Finite Group Databasebeta

← Group #13178764

Character table — Group #13178764

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order122233366666666633333444666666666666666121212121212121212121212121212121212121212121212121212121212121212121212121212121212224444222244444661212121212121212121266661212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ51111111111111111111111-1-111111111111111111-1-1-1-11-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-111-11111-1-11111-1-11-1-1-11-1
χ61111111111111111111111-1-111111111111111111-1-1-1-11-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-11-11-111-1-111-1-1-1-1-1-1-11111-1
χ71111111111111111111111-1-111111111111111111-1-1-1-11-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-11-1-111-1-1-1-1-1-1111-111-11
χ81111111111111111111111-1-111111111111111111-1-1-1-11-1-1-11-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1111-11-1-1-1-111111111-11-1-1-11
χ9111111111111111111111-11-1111111111111111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1111111-1-11-1-11-1-1111111111-1-1-1-1-1-11-1-11
χ10111111111111111111111-11-1111111111111111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11-1111-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111111-11-1111111111111111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111-1-1-11111-1-11111-1-1-111-1
χ12111111111111111111111-11-1111111111111111-1-111-1-1-11-1-1-11-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-11-1-1-1-1-1-1-111-1-111111-11-1
χ13111111111111111111111-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-11-111-1-1-1-11111-1-111-1-111-11-11-1-1
χ14111111111111111111111-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11-11-1111-1-111-1-111-1-111111-11-1-1-1
χ15111111111111111111111-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1-1-1111-1-111-1-1-1-111-1-1-111-111
χ16111111111111111111111-1-11111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11-11-111-1-1-1-11111-1-1-1-11-1-1111
χ17222222-122-122-1-1222-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100220022000200000-1-1-1-1000000-1-10000
χ18222222-122-122-1-1222-1-1-1-122222-1-1-1-1-1-1-1-12-1-1-1-122-1-122-122-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-200-2-2000-2000001111000000110000
χ19222222-122-122-1-1222-1-1-1-12-2-222-1-1-1-1-1-1-1-12-1-1-1-12211-2-2-1-2-212-222-1-1-1-1-1-1-1-1-2-211111111-2-2111111110022002-2000-200000-1-111000000-110000
χ20222222-122-122-1-1222-1-1-1-12-2-222-1-1-1-1-1-1-1-12-1-1-1-12211-2-2-1-2-212-222-1-1-1-1-1-1-1-1-2-211111111-2-21111111100-2-200-2200020000011-1-10000001-10000
χ21222222-122-122-1-1222-1-1-1-1-22-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1-1-2-212-21-22-2-21111111122-1-1-1-1-1-1-1-1-2-211111111002200-2-2000200000-1-1-1-1000000110000
χ22222222-122-122-1-1222-1-1-1-1-22-222-1-1-1-1-1-1-1-12-1-1-1-1-2-2-1-1-2-212-21-22-2-21111111122-1-1-1-1-1-1-1-1-2-21111111100-2-20022000-2000001111000000-1-10000
χ23222222-122-122-1-1222-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-211221-22-1-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-1002200-22000-200000-1-1110000001-10000
χ24222222-122-122-1-1222-1-1-1-1-2-2222-1-1-1-1-1-1-1-12-1-1-1-1-2-211221-22-1-2-2-2-211111111-2-21111111122-1-1-1-1-1-1-1-100-2-2002-200020000011-1-1000000-110000
χ2522222-122-12-1-12222-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-1-1-1-122222-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1000022002200200000000-1-1-1-10000-1-100
χ2622222-122-12-1-12222-12-1-1-1222-1-122-1-1-1-1-1-1-12-1-1-1-1-122222-1-1222-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000-2-200-2-200-200000000111100001100
χ2722222-122-12-1-12222-12-1-1-12-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-2211-22-2-1-122-1-1-1-1-1-111-2-211111111-2-211111100002200-2-200200000000-1-1-1-100001100
χ2822222-122-12-1-12222-12-1-1-12-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-1-2-2-2-2211-22-2-1-122-1-1-1-1-1-111-2-211111111-2-21111110000-2-2002200-20000000011110000-1-100
χ2922222-122-12-1-12222-12-1-1-1-22-2-1-122-1-1-1-1-1-1-12-1-1-11122-2-2-2-11-2-2211-2-2111111-1-122-1-1-1-1-1-111-2-2111111000022002-200-200000000-1-1110000-1100
χ3022222-122-12-1-12222-12-1-1-1-22-2-1-122-1-1-1-1-1-1-12-1-1-11122-2-2-2-11-2-2211-2-2111111-1-122-1-1-1-1-1-111-2-21111110000-2-200-220020000000011-1-100001-100
χ3122222-122-12-1-12222-12-1-1-1-2-22-1-122-1-1-1-1-1-1-12-1-1-111-2-222-21-12-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-100002200-2200-200000000-1-11100001-100
χ3222222-122-12-1-12222-12-1-1-1-2-22-1-122-1-1-1-1-1-1-12-1-1-111-2-222-21-12-2-211-2-211111111-2-2111111-1-122-1-1-1-1-1-10000-2-2002-20020000000011-1-10000-1100
χ332222-122-1222222-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-12-1-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1220000000020022-1-100000000-1-10000-1-1
χ342222-122-1222222-1-1-1-12-1-1222-1-1-1-122-1-1-1-1-1-12-1-12222-1-12222-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-200000000-200-2-2110000000011000011
χ352222-122-1222222-1-1-1-12-1-12-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-2112-2-2-2-11-1-1-1-122-1-1-1-11111-2-211111111-2-211112200000000-2002-2-1-100000000110000-11
χ362222-122-1222222-1-1-1-12-1-12-2-2-1-1-1-122-1-1-1-1-1-12-1-122-2-2112-2-2-2-11-1-1-1-122-1-1-1-11111-2-211111111-2-21111-2-200000000200-221100000000-1-100001-1
χ372222-122-1222222-1-1-1-12-1-1-22-2-1-1-1-122-1-1-1-1-1-12-1-1-2-22211-22-2-21-11111-2-21111-1-1-1-122-1-1-1-11111-2-211112200000000-200-22-1-1000000001100001-1
χ382222-122-1222222-1-1-1-12-1-1-22-2-1-1-1-122-1-1-1-1-1-12-1-1-2-22211-22-2-21-11111-2-21111-1-1-1-122-1-1-1-11111-2-21111-2-2000000002002-21100000000-1-10000-11
χ392222-122-1222222-1-1-1-12-1-1-2-22-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-1-1-2-222111111-2-211111111-2-21111-1-1-1-122-1-1-1-12200000000200-2-2-1-100000000-1-1000011
χ402222-122-1222222-1-1-1-12-1-1-2-22-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-2-1-1-2-222111111-2-211111111-2-21111-1-1-1-122-1-1-1-1-2-200000000-200221100000000110000-1-1
χ412-22-22222-2-22-22-2-2-2222220002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000002-22i−2i2i−2i0000000002-22i−2i002i−2i0000000000
χ422-22-22222-2-22-22-2-2-2222220002-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000002-2−2i2i−2i2i0000000002-2−2i2i00−2i2i0000000000
χ432-22-22222-2-22-22-2-2-2222220002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000-222i−2i−2i2i000000000-222i−2i00−2i2i0000000000
χ442-22-22222-2-22-22-2-2-2222220002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000000000-22−2i2i2i−2i000000000-22−2i2i002i−2i0000000000
χ4544444-2-24-2-2-2-2-2-244-2-2111444-2-2-2-2111111-2-2111-2-2-2-244-2-2-2-244-2-2-2-2111111-2-2-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-24-2-2-2-2-2-244-2-21114-4-4-2-2-2-2111111-2-2111-2-222-4-4-22224-4-2-2-2-21111112222-1-1-1-1-1-12222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-24-2-2-2-2-2-244-2-2111-44-4-2-2-2-2111111-2-211122-2-2-4-42-222-442222-1-1-1-1-1-1-2-2-2-21111112222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-24-2-2-2-2-2-244-2-2111-4-44-2-2-2-2111111-2-211122224422-2-2-4-42222-1-1-1-1-1-12222-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-24-244-2-2-2-2-21-211444-2-211-2-21111-21-21144-2-2-2-2-244-2-2-2-2-211-2-21111-2-211-2-21111-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-24-244-2-2-2-2-21-2114-4-4-2-211-2-21111-21-211442222-2-4-42-22-2-211-2-2111122-1-122-1-1-1-122-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-24-244-2-2-2-2-21-211-44-4-2-211-2-21111-21-211-4-4-2-22224-422-222-1-122-1-1-1-1-2-211-2-2111122-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-24-244-2-2-2-2-21-211-4-44-2-211-2-21111-21-211-4-422-2-22-44-22222-1-122-1-1-1-122-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ534444-2-24-2-24-2-244-2-21-2-21144411-2-2-2-211111-2-211-2-244-2-24-2-24-2-211-2-2-2-2111111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ544444-2-24-2-24-2-244-2-21-2-2114-4-411-2-2-2-211111-2-211-2-2-4-422422-4-2211-2-2-2-21111-1-12222-1-1-1-1-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-24-2-24-2-244-2-21-2-211-44-411-2-2-2-211111-2-211224422-4-22-42-2-1-12222-1-1-1-111-2-2-2-21111-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-24-2-24-2-244-2-21-2-211-4-4411-2-2-2-211111-2-21122-4-4-2-2-42-2422-1-12222-1-1-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ574444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32444111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ584444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i324-4-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-22222-2222-22111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ594444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-44-4111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222-2-2222-2222-2-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32000000000000000000000000000000000
χ604444-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-44111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i322222-2-222-2-222-1-1-1-1-1-11+3i321+3i321−3i321−3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111111−1−3i32−1−3i32−1+3i32−1+3i32000000000000000000000000000000000
χ614444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32444111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ624444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i324-4-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-22222-2222-22111111−1+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+3i32000000000000000000000000000000000
χ634444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-44-4111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222-2-2222-2222-2-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32000000000000000000000000000000000
χ644444-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-44111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i322222-2-222-2-222-1-1-1-1-1-11−3i321−3i321+3i321+3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111111−1+3i32−1+3i32−1−3i32−1−3i32000000000000000000000000000000000
χ6544-4-4444-444-4-4-4-44-444444000-4-4-4-4-4-4-4-4-4-444444000000000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-44-2-4-4224-44-2-2-2-2000-4-4222222224-2-2-2-200−2i32i300000000000000000000−2i32i3−2i32i3−2i32i3−2i32i30000000000000000000000000000000000000000000
χ6744-4-444-2-44-2-4-4224-44-2-2-2-2000-4-4222222224-2-2-2-2002i3−2i3000000000000000000002i3−2i32i3−2i32i3−2i32i3−2i30000000000000000000000000000000000000000000
χ6844-4-44-24-4-2422-4-44-4-24-2-2-200022-4-4222222-24-2-2-2−2i32i30000000000−2i32i300−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000000000000000000
χ6944-4-44-24-4-2422-4-44-4-24-2-2-200022-4-4222222-24-2-2-22i3−2i300000000002i3−2i3002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000000000000000000
χ7044-4-44-2-2-4-2-222224-4-2-21110002222-1-1-1-1-1-1-2-2111−2i32i3−2i32i300000000−2i32i300i3−i3i3−i3i3−i300−2i32i3i3−i3i3−i3i3−i300003-33-33-3000000000000000000000000000000000
χ7144-4-44-2-2-4-2-222224-4-2-21110002222-1-1-1-1-1-1-2-2111−2i32i32i3−2i300000000−2i32i300i3−i3i3−i3i3−i3002i3−2i3−i3i3−i3i3−i3i30000-33-33-33000000000000000000000000000000000
χ7244-4-44-2-2-4-2-222224-4-2-21110002222-1-1-1-1-1-1-2-21112i3−2i3−2i32i3000000002i3−2i300−i3i3−i3i3−i3i300−2i32i3i3−i3i3−i3i3−i30000-33-33-33000000000000000000000000000000000
χ7344-4-44-2-2-4-2-222224-4-2-21110002222-1-1-1-1-1-1-2-21112i3−2i32i3−2i3000000002i3−2i300−i3i3−i3i3−i3i3002i3−2i3−i3i3−i3i3−i3i300003-33-33-3000000000000000000000000000000000
χ7444-4-4-244244-4-4-4-4-22-2-24-2-20002222-4-42222-2-24-2-20000−2i32i300000000000000000000000000−2i32i3−2i32i300−2i32i32i3−2i3000000000000000000000000000000000
χ7544-4-4-244244-4-4-4-4-22-2-24-2-20002222-4-42222-2-24-2-200002i3−2i3000000000000000000000000002i3−2i32i3−2i3002i3−2i3−2i32i3000000000000000000000000000000000
χ7644-4-4-24-224-2-4-422-22-21-21100022-1-122-1-1-1-1-21-21100−2i32i3−2i32i3000000003-3003-3-3300i3−i3−2i32i3i3−i3i3−i3−2i32i3i3−i300i3−i3−i3i3000000000000000000000000000000000
χ7744-4-4-24-224-2-4-422-22-21-21100022-1-122-1-1-1-1-21-21100−2i32i32i3−2i300000000-3300-333-300i3−i3−2i32i3i3−i3i3−i32i3−2i3−i3i300−i3i3i3−i3000000000000000000000000000000000
χ7844-4-4-24-224-2-4-422-22-21-21100022-1-122-1-1-1-1-21-211002i3−2i3−2i32i300000000-3300-333-300−i3i32i3−2i3−i3i3−i3i3−2i32i3i3−i300i3−i3−i3i3000000000000000000000000000000000
χ7944-4-4-24-224-2-4-422-22-21-21100022-1-122-1-1-1-1-21-211002i3−2i32i3−2i3000000003-3003-3-3300−i3i32i3−2i3−i3i3−i3i32i3−2i3−i3i300−i3i3i3−i3000000000000000000000000000000000
χ8044-4-4-2-242-2422-4-4-221-2-211000-1-12222-1-1-1-11-2-211−2i32i300−2i32i3000000i3−i300−2i32i3i3−i3i3−i33-300003-3-33i3−i3−2i32i300i3−i3−i3i3000000000000000000000000000000000
χ8144-4-4-2-242-2422-4-4-221-2-211000-1-12222-1-1-1-11-2-211−2i32i3002i3−2i3000000i3−i300−2i32i3i3−i3i3−i3-330000-333-3−i3i32i3−2i300−i3i3i3−i3000000000000000000000000000000000
χ8244-4-4-2-242-2422-4-4-221-2-211000-1-12222-1-1-1-11-2-2112i3−2i300−2i32i3000000−i3i3002i3−2i3−i3i3−i3i3-330000-333-3i3−i3−2i32i300i3−i3−i3i3000000000000000000000000000000000
χ8344-4-4-2-242-2422-4-4-221-2-211000-1-12222-1-1-1-11-2-2112i3−2i3002i3−2i3000000−i3i3002i3−2i3−i3i3−i3i33-300003-3-33−i3i32i3−2i300−i3i3i3−i3000000000000000000000000000000000
χ8444-4-4-2-2-22-2-22222-22111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i3−2i32i3−2i32i3000000i3−i33-3i3−i3−3−i323+i323−i32−3+i323-3i3−i3i3−i3−3−i323+i323−i32−3+i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32000000000000000000000000000000000
χ8544-4-4-2-2-22-2-22222-22111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32−2i32i32i3−2i32i3−2i3000000i3−i33-3i3−i3−3−i323+i323−i32−3+i32-33−i3i3−i3i33+i32−3−i32−3+i323−i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32000000000000000000000000000000000
χ8644-4-4-2-2-22-2-22222-22111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i3−2i32i32i3−2i3000000−i3i3-33−i3i33+i32−3−i32−3+i323−i323-3i3−i3i3−i3−3−i323+i323−i32−3+i32−i3i3−i3i3-333+i32−3−i323−i32−3+i32000000000000000000000000000000000
χ8744-4-4-2-2-22-2-22222-22111−1−3i32−1+3i32000-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322i3−2i32i3−2i3−2i32i3000000−i3i3-33−i3i33+i32−3−i32−3+i323−i32-33−i3i3−i3i33+i32−3−i32−3+i323−i32i3−i3i3−i33-3−3−i323+i32−3+i323−i32000000000000000000000000000000000
χ8844-4-4-2-2-22-2-22222-22111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i3−2i32i32i3−2i3000000i3−i3-33i3−i33−i32−3+i32−3−i323+i32-33i3−i3i3−i33−i32−3+i32−3−i323+i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32000000000000000000000000000000000
χ8944-4-4-2-2-22-2-22222-22111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32−2i32i32i3−2i3−2i32i3000000i3−i3-33i3−i33−i32−3+i32−3−i323+i323-3−i3i3−i3i3−3+i323−i323+i32−3−i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32000000000000000000000000000000000
χ9044-4-4-2-2-22-2-22222-22111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i3−2i32i3−2i32i3000000−i3i33-3−i3i3−3+i323−i323+i32−3−i32-33i3−i3i3−i33−i32−3+i32−3−i323+i32i3−i3i3−i3-333−i32−3+i323+i32−3−i32000000000000000000000000000000000
χ9144-4-4-2-2-22-2-22222-22111−1+3i32−1−3i32000-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322i3−2i32i3−2i32i3−2i3000000−i3i33-3−i3i3−3+i323−i323+i32−3−i323-3−i3i3−i3i3−3+i323−i323+i32−3−i32−i3i3−i3i33-3−3+i323−i32−3−i323+i32000000000000000000000000000000000
χ924-44-444-24-424-4-22-4-44-2-2-2-20004-4-22-22-2-222-42222000000000000000000000000000000000000000000004i−4i0000000000000−2i2i00000000000000
χ934-44-444-24-424-4-22-4-44-2-2-2-20004-4-22-22-2-222-4222200000000000000000000000000000000000000000000−4i4i00000000000002i−2i00000000000000
χ944-44-44-2442-4-224-4-4-4-24-2-2-2000-224-4-22-2-2222-422200000000000000000000000000000000000000000000004i−4i000000000000000−2i2i0000000000
χ954-44-44-2442-4-224-4-4-4-24-2-2-2000-224-4-22-2-2222-42220000000000000000000000000000000000000000000000−4i4i0000000000000002i−2i0000000000
χ964-44-4-244-2-4-44-44-422-2-24-2-2000-22-224-4-2-22222-4220000000000000000000000000000000000000000004-40000000000000-220000000000000000
χ974-44-4-244-2-4-44-44-422-2-24-2-2000-22-224-4-2-22222-422000000000000000000000000000000000000000000-4400000000000002-20000000000000000
χ984-4-44444-4-4-4-44-44-4444444000-44-44-44-4-444-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-4444-2-4-42-442-2-444-2-2-2-2000-442-22-222-2-2-42222000000000000000000000000000000000000000000000000000000000000023−23000000000000
χ1004-4-4444-2-4-42-442-2-444-2-2-2-2000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000000−2323000000000000
χ1014-4-444-24-42-42-2-44-44-24-2-2-20002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000000000000023−2300000000
χ1024-4-444-24-42-42-2-44-44-24-2-2-20002-2-442-222-2-22-422200000000000000000000000000000000000000000000000000000000000000000−232300000000
χ1034-4-44-2442-4-4-44-442-2-2-24-2-20002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000000023−23000000
χ1044-4-44-2442-4-4-44-442-2-2-24-2-20002-22-2-4422-2-222-4220000000000000000000000000000000000000000000000000000000000000000000−2323000000
χ1058-88-88-4-4844-44-44-8-8-4-4222000-44-442-222-2-244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-4-4-848-8-4444-42-422000-442-2-4422-2-24-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-48-44-8-448-8442-4-4220002-2-44-4422-2-2-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-4-444-44-4444222−1−3i3−1+3i30002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-4-444-44-4444222−1+3i3−1−3i30002-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-4-8444-44-4-88-4-42220004-44-4-22-2-22244-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-44-84-884-44-4-42-4220004-4-224-4-2-2224-24-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-4844-84-4-884-42-4-422000-224-44-4-2-222-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-44444-44-44-4222−1−3i3−1+3i3000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-44444-44-44-4222−1+3i3−1−3i3000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000000

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