Finite Group Databasebeta

← Group #13172090

Character table — Group #13172090

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444466668888888888889999121212121212121212121212121212121212121212121212121212121818181818182424242424242424242424243636363636365454545472727272
order1222223336666666663336666666666666666666444436666666666644442444661212121212121212121212121212121212121212121244121212126661212121212121212122444121244446121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-11-1-111111-1-111111111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-11-1-11-1-1-1-1-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-111-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111111111-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-111-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1111111-1-1
χ91111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-111111-11-111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-11111111-11-1-1-111-1-11-11-1-1-111-1-11-11-1
χ101111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-11111-11-11-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-11-1111-1-111-11-11-1-111-1-1-11-11
χ111111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-111-1-1111-1-11
χ121111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1111111-1-1-1-111-1-1-1-1-1-1-111-11111-1-1-1-11111-1-111-111-1
χ131111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-111111-11-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-11111111-11-1-1-111-1-1-11-11-1-1-1-111-11-11
χ141111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-11111-11-11-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-11-1111-1-1111-11-1-1-1-1-1111-11-1
χ151111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-1111-1-11-1-1-1-111-1-1111111-1-1-111-1
χ161111-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-111-1-11111-1-11-1-11
χ1722222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-100002002222200-1-1-1-1222200-1-1-1-1-1-1-1-1000000-1-1-1-100-1-100002002000000-1-100
χ1822222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-12222-122-1-1-1-1-1-1-1-1-10000-200-2-2-2-2-200-1-1-1-1222200-1-1-1-1-1-1-1-1000000111100110000-200-20000001100
χ1922222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-1000020022222001111-2-2-2-20011111111000000-1-1-1-100-1-10000-200-20000001100
χ2022222222-12-122-12-1222-1-12222-1-12-1-1-1-1-1-1-1-122-1-1-2-2-2-2-122-1-1-1-1-1-1-1-1-10000-200-2-2-2-2-2001111-2-2-2-200111111110000001111001100002002000000-1-100
χ212222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-100000000-1-10000000022-1-1-1-12-1-1222-1-1-1-1-1-10000-1-100000000
χ222222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111100000000110000000022-1-1-1-1-211-2-2-21111110000-1-100000000
χ232222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-2-22-1-1-1-111000000001100000000-2-211112-1-12-2-2-1-1111100001100000000
χ242222222-1222-1-12222-1-12-122-1-122-1222222-1-1-1-1-120000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-21111-1-100000000-1-100000000-2-21111-211-22211-1-1-1-100001100000000
χ25222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-1000002200000222222-1-1-1-122-1-1-1-1-1-1-1-10000000000-1-100-1-1-1-1022000000000-1-1
χ26222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-12222-1-1-122-1-1-1-1-1-1-100000-2-200000-2-22222-1-1-1-1-2-2-1-1-1-1-1-1-1-10000000000110011110-2-200000000011
χ27222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100000220000022-2-2-2-2111122111111110000000000-1-100-1-1-1-10-2-200000000011
χ28222222-122-12222-12-12-1-12-1-12222-1-1-1-1-1-1-122-1-12-1-2-2-2-2-1-1-122-1-1-1-1-1-1-100000-2-200000-2-2-2-2-2-21111-2-211111111000000000011001111022000000000-1-1
χ292222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-1-2-211-1-1-111110000200-222-2-200-1-11122-2-200-1-1-1-11111000000-1-1-1100110000200-2000000-1100
χ302222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-122-2-2-1-2-211-1-1-111110000-2002-2-22200-1-11122-2-200-1-1-1-11111000000111-100-1-10000-20020000001-100
χ312222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-222-1-2-211-1-1-111110000200-222-2-20011-1-1-2-222001111-1-1-1-1000000-1-1-1100110000-20020000001-100
χ322222-2-222-12-122-12-1222-1-1-2-2-2-2112-1-11111-1-122-1-1-2-222-1-2-211-1-1-111110000-2002-2-2220011-1-1-2-222001111-1-1-1-1000000111-100-1-10000200-2000000-1100
χ332222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-1111122222-22-2-1-1111100000000-1-100000000-2-2-1-1-1-12-1-1-22-211-1-11100001100000000
χ342222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-111112222-22-2211-1-1-1-1000000001100000000-2-2-1-1-1-1-2112-22-1-111-1-100001100000000
χ352222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-222-2-2-1-111-1-10000000011000000002211112-1-1-2-221111-1-10000-1-100000000
χ362222-2-22-1222-1-12222-1-12-1-2-211-2-2-122-2-2-2-2-1-1-1-1-120000-11111-1-1-11111-2-2-2-2-2-22211-1-11100000000-1-100000000221111-21122-2-1-1-1-1110000-1-100000000
χ372222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-11111000002-2000002222-2-2-1-111-2-2-1-1-1-1111100000000001-10011-1-102-20000000001-1
χ382222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-122-2-2-111-2-2-1-1-1111100000-2200000-2-222-2-2-1-11122-1-1-1-111110000000000-1100-1-1110-22000000000-11
χ392222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-11111000002-20000022-2-22211-1-1-2-21111-1-1-1-100000000001-10011-1-10-22000000000-11
χ402222-2-2-122-12222-12-12-1-1211-2-2-2-2-1-1-1111122-1-12-1-2-222-111-2-2-1-1-1111100000-2200000-2-2-2-22211-1-1221111-1-1-1-10000000000-1100-1-11102-20000000001-1
χ4122-2-200222-2-22-22-2-22-2222000000-2-2-200002-22-2-222-200200002-2-200002i2i−2i−2i00000000002-2002-2000022-2-20000002i2i−2i−2i0000000000000000002i−2i000000
χ4222-2-200222-2-22-22-2-22-2222000000-2-2-200002-22-2-222-200200002-2-20000−2i−2i2i2i00000000002-2002-2000022-2-2000000−2i−2i2i2i000000000000000000−2i2i000000
χ4322-2-200222-2-22-22-2-22-2222000000-2-2-200002-22-2-22-2200200002-2-200002i2i−2i−2i0000000000-2200-220000-2-2220000002i2i−2i−2i000000000000000000−2i2i000000
χ4422-2-200222-2-22-22-2-22-2222000000-2-2-200002-22-2-22-2200200002-2-20000−2i−2i2i2i0000000000-2200-220000-2-222000000−2i−2i2i2i0000000000000000002i−2i000000
χ452-22-200222-22-2-2-22-2-22222000000-22-20000-22-22-2-2002i−2i20000-22-200002-22-20000000000002i−2i002i−2i0000002i2i−2i−2i002-22-2000000000000000000002i−2i0000
χ462-22-200222-22-2-2-22-2-22222000000-22-20000-22-22-2-2002i−2i20000-22-20000-22-220000000000002i−2i002i−2i0000002i2i−2i−2i00-22-2200000000000000000000−2i2i0000
χ472-22-200222-22-2-2-22-2-22222000000-22-20000-22-22-2-200−2i2i20000-22-200002-22-2000000000000−2i2i00−2i2i000000−2i−2i2i2i002-22-200000000000000000000−2i2i0000
χ482-22-200222-22-2-2-22-2-22222000000-22-20000-22-22-2-200−2i2i20000-22-20000-22-22000000000000−2i2i00−2i2i000000−2i−2i2i2i00-22-22000000000000000000002i−2i0000
χ492-2-222-22222-2-22-2-22-2-22222-22-22-22-2222-2-2-2-2-2-22-2000022-22-2-2-2222-2-22i−2i−2i2i00000000000000000000000000002i−2i2i−2i−2i2i00000000000000002i−2i00000000
χ502-2-222-22222-2-22-2-22-2-22222-22-22-22-2222-2-2-2-2-2-22-2000022-22-2-2-2222-2-2−2i2i2i−2i0000000000000000000000000000−2i2i−2i2i2i−2i0000000000000000−2i2i00000000
χ512-2-222-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-1111-1-1-1112i−2i−2i2i0000−i3i3−i3i33−3000000003−3000000002i−2i−iii−i0−i3i3000−i3i33−33−30000−ii00000000
χ522-2-222-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-1111-1-1-1112i−2i−2i2i0000i3−i3i3−i3−3300000000−33000000002i−2i−iii−i0i3−i3000i3−i3−33−330000−ii00000000
χ532-2-222-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-1111-1-1-111−2i2i2i−2i0000−i3i3−i3i3−3300000000−3300000000−2i2ii−i−ii0−i3i3000−i3i3−33−330000i−i00000000
χ542-2-222-22-122-21-1-2-22-21-12-12-2-112-2-1-2222-2-21111-1-20000-1-11-1111-1-1-111−2i2i2i−2i0000i3−i3i3−i33−3000000003−300000000−2i2ii−i−ii0i3−i3000i3−i33−33−30000i−i00000000
χ552-2-22-222222-2-22-2-22-2-2222-22-22-222-22-2-222-2-2-2-22-200002-22-22-2-22-2-2222i−2i−2i2i0000000000000000000000000000−2i2i2i−2i−2i2i0000000000000000−2i2i00000000
χ562-2-22-222222-2-22-2-22-2-2222-22-22-222-22-2-222-2-2-2-22-200002-22-22-2-22-2-222−2i2i2i−2i00000000000000000000000000002i−2i−2i2i2i−2i00000000000000002i−2i00000000
χ572-2-22-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-111-111-1-12i−2i−2i2i0000−i3i3i3−i3−33000000003−300000000−2i2i−iii−i0−i3i3000i3−i33−3−330000i−i00000000
χ582-2-22-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-111-111-1-12i−2i−2i2i0000i3−i3−i3i33−300000000−3300000000−2i2i−iii−i0i3−i3000−i3i3−333−30000i−i00000000
χ592-2-22-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-111-111-1-1−2i2i2i−2i0000−i3i3i3−i33−300000000−33000000002i−2ii−i−ii0−i3i3000i3−i3−333−30000−ii00000000
χ602-2-22-222-122-21-1-2-22-21-12-1-221-1-22-1-22-2-2221111-1-20000-11-11-111-111-1-1−2i2i2i−2i0000i3−i3−i3i3−33000000003−3000000002i−2ii−i−ii0i3−i3000−i3i33−3−330000−ii00000000
χ614444444-2-24-2-2-2-24-24-2-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200001-2-211111111100004004-2-2-2-200000000000000000000000000-211-20011000000000000000000
χ624444444-2-24-2-2-2-24-24-2-2-2144-2-2-2-2-2-2-2-2-2-2-211-2-21-200001-2-21111111110000-400-42222000000000000000000000000002-1-1200-1-1000000000000000000
χ63444444-24-2-2-244-2-2-2-24-21-2-2-244-2-2-2111111-2-2-2-2-2144441-2-2-2-2111111100000000000000-2-2-2-2-2-2-2-2001111111100000000000000000000000000000000
χ64444444-24-2-2-244-2-2-2-24-21-2-2-244-2-2-2111111-2-2-2-2-21-4-4-4-41-2-2-2-21111111000000000000002222222200-1-1-1-1-1-1-1-100000000000000000000000000000000
χ65444444-2-24-24-2-24-24-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-20000111-2-21111111000004400000-2-200000000-2-2000000000000000000-2-200111100000000000000
χ66444444-2-24-24-2-24-24-2-21-2-2-2-2-2-2441-2-2-2-2-2-2-2-211-2-20000111-2-2111111100000-4-4000002200000000220000000000000000002200-1-1-1-100000000000000
χ674444-4-44-2-24-2-2-2-24-24-2-2-21-4-42222-2-2-2222211-2-21-20000122-1-1111-1-1-1-10000400-4-2-22200000000000000000000000000-211200-1-1000000000000000000
χ684444-4-44-2-24-2-2-2-24-24-2-2-21-4-42222-2-2-2222211-2-21-20000122-1-1111-1-1-1-10000-400422-2-2000000000000000000000000002-1-1-20011000000000000000000
χ694444-4-4-24-2-2-244-2-2-2-24-21-222-4-422-211-1-1-1-1-2-2-2-2-2144-4-412222111-1-1-1-100000000000000-2-222-2-222001111-1-1-1-100000000000000000000000000000000
χ704444-4-4-24-2-2-244-2-2-2-24-21-222-4-422-211-1-1-1-1-2-2-2-2-21-4-44412222111-1-1-1-10000000000000022-2-222-2-200-1-1-1-1111100000000000000000000000000000000
χ714444-4-4-2-24-24-2-24-24-2-21-2-22222-4-41-2-22222-2-211-2-200001-1-122111-1-1-1-1000004-400000-2-200000000220000000000000000002-200-1-11100000000000000
χ724444-4-4-2-24-24-2-24-24-2-21-2-22222-4-41-2-22222-2-211-2-200001-1-122111-1-1-1-100000-44000002200000000-2-2000000000000000000-220011-1-100000000000000
χ7344-4-40044-2-424-4-2-424-44-2-2000000-4220000-224-42-24-400-20000-222000000000000000000-22004-40000-2-222000000000000000000000000000000000000
χ7444-4-40044-2-424-4-2-424-44-2-2000000-4220000-224-42-2-4400-20000-2220000000000000000002-200-44000022-2-2000000000000000000000000000000000000
χ7544-4-4004-24-4-4-224-4-442-24-20000002-4-40000-22-22240000-20000-22200004i4i−4i−4i000000000000000000000000000000−2i−2i2i2i00000000000000000000000000
χ7644-4-4004-24-4-4-224-4-442-24-20000002-4-40000-22-22240000-20000-2220000−4i−4i4i4i0000000000000000000000000000002i2i−2i−2i00000000000000000000000000
χ7744-4-400-2442-44-442-4-2-4-2-2400000022200004-4-22-4-24-400-20000-2220000000000000000004-400-220000-2-222000000000000000000000000000000000000
χ7844-4-400-2442-44-442-4-2-4-2-2400000022200004-4-22-4-2-4400-20000-222000000000000000000-44002-2000022-2-2000000000000000000000000000000000000
χ7944-4-400-24-2224-4-222-2-4-21-20000002-1-13-33-3-22-22214-400100001-1-13-33-300000000000000-2200-22000011-1-13-33-300000000000000000000000000000000
χ8044-4-400-24-2224-4-222-2-4-21-20000002-1-13-33-3-22-2221-4400100001-1-13-33-3000000000000002-2002-20000-1-111-33-3300000000000000000000000000000000
χ8144-4-400-24-2224-4-222-2-4-21-20000002-1-1-33-33-22-22214-400100001-1-1-33-3300000000000000-2200-22000011-1-1-33-3300000000000000000000000000000000
χ8244-4-400-24-2224-4-222-2-4-21-20000002-1-1-33-33-22-2221-4400100001-1-1-33-33000000000000002-2002-20000-1-1113-33-300000000000000000000000000000000
χ834-44-40044-2-4-2-4-4242-444-2-2000000-4-2200002-2-4422004i−4i-200002-2200000000000000000000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000
χ844-44-40044-2-4-2-4-4242-444-2-2000000-4-2200002-2-442200−4i4i-200002-22000000000000000000002i−2i00−4i4i0000002i2i−2i−2i00000000000000000000000000000000
χ854-44-4004-24-4422-44-4-4-2-24-200000024-400002-22-22-40000-200002-2200004-44-4000000000000000000000000000000-22-2200000000000000000000000000
χ864-44-4004-24-4422-44-4-4-2-24-200000024-400002-22-22-40000-200002-220000-44-440000000000000000000000000000002-22-200000000000000000000000000
χ874-44-400-24424-4-4-4-2-424-2-240000002-220000-442-2-42004i−4i-200002-22000000000000000000004i−4i00−2i2i000000−2i−2i2i2i00000000000000000000000000000000
χ884-44-400-24424-4-4-4-2-424-2-240000002-220000-442-2-4200−4i4i-200002-2200000000000000000000−4i4i002i−2i0000002i2i−2i−2i00000000000000000000000000000000
χ894-44-400-24-22-2-4-42-2224-21-200000021-13-3-332-22-22-1004i−4i10000-11-13-3-330000000000000000−2i2i00−2i2i003i−3i3i−3iii−i−i00000000000000000000000000000000
χ904-44-400-24-22-2-4-42-2224-21-200000021-13-3-332-22-22-100−4i4i10000-11-13-3-3300000000000000002i−2i002i−2i00−3i3i−3i3i−i−iii00000000000000000000000000000000
χ914-44-400-24-22-2-4-42-2224-21-200000021-1-333-32-22-22-1004i−4i10000-11-1-333-30000000000000000−2i2i00−2i2i00−3i3i−3i3iii−i−i00000000000000000000000000000000
χ924-44-400-24-22-2-4-42-2224-21-200000021-1-333-32-22-22-100−4i4i10000-11-1-333-300000000000000002i−2i002i−2i003i−3i3i−3i−i−iii00000000000000000000000000000000
χ934-4-444-444-242-442-4-2-4-44-2-24-44-4-2242-2-2-22222-4-4-220000-24-4-2222-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ944-4-444-44-2-2422-22-4-2-42-2-214-4-22-22-22-2-2-222-1-1221200001-221-1-1-1111-1-100000000−2i32i3−2i32i3000000000000000000000000000i3−i3000i3−i3000000000000000000
χ954-4-444-44-2-2422-22-4-2-42-2-214-4-22-22-22-2-2-222-1-1221200001-221-1-1-1111-1-1000000002i3−2i32i3−2i3000000000000000000000000000−i3i3000−i3i3000000000000000000
χ964-4-444-4-244-2-4-44-4242-4-2-24-224-44-4-22-2-2-222-4-422420000-2-224-422-2-2-2220000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-24-2-22-4422-22-4-21-2-224-4-22-2-1111-1-12222-2-100001-22-22-1-1111-1-10000000000000000000000003i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000
χ984-4-444-4-24-2-22-4422-22-4-21-2-224-4-22-2-1111-1-12222-2-100001-22-22-1-1111-1-1000000000000000000000000−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000
χ994-4-444-4-2-24-2-42-2-424221-2-2-22-224-412-2-2-22222-1-1-22000011-1-22-1-1111-1-100000000000023−230000000023−230000000000000000000000−33−3300000000000000
χ1004-4-444-4-2-24-2-42-2-424221-2-2-22-224-412-2-2-22222-1-1-22000011-1-22-1-1111-1-1000000000000−232300000000−232300000000000000000000003−33−300000000000000
χ1014-4-44-4444-242-442-4-2-4-44-2-2-44-442-242-222-2-222-4-4-220000-2-442-222-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-2-2422-22-4-2-42-2-21-442-22-2-22-222-2-2-1-12212000012-2-11-1-11-1-11100000000−2i32i32i3−2i3000000000000000000000000000i3−i3000−i3i3000000000000000000
χ1034-4-44-444-2-2422-22-4-2-42-2-21-442-22-2-22-222-2-2-1-12212000012-2-11-1-11-1-111000000002i3−2i3−2i32i3000000000000000000000000000−i3i3000i3−i3000000000000000000
χ1044-4-44-44-244-2-4-44-4242-4-2-242-2-44-44-22-222-2-2-4-422420000-22-2-4422-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1054-4-44-44-24-2-22-4422-22-4-21-22-2-442-2-2-11-1-1112222-2-1000012-22-2-1-11-1-1110000000000000000000000003i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000
χ1064-4-44-44-24-2-22-4422-22-4-21-22-2-442-2-2-11-1-1112222-2-1000012-22-2-1-11-1-111000000000000000000000000−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000
χ1074-4-44-44-2-24-2-42-2-424221-2-22-22-2-4412-222-2-222-1-1-2200001-112-2-1-11-1-11100000000000023−2300000000−232300000000000000000000003−3−3300000000000000
χ1084-4-44-44-2-24-2-42-2-424221-2-22-22-2-4412-222-2-222-1-1-2200001-112-2-1-11-1-111000000000000−23230000000023−230000000000000000000000−333−300000000000000
χ109888888-4-4-4-4-4-4-4-4-4-4-4-4222-4-4-4-4-4-422222222222220000-12222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000000000000
χ1108888-8-8-4-4-4-4-4-4-4-4-4-4-4-4222444444222-2-2-2-22222220000-1-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000000000000
χ11188-8-8008-4-4-84-44-4-8484-4-4200000044400002-2-44-2-40000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-800-4-484-8-4484-8-442-4-4000000-2440000-442-24-40000200002-2-200000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-800-4-4-444-44-444-44222000000-2-2-26-66-62-22-2-220000-10000-111-33-330000000000000000000000000000000000000000000000000000000000000000
χ11488-8-800-4-4-444-44-444-44222000000-2-2-2-66-662-22-2-220000-10000-1113-33-30000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8008-4-4-8-444484-8-4-4-420000004-440000-224-4-24000020000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-800-4-484844-8-4-84-42-4-4000000-2-4400004-4-2244000020000-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-800-4-4-44-4444-444-4222000000-22-26-6-66-22-22-2-20000-100001-11-333-30000000000000000000000000000000000000000000000000000000000000000
χ1188-88-800-4-4-44-4444-444-4222000000-22-2-666-6-22-22-2-20000-100001-113-3-330000000000000000000000000000000000000000000000000000000000000000
χ1198-8-888-8-4-4-4-444-444-444222-44-44-442-2222-2-2-2-2-2-22-20000-12-22-211-1-1-1110000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-88-4-4-4-444-444-4442224-44-44-42-22-2-222-2-2-2-22-20000-1-22-2211-111-1-10000000000000000000000000000000000000000000000000000000000000000

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