Finite Group Databasebeta

← Group #13178713

Character table — Group #13178713

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212222244444444446666444444121212121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111
χ811111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-11-11-111-1-111-1-1-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111-1-11-11-1-111-1-111-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-11111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-11-111-1-1-11111-1-111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-11111-11-11-1111-1-111-1-1-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-111-1-11111-111-11-1-1-111-1-111-1-1-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-1-111-111-1-1-1-1111111-1-1-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-1-1-1-11-11-1-11-1-11111-1-11111-1-11-1-11
χ17222222-122-1-1222222-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122220000000022-1-1-1-122000000000000-1-1-1-1-1-10000
χ18222222-122-1-1222222-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000-2-21111-2-20000000000001111110000
χ19222222-122-1-1222222-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111122220000000022-1-1-1-1-2-2000000000000-1-111110000
χ20222222-122-1-1222222-12-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-12222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-200000000-2-211112200000000000011-1-1-1-10000
χ21222222-1-2-2-1-1222222-12-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-1-11122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111222200000000-2-2-1-1-1-12-200000000000011-1-1110000
χ22222222-1-2-2-1-1222222-12-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-1-11122-2-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-200000000221111-22000000000000-1-111-1-10000
χ23222222-1-2-2-1-1222222-12-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-1222200000000-2-2-1-1-1-1-220000000000001111-1-10000
χ24222222-1-2-2-1-1222222-12-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21111-1-1-2-222-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2000000002211112-2000000000000-1-1-1-1110000
χ2522222-12222222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-1-12222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000022220000000000220000-1-1-1-100000000-1-1
χ2622222-12222222-1-12-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122-1-12222222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-20000000000-2-2000011110000000011
χ2722222-12222222-1-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-2-2-21-21-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000022220000000000-2-20000-1-1-1-10000000011
χ2822222-12222222-1-12-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-2-2-2-2-21-21-1-122-1-1-1-1-1-111-2-211111111-2-211111100000000-2-2-2-20000000000220000111100000000-1-1
χ2922222-12-2-22222-1-12-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-222-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000022-2-200000000002-20000-1-11100000000-11
χ3022222-12-2-22222-1-12-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-222-2-22-1-2111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000-2-2220000000000-22000011-1-1000000001-1
χ3122222-12-2-22222-1-12-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-222-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000022-2-20000000000-220000-1-111000000001-1
χ3222222-12-2-22222-1-12-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-2-222-212-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000-2-22200000000002-2000011-1-100000000-11
χ332222-1222222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000022220000000000002200-1-1-1-10000000000-1-100
χ342222-1222222-1-122-122-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122222222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-2000000000000-2-200111100000000001100
χ352222-1222222-1-122-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100002222000000000000-2-200-1-1-1-100000000001100
χ362222-1222222-1-122-122-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-2-2-2-21-21-2-1-1-1-122-1-1-1-11111-2-211111111-2-211110000-2-2-2-2000000000000220011110000000000-1-100
χ372222-122-2-222-1-122-122-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-222-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111000022-2-20000000000002-200-1-1110000000000-1100
χ382222-122-2-222-1-122-122-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-222-2-2-121-21111-2-21111-1-1-1-122-1-1-1-11111-2-211110000-2-222000000000000-220011-1-100000000001-100
χ392222-122-2-222-1-122-122-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-2-2221-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-1000022-2-2000000000000-2200-1-11100000000001-100
χ402222-122-2-222-1-122-122-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-2-2221-2-121111-2-211111111-2-21111-1-1-1-122-1-1-1-10000-2-2220000000000002-20011-1-10000000000-1100
χ4122-2-2222002-22-22-2-2-2-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2002-2002-20022-2-2000000002-2002-20000000000
χ4222-2-2222002-22-22-2-2-2-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-200-2200-220022-2-200000000-2200-220000000000
χ4322-2-2222002-22-22-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-222002-200-2200-2-222000000002-200-220000000000
χ4422-2-2222002-22-22-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-22200-22002-200-2-22200000000-22002-20000000000
χ452-22-222200-22-22-22-2-2-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-22-22-2002-200002-22-20000002-2002-2000000000000
χ462-22-222200-22-22-22-2-2-22222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002-22-2-2200-2200002-22-2000000-2200-22000000000000
χ472-22-222200-22-22-22-2-2-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-22-222-200-220000-22-220000002-200-22000000000000
χ482-22-222200-22-22-22-2-2-22222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000-22-22-22002-20000-22-22000000-22002-2000000000000
χ492-2-222222-2-2-2-2-2-2-22222222200-2-2-2-2-2-2-2-2-2-2222222-22-22-2000000002-22-22-222-2-2000000000000000000002-2-22000000002-22-2-22000000000000002-200000000
χ502-2-222222-2-2-2-2-2-2-22222222200-2-2-2-2-2-2-2-2-2-2222222-22-22-2000000002-22-22-222-2-200000000000000000000-222-200000000-22-222-200000000000000-2200000000
χ512-2-22222-22-2-2-2-2-2-22222222200-2-2-2-2-2-2-2-2-2-222222-22-22-2200000000-22-22-22-2-222000000000000000000002-2-2200000000-222-2-2200000000000000-2200000000
χ522-2-22222-22-2-2-2-2-2-22222222200-2-2-2-2-2-2-2-2-2-222222-22-22-2200000000-22-22-22-2-22200000000000000000000-222-2000000002-2-222-2000000000000002-200000000
χ532-2-2222-12-211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-12-22-2-11i3−i3i3−i300002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-2-22000000002-2-111-100000000000000-11i3−i3i3−i30000
χ542-2-2222-12-211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-12-22-2-11i3−i3i3−i300002-2-11-11-1-11100i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i3-222-200000000-221-1-11000000000000001-1−i3i3−i3i30000
χ552-2-2222-12-211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-12-22-2-11−i3i3−i3i300002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-2-22000000002-2-111-100000000000000-11−i3i3−i3i30000
χ562-2-2222-12-211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-12-22-2-11−i3i3−i3i300002-2-11-11-1-11100−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i3-222-200000000-221-1-11000000000000001-1i3−i3i3−i30000
χ572-2-2222-1-2211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-1-22-221-1i3−i3−i3i30000-221-11-111-1-100i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i32-2-2200000000-22-111-1000000000000001-1i3−i3−i3i30000
χ582-2-2222-1-2211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-1-22-221-1i3−i3−i3i30000-221-11-111-1-100i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-222-2000000002-21-1-1100000000000000-11−i3i3i3−i30000
χ592-2-2222-1-2211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-1-22-221-1−i3i3i3−i30000-221-11-111-1-100−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i32-2-2200000000-22-111-1000000000000001-1−i3i3i3−i30000
χ602-2-2222-1-2211-2-2-2-222-12-1-1-1-100-2-2111111112-1-1-1-1-22-221-1−i3i3i3−i30000-221-11-111-1-100−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-222-2000000002-21-1-1100000000000000-11i3−i3−i3i30000
χ6144444-2-244-2-244-2-24-2-2-2-211144-2-2-2-2111111-2-211144-2-2-2-2-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-2-244-2-24-2-2-2-2111-4-4-2-2-2-2111111-2-211144-2-2-2-22222-42-42-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-2-244-2-24-2-2-2-21114-4-2-2-2-2111111-2-2111-4-42222-2-2224-2-422222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-2-244-2-24-2-2-2-2111-44-2-2-2-2111111-2-2111-4-4222222-2-2-424-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-2-2-2-244-24-2-21-21144-2-211-2-21111-21-211-2-244-2-2-2-2-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-2-2-244-24-2-21-211-4-4-2-211-2-21111-21-211-2-244-2-222222-42-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-2-2-244-24-2-21-2114-4-2-211-2-21111-21-21122-4-422-2-222-242-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-2-2-244-24-2-21-211-44-2-211-2-21111-21-21122-4-42222-2-22-4-2422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-244444-2-2-2-2-2-241-2-2114411-2-2-2-211111-2-211-2-2-2-2444444-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-244444-2-2-2-2-2-241-2-211-4-411-2-2-2-211111-2-211-2-2-2-244-4-4-4-4222211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-444-2-2-2-2-2-241-2-2114-411-2-2-2-211111-2-2112222-4-444-4-4-2-222-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-444-2-2-2-2-2-241-2-211-4411-2-2-2-211111-2-2112222-4-4-4-44422-2-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ744444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-222222222111111−1+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+3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-222222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222-2-222-2-222-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222-2-222-2-222-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ8144-4-444-200-224-44-4-4-424-2-2-2-2004-4-22-22-2-222-422220000000000000000000000000000000000000000000044-4-40000000000-2-222000000000000000000000000
χ8244-4-444-200-224-44-4-4-424-2-2-2-2004-4-22-22-2-222-4222200000000000000000000000000000000000000000000-4-444000000000022-2-2000000000000000000000000
χ8344-4-44-24004-44-4-22-42-4-24-2-2-200-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000004-4000000000000000000-220000000000
χ8444-4-44-24004-44-4-22-42-4-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000000-440000000000000000002-20000000000
χ8544-4-4-244004-4-224-42-4-4-2-24-2-200-22-224-4-2-22222-422000000000000000000000000000000000000000000000000004-4000000000000000000-2200000000000000
χ8644-4-4-244004-4-224-42-4-4-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000000000-440000000000000000002-200000000000000
χ874-44-444-2002-2-44-44-4-424-2-2-2-200-442-22-222-2-2-42222000000000000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
χ884-44-444-2002-2-44-44-4-424-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000-44-4400000000002-22-2000000000000000000000000
χ894-44-44-2400-44-442-2-42-4-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000004-4000000000000000000-22000000000000
χ904-44-44-2400-44-442-2-42-4-24-2-2-2002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000-440000000000000000002-2000000000000
χ914-44-4-24400-442-2-442-4-4-2-24-2-2002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
χ924-44-4-24400-442-2-442-4-4-2-24-2-2002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000-440000000000000000002-20000000000000000
χ934-4-444-244-4-4-4-4-4224-24-24-2-2-20022-4-4222222-24-2-2-24-4-224-400000000-224-4-22-2-22200000000000000000000000000000000000000000000000000000000000000
χ944-4-444-24-44-4-4-4-4224-24-24-2-2-20022-4-4222222-24-2-2-2-442-2-44000000002-2-442-222-2-200000000000000000000000000000000000000000000000000000000000000
χ954-4-444-2-24-422-4-4224-2-2-2-2111002222-1-1-1-1-1-1-2-21114-4-22-222i3−2i32i3−2i30000-22-221-111-1-1002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ964-4-444-2-24-422-4-4224-2-2-2-2111002222-1-1-1-1-1-1-2-21114-4-22-22−2i32i3−2i32i30000-22-221-111-1-100−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ974-4-444-2-2-4422-4-4224-2-2-2-2111002222-1-1-1-1-1-1-2-2111-442-22-22i3−2i3−2i32i300002-22-2-11-1-111002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ984-4-444-2-2-4422-4-4224-2-2-2-2111002222-1-1-1-1-1-1-2-2111-442-22-2−2i32i32i3−2i300002-22-2-11-1-11100−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ994-4-44-2444-4-4-422-4-4-244-2-24-2-2002222-4-42222-2-24-2-2-224-44-400000000-22-224-4-2-22200000000000000000000000000000000000000000000000000000000000000
χ1004-4-44-244-44-4-422-4-4-244-2-24-2-2002222-4-42222-2-24-2-22-2-44-44000000002-22-2-4422-2-200000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-24-24-42222-4-4-24-2-21-2110022-1-122-1-1-1-1-21-211-224-4-222i3−2i32i3−2i30000-221-1-2211-1-100−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1024-4-44-24-24-42222-4-4-24-2-21-2110022-1-122-1-1-1-1-21-211-224-4-22−2i32i3−2i32i30000-221-1-2211-1-100i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1034-4-44-24-2-442222-4-4-24-2-21-2110022-1-122-1-1-1-1-21-2112-2-442-22i3−2i3−2i32i300002-2-112-2-1-11100−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i3000000000000000000000000000000000000000000
χ1044-4-44-24-2-442222-4-4-24-2-21-2110022-1-122-1-1-1-1-21-2112-2-442-2−2i32i32i3−2i300002-2-112-2-1-11100i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i3000000000000000000000000000000000000000000
χ1054-4-44-2-244-4-4-42222-2-241-2-21100-1-12222-1-1-1-11-2-211-22-224-4000000001-1-22-2211-1-13-300003-3-333-300003-3-33000000000000000000000000000000000000000000
χ1064-4-44-2-244-4-4-42222-2-241-2-21100-1-12222-1-1-1-11-2-211-22-224-4000000001-1-22-2211-1-1-330000-333-3-330000-333-3000000000000000000000000000000000000000000
χ1074-4-44-2-24-44-4-42222-2-241-2-21100-1-12222-1-1-1-11-2-2112-22-2-4400000000-112-22-2-1-1113-300003-3-33-330000-333-3000000000000000000000000000000000000000000
χ1084-4-44-2-24-44-4-42222-2-241-2-21100-1-12222-1-1-1-11-2-2112-22-2-4400000000-112-22-2-1-111-330000-333-33-300003-3-33000000000000000000000000000000000000000000
χ1094-4-44-2-2-24-4222222-2-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-222i3−2i32i3−2i300001-11-11-1−1+3i32−1−3i321−3i321+3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ1104-4-44-2-2-24-4222222-2-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-22−2i32i3−2i32i300001-11-11-1−1+3i32−1−3i321−3i321+3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ1114-4-44-2-2-24-4222222-2-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-222i3−2i32i3−2i300001-11-11-1−1−3i32−1+3i321+3i321−3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ1124-4-44-2-2-24-4222222-2-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-22−2i32i3−2i32i300001-11-11-1−1−3i32−1+3i321+3i321−3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ1134-4-44-2-2-2-44222222-2-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-22i3−2i3−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ1144-4-44-2-2-2-44222222-2-2-2111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-2−2i32i32i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i32-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ1154-4-44-2-2-2-44222222-2-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-22i3−2i3−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i32-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ1164-4-44-2-2-2-44222222-2-2-2111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-2−2i32i32i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ11788-8-88-4-400-448-8-44-844-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-44-448-84-84-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11988-8-8-4-48008-8-44-4444-82-4-422002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12088-8-8-4-4-400-44-44-44444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-44-44-44444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-88-88-4-4004-4-884-4-844-4-4222004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-88-8-48-4004-44-4-884-84-42-422004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-88-8-4-4800-884-44-444-82-4-42200-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-88-8-4-4-4004-44-44-4444222−1+3i3−1−3i300-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-88-8-4-4-4004-44-44-4444222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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