2400004-2-22-22-42-44-22000000000000000000002i3−2i3−2i32i30000-22-22000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ1004-44-44-2400-422-4-4-444-20000-24-2-442222-2-2-4000000000000000000000000−2i32i32i3−2i3-22-2200000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000000000000
χ1014-44-44-2400-422-4-4-444-20000-24-2-442222-2-2-40000000000000000000000002i3−2i3−2i32i3-22-22000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000000000000
χ1024-44-4-24400-4-4-42-42-24423−23−2323-2-242-2-42-42-242000023−23−232323−23−23230000000000000000-22-220023−23−2323000000000000000000000000000000000000000000000000000000000000000
χ1034-44-4-24400-4-4-42-42-244−232323−23-2-242-2-42-42-2420000−232323−23−232323−230000000000000000-22-2200−232323−23000000000000000000000000000000000000000000000000000000000000000
χ1044-44-4-24-2002-4-4222-2-2423−23−2323-21-2-112222-2-2-1000023−23−2323−333−300000000−2i32i32i3−2i300001-11-100−333−300000000i3−i3−i3i30000000000000000000000−3i3i3i−3i0000000000000000000000000
χ1054-44-4-24-2002-4-4222-2-2423−23−2323-21-2-112222-2-2-1000023−23−2323−333−3000000002i3−2i3−2i32i300001-11-100−333−300000000−i3i3i3−i300000000000000000000003i−3i−3i3i0000000000000000000000000
χ1064-44-4-24-2002-4-4222-2-24−232323−23-21-2-112222-2-2-10000−232323−233−3−3300000000−2i32i32i3−2i300001-11-1003−3−3300000000i3−i3−i3i300000000000000000000003i−3i−3i3i0000000000000000000000000
χ1074-44-4-24-2002-4-4222-2-24−232323−23-21-2-112222-2-2-10000−232323−233−3−33000000002i3−2i3−2i32i300001-11-1003−3−3300000000−i3i3i3−i30000000000000000000000−3i3i3i−3i0000000000000000000000000
χ1084-44-4-2-2400-4222-42-24-223−23−23231-2-22-22-12-11-220000−333−323−23−2323000000000000−2i32i32i3−2i31-11-100−333−300000000000000000000000000i3−i3−i3i33i−3i−3i3i00000000000000000000000000000
χ1094-44-4-2-2400-4222-42-24-223−23−23231-2-22-22-12-11-220000−333−323−23−23230000000000002i3−2i3−2i32i31-11-100−333−300000000000000000000000000−i3i3i3−i3−3i3i3i−3i00000000000000000000000000000
χ1104-44-4-2-2400-4222-42-24-2−232323−231-2-22-22-12-11-2200003−3−33−232323−23000000000000−2i32i32i3−2i31-11-1003−3−3300000000000000000000000000i3−i3−i3i3−3i3i3i−3i00000000000000000000000000000
χ1114-44-4-2-2400-4222-42-24-2−232323−231-2-22-22-12-11-2200003−3−33−232323−230000000000002i3−2i3−2i32i31-11-1003−3−3300000000000000000000000000−i3i3i3−i33i−3i−3i3i00000000000000000000000000000
χ1124-4-444-2-24i−4i-22-2-424-4224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i4-4004i−4i000000000011-1-1i−ii−ii−i0000-22-220000000000−2i2i0000−2i2i000000000000001-1i−i0000000000000000000
χ1134-4-444-2-24i−4i-22-2-424-4224i−4i4i−4i-2-21-2212-1-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i-4400−4i4i000000000011-1-1i−ii−ii−i00002-22-200000000002i−2i00002i−2i00000000000000-11−ii0000000000000000000
χ1144-4-444-2-2−4i4i-22-2-424-422−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i4-400−4i4i000000000011-1-1−ii−ii−ii0000-22-2200000000002i−2i00002i−2i000000000000001-1−ii0000000000000000000
χ1154-4-444-2-2−4i4i-22-2-424-422−4i4i−4i4i-2-21-2212-1-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i-44004i−4i000000000011-1-1−ii−ii−ii00002-22-20000000000−2i2i0000−2i2i00000000000000-11i−i0000000000000000000
χ1164-4-44-2444i−4i4-442-4-22-4-4−2i2i−2i2i-2-24-2242-4-22-424i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000000000000-2-2224i−4i−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000
χ1174-4-44-244−4i4i4-442-4-22-4-42i−2i2i−2i-2-24-2242-4-22-42−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i0000000000000000-2-222−4i4i2i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000
χ1184-4-44-24-24i−4i-2-4422-222-4−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i00000000−2i32i3−2i32i3000011-1-1−2i2ii−ii−i00000000i3−i3i3−i3000023−230000000000000000−33−330000000000000000000000000
χ1194-4-44-24-24i−4i-2-4422-222-4−2i2i−2i2i-21-21-1-222-222-14i−4i−2i2i−2i2i−2i2ii−ii−i000000002i3−2i32i3−2i3000011-1-1−2i2ii−ii−i00000000−i3i3−i3i30000−232300000000000000003−33−30000000000000000000000000
χ1204-4-44-24-2−4i4i-2-4422-222-42i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii00000000−2i32i3−2i32i3000011-1-12i−2i−ii−ii00000000i3−i3i3−i30000−232300000000000000003−33−30000000000000000000000000
χ1214-4-44-24-2−4i4i-2-4422-222-42i−2i2i−2i-21-21-1-222-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii000000002i3−2i32i3−2i3000011-1-12i−2i−ii−ii00000000−i3i3−i3i3000023−230000000000000000−33−330000000000000000000000000
χ1224-4-44-2-244i−4i42-22-4-22-42−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i00000000000023−2323−2311-1-1−2i2ii−ii−i000000000000−2i32i3000000000000−33−33i3−i3i3−i300000000000000000000000000000
χ1234-4-44-2-244i−4i42-22-4-22-42−2i2i−2i2i1-2-2-22-2-121-122−2i2i4i−4ii−ii−i−2i2i−2i2i000000000000−2323−232311-1-1−2i2ii−ii−i0000000000002i3−2i30000000000003−33−3−i3i3−i3i300000000000000000000000000000
χ1244-4-44-2-24−4i4i42-22-4-22-422i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i00000000000023−2323−2311-1-12i−2i−ii−ii0000000000002i3−2i3000000000000−33−33−i3i3−i3i300000000000000000000000000000
χ1254-4-44-2-24−4i4i42-22-4-22-422i−2i2i−2i1-2-2-22-2-121-1222i−2i−4i4i−ii−ii2i−2i2i−2i000000000000−2323−232311-1-12i−2i−ii−ii000000000000−2i32i30000000000003−33−3i3−i3i3−i300000000000000000000000000000
χ1268888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-4222222220000000000000000-1-1-1-122-1-1-1-1000000000000000000000000000000000000000000000000000000000000000
χ1278888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-20000000000000000-1-1-1-1-2-21111000000000000000000000000000000000000000000000000000000000000000
χ12888-8-88-4-4004-448-4-8-8440000-4-4244-2-4244-2-400000000000000000000000000002-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ12988-8-8-4-4-4004-44-4-44444−4i3−4i34i34i3222-2-2-222-2-2-2200002i32i3−2i3−2i32i32i3−2i3−2i30000000000000000-111-100−i3−i3i3i3000000000000000000000000000000000000000000000000000000000000000
χ13088-8-8-4-4-4004-44-4-444444i34i3−4i3−4i3222-2-2-222-2-2-220000−2i3−2i32i32i3−2i3−2i32i32i30000000000000000-111-100i3i3−i3−i3000000000000000000000000000000000000000000000000000000000000000
χ1318-88-88-4-400444-84-88-4-40000-4-424-4-24-24-42400000000000000000000000000002-22-2000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4-4-400444444-4-4-443−43−4343222-22-2-2-2-222-20000−232323−23−232323−230000000000000000-11-11003−3−33000000000000000000000000000000000000000000000000000000000000000
χ1338-88-8-4-4-400444444-4-4-4−434343−43222-22-2-2-2-222-2000023−23−232323−23−23230000000000000000-11-1100−333−3000000000000000000000000000000000000000000000000000000000000000
χ1348-8-88-4-4-48i−8i-44-444-4444−4i4i−4i4i2222-22-2-22-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i0000000000000000-1-1112i−2i−ii−ii000000000000000000000000000000000000000000000000000000000000000
χ1358-8-88-4-4-4−8i8i-44-444-44444i−4i4i−4i2222-22-2-22-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i0000000000000000-1-111−2i2ii−ii−i000000000000000000000000000000000000000000000000000000000000000

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