Finite Group Databasebeta

← Group #13172371

Character table — Group #13172371

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129
size1111222222222222222222444444444444444444444444666666668888888888121212121212121212121212121212121212121212121212121212121212121212121212121218181818181824242424242436363636363636363636367272108108
order122222333666666666666633366666666666666666666644441212121236666666662444661212121212121212121212121212121212121212121212121212121212121212222244666121212224666666121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-11-11-1-111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-111111111111111111-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-111111111111111-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111111111-1-111-1-1-1-111111111111-11111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111-1-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1-111
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
χ91111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-11-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111111-1-1-1-1-11-1-111-1-111-111-1
χ101111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1111-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1111-11-11111-1-1-1-11-1-11
χ111111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-11-1-111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-1-111-1-1-1-1-111111-1-11
χ121111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111-1-111111-1-1111-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11111-1111-1-111-1-1-111-1
χ131111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1111-1-1-11-1111-1-111-1-1-11-11
χ141111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-111-1-1-1-11-1-1111-1-1-1-1-111-1-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-111111-11-1
χ151111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1111-1-1-1-11-11111-1-1-1-11-11-1
χ161111-1-11111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1111-1-11-1-111-1-111-11-11
χ1722222222-1222-1-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122222222-122-1-1-1-1-1-1-1020200-1-1-1-122-1-122-1-12200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122000000000020000-1-1-1-1000000
χ1822222222-1222-1-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-122-2-22222-122-1-1-1-1-1-1-1020-200-1-1-1-1-2-211-2-2112200-1-1-1-1-1-1-1-111111111-2-20000000000-200001111000000
χ1922222222-1222-1-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-222-2-2-2-2-122-1-1-1-1-1-1-10-20200111122-1-122-1-1-2-20011111111-1-1-1-1-1-1-1-1-2-20000000000-200001111000000
χ2022222222-1222-1-1-1-1-12-1-122-1-122222-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-2-2-2-2-2-2-2-2-122-1-1-1-1-1-1-10-20-2001111-2-211-2-211-2-200111111111111111122000000000020000-1-1-1-1000000
χ212222222-1222-122222-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-100220000-1-1-1-1-1-1-1-1-1-12022220000-1-122-1-122002200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-102200000000-1-100
χ222222222-1222-122222-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-100220000-1-1-1-1-1-1-1-1-1-1-20-22-2-20000-1-122-1-12200-2-200000000-1-1-1-1-1-1-1-10000001111110-2-2000000001100
χ232222222-1222-122222-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-100-2-20000-1-1-1-1-1-1-1-1-1-1202-222000011-2-211-2-200220000000011111111000000-1-1-1-1-1-10-2-2000000001100
χ242222222-1222-122222-122-122-1-122-1-122-1-12222-1-1-1-1-1-1-12-100-2-20000-1-1-1-1-1-1-1-1-1-1-20-2-2-2-2000011-2-211-2-200-2-2000000001111111100000011111102200000000-1-100
χ25222222-122-1-12222222222-1-12-1-1-122-1-122-1-1-1-12222-1-1-1-122200-1-1-1-1-1-1-1-1-1-1-1-1-1-12220-1-1222200000000-1-1-1-1-1-1-1-1-1-1-1-1000000000022222-1-12-1-1000-1-10000-1-10000
χ26222222-122-1-12222222222-1-12-1-1-122-1-122-1-1-1-12222-1-1-1-122200-1-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2011222200000000-1-111-1-1-1-1-1-1-1-10000000000-2-2-2-2-211-211000110000110000
χ27222222-122-1-12222222222-1-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2001111-1-1-1-1-1-1-1-1-1-12-220-1-1-2-2-2-20000000011-1-1111111110000000000-2-2-2-22-1-12-1-1000110000110000
χ28222222-122-1-12222222222-1-12-1-1-122-1-122-1-1-1-12222-1-1-1-12-2-2001111-1-1-1-1-1-1-1-1-1-1-2-2-2011-2-2-2-20000000011111111111100000000002222-211-211000-1-10000-1-10000
χ292222-2-222-1222-111112-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-122222222-1-2-2-1-1-111110-20-200-1-11122-1-1-2-211-2-200-1-1-1-11111-1-1-1-11111220000000000-20000-1-111000000
χ302222-2-222-1222-111112-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-122-2-22222-1-2-2-1-1-111110-20200-1-111-2-21122-1-1-2-200-1-1-1-111111111-1-1-1-1-2-200000000002000011-1-1000000
χ312222-2-222-1222-111112-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-222-2-2-2-2-1-2-2-1-1-11111020-20011-1-122-1-1-2-21122001111-1-1-1-1-1-1-1-11111-2-200000000002000011-1-1000000
χ322222-2-222-1222-111112-1-122-1-12-2-2-2-2-1-1-1-111111111222-1-1-2-2-2-2-2-2-2-2-1-2-2-1-1-1111102020011-1-1-2-21122-1-122001111-1-1-1-11111-1-1-1-1220000000000-20000-1-111000000
χ332222-2-22-1222-12-2-2-2-2-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100220000-111-1-1-1111120-2-2220000-1-12211-2-200-2-200000000-1-1-1-11111000000-1-1-11110-22000000001-100
χ342222-2-22-1222-12-2-2-2-2-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100220000-111-1-1-11111-202-2-2-20000-1-12211-2-2002200000000-1-1-1-11111000000111-1-1-102-200000000-1100
χ352222-2-22-1222-12-2-2-2-2-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100-2-20000-111-1-1-1111120-2222000011-2-2-1-12200-2-2000000001111-1-1-1-1000000-1-1-111102-200000000-1100
χ362222-2-22-1222-12-2-2-2-2-122-122-1-1-2-21122-1-1-2-2-2-21111-1-1-12-100-2-20000-111-1-1-11111-2022-2-2000011-2-2-1-1220022000000001111-1-1-1-1000000111-1-1-10-22000000001-100
χ372222-2-2-122-1-122-2-2-2-22222-1-12-111-2-2-1-1221111-2-2-2-2-1-1-1-122200-1-1-1-1-111-1-1-111112-2-20-1-122-2-2000000001111-1-1-1-111110000000000-2-2222-1-1-211000110000-1-10000
χ382222-2-2-122-1-122-2-2-2-22222-1-12-111-2-2-1-1221111-2-2-2-2-1-1-1-122200-1-1-1-1-111-1-1-11111-2-2201122-2-20000000011-1-1-1-1-1-11111000000000022-2-2-2112-1-1000-1-10000110000
χ392222-2-2-122-1-122-2-2-2-22222-1-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2001111-111-1-1-1111122-20-1-1-2-22200000000-1-1111111-1-1-1-1000000000022-2-22-1-1-211000-1-10000110000
χ402222-2-2-122-1-122-2-2-2-22222-1-12-111-2-2-1-1221111-2-2-2-2-1-1-1-12-2-2001111-111-1-1-11111-222011-2-22200000000-1-1-1-11111-1-1-1-10000000000-2-222-2112-1-1000110000-1-10000
χ4122-2-2002222-2220000-2-2-2-2-222200002-22-2000000002-2-2-2-22i−2i2i−2i2i2i−2i−2i2002-2-200000000002i−2i002i−2i2i−2i000000002i2i−2i−2i00002i2i−2i−2i00002-20000000000000002-200000000
χ4222-2-2002222-2220000-2-2-2-2-222200002-22-2000000002-2-2-2-22i−2i−2i2i2i2i−2i−2i2002-2-200000000002i−2i00−2i2i−2i2i000000002i2i−2i−2i0000−2i−2i2i2i0000-22000000000000000-2200000000
χ4322-2-2002222-2220000-2-2-2-2-222200002-22-2000000002-2-2-2-2−2i2i2i−2i−2i−2i2i2i2002-2-20000000000−2i2i002i−2i2i−2i00000000−2i−2i2i2i00002i2i−2i−2i0000-22000000000000000-2200000000
χ4422-2-2002222-2220000-2-2-2-2-222200002-22-2000000002-2-2-2-2−2i2i−2i2i−2i−2i2i2i2002-2-20000000000−2i2i00−2i2i−2i2i00000000−2i−2i2i2i0000−2i−2i2i2i00002-20000000000000002-200000000
χ4522-2-20022-12-22-1−i3−i3i3i3-211-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-2112i−2i2i−2i2i2i−2i−2i-100-111−i3−i3i3i3000000−ii3−32i−2i−ii003−30000−i−iii33−3−3−i−iii33−3−32-2000000000000000-11−i3i3000000
χ4622-2-20022-12-22-1−i3−i3i3i3-211-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-2112i−2i−2i2i2i2i−2i−2i-100-111−i3−i3i3i3000000−ii3−3−2i2ii−i00−330000−i−iii33−3−3ii−i−i−3−333-220000000000000001-1i3−i3000000
χ4722-2-20022-12-22-1−i3−i3i3i3-211-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211−2i2i2i−2i−2i−2i2i2i-100-111−i3−i3i3i3000000i−i−332i−2i−ii003−30000ii−i−i−3−333−i−iii33−3−3-220000000000000001-1i3−i3000000
χ4822-2-20022-12-22-1−i3−i3i3i3-211-2-2-1-120000-11-11−i3−i3i3i3−i3−i3i3i32-2-211−2i2i−2i2i−2i−2i2i2i-100-111−i3−i3i3i3000000i−i−33−2i2ii−i00−330000ii−i−i−3−333ii−i−i−3−3332-2000000000000000-11−i3i3000000
χ4922-2-20022-12-22-1i3i3−i3−i3-211-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-2112i−2i2i−2i2i2i−2i−2i-100-111i3i3−i3−i3000000−ii−332i−2i−ii00−330000−i−iii−3−333−i−iii−3−3332-2000000000000000-11i3−i3000000
χ5022-2-20022-12-22-1i3i3−i3−i3-211-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-2112i−2i−2i2i2i2i−2i−2i-100-111i3i3−i3−i3000000−ii−33−2i2ii−i003−30000−i−iii−3−333ii−i−i33−3−3-220000000000000001-1−i3i3000000
χ5122-2-20022-12-22-1i3i3−i3−i3-211-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-211−2i2i2i−2i−2i−2i2i2i-100-111i3i3−i3−i3000000i−i3−32i−2i−ii00−330000ii−i−i33−3−3−i−iii−3−333-220000000000000001-1−i3i3000000
χ5222-2-20022-12-22-1i3i3−i3−i3-211-2-2-1-120000-11-11i3i3−i3−i3i3i3−i3−i32-2-211−2i2i−2i2i−2i−2i2i2i-100-111i3i3−i3−i3000000i−i3−3−2i2ii−i003−30000ii−i−i33−3−3ii−i−i33−3−32-2000000000000000-11i3−i3000000
χ532-22-22-2222-2-2-2-22-22-2-22-2222222-22-2-2-2-222-22-22-22-2-2-222-20000000022-2-22-22-22-200000000000000000000000000000000000000002-22-20000000002-200002-20000
χ542-22-22-2222-2-2-2-22-22-2-22-2222222-22-2-2-2-222-22-22-22-2-2-222-20000000022-2-22-22-22-20000000000000000000000000000000000000000-22-22000000000-220000-220000
χ552-22-22-2-12211-2-22-22-2-22-22-1-12-1-112-211-22-11-112-22-211-1-1-20000−i3i3−i3i3-1-111-11-11-110000−i3i3000000000000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000002-22-20−i3i30−i3i3000-110000-110000
χ562-22-22-2-12211-2-22-22-2-22-22-1-12-1-112-211-22-11-112-22-211-1-1-20000−i3i3−i3i3-1-111-11-11-110000i3−i3000000000000−i3i3i3−i3−i3i3−i3i3−i3i3−i3i30000000000-22-220i3−i30i3−i30001-100001-10000
χ572-22-22-2-12211-2-22-22-2-22-22-1-12-1-112-211-22-11-112-22-211-1-1-20000i3−i3i3−i3-1-111-11-11-110000−i3i3000000000000i3−i3−i3i3i3−i3i3−i3i3−i3i3−i30000000000-22-220−i3i30−i3i30001-100001-10000
χ582-22-22-2-12211-2-22-22-2-22-22-1-12-1-112-211-22-11-112-22-211-1-1-20000i3−i3i3−i3-1-111-11-11-110000i3−i3000000000000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000002-22-20i3−i30i3−i3000-110000-110000
χ592-22-2-22222-2-2-2-2-22-22-22-222222-22-22-2-2-22-22-22-22-22-2-222-2000000002-22-22-2-22-2200000000000000000000000000000000000000002-2-220000000002-20000-220000
χ602-22-2-22222-2-2-2-2-22-22-22-222222-22-22-2-2-22-22-22-22-22-2-222-2000000002-22-22-2-22-220000000000000000000000000000000000000000-222-2000000000-2200002-20000
χ612-22-2-22-12211-2-2-22-22-22-22-1-12-11-1-2211-221-11-1-22-2211-1-1-20000−i3i3−i3i3-11-11-111-11-10000−i3i3000000000000i3−i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000-222-20−i3i30i3−i30001-10000-110000
χ622-22-2-22-12211-2-2-22-22-22-22-1-12-11-1-2211-221-11-1-22-2211-1-1-20000−i3i3−i3i3-11-11-111-11-10000i3−i3000000000000i3−i3−i3i3−i3i3−i3i3i3−i3i3−i300000000002-2-220i3−i30−i3i3000-1100001-10000
χ632-22-2-22-12211-2-2-22-22-22-22-1-12-11-1-2211-221-11-1-22-2211-1-1-20000i3−i3i3−i3-11-11-111-11-10000−i3i3000000000000−i3i3i3−i3i3−i3i3−i3−i3i3−i3i300000000002-2-220−i3i30i3−i3000-1100001-10000
χ642-22-2-22-12211-2-2-22-22-22-22-1-12-11-1-2211-221-11-1-22-2211-1-1-20000i3−i3i3−i3-11-11-111-11-10000i3−i3000000000000−i3i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000-222-20i3−i30−i3i30001-10000-110000
χ654444444-2-244-2-2-2-2-2-2-2-2-2-24-21-244-2-2-2-211-2-2-2-21111-2-2-2-21004400001-2-211111110004000000-2-2-2-2-2-2-2-200000000000011111111000000000000000000000000000
χ664444444-2-244-2-2-2-2-2-2-2-2-2-24-21-244-2-2-2-211-2-2-2-21111-2-2-2-2100-4-400001-2-21111111000-400000022222222000000000000-1-1-1-1-1-1-1-1000000000000000000000000000
χ67444444-24-2-2-24-2-2-2-2-24-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-24400-2-2-2-21-2-21111111040000-2-2-2-200000000-2-2001111111100000000000000000000000000000000000
χ68444444-24-2-2-24-2-2-2-2-24-2-24-21-2-2-2-24411-2-21111-2-2-2-2-2-2-21-2-4-40022221-2-211111110-400002222000000002200-1-1-1-1-1-1-1-100000000000000000000000000000000000
χ69444444-2-24-2-2-244444-244-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-20000000011111111114040-2-200000000000000-2-20000000000000000000000-211-211000000000000000
χ70444444-2-24-2-2-244444-244-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111-2-2000000001111111111-40-4022000000000000002200000000000000000000002-1-12-1-1000000000000000
χ714444-4-44-2-244-2-22222-2-2-2-24-21-2-4-422-2-2112222-1-1-1-1-2-2-2-2100440000122111-1-1-1-1000-4000000-2-2-2-222220000000000001111-1-1-1-1000000000000000000000000000
χ724444-4-44-2-244-2-22222-2-2-2-24-21-2-4-422-2-2112222-1-1-1-1-2-2-2-2100-4-40000122111-1-1-1-100040000002222-2-2-2-2000000000000-1-1-1-11111000000000000000000000000000
χ734444-4-4-24-2-2-24-222224-2-24-21-2-222-4-411-2-2-1-1-1-12222-2-2-21-24400-2-2-2-2122111-1-1-1-10-40000-2-2220000000022001111-1-1-1-100000000000000000000000000000000000
χ744444-4-4-24-2-2-24-222224-2-24-21-2-222-4-411-2-2-1-1-1-12222-2-2-21-2-4-4002222122111-1-1-1-104000022-2-200000000-2-200-1-1-1-1111100000000000000000000000000000000000
χ754444-4-4-2-24-2-2-24-4-4-4-4-244-2-2-2-212222-2-2-2-222222222111-2-2000000001-1-1111-1-1-1-140-40-2-200000000000000220000000000000000000000-2112-1-1000000000000000
χ764444-4-4-2-24-2-2-24-4-4-4-4-244-2-2-2-212222-2-2-2-222222222111-2-2000000001-1-1111-1-1-1-1-40402200000000000000-2-200000000000000000000002-1-1-211000000000000000
χ7744-4-4004-244-4-2400002-4-42-44-2-200004-4-2200000000-222-42004i−4i0000-200-22200000000000000−2i2i4i−4i0000000000000000−2i−2i2i2i0000000000000000000000000000000
χ7844-4-4004-244-4-2400002-4-42-44-2-200004-4-2200000000-222-4200−4i4i0000-200-222000000000000002i−2i−4i4i00000000000000002i2i−2i−2i0000000000000000000000000000000
χ7944-4-4004-2-24-4-2-2−2i3−2i32i32i32222-4-21-20000-221-1−2i3−2i32i32i3i3i3−i3−i3-2222-1004i−4i00001001-1-1i3i3−i3−i30000000000−2i2i−2i2i0023−23000000000000ii−i−i−3−333000000000000000000000000000
χ8044-4-4004-2-24-4-2-2−2i3−2i32i32i32222-4-21-20000-221-1−2i3−2i32i32i3i3i3−i3−i3-2222-100−4i4i00001001-1-1i3i3−i3−i300000000002i−2i2i−2i00−2323000000000000−i−iii33−3−3000000000000000000000000000
χ8144-4-4004-2-24-4-2-22i32i3−2i3−2i32222-4-21-20000-221-12i32i3−2i3−2i3−i3−i3i3i3-2222-1004i−4i00001001-1-1−i3−i3i3i30000000000−2i2i−2i2i00−2323000000000000ii−i−i33−3−3000000000000000000000000000
χ8244-4-4004-2-24-4-2-22i32i3−2i3−2i32222-4-21-20000-221-12i32i3−2i3−2i3−i3−i3i3i3-2222-100−4i4i00001001-1-1−i3−i3i3i300000000002i−2i2i−2i0023−23000000000000−i−iii−3−333000000000000000000000000000
χ8344-4-400-244-22440000-4-4-4-42-24-20000-224-400000000-2222-44i−4i00−2i−2i2i2i-200-22200000000004i−4i00000000000000−2i−2i2i2i000000000000000000000000000000000000000
χ8444-4-400-244-22440000-4-4-4-42-24-20000-224-400000000-2222-4−4i4i002i2i−2i−2i-200-2220000000000−4i4i000000000000002i2i−2i−2i000000000000000000000000000000000000000
χ8544-4-400-24-2-224-2−2i3−2i32i32i3-422-421-2-200001-1-22i3i3−i3−i3−2i3−2i32i32i3-222-124i−4i00−2i−2i2i2i1001-1-1i3i3−i3−i3000000−2i2i23−23000000000000ii−i−i−3−33300000000000000000000000000000000000
χ8644-4-400-24-2-224-2−2i3−2i32i32i3-422-421-2-200001-1-22i3i3−i3−i3−2i3−2i32i32i3-222-12−4i4i002i2i−2i−2i1001-1-1i3i3−i3−i30000002i−2i−2323000000000000−i−iii33−3−300000000000000000000000000000000000
χ8744-4-400-24-2-224-22i32i3−2i3−2i3-422-421-2-200001-1-22−i3−i3i3i32i32i3−2i3−2i3-222-124i−4i00−2i−2i2i2i1001-1-1−i3−i3i3i3000000−2i2i−2323000000000000ii−i−i33−3−300000000000000000000000000000000000
χ8844-4-400-24-2-224-22i32i3−2i3−2i3-422-421-2-200001-1-22−i3−i3i3i32i32i3−2i3−2i3-222-12−4i4i002i2i−2i−2i1001-1-1−i3−i3i3i30000002i−2i23−23000000000000−i−iii−3−33300000000000000000000000000000000000
χ894-44-44-444-2-4-4-42-22-22-4-2244-2-244-44-4222-2-22-22-22-22-4-44-2200000000-24-42-22-22-2200000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-44-24-4-42-44-44-424-4-244-2-24-4-22-4-42-24-44-4-22-2222-24200000000-2-222-22-22-2200000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-44-2-2-4-422-22-222-22-24-21-24-4-2222-11-22-221-11-122-2-2-1000000001-22-11-11-11-10000000000000000000000000000003i−3i3i−3i3i−3i3i−3i000000000000000000000000000
χ924-44-44-44-2-2-4-422-22-222-22-24-21-24-4-2222-11-22-221-11-122-2-2-1000000001-22-11-11-11-1000000000000000000000000000000−3i3i−3i3i−3i3i−3i3i000000000000000000000000000
χ934-44-44-4-24-222-42-22-22-4-224-21-2-2-224-4-1-12-21-11-1-22-2222-2120000−2i32i3−2i32i31-22-11-11-11-1000000000000000000−2i32i300i3−i3i3−i3i3−i3i3−i300000000000000000000000000000000000
χ944-44-44-4-24-222-42-22-22-4-224-21-2-2-224-4-1-12-21-11-1-22-2222-21200002i3−2i32i3−2i31-22-11-11-11-10000000000000000002i3−2i300−i3i3−i3i3−i3i3−i3i300000000000000000000000000000000000
χ954-44-44-4-2-24222-44-44-424-4-2-2-2-21-22-22222-2-22-22-22-22-1-11-220000000011-1-11-11-11-10000−2i32i300000000000000−2i32i300000000000000000000000i3−i30i3−i3000000000000000
χ964-44-44-4-2-24222-44-44-424-4-2-2-2-21-22-22222-2-22-22-22-22-1-11-220000000011-1-11-11-11-100002i3−2i3000000000000002i3−2i300000000000000000000000−i3i30−i3i3000000000000000
χ974-44-4-4444-2-4-4-422-22-2-4-2244-2-24-44-44222-22-22-22-22-2-4-44-2200000000-2-442-222-22-200000000000000000000000000000000000000000000000000000000000000000
χ984-44-4-444-24-4-42-4-44-4424-4-244-2-2-442-2-4-42-2-44-442-22-222-24200000000-22-22-222-22-200000000000000000000000000000000000000000000000000000000000000000
χ994-44-4-444-2-2-4-4222-22-22-22-24-21-2-442-222-112-22-2-11-1122-2-2-10000000012-2-11-1-11-110000000000000000000000000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000
χ1004-44-4-444-2-2-4-4222-22-22-22-24-21-2-442-222-112-22-2-11-1122-2-2-10000000012-2-11-1-11-11000000000000000000000000000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000
χ1014-44-4-44-24-222-422-22-2-4-224-21-2-22-2-44-1-12-2-11-112-22-222-2120000−2i32i3−2i32i312-2-11-1-11-110000000000000000002i3−2i300i3−i3i3−i3−i3i3−i3i300000000000000000000000000000000000
χ1024-44-4-44-24-222-422-22-2-4-224-21-2-22-2-44-1-12-2-11-112-22-222-21200002i3−2i32i3−2i312-2-11-1-11-11000000000000000000−2i32i300−i3i3−i3i3i3−i3i3−i300000000000000000000000000000000000
χ1034-44-4-44-2-24222-4-44-4424-4-2-2-2-212-22-2222-22-22-22-22-2-1-11-22000000001-11-11-1-11-110000−2i32i3000000000000002i3−2i300000000000000000000000i3−i30−i3i3000000000000000
χ1044-44-4-44-2-24222-4-44-4424-4-2-2-2-212-22-2222-22-22-22-22-2-1-11-22000000001-11-11-1-11-1100002i3−2i300000000000000−2i32i300000000000000000000000−i3i30i3−i3000000000000000
χ1054-4-4400444-44-4-400004-44-4-44440000-44-4-400000000-44-4-4400000000400-4-44000000000000000000000000000000000000000000000000000000000000000000000
χ1064-4-440044-2-44-42−2i32i32i3−2i342-2-4-4-2-2400002-222−2i32i32i3−2i3−2i32i32i3−2i3-44-42-200000000-20022-2−2i32i32i3−2i300000000000000000000000000000000000000000000000000000000000000000
χ1074-4-440044-2-44-422i3−2i3−2i32i342-2-4-4-2-2400002-2222i3−2i3−2i32i32i3−2i3−2i32i3-44-42-200000000-20022-22i3−2i3−2i32i300000000000000000000000000000000000000000000000000000000000000000
χ1084-4-44004-24-442-40000-2-442-44-2-20000-4422000000002-22-4-200000000-20022-2000000000000000000−2i32i3000000000000000000−2i32i32i3−2i3000000000000000000000000000
χ1094-4-44004-24-442-40000-2-442-44-2-20000-4422000000002-22-4-200000000-20022-20000000000000000002i3−2i30000000000000000002i3−2i3−2i32i3000000000000000000000000000
χ1104-4-44004-2-2-4422−2i32i32i3−2i3-22-22-4-21-200002-2-1-1−2i32i32i3−2i3i3−i3−i3i32-222100000000100-1-11i3−i3−i3i300000000000000−2i32i300000000000000-333-3i3−i3−i3i3000000000000000000000000000
χ1114-4-44004-2-2-4422−2i32i32i3−2i3-22-22-4-21-200002-2-1-1−2i32i32i3−2i3i3−i3−i3i32-222100000000100-1-11i3−i3−i3i3000000000000002i3−2i3000000000000003-3-33−i3i3i3−i3000000000000000000000000000
χ1124-4-44004-2-2-44222i3−2i3−2i32i3-22-22-4-21-200002-2-1-12i3−2i3−2i32i3−i3i3i3−i32-222100000000100-1-11−i3i3i3−i300000000000000−2i32i3000000000000003-3-33i3−i3−i3i3000000000000000000000000000
χ1134-4-44004-2-2-44222i3−2i3−2i32i3-22-22-4-21-200002-2-1-12i3−2i3−2i32i3−i3i3i3−i32-222100000000100-1-11−i3i3i3−i3000000000000002i3−2i300000000000000-333-3−i3i3i3−i3000000000000000000000000000
χ1144-4-4400-2442-2-4-400004-44-42-24-200002-2-4-4000000002-2224000023−23−2323-20022-20000000000000000000000000023−23−2323000000000000000000000000000000000000000
χ1154-4-4400-2442-2-4-400004-44-42-24-200002-2-4-4000000002-22240000−232323−23-20022-200000000000000000000000000−232323−23000000000000000000000000000000000000000
χ1164-4-4400-24-22-2-42−2i32i32i3−2i342-2-421-2-20000-1122i3−i3−i3i3−2i32i32i3−2i32-22-1-2000023−23−2323100-1-11i3−i3−i3i30000000000000000000000−333−3−3i3i3i−3i00000000000000000000000000000000000
χ1174-4-4400-24-22-2-42−2i32i32i3−2i342-2-421-2-20000-1122i3−i3−i3i3−2i32i32i3−2i32-22-1-20000−232323−23100-1-11i3−i3−i3i300000000000000000000003−3−333i−3i−3i3i00000000000000000000000000000000000
χ1184-4-4400-24-22-2-422i3−2i3−2i32i342-2-421-2-20000-1122−i3i3i3−i32i3−2i3−2i32i32-22-1-2000023−23−2323100-1-11−i3i3i3−i30000000000000000000000−333−33i−3i−3i3i00000000000000000000000000000000000
χ1194-4-4400-24-22-2-422i3−2i3−2i32i342-2-421-2-20000-1122−i3i3i3−i32i3−2i3−2i32i32-22-1-20000−232323−23100-1-11−i3i3i3−i300000000000000000000003−3−33−3i3i3i−3i00000000000000000000000000000000000
χ120888888-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-42222222222222222200000000-122-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000000000000000
χ1218888-8-8-4-4-4-4-4-4-44444-4-4-4-4-422244442222-2-2-2-2-2-2-2-22222200000000-1-2-2-1-1-1111100000000000000000000000000000000000000000000000000000000000000000
χ12288-8-800-4-48-44-4800004-8-844-4-420000-44-44000000002-2-244000000002002-2-2000000000000000000000000000000000000000000000000000000000000000000000
χ12388-8-800-4-4-4-44-4-4−4i3−4i34i34i34444422200002-22-22i32i3−2i3−2i32i32i3−2i3−2i32-2-2-2-200000000-100-111−i3−i3i3i300000000000000000000000000000000000000000000000000000000000000000
χ12488-8-800-4-4-4-44-4-44i34i3−4i3−4i34444422200002-22-2−2i3−2i32i32i3−2i3−2i32i32i32-2-2-2-200000000-100-111i3i3−i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1258-88-88-8-4-4-44444-44-444-44-4-4222-44-44-2-2-222-22-22-22-2-2-222-200000000-12-21-11-11-1100000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-88-4-4-444444-44-44-44-4-42224-44-4-2-2-22-22-22-22-22-2-222-200000000-1-221-111-11-100000000000000000000000000000000000000000000000000000000000000000
χ1278-8-8800-4-484-44-80000-4-8844-4-4200004-44400000000-22-24-400000000200-2-22000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-8800-4-4-44-444−4i34i34i3−4i3-44-4442220000-22-2-22i3−2i3−2i32i32i3−2i3−2i32i3-22-2-2200000000-10011-1−i3i3i3−i300000000000000000000000000000000000000000000000000000000000000000
χ1298-8-8800-4-4-44-4444i3−4i3−4i34i3-44-4442220000-22-2-2−2i32i32i3−2i3−2i32i32i3−2i3-22-2-2200000000-10011-1i3−i3−i3i300000000000000000000000000000000000000000000000000000000000000000

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