Finite Group Databasebeta

← Group #13162015

Character table — Group #13162015

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444444444448888888888888888888888888888888888888363636363636363636363636363636363636727272727272727272
order122233344666666666333336666666666666661212121212124121212121212121212121212121212121212121212121212121212121212121212121212448888121212122424242424242424222666666
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11-1-1-1-111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-1111-1-111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-11111-1-1
χ92222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-2000000000000000000002-2000022-2-200000000000000000
χ102222222-2-222222222222222222222222222222-2-2-2-2-2-20000000-2-2-2-2-2-2-2-2-2-200000000000000000000-220000-2-22200000000000000000
χ11222222-122222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220000-1-1-1-100000000200-1-10000
χ12222222-122222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-12222222-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20000111100000000-200110000
χ13222222-122222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111220000-1-1-1-100000000-200110000
χ14222222-122222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-122-1-122-2-2-2-2-21122-1-1-1-1-1-1-1-1-2-2-2-21111111111111111-2-20000111100000000200-1-10000
χ15222222-1-2-2222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i32-20000-1-11100000000000−i3i30000
χ16222222-1-2-2222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000−i3i3-2-2111111110000−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3-22000011-1-100000000000i3−i30000
χ17222222-1-2-2222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i32-20000-1-11100000000000i3−i30000
χ18222222-1-2-2222222-1-1-12-1-1-1-122-1-1-1-1-1-1-1-12-1-1-1-1-2-211-2-200000i3−i3-2-2111111110000i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3-22000011-1-100000000000−i3i30000
χ1922222-122222-1-12-1222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-100002200000000-1-1-1-10020000-1-1
χ2022222-122222-1-12-1222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1222-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-10000-2-200000000111100-2000011
χ2122222-122222-1-12-1222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-211111100002200000000-1-1-1-100-2000011
χ2222222-122222-1-12-1222-12-1-1-1-1-122-1-1-1-1-1-1-12-1-1-12-1222-1-2-2-211-2-2-1-122-1-1-1-1-1-11111-2-2111111-2-21111110000-2-20000000011110020000-1-1
χ232222-12222-1-122-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000000-1-1-1-1000002000-1-100
χ242222-12222-1-122-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-122-1-12222-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-2000000111100000-20001100
χ252222-12222-1-122-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-211110022000000-1-1-1-100000-20001100
χ262222-12222-1-122-12222-1-12-1-1-1-1-1-122-1-1-1-1-1-12-1-1-1222-12-211-2-2-2-2-1-1-1-122-1-1-1-1111111-2-2111111-2-2111100-2-20000001111000002000-1-100
χ2722-2-22222-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-20000000000000000000000002-20000000022-2-2000000000
χ2822-2-22222-2-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-2222222-22-2-2200000002-22-22-222-2-2000000000000000000000000-2200000000-2-222000000000
χ2922-2-2222-22-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-22200000000000000000000002-200000022-2-20000000000000
χ3022-2-2222-22-2-2-2-2222-2-222222-2-2-2-2-2-2-2-2-2-222222-22-222-20000000-22-22-22-2-2220000000000000000000000-22000000-2-2220000000000000
χ3122-2-22-122-2-2-2112-12-2-2-12-1-1-111-2-2111111-12-1-1-1212-2-2-1000−i3i300-112-2-11-1-111−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i300002-200000000-1-1110000000−i3i3
χ3222-2-22-122-2-2-2112-12-2-2-12-1-1-111-2-2111111-12-1-1-1212-2-2-1000−i3i300-112-2-11-1-111−i3−i3i3i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i30000-220000000011-1-10000000i3−i3
χ3322-2-22-122-2-2-2112-12-2-2-12-1-1-111-2-2111111-12-1-1-1212-2-2-1000i3−i300-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i300002-200000000-1-1110000000i3−i3
χ3422-2-22-122-2-2-2112-12-2-2-12-1-1-111-2-2111111-12-1-1-1212-2-2-1000i3−i300-112-2-11-1-111i3i3−i3−i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i30000-220000000011-1-10000000−i3i3
χ3522-2-2-122-2211-2-2-122-2-2-1-12-1-11111-2-21111-1-12-1-112-22-1-20−i3i300001-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3002-2000000-1-111000000000−i3i300
χ3622-2-2-122-2211-2-2-122-2-2-1-12-1-11111-2-21111-1-12-1-112-22-1-20−i3i300001-11-1-2211-1-1−i3i3−i3i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i300-2200000011-1-1000000000i3−i300
χ3722-2-2-122-2211-2-2-122-2-2-1-12-1-11111-2-21111-1-12-1-112-22-1-20i3−i300001-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3002-2000000-1-111000000000i3−i300
χ3822-2-2-122-2211-2-2-122-2-2-1-12-1-11111-2-21111-1-12-1-112-22-1-20i3−i300001-11-1-2211-1-1i3−i3i3−i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i300-2200000011-1-1000000000−i3i300
χ3944444-24-4-444-2-24-2444-24-2-2-2-2-244-2-2-2-2-2-2-24-2-2-2-42-4-4-42000000022-4-422222200000000000000000000000000000000000000000000000
χ4044444-2-24444-2-24-2-2-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2444-2-2-2-2-2-2-2-2111111-2-2-2-2-2-2111111-2-2111111000000000000000000000000000
χ4144444-2-24444-2-24-2-2-2-2-2-2111-2-2-2-2111111-2-21114-2-2-24-2-4-4-42222-2-2-2-2111111222222-1-1-1-1-1-122-1-1-1-1-1-1000000000000000000000000000
χ4244444-2-2-4-444-2-24-2-2-2-2-2-2111-2-2-2-2111111-2-2111-4222-4200000−2i32i32222-1-1-1-1-1-10000−2i3−2i3i3i3i3i3i3i32i32i3−i3−i3−i3−i3−i3−i3000000000000000000000000000
χ4344444-2-2-4-444-2-24-2-2-2-2-2-2111-2-2-2-2111111-2-2111-4222-42000002i3−2i32222-1-1-1-1-1-100002i32i3−i3−i3−i3−i3−i3−i3−2i3−2i3i3i3i3i3i3i3000000000000000000000000000
χ444444-244-4-4-2-244-24444-2-24-2-2-2-2-2-244-2-2-2-2-2-24-2-22-4-4-42-400000002222-4-4222200000000000000000000000000000000000000000000000
χ454444-24-244-2-244-24-2-2-2-21-211-2-211-2-21111-21-211-24-2-2-244-2-244-2-2-2-211-2-21111-2-2-2-211-2-2111111-2-21111000000000000000000000000000
χ464444-24-244-2-244-24-2-2-2-21-211-2-211-2-21111-21-211-24-2-2-24-422-4-422-2-211-2-211112222-1-122-1-1-1-1-1-122-1-1-1-1000000000000000000000000000
χ474444-24-2-4-4-2-244-24-2-2-2-21-211-2-211-2-21111-21-2112-4222-400000−2i32i322-1-122-1-1-1-10000i3i3−2i3−2i3i3i3i3i3−i3−i32i32i3−i3−i3−i3−i3000000000000000000000000000
χ484444-24-2-4-4-2-244-24-2-2-2-21-211-2-211-2-21111-21-2112-4222-4000002i3−2i322-1-122-1-1-1-10000−i3−i32i32i3−i3−i3−i3−i3i3i3−2i3−2i3i3i3i3i3000000000000000000000000000
χ494444-2-2444-2-2-2-2-2-24441-2-21111-2-2-2-211111-2-211-2-244-2-24-2-2-2-24411-2-2-2-211111111-2-2-2-21111-2-2-2-21111000000000000000000000000000
χ504444-2-2444-2-2-2-2-2-24441-2-21111-2-2-2-211111-2-211-2-244-2-2-42222-4-411-2-2-2-21111-1-1-1-12222-1-1-1-12222-1-1-1-1000000000000000000000000000
χ514444-2-24-4-4-2-2-2-2-2-24441-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-13-3-3300003-3-3300003-3-33000000000000000000000000000
χ524444-2-24-4-4-2-2-2-2-2-24441-2-21111-2-2-2-211111-2-21122-4-4220000000-1-12222-1-1-1-1-333-30000-333-30000-333-3000000000000000000000000000
χ534444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1−3i32−1+3i32−1−3i32−1+3i3211111111−1−3i32−1+3i32−1+3i32−1−3i321111−1+3i32−1−3i32−1−3i32−1+3i32000000000000000000000000000
χ544444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-4222222111111−1−3i32−1+3i32−1−3i32−1+3i32-1-1-1-1-1-1-1-11+3i321−3i321−3i321+3i32-1-1-1-11−3i321+3i321+3i321−3i32000000000000000000000000000
χ554444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-24-2-2-2-2-2-2111111−1+3i32−1−3i32−1+3i32−1−3i3211111111−1+3i32−1−3i32−1−3i32−1+3i321111−1−3i32−1+3i32−1+3i32−1−3i32000000000000000000000000000
χ564444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-4222222111111−1+3i32−1−3i32−1+3i32−1−3i32-1-1-1-1-1-1-1-11−3i321+3i321+3i321−3i32-1-1-1-11+3i321−3i321−3i321+3i32000000000000000000000000000
χ574444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222200000−2i32i3-1-1-1-1-1-11+3i321−3i321+3i321−3i323-3-33i3i3i3i3−3−i323−i323−i32−3−i32−i3−i3−i3−i3−3+i323+i323+i32−3+i32000000000000000000000000000
χ584444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32222222000002i3−2i3-1-1-1-1-1-11+3i321−3i321+3i321−3i32-333-3−i3−i3−i3−i33+i32−3+i32−3+i323+i32i3i3i3i33−i32−3−i32−3−i323−i32000000000000000000000000000
χ594444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222200000−2i32i3-1-1-1-1-1-11−3i321+3i321−3i321+3i32-333-3i3i3i3i33−i32−3−i32−3−i323−i32−i3−i3−i3−i33+i32−3+i32−3+i323+i32000000000000000000000000000
χ604444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32222222000002i3−2i3-1-1-1-1-1-11−3i321+3i321−3i321+3i323-3-33−i3−i3−i3−i3−3+i323+i323+i32−3+i32i3i3i3i3−3−i323−i323−i32−3−i32000000000000000000000000000
χ6144-4-444-24-4-4-4-4-444-2224-2-2-2-2-4-4222222224-2-2-2-24-4-22-4400000004-4-22-22-2-22200000000000000000000000000000000000000000000000
χ6244-4-444-2-44-4-4-4-444-2224-2-2-2-2-4-4222222224-2-2-2-2-442-24-40000000-442-22-222-2-200000000000000000000000000000000000000000000000
χ6344-4-44-24-44-4-4224-24-4-4-24-2-2-222-4-4222222-24-2-2-2-4-2-444200000002-2-442-222-2-200000000000000000000000000000000000000000000000
χ6444-4-44-2-24-4-4-4224-2-222-2-21112222-1-1-1-1-1-1-2-211142-22-4-2000−2i32i300-22-221-111-1-1−2i3−2i32i32i300i3−i3i3i3−i3−i300i3−i3i3i3−i3−i3000000000000000000000000000
χ6544-4-44-2-24-4-4-4224-2-222-2-21112222-1-1-1-1-1-1-2-211142-22-4-20002i3−2i300-22-221-111-1-12i32i3−2i3−2i300−i3i3−i3−i3i3i300−i3i3−i3−i3i3i3000000000000000000000000000
χ6644-4-44-2-2-44-4-4224-2-222-2-21112222-1-1-1-1-1-1-2-2111-4-22-24200000002-22-2-11-1-1110000003-333-3-300-33-3-333000000000000000000000000000
χ6744-4-44-2-2-44-4-4224-2-222-2-21112222-1-1-1-1-1-1-2-2111-4-22-24200000002-22-2-11-1-111000000-33-3-333003-333-3-3000000000000000000000000000
χ6844-4-4-2444-422-4-4-244-4-4-2-24-2-22222-4-42222-2-24-2-2-2-44-4240000000-22-224-4-2-22200000000000000000000000000000000000000000000000
χ6944-4-4-24-24-422-4-4-24-222-21-21122-1-122-1-1-1-1-21-211-2-4-22240000000-221-1-2211-1-100003-3003-33-3-3300-33-33000000000000000000000000000
χ7044-4-4-24-24-422-4-4-24-222-21-21122-1-122-1-1-1-1-21-211-2-4-22240000000-221-1-2211-1-10000-3300-33-333-3003-33-3000000000000000000000000000
χ7144-4-4-24-2-4422-4-4-24-222-21-21122-1-122-1-1-1-1-21-211242-2-2-40−2i32i300002-2-112-2-1-111−2i32i3−2i32i3i3−i300i3−i3i3−i3i3−i300i3−i3i3−i3000000000000000000000000000
χ7244-4-4-24-2-4422-4-4-24-222-21-21122-1-122-1-1-1-1-21-211242-2-2-402i3−2i300002-2-112-2-1-1112i3−2i32i3−2i3−i3i300−i3i3−i3i3−i3i300−i3i3−i3i3000000000000000000000000000
χ7344-4-4-2-244-42222-2-24-4-41-2-211-1-12222-1-1-1-11-2-211-224-42-2000−2i32i3001-1-22-2211-1-1i3i3−i3−i300−2i32i3i3i3−i3−i300−2i32i3i3i3−i3−i3000000000000000000000000000
χ7444-4-4-2-244-42222-2-24-4-41-2-211-1-12222-1-1-1-11-2-211-224-42-20002i3−2i3001-1-22-2211-1-1−i3−i3i3i3002i3−2i3−i3−i3i3i3002i3−2i3−i3−i3i3i3000000000000000000000000000
χ7544-4-4-2-24-442222-2-24-4-41-2-211-1-12222-1-1-1-11-2-2112-2-44-220−2i32i30000-112-22-2-1-111i3−i3i3−i3−2i32i300i3−i3i3−i3−2i32i300i3−i3i3−i3000000000000000000000000000
χ7644-4-4-2-24-442222-2-24-4-41-2-211-1-12222-1-1-1-11-2-2112-2-44-2202i3−2i30000-112-22-2-1-111−i3i3−i3i32i3−2i300−i3i3−i3i32i3−2i300−i3i3−i3i3000000000000000000000000000
χ7744-4-4-2-2-24-42222-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-2000−2i32i3001-11-11-1−1−3i32−1+3i321+3i321−3i32i3i3−i3−i33-3i3−i3−3−i323−i32−3+i323+i32-33i3−i33−i32−3−i323+i32−3+i32000000000000000000000000000
χ7844-4-4-2-2-24-42222-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-22-222-20002i3−2i3001-11-11-1−1−3i32−1+3i321+3i321−3i32−i3−i3i3i3-33−i3i33+i32−3+i323−i32−3−i323-3−i3i3−3+i323+i32−3−i323−i32000000000000000000000000000
χ7944-4-4-2-2-24-42222-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-2000−2i32i3001-11-11-1−1+3i32−1−3i321−3i321+3i32i3i3−i3−i3-33i3−i33−i32−3−i323+i32−3+i323-3i3−i3−3−i323−i32−3+i323+i32000000000000000000000000000
χ8044-4-4-2-2-24-42222-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-22-222-20002i3−2i3001-11-11-1−1+3i32−1−3i321−3i321+3i32−i3−i3i3i33-3−i3i3−3+i323+i32−3−i323−i32-33−i3i33+i32−3+i323−i32−3−i32000000000000000000000000000
χ8144-4-4-2-2-2-442222-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-220−2i32i30000-11-11-111+3i321−3i32−1−3i32−1+3i32i3−i3i3−i3i3−i33-3−3−i32−3+i323−i323+i32i3−i3-333−i323+i32−3−i32−3+i32000000000000000000000000000
χ8244-4-4-2-2-2-442222-2-2-222111−1−3i32−1+3i32-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i322-22-2-2202i3−2i30000-11-11-111+3i321−3i32−1−3i32−1+3i32−i3i3−i3i3−i3i3-333+i323−i32−3+i32−3−i32−i3i33-3−3+i32−3−i323+i323−i32000000000000000000000000000
χ8344-4-4-2-2-2-442222-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-220−2i32i30000-11-11-111−3i321+3i32−1+3i32−1−3i32i3−i3i3−i3i3−i3-333−i323+i32−3−i32−3+i32i3−i33-3−3−i32−3+i323−i323+i32000000000000000000000000000
χ8444-4-4-2-2-2-442222-2-2-222111−1+3i32−1−3i32-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i322-22-2-2202i3−2i30000-11-11-111−3i321+3i32−1+3i32−1−3i32−i3i3−i3i3−i3i33-3−3+i32−3−i323+i323−i32−i3i3-333+i323−i32−3+i32−3−i32000000000000000000000000000
χ854-44-4444004-44-4-4-4-44-4444444-44-44-44-44-4-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ864-44-444-2004-44-4-4-42-224-2-2-2-24-4-22-22-22-22-4222200000000000000000000000000000000000000000000000000023−2300000000000000000
χ874-44-444-2004-44-4-4-42-224-2-2-2-24-4-22-22-22-22-42222000000000000000000000000000000000000000000000000000−232300000000000000000
χ884-44-44-24004-4-22-42-44-4-24-2-2-2-224-4-22-22-222-42220000000000000000000000000000000000000000000000000000000006−66−6000000000
χ894-44-44-24004-4-22-42-44-4-24-2-2-2-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000−66−66000000000
χ904-44-4-24400-224-42-4-44-4-2-24-2-2-22-224-4-22-2222-422000000000000000000000000000000000000000000000000000006−66−60000000000000
χ914-44-4-24400-224-42-4-44-4-2-24-2-2-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000−66−660000000000000
χ924-4-4444400-44-44-4-4-4-4444444-44-44-44-44-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-200-44-44-4-422-24-2-2-2-2-442-22-22-22-2-42222000000000000000000000000000000000000000000000000023−230000000000000000000
χ944-4-4444-200-44-44-4-422-24-2-2-2-2-442-22-22-22-2-422220000000000000000000000000000000000000000000000000−23230000000000000000000
χ954-4-444-2400-442-2-42-4-44-24-2-2-22-2-442-22-22-22-42220000000000000000000000000000000000000000000000000000000006−6−66000000000
χ964-4-444-2400-442-2-42-4-44-24-2-2-22-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000−666−6000000000
χ974-4-44-244002-2-442-4-4-44-2-24-2-22-22-2-442-22-222-422000000000000000000000000000000000000000000000000000006−6−660000000000000
χ984-4-44-244002-2-442-4-4-44-2-24-2-22-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000−666−60000000000000
χ998-88-88-4-4008-8-44-844-44-4-4222-44-442-22-22-244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-48-400-448-84-84-44-42-422-442-2-442-22-24-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-4800-44-4444-88-82-4-4222-2-44-442-22-2-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4-400-44-44444-44222−1−3i3−1+3i32-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8-4-4-400-44-44444-44222−1+3i3−1−3i32-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1048-8-888-4-400-884-4-8444-4-4-42224-44-4-22-22-2244-2-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1058-8-88-48-4004-4-884-844-4-42-4224-4-224-4-22-224-24-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1068-8-88-4-48004-44-444-8-882-4-422-224-44-4-22-22-244-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-88-4-4-4004-44-44444-4222−1−3i3−1+3i3-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i30000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-4-4004-44-44444-4222−1+3i3−1−3i3-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i30000000000000000000000000000000000000000000000000000000000000000000000

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