Finite Group Databasebeta

← Group #13178708

Character table — Group #13178708

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order12222233366666666623333346666666666666666666666612126666666666666666666666121212121212121212121212222244444412121212224444466666612121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-11-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11-11-1-1-1-1-1-11111-1-1-1-11-1-11
χ5111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-11-1-11
χ6111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-1-111-1
χ7111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111111-1-1-111-1-1-111111111-1-111-1-1-1-1
χ8111111111111111111-111111-11111-1-111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-111-1-1-1-11111-1-1
χ101111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11-1-11-11111-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-1-11-1-111-1-1-1-11111-1-1-11-11
χ121111-1-1111111111111111111-1-1-1-1-111-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111-1-1-1-1-1-11111-1-111-1-11-11-1
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1111111-11-11-1-1-11111-1-1-1-111-1-1-1-11-11-1
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111111-11-11-1111-1-11111-1-1-1-1-1-1-11-11
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1111-1-11-1-1-1-1-111-1-111111111-1-1
χ1722222222-1222-1-1-122222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100220000000000202200000-1-1-1-1000000000-1-10
χ1822222222-1222-1-1-122222-1-1-1-12222222-1-122-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-20000000000-20-2-2000001111000000000110
χ1922222222-1222-1-1-1222-22-1-1-1-1-22222-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-2111111110022000000000020-2-200000-1-1-1-1000000000110
χ2022222222-1222-1-1-1222-22-1-1-1-1-22222-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-21111111100-2-20000000000-2022000001111000000000-1-10
χ212222222-1222-1222-1-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-1000022000000000200202000000-1-1-1-10000-100-1
χ222222222-1222-1222-1-122-12-1-1-1222-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000-2-2000000000-200-20-2000000111100001001
χ232222222-1222-1222-1-12-2-12-1-1-1-222-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-2111111000022000000000-20020-2000000-1-1-1-100001001
χ242222222-1222-1222-1-12-2-12-1-1-1-222-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-21-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-21111110000-2-2000000000200-20200000011110000-100-1
χ25222222-122-1-1222222-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-12200002222-1-1-1-10000020-1-100000000-1-1-1-10000
χ26222222-122-1-1222222-12-1-12-1-12-1-122-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-1-1-1-1-2-20000-2-2-2-2111100000-20110000000011110000
χ27222222-122-1-1222222-1-2-1-12-1-1-2-1-1221122-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-2111122000022-2-2111100000-20-1-100000000-1-1110000
χ28222222-122-1-1222222-1-2-1-12-1-1-2-1-1221122-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-1-1-122-1-1-1-11111-2-21111-2-21111-2-21111-2-20000-2-222-1-1-1-10000020110000000011-1-10000
χ292222-2-222-1222-1-1-122222-1-1-1-1-2-2-2-2-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-21111111100220000000000-202-200000-1-111000000000-110
χ302222-2-222-1222-1-1-122222-1-1-1-1-2-2-2-2-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-21111111100-2-2000000000020-220000011-1-10000000001-10
χ312222-2-222-1222-1-1-1222-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-100220000000000-20-2200000-1-1110000000001-10
χ322222-2-222-1222-1-1-1222-22-1-1-1-12-2-2-2-2-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-100-2-20000000000202-20000011-1-1000000000-110
χ332222-2-22-1222-1222-1-122-12-1-1-1-2-2-21122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-1-2111-2-2111111000022000000000-200-20200000011-1-10000100-1
χ342222-2-22-1222-1222-1-122-12-1-1-1-2-2-21122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-1211-2-2111111-1-122-1-1-1-1-1-1-2111-2-21111110000-2-200000000020020-2000000-1-1110000-1001
χ352222-2-22-1222-1222-1-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-1000022000000000200-20-200000011-1-10000-1001
χ362222-2-22-1222-1222-1-12-2-12-1-1-12-2-211-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1221-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-10000-2-2000000000-200202000000-1-1110000100-1
χ372222-2-2-122-1-1222222-12-1-12-1-1-211-2-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-21111220000-2-2-2-211110000020-1-10000000011-1-10000
χ382222-2-2-122-1-1222222-12-1-12-1-1-211-2-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-111221111-2-21111-1-1-1-122-1-1-1-1-2-21111-2-21111-2-200002222-1-1-1-100000-201100000000-1-1110000
χ392222-2-2-122-1-1222222-1-2-1-12-1-1211-2-211-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-1220000-2-222-1-1-1-100000-20-1-10000000011110000
χ402222-2-2-122-1-1222222-1-2-1-12-1-1211-2-211-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-1-2-21111-2-211111111-2-2111122-1-1-1-122-1-1-1-1-2-2000022-2-2111100000201100000000-1-1-1-10000
χ4122-2-2002222-22-22-2-2-2-20222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-22i−2i002i−2i2i2i−2i−2i0000000002-200002i−2i00000000
χ4222-2-2002222-22-22-2-2-2-20222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-2−2i2i00−2i2i−2i−2i2i2i0000000002-20000−2i2i00000000
χ4322-2-2002222-22-22-2-2-2-20222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-222i−2i00−2i2i−2i−2i2i2i000000000-2200002i−2i00000000
χ4422-2-2002222-22-22-2-2-2-20222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-22−2i2i002i−2i2i2i−2i−2i000000000-220000−2i2i00000000
χ452-2-222-2222-2-2-22-2-22-2202222202-22-2002-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002-200002-200000000000002-2000000002-2000000
χ462-2-222-2222-2-2-22-2-22-2202222202-22-2002-2-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000-220000-220000000000000-2200000000-22000000
χ472-2-222-2-12211-22-2-22-2-10-1-12-1-10-112-2−i3i32-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i32-200002-200−i3i3−i3i30000000-1100000000-11−i3i30000
χ482-2-222-2-12211-22-2-22-2-10-1-12-1-10-112-2−i3i32-21111-2-21111-1-12-1-1−i3i300-11-112-2-1-111−i3i3−i3i300−i3−i3i3i300−i3i3−i3i300−i3−i3i3i3-220000-2200i3−i3i3−i300000001-1000000001-1i3−i30000
χ492-2-222-2-12211-22-2-22-2-10-1-12-1-10-112-2i3−i32-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i32-200002-200i3−i3i3−i30000000-1100000000-11i3−i30000
χ502-2-222-2-12211-22-2-22-2-10-1-12-1-10-112-2i3−i32-21111-2-21111-1-12-1-1i3−i300-11-112-2-1-111i3−i3i3−i300i3i3−i3−i300i3−i3i3−i300i3i3−i3−i3-220000-2200−i3i3−i3i300000001-1000000001-1−i3i30000
χ512-2-22-22222-2-2-22-2-22-220222220-22-2200-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002-20000-2200000000000002-200000000-22000000
χ522-2-22-22222-2-2-22-2-22-220222220-22-2200-22-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000-2200002-20000000000000-22000000002-2000000
χ532-2-22-22-12211-22-2-22-2-10-1-12-1-101-1-22−i3i3-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i32-20000-2200i3−i3i3−i30000000-11000000001-1−i3i30000
χ542-2-22-22-12211-22-2-22-2-10-1-12-1-101-1-22−i3i3-221111-2-21111-1-12-1-1i3−i3001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i300i3−i3i3−i300i3i3−i3−i3-2200002-200−i3i3−i3i300000001-100000000-11i3−i30000
χ552-2-22-22-12211-22-2-22-2-10-1-12-1-101-1-22i3−i3-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i32-20000-2200−i3i3−i3i30000000-11000000001-1i3−i30000
χ562-2-22-22-12211-22-2-22-2-10-1-12-1-101-1-22i3−i3-221111-2-21111-1-12-1-1−i3i3001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i300−i3i3−i3i300−i3−i3i3i3-2200002-200i3−i3i3−i300000001-100000000-11−i3i30000
χ574444444-2-244-2-2-2-2-2-244-2-2111444-2-244-2-2-2-2-2-2111111-2-211144-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-244-2-2-2-2-2-24-4-2-2111-444-2-2-4-4-2-2-2-2-2-2111111-2-2111-4-422-2-2-2-21111112222-1-1-1-1-1-1222222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-2-2-24-2-2-244-24-21-2114-2-244-2-2-2-2-2-211-2-21111-21-211-2-24-2-2-211-2-21111-2-211-2-21111-24-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-2-2-24-2-2-244-2-4-21-211-4-2-24422-2-2-2-211-2-21111-21-21122-42-2-211-2-2111122-1-122-1-1-1-12-422-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-2-2-2444-2-2-241-2-2114-2-2-2-2-2-24411-2-2-2-211111-2-211-2-2-2411-2-2-2-2111111-2-2-2-211114-211-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-2-2-2444-2-2-2-41-2-211-4-2-2-2-2224411-2-2-2-211111-2-211222-411-2-2-2-21111-1-12222-1-1-1-1-42-1-12222-1-1-1-1000000000000000000000000000000000000000
χ63444444-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i324-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ64444444-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i324-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ65444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32-4-2-2-2-222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ66444444-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32-4-2-2-2-222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ674444-4-44-2-244-2-2-2-2-2-244-2-2111-4-4-4224422-2-2-2-2111111-2-2111-4-4-2-22222-1-1-1-1-1-1-2-2-2-2111111222222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-244-2-2-2-2-2-24-4-2-21114-4-422-4-422-2-2-2-2111111-2-211144222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-2-2-24-2-2-244-24-21-211-422-4-4-2-222-2-211-2-21111-21-211224-222-1-122-1-1-1-1-2-211-2-211112-422-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-2-2-24-2-2-244-2-4-21-211422-4-42222-2-211-2-21111-21-211-2-2-4222-1-122-1-1-1-122-1-122-1-1-1-1-24-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-2-2-2444-2-2-241-2-211-42222-2-2-4-411-2-2-2-211111-2-21122-24-1-12222-1-1-1-111-2-2-2-21111-42-1-12222-1-1-1-1000000000000000000000000000000000000000
χ724444-4-4-2-24-2-2-2444-2-2-2-41-2-2114222222-4-411-2-2-2-211111-2-211-2-22-4-1-12222-1-1-1-1-1-12222-1-1-1-14-211-2-2-2-21111000000000000000000000000000000000000000
χ734444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-42222-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i3222-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000
χ744444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1+3i32−1−3i32-42222-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i3222-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000
χ754444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1−3i32−1+3i32422222222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000
χ764444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-4111−1+3i32−1−3i32422222222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000
χ7744-4-40044-24-442-22-4-4-404-2-2-2-20000000004-4-22-22-2-222-42222000000000000000000000000000000000000004-40000000000000000000-2200000000000000
χ7844-4-40044-24-442-22-4-4-404-2-2-2-20000000004-4-22-22-2-222-4222200000000000000000000000000000000000000-4400000000000000000002-200000000000000
χ7944-4-4004-244-4-2-44-422-40-24-2-2-2000000000-224-4-22-2-2222-422200000000000000000000000000000000000000004i−4i00000000000000000000000−2i2i00000000
χ8044-4-4004-244-4-2-44-422-40-24-2-2-2000000000-224-4-22-2-2222-42220000000000000000000000000000000000000000−4i4i000000000000000000000002i−2i00000000
χ8144-4-400-244-224-44-4-4-420-2-24-2-2000000000-22-224-4-2-22222-422000000000000000000000000000000000000000000004i−4i−2i−2i2i2i0000000000000000000000000
χ8244-4-400-244-224-44-4-4-420-2-24-2-2000000000-22-224-4-2-22222-42200000000000000000000000000000000000000000000−4i4i2i2i−2i−2i0000000000000000000000000
χ834-44-400444-44-4-4-44-44-4044444000000000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ844-44-40044-2-44-422-2-44-404-2-2-2-2000000000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000−2i32i3000000000000
χ854-44-40044-2-44-422-2-44-404-2-2-2-2000000000-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000002i3−2i3000000000000
χ864-44-4004-24-442-4-442-2-40-24-2-2-20000000002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ874-44-4004-24-442-4-442-2-40-24-2-2-20000000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ884-44-400-2442-2-4-4-44-4420-2-24-2-20000000002-22-2-4422-2-222-422000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ894-44-400-2442-2-4-4-44-4420-2-24-2-20000000002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ904-4-444-444-2-4-4-4-2224-4404-2-2-2-204-44-400-22-4-4222222224-2-2-2-200004-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ914-4-444-44-24-4-424-4-4-2240-24-2-2-204-4-22004-422-4-4222222-24-2-2-20000-224-4-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ924-4-444-44-2-2-4-42-222-2240-2-211104-4-2200-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-100003-33-3-330000003-33-3-33000000000000000000000000000000000000000
χ934-4-444-44-2-2-4-42-222-2240-2-211104-4-2200-222222-1-1-1-1-1-1-2-21110000-22-221-111-1-10000-33-333-3000000-33-333-3000000000000000000000000000000000000000
χ944-4-444-4-24-222-4-2224-4-20-21-2110-224-4−2i32i3-2222-1-122-1-1-1-1-21-211−2i32i300-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ954-4-444-4-24-222-4-2224-4-20-21-2110-224-42i3−2i3-2222-1-122-1-1-1-1-21-2112i3−2i300-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ964-4-444-4-2-242224-4-4-22-201-2-2110-22-22−2i32i34-4-1-12222-1-1-1-11-2-211−2i32i3001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ974-4-444-4-2-242224-4-4-22-201-2-2110-22-222i3−2i34-4-1-12222-1-1-1-11-2-2112i3−2i3001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ984-4-444-4-2-2-2222-222-22-20111−1−3i32−1+3i320-22-22−2i32i3-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ994-4-444-4-2-2-2222-222-22-20111−1−3i32−1+3i320-22-222i3−2i3-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1004-4-444-4-2-2-2222-222-22-20111−1+3i32−1−3i320-22-22−2i32i3-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1014-4-444-4-2-2-2222-222-22-20111−1+3i32−1−3i320-22-222i3−2i3-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i3001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1024-4-44-4444-2-4-4-4-2224-4404-2-2-2-20-44-44002-2-4-4222222224-2-2-2-20000-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-24-4-424-4-4-2240-24-2-2-20-442-200-4422-4-4222222-24-2-2-200002-2-442-222-2-20000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-2-2-4-42-222-2240-2-21110-442-2002-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-11100003-33-3-33000000-33-333-3000000000000000000000000000000000000000
χ1054-4-44-444-2-2-4-42-222-2240-2-21110-442-2002-22222-1-1-1-1-1-1-2-211100002-22-2-11-1-1110000-33-333-30000003-33-3-33000000000000000000000000000000000000000
χ1064-4-44-44-24-222-4-2224-4-20-21-21102-2-44−2i32i32-222-1-122-1-1-1-1-21-2112i3−2i3002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i3002i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000
χ1074-4-44-44-24-222-4-2224-4-20-21-21102-2-442i3−2i32-222-1-122-1-1-1-1-21-211−2i32i3002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i300−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000
χ1084-4-44-44-2-242224-4-4-22-201-2-21102-22-2−2i32i3-44-1-12222-1-1-1-11-2-2112i3−2i300-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i300−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000
χ1094-4-44-44-2-242224-4-4-22-201-2-21102-22-22i3−2i3-44-1-12222-1-1-1-11-2-211−2i32i300-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i300i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000
χ1104-4-44-44-2-2-2222-222-22-20111−1−3i32−1+3i3202-22-2−2i32i32-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i3200−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1114-4-44-44-2-2-2222-222-22-20111−1−3i32−1+3i3202-22-22i3−2i32-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i3200i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1124-4-44-44-2-2-2222-222-22-20111−1+3i32−1−3i3202-22-2−2i32i32-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i3200−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1134-4-44-44-2-2-2222-222-22-20111−1+3i32−1−3i3202-22-22i3−2i32-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i3200i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ11488-8-8008-4-48-8-44-4444-80-4-4222000000000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-48-4-4484-44-8-840-42-422000000000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800-4-48-44-4-88-844402-4-4220000000002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-4-4-4-44-44-444440222−1−3i3−1+3i30000000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-4-44-44-444440222−1+3i3−1−3i30000000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8008-4-4-88444-44-4-80-4-42220000000004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-48-44-4-844-4-8840-42-4220000000004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-800-4-484-44-8-884-4402-4-422000000000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800-4-4-44-4444-44-440222−1−3i3−1+3i3000000000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-4-4-44-4444-44-440222−1+3i3−1−3i3000000000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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