Finite Group Databasebeta

← Group #13178624

Character table — Group #13178624

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666223333346666666666666666666121266666666666666666666666612121212121212121212121222444422224444466661212121212121212666121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-111-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-111-1-1-11-1-1-1-1-1-11111-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-111-1-1-11-1-1-1-1-1-1-1-111111-1-1-1-11
χ511111111111111111-111111-111-1-1111111111111111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-11111-1-111-1-11111-11-11-1-1
χ611111111111111111-111111-111-1-1111111111111111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-111-1-1-1-111-1-1-1-11-111-11
χ711111111111111111-111111-111-1-1111111111111111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1111-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ811111111111111111-111111-111-1-1111111111111111-1-1-111-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-111-11-1-111-1-1111111-1-11-11-1
χ91111111111111111-1111111-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111111-111-1-1-1-1-1111111-1-111-1-11-11-1-1-1
χ101111111111111111-1111111-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11-111111-1-111-1-111-11-1-1-11
χ111111111111111111-1111111-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-111-111-1-1-1-111-1-1-1-111-1-11111
χ121111111111111111-1111111-1-1-111111111111111111-1-11-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1111-1-1-1-1-1-1-11111-1-111-111-1
χ131111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-1-111-1-1111111-1-1-1-1-1-111
χ141111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1111-11-1-1111-1-1-1-1-1-1-1-111111-11-1
χ151111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11-1-11-1-1111-1-1111111-1-1111-1-11-1-1
χ161111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-11-1-11-1-1-111-1-1-1-111-1-1-1111-11
χ17222222-122-122-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000220002000000-1-1-1-100000-1-1000
χ18222222-122-122-1-122222-1-1-1-12222222-1-1-1-1-1-1-1-12-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-2000-2-2000-200000011110000011000
χ19222222-122-122-1-1222-22-1-1-1-1-222-2-222-1-1-1-1-1-1-1-12-1-1-1-111-22-1122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-21111111100220002-2000-2000000-1-11100000-11000
χ20222222-122-122-1-1222-22-1-1-1-1-222-2-222-1-1-1-1-1-1-1-12-1-1-1-111-22-1122-1-1-1-1-1-1-1-1-2-211111111-2-2-2-21111111100-2-2000-22000200000011-1-1000001-1000
χ21222222-122-122-1-122-222-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1112-21-1-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111110022000-22000-2000000-1-111000001-1000
χ22222222-122-122-1-122-222-1-1-1-1-2-2-22222-1-1-1-1-1-1-1-12-1-1-1-1112-21-1-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-20002-2000200000011-1-100000-11000
χ23222222-122-122-1-122-2-22-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-211-2-211111111-2-2111111112222-1-1-1-1-1-1-1-10022000-2-20002000000-1-1-1-10000011000
χ24222222-122-122-1-122-2-22-1-1-1-12-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-1-1-1-2-211-2-211111111-2-2111111112222-1-1-1-1-1-1-1-100-2-200022000-2000000111100000-1-1000
χ2522222-122-12-1-1222222-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1220000200002020-1-1-1-100000000000-1-10
χ2622222-122-12-1-1222222-12-1-1-1222-1-1-1-122-1-1-1-1-1-1-12-1-1-1222-122-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-12-1-122-1-1-1-1-1-1-2-20000-20000-20-20111100000000000110
χ2722222-122-12-1-122222-2-12-1-1-1-22211-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-12-2-1-122-1-1-1-1-1-111-2-21111111-211-2-2111111220000-20000-2020-1-11100000000000-110
χ2822222-122-12-1-122222-2-12-1-1-1-22211-1-122-1-1-1-1-1-1-12-1-1-1-2-2-2-12-2-1-122-1-1-1-1-1-111-2-21111111-211-2-2111111-2-200002000020-2011-1-1000000000001-10
χ2922222-122-12-1-12222-22-12-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-221-2211-2-2111111-1-122-1-1-1-1-1-11-211-2-211111122000020000-20-20-1-1-1-100000000000110
χ3022222-122-12-1-12222-22-12-1-1-1-2-2-2-1-1-1-122-1-1-1-1-1-1-12-1-1-1-2-221-2211-2-2111111-1-122-1-1-1-1-1-11-211-2-2111111-2-20000-200002020111100000000000-1-10
χ3122222-122-12-1-12222-2-2-12-1-1-12-2-211-1-122-1-1-1-1-1-1-12-1-1-122-21-2-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-1220000-2000020-20-1-111000000000001-10
χ3222222-122-12-1-12222-2-2-12-1-1-12-2-211-1-122-1-1-1-1-1-1-12-1-1-122-21-2-211-2-211111111-2-2111111-12-1-122-1-1-1-1-1-1-2-2000020000-202011-1-100000000000-110
χ332222-122-1222222-1-122-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-100002200022000200000000-1-1-1-1-10000-1
χ342222-122-1222222-1-122-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-122-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-10000-2-2000-2-2000-2000000001111100001
χ352222-122-1222222-1-12-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2122-2-1-1-1-122-1-1-1-11111-2-21111-211111-2-21111000022000-2-2000200000000-1-1-1-1100001
χ362222-122-1222222-1-12-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-2122-2-1-1-1-122-1-1-1-11111-2-21111-211111-2-211110000-2-200022000-2000000001111-10000-1
χ372222-122-1222222-1-1-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-2-221111-2-21111-1-1-1-122-1-1-1-1-211111-2-211110000220002-2000-200000000-1-111-100001
χ382222-122-1222222-1-1-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-1-2-221111-2-21111-1-1-1-122-1-1-1-1-211111-2-211110000-2-2000-2200020000000011-1-110000-1
χ392222-122-1222222-1-1-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-2-2-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-1000022000-22000-200000000-1-11110000-1
χ402222-122-1222222-1-1-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-1221-2-2-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-10000-2-20002-200020000000011-1-1-100001
χ412-2-22222-2-2-22-22-2-220022222000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-22-22-20000000002-2002-2002-200000000
χ422-2-22222-2-2-22-22-2-220022222000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002-2-22-220000000002-200-2200-2200000000
χ432-2-22222-2-2-22-22-2-220022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-222-2-22000000000-22002-200-2200000000
χ442-2-22222-2-2-22-22-2-220022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000-22-222-2000000000-2200-22002-200000000
χ4544444-2-24-2-2-2-2-2-24444-2-2111444-2-2-2-2-2-2111111-2-2111-2-24-2-2-2-2-2-2-2111111-2-2-2-2111111-24-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-24-2-2-2-2-2-2444-4-2-2111-44422-2-2-2-2111111-2-211122-4-2-22-2-2-2-21111112222-1-1-1-1-1-12-42222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-24-2-2-2-2-2-244-44-2-2111-4-4-4-2-2-2-2-2-2111111-2-211122422-22222-1-1-1-1-1-1-2-2-2-21111112-42222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-24-2-2-2-2-2-244-4-4-2-21114-4-422-2-2-2-2111111-2-2111-2-2-42222222-1-1-1-1-1-12222-1-1-1-1-1-1-24-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-24-244-2-2-2-244-21-2114-2-244-2-211-2-21111-21-211-2-2-24-2-2-2-211-2-21111-2-211-2-211114-2-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-24-244-2-2-2-24-4-21-211-4-2-2-4-4-2-211-2-21111-21-2112224-22-2-211-2-2111122-1-122-1-1-1-1-4222-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-24-244-2-2-2-2-44-21-211-42244-2-211-2-21111-21-21122-2-42-222-1-122-1-1-1-1-2-211-2-21111-4222-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-24-244-2-2-2-2-4-4-21-211422-4-4-2-211-2-21111-21-211-2-22-42222-1-122-1-1-1-122-1-122-1-1-1-14-2-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-2-24-2-244-2-2441-2-2114-2-2-2-211-2-2-2-211111-2-21144-2-24411-2-2-2-2111111-2-2-2-21111-2-211-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-2-24-2-244-2-24-41-2-211-4-2-22211-2-2-2-211111-2-211-4-42-24-411-2-2-2-21111-1-12222-1-1-1-122-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-2-24-2-244-2-2-441-2-211-422-2-211-2-2-2-211111-2-211-4-4-22-44-1-12222-1-1-1-111-2-2-2-2111122-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-2-24-2-244-2-2-4-41-2-2114222211-2-2-2-211111-2-2114422-4-4-1-12222-1-1-1-1-1-12222-1-1-1-1-2-211-2-2-2-21111000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-244111−1−3i32−1+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+3i32000000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-244111−1+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+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-24-4111−1−3i32−1+3i32-4-2-222111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222-2-22111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-24-4111−1+3i32−1−3i32-4-2-222111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222-2-22111111−1+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+3i32000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-2-44111−1−3i32−1+3i32-422-2-2111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-222-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i3222-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-2-44111−1+3i32−1−3i32-422-2-2111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-222-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i3222-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-2-4-4111−1−3i32−1+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+3i32000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-2-4-4111−1+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+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ6544-4-4444-444-4-4-4-44-4004444400000-4-4-4-4-4-4-4-4-4-44444400000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-44-2-4-4224-4004-2-2-2-200000-4-4222222224-2-2-2-2−2i32i30000000000000000000000000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000
χ6744-4-444-2-44-2-4-4224-4004-2-2-2-200000-4-4222222224-2-2-2-22i3−2i300000000000000000000000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000
χ6844-4-44-24-4-2422-4-44-400-24-2-2-2000−2i32i322-4-4222222-24-2-2-20000000000000000−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000
χ6944-4-44-24-4-2422-4-44-400-24-2-2-20002i3−2i322-4-4222222-24-2-2-200000000000000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000
χ7044-4-44-2-2-4-2-222224-400-2-2111000−2i32i32222-1-1-1-1-1-1-2-2111−2i32i3000000003-33-33-3−2i32i300i3−i3i3−i3i3−i30000−2i32i3i3−i3i3−i3i3−i3000000000000000000000000000000000
χ7144-4-44-2-2-4-2-222224-400-2-2111000−2i32i32222-1-1-1-1-1-1-2-21112i3−2i300000000-33-33-33−2i32i300i3−i3i3−i3i3−i300002i3−2i3−i3i3−i3i3−i3i3000000000000000000000000000000000
χ7244-4-44-2-2-4-2-222224-400-2-21110002i3−2i32222-1-1-1-1-1-1-2-2111−2i32i300000000-33-33-332i3−2i300−i3i3−i3i3−i3i30000−2i32i3i3−i3i3−i3i3−i3000000000000000000000000000000000
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χ7444-4-4-244244-4-4-4-4-2200-2-24-2-20−2i32i3002222-4-42222-2-24-2-2000000−2i32i3−2i32i300−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000
χ7544-4-4-244244-4-4-4-4-2200-2-24-2-202i3−2i3002222-4-42222-2-24-2-20000002i3−2i32i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000
χ7644-4-4-24-224-2-4-422-2200-21-2110−2i32i30022-1-122-1-1-1-1-21-211−2i32i30000−2i32i3i3−i300i3−i3−i3i3003-3003-3-330000i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ7744-4-4-24-224-2-4-422-2200-21-2110−2i32i30022-1-122-1-1-1-1-21-2112i3−2i30000−2i32i3i3−i300i3−i3−i3i300-3300-333-30000−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ7844-4-4-24-224-2-4-422-2200-21-21102i3−2i30022-1-122-1-1-1-1-21-211−2i32i300002i3−2i3−i3i300−i3i3i3−i300-3300-333-30000i3−i3−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ7944-4-4-24-224-2-4-422-2200-21-21102i3−2i30022-1-122-1-1-1-1-21-2112i3−2i300002i3−2i3−i3i300−i3i3i3−i3003-3003-3-330000−i3i32i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ8044-4-4-2-242-2422-4-4-22001-2-2110−2i32i3−2i32i3-1-12222-1-1-1-11-2-211000000i3−i3−2i32i300i3−i3−i3i3i3−i300−2i32i3i3−i3i3−i3003-300003-3-33000000000000000000000000000000000
χ8144-4-4-2-242-2422-4-4-22001-2-2110−2i32i32i3−2i3-1-12222-1-1-1-11-2-211000000i3−i3−2i32i300i3−i3−i3i3−i3i3002i3−2i3−i3i3−i3i300-330000-333-3000000000000000000000000000000000
χ8244-4-4-2-242-2422-4-4-22001-2-21102i3−2i3−2i32i3-1-12222-1-1-1-11-2-211000000−i3i32i3−2i300−i3i3i3−i3i3−i300−2i32i3i3−i3i3−i300-330000-333-3000000000000000000000000000000000
χ8344-4-4-2-242-2422-4-4-22001-2-21102i3−2i32i3−2i3-1-12222-1-1-1-11-2-211000000−i3i32i3−2i300−i3i3i3−i3−i3i3002i3−2i3−i3i3−i3i3003-300003-3-33000000000000000000000000000000000
χ8444-4-4-2-2-22-2-22222-2200111−1−3i32−1+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+i32000000000000000000000000000000000
χ8544-4-4-2-2-22-2-22222-2200111−1−3i32−1+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−i32000000000000000000000000000000000
χ8644-4-4-2-2-22-2-22222-2200111−1−3i32−1+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−i32000000000000000000000000000000000
χ8744-4-4-2-2-22-2-22222-2200111−1−3i32−1+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+i32000000000000000000000000000000000
χ8844-4-4-2-2-22-2-22222-2200111−1+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−i32000000000000000000000000000000000
χ8944-4-4-2-2-22-2-22222-2200111−1+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+i32000000000000000000000000000000000
χ9044-4-4-2-2-22-2-22222-2200111−1+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+i32000000000000000000000000000000000
χ9144-4-4-2-2-22-2-22222-2200111−1+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−i32000000000000000000000000000000000
χ924-44-44444-4-4-44-44-4-4004444400000-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000
χ934-44-444-24-42-442-2-4-4004-2-2-2-200000-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ944-44-444-24-42-442-2-4-4004-2-2-2-200000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ954-44-44-2442-42-2-44-4-400-24-2-2-2000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000−2i32i300000000000000
χ964-44-44-2442-42-2-44-4-400-24-2-2-2000002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000002i3−2i300000000000000
χ974-44-4-244-2-4-4-44-442200-2-24-2-2000002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000000023−23000000
χ984-44-4-244-2-4-4-44-442200-2-24-2-2000002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000−2323000000
χ994-4-4444-2-4-424-4-22-44004-2-2-2-2000004-4-22-22-2-222-4222200000000000000000000000000000000000000004-4000000000000000-22000000000000
χ1004-4-4444-2-4-424-4-22-44004-2-2-2-2000004-4-22-22-2-222-422220000000000000000000000000000000000000000-440000000000000002-2000000000000
χ1014-4-444-24-42-4-224-4-4400-24-2-2-200000-224-4-22-2-2222-4222000000000000000000000000000000000000004-40000000000000-220000000000000000
χ1024-4-444-24-42-4-224-4-4400-24-2-2-200000-224-4-22-2-2222-422200000000000000000000000000000000000000-4400000000000002-20000000000000000
χ1034-4-44-2442-4-44-44-42-200-2-24-2-200000-22-224-4-2-22222-4220000000000000000000000000000000000000000004-400000000000000000-2200000000
χ1044-4-44-2442-4-44-44-42-200-2-24-2-200000-22-224-4-2-22222-422000000000000000000000000000000000000000000-44000000000000000002-200000000
χ1058-88-88-4-48444-44-4-8-800-4-4222000004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-4-4-84-884-44400-42-422000004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-44-84-4-8844002-4-42200000-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-4444-44-44400222−1−3i3−1+3i300000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-4444-44-44400222−1+3i3−1−3i300000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-844-44-44-8800-4-422200000-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-848-8-444-400-42-42200000-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-8-448-84-4002-4-422000002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4444-44-444-400222−1−3i3−1+3i3000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4444-44-444-400222−1+3i3−1−3i3000002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000

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