Finite Group Databasebeta

← Group #13178631

Character table — Group #13178631

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181818181818181836363636363636363636363636363636363636363672727272
order122222333666666666233333466666666666666666666666121266666666666666666666661212121212121212121212122244444444121212122444444661212121212121212121212126121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-11111-1-1-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-11-1-1-11111-1-1-1-1-1-1-1-11-1-11
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-11-11-1-11-1-1-1-1-1-11111-1-1-1-1-111-1
χ5111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1111111-1-1-1-111-1-1-111-1
χ6111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-11-1-11
χ7111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-11-11-11-1-111111111-1-111-1-1-1-1
χ8111111111111111111-111111-1111111-1-1111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-111-111111-1-111-1-1-1-11111-1-1
χ101111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-111-111-111-1-111-1-111-1-111-1-111
χ111111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-111-1-1-1-11111-1-11-11-1
χ121111-1-1111111111111111111-1-1-1-1-1-1-111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-111-1-1-1-11111-1-111-1-1-11-11
χ131111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111111111-1-1-11-11-11111-1-1-1-111-1-1-1-1-11-11
χ141111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111111-1-1-1111-1-11111-1-1-1-1-1-11-11-1
χ151111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-11-1-1111-1-111-1-111-1-11111-1-111
χ161111-1-1111111111111-1111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11-1111-1-1-1-1-1-111-1-111111111-1-1
χ1722222222-122-122-1-12222-1-1-1-122222-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100220000000000202002000-1-1-1-100000000-100-1
χ1822222222-122-122-1-12222-1-1-1-122222-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-20000000000-20-200-20001111000000001001
χ1922222222-122-122-1-122-22-1-1-1-1-22222-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-21111111100220000000000-20200-2000-1-1-1-1000000001001
χ2022222222-122-122-1-122-22-1-1-1-1-22222-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2122-1-1-1-1-1-1-1-1-2-2111111111-2-2-21111111100-2-2000000000020-2002000111100000000-100-1
χ212222222-12-1-1222222-12-12-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-12200222200-1-1-1-10000200-1-100000000-1-1-1-10000
χ222222222-12-1-1222222-12-12-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-12-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-200-2-2-2-20011110000-200110000000011110000
χ232222222-12-1-1222222-1-2-12-1-1-1-222-1-12211-1-122-1-1-1-1-1-1-12-1-1-111-2-2-1-122-1-1-1-1-1-111-2-2111111-2-211-2-2111111220022-2-20011110000-200-1-100000000-1-1110000
χ242222222-12-1-1222222-1-2-12-1-1-1-222-1-12211-1-122-1-1-1-1-1-1-12-1-1-111-2-2-1-122-1-1-1-1-1-111-2-2111111-2-211-2-2111111-2-200-2-22200-1-1-1-10000200110000000011-1-10000
χ25222222-122222-1-122-122-1-12-1-12-1-1222222-1-1-1-122-1-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-1000000002200000202002000000-1-1-1-100000-1-10
χ26222222-122222-1-122-122-1-12-1-12-1-1222222-1-1-1-122-1-1-1-1-1-12-1-122-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-100000000-2-200000-20-200-2000000111100000110
χ27222222-122222-1-122-12-2-1-12-1-1-2-1-12222-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-21-2-1-1-1-122-1-1-1-11111-2-21111-211111-2-21111000000002200000-20-2002000000-1-1-1-100000110
χ28222222-122222-1-122-12-2-1-12-1-1-2-1-12222-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-21-2-1-1-1-122-1-1-1-11111-2-21111-211111-2-2111100000000-2-20000020200-2000000111100000-1-10
χ292222-2-222-122-122-1-12222-1-1-1-1-2-2-2-2-2112222-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-2111111110022000000000020-200-2000-1-11100000000-1001
χ302222-2-222-122-122-1-12222-1-1-1-1-2-2-2-2-2112222-1-1-1-1-1-1-1-12-1-1-1-1-2-22-1-2-21111111122-1-1-1-1-1-1-1-11-2-2-21111111100-2-20000000000-20200200011-1-100000000100-1
χ312222-2-222-122-122-1-122-22-1-1-1-12-2-2-2-211-2-222-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-100220000000000-20-2002000-1-11100000000100-1
χ322222-2-222-122-122-1-122-22-1-1-1-12-2-2-2-211-2-222-1-1-1-1-1-1-1-12-1-1-1-122-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-100-2-2000000000020200-200011-1-100000000-1001
χ332222-2-22-12-1-1222222-12-12-1-1-1-2-2-211-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1112211-2-2111111-1-122-1-1-1-1-1-1-2-211-2-21111112200-2-2-2-20011110000200-1-10000000011-1-10000
χ342222-2-22-12-1-1222222-12-12-1-1-1-2-2-211-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1112211-2-2111111-1-122-1-1-1-1-1-1-2-211-2-2111111-2-200222200-1-1-1-10000-2001100000000-1-1110000
χ352222-2-22-12-1-1222222-1-2-12-1-1-12-2-211-2-211-1-122-1-1-1-1-1-1-12-1-1-1-1-1-2-211-2-211111111-2-211111122-1-122-1-1-1-1-1-12200-2-22200-1-1-1-10000-200-1-10000000011110000
χ362222-2-22-12-1-1222222-1-2-12-1-1-12-2-211-2-211-1-122-1-1-1-1-1-1-12-1-1-1-1-1-2-211-2-211111111-2-211111122-1-122-1-1-1-1-1-1-2-20022-2-200111100002001100000000-1-1-1-10000
χ372222-2-2-122222-1-122-122-1-12-1-1-211-2-2-2-222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-121111-2-21111-1-1-1-122-1-1-1-1-211111-2-2111100000000220000020-200-200000011-1-1000001-10
χ382222-2-2-122222-1-122-122-1-12-1-1-211-2-2-2-222-1-1-1-122-1-1-1-1-1-12-1-1-2-2-121111-2-21111-1-1-1-122-1-1-1-1-211111-2-2111100000000-2-200000-202002000000-1-11100000-110
χ392222-2-2-122222-1-122-12-2-1-12-1-1211-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-1000000002200000-20200-200000011-1-100000-110
χ402222-2-2-122222-1-122-12-2-1-12-1-1211-2-2-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-100000000-2-20000020-2002000000-1-111000001-10
χ412-22-2002222-2-22-2-22-2-20222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-2002i−2i2i−2i2i2i−2i−2i0000000002-200002i−2i00000000
χ422-22-2002222-2-22-2-22-2-20222220000000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-200−2i2i−2i2i−2i−2i2i2i0000000002-20000−2i2i00000000
χ432-22-2002222-2-22-2-22-2-20222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-22002i−2i−2i2i2i2i−2i−2i000000000-220000−2i2i00000000
χ442-22-2002222-2-22-2-22-2-20222220000000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-2200−2i2i2i−2i−2i−2i2i2i000000000-2200002i−2i00000000
χ452-2-222-2222-2-2-2-2-22-22202222202-22-22-200-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-200000000000000000000002-2002-20000000000000002-2000000002-2000000
χ462-2-222-2222-2-2-2-2-22-22202222202-22-22-200-2-2-2-2-2-2-2-2-2-22222200002-22-22-222-2-20000000000000000000000-2200-22000000000000000-2200000000-22000000
χ472-2-222-22-1211-2-2-22-22-10-12-1-1-102-2-112-2−i3i311-2-2111111-12-1-1-1−i3i300-112-2-11-1-111−i3i300−i3i3−i3−i3i3i300−i3i300−i3i3−i3−i3i3i32-2002-20000−i3i3−i3i30000000-1100000000-11−i3i30000
χ482-2-222-22-1211-2-2-22-22-10-12-1-1-102-2-112-2−i3i311-2-2111111-12-1-1-1−i3i300-112-2-11-1-111−i3i300−i3i3−i3−i3i3i300−i3i300−i3i3−i3−i3i3i3-2200-220000i3−i3i3−i300000001-1000000001-1i3−i30000
χ492-2-222-22-1211-2-2-22-22-10-12-1-1-102-2-112-2i3−i311-2-2111111-12-1-1-1i3−i300-112-2-11-1-111i3−i300i3−i3i3i3−i3−i300i3−i300i3−i3i3i3−i3−i32-2002-20000i3−i3i3−i30000000-1100000000-11i3−i30000
χ502-2-222-22-1211-2-2-22-22-10-12-1-1-102-2-112-2i3−i311-2-2111111-12-1-1-1i3−i300-112-2-11-1-111i3−i300i3−i3i3i3−i3−i300i3−i300i3−i3i3i3−i3−i3-2200-220000−i3i3−i3i300000001-1000000001-1−i3i30000
χ512-2-22-22222-2-2-2-2-22-2220222220-22-22-2200-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-22200000000000000000000002-200-220000000000000002-200000000-22000000
χ522-2-22-22222-2-2-2-2-22-2220222220-22-22-2200-2-2-2-2-2-2-2-2-2-2222220000-22-22-22-2-2220000000000000000000000-22002-2000000000000000-22000000002-2000000
χ532-2-22-222-1211-2-2-22-22-10-12-1-1-10-221-1-22−i3i311-2-2111111-12-1-1-1i3−i3001-1-221-111-1-1−i3i300−i3i3−i3−i3i3i300i3−i300i3−i3i3i3−i3−i32-200-220000i3−i3i3−i30000000-11000000001-1−i3i30000
χ542-2-22-222-1211-2-2-22-22-10-12-1-1-10-221-1-22−i3i311-2-2111111-12-1-1-1i3−i3001-1-221-111-1-1−i3i300−i3i3−i3−i3i3i300i3−i300i3−i3i3i3−i3−i3-22002-20000−i3i3−i3i300000001-100000000-11i3−i30000
χ552-2-22-222-1211-2-2-22-22-10-12-1-1-10-221-1-22i3−i311-2-2111111-12-1-1-1−i3i3001-1-221-111-1-1i3−i300i3−i3i3i3−i3−i300−i3i300−i3i3−i3−i3i3i32-200-220000−i3i3−i3i30000000-11000000001-1i3−i30000
χ562-2-22-222-1211-2-2-22-22-10-12-1-1-10-221-1-22i3−i311-2-2111111-12-1-1-1−i3i3001-1-221-111-1-1i3−i300i3−i3i3i3−i3−i300−i3i300−i3i3−i3−i3i3i3-22002-20000i3−i3i3−i300000001-100000000-11−i3i30000
χ574444444-2-2-2-2-244-2-24-24-2-2111444-2-2-2-2-2-2-2-2-2-2111111-2-2111-2-24-2-2-2-2-2111111-2-2-2-2111111-24-2-2-2-2111111000000000000000000000000000000000000000
χ584444444-2-2-2-2-244-2-24-2-4-2-2111-444-2-2-2-222-2-2-2-2111111-2-211122-42-2-2-2-21111112222-1-1-1-1-1-12-42222-1-1-1-1-1-1000000000000000000000000000000000000000
χ59444444-24-244-2-2-2-2-2-244-21-2114-2-244-2-244-2-211-2-21111-21-21144-2-2-2-211-2-21111-2-211-2-21111-2-2-2-211-2-21111000000000000000000000000000000000000000
χ60444444-24-244-2-2-2-2-2-24-4-21-211-4-2-244-2-2-4-4-2-211-2-21111-21-211-4-422-2-211-2-2111122-1-122-1-1-1-12222-1-122-1-1-1-1000000000000000000000000000000000000000
χ61444444-2-24-2-24-2-244-2-241-2-2114-2-2-2-244-2-211-2-2-2-211111-2-211-2-2-2411-2-2-2-2111111-2-2-2-211114-211-2-2-2-21111000000000000000000000000000000000000000
χ62444444-2-24-2-24-2-244-2-2-41-2-211-4-2-2-2-2442211-2-2-2-211111-2-211222-411-2-2-2-21111-1-12222-1-1-1-1-42-1-12222-1-1-1-1000000000000000000000000000000000000000
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+3i32-4-2-2-2-2-2-222111111−1−3i32−1+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+3i32−1−3i32-4-2-2-2-2-2-222111111−1+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
χ674444-4-44-2-2-2-2-244-2-24-24-2-2111-4-4-42222-2-2-2-2-2-2111111-2-2111224-22222-1-1-1-1-1-1-2-2-2-21111112-42222-1-1-1-1-1-1000000000000000000000000000000000000000
χ684444-4-44-2-2-2-2-244-2-24-2-4-2-21114-4-4222222-2-2-2-2111111-2-2111-2-2-422222-1-1-1-1-1-12222-1-1-1-1-1-1-24-2-2-2-2111111000000000000000000000000000000000000000
χ694444-4-4-24-244-2-2-2-2-2-244-21-211-422-4-42244-2-211-2-21111-21-211-4-4-2-222-1-122-1-1-1-1-2-211-2-211112222-1-122-1-1-1-1000000000000000000000000000000000000000
χ704444-4-4-24-244-2-2-2-2-2-24-4-21-211422-4-422-4-4-2-211-2-21111-21-211442222-1-122-1-1-1-122-1-122-1-1-1-1-2-2-2-211-2-21111000000000000000000000000000000000000000
χ714444-4-4-2-24-2-24-2-244-2-241-2-211-42222-4-4-2-211-2-2-2-211111-2-21122-24-1-12222-1-1-1-111-2-2-2-21111-42-1-12222-1-1-1-1000000000000000000000000000000000000000
χ724444-4-4-2-24-2-24-2-244-2-2-41-2-21142222-4-42211-2-2-2-211111-2-211-2-22-4-1-12222-1-1-1-1-1-12222-1-1-1-14-211-2-2-2-21111000000000000000000000000000000000000000
χ734444-4-4-2-2-2-2-2-2-2-2-2-2-2-24111−1−3i32−1+3i32-4222222-2-2111111−1−3i32−1+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+3i32−1−3i32-4222222-2-2111111−1+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
χ7744-4-400444-444-44-4-4-4-4044444000000000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ7844-4-40044-2-44-2-4422-4-404-2-2-2-2000000000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000023−23000000000000
χ7944-4-40044-2-44-2-4422-4-404-2-2-2-2000000000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000−2323000000000000
χ8044-4-4004-242-24-44-4-4-420-24-2-2-20000000002-2-442-222-2-22-4222000000000000000000000000000000000000000000000023−23−23230000000000000000000000000
χ8144-4-4004-242-24-44-4-4-420-24-2-2-20000000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000−232323−230000000000000000000000000
χ8244-4-400-244-4442-2-4-42-40-2-24-2-20000000002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000000023−230000000000
χ8344-4-400-244-4442-2-4-42-40-2-24-2-20000000002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ844-44-40044-24-424-42-2-4-404-2-2-2-20000000004-4-22-22-2-222-42222000000000000000000000000000000000000004-40000000000000000000-2200000000000000
χ854-44-40044-24-424-42-2-4-404-2-2-2-20000000004-4-22-22-2-222-4222200000000000000000000000000000000000000-4400000000000000000002-200000000000000
χ864-44-4004-24-22-44-4-44-420-24-2-2-2000000000-224-4-22-2-2222-42220000000000000000000000000000000000000000004i−4i00−2i−2i2i2i0000000000000000000000000
χ874-44-4004-24-22-44-4-44-420-24-2-2-2000000000-224-4-22-2-2222-4222000000000000000000000000000000000000000000−4i4i002i2i−2i−2i0000000000000000000000000
χ884-44-400-2444-4-4-22-442-40-2-24-2-2000000000-22-224-4-2-22222-422000000000000000000000000000000000000000000004i−4i0000000000000000000−2i2i00000000
χ894-44-400-2444-4-4-22-442-40-2-24-2-2000000000-22-224-4-2-22222-42200000000000000000000000000000000000000000000−4i4i00000000000000000002i−2i00000000
χ904-4-444-444-2-4-42-4-4-224404-2-2-2-204-44-4-2200-4-4222222224-2-2-2-200004-4-22-22-2-2220000000000000000000000000000000000000000000000000000000000000
χ914-4-444-44-2-2222-4-4-224-20-2-211104-4-22-22−2i32i32222-1-1-1-1-1-1-2-2111−2i32i300-22-221-111-1-1−2i32i300i3−i3i3i3−i3−i300−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ924-4-444-44-2-2222-4-4-224-20-2-211104-4-22-222i3−2i32222-1-1-1-1-1-1-2-21112i3−2i300-22-221-111-1-12i3−2i300−i3i3−i3−i3i3i3002i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ934-4-444-4-244-4-4-4224-4-240-2-24-2-20-224-44-4002222-4-42222-2-24-2-20000-22-224-4-2-2220000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-24-2-4-4222-22-240-21-2110-224-4-220022-1-122-1-1-1-1-21-2110000-221-1-2211-1-1003-3003-3-3300003-3003-3-33000000000000000000000000000000000000000
χ954-4-444-4-24-2-4-4222-22-240-21-2110-224-4-220022-1-122-1-1-1-1-21-2110000-221-1-2211-1-100-3300-333-30000-3300-333-3000000000000000000000000000000000000000
χ964-4-444-4-2-2422-4224-4-2-201-2-2110-22-224-4−2i32i3-1-12222-1-1-1-11-2-211−2i32i3001-1-22-2211-1-1i3−i300−2i32i3i3i3−i3−i300i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ974-4-444-4-2-2422-4224-4-2-201-2-2110-22-224-42i3−2i3-1-12222-1-1-1-11-2-2112i3−2i3001-1-22-2211-1-1−i3i3002i3−2i3−i3−i3i3i300−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ984-4-444-4-2-2-222222-22-2-20111−1−3i32−1+3i320-22-22-22−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i3200i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ994-4-444-4-2-2-222222-22-2-20111−1−3i32−1+3i320-22-22-222i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i3200−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1004-4-444-4-2-2-222222-22-2-20111−1+3i32−1−3i320-22-22-22−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i3200i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ1014-4-444-4-2-2-222222-22-2-20111−1+3i32−1−3i320-22-22-222i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i3001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i3200−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1024-4-44-4444-2-4-42-4-4-224404-2-2-2-20-44-442-200-4-4222222224-2-2-2-20000-442-22-222-2-20000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-2-2222-4-4-224-20-2-21110-442-22-2−2i32i32222-1-1-1-1-1-1-2-21112i3−2i3002-22-2-11-1-111−2i32i300i3−i3i3i3−i3−i3002i3−2i300−i3i3−i3−i3i3i3000000000000000000000000000000000000000
χ1044-4-44-444-2-2222-4-4-224-20-2-21110-442-22-22i3−2i32222-1-1-1-1-1-1-2-2111−2i32i3002-22-2-11-1-1112i3−2i300−i3i3−i3−i3i3i300−2i32i300i3−i3i3i3−i3−i3000000000000000000000000000000000000000
χ1054-4-44-44-244-4-4-4224-4-240-2-24-2-202-2-44-44002222-4-42222-2-24-2-200002-22-2-4422-2-20000000000000000000000000000000000000000000000000000000000000
χ1064-4-44-44-24-2-4-4222-22-240-21-21102-2-442-20022-1-122-1-1-1-1-21-21100002-2-112-2-1-111003-3003-3-330000-3300-333-3000000000000000000000000000000000000000
χ1074-4-44-44-24-2-4-4222-22-240-21-21102-2-442-20022-1-122-1-1-1-1-21-21100002-2-112-2-1-11100-3300-333-300003-3003-3-33000000000000000000000000000000000000000
χ1084-4-44-44-2-2422-4224-4-2-201-2-21102-22-2-44−2i32i3-1-12222-1-1-1-11-2-2112i3−2i300-112-22-2-1-111i3−i300−2i32i3i3i3−i3−i300−i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000000000000000
χ1094-4-44-44-2-2422-4224-4-2-201-2-21102-22-2-442i3−2i3-1-12222-1-1-1-11-2-211−2i32i300-112-22-2-1-111−i3i3002i3−2i3−i3−i3i3i300i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000000000000000
χ1104-4-44-44-2-2-222222-22-2-20111−1−3i32−1+3i3202-22-22-2−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i300-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i33-3i3−i3−3−i323−i323+i32−3+i3200−i3i3-33−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000
χ1114-4-44-44-2-2-222222-22-2-20111−1−3i32−1+3i3202-22-22-22i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i300-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3-33−i3i33+i32−3+i32−3−i323−i3200i3−i33-3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000
χ1124-4-44-44-2-2-222222-22-2-20111−1+3i32−1−3i3202-22-22-2−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i300-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3-33i3−i33−i32−3−i32−3+i323+i3200−i3i33-3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000
χ1134-4-44-44-2-2-222222-22-2-20111−1+3i32−1−3i3202-22-22-22i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i300-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i33-3−i3i3−3+i323+i323−i32−3−i3200i3−i3-33i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000
χ11488-8-8008-4-44-4-4-8844-840-4-42220000000004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-800-48-4-88-44-4444-80-42-4220000000004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11688-8-800-4-484-484-4-8-84402-4-422000000000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ11788-8-800-4-4-44-4-44-444440222−1−3i3−1+3i3000000000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-800-4-4-44-4-44-444440222−1+3i3−1−3i3000000000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8008-4-4-4448-84-4-840-4-4222000000000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-800-48-48-84-444-44-80-42-422000000000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-800-4-48-44-8-44-884402-4-4220000000002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-800-4-4-4-444-444-4440222−1−3i3−1+3i30000000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-800-4-4-4-444-444-4440222−1+3i3−1−3i30000000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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