Finite Group Databasebeta

← Group #13178697

Character table — Group #13178697

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222244444444444444444444444444444888888888888888888888888888888888888181818181818363636363636363636363636363636363636363636727272727272
order1222333666666666223333346666666666666666666121266666666666666666666666612121212121212121212121244444424444444412121212121212121212121261212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-11-1-11-1-1-11-1-1-1-1-11111-1-1-1-11-1-11-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-11-1-11-1-1-11-1-1-1-1-1-1-1-11111-111-1-1-1
χ511111111111111111-111111-111-1-1111111111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1111-1-111-1-111111-1-1-11-1
χ611111111111111111-111111-111-1-1111111111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1111-11-111-1-1-1-111-1-1-1-1-11111-1
χ711111111111111111-111111-111-1-1111111111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-1-1-1-11111-1-1-1-1-1-1111-1-11
χ811111111111111111-111111-111-1-1111111111111111-1-11-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-111-1-1111111-1-1-11-11
χ91111111111111111-1111111-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-11-11-1-11-1-111-1-1111111-1-1-11-1-1-11
χ101111111111111111-1111111-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11-111111-1-1-1-1-1-1-1-1111-111-11
χ111111111111111111-1111111-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11-1-1111111-1-111-1-11-11-1
χ121111111111111111-1111111-1-1-111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11-11-1-1-111-1-1-1-111-1-111-111-1
χ131111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-11-11-1-11-1111111-1-111-1-1-1-111-1-1
χ141111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-111111-1-111-1-11111-1-1-1-1
χ151111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-11-1-1-11111-1-1-1-111-1-1-1-111-11-1111
χ161111111111111111-1-1111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-11-11-111
χ17222222-1-12222-1-122222-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-1-1-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10022002002000200000-1-1-1-10000-100-100
χ18222222-1-12222-1-122222-1-1-1-1222-1-122-1-1-1-1-1-1-1-12-1-1-1-122222-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-100-2-200-200-2000-20000011110000100100
χ19222222-1-12222-1-1222-22-1-1-1-1-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-2-2-122-1-1-1-1-1-1-1-1-2-2111111111-2-2-211111111002200200-2000-200000-1-1110000-100100
χ20222222-1-12222-1-1222-22-1-1-1-1-2221122-1-1-1-1-1-1-1-12-1-1-1-1-2-22-2-2-122-1-1-1-1-1-1-1-1-2-2111111111-2-2-21111111100-2-200-200200020000011-1-10000100-100
χ21222222-1-12222-1-122-222-1-1-1-1-2-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2221-2-21111111122-1-1-1-1-1-1-1-11-2-2-211111111002200-2002000-200000-1-1-1-10000100100
χ22222222-1-12222-1-122-222-1-1-1-1-2-2-2-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-2-2221-2-21111111122-1-1-1-1-1-1-1-11-2-2-21111111100-2-200200-200020000011110000-100-100
χ23222222-1-12222-1-122-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-2-2-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-1002200-200-2000200000-1-1110000100-100
χ24222222-1-12222-1-122-2-22-1-1-1-12-2-21122-1-1-1-1-1-1-1-12-1-1-1-122-2-2-21-2-211111111-2-211111111-1222-1-1-1-1-1-1-1-100-2-2002002000-20000011-1-10000-100100
χ2522222-12222-1-1222-122-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1220000002002200-1-1-1-1000000000000-1-1
χ2622222-12222-1-1222-122-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-1-1-1-12-12-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-2-2000000-200-2-200111100000000000011
χ2722222-12222-1-1222-12-2-12-1-1-1-222-2-2-1-122-1-1-1-1-1-1-12-1-1-111-1-212-1-122-1-1-1-1-1-111-2-2111111-2-211-2-211111122000000-2002-200-1-111000000000000-11
χ2822222-12222-1-1222-12-2-12-1-1-1-222-2-2-1-122-1-1-1-1-1-1-12-1-1-111-1-212-1-122-1-1-1-1-1-111-2-2111111-2-211-2-2111111-2-2000000200-220011-1-10000000000001-1
χ2922222-12222-1-1222-1-22-12-1-1-1-2-2-222-1-122-1-1-1-1-1-1-12-1-1-11112-1-211-2-2111111-1-122-1-1-1-1-1-1-2-211-2-211111122000000-200-2200-1-1110000000000001-1
χ3022222-12222-1-1222-1-22-12-1-1-1-2-2-222-1-122-1-1-1-1-1-1-12-1-1-11112-1-211-2-2111111-1-122-1-1-1-1-1-1-2-211-2-2111111-2-20000002002-20011-1-1000000000000-11
χ3122222-12222-1-1222-1-2-2-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-11-21-211-2-211111111-2-211111122-1-122-1-1-1-1-1-122000000200-2-200-1-1-1-100000000000011
χ3222222-12222-1-1222-1-2-2-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-1-1-1-11-21-211-2-211111111-2-211111122-1-122-1-1-1-1-1-1-2-2000000-20022001111000000000000-1-1
χ332222-1222-1-12222-1222-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-100002202002000200000000-1-1-1-10-1-1000
χ342222-1222-1-12222-1222-1-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1222-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-1-122-1-1-1-10000-2-20-200-2000-2000000001111011000
χ352222-1222-1-12222-122-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-221-22-1-1-1-122-1-1-1-11111-2-21111-211111-2-211110000220-200-2000200000000-1-1-1-1011000
χ362222-1222-1-12222-122-2-1-12-1-1-2-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-2-221-22-1-1-1-122-1-1-1-11111-2-21111-211111-2-211110000-2-202002000-20000000011110-1-1000
χ372222-1222-1-12222-12-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-12-21111-2-21111-1-1-1-122-1-1-1-1-211111-2-211110000220200-2000-200000000-1-1110-11000
χ382222-1222-1-12222-12-22-1-12-1-1-21122-1-1-1-122-1-1-1-1-1-12-1-1-2-2-2-12-21111-2-21111-1-1-1-122-1-1-1-1-211111-2-211110000-2-20-200200020000000011-1-101-1000
χ392222-1222-1-12222-12-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-122-21-2-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-10000220-2002000-200000000-1-11101-1000
χ402222-1222-1-12222-12-2-2-1-12-1-1211-2-2-1-1-1-122-1-1-1-1-1-12-1-122-21-2-21111-2-211111111-2-211112-1-1-1-1-122-1-1-1-10000-2-20200-200020000000011-1-10-11000
χ412-22-2222-22-22-2-22-2-20022222000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002i−2i2-22i−2i0000000002i−2i002-2002i−2i00000000
χ422-22-2222-22-22-2-22-2-20022222000002-22-22-222-2-2-2-2-2-2-2000000000000000000000000000000000000002i−2i-22−2i2i0000000002i−2i00-2200−2i2i00000000
χ432-22-2222-22-22-2-22-2-20022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000−2i2i2-2−2i2i000000000−2i2i002-200−2i2i00000000
χ442-22-2222-22-22-2-22-2-20022222000002-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000−2i2i-222i−2i000000000−2i2i00-22002i−2i00000000
χ4544444-2-2-244-2-2-2-24-244-2-2111444-2-2-2-2-2-2111111-2-2111-2-2-24-2-2-2-2-2-2111111-2-2-2-2111111-24-2-2-2-2111111000000000000000000000000000000000
χ4644444-2-2-244-2-2-2-24-24-4-2-2111-44422-2-2-2-2111111-2-211122-2-42-2-2-2-2-21111112222-1-1-1-1-1-12-42222-1-1-1-1-1-1000000000000000000000000000000000
χ4744444-2-2-244-2-2-2-24-2-44-2-2111-4-4-4-2-2-2-2-2-2111111-2-21112224-222222-1-1-1-1-1-1-2-2-2-21111112-42222-1-1-1-1-1-1000000000000000000000000000000000
χ4844444-2-2-244-2-2-2-24-2-4-4-2-21114-4-422-2-2-2-2111111-2-2111-2-22-4222222-1-1-1-1-1-12222-1-1-1-1-1-1-24-2-2-2-2111111000000000000000000000000000000000
χ494444-24-2-2-2-244-2-2-2444-21-2114-2-2-2-2-2-211-2-21111-21-211444-24-2-2-211-2-21111-2-211-2-21111-2-2-2-211-2-21111000000000000000000000000000000000
χ504444-24-2-2-2-244-2-2-244-4-21-211-4-2-222-2-211-2-21111-21-211-4-442-4-2-2-211-2-2111122-1-122-1-1-1-12222-1-122-1-1-1-1000000000000000000000000000000000
χ514444-24-2-2-2-244-2-2-24-44-21-211-422-2-2-2-211-2-21111-21-211-4-4-4-24222-1-122-1-1-1-1-2-211-2-211112222-1-122-1-1-1-1000000000000000000000000000000000
χ524444-24-2-2-2-244-2-2-24-4-4-21-21142222-2-211-2-21111-21-21144-42-4222-1-122-1-1-1-122-1-122-1-1-1-1-2-2-2-211-2-21111000000000000000000000000000000000
χ534444-2-244-2-2-2-244-2-2441-2-2114-2-24411-2-2-2-211111-2-211-2-2-2-2-2411-2-2-2-2111111-2-2-2-211114-211-2-2-2-21111000000000000000000000000000000000
χ544444-2-244-2-2-2-244-2-24-41-2-211-4-2-2-4-411-2-2-2-211111-2-21122-222411-2-2-2-21111-1-12222-1-1-1-1-42-1-12222-1-1-1-1000000000000000000000000000000000
χ554444-2-244-2-2-2-244-2-2-441-2-211-4224411-2-2-2-211111-2-211222-2-2-4-1-12222-1-1-1-111-2-2-2-21111-42-1-12222-1-1-1-1000000000000000000000000000000000
χ564444-2-244-2-2-2-244-2-2-4-41-2-211422-4-411-2-2-2-211111-2-211-2-2222-4-1-12222-1-1-1-1-1-12222-1-1-1-14-211-2-2-2-21111000000000000000000000000000000000
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+3i3222-222-2111111−1−3i32−1−3i32−1+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+3i32−1−3i3222-222-2111111−1+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+3i32222-2-22-1-1-1-1-1-11+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+3i32−1−3i32222-2-22-1-1-1-1-1-11−3i321−3i321+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
χ6544-4-44444-44-44-4-4-4-4004444400000-44-44-44-4-444-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-444-2-2-44-4422-4-4004-2-2-2-200000-442-22-222-2-2-422220000000000000000000000000000000000000000000000000000000000023−230000000000
χ6744-4-444-2-2-44-4422-4-4004-2-2-2-200000-442-22-222-2-2-4222200000000000000000000000000000000000000000000000000000000000−23230000000000
χ6844-4-44-244-442-2-4-4-4200-24-2-2-2000002-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000000023−2300000000000000
χ6944-4-44-244-442-2-4-4-4200-24-2-2-2000002-2-442-222-2-22-42220000000000000000000000000000000000000000000000000000000−232300000000000000
χ7044-4-4-24442-2-44-4-42-400-2-24-2-2000002-22-2-4422-2-222-42200000000000000000000000000000000000000000000000000000000000000023−23000000
χ7144-4-4-24442-2-44-4-42-400-2-24-2-2000002-22-2-4422-2-222-422000000000000000000000000000000000000000000000000000000000000000−2323000000
χ724-44-444-224-44-42-2-4-4004-2-2-2-2000004-4-22-22-2-222-4222200000000000000000000000000000000000000004-4000000000000000-22000000000000
χ734-44-444-224-44-42-2-4-4004-2-2-2-2000004-4-22-22-2-222-422220000000000000000000000000000000000000000-440000000000000002-2000000000000
χ744-44-44-24-44-4-22-44-4200-24-2-2-200000-224-4-22-2-2222-4222000000000000000000000000000000000000004i−4i0000000000000−2i2i0000000000000000
χ754-44-44-24-44-4-22-44-4200-24-2-2-200000-224-4-22-2-2222-422200000000000000000000000000000000000000−4i4i00000000000002i−2i0000000000000000
χ764-44-4-244-4-224-4-442-400-2-24-2-200000-22-224-4-2-22222-4220000000000000000000000000000000000000000004i−4i00000000000000000−2i2i00000000
χ774-44-4-244-4-224-4-442-400-2-24-2-200000-22-224-4-2-22222-422000000000000000000000000000000000000000000−4i4i000000000000000002i−2i00000000
χ784-4-44444-4-4-4-4-44-444004444400000-4-4-4-4-4-4-4-4-4-44444400000000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-22-4-4-4-4-2244004-2-2-2-2000−2i32i3-4-4222222224-2-2-2-2000000000000000000−2i32i3−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000000000000
χ804-4-4444-22-4-4-4-4-2244004-2-2-2-20002i3−2i3-4-4222222224-2-2-2-20000000000000000002i3−2i32i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000000000000
χ814-4-444-24-4-4-4224-44-200-24-2-2-20000022-4-4222222-24-2-2-2−2i32i300000000000000000000000000−2i32i300−2i32i3−2i32i3−2i32i3000000000000000000000000000000000
χ824-4-444-24-4-4-4224-44-200-24-2-2-20000022-4-4222222-24-2-2-22i3−2i3000000000000000000000000002i3−2i3002i3−2i32i3−2i32i3−2i3000000000000000000000000000000000
χ834-4-444-2-22-4-422-224-200-2-2111000−2i32i32222-1-1-1-1-1-1-2-2111−2i32i3000000003-33-33-300−2i32i3i3−i3i3−i3i3−i300−2i32i300i3−i3i3−i3i3−i3000000000000000000000000000000000
χ844-4-444-2-22-4-422-224-200-2-2111000−2i32i32222-1-1-1-1-1-1-2-21112i3−2i300000000-33-33-3300−2i32i3i3−i3i3−i3i3−i3002i3−2i300−i3i3−i3i3−i3i3000000000000000000000000000000000
χ854-4-444-2-22-4-422-224-200-2-21110002i3−2i32222-1-1-1-1-1-1-2-2111−2i32i300000000-33-33-33002i3−2i3−i3i3−i3i3−i3i300−2i32i300i3−i3i3−i3i3−i3000000000000000000000000000000000
χ864-4-444-2-22-4-422-224-200-2-21110002i3−2i32222-1-1-1-1-1-1-2-21112i3−2i3000000003-33-33-3002i3−2i3−i3i3−i3i3−i3i3002i3−2i300−i3i3−i3i3−i3i3000000000000000000000000000000000
χ874-4-44-244-422-4-44-4-2400-2-24-2-20−2i32i3002222-4-42222-2-24-2-2000000−2i32i3−2i32i300−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000
χ884-4-44-244-422-4-44-4-2400-2-24-2-202i3−2i3002222-4-42222-2-24-2-20000002i3−2i32i3−2i3002i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000
χ894-4-44-24-2222-4-4-22-2400-21-2110−2i32i3−2i32i322-1-122-1-1-1-1-21-211000000−2i32i3i3−i300i3−i3−i3i300i3−i3−2i32i3i3−i3i3−i300003-3003-3-33000000000000000000000000000000000
χ904-4-44-24-2222-4-4-22-2400-21-2110−2i32i32i3−2i322-1-122-1-1-1-1-21-211000000−2i32i3i3−i300i3−i3−i3i300−i3i32i3−2i3−i3i3−i3i30000-3300-333-3000000000000000000000000000000000
χ914-4-44-24-2222-4-4-22-2400-21-21102i3−2i3−2i32i322-1-122-1-1-1-1-21-2110000002i3−2i3−i3i300−i3i3i3−i300i3−i3−2i32i3i3−i3i3−i30000-3300-333-3000000000000000000000000000000000
χ924-4-44-24-2222-4-4-22-2400-21-21102i3−2i32i3−2i322-1-122-1-1-1-1-21-2110000002i3−2i3−i3i300−i3i3i3−i300−i3i32i3−2i3−i3i3−i3i300003-3003-3-33000000000000000000000000000000000
χ934-4-44-2-24-422224-4-2-2001-2-2110−2i32i300-1-12222-1-1-1-11-2-211−2i32i30000i3−i3−2i32i300i3−i3−i3i33-300003-3-3300i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ944-4-44-2-24-422224-4-2-2001-2-2110−2i32i300-1-12222-1-1-1-11-2-2112i3−2i30000i3−i3−2i32i300i3−i3−i3i3-330000-333-300−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ954-4-44-2-24-422224-4-2-2001-2-21102i3−2i300-1-12222-1-1-1-11-2-211−2i32i30000−i3i32i3−2i300−i3i3i3−i3-330000-333-300i3−i300−2i32i3i3−i3i3−i3000000000000000000000000000000000
χ964-4-44-2-24-422224-4-2-2001-2-21102i3−2i300-1-12222-1-1-1-11-2-2112i3−2i30000−i3i32i3−2i300−i3i3i3−i33-300003-3-3300−i3i3002i3−2i3−i3i3−i3i3000000000000000000000000000000000
χ974-4-44-2-2-222222-22-2-200111−1−3i32−1+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−i323-3i3−i3i3−i3−3−i323+i323−i32−3+i3200i3−i33-3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000
χ984-4-44-2-2-222222-22-2-200111−1−3i32−1+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−i32-33−i3i3−i3i33+i32−3−i32−3+i323−i3200−i3i3-33−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000
χ994-4-44-2-2-222222-22-2-200111−1−3i32−1+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+i323-3i3−i3i3−i3−3−i323+i323−i32−3+i3200−i3i3-33−i3i33+i32−3−i32−3+i323−i32000000000000000000000000000000000
χ1004-4-44-2-2-222222-22-2-200111−1−3i32−1+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+i32-33−i3i3−i3i33+i32−3−i32−3+i323−i3200i3−i33-3i3−i3−3−i323+i323−i32−3+i32000000000000000000000000000000000
χ1014-4-44-2-2-222222-22-2-200111−1+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−i32-33i3−i3i3−i33−i32−3+i32−3−i323+i3200−i3i33-3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000
χ1024-4-44-2-2-222222-22-2-200111−1+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−i323-3−i3i3−i3i3−3+i323−i323+i32−3−i3200i3−i3-33i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000
χ1034-4-44-2-2-222222-22-2-200111−1+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+i32-33i3−i3i3−i33−i32−3+i32−3−i323+i3200i3−i3-33i3−i33−i32−3+i32−3−i323+i32000000000000000000000000000000000
χ1044-4-44-2-2-222222-22-2-200111−1+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+i323-3−i3i3−i3i3−3+i323−i323+i32−3−i3200−i3i33-3−i3i3−3+i323−i323+i32−3−i32000000000000000000000000000000000
χ10588-8-88-4-4-4-884-444-8400-4-4222000004-44-4-22-2-22244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-4-44-4-88444-800-42-422000004-4-224-4-2-2224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4884-44-4-8-844002-4-42200000-224-44-4-2-222-244-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-44-44-4444400222−1−3i3−1+3i300000-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-4-44-44-4444400222−1+3i3−1−3i300000-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000
χ1108-88-88-4-448-8-444-4-8400-4-422200000-44-442-222-2-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-48-44-448-84-44-800-42-42200000-442-2-4422-2-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-48-8-44-44-8844002-4-422000002-2-44-4422-2-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-4-4-44-44-444-44400222−1−3i3−1+3i3000002-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000
χ1148-88-8-4-4-44-44-444-44400222−1+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).