Finite Group Databasebeta

← Group #13178730

Character table — Group #13178730

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order12223334466666666633333446666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444412121212222444444466121212121212121212121212661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111-1-11-1-11111111111-1-1-1-1-1-1-1-1
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-1-1-111-1-1111111-1-1
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-111
χ91111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111111-11-1-11-111-11111-1-1-1-1-1-111-1-11-11-1
χ101111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-11111-11-1111-1-1-11-1-1-1-11111-1-111-1-1-11-11
χ111111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-11-1-111-11-1-111-1-11111-1-1111-1-11
χ121111111-1-1111111111111111-1111111111111111-1-1-1-111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111-11-11-11-111-1-111-1-111-1-111-111-1
χ131111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111111-1-111-11-11-1-1-1-1-11111-1-1-1-1111-11-1
χ141111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-111-1-1-111-111111-1-1-1-1-1-1-1-111-11-11
χ151111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11-11-111-1-1-1111-1-111-1-11111-1-11-1-11
χ161111111-1-111111111111111-11111111111111111-1-1-1-1-1-111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-11-11-11-111-1-1-111-1-1111111-1-1-111-1
χ17222222-12222-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000220020020000-1-1-1-100000000-1-100
χ18222222-12222-12-1-12222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1222222-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100000000-2-200-200-200001111000000001100
χ19222222-12222-12-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-2-2-2-22211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-211111111000000002200-200-20000111100000000-1-100
χ20222222-12222-12-1-12222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-2-2-2-22211-2-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100000000-2-20020020000-1-1-1-1000000001100
χ21222222-1-2-222-12-1-12222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-21122-2-2-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-211111111000000002-200-20020000-1-11100000000-1100
χ22222222-1-2-222-12-1-12222-1-1-1-12-222-1-1-1-1-1-1-1-12-1-1-1-1-2-21122-2-2-2-2-112-2-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100000000-2200200-2000011-1-1000000001-100
χ23222222-1-2-222-12-1-12222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-222-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-1000000002-200200-2000011-1-100000000-1100
χ24222222-1-2-222-12-1-12222-1-1-1-1-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-222-2-21-1-22-2-211111111-2-21111111122-1-1-1-1-1-1-1-100000000-2200-20020000-1-111000000001-100
χ2522222-1222-122222-1-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000000000022000022-1-10000-1-100000000-1-1
χ2622222-1222-122222-1-12-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-122222222-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000-2-20000-2-2110000110000000011
χ2722222-1222-122222-1-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-2-2-2-2-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000220000-2-2-1-10000-1-10000000011
χ2822222-1222-122222-1-12-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12222-2-2-2-2-1-1-2-211-1-122-1-1-1-1-1-111-2-211111111-2-21111110000000000-2-20000221100001100000000-1-1
χ2922222-12-2-2-122222-1-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-211111100000000002-200002-2-1-100001100000000-11
χ3022222-12-2-2-122222-1-12-12-1-1-12-2-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-222-2-2112-2-1111-2-2111111-1-122-1-1-1-1-1-111-2-21111110000000000-220000-22110000-1-1000000001-1
χ3122222-12-2-2-122222-1-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-22211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-100000000002-20000-22-1-1000011000000001-1
χ3222222-12-2-2-122222-1-12-12-1-1-1-22-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-22211-221-111-2-211111111-2-2111111-1-122-1-1-1-1-1-10000000000-2200002-2110000-1-100000000-11
χ332222-122222-12-12222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1000002200000000000-1-1-1-1-1-10000
χ342222-122222-12-12222-1-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-1-122-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111100000-2-2000000000001111110000
χ352222-122222-12-12222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122111122-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-211112222-1-1-1-100000-2-200000000000-1-111110000
χ362222-122222-12-12222-1-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1-122111122-2-2-2-2-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-2-2-2111100000220000000000011-1-1-1-10000
χ372222-122-2-22-12-12222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-111-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-2111122-2-2-1-1-1-1000002-20000000000011-1-1110000
χ382222-122-2-22-12-12222-1-1-12-1-12-2-1-1-1-122-1-1-1-1-1-12-1-111-2-2-1-111-2-22-22-21111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-222111100000-2200000000000-1-111-1-10000
χ392222-122-2-22-12-12222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-111-2-211-1-1-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-122-2-2-1-1-1-100000-22000000000001111-1-10000
χ402222-122-2-22-12-12222-1-1-12-1-1-22-1-1-1-122-1-1-1-1-1-12-1-111-2-211-1-1-2-2-22-221111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-2221111000002-200000000000-1-1-1-1110000
χ4122-2-22222-2-222-2-2-22-2-22222200-2-2-2-2-2-2-2-2-2-2222222-22-200002-200002-22-22-222-2-2000000000000000000002i−2i2i−2i2i2i−2i−2i0000000000000000002i−2i00000000
χ4222-2-22222-2-222-2-2-22-2-22222200-2-2-2-2-2-2-2-2-2-2222222-22-200002-200002-22-22-222-2-200000000000000000000−2i2i−2i2i−2i−2i2i2i000000000000000000−2i2i00000000
χ4322-2-2222-22-222-2-2-22-2-22222200-2-2-2-2-2-2-2-2-2-222222-22-220000-220000-22-22-22-2-222000000000000000000002i−2i−2i2i2i2i−2i−2i000000000000000000−2i2i00000000
χ4422-2-2222-22-222-2-2-22-2-22222200-2-2-2-2-2-2-2-2-2-222222-22-220000-220000-22-22-22-2-22200000000000000000000−2i2i2i−2i−2i−2i2i2i0000000000000000002i−2i00000000
χ4522-2-2-1222-2-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-1-112-2−i3i3−i3i32-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i32i−2i2i−2i−i−iii000000000000000000−ii3−33−30000
χ4622-2-2-1222-2-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-1-112-2−i3i3−i3i32-20000-11-112-2-1-111−i3i3−i3i300−i3−i3i3i3−i3i3−i3i300−i3−i3i3i3−2i2i−2i2iii−i−i000000000000000000i−i−33−330000
χ4722-2-2-1222-2-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-1-112-2i3−i3i3−i32-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i32i−2i2i−2i−i−iii000000000000000000−ii−33−330000
χ4822-2-2-1222-2-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-1-112-2i3−i3i3−i32-20000-11-112-2-1-111i3−i3i3−i300i3i3−i3−i3i3−i3i3−i300i3i3−i3−i3−2i2i−2i2iii−i−i000000000000000000i−i3−33−30000
χ4922-2-2-122-22-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-11-1-22−i3i3i3−i3-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i32i−2i−2i2i−i−iii000000000000000000i−i3−3−330000
χ5022-2-2-122-22-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-11-1-22−i3i3i3−i3-2200001-11-1-2211-1-1−i3i3−i3i300−i3−i3i3i3i3−i3i3−i300i3i3−i3−i3−2i2i2i−2iii−i−i000000000000000000−ii−333−30000
χ5122-2-2-122-22-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-11-1-22i3−i3−i3i3-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i32i−2i−2i2i−i−iii000000000000000000i−i−333−30000
χ5222-2-2-122-22-2-121-2-22-21-1-12-1-1001111-2-21111-1-12-1-11-1-22i3−i3−i3i3-2200001-11-1-2211-1-1i3−i3i3−i300i3i3−i3−i3−i3i3−i3i300−i3−i3i3i3−2i2i2i−2iii−i−i000000000000000000−ii3−3−330000
χ5344444-2-244-24-24-2-2-2-24-2-211144-2-2-2-2111111-2-211144-2-24444-2-2-2-2-2-2-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000000
χ5444444-2-244-24-24-2-2-2-24-2-2111-4-4-2-2-2-2111111-2-211144-2-2-4-4-4-4-2-22222-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000000
χ5544444-2-2-4-4-24-24-2-2-2-24-2-21114-4-2-2-2-2111111-2-2111-4-42244-4-422-22-222222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-4-24-24-2-2-2-24-2-2111-44-2-2-2-2111111-2-2111-4-422-4-444222-22-22222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000000
χ574444-24-2444-2-2-2-2-244-2-21-21144-2-211-2-21111-21-211-2-2-2-2-2-2-2-244-2-244-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000000
χ584444-24-2444-2-2-2-2-244-2-21-211-4-4-2-211-2-21111-21-211-2-2-2-222224422-4-4-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000000
χ594444-24-2-4-44-2-2-2-2-244-2-21-2114-4-2-211-2-21111-21-2112222-2-222-4-4-224-422-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000000
χ604444-24-2-4-44-2-2-2-2-244-2-21-211-44-2-211-2-21111-21-211222222-2-2-4-42-2-4422-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000000
χ614444-2-2444-2-24-244-2-2-21-2-2114411-2-2-2-211111-2-211-2-244-2-2-2-2-2-244-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000000
χ624444-2-2444-2-24-244-2-2-21-2-211-4-411-2-2-2-211111-2-211-2-2442222-2-2-4-42211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000000
χ634444-2-24-4-4-2-24-244-2-2-21-2-2114-411-2-2-2-211111-2-21122-4-4-2-222224-4-22-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000000
χ644444-2-24-4-4-2-24-244-2-2-21-2-211-4411-2-2-2-211111-2-21122-4-422-2-222-442-2-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000000
χ654444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+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+3i32000000000000000000000000000000000000
χ664444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1+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+3i32−1−3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111111−1+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+3i32000000000000000000000000000000000000
χ694444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222-2-22222-22-22-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000000
χ704444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222-2-2222-22-2-1-1-1-1-1-11+3i321−3i321+3i321−3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222-2-22222-22-22-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32222222-2-2222-22-2-1-1-1-1-1-11−3i321+3i321−3i321+3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000000
χ7344-4-444-24-4-44-2-4224-4-44-2-2-2-200-4-4222222224-2-2-2-24-4-2200004-400004-4-22-22-2-22200000000000000000000000000000000000000000000000000000000
χ7444-4-444-2-44-44-2-4224-4-44-2-2-2-200-4-4222222224-2-2-2-2-442-20000-440000-442-22-222-2-200000000000000000000000000000000000000000000000000000000
χ7544-4-44-244-4244-4-4-4-22-4-24-2-2-20022-4-4222222-24-2-2-24-44-40000-220000-224-4-22-2-22200000000000000000000000000000000000000000000000000000000
χ7644-4-44-24-44244-4-4-4-22-4-24-2-2-20022-4-4222222-24-2-2-2-44-4400002-200002-2-442-222-2-200000000000000000000000000000000000000000000000000000000
χ7744-4-44-2-24-424-2-422-22-4-2-2111002222-1-1-1-1-1-1-2-21114-4-220000-220000-22-221-111-1-100003-33-3-3300003-33-3-33000000000000000000000000000000000000
χ7844-4-44-2-24-424-2-422-22-4-2-2111002222-1-1-1-1-1-1-2-21114-4-220000-220000-22-221-111-1-10000-33-333-30000-33-333-3000000000000000000000000000000000000
χ7944-4-44-2-2-4424-2-422-22-4-2-2111002222-1-1-1-1-1-1-2-2111-442-200002-200002-22-2-11-1-11100003-33-3-330000-33-333-3000000000000000000000000000000000000
χ8044-4-44-2-2-4424-2-422-22-4-2-2111002222-1-1-1-1-1-1-2-2111-442-200002-200002-22-2-11-1-1110000-33-333-300003-33-3-33000000000000000000000000000000000000
χ8144-4-4-24-24-4-4-2-22224-42-21-2110022-1-122-1-1-1-1-21-211-22-22−2i32i3−2i32i34-40000-221-1-2211-1-1−2i32i3i3−i300i3i3−i3−i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000
χ8244-4-4-24-24-4-4-2-22224-42-21-2110022-1-122-1-1-1-1-21-211-22-222i3−2i32i3−2i34-40000-221-1-2211-1-12i3−2i3−i3i300−i3−i3i3i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000
χ8344-4-4-24-2-44-4-2-22224-42-21-2110022-1-122-1-1-1-1-21-2112-22-2−2i32i32i3−2i3-4400002-2-112-2-1-111−2i32i3i3−i300i3i3−i3−i32i3−2i3−i3i300−i3−i3i3i3000000000000000000000000000000000000
χ8444-4-4-24-2-44-4-2-22224-42-21-2110022-1-122-1-1-1-1-21-2112-22-22i3−2i3−2i32i3-4400002-2-112-2-1-1112i3−2i3−i3i300−i3−i3i3i3−2i32i3i3−i300i3i3−i3−i3000000000000000000000000000000000000
χ8544-4-4-2-244-42-242-4-4-2221-2-21100-1-12222-1-1-1-11-2-211-224-4−2i32i3−2i32i3-2200001-1-22-2211-1-1i3−i3−2i32i300i3i3−i3−i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ8644-4-4-2-244-42-242-4-4-2221-2-21100-1-12222-1-1-1-11-2-211-224-42i3−2i32i3−2i3-2200001-1-22-2211-1-1−i3i32i3−2i300−i3−i3i3i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ8744-4-4-2-24-442-242-4-4-2221-2-21100-1-12222-1-1-1-11-2-2112-2-44−2i32i32i3−2i32-20000-112-22-2-1-111i3−i3−2i32i300i3i3−i3−i3−i3i32i3−2i300−i3−i3i3i3000000000000000000000000000000000000
χ8844-4-4-2-24-442-242-4-4-2221-2-21100-1-12222-1-1-1-11-2-2112-2-442i3−2i3−2i32i32-20000-112-22-2-1-111−i3i32i3−2i300−i3−i3i3i3i3−i3−2i32i300i3i3−i3−i3000000000000000000000000000000000000
χ8944-4-4-2-2-24-42-2-2222-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-22−2i32i3−2i32i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ9044-4-4-2-2-24-42-2-2222-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222i3−2i32i3−2i3-2200001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000
χ9144-4-4-2-2-24-42-2-2222-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-22−2i32i3−2i32i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ9244-4-4-2-2-24-42-2-2222-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222i3−2i32i3−2i3-2200001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ9344-4-4-2-2-2-442-2-2222-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2−2i32i32i3−2i32-20000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32000000000000000000000000000000000000
χ9444-4-4-2-2-2-442-2-2222-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-22i3−2i3−2i32i32-20000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3-333+i32−3+i32−3−i323−i32i3−i3i3−i33-3−3−i323−i323+i32−3+i32000000000000000000000000000000000000
χ9544-4-4-2-2-2-442-2-2222-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2−2i32i32i3−2i32-20000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32000000000000000000000000000000000000
χ9644-4-4-2-2-2-442-2-2222-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-22i3−2i3−2i32i32-20000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i33-3−3+i323+i323−i32−3−i32i3−i3i3−i3-333−i32−3−i32−3+i323+i32000000000000000000000000000000000000
χ974-44-4444004-4-444-4-4-4-444444004-44-44-44-44-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-44-444-2004-424-22-4-4-44-2-2-2-2004-4-22-22-22-22-42222000000000000000000000000000000000000000000000000000000000000000023−2300000000000000
χ994-44-444-2004-424-22-4-4-44-2-2-2-2004-4-22-22-22-22-422220000000000000000000000000000000000000000000000000000000000000000−232300000000000000
χ1004-44-44-2400-2-4-444-422-4-24-2-2-200-224-4-22-22-222-422200000000000000000000000000000000000000000000000000000000000000−2i32i30000000000000000
χ1014-44-44-2400-2-4-444-422-4-24-2-2-200-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000000002i3−2i30000000000000000
χ1024-44-4-2440042-4-24-4-4-42-2-24-2-200-22-224-4-22-2222-422000000000000000000000000000000000000000000000000−2i32i3−2i32i30000000000000000000000000000
χ1034-44-4-2440042-4-24-4-4-42-2-24-2-200-22-224-4-22-2222-4220000000000000000000000000000000000000000000000002i3−2i32i3−2i30000000000000000000000000000
χ1044-4-4444400-4-4-4-4-44-4444444400-44-44-44-44-44-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-200-4-42-42-2-4444-2-2-2-200-442-22-22-22-2-4222200000000000000000000000000000000000000000000000000000000000000000023−23000000000000
χ1064-4-4444-200-4-42-42-2-4444-2-2-2-200-442-22-22-22-2-42222000000000000000000000000000000000000000000000000000000000000000000−2323000000000000
χ1074-4-444-24002-4-4-4-442-24-24-2-2-2002-2-442-22-22-22-42220000000000000000000000000000000000000000000000000000000000000000000023−230000000000
χ1084-4-444-24002-4-4-4-442-24-24-2-2-2002-2-442-22-22-22-422200000000000000000000000000000000000000000000000000000000000000000000−23230000000000
χ1094-4-44-24400-42-42-44-44-2-2-24-2-2002-22-2-442-22-222-42200000000000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ1104-4-44-24400-42-42-44-44-2-2-24-2-2002-22-2-442-22-222-422000000000000000000000000000000000000000000000000−232323−230000000000000000000000000000
χ1118-88-88-4-400-4-848-4444-8-4-422200-44-442-22-22-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-48-400844-4-44-8-84-42-42200-442-2-442-22-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4800-44-8-48-84442-4-422002-2-44-442-22-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-400-444-4-44444222−1−3i3−1+3i3002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-88-8-4-4-400-444-4-44444222−1+3i3−1−3i3002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-4-4004-84-84-44-48-4-4222004-44-4-22-22-2244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-400-84444-4-88-4-42-422004-4-224-4-22-224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-4-480044-84-884-4-42-4-42200-224-44-4-22-22-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-40044444-44-4-4222−1−3i3−1+3i300-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-40044444-44-4-4222−1+3i3−1−3i300-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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