Finite Group Databasebeta

← Group #13178623

Character table — Group #13178623

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order12223334466666666622333336666666666666666666121212121212666666666666666666666666121212121212121212122222444444444466662222226666121212121212121212126666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ6111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ7111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-1
χ91111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111111-11-11-111-1-111-1-111-1-1-1-11-11-1
χ101111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111-1-11-1111-1-1-1-111-1-111-1-1-11-11
χ111111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-111-1-11-1-11111-1-1-1-111111-1-11
χ121111111-1-11111111111-11111111-1-1111111111111111-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-111-1-1-111-1-11111-1-111-111-1
χ131111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-11-11-11-1-11111-1-111-1-1-1-1-11-11
χ141111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-111-11-1-1-111-1-111-1-111-1-11-11-1
χ151111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11-1-111-111-1-111-1-1-1-11111-111-1
χ161111111-1-1111111111-1111111-1-111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11-11-1-1111-1-1-1-11111-1-1111-1-11
χ17222222-122-1-1222222-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122222200000000-1-1-1-1220000-1-1-1-100000000-1-10000
χ18222222-122-1-1222222-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111-2-20000111100000000110000
χ19222222-122-1-1222222-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-2-2-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-122222200000000-1-1-1-1-2-20000111100000000-1-10000
χ20222222-122-1-1222222-1-2-22-1-1-1-1111122-1-1-1-1-1-1-1-12-1-1-1-12222-1-1-2-2-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000001111220000-1-1-1-100000000110000
χ21222222-1-2-2-1-1222222-12-22-1-1-1-1-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111112222-2-200000000-1-1-1-12-20000-1-11100000000110000
χ22222222-1-2-2-1-1222222-12-22-1-1-1-1-1-11122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-21122-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111-2-2-2-222000000001111-22000011-1-100000000-1-10000
χ23222222-1-2-2-1-1222222-1-222-1-1-1-111-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-222-2-21111111122-1-1-1-1-1-1-1-1-2-2111111112222-2-200000000-1-1-1-1-22000011-1-100000000110000
χ24222222-1-2-2-1-1222222-1-222-1-1-1-111-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-211-2-222-2-21111111122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2220000000011112-20000-1-11100000000-1-10000
χ2522222-1222222-122-1-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000002222000000002200000000-1-1-1-10000-1-1
χ2622222-1222222-122-1-1222-12-1-1-12222-1-122-1-1-1-1-1-1-12-1-1-122-1-1222-12-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-2-2-200000000-2-2000000001111000011
χ2722222-1222222-122-1-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000222200000000-2-200000000-1-1-1-1000011
χ2822222-1222222-122-1-12-2-2-12-1-1-1-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-122-1-122-21-2111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000-2-2-2-200000000220000000011110000-1-1
χ2922222-12-2-2222-122-1-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-22-1-21-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000000022-2-2000000002-200000000-1-1110000-11
χ3022222-12-2-2222-122-1-122-2-12-1-1-122-2-2-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-22-1-21-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000-2-22200000000-220000000011-1-100001-1
χ3122222-12-2-2222-122-1-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-212-111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000000022-2-200000000-2200000000-1-11100001-1
χ3222222-12-2-2222-122-1-12-22-12-1-1-1-2-222-1-122-1-1-1-1-1-1-12-1-1-1-2-211-2-2-212-111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000-2-222000000002-20000000011-1-10000-11
χ332222-1222222-12-1-122222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000002222000000000022000000-1-1-1-1000000-1-100
χ342222-1222222-12-1-122222-1-12-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-12222-12-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1000000-2-2-2-20000000000-2-200000011110000001100
χ352222-1222222-12-1-1222-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221-21-21111-2-211111111-2-21111-1-1-1-122-1-1-1-100000022220000000000-2-2000000-1-1-1-10000001100
χ362222-1222222-12-1-1222-2-2-1-12-1-1-2-2-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122221-21-21111-2-211111111-2-21111-1-1-1-122-1-1-1-1000000-2-2-2-20000000000220000001111000000-1-100
χ372222-122-2-222-12-1-12222-2-1-12-1-122-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-121-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111100000022-2-200000000002-2000000-1-111000000-1100
χ382222-122-2-222-12-1-12222-2-1-12-1-122-2-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-2-121-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111000000-2-2220000000000-2200000011-1-10000001-100
χ392222-122-2-222-12-1-1222-22-1-12-1-1-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21-2-121111-2-21111-1-1-1-122-1-1-1-11111-2-2111100000022-2-20000000000-22000000-1-1110000001-100
χ402222-122-2-222-12-1-1222-22-1-12-1-1-2-222-1-1-1-122-1-1-1-1-1-12-1-111-2-2-2-21-2-121111-2-21111-1-1-1-122-1-1-1-11111-2-21111000000-2-22200000000002-200000011-1-1000000-1100
χ4122-2-22222-2-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-222-2-22-20000000022-2-20000000000000000002-20000
χ4222-2-22222-2-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-2222222-22-22-20000000000000000000000002-22-22-222-2-2-2-222-2200000000-2-222000000000000000000-220000
χ4322-2-2222-22-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-22222-2-2-220000000022-2-2000000000000000000-220000
χ4422-2-2222-22-2-222-2-2-2-2200222220000-2-2-2-2-2-2-2-2-2-222222-22-22-22000000000000000000000000-22-22-22-2-222-2-2222-200000000-2-2220000000000000000002-20000
χ4522-2-222-12-21122-2-2-2-2-1002-1-1-1-1i3−i3i3−i3-2-2111111112-1-1-1-12-22-2-11000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-2-11-11-1-11122-2-22-200000000-1-111000000i3−i3i3−i300000000-110000
χ4622-2-222-12-21122-2-2-2-2-1002-1-1-1-1i3−i3i3−i3-2-2111111112-1-1-1-12-22-2-11000000i3−i3i3−i3i3i3−i3−i300i3−i3i3−i3i3i3−i3−i32-2-11-11-1-111-2-222-220000000011-1-1000000−i3i3−i3i3000000001-10000
χ4722-2-222-12-21122-2-2-2-2-1002-1-1-1-1−i3i3−i3i3-2-2111111112-1-1-1-12-22-2-11000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-2-11-11-1-11122-2-22-200000000-1-111000000−i3i3−i3i300000000-110000
χ4822-2-222-12-21122-2-2-2-2-1002-1-1-1-1−i3i3−i3i3-2-2111111112-1-1-1-12-22-2-11000000−i3i3−i3i3−i3−i3i3i300−i3i3−i3i3−i3−i3i3i32-2-11-11-1-111-2-222-220000000011-1-1000000i3−i3i3−i3000000001-10000
χ4922-2-222-1-221122-2-2-2-2-1002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-22-221-1000000i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-221-11-111-1-122-2-2-2200000000-1-111000000i3−i3−i3i3000000001-10000
χ5022-2-222-1-221122-2-2-2-2-1002-1-1-1-1i3−i3−i3i3-2-2111111112-1-1-1-1-22-221-1000000i3−i3i3−i3i3i3−i3−i300−i3i3−i3i3−i3−i3i3i3-221-11-111-1-1-2-2222-20000000011-1-1000000−i3i3i3−i300000000-110000
χ5122-2-222-1-221122-2-2-2-2-1002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-22-221-1000000−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-221-11-111-1-122-2-2-2200000000-1-111000000−i3i3i3−i3000000001-10000
χ5222-2-222-1-221122-2-2-2-2-1002-1-1-1-1−i3i3i3−i3-2-2111111112-1-1-1-1-22-221-1000000−i3i3−i3i3−i3−i3i3i300i3−i3i3−i3i3i3−i3−i3-221-11-111-1-1-2-2222-20000000011-1-1000000i3−i3−i3i300000000-110000
χ532-22-2222002-2-2-22-22-2-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-200002-2002-22-22-20000000000002-2002-2000000
χ542-22-2222002-2-2-22-22-2-2002222200002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-20000-2200-222-22-2000000000000-2200-22000000
χ552-22-2222002-2-2-22-22-2-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-2200002-200-22-22-220000000000002-200-22000000
χ562-22-2222002-2-2-22-22-2-2002222200002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-220000-22002-2-22-22000000000000-22002-2000000
χ572-2-2222200-22-2-2-22-22-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002-2-22002-2002-2002-2-2200000000002-2002-200000000
χ582-2-2222200-22-2-2-22-22-200222220000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000002-2-2200-2200-22002-2-220000000000-2200-2200000000
χ592-2-2222200-22-2-2-22-22-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000-222-2002-200-2200-222-200000000002-200-2200000000
χ602-2-2222200-22-2-2-22-22-200222220000-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000-222-200-22002-200-222-20000000000-22002-200000000
χ6144444-2-244-2-24-244-2-2-244-2-2111-2-2-2-2-2-2-2-2111111-2-211144-2-2-2-24-24-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-2-24-244-2-2-2-4-4-2-21112222-2-2-2-2111111-2-211144-2-2-2-2-42-422222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ6344444-2-2-4-4-2-24-244-2-2-24-4-2-2111-2-222-2-2-2-2111111-2-2111-4-422224-2-42-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-2-24-244-2-2-2-44-2-211122-2-2-2-2-2-2111111-2-2111-4-42222-424-22222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ654444-24-244-2-2-24-2-244-244-21-211-2-2-2-2-2-211-2-21111-21-211-2-244-2-2-24-24-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-2-24-2-244-2-4-4-21-2112222-2-211-2-21111-21-211-2-244-2-22-42-422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-2-24-2-244-24-4-21-211-2-222-2-211-2-21111-21-21122-4-422-242-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-2-24-2-244-2-44-21-21122-2-2-2-211-2-21111-21-21122-4-4222-4-2422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ694444-2-244444-2-2-2-2-2-24441-2-211444411-2-2-2-211111-2-211-2-2-2-244-2-2-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-244444-2-2-2-2-2-24-4-41-2-211-4-4-4-411-2-2-2-211111-2-211-2-2-2-2442222-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
χ714444-2-24-4-444-2-2-2-2-2-244-41-2-21144-4-411-2-2-2-211111-2-2112222-4-4-2-22211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-444-2-2-2-2-2-24-441-2-211-4-44411-2-2-2-211111-2-2112222-4-422-2-2-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ734444-2-2-244-2-2-2-2-2-2-2-2-244111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ744444-2-2-244-2-2-2-2-2-2-2-2-244111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ754444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1+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+3i32−1−3i32000000000000000000000000000000000000000000
χ764444-2-2-244-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+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+3i32000000000000000000000000000000000000000000
χ774444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1+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+3i32000000000000000000000000000000000000000000
χ784444-2-2-2-4-4-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+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+3i321−3i32000000000000000000000000000000000000000000
χ794444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1+3i32−1−3i3222-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222222-2-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000000000
χ804444-2-2-2-4-4-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+3i3222-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222222-2-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000000000
χ8144-4-44-244-4-4-44-2-4-422400-24-2-2-2000022-4-4222222-24-2-2-24-4-224-4000000000000000000000000-224-4-22-2-222000000000000000000000000000000000000000000
χ8244-4-44-24-44-4-44-2-4-422400-24-2-2-2000022-4-4222222-24-2-2-2-442-2-440000000000000000000000002-2-442-222-2-2000000000000000000000000000000000000000000
χ8344-4-44-2-24-4224-2-4-422-200-2-21112i3−2i32i3−2i32222-1-1-1-1-1-1-2-21114-4-22-220000002i3−2i3−i3i3−i3−i3i3i3002i3−2i3−i3i3−i3−i3i3i3-22-221-111-1-1000000000000000000000000000000000000000000
χ8444-4-44-2-24-4224-2-4-422-200-2-2111−2i32i3−2i32i32222-1-1-1-1-1-1-2-21114-4-22-22000000−2i32i3i3−i3i3i3−i3−i300−2i32i3i3−i3i3i3−i3−i3-22-221-111-1-1000000000000000000000000000000000000000000
χ8544-4-44-2-2-44224-2-4-422-200-2-21112i3−2i3−2i32i32222-1-1-1-1-1-1-2-2111-442-22-20000002i3−2i3−i3i3−i3−i3i3i300−2i32i3i3−i3i3i3−i3−i32-22-2-11-1-111000000000000000000000000000000000000000000
χ8644-4-44-2-2-44224-2-4-422-200-2-2111−2i32i32i3−2i32222-1-1-1-1-1-1-2-2111-442-22-2000000−2i32i3i3−i3i3i3−i3−i3002i3−2i3−i3i3−i3−i3i3i32-22-2-11-1-111000000000000000000000000000000000000000000
χ8744-4-4-2444-4-4-4-2422-4-4400-2-24-2-200002222-4-42222-2-24-2-2-224-44-4000000000000000000000000-22-224-4-2-222000000000000000000000000000000000000000000
χ8844-4-4-244-44-4-4-2422-4-4400-2-24-2-200002222-4-42222-2-24-2-22-2-44-440000000000000000000000002-22-2-4422-2-2000000000000000000000000000000000000000000
χ8944-4-4-24-24-422-2422-4-4-200-21-2112i3−2i32i3−2i322-1-122-1-1-1-1-21-211-224-4-22000000−i3i32i3−2i3−i3−i3i3i300−i3i32i3−2i3−i3−i3i3i3-221-1-2211-1-1000000000000000000000000000000000000000000
χ9044-4-4-24-24-422-2422-4-4-200-21-211−2i32i3−2i32i322-1-122-1-1-1-1-21-211-224-4-22000000i3−i3−2i32i3i3i3−i3−i300i3−i3−2i32i3i3i3−i3−i3-221-1-2211-1-1000000000000000000000000000000000000000000
χ9144-4-4-24-2-4422-2422-4-4-200-21-2112i3−2i3−2i32i322-1-122-1-1-1-1-21-2112-2-442-2000000−i3i32i3−2i3−i3−i3i3i300i3−i3−2i32i3i3i3−i3−i32-2-112-2-1-111000000000000000000000000000000000000000000
χ9244-4-4-24-2-4422-2422-4-4-200-21-211−2i32i32i3−2i322-1-122-1-1-1-1-21-2112-2-442-2000000i3−i3−2i32i3i3i3−i3−i300−i3i32i3−2i3−i3−i3i3i32-2-112-2-1-111000000000000000000000000000000000000000000
χ9344-4-4-2-244-4-4-4-2-222224001-2-2110000-1-12222-1-1-1-11-2-211-22-224-400003-300003-3-333-300003-3-331-1-22-2211-1-1000000000000000000000000000000000000000000
χ9444-4-4-2-244-4-4-4-2-222224001-2-2110000-1-12222-1-1-1-11-2-211-22-224-40000-330000-333-3-330000-333-31-1-22-2211-1-1000000000000000000000000000000000000000000
χ9544-4-4-2-24-44-4-4-2-222224001-2-2110000-1-12222-1-1-1-11-2-2112-22-2-4400003-300003-3-33-330000-333-3-112-22-2-1-111000000000000000000000000000000000000000000
χ9644-4-4-2-24-44-4-4-2-222224001-2-2110000-1-12222-1-1-1-11-2-2112-22-2-440000-330000-333-33-300003-3-33-112-22-2-1-111000000000000000000000000000000000000000000
χ9744-4-4-2-2-24-422-2-22222-200111−1+3i32−1−3i322i3−2i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-2200003-3−i3i3−i3i3−3+i323+i323−i32−3−i323-3−i3i3−i3i3−3+i323+i323−i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000
χ9844-4-4-2-2-24-422-2-22222-200111−1+3i32−1−3i32−2i32i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-22-220000-33i3−i3i3−i33−i32−3−i32−3+i323+i32-33i3−i3i3−i33−i32−3−i32−3+i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000000000000
χ9944-4-4-2-2-24-422-2-22222-200111−1−3i32−1+3i322i3−2i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-220000-33−i3i3−i3i33+i32−3+i32−3−i323−i32-33−i3i3−i3i33+i32−3+i32−3−i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000
χ10044-4-4-2-2-24-422-2-22222-200111−1−3i32−1+3i32−2i32i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-22-2200003-3i3−i3i3−i3−3−i323−i323+i32−3+i323-3i3−i3i3−i3−3−i323−i323+i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000000000000
χ10144-4-4-2-2-2-4422-2-22222-200111−1+3i32−1−3i322i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-200003-3−i3i3−i3i3−3+i323+i323−i32−3−i32-33i3−i3i3−i33−i32−3−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ10244-4-4-2-2-2-4422-2-22222-200111−1+3i32−1−3i32−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-22-20000-33i3−i3i3−i33−i32−3−i32−3+i323+i323-3−i3i3−i3i3−3+i323+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ10344-4-4-2-2-2-4422-2-22222-200111−1−3i32−1+3i322i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-20000-33−i3i3−i3i33+i32−3+i32−3−i323−i323-3i3−i3i3−i3−3−i323−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ10444-4-4-2-2-2-4422-2-22222-200111−1−3i32−1+3i32−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-22-200003-3i3−i3i3−i3−3−i323−i323+i32−3+i32-33−i3i3−i3i33+i32−3+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000000000000
χ1054-44-444-200-22-4-44-44-42004-2-2-2-200004-4-22-22-2-222-4222200000000000000000000000000000000000000004-44-40000000000-22-22000000000000000000000000
χ1064-44-444-200-22-4-44-44-42004-2-2-2-200004-4-22-22-2-222-422220000000000000000000000000000000000000000-44-4400000000002-22-2000000000000000000000000
χ1074-44-44-24004-4-424-4-22-400-24-2-2-20000-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000004-400000000000000000000-22000000
χ1084-44-44-24004-4-424-4-22-400-24-2-2-20000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000000-44000000000000000000002-2000000
χ1094-44-4-244004-42-4-224-4-400-2-24-2-20000-22-224-4-2-22222-4220000000000000000000000000000000000000000000000004-400000000000000000000-220000000000
χ1104-44-4-244004-42-4-224-4-400-2-24-2-20000-22-224-4-2-22222-422000000000000000000000000000000000000000000000000-44000000000000000000002-20000000000
χ1114-4-4444-2002-2-4-4-44-442004-2-2-2-20000-442-22-222-2-2-4222200000000000000000000000000000000000000004-4-440000000000-222-2000000000000000000000000
χ1124-4-4444-2002-2-4-4-44-442004-2-2-2-20000-442-22-222-2-2-422220000000000000000000000000000000000000000-444-400000000002-2-22000000000000000000000000
χ1134-4-444-2400-44-42-442-2-400-24-2-2-200002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000004-400000000000000000000-2200000000
χ1144-4-444-2400-44-42-442-2-400-24-2-2-200002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000-44000000000000000000002-200000000
χ1154-4-44-24400-442-42-2-44-400-2-24-2-200002-22-2-4422-2-222-42200000000000000000000000000000000000000000000004-400000000000000000000-22000000000000
χ1164-4-44-24400-442-42-2-44-400-2-24-2-200002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000-44000000000000000000002-2000000000000
χ1178-88-88-4-400-44-848-8-44400-4-42220000-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-88-8-48-400-444-8-448-8400-42-4220000-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-88-8-4-48008-844-44-44-8002-4-42200002-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-88-8-4-4-400-4444-44-44400222−1+3i3−1−3i300002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1218-88-8-4-4-400-4444-44-44400222−1−3i3−1+3i300002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1228-8-888-4-4004-4-84-884-4400-4-422200004-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1238-8-88-48-4004-44-84-4-88400-42-42200004-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1248-8-88-4-4800-88444-44-4-8002-4-4220000-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1258-8-88-4-4-4004-4444-44-4400222−1+3i3−1−3i30000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4004-4444-44-4400222−1−3i3−1+3i30000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000000000

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