Finite Group Databasebeta

← Group #13178707

Character table — Group #13178707

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12223334466666666622333336666666666666666666121212121212666666666666666666666666121212121212121212122244121212122222444444661212121212121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-111
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-11-11-11-11111-1-111-1-111-1-11-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-11-111-111-1-111-1-11111-1-1-11-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-11-11-1-111-1-1-1-111-1-1111-1-11
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-111-1-11-1-1-1-11111-1-1-1-111-111-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-11-1-11-11-1111-1-111-1-111-1-1111-11-1
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-111-11-1-111111-1-111-1-1-1-111-11-11
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11-111-11-1-1-1-1-11111-1-111-1-11-1-11
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-111-11-1-111-1-1-111-1-1-1-11111-1-1-111-1
χ17222222-122222-122-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000022002200000000-1-1-1-1000000-1-1
χ18222222-122222-122-1-12222-1-1-1-1222222-1-1-1-1-1-1-1-12-1-1-1-122-1-1222-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000-2-200-2-200000000111100000011
χ19222222-122222-122-1-12-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-21-21-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000002200-2-2000000001111000000-1-1
χ20222222-122222-122-1-12-2-22-1-1-1-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-21-21-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000000000-2-2002200000000-1-1-1-100000011
χ21222222-1-2-2222-122-1-122-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000002-2002-200000000-1-111000000-11
χ22222222-1-2-2222-122-1-122-22-1-1-1-122-2-222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-22-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000000000-2200-220000000011-1-10000001-1
χ23222222-1-2-2222-122-1-12-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000002-200-220000000011-1-1000000-11
χ24222222-1-2-2222-122-1-12-222-1-1-1-1-2-22222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-2-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000000000-22002-200000000-1-1110000001-1
χ2522222-122222-12-1-122222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-12222-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000220022000000-1-1-1-100000000-1-100
χ2622222-122222-12-1-122222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-1-1-12222-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-200-2-20000001111000000001100
χ2722222-122222-12-1-1222-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-122221-21-211-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000002200-2-2000000111100000000-1-100
χ2822222-122222-12-1-1222-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-122221-21-211-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-20022000000-1-1-1-1000000001100
χ2922222-12-2-222-12-1-12222-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-2-121-2-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000002-2002-2000000-1-11100000000-1100
χ3022222-12-2-222-12-1-12222-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-2-121-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2200-2200000011-1-1000000001-100
χ3122222-12-2-222-12-1-1222-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-21-2-1211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000002-200-2200000011-1-100000000-1100
χ3222222-12-2-222-12-1-1222-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-111-2-2-2-21-2-1211-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-22002-2000000-1-111000000001-100
χ332222-12222-1-1222222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-10000000022-1-100000000-1-1-1-10000
χ342222-12222-1-1222222-122-1-12-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-12222-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111100000000-2-2110000000011110000
χ352222-12222-1-1222222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-12222-1-1-1-100000000-2-2-1-10000000011110000
χ362222-12222-1-1222222-1-2-2-1-12-1-11111-1-1-1-122-1-1-1-1-1-12-1-12222-1-1-2-2-2-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2-2-2111100000000221100000000-1-1-1-10000
χ372222-122-2-2-1-1222222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21122-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111122-2-21111000000002-2-1-100000000-1-1110000
χ382222-122-2-2-1-1222222-12-2-1-12-1-1-1-111-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-21122-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-222-1-1-1-100000000-22110000000011-1-10000
χ392222-122-2-2-1-1222222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-211-2-2221111-2-21111-1-1-1-122-1-1-1-11111-2-2111122-2-2111100000000-22-1-10000000011-1-10000
χ402222-122-2-2-1-1222222-1-22-1-12-1-111-1-1-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-211-2-2221111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-222-1-1-1-1000000002-21100000000-1-1110000
χ412-2-222222-2-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-22-22-222-2-200000000002-20000000000000000
χ422-2-222222-2-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2-22-22-2-2220000000000-220000000000000000
χ432-2-22222-22-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-2222-2-22-2-22200000000002-20000000000000000
χ442-2-22222-22-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222-222-222-2-20000000000-220000000000000000
χ452-2-22-1222-21122-2-2-2-2-100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-12-22-2-110000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-1112-22-2-1-1110000000000-1100000000−i3i3−i3i30000
χ462-2-22-1222-21122-2-2-2-2-100-1-12-1-1−i3i3−i3i31111-2-21111-1-12-1-12-22-2-110000−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3-11-112-2-1-111-22-2211-1-100000000001-100000000i3−i3i3−i30000
χ472-2-22-1222-21122-2-2-2-2-100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-12-22-2-110000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-1112-22-2-1-1110000000000-1100000000i3−i3i3−i30000
χ482-2-22-1222-21122-2-2-2-2-100-1-12-1-1i3−i3i3−i31111-2-21111-1-12-1-12-22-2-110000i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3-11-112-2-1-111-22-2211-1-100000000001-100000000−i3i3−i3i30000
χ492-2-22-122-221122-2-2-2-2-100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-1-22-221-10000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-12-2-2211-1-10000000000-1100000000−i3i3i3−i30000
χ502-2-22-122-221122-2-2-2-2-100-1-12-1-1−i3i3i3−i31111-2-21111-1-12-1-1-22-221-10000−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i31-11-1-2211-1-1-222-2-1-11100000000001-100000000i3−i3−i3i30000
χ512-2-22-122-221122-2-2-2-2-100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-1-22-221-10000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-12-2-2211-1-10000000000-1100000000i3−i3−i3i30000
χ522-2-22-122-221122-2-2-2-2-100-1-12-1-1i3−i3−i3i31111-2-21111-1-12-1-1-22-221-10000i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i31-11-1-2211-1-1-222-2-1-11100000000001-100000000−i3i3i3−i30000
χ5344444-2-24444-2-2-2-2-2-2444-2-21114444-2-2-2-2111111-2-2111-2-2-2-244-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-24444-2-2-2-2-2-24-4-4-2-2111-4-4-4-4-2-2-2-2111111-2-2111-2-2-2-24422222222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ5544444-2-2-4-444-2-2-2-2-2-244-4-2-211144-4-4-2-2-2-2111111-2-21112222-4-4-2-222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-444-2-2-2-2-2-24-44-2-2111-4-444-2-2-2-2111111-2-21112222-4-422-2-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ574444-24-244-2-24-244-2-2-244-21-211-2-2-2-2-2-211-2-21111-21-21144-2-2-2-24-24-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-244-2-24-244-2-2-2-4-4-21-2112222-2-211-2-21111-21-21144-2-2-2-2-42-4222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ594444-24-2-4-4-2-24-244-2-2-24-4-21-211-2-222-2-211-2-21111-21-211-4-422224-2-42-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ604444-24-2-4-4-2-24-244-2-2-2-44-21-21122-2-2-2-211-2-21111-21-211-4-42222-424-222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ614444-2-2444-2-2-24-2-244-2441-2-211-2-2-2-211-2-2-2-211111-2-211-2-244-2-2-24-2411-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-2444-2-2-24-2-244-2-4-41-2-211222211-2-2-2-211111-2-211-2-244-2-22-42-4-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ634444-2-24-4-4-2-2-24-2-244-24-41-2-211-2-22211-2-2-2-211111-2-21122-4-422-242-411-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ644444-2-24-4-4-2-2-24-2-244-2-441-2-21122-2-211-2-2-2-211111-2-21122-4-4222-4-24-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i32-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i32-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i322222111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-22222-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i322222111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-22222-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+3i32-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
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χ7344-4-4444004-4-4-44-44-4-4004444400004-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ7444-4-444-2004-4-424-4-22-4004-2-2-2-200004-4-22-22-22-22-42222000000000000000000000000000000000000000000000000000000000000000000−2i32i300000000
χ7544-4-444-2004-4-424-4-22-4004-2-2-2-200004-4-22-22-22-22-422220000000000000000000000000000000000000000000000000000000000000000002i3−2i300000000
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χ7744-4-44-24004-42-4-224-4-400-24-2-2-20000-224-4-22-22-222-42220000000000000000000000000000000000000000000000000000000000002i3−2i300000000000000
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χ7944-4-4-24400-22-4-44-44-4200-2-24-2-20000-22-224-4-22-2222-42200000000000000000000000000000000000000000000−2323−23230000000000000000000000000000
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χ834-44-44-2400-442-42-2-44-400-24-2-2-200002-2-442-22-22-22-422200000000000000000000000000000000000000000000000000000000000000−2i32i3000000000000
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χ854-44-4-244002-2-4-4-44-44200-2-24-2-200002-22-2-442-22-222-4220000000000000000000000000000000000000000000023−23−23230000000000000000000000000000
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χ884-4-4444-2-44-4-44-2-4-4224004-2-2-2-20000-4-4222222224-2-2-2-2-442-2-44000000000000000000000000-442-22-222-2-2000000000000000000000000000000000000
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χ904-4-444-24-44-4-4-2422-4-4400-24-2-2-2000022-4-4222222-24-2-2-22-2-44-440000000000000000000000002-2-442-222-2-2000000000000000000000000000000000000
χ914-4-444-2-24-4-4-4-2-22222400-2-211100002222-1-1-1-1-1-1-2-2111-22-224-4000000003-33-3-3300003-33-3-33-22-221-111-1-1000000000000000000000000000000000000
χ924-4-444-2-24-4-4-4-2-22222400-2-211100002222-1-1-1-1-1-1-2-2111-22-224-400000000-33-333-30000-33-333-3-22-221-111-1-1000000000000000000000000000000000000
χ934-4-444-2-2-44-4-4-2-22222400-2-211100002222-1-1-1-1-1-1-2-21112-22-2-44000000003-33-3-330000-33-333-32-22-2-11-1-111000000000000000000000000000000000000
χ944-4-444-2-2-44-4-4-2-22222400-2-211100002222-1-1-1-1-1-1-2-21112-22-2-4400000000-33-333-300003-33-3-332-22-2-11-1-111000000000000000000000000000000000000
χ954-4-44-24-24-4224-2-4-422-200-21-211−2i32i3−2i32i322-1-122-1-1-1-1-21-2114-4-22-220000−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000000
χ964-4-44-24-24-4224-2-4-422-200-21-2112i3−2i32i3−2i322-1-122-1-1-1-1-21-2114-4-22-2200002i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000000
χ974-4-44-24-2-44224-2-4-422-200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-211-442-22-20000−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000
χ984-4-44-24-2-44224-2-4-422-200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-211-442-22-200002i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000
χ994-4-44-2-244-422-2422-4-4-2001-2-211−2i32i3−2i32i3-1-12222-1-1-1-11-2-211-224-4-220000i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i31-1-22-2211-1-1000000000000000000000000000000000000
χ1004-4-44-2-244-422-2422-4-4-2001-2-2112i3−2i32i3−2i3-1-12222-1-1-1-11-2-211-224-4-220000−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i31-1-22-2211-1-1000000000000000000000000000000000000
χ1014-4-44-2-24-4422-2422-4-4-2001-2-211−2i32i32i3−2i3-1-12222-1-1-1-11-2-2112-2-442-20000i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3-112-22-2-1-111000000000000000000000000000000000000
χ1024-4-44-2-24-4422-2422-4-4-2001-2-2112i3−2i3−2i32i3-1-12222-1-1-1-11-2-2112-2-442-20000−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3-112-22-2-1-111000000000000000000000000000000000000
χ1034-4-44-2-2-24-422-2-22222-200111−1−3i32−1+3i32−2i32i3−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-22-220000i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000
χ1044-4-44-2-2-24-422-2-22222-200111−1−3i32−1+3i322i3−2i32i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-22-220000−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000
χ1054-4-44-2-2-24-422-2-22222-200111−1+3i32−1−3i32−2i32i3−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-22-220000i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000
χ1064-4-44-2-2-24-422-2-22222-200111−1+3i32−1−3i322i3−2i32i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-22-220000−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000
χ1074-4-44-2-2-2-4422-2-22222-200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-22-20000i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ1084-4-44-2-2-2-4422-2-22222-200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-22-20000−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ1094-4-44-2-2-2-4422-2-22222-200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-22-20000i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ1104-4-44-2-2-2-4422-2-22222-200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-22-20000−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ11188-8-88-4-4008-844-44-44-800-4-42220000-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-44-848-8-44400-42-4220000-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4800-444-8-448-84002-4-42200002-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-4444-44-44400222−1−3i3−1+3i300002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-400-4444-44-44400222−1+3i3−1−3i300002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-88-88-4-400-88444-44-4-800-4-422200004-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-88-8-48-4004-4-84-884-4400-42-42200004-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-4-48004-44-84-4-884002-4-4220000-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-4-4004-4444-44-4400222−1−3i3−1+3i30000-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-4004-4444-44-4400222−1+3i3−1−3i30000-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

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