Finite Group Databasebeta

← Group #13178719

Character table — Group #13178719

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size11112222222222222244444444444444444444444444444444888888888888888888888888888888888899991818181818181818181818181818363636363636363636363636363636363636363672727272
order1222333446666666663333344666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212121244442244444444121212124444446612121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ711111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-11111-1-111
χ811111111111111111111111-1-111111111111111111-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1
χ91111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111-11-11-11111-1-1-1-1-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-111-1-11-1-1-1-11111-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-111-111-1-111-1-111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-111-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-11-1-111-1-11111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-11111-11-11-111111-1-1-1-1-1-1-1-111-11-11
χ141111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-11111111-1-111-1-1-1-1-11111-1-1-1-1111-11-1
χ151111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11-11-1-1111-1-111-1-11111-1-1-111-1
χ161111111-1-111111111111111-11111111111111111-1-1-1-111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11-1-1-111-1-1111111-1-11-1-11
χ17222222-122-12222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022002200000000000022-1-10000-1-1000000-1-100
χ18222222-122-12222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-1222222-1-122-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-200-2-2000000000000-2-2110000110000001100
χ19222222-122-12222-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-2-1-12211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000220022000000000000-2-2-1-10000-1-10000001100
χ20222222-122-12222-1-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-2-2-2-2-1-12211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110000-2-200-2-20000000000002211000011000000-1-100
χ21222222-1-2-2-12222-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-211-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100002200-2-20000000000002-2-1-1000011000000-1100
χ22222222-1-2-2-12222-1-1222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-222-2-211-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-2111111110000-2-20022000000000000-22110000-1-10000001-100
χ23222222-1-2-2-12222-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22211-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100002200-2-2000000000000-22-1-10000110000001-100
χ24222222-1-2-2-12222-1-1222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2-22211-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-10000-2-200220000000000002-2110000-1-1000000-1100
χ2522222-1222222-1-122-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000022000022000022000000-1-1-1-10000000000-1-1
χ2622222-1222222-1-122-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000-2-20000-2-20000-2-20000001111000000000011
χ2722222-1222222-1-122-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-222-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000220000220000-2-2000000-1-1-1-1000000000011
χ2822222-1222222-1-122-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-122-2-2-2-222-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-2111111000000-2-20000-2-200002200000011110000000000-1-1
χ2922222-12-2-2222-1-122-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-2-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000220000-2-200002-2000000-1-1110000000000-11
χ3022222-12-2-2222-1-122-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-222-2-2-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-2111111000000-2-20000220000-2200000011-1-100000000001-1
χ3122222-12-2-2222-1-122-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000220000-2-20000-22000000-1-11100000000001-1
χ3222222-12-2-2222-1-122-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-1000000-2-200002200002-200000011-1-10000000000-11
χ332222-122222-1-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122220000002200-1-1-1-100220000000000-1-1-1-1-1-10000
χ342222-122222-1-122222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-122222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2000000-2-200111100-2-200000000001111110000
χ352222-122222-1-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-2111122220000002200-1-1-1-100-2-20000000000-1-111110000
χ362222-122222-1-122222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-111112222-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-2000000-2-20011110022000000000011-1-1-1-10000
χ372222-122-2-22-1-122222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-211112222000000-2-200-1-1-1-1002-2000000000011-1-1110000
χ382222-122-2-22-1-122222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-1-111-2-2-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2-2-20000002200111100-220000000000-1-111-1-10000
χ392222-122-2-22-1-122222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-12222000000-2-200-1-1-1-100-2200000000001111-1-10000
χ402222-122-2-22-1-122222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-11111-1-1-2-2-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2-2-200000022001111002-20000000000-1-1-1-1110000
χ4122-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-22-22-200000022-2-20000002-22-200000000000000
χ4222-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000022-2-2-22-2200000022-2-2000000-22-2200000000000000
χ4322-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-2222-2-22000000-2-2220000002-2-2200000000000000
χ4422-2-2222002-222-2-2-2-2-222222002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000000-2-222-222-2000000-2-222000000-222-200000000000000
χ452-22-22222-2-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-2000000000000000000002i−2i2i−2i0000002i−2i002i−2i2i−2i000000000000002i−2i00000000
χ462-22-22222-2-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-2222222-200002-22-200002-22-22-222-2-200000000000000000000−2i2i−2i2i000000−2i2i00−2i2i−2i2i00000000000000−2i2i00000000
χ472-22-2222-22-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-222000000000000000000002i−2i2i−2i000000−2i2i002i−2i2i−2i00000000000000−2i2i00000000
χ482-22-2222-22-22-2-2-22-22-22222200-2-2-2-2-2-2-2-2-2-222222-220000-22-220000-22-22-22-2-22200000000000000000000−2i2i−2i2i0000002i−2i00−2i2i−2i2i000000000000002i−2i00000000
χ492-22-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i32i−2i2i−2i0000002i−2i00−ii−ii00000000000000−ii3−33−30000
χ502-22-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11−i3i3−i3i32-22-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3−2i2i−2i2i000000−2i2i00i−ii−i00000000000000i−i−33−330000
χ512-22-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i32i−2i2i−2i0000002i−2i00−ii−ii00000000000000−ii−33−330000
χ522-22-2-1222-2-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-1-11i3−i3i3−i32-22-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i000000−2i2i00i−ii−i00000000000000i−i3−33−30000
χ532-22-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i32i−2i2i−2i000000−2i2i00−ii−ii00000000000000i−i3−3−330000
χ542-22-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1−i3i3i3−i3-22-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i3−2i2i−2i2i0000002i−2i00i−ii−i00000000000000−ii−333−30000
χ552-22-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i32i−2i2i−2i000000−2i2i00−ii−ii00000000000000i−i−333−30000
χ562-22-2-122-22-2-11-2-22-221-1-12-1-1001111-2-21111-1-12-1-11-1i3−i3−i3i3-22-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i3−2i2i−2i2i0000002i−2i00i−ii−i00000000000000−ii3−3−330000
χ572-2-2222200-2-2-2-22-22-222222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i00002i−2i002-22i−2i−2i2i00000000002-22i−2i0000000000
χ582-2-2222200-2-2-2-22-22-222222200-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000−2i2i00-222i−2i−2i2i0000000000-22−2i2i0000000000
χ592-2-2222200-2-2-2-22-22-222222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i00002i−2i00-22−2i2i2i−2i0000000000-222i−2i0000000000
χ602-2-2222200-2-2-2-22-22-222222200-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000−2i2i002-2−2i2i2i−2i00000000002-2−2i2i0000000000
χ6144444-2-244-244-2-2-2-2-24-2-211144-2-2-2-2111111-2-2111444444-2-2-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000000000
χ6244444-2-244-244-2-2-2-2-24-2-2111-4-4-2-2-2-2111111-2-211144-4-4-4-4-2-2-2-22222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6344444-2-2-4-4-244-2-2-2-2-24-2-21114-4-2-2-2-2111111-2-2111-4-444-4-42222-22-222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000000000
χ6444444-2-2-4-4-244-2-2-2-2-24-2-2111-44-2-2-2-2111111-2-2111-4-4-4-44422222-22-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000000000
χ654444-24-244-2-2-244-2-24-2-21-21144-2-211-2-21111-21-211-2-2-2-2-2-2-2-244-2-244-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000000000
χ664444-24-244-2-2-244-2-24-2-21-211-4-4-2-211-2-21111-21-211-2-22222-2-24422-4-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ674444-24-2-4-4-2-2-244-2-24-2-21-2114-4-2-211-2-21111-21-21122-2-22222-4-4-224-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000000000
χ684444-24-2-4-4-2-2-244-2-24-2-21-211-44-2-211-2-21111-21-2112222-2-222-4-42-2-4422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000000000
χ694444-2-24444-2-2-2-244-2-21-2-2114411-2-2-2-211111-2-211-2-2-2-2-2-244-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000000000
χ704444-2-24444-2-2-2-244-2-21-2-211-4-411-2-2-2-211111-2-211-2-2222244-2-2-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ714444-2-24-4-44-2-2-2-244-2-21-2-2114-411-2-2-2-211111-2-21122-2-222-4-4224-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000000000
χ724444-2-24-4-44-2-2-2-244-2-21-2-211-4411-2-2-2-211111-2-2112222-2-2-4-422-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000000000
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+3i32-2-22222-2-2-2-22222111111−1−3i32−1+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+3i32−1−3i32-2-22222-2-2-2-22222111111−1+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+3i3222-2-2222222-22-22-1-1-1-1-1-11+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+3i322222-2-222222-22-2-1-1-1-1-1-11+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+3i32−1−3i3222-2-2222222-22-22-1-1-1-1-1-11−3i321+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+3i32−1−3i322222-2-222222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000000000
χ8144-4-444-200-2-444-422-4-44-2-2-2-2004-4-22-22-2-222-422220000000000000000000000000000000000000000000000004-4000000000000000000-220000000000000000
χ8244-4-444-200-2-444-422-4-44-2-2-2-2004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000-440000000000000000002-20000000000000000
χ8344-4-44-24004-44-22-4-42-4-24-2-2-200-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000004-4000000000000000000-2200000000000000
χ8444-4-44-24004-44-22-4-42-4-24-2-2-200-224-4-22-2-2222-422200000000000000000000000000000000000000000000000000-440000000000000000002-200000000000000
χ8544-4-4-2440042-24-4-4-4-42-2-24-2-200-22-224-4-2-22222-4220000000000000000000000000000000000000000000044-4-40000000000-2-222000000000000000000000000
χ8644-4-4-2440042-24-4-4-4-42-2-24-2-200-22-224-4-2-22222-42200000000000000000000000000000000000000000000-4-444000000000022-2-2000000000000000000000000
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χ904-44-44-24-44-44-4224-4-2-4-24-2-2-20022-4-4222222-24-2-2-2-440000-442-200002-2-442-222-2-200000000000000000000000000000000000000000000000000000000000000
χ914-44-44-2-24-424-422-22-2-4-2-2111002222-1-1-1-1-1-1-2-21114-40000-22-220000-22-221-111-1-100003-33-3-3300003-33-3-33000000000000000000000000000000000000000000
χ924-44-44-2-24-424-422-22-2-4-2-2111002222-1-1-1-1-1-1-2-21114-40000-22-220000-22-221-111-1-10000-33-333-30000-33-333-3000000000000000000000000000000000000000000
χ934-44-44-2-2-4424-422-22-2-4-2-2111002222-1-1-1-1-1-1-2-2111-4400002-22-200002-22-2-11-1-11100003-33-3-330000-33-333-3000000000000000000000000000000000000000000
χ944-44-44-2-2-4424-422-22-2-4-2-2111002222-1-1-1-1-1-1-2-2111-4400002-22-200002-22-2-11-1-1110000-33-333-300003-33-3-33000000000000000000000000000000000000000000
χ954-44-4-24-24-42-22-4-4-2242-21-2110022-1-122-1-1-1-1-21-211-22−2i32i3−2i32i3-224-40000-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000000
χ964-44-4-24-24-42-22-4-4-2242-21-2110022-1-122-1-1-1-1-21-211-222i3−2i32i3−2i3-224-40000-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000000
χ974-44-4-24-2-442-22-4-4-2242-21-2110022-1-122-1-1-1-1-21-2112-2−2i32i32i3−2i32-2-4400002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000000000
χ984-44-4-24-2-442-22-4-4-2242-21-2110022-1-122-1-1-1-1-21-2112-22i3−2i3−2i32i32-2-4400002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000000000
χ994-44-4-2-244-4-4-22224-4-221-2-21100-1-12222-1-1-1-11-2-211-22−2i32i3−2i32i34-4-2200001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000
χ1004-44-4-2-244-4-4-22224-4-221-2-21100-1-12222-1-1-1-11-2-211-222i3−2i32i3−2i34-4-2200001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000
χ1014-44-4-2-24-44-4-22224-4-221-2-21100-1-12222-1-1-1-11-2-2112-2−2i32i32i3−2i3-442-20000-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000000000
χ1024-44-4-2-24-44-4-22224-4-221-2-21100-1-12222-1-1-1-11-2-2112-22i3−2i3−2i32i3-442-20000-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000000000
χ1034-44-4-2-2-24-42-2222-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22−2i32i3−2i32i3-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ1044-44-4-2-2-24-42-2222-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-222i3−2i32i3−2i3-22-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ1054-44-4-2-2-24-42-2222-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22−2i32i3−2i32i3-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ1064-44-4-2-2-24-42-2222-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-222i3−2i32i3−2i3-22-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ1074-44-4-2-2-2-442-2222-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-2−2i32i32i3−2i32-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000000000
χ1084-44-4-2-2-2-442-2222-22-22111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22i3−2i3−2i32i32-22-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000000000
χ1094-44-4-2-2-2-442-2222-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-2−2i32i32i3−2i32-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000000000
χ1104-44-4-2-2-2-442-2222-22-22111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22i3−2i3−2i32i32-22-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000000000
χ1114-4-4444-2002-4-4-442-2-444-2-2-2-200-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000004i−4i00000000000000000000−2i2i0000000000
χ1124-4-4444-2002-4-4-442-2-444-2-2-2-200-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000−4i4i000000000000000000002i−2i0000000000
χ1134-4-444-2400-4-4-42-2-4424-24-2-2-2002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000004-400000000000000-22000000000000
χ1144-4-444-2400-4-4-42-2-4424-24-2-2-2002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000-44000000000000002-2000000000000
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χ1164-4-44-24400-422-44-44-4-2-2-24-2-2002-22-2-4422-2-222-42200000000000000000000000000000000000000000000−4i4i4i−4i00000000002i−2i−2i2i000000000000000000000000
χ11788-8-88-4-400-4-88-44444-8-4-422200-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11888-8-8-48-400-44-48-844-84-42-42200-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ12088-8-8-4-4-400-44-4-444444222−1−3i3−1+3i3002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12188-8-8-4-4-400-44-4-444444222−1+3i3−1−3i3002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-8-88-4-4-4004444-44-44-4222−1−3i3−1+3i300-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-4-4-4004444-44-44-4222−1+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).