Finite Group Databasebeta

← Group #13161967

Character table — Group #13161967

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222222222222444444444444444444444444448888888888888888888888888888888888888181818181818181818181818363636363636363636363636727272727272727272
order12223334466666666633333666666666666666121212121212266666666666666666666666666121212121212121212124444888888881212121224242424242424242446612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-222-2-20000000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-2000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-22200000000-2-22200000000000000000
χ11222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000200-1-10000
χ12222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000-200110000
χ13222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1222200000000-1-1-1-100000000-200110000
χ14222222-1222222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-211-2-2-2-2111111111111111122-1-1-1-1-1-1-1-1-2-2-2-200000000111100000000200-1-10000
χ15222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-21111111122-2-200000000-1-11100000000000−i3i30000
χ16222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i30000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-2-211111111-2-2220000000011-1-100000000000i3−i30000
χ17222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-21111111122-2-200000000-1-11100000000000i3−i30000
χ18222222-1-2-22222-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i30000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-2-211111111-2-2220000000011-1-100000000000−i3i30000
χ1922222-12222-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000222200000000-1-1-1-10020000-1-1
χ2022222-12222-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-100000000-2-2-2-200000000111100-2000011
χ2122222-12222-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000222200000000-1-1-1-100-2000011
χ2222222-12222-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-21111-2-2111111-2-2111111-1-122-1-1-1-1-1-100000000-2-2-2-20000000011110020000-1-1
χ232222-12222-12-12222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000222200000000-1-1-1-1000002000-1-100
χ242222-12222-12-12222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-10000-2-2-2-200000000111100000-20001100
χ252222-12222-12-12222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10000222200000000-1-1-1-100000-20001100
χ262222-12222-12-12222-12-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2111111-2-2111111-2-21111-1-1-1-122-1-1-1-10000-2-2-2-2000000001111000002000-1-100
χ2722-2-22222-2-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-200002i2i−2i−2i000000002i2i−2i−2i0000000000000
χ2822-2-22222-2-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-2-2222222-22-2-220000000000000000000000000002-22-22-222-2-20000−2i−2i2i2i00000000−2i−2i2i2i0000000000000
χ2922-2-2222-22-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-222000000002i2i−2i−2i000000002i2i−2i−2i000000000
χ3022-2-2222-22-2-2222-2-2-2-222222-2-2-2-2-2-2-2-2-2-222222-22-222-2000000000000000000000000000-22-22-22-2-22200000000−2i−2i2i2i00000000−2i−2i2i2i000000000
χ3122-2-22-12-22-212-12-2-2-21-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i31-1-221-111-1-1000000002i2i−2i−2i00000000−i−iii00000003−3
χ3222-2-22-12-22-212-12-2-2-21-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000−i3i300−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i31-1-221-111-1-100000000−2i−2i2i2i00000000ii−i−i0000000−33
χ3322-2-22-12-22-212-12-2-2-21-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i31-1-221-111-1-1000000002i2i−2i−2i00000000−i−iii0000000−33
χ3422-2-22-12-22-212-12-2-2-21-12-1-1-111-2-2111111-12-1-1-1-2-1-2221000i3−i300i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i31-1-221-111-1-100000000−2i−2i2i2i00000000ii−i−i00000003−3
χ3522-2-2-1222-21-2-122-2-21-2-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3-11-112-2-1-11100002i2i−2i−2i00000000−i−iii0000000003−300
χ3622-2-2-1222-21-2-122-2-21-2-1-12-1-11111-2-21111-1-12-1-1-1-22-2120−i3i30000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3-11-112-2-1-1110000−2i−2i2i2i00000000ii−i−i000000000−3300
χ3722-2-2-1222-21-2-122-2-21-2-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3-11-112-2-1-11100002i2i−2i−2i00000000−i−iii000000000−3300
χ3822-2-2-1222-21-2-122-2-21-2-1-12-1-11111-2-21111-1-12-1-1-1-22-2120i3−i30000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3-11-112-2-1-1110000−2i−2i2i2i00000000ii−i−i0000000003−300
χ392-22-22220022-2-2-22-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-200−i2i2−i2i2−i2i2−i2i22-200−i2i2−i2i2−i2i2−i2i2000000000
χ402-22-22220022-2-2-22-2-2-2222222-22-22-222-2-2-2-2-2-2-200000000000000000000000000000000000000000002-200i2−i2i2−i2i2−i2i2−i22-200i2−i2i2−i2i2−i2i2−i2000000000
χ412-22-22220022-2-2-22-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200−i2i2−i2i2i2−i2i2−i2-2200−i2i2−i2i2i2−i2i2−i2000000000
χ422-22-22220022-2-2-22-2-2-2222222-22-22-222-2-2-2-2-2-2-20000000000000000000000000000000000000000000-2200i2−i2i2−i2−i2i2−i2i2-2200i2−i2i2−i2−i2i2−i2i2000000000
χ432-2-2222200-2-2-2-2-2-222222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002-22−2−222−2−22002-22−2−222−2−22000000000
χ442-2-2222200-2-2-2-2-2-222222222-22-22-22-2-222-2-2-2-2-20000000000000000000000000000000000000000000002-2−222−2−222−2002-2−222−2−222−2000000000
χ452-2-2222200-2-2-2-2-2-222222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000-222−2−22−222−200-222−2−22−222−2000000000
χ462-2-2222200-2-2-2-2-2-222222222-22-22-22-2-222-2-2-2-2-2000000000000000000000000000000000000000000000-22−222−22−2−2200-22−222−22−2−22000000000
χ4744444-24-4-44-24-24444-2-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-4200000000000000000000000000022-4-4222222000000000000000000000000000000000
χ4844444-2-2444-24-2-2-2-24-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2-2-2111111-2-2111111-2-2-2-2111111000000000000000000000000000000000
χ4944444-2-2444-24-2-2-2-24-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-42222222222-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111000000000000000000000000000000000
χ5044444-2-2-4-44-24-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-4222-4200000−2i32i30000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i32222-1-1-1-1-1-1000000000000000000000000000000000
χ5144444-2-2-4-44-24-2-2-2-24-2-2-2111-2-2-2-2111111-2-2111-4222-42000002i3−2i300002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i32222-1-1-1-1-1-1000000000000000000000000000000000
χ524444-244-4-4-24-24444-24-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-40000000000000000000000000002222-4-42222000000000000000000000000000000000
χ534444-24-244-24-24-2-2-2-24-21-211-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-2-2-211-2-2111111-2-21111-2-211-2-21111000000000000000000000000000000000
χ544444-24-244-24-24-2-2-2-24-21-211-2-211-2-21111-21-211-24-2-2-24-422-4-4222222-1-122-1-1-1-1-1-122-1-1-1-1-2-211-2-21111000000000000000000000000000000000
χ554444-24-2-4-4-24-24-2-2-2-24-21-211-2-211-2-21111-21-2112-4222-400000−2i32i30000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i322-1-122-1-1-1-1000000000000000000000000000000000
χ564444-24-2-4-4-24-24-2-2-2-24-21-211-2-211-2-21111-21-2112-4222-4000002i3−2i30000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i322-1-122-1-1-1-1000000000000000000000000000000000
χ574444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-2-244-2-24-2-2-2-2441111-2-2-2-21111-2-2-2-2111111-2-2-2-21111000000000000000000000000000000000
χ584444-2-2444-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-211-2-244-2-2-42222-4-4-1-1-1-12222-1-1-1-12222-1-1-1-111-2-2-2-21111000000000000000000000000000000000
χ594444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21122-4-42200000003-3-3300003-3-3300003-3-33-1-12222-1-1-1-1000000000000000000000000000000000
χ604444-2-24-4-4-2-2-2-2444-2-21-2-21111-2-2-2-211111-2-21122-4-4220000000-333-30000-333-30000-333-3-1-12222-1-1-1-1000000000000000000000000000000000
χ614444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ624444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32111111−1−3i32−1+3i32−1−3i32−1+3i32000000000000000000000000000000000
χ634444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ644444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32111111−1+3i32−1−3i32−1+3i32−1−3i32000000000000000000000000000000000
χ654444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i3222222200000−2i32i33-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ664444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1+3i32−1−3i32−1+3i32111−1−3i32−1+3i32222222000002i3−2i3-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32000000000000000000000000000000000
χ674444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i3222222200000−2i32i3-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ684444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1−3i32−1+3i32−1−3i32111−1+3i32−1−3i32222222000002i3−2i33-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32000000000000000000000000000000000
χ6944-4-444-24-4-4-444-222-4-44-2-2-2-2-4-4222222224-2-2-2-24-4-22-440000000000000000000000000004-4-22-22-2-222000000000000000000000000000000000
χ7044-4-444-2-44-4-444-222-4-44-2-2-2-2-4-4222222224-2-2-2-2-442-24-4000000000000000000000000000-442-22-222-2-2000000000000000000000000000000000
χ7144-4-44-244-4-424-24-4-4-42-24-2-2-222-4-4222222-24-2-2-2424-4-4-2000000000000000000000000000-224-4-22-2-222000000000000000000000000000000000
χ7244-4-44-2-24-4-424-2-222-42-2-21112222-1-1-1-1-1-1-2-211142-22-4-200000000000003-333-3-300-33-3-333-22-221-111-1-1000000000000000000000000000000000
χ7344-4-44-2-24-4-424-2-222-42-2-21112222-1-1-1-1-1-1-2-211142-22-4-20000000000000-33-3-333003-333-3-3-22-221-111-1-1000000000000000000000000000000000
χ7444-4-44-2-2-44-424-2-222-42-2-21112222-1-1-1-1-1-1-2-2111-4-22-242000−2i32i300−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i32-22-2-11-1-111000000000000000000000000000000000
χ7544-4-44-2-2-44-424-2-222-42-2-21112222-1-1-1-1-1-1-2-2111-4-22-2420002i3−2i3002i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i32-22-2-11-1-111000000000000000000000000000000000
χ7644-4-4-244-442-4-244-4-42-4-2-24-2-22222-4-42222-2-24-2-224-44-2-40000000000000000000000000002-22-2-4422-2-2000000000000000000000000000000000
χ7744-4-4-24-24-42-4-24-2222-4-21-21122-1-122-1-1-1-1-21-211-2-4-22240−2i32i30000−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3-221-1-2211-1-1000000000000000000000000000000000
χ7844-4-4-24-24-42-4-24-2222-4-21-21122-1-122-1-1-1-1-21-211-2-4-222402i3−2i300002i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3-221-1-2211-1-1000000000000000000000000000000000
χ7944-4-4-24-2-442-4-24-2222-4-21-21122-1-122-1-1-1-1-21-211242-2-2-4000000000003-3003-33-3-3300-33-332-2-112-2-1-111000000000000000000000000000000000
χ8044-4-4-24-2-442-4-24-2222-4-21-21122-1-122-1-1-1-1-21-211242-2-2-400000000000-3300-33-333-3003-33-32-2-112-2-1-111000000000000000000000000000000000
χ8144-4-4-2-244-422-2-24-4-4221-2-211-1-12222-1-1-1-11-2-211-224-42-20−2i32i30000i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i31-1-22-2211-1-1000000000000000000000000000000000
χ8244-4-4-2-244-422-2-24-4-4221-2-211-1-12222-1-1-1-11-2-211-224-42-202i3−2i30000−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i31-1-22-2211-1-1000000000000000000000000000000000
χ8344-4-4-2-24-4422-2-24-4-4221-2-211-1-12222-1-1-1-11-2-2112-2-44-22000−2i32i300i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3-112-22-2-1-111000000000000000000000000000000000
χ8444-4-4-2-24-4422-2-24-4-4221-2-211-1-12222-1-1-1-11-2-2112-2-44-220002i3−2i300−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3-112-22-2-1-111000000000000000000000000000000000
χ8544-4-4-2-2-24-422-2-2-22222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-20−2i32i30000i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ8644-4-4-2-2-24-422-2-2-22222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i32-22-222-202i3−2i30000−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i321-11-11-1−1−3i32−1+3i321+3i321−3i32000000000000000000000000000000000
χ8744-4-4-2-2-24-422-2-2-22222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-20−2i32i30000i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ8844-4-4-2-2-24-422-2-2-22222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i32-22-222-202i3−2i30000−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i321-11-11-1−1+3i32−1−3i321−3i321+3i32000000000000000000000000000000000
χ8944-4-4-2-2-2-4422-2-2-22222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-22000−2i32i300i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ9044-4-4-2-2-2-4422-2-2-22222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321−3i321+3i321−3i32111−1−3i32−1+3i322-22-2-220002i3−2i300−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32-11-11-111+3i321−3i32−1−3i32−1+3i32000000000000000000000000000000000
χ9144-4-4-2-2-2-4422-2-2-22222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-22000−2i32i300i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ9244-4-4-2-2-2-4422-2-2-22222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321+3i321−3i321+3i32111−1+3i32−1−3i322-22-2-220002i3−2i300−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32-11-11-111−3i321+3i32−1+3i32−1−3i32000000000000000000000000000000000
χ934-44-444-20044-4-42-22-4-44-2-2-2-24-4-22-22-2-222-4222200000000000000000000000000000000000000000004-40000000000-220000000000000000000
χ944-44-444-20044-4-42-22-4-44-2-2-2-24-4-22-22-2-222-422220000000000000000000000000000000000000000000-4400000000002-20000000000000000000
χ954-44-44-24004-2-42-44-4-42-24-2-2-2-224-4-22-2-2222-4222000000000000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i2000000000
χ964-44-44-24004-2-42-44-4-42-24-2-2-2-224-4-22-2-2222-42220000000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i2000000000
χ974-44-4-24400-242-4-44-42-4-2-24-2-2-22-224-4-2-22222-42200000000000000000000000000000000000000000000000−2i22i2−2i22i200000000i2−i2i2−i20000000000000
χ984-44-4-24400-242-4-44-42-4-2-24-2-2-22-224-4-2-22222-422000000000000000000000000000000000000000000000002i2−2i22i2−2i200000000−i2i2−i2i20000000000000
χ994-4-4444-200-4-4-4-422-2444-2-2-2-2-442-22-222-2-2-422220000000000000000000000000000000000000000000004-40000000000-2200000000000000000
χ1004-4-4444-200-4-4-4-422-2444-2-2-2-2-442-22-222-2-2-42222000000000000000000000000000000000000000000000-4400000000002-200000000000000000
χ1014-4-444-2400-42-42-4-444-2-24-2-2-22-2-442-222-2-22-422200000000000000000000000000000000000000000000000000022−22−222200000000−222−2000000000
χ1024-4-444-2400-42-42-4-444-2-24-2-2-22-2-442-222-2-22-4222000000000000000000000000000000000000000000000000000−222222−22000000002−2−22000000000
χ1034-4-44-244002-42-4-4-44-24-2-24-2-22-22-2-4422-2-222-4220000000000000000000000000000000000000000000000022−22−222200000000−222−20000000000000
χ1044-4-44-244002-42-4-4-44-24-2-24-2-22-22-2-4422-2-222-42200000000000000000000000000000000000000000000000−222222−22000000002−2−220000000000000
χ1058-88-88-4-4008-4-844-44-84-4-4222-44-442-222-2-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-48-400-484-84-444-8-42-422-442-2-4422-2-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4-4800-4-444-88-8442-4-4222-2-44-4422-2-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4-4-400-4-4444-4444222−1−3i3−1+3i32-22-22-2−1−3i3−1+3i31+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-400-4-4444-4444222−1+3i3−1−3i32-22-22-2−1+3i3−1−3i31−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1108-8-888-4-400-84-8444-48-4-4-42224-44-4-22-2-22244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1118-8-88-48-4004-84-844-4-48-42-4224-4-224-4-2-2224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-4-48004444-8-88-4-42-4-422-224-44-4-2-222-244-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-400444444-4-4-4222−1−3i3−1+3i3-22-22-221+3i31−3i3−1−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-400444444-4-4-4222−1+3i3−1−3i3-22-22-221−3i31+3i3−1+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000000000

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