Finite Group Databasebeta

← Group #13169358

Character table — Group #13169358

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order12223334466666666612121212333666666666121212121212121212121212444412121212366612121212121224446666666612121212121212121212121212121212121212121212121212124444441212121212124441212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-11-111111111111111-1-111-1-111111111111111-1-1-1-111-1-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111111111111111111111111111-1-11111111111111111-1111-1-1-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-11111-1-1111111-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111111111-1-11111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-11111-1-11111-11-1-1111-1-111-1-1-1-111-11-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1111-111-1-1-1-1111-1-111-1-11-11-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1111111-1-111-1-1-1-11111111111-1-1-1-1-11-1-11111-1-1-11111-1-1-111-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-111111111-1-111-1-11-111-1-1-111-1-111-1-1111-1-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-111-111-1-111-1-1111-11-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11-1-1111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11-111-1-111-1-1-11111-1-1-11-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111-111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-11-1-111-1-1111-1-111-1-11-1-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-11111111111-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111111-111-1-11-1-111-1-1-1-111-111-1
χ17222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1202022-1-1-1-1-1-1-1-1-1-1-1-100220022-1-1-1-1-1-1-1-1-1-1-1-1000022000000020-1-1-1-100000000
χ18222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122-2-2-2-2-2-2-1-1-1-122-1-1-1-120-2022-1-1-1-1-1-1-1-1111100-2-2002211111111-1-1-1-10000-2-20000000-20111100000000
χ19222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2222222-1-1-1-122-1-1-1-1-2020-2-211111111-1-1-1-1002200-2-2-1-1-1-1-1-1-1-111110000-2-20000000-20111100000000
χ20222222-12222-12-1-1222-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-122-1-1-1-1-20-20-2-211111111111100-2-200-2-2111111111111000022000000020-1-1-1-100000000
χ21222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-21111111122222222-1-1-1-1-2-21111-20-20-2-2111111-1-1-1-11100-2-20022-1-1-1-11111-1-1-1-10000220000000-20-1-11100000000
χ22222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-21111111122-2-2-2-2-2-2-1-1-1-1-2-21111-2020-2-2111111-1-111-1-1002200221111-1-1-1-1-1-1-1-10000-2-200000002011-1-100000000
χ23222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-2222222-1-1-1-1-2-2111120-2022-1-1-1-1-1-111-1-11100-2-200-2-2-1-1-1-1111111110000-2-200000002011-1-100000000
χ24222222-1-2-222-12-1-122211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-2-2-2-2-2-2-2-1-1-1-1-2-21111202022-1-1-1-1-1-11111-1-1002200-2-21111-1-1-1-111110000220000000-20-1-11100000000
χ2522222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-12202-1-122-1-1-1-1220000220022-1-100000000-1-1-1-1000000-1-1-1-1-1-120200000000-1-100
χ2622222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-122000000-1-1-1-1-1-1-1-1-1-12-20-2-1-122-1-1-1-1220000-2-200-2-2-1-100000000-1-1-1-1000000111111-20-2000000001100
χ2722222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1-220211-2-21111-2-2000022002211000000001111000000-1-1-1-1-1-1-20-2000000001100
χ2822222-1222-122-12222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2000000-1-1-1-1-1-1-1-1-1-1-2-20-211-2-21111-2-20000-2-200-2-21100000000111100000011111120200000000-1-100
χ2922222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-2111122000000-1-1-1-1111111-220-211-2-211112200002200-2-2-1-100000000-1-1-1-10000001-111-1-120-2000000001-100
χ3022222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-2111122000000-1-1-1-1111111-2-20211-2-21111220000-2-20022-1-100000000-1-1-1-1000000-11-1-111-20200000000-1100
χ3122222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-1111111220-2-1-122-1-1-1-1-2-200002200-2-2110000000011110000001-111-1-1-20200000000-1100
χ3222222-12-2-2-122-12222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2000000-1-1-1-11111112-202-1-122-1-1-1-1-2-20000-2-2002211000000001111000000-11-1-11120-2000000001-100
χ332222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1022200000000002222-1-1-1-1-1-100-1-1-1-1-1-1-1-1000022220022-1-1-1-10000000-1-1-1-10000
χ342222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220022-1-1-1-1-1-1-1-1-1-1-1-1-1-10-22-20000000000222211-1-11100-1-1-1-1-1-1-1-10000-2-2-2-200-2-21111000000011110000
χ352222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-102-220000000000-2-2-2-2-1-111-1-100111111110000-2-2-2-20022-1-1-1-1000000011110000
χ362222-122222-12222-1-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-1222200-2-21111-1-1-1-1-1-1-1-1-1-10-2-2-20000000000-2-2-2-211111100111111110000222200-2-211110000000-1-1-1-10000
χ372222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-1-1-1-1-111111102-2-2000000000022-2-2-1-1111100-1-1-1-111110000-2-22200-2211-1-1000000011-1-10000
χ382222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20022-1-1-1-1-1-1-1-11111110-2-22000000000022-2-21111-1-100-1-1-1-11111000022-2-2002-2-1-1110000000-1-1110000
χ392222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-21111-1-1-1-1111111022-20000000000-2-222-1-1-1-111001111-1-1-1-1000022-2-200-2211-1-10000000-1-1110000
χ402222-122-2-22-12222-1-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-200-2-21111-1-1-1-11111110-2220000000000-2-22211-1-1-1-1001111-1-1-1-10000-2-222002-2-1-111000000011-1-10000
χ4122-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-2220000000000002-22i−2i2i2i−2i−2i2-2-220000000000000000002-22i−2i000000002-22i2i−2i−2i000022-2-200002i−2i0000000002i−2i0000000000
χ4222-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-2220000000000002-2−2i2i−2i−2i2i2i2-2-220000000000000000002-2−2i2i000000002-2−2i−2i2i2i000022-2-20000−2i2i000000000−2i2i0000000000
χ4322-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-222000000000000-222i−2i2i2i−2i−2i2-2-22000000000000000000-222i−2i00000000-222i2i−2i−2i0000-2-2220000−2i2i000000000−2i2i0000000000
χ4422-2-222200-2-22-2-2-22-220000222-2-2-22-2-2-222000000000000-22−2i2i−2i−2i2i2i2-2-22000000000000000000-22−2i2i00000000-22−2i−2i2i2i0000-2-22200002i−2i0000000002i−2i0000000000
χ4522-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i32-22i−2i2i2i−2i−2i-111-100−i3−i3i3i3000000−i3i3−i3−i3i3i3-11−ii3−30000002-2−i−iii33−3−3-1-11100002i−2i000000000−ii3−300000000
χ4622-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i32-2−2i2i−2i−2i2i2i-111-100−i3−i3i3i3000000−i3i3−i3−i3i3i3-11i−i−330000002-2ii−i−i−3−333-1-1110000−2i2i000000000i−i−3300000000
χ4722-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3-222i−2i2i2i−2i−2i-111-100−i3−i3i3i3000000i3−i3i3i3−i3−i31-1−ii3−3000000-22−i−iii33−3−311-1-10000−2i2i000000000i−i−3300000000
χ4822-2-222-100-2-2-1-2112-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3-22−2i2i−2i−2i2i2i-111-100−i3−i3i3i3000000i3−i3i3i3−i3−i31-1i−i−33000000-22ii−i−i−3−33311-1-100002i−2i000000000−ii3−300000000
χ4922-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i32-22i−2i2i2i−2i−2i-111-100i3i3−i3−i3000000i3−i3i3i3−i3−i3-11−ii−330000002-2−i−iii−3−333-1-11100002i−2i000000000−ii−3300000000
χ5022-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i32-2−2i2i−2i−2i2i2i-111-100i3i3−i3−i3000000i3−i3i3i3−i3−i3-11i−i3−30000002-2ii−i−i33−3−3-1-1110000−2i2i000000000i−i3−300000000
χ5122-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i3-222i−2i2i2i−2i−2i-111-100i3i3−i3−i3000000−i3i3−i3−i3i3i31-1−ii−33000000-22−i−iii−3−33311-1-10000−2i2i000000000i−i3−300000000
χ5222-2-222-100-2-2-1-2112-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i3-22−2i2i−2i−2i2i2i-111-100i3i3−i3−i3000000−i3i3−i3−i3i3i31-1i−i3−3000000-22ii−i−i33−3−311-1-100002i−2i000000000−ii−3300000000
χ532-22-22222i−2i-2-2-222-2-22-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i000000000000000000000000000000000000002i−2i2-20000000000000002i−2i2-20000
χ542-22-22222i−2i-2-2-222-2-22-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000022-2-22i−2i2i−2i2i−2i00000000000000000000000000000000000000−2i2i-22000000000000000−2i2i-220000
χ552-22-2222−2i2i-2-2-222-2-22-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i000000000000000000000000000000000000002i−2i-220000000000000002i−2i-220000
χ562-22-2222−2i2i-2-2-222-2-22-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000022-2-2−2i2i−2i2i−2i2i00000000000000000000000000000000000000−2i2i2-2000000000000000−2i2i2-20000
χ572-22-2-1222i−2i-21-222-21-1-22i−2i2i−2i-1-1212-21-1-111-2−ii2i−2i−ii−ii2i−2i2i−2i00003−33−3-1-111−ii−ii−ii0000000000000000003−3−i3i3−i3i3003−33−3−i3i3−i3i300002i−2i2-20000−i3i33−30000000−ii-110000
χ582-22-2-1222i−2i-21-222-21-1-22i−2i2i−2i-1-1212-21-1-111-2−ii2i−2i−ii−ii2i−2i2i−2i00003−33−3-1-111−ii−ii−ii000000000000000000−33−i3i3i3−i3003−33−3−i3i3−i3i30000−2i2i-220000i3−i3−330000000i−i1-10000
χ592-22-2-1222i−2i-21-222-21-1-22i−2i2i−2i-1-1212-21-1-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000−33−33-1-111−ii−ii−ii0000000000000000003−3i3−i3−i3i300−33−33i3−i3i3−i30000−2i2i-220000−i3i33−30000000i−i1-10000
χ602-22-2-1222i−2i-21-222-21-1-22i−2i2i−2i-1-1212-21-1-111-2−ii2i−2i−ii−ii2i−2i2i−2i0000−33−33-1-111−ii−ii−ii000000000000000000−33i3−i3i3−i300−33−33i3−i3i3−i300002i−2i2-20000i3−i3−330000000−ii-110000
χ612-22-2-122−2i2i-21-222-21-1-2−2i2i−2i2i-1-1212-21-1-111-2i−i−2i2ii−ii−i−2i2i−2i2i00003−33−3-1-111i−ii−ii−i0000000000000000003−3i3−i3i3−i3003−33−3i3−i3i3−i30000−2i2i2-20000i3−i33−30000000i−i-110000
χ622-22-2-122−2i2i-21-222-21-1-2−2i2i−2i2i-1-1212-21-1-111-2i−i−2i2ii−ii−i−2i2i−2i2i00003−33−3-1-111i−ii−ii−i000000000000000000−33i3−i3−i3i3003−33−3i3−i3i3−i300002i−2i-220000−i3i3−330000000−ii1-10000
χ632-22-2-122−2i2i-21-222-21-1-2−2i2i−2i2i-1-1212-21-1-111-2i−i−2i2ii−ii−i−2i2i−2i2i0000−33−33-1-111i−ii−ii−i0000000000000000003−3−i3i3i3−i300−33−33−i3i3−i3i300002i−2i-220000i3−i33−30000000−ii1-10000
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χ6644444-2-244-24-2-2-2-244-2-2-2-2-2-2-21-211-2-2-2-2-2144-2-2-2-2-2-21111-4-40000001111-2-21111-40002222-1-1-1-12200000000002200000000-1-1-1-1000000000000000000000000000
χ6744444-2-2-4-4-24-2-2-2-244-22222-2-21-211-2-2-2-2-21-4-4222222-1-1-1-144000000111122-1-1-1-1-40002222-1-1-1-1-2-20000000000-2-2000000001111000000000000000000000000000
χ6844444-2-2-4-4-24-2-2-2-244-22222-2-21-211-2-2-2-2-21-4-4222222-1-1-1-1-4-4000000111122-1-1-1-14000-2-2-2-211112200000000002200000000-1-1-1-1000000000000000000000000000
χ694444-24-2444-2-24-2-2-2-24-2-2-2-2-21-2-2-2-21-211-2-2-2-2441111-2-2-2-20044-2-2-2-21111-2-2111100400000000000-2-2-2-200-2-20000111111110000000000000000000000000000000
χ704444-24-2444-2-24-2-2-2-24-2-2-2-2-21-2-2-2-21-211-2-2-2-2441111-2-2-2-200-4-422221111-2-2111100-400000000000222200220000-1-1-1-1-1-1-1-10000000000000000000000000000000
χ714444-24-2-4-44-2-24-2-2-2-242222-21-2-2-2-21-211-2-222-4-4-1-1-1-122220044-2-2-2-2111122-1-1-1-100-400000000000-2-222002200001111-1-1-1-10000000000000000000000000000000
χ724444-24-2-4-44-2-24-2-2-2-242222-21-2-2-2-21-211-2-222-4-4-1-1-1-1222200-4-42222111122-1-1-1-10040000000000022-2-200-2-20000-1-1-1-111110000000000000000000000000000000
χ734444-2-2444-2-24-244-2-2-244441-2-21-2-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2000000001111111111040400000000000000-2-200-2-200000000000000000000-2-21111000000000000000
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χ754444-2-24-4-4-2-24-244-2-2-2-4-4-4-41-2-21-2-2-21-2-21-2222222222222000000001111-1-1-1-1-1-1040-400000000000000-2-20022000000000000000000002-2-1-111000000000000000
χ764444-2-24-4-4-2-24-244-2-2-2-4-4-4-41-2-21-2-2-21-2-21-2222222222222000000001111-1-1-1-1-1-10-404000000000000002200-2-200000000000000000000-2211-1-1000000000000000
χ7744-4-44-24002-442-4-44-4-20000-24-222242-4-4-2-20000000000004-4000000-222-20000000000000000004-40000000000-2200000000-2-222000000000000000000000000000
χ7844-4-44-24002-442-4-44-4-20000-24-222242-4-4-2-2000000000000-44000000-222-2000000000000000000-4400000000002-20000000022-2-2000000000000000000000000000
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χ8244-4-44-2-2002-4-22224-4-22i32i3−2i3−2i3-2-212-1-1-2222-2100002i32i3−2i3−2i3−i3−i3i3i3-440000001-1-1100−i3−i3i3i3000000−2i32i3i3i3−i3−i32-200000000002-200000000-1-111000000000000000000000000000
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χ8444-4-4-24400-424-4-4-4-2240000-2-242-4-4-2222-2400000000000000−4i4i2i2i−2i−2i-222-200000000000000000000−4i4i00000000002i2i−2i−2i00000000000000000000000000000000000
χ8544-4-4-24-200-42-2-422-224−2i3−2i32i32i3-21-222212-1-1-2-20000i3i3−i3−i3−2i3−2i32i32i3004i−4i−2i−2i2i2i1-1-1100i3i3−i3−i300000000000000−2i2i23−2300000000ii−i−i−3−3330000000000000000000000000000000
χ8644-4-4-24-200-42-2-422-224−2i3−2i32i32i3-21-222212-1-1-2-20000i3i3−i3−i3−2i3−2i32i32i300−4i4i2i2i−2i−2i1-1-1100i3i3−i3−i3000000000000002i−2i−232300000000−i−iii33−3−30000000000000000000000000000000
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χ894-44-444-24i−4i-4-424-22-44-4−2i2i−2i2i4-2-2-4-2224-22-424i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-2-2224i−4i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ904-44-444-2−4i4i-4-424-22-44-42i−2i2i−2i4-2-2-4-2224-22-42−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-2-222−4i4i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-244i−4i2-4-4-24-4-4424i−4i4i−4i-24-22-22-4-24-4224i−4i−2i2i4i−4i4i−4i−2i2i−2i2i00000000-2-222−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-24−4i4i2-4-4-24-4-442−4i4i−4i4i-24-22-22-4-24-422−4i4i2i−2i−4i4i−4i4i2i−2i2i−2i00000000-2-2222i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000
χ934-44-44-2-24i−4i2-42-2-22-442−2i2i−2i2i-2-2121-12-2-222-14i−4i−2i2i−2i2i−2i2ii−ii−i0000000011-1-1−2i2ii−ii−i000000003-33-300000000000000000000003i−3i3i−3i000000000000000000000000000
χ944-44-44-2-24i−4i2-42-2-22-442−2i2i−2i2i-2-2121-12-2-222-14i−4i−2i2i−2i2i−2i2ii−ii−i0000000011-1-1−2i2ii−ii−i00000000-33-330000000000000000000000−3i3i−3i3i000000000000000000000000000
χ954-44-44-2-2−4i4i2-42-2-22-4422i−2i2i−2i-2-2121-12-2-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii0000000011-1-12i−2i−ii−ii000000003-33-30000000000000000000000−3i3i−3i3i000000000000000000000000000
χ964-44-44-2-2−4i4i2-42-2-22-4422i−2i2i−2i-2-2121-12-2-222-1−4i4i2i−2i2i−2i2i−2i−ii−ii0000000011-1-12i−2i−ii−ii00000000-33-3300000000000000000000003i−3i3i−3i000000000000000000000000000
χ974-44-4-24-24i−4i-4224-222-2-4−2i2i−2i2i-21-22-22-1-21-122−2i2i4i−4ii−ii−i−2i2i−2i2i000023−2323−2311-1-1−2i2ii−ii−i00000000000000000000−2i32i30000−33−33i3−i3i3−i30000000000000000000000000000000
χ984-44-4-24-24i−4i-4224-222-2-4−2i2i−2i2i-21-22-22-1-21-122−2i2i4i−4ii−ii−i−2i2i−2i2i0000−2323−232311-1-1−2i2ii−ii−i000000000000000000002i3−2i300003−33−3−i3i3−i3i30000000000000000000000000000000
χ994-44-4-24-2−4i4i-4224-222-2-42i−2i2i−2i-21-22-22-1-21-1222i−2i−4i4i−ii−ii2i−2i2i−2i000023−2323−2311-1-12i−2i−ii−ii000000000000000000002i3−2i30000−33−33−i3i3−i3i30000000000000000000000000000000
χ1004-44-4-24-2−4i4i-4224-222-2-42i−2i2i−2i-21-22-22-1-21-1222i−2i−4i4i−ii−ii2i−2i2i−2i0000−2323−232311-1-12i−2i−ii−ii00000000000000000000−2i32i300003−33−3i3−i3i3−i30000000000000000000000000000000
χ1014-44-4-2-244i−4i22-4-24-42-224i−4i4i−4i1-2-2-1-2221-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i00000000000000000023−2300−2i32i30000000000000000000000i3−i3−33000000000000000
χ1024-44-4-2-244i−4i22-4-24-42-224i−4i4i−4i1-2-2-1-2221-22-12−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000011-1-1i−ii−ii−i000000000000000000−2323002i3−2i30000000000000000000000−i3i33−3000000000000000
χ1034-44-4-2-24−4i4i22-4-24-42-22−4i4i−4i4i1-2-2-1-2221-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii00000000000000000023−23002i3−2i30000000000000000000000−i3i3−33000000000000000
χ1044-44-4-2-24−4i4i22-4-24-42-22−4i4i−4i4i1-2-2-1-2221-22-122i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000011-1-1−ii−ii−ii000000000000000000−232300−2i32i30000000000000000000000i3−i33−3000000000000000
χ1054-4-444440044-4-4-44-4-4-400004444-44-4-4-44-4-4000000000000000000004-44-400000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-4444-200442-42-2-4-4-423−23−23234-2-242-22-42-2-42000023−23−232323−23−232300000000-22-220023−23−232300000000000000000000000000000000000000000000000000000000000000000
χ1074-4-4444-200442-42-2-4-4-4−232323−234-2-242-22-42-2-420000−232323−23−232323−2300000000-22-2200−232323−2300000000000000000000000000000000000000000000000000000000000000000
χ1084-4-444-2400-24-42-44-4-420000-24-2-22-2-42-442200000000000000000000-22-220000000000−2i32i300−2i32i32i3−2i300000000000000000000000000000000000000000000000000000
χ1094-4-444-2400-24-42-44-4-420000-24-2-22-2-42-442200000000000000000000-22-2200000000002i3−2i3002i3−2i3−2i32i300000000000000000000000000000000000000000000000000000
χ1104-4-444-2-200-24222-2-4-4223−23−2323-2-21-2-11222-22-1000023−23−2323−333−3000000001-11-100−333−30000−2i32i300i3−i3−i3i30000000000000000000000−3i3i3i−3i000000000000000000000000000
χ1114-4-444-2-200-24222-2-4-4223−23−2323-2-21-2-11222-22-1000023−23−2323−333−3000000001-11-100−333−300002i3−2i300−i3i3i3−i300000000000000000000003i−3i−3i3i000000000000000000000000000
χ1124-4-444-2-200-24222-2-4-42−232323−23-2-21-2-11222-22-10000−232323−233−3−33000000001-11-1003−3−330000−2i32i300i3−i3−i3i300000000000000000000003i−3i−3i3i000000000000000000000000000
χ1134-4-444-2-200-24222-2-4-42−232323−23-2-21-2-11222-22-10000−232323−233−3−33000000001-11-1003−3−3300002i3−2i300−i3i3i3−i30000000000000000000000−3i3i3i−3i000000000000000000000000000
χ1144-4-44-244004-2-4-4-4422-40000-2-24-2-44222-22-40000000000000000−2i32i32i3−2i3-22-2200000000000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000
χ1154-4-44-244004-2-4-4-4422-40000-2-24-2-44222-22-400000000000000002i3−2i3−2i32i3-22-22000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000
χ1164-4-44-24-2004-22-42-222-423−23−2323-21-2-22-2-12-11220000−333−323−23−23230000−2i32i32i3−2i31-11-100−333−300000000000000000000000000i3−i3−i3i33i−3i−3i3i0000000000000000000000000000000
χ1174-4-44-24-2004-22-42-222-423−23−2323-21-2-22-2-12-11220000−333−323−23−232300002i3−2i3−2i32i31-11-100−333−300000000000000000000000000−i3i3i3−i3−3i3i3i−3i0000000000000000000000000000000
χ1184-4-44-24-2004-22-42-222-4−232323−23-21-2-22-2-12-112200003−3−33−232323−230000−2i32i32i3−2i31-11-1003−3−3300000000000000000000000000i3−i3−i3i3−3i3i3i−3i0000000000000000000000000000000
χ1194-4-44-24-2004-22-42-222-4−232323−23-21-2-22-2-12-112200003−3−33−232323−2300002i3−2i3−2i32i31-11-1003−3−3300000000000000000000000000−i3i3i3−i33i−3i−3i3i0000000000000000000000000000000
χ1208888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4-42222222200000000-1-1-1-122-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-4-4-4-8-8-4-4-4-4-4-4-4-4-444442222222222224444-2-2-2-2-2-2-2-200000000-1-1-1-1-2-2111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-8-4-48004484-8-8-44-400002-4-4-244-4-2442-4000000000000000000002-2-2200000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-8-4-4-40044-4444-44-4−4i3−4i34i34i3222-2-2-22-2-2-22200002i32i3−2i3−2i32i32i3−2i3−2i300000000-111-100−i3−i3i3i300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-8-4-4-40044-4444-44-44i34i3−4i3−4i3222-2-2-22-2-2-2220000−2i3−2i32i32i3−2i3−2i32i32i300000000-111-100i3i3−i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-48i−8i444-4-444-44−4i4i−4i4i222-22-2-222-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i00000000-1-1112i−2i−ii−ii00000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4−8i8i444-4-444-444i−4i4i−4i222-22-2-222-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i00000000-1-111−2i2ii−ii−i00000000000000000000000000000000000000000000000000000000000000000
χ1278-8-88-4-4800-4-4-84-8844400002-4-424-44-24-4-24000000000000000000002-22-200000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-88-4-4-400-4-4444-444443−43−43432222-22-2-2-22-2-20000−232323−23−232323−2300000000-11-11003−3−3300000000000000000000000000000000000000000000000000000000000000000
χ1298-8-88-4-4-400-4-4444-4444−434343−432222-22-2-2-22-2-2000023−23−232323−23−232300000000-11-1100−333−300000000000000000000000000000000000000000000000000000000000000000

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