Finite Group Databasebeta

← Group #13178656

Character table — Group #13178656

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818181818181818363636363636363636363636363636363636727272727272
order1222333666666666223333346666666666666666666121266666666666666666666666612121212121212121212121222222222444422444466666666121212126612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ511111111111111111-111111-111-1-1111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-11-1-1-11-1111111-1-111-1-11-1-1-11-1
χ611111111111111111-111111-111-1-1111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11-1-1-111111-1-111-1-111-11-1-1-11
χ711111111111111111-111111-111-1-1111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11111-1-1-1-1-111-1-1-1-111-11111-1
χ811111111111111111-111111-111-1-1111111111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111-11-1-1-1-1-1-11111-1-11-111-11
χ91111111111111111-1111111-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-111-1-1-111-1-1111111-1-1-111-1-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-11-11111-1-1-1-1-1-1-1-1111-11-111
χ111111111111111111-1111111-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-11-1-1-1-1111111-1-1111-1-11-1-1
χ121111111111111111-1111111-1-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1111-1-111-1-1-1-111-1-1-11-1111
χ131111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-11111-1-1-11-1111-1-111-1-11111-1-1-11-11
χ141111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-111-111-111-1-1-1-111-1-1-1-111-111-1
χ151111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1111-1-11
χ161111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1111111-1-11-11-1-1-111-1-1111111-1-11-11-1
χ17222222-122-12222-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000222222000000000000-1-1-1-1-1-10000
χ18222222-122-12222-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-12-12-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000-2-2-2-2-2-20000000000001111110000
χ19222222-122-12222-1-12-22-1-1-1-1-222-2-222-1-1-1-1-1-1-1-12-1-1-1-1112-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-2111111110000000022-2-22-2000000000000-1-111-110000
χ20222222-122-12222-1-12-22-1-1-1-1-222-2-222-1-1-1-1-1-1-1-12-1-1-1-1112-1-2122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-21111111100000000-2-222-2200000000000011-1-11-10000
χ21222222-122-12222-1-1-222-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-111-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111110000000022-2-2-22000000000000-1-1111-10000
χ22222222-122-12222-1-1-222-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-111-212-1-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-21111111100000000-2-2222-200000000000011-1-1-110000
χ23222222-122-12222-1-1-2-22-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-21-21-2-211111111-2-2111111112222-1-1-1-1-1-1-1-1000000002222-2-2000000000000-1-1-1-1110000
χ24222222-122-12222-1-1-2-22-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-21-21-2-211111111-2-2111111112222-1-1-1-1-1-1-1-100000000-2-2-2-2220000000000001111-1-10000
χ2522222-122-1222-1-12222-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000222200000000220000-1-1-1-100000000-1-1
χ2622222-122-1222-1-12222-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-12-1-1-122-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-12-1-1-122-1-1-1-1-1-10000-2-2-2-200000000-2-2000011110000000011
χ2722222-122-1222-1-1222-2-12-1-1-1-22211-1-122-1-1-1-1-1-1-12-1-1-1-2-2-12-2-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-2111111000022-2-2000000002-20000-1-11100000000-11
χ2822222-122-1222-1-1222-2-12-1-1-1-22211-1-122-1-1-1-1-1-1-12-1-1-1-2-2-12-2-2-1-122-1-1-1-1-1-111-2-2111111-2111-2-21111110000-2-22200000000-22000011-1-1000000001-1
χ2922222-122-1222-1-122-22-12-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-21-22211-2-2111111-1-122-1-1-1-1-1-1-2111-2-21111110000222200000000-2-20000-1-1-1-10000000011
χ3022222-122-1222-1-122-22-12-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-21-22211-2-2111111-1-122-1-1-1-1-1-1-2111-2-21111110000-2-2-2-200000000220000111100000000-1-1
χ3122222-122-1222-1-122-2-2-12-1-1-12-2-211-1-122-1-1-1-1-1-1-12-1-1-1221-2-2-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-1000022-2-200000000-220000-1-111000000001-1
χ3222222-122-1222-1-122-2-2-12-1-1-12-2-211-1-122-1-1-1-1-1-1-12-1-1-1221-2-2-211-2-211111111-2-21111112-1-1-122-1-1-1-1-1-10000-2-222000000002-2000011-1-100000000-11
χ332222-122-122-1-1222222-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1222200000000002200-1-1-1-10000000000-1-100
χ342222-122-122-1-1222222-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-12222-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-12-1-1-1-122-1-1-1-1-2-2-2-20000000000-2-200111100000000001100
χ352222-122-122-1-122222-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2221-2-1-1-1-122-1-1-1-11111-2-211111-21111-2-2111122220000000000-2-200-1-1-1-100000000001100
χ362222-122-122-1-122222-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2221-2-1-1-1-122-1-1-1-11111-2-211111-21111-2-21111-2-2-2-20000000000220011110000000000-1-100
χ372222-122-122-1-12222-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-121111-2-21111-1-1-1-122-1-1-1-11-21111-2-2111122-2-200000000002-200-1-1110000000000-1100
χ382222-122-122-1-12222-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-121111-2-21111-1-1-1-122-1-1-1-11-21111-2-21111-2-2220000000000-220011-1-100000000001-100
χ392222-122-122-1-12222-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-21-21111-2-211111111-2-21111-12-1-1-1-122-1-1-1-122-2-20000000000-2200-1-11100000000001-100
χ402222-122-122-1-12222-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-21-21111-2-211111111-2-21111-12-1-1-1-122-1-1-1-1-2-22200000000002-20011-1-10000000000-1100
χ412-22-2222-2-2-22-22-22-20022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-2002-2002-2000000002-2002-2002-2000000
χ422-22-2222-2-2-22-22-22-20022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000002-200-2200-22000000002-200-2200-22000000
χ432-22-2222-2-2-22-22-22-20022222000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-22002-200-2200000000-22002-200-22000000
χ442-22-2222-2-2-22-22-22-20022222000002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000-2200-22002-200000000-2200-22002-2000000
χ452-2-22222-2-2-2-22-22-22002222200000-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000002-2002-2002-2000000002-2002-2002-200000000
χ462-2-22222-2-2-2-22-22-22002222200000-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000002-200-2200-22000000002-200-2200-2200000000
χ472-2-22222-2-2-2-22-22-22002222200000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000-22002-200-2200000000-22002-200-2200000000
χ482-2-22222-2-2-2-22-22-22002222200000-22-22-22-2-222-2-2-2-2-200000000000000000000000000000000000000-2200-22002-200000000-2200-22002-200000000
χ4944444-2-24-2-244-2-2-2-244-2-2111444-2-2-2-2-2-2111111-2-2111-2-2-2-24-2-2-2-2-2111111-2-2-2-21111114-2-2-2-2-2111111000000000000000000000000000000000000
χ5044444-2-24-2-244-2-2-2-24-4-2-2111-44422-2-2-2-2111111-2-211122-2-2-42-2-2-2-21111112222-1-1-1-1-1-1-422222-1-1-1-1-1-1000000000000000000000000000000000000
χ5144444-2-24-2-244-2-2-2-2-44-2-2111-4-4-4-2-2-2-2-2-2111111-2-211122224-22222-1-1-1-1-1-1-2-2-2-2111111-422222-1-1-1-1-1-1000000000000000000000000000000000000
χ5244444-2-24-2-244-2-2-2-2-4-4-2-21114-4-422-2-2-2-2111111-2-2111-2-222-422222-1-1-1-1-1-12222-1-1-1-1-1-14-2-2-2-2-2111111000000000000000000000000000000000000
χ534444-24-2-24-2-2-244-2-244-21-2114-2-244-2-211-2-21111-21-211-2-24-2-2-2-2-211-2-21111-2-211-2-21111-24-2-211-2-21111000000000000000000000000000000000000
χ544444-24-2-24-2-2-244-2-24-4-21-211-4-2-2-4-4-2-211-2-21111-21-211224-222-2-211-2-2111122-1-122-1-1-1-12-422-1-122-1-1-1-1000000000000000000000000000000000000
χ554444-24-2-24-2-2-244-2-2-44-21-211-42244-2-211-2-21111-21-21122-42-2-222-1-122-1-1-1-1-2-211-2-211112-422-1-122-1-1-1-1000000000000000000000000000000000000
χ564444-24-2-24-2-2-244-2-2-4-4-21-211422-4-4-2-211-2-21111-21-211-2-2-422222-1-122-1-1-1-122-1-122-1-1-1-1-24-2-211-2-21111000000000000000000000000000000000000
χ574444-2-24-2-24-2-2-2-244441-2-2114-2-2-2-211-2-2-2-211111-2-21144-24-2411-2-2-2-2111111-2-2-2-21111-2-211-2-2-2-21111000000000000000000000000000000000000
χ584444-2-24-2-24-2-2-2-2444-41-2-211-4-2-22211-2-2-2-211111-2-211-4-4-242-411-2-2-2-21111-1-12222-1-1-1-122-1-12222-1-1-1-1000000000000000000000000000000000000
χ594444-2-24-2-24-2-2-2-244-441-2-211-422-2-211-2-2-2-211111-2-211-4-42-4-24-1-12222-1-1-1-111-2-2-2-2111122-1-12222-1-1-1-1000000000000000000000000000000000000
χ604444-2-24-2-24-2-2-2-244-4-41-2-2114222211-2-2-2-211111-2-211442-42-4-1-12222-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-2-21111000000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-244111−1+3i32−1−3i324-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-244111−1−3i32−1+3i324-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-24-4111−1+3i32−1−3i32-4-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-222111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+3i32-4-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-222111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000000
χ654444-2-2-2-2-2-2-2-2-2-2-2-2-44111−1+3i32−1−3i32-422-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222-2-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000000
χ664444-2-2-2-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+3i32-422-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222-2-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000000
χ674444-2-2-2-2-2-2-2-2-2-2-2-2-4-4111−1+3i32−1−3i3242222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000000
χ684444-2-2-2-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+3i3242222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000000
χ6944-4-4444444-4-4-4-4-4-4004444400000-4-4-4-4-4-4-4-4-4-44444400000000000000000000000000000000000000000000000000000000000000000000000000
χ7044-4-444-244-2-4-4-4-422004-2-2-2-200000-4-4222222224-2-2-2-22i3−2i300000000000000000000000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000
χ7144-4-444-244-2-4-4-4-422004-2-2-2-200000-4-4222222224-2-2-2-2−2i32i30000000000000000000000000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000
χ7244-4-44-244-24-4-422-4-400-24-2-2-20002i3−2i322-4-4222222-24-2-2-200000000000000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000000
χ7344-4-44-244-24-4-422-4-400-24-2-2-2000−2i32i322-4-4222222-24-2-2-20000000000000000−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000000
χ7444-4-44-2-24-2-2-4-4222200-2-21110002i3−2i32222-1-1-1-1-1-1-2-21112i3−2i3000000003-33-33-32i3−2i300−i3i3−i3i3−i3i300002i3−2i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7544-4-44-2-24-2-2-4-4222200-2-21110002i3−2i32222-1-1-1-1-1-1-2-2111−2i32i300000000-33-33-332i3−2i300−i3i3−i3i3−i3i30000−2i32i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ7644-4-44-2-24-2-2-4-4222200-2-2111000−2i32i32222-1-1-1-1-1-1-2-21112i3−2i300000000-33-33-33−2i32i300i3−i3i3−i3i3−i300002i3−2i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7744-4-44-2-24-2-2-4-4222200-2-2111000−2i32i32222-1-1-1-1-1-1-2-2111−2i32i3000000003-33-33-3−2i32i300i3−i3i3−i3i3−i30000−2i32i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ7844-4-4-244-24422-4-4-4-400-2-24-2-202i3−2i3002222-4-42222-2-24-2-20000002i3−2i32i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ7944-4-4-244-24422-4-4-4-400-2-24-2-20−2i32i3002222-4-42222-2-24-2-2000000−2i32i3−2i32i300−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ8044-4-4-24-2-24-222-4-42200-21-21102i3−2i30022-1-122-1-1-1-1-21-2112i3−2i300002i3−2i3−i3i300−i3i3i3−i3003-3003-3-330000−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8144-4-4-24-2-24-222-4-42200-21-21102i3−2i30022-1-122-1-1-1-1-21-211−2i32i300002i3−2i3−i3i300−i3i3i3−i300-3300-333-30000i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ8244-4-4-24-2-24-222-4-42200-21-2110−2i32i30022-1-122-1-1-1-1-21-2112i3−2i30000−2i32i3i3−i300i3−i3−i3i300-3300-333-30000−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000000000
χ8344-4-4-24-2-24-222-4-42200-21-2110−2i32i30022-1-122-1-1-1-1-21-211−2i32i30000−2i32i3i3−i300i3−i3−i3i3003-3003-3-330000i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000000000
χ8444-4-4-2-24-2-242222-4-4001-2-21102i3−2i32i3−2i3-1-12222-1-1-1-11-2-211000000−i3i32i3−2i300−i3i3i3−i3−i3i3002i3−2i3−i3i3−i3i3003-300003-3-33000000000000000000000000000000000000
χ8544-4-4-2-24-2-242222-4-4001-2-21102i3−2i3−2i32i3-1-12222-1-1-1-11-2-211000000−i3i32i3−2i300−i3i3i3−i3i3−i300−2i32i3i3−i3i3−i300-330000-333-3000000000000000000000000000000000000
χ8644-4-4-2-24-2-242222-4-4001-2-2110−2i32i32i3−2i3-1-12222-1-1-1-11-2-211000000i3−i3−2i32i300i3−i3−i3i3−i3i3002i3−2i3−i3i3−i3i300-330000-333-3000000000000000000000000000000000000
χ8744-4-4-2-24-2-242222-4-4001-2-2110−2i32i3−2i32i3-1-12222-1-1-1-11-2-211000000i3−i3−2i32i300i3−i3−i3i3i3−i300−2i32i3i3−i3i3−i3003-300003-3-33000000000000000000000000000000000000
χ8844-4-4-2-2-2-2-2-222222200111−1+3i32−1−3i3202i3−2i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i30000−i3i3−i3i33-3−3+i323−i32−3−i323+i32−i3i33-3−i3i3−3+i323−i323+i32−3−i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000000
χ8944-4-4-2-2-2-2-2-222222200111−1+3i32−1−3i3202i3−2i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i30000−i3i3−i3i33-3−3+i323−i32−3−i323+i32i3−i3-33i3−i33−i32−3+i32−3−i323+i3200-33i3−i3i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000000
χ9044-4-4-2-2-2-2-2-222222200111−1+3i32−1−3i320−2i32i32i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i30000i3−i3i3−i3-333−i32−3+i323+i32−3−i32−i3i33-3−i3i3−3+i323−i323+i32−3−i3200-33i3−i3i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000000
χ9144-4-4-2-2-2-2-2-222222200111−1+3i32−1−3i320−2i32i3−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i30000i3−i3i3−i3-333−i32−3+i323+i32−3−i32i3−i3-33i3−i33−i32−3+i32−3−i323+i32003-3−i3i3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000000
χ9244-4-4-2-2-2-2-2-222222200111−1−3i32−1+3i3202i3−2i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i30000−i3i3−i3i3-333+i32−3−i323−i32−3+i32−i3i3-33−i3i33+i32−3−i32−3+i323−i32003-3i3−i3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000000
χ9344-4-4-2-2-2-2-2-222222200111−1−3i32−1+3i3202i3−2i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i30000−i3i3−i3i3-333+i32−3−i323−i32−3+i32i3−i33-3i3−i3−3−i323+i323−i32−3+i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000000
χ9444-4-4-2-2-2-2-2-222222200111−1−3i32−1+3i320−2i32i32i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i30000i3−i3i3−i33-3−3−i323+i32−3+i323−i32−i3i3-33−i3i33+i32−3−i32−3+i323−i3200-33−i3i3−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000000
χ9544-4-4-2-2-2-2-2-222222200111−1−3i32−1+3i320−2i32i3−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i30000i3−i3i3−i33-3−3−i323+i32−3+i323−i32i3−i33-3i3−i3−3−i323+i323−i32−3+i32003-3i3−i3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000000
χ964-44-444-2-4-424-44-4-22004-2-2-2-2000004-4-22-22-2-222-422220000000000000000000000000000000000000000000000004-40000000000000000-22000000
χ974-44-444-2-4-424-44-4-22004-2-2-2-2000004-4-22-22-2-222-42222000000000000000000000000000000000000000000000000-4400000000000000002-2000000
χ984-44-44-24-42-44-4-224-400-24-2-2-200000-224-4-22-2-2222-4222000000000000000000000000000000000000000000004-40000000000000000-220000000000
χ994-44-44-24-42-44-4-224-400-24-2-2-200000-224-4-22-2-2222-422200000000000000000000000000000000000000000000-4400000000000000002-20000000000
χ1004-44-4-2442-4-4-224-44-400-2-24-2-200000-22-224-4-2-22222-42200000000000000000000000000000000000000004-40000000000000000-2200000000000000
χ1014-44-4-2442-4-4-224-44-400-2-24-2-200000-22-224-4-2-22222-4220000000000000000000000000000000000000000-4400000000000000002-200000000000000
χ1024-4-4444-2-4-42-44-442-2004-2-2-2-200000-442-22-222-2-2-4222200000000000000000000000000000000000000000000004-40000000000000000-2200000000
χ1034-4-4444-2-4-42-44-442-2004-2-2-2-200000-442-22-222-2-2-422220000000000000000000000000000000000000000000000-4400000000000000002-200000000
χ1044-4-444-24-42-4-442-2-4400-24-2-2-2000002-2-442-222-2-22-42220000000000000000000000000000000000000000004-40000000000000000-22000000000000
χ1054-4-444-24-42-4-442-2-4400-24-2-2-2000002-2-442-222-2-22-4222000000000000000000000000000000000000000000-4400000000000000002-2000000000000
χ1064-4-44-2442-4-42-2-44-4400-2-24-2-2000002-22-2-4422-2-222-422000000000000000000000000000000000000004-40000000000000000-220000000000000000
χ1074-4-44-2442-4-42-2-44-4400-2-24-2-2000002-22-2-4422-2-222-42200000000000000000000000000000000000000-4400000000000000002-20000000000000000
χ1088-88-88-4-4-8448-8-44-4400-4-422200000-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-48-44-84-448-8-4400-42-42200000-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4844-8-44-448-8002-4-422000002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4444-44-44-4400222−1+3i3−1−3i3000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4444-44-44-4400222−1−3i3−1+3i3000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-888-4-4-844-884-44-400-4-4222000004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-48-44-844-4-884-400-42-422000004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1158-8-88-4-4844-84-44-4-88002-4-42200000-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-88-4-4-44444-44-44-400222−1+3i3−1−3i300000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-4-4-44444-44-44-400222−1−3i3−1+3i300000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000

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