Finite Group Databasebeta

← Group #13161988

Character table — Group #13161988

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222444444444444444444444444444444448888888888888888888888888888888888181818181818181836363636363636363636363636363636363636363636363672727272
order122233344666666666333334466666666666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212122244121212122244446666668888242424242424242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111
χ511111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ611111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1
χ711111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1111111-1-1
χ811111111111111111111111-1-11111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-11111-1-1-1-1-1-111
χ91-11-11111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1i−ii−i1-111-1-1i−ii−iii−i−iii−i−ii−ii−i
χ101-11-11111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11-111-1-11-1−ii−ii1-111-1-1−ii−ii−i−iii−i−iii−ii−ii
χ111-11-11111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11i−i−ii-11-1-111i−i−iiii−i−i−i−iiii−i−ii
χ121-11-11111-1-1-1-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-111-1-111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-11−iii−i-11-1-111−iii−i−i−iiiii−i−i−iii−i
χ131-11-11111-1-1-1-1-1111-1-111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-11i−ii−i1-1-1-111−ii−ii−i−iii−i−iiii−ii−i
χ141-11-11111-1-1-1-1-1111-1-111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-111-1-1-11−ii−ii1-1-1-111i−ii−iii−i−iii−i−i−ii−ii
χ151-11-11111-1-1-1-1-1111-1-111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1111-1i−i−ii-1111-1-1−iii−i−i−iiiii−i−ii−i−ii
χ161-11-11111-1-1-1-1-1111-1-111111-11-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-11-11-1-1111-1−iii−i-1111-1-1i−i−iiii−i−i−i−iii−iii−i
χ172222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-20000000000000000000022-2-2-2-2-2-20000002200000000000000000000
χ182222222-2-22222222222222200222222222222222-2-2-2-20000-2-20000-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2222222000000-2-200000000000000000000
χ19222222-12222-1-122-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1220000-1-1-1-1-1-10000000000000000
χ20222222-12222-1-122-1222-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-12222222-1-1-1-12-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-21111-2-200001111110000000000000000
χ21222222-12222-1-122-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-2111111112222-1-1-1-1-2-20000-1-111110000000000000000
χ22222222-12222-1-122-1222-1-1-1-1-2-222-1-1-1-1-1-1-1-12-1-1-1-122-1-1111122-2-2-2-22-1-1-1-12-1-1-1-1-2-211111111-2-211111111-2-2-2-2111122000011-1-1-1-10000000000000000
χ23222222-1-2-222-1-122-1222-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3i3−i3i3-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i322-2-21111000000-1-1−i3i3−i3i30000000000000000
χ24222222-1-2-222-1-122-1222-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211−i3i3−i3i3-2-20000-21111-2111100−i3−i3−i3−i3i3i3i3i300−i3−i3−i3−i3i3i3i3i3-2-222-1-1-1-100000011i3−i3i3−i30000000000000000
χ25222222-1-2-222-1-122-1222-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3−i3i3−i3-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i322-2-21111000000-1-1i3−i3i3−i30000000000000000
χ26222222-1-2-222-1-122-1222-1-1-1-10022-1-1-1-1-1-1-1-12-1-1-1-1-2-211i3−i3i3−i3-2-20000-21111-2111100i3i3i3i3−i3−i3−i3−i300i3i3i3i3−i3−i3−i3−i3-2-222-1-1-1-100000011−i3i3−i3i30000000000000000
χ2722222-12222-1222-122-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-10000000000002200000000220000-1-1-1-100-1-1
χ2822222-12222-1222-122-1-12-1-1-122-1-122-1-1-1-1-1-1-12-1-1-12-12222222-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1-1000000000000-2-200000000-2-2000011110011
χ2922222-12222-1222-122-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-21-21-12-1-1-1-12-1-1-111-2111-211111-2111-21110000000000002200000000-2-20000111100-1-1
χ3022222-12222-1222-122-1-12-1-1-1-2-2-1-122-1-1-1-1-1-1-12-1-1-12-122-2-2-2-22-1-21-21-12-1-1-1-12-1-1-111-2111-211111-2111-2111000000000000-2-200000000220000-1-1-1-10011
χ312222-12222-1222-122-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-1000000000022000000002200-1-1-1-10000-1-100
χ322222-12222-1222-122-12-1-12-1-122-1-1-1-122-1-1-1-1-1-12-1-1-12222222-12-12-12-1-12-1-1-1-12-1-1-1-1-12-1-1-12-1-1-1-1-12-1-1-12-1-10000000000-2-200000000-2-200111100001100
χ332222-12222-1222-122-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-121-21-2-1-12-1-1-1-12-1-1111-2111-211111-2111-21100000000002200000000-2-20011110000-1-100
χ342222-12222-1222-122-12-1-12-1-1-2-2-1-1-1-122-1-1-1-1-1-12-1-1-1222-2-2-2-2-121-21-2-1-12-1-1-1-12-1-1111-2111-211111-2111-2110000000000-2-2000000002200-1-1-1-100001100
χ352-22-2222-22-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-2-2-2-2-222222000000000000000000002-2-22-2-2220000002-200000000000000000000
χ362-22-2222-22-2-2-2-2222-2-22222200-2-2-2-2-2-2-2-2-2-222222-2-2-220000220000-2-2-2-2-22222200000000000000000000-222-222-2-2000000-2200000000000000000000
χ372-22-222-12-2-2-21122-1-2-22-1-1-1-12-2-2-2111111112-1-1-1-122-11-1-111-2-222-2-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-2111111112-22-2-1-1112-20000-11-1-1110000000000000000
χ382-22-222-12-2-2-21122-1-2-22-1-1-1-12-2-2-2111111112-1-1-1-122-11-1-111-2-222-2-22-1-1-1-1-2111122-1-1-1-1-1-1-1-1-2-211111111-22-2211-1-1-2200001-111-1-10000000000000000
χ392-22-222-12-2-2-21122-1-2-22-1-1-1-1-22-2-2111111112-1-1-1-122-1111-1-1-2-2-2-2222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-12-22-2-1-111-220000-1111-1-10000000000000000
χ402-22-222-12-2-2-21122-1-2-22-1-1-1-1-22-2-2111111112-1-1-1-122-1111-1-1-2-2-2-2222-1-1-1-1-21111-2-21111111122-1-1-1-1-1-1-1-1-22-2211-1-12-200001-1-1-1110000000000000000
χ412-22-222-1-22-2-21122-1-2-22-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i32-2-2211-1-1000000-11−i3i3i3−i30000000000000000
χ422-22-222-1-22-2-21122-1-2-22-1-1-1-100-2-2111111112-1-1-1-1-2-21-1−i3i3i3−i3220000-211112-1-1-1-100−i3−i3−i3−i3i3i3i3i300i3i3i3i3−i3−i3−i3−i3-222-2-1-1110000001-1i3−i3−i3i30000000000000000
χ432-22-222-1-22-2-21122-1-2-22-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i32-2-2211-1-1000000-11i3−i3−i3i30000000000000000
χ442-22-222-1-22-2-21122-1-2-22-1-1-1-100-2-2111111112-1-1-1-1-2-21-1i3−i3−i3i3220000-211112-1-1-1-100i3i3i3i3−i3−i3−i3−i300−i3−i3−i3−i3i3i3i3i3-222-2-1-1110000001-1−i3i3i3−i30000000000000000
χ452-22-22-122-2-21-2-22-12-21-12-1-1-12-211-2-2111111-12-1-1-12-12-222-2-2-212-1-21-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-21110000000000002i−2i000000002i−2i0000−i−iii00−ii
χ462-22-22-122-2-21-2-22-12-21-12-1-1-12-211-2-2111111-12-1-1-12-12-222-2-2-212-1-21-12-1-1-11-2111-1-12-1-1-12-1-1-111-2111-2111000000000000−2i2i00000000−2i2i0000ii−i−i00i−i
χ472-22-22-122-2-21-2-22-12-21-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-2-222-21-212-1-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-10000000000002i−2i00000000−2i2i0000ii−i−i00−ii
χ482-22-22-122-2-21-2-22-12-21-12-1-1-1-2211-2-2111111-12-1-1-12-12-2-2-222-21-212-1-12-1-1-11-211111-2111-2111-1-12-1-1-12-1-1-1000000000000−2i2i000000002i−2i0000−i−iii00i−i
χ492-22-2-1222-21-2-2-2-1221-2-1-12-1-12-21111-2-21111-1-12-1-1-122-222-2-21-2-121-2-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-21100000000002i−2i000000002i−2i00−i−iii0000−ii00
χ502-22-2-1222-21-2-2-2-1221-2-1-12-1-12-21111-2-21111-1-12-1-1-122-222-2-21-2-121-2-1-12-1-111-211-1-1-12-1-1-12-1-1111-2111-2110000000000−2i2i00000000−2i2i00ii−i−i0000i−i00
χ512-22-2-1222-21-2-2-2-1221-2-1-12-1-1-221111-2-21111-1-12-1-1-122-2-2-2221-21-2-12-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-100000000002i−2i00000000−2i2i00ii−i−i0000−ii00
χ522-22-2-1222-21-2-2-2-1221-2-1-12-1-1-221111-2-21111-1-12-1-1-122-2-2-2221-21-2-12-1-12-1-111-211111-2111-211-1-1-12-1-1-12-1-10000000000−2i2i000000002i−2i00−i−iii0000i−i00
χ5344444-24-4-44-2444-244-2-24-2-2-200-2-244-2-2-2-2-2-2-24-2-2-2-42-4-40000-4200002-42222-422200000000000000000000000000000000000000000000000000000000
χ5444444-2-2444-2-2-24-2-24-2-2-211144-2-2-2-2111111-2-21114-2-2-2-2-2-2-24-24-24-2-2-2111-2-2111-2-2-2111-2111-2-2-2111-2111000000000000000000000000000000000000
χ5544444-2-2444-2-2-24-2-24-2-2-2111-4-4-2-2-2-2111111-2-21114-2-2-222224-2-42-42-2-2111-2-2111222-1-1-12-1-1-1222-1-1-12-1-1-1000000000000000000000000000000000000
χ5644444-2-2-4-44-2-2-24-2-24-2-2-211100-2-2-2-2111111-2-2111-4222−2i32i3−2i32i3-42000022-1-1-122-1-1-100−2i3i3i3i32i3−i3−i3−i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000
χ5744444-2-2-4-44-2-2-24-2-24-2-2-211100-2-2-2-2111111-2-2111-42222i3−2i32i3−2i3-42000022-1-1-122-1-1-1002i3−i3−i3−i3−2i3i3i3i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000
χ584444-244-4-4-2444-244-24-2-24-2-200-2-2-2-244-2-2-2-2-2-24-2-22-4-4-400002-4000022-42222-42200000000000000000000000000000000000000000000000000000000
χ594444-24-244-24-2-2-24-2-24-21-21144-2-211-2-21111-21-211-24-2-2-2-2-2-2-24-24-24-21-211-21-211-2-21-2111-211-2-21-2111-211000000000000000000000000000000000000
χ604444-24-244-24-2-2-24-2-24-21-211-4-4-2-211-2-21111-21-211-24-2-22222-242-42-4-21-211-21-21122-12-1-1-12-1-122-12-1-1-12-1-1000000000000000000000000000000000000
χ614444-24-2-4-4-24-2-2-24-2-24-21-21100-2-211-2-21111-21-2112-422−2i32i3−2i32i32-400002-12-1-12-12-1-100i3−2i3i3i3−i32i3−i3−i300i3−2i3i3i3−i32i3−i3−i3000000000000000000000000000000000000
χ624444-24-2-4-4-24-2-2-24-2-24-21-21100-2-211-2-21111-21-2112-4222i3−2i32i3−2i32-400002-12-1-12-12-1-100−i32i3−i3−i3i3−2i3i3i300−i32i3−i3−i3i3−2i3i3i3000000000000000000000000000000000000
χ634444-2-2444-2-244-2-24-2-21-2-2114411-2-2-2-211111-2-211-2-2444444-2-2-2-2-2-21-2-2111-2-21111-2-211-2-21111-2-211-2-211000000000000000000000000000000000000
χ644444-2-2444-2-244-2-24-2-21-2-211-4-411-2-2-2-211111-2-211-2-244-4-4-4-4-2-222221-2-2111-2-211-1-122-1-122-1-1-1-122-1-122-1-1000000000000000000000000000000000000
χ654444-2-24-4-4-2-244-2-24-2-21-2-2110011-2-2-2-211111-2-21122-4-40000220000-122-1-1-122-1-13-3003-3003-33-3003-3003-3000000000000000000000000000000000000
χ664444-2-24-4-4-2-244-2-24-2-21-2-2110011-2-2-2-211111-2-21122-4-40000220000-122-1-1-122-1-1-3300-3300-33-3300-3300-33000000000000000000000000000000000000
χ674444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3244111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32111−1−3i32−1+3i321111−1−3i32−1+3i3211−1+3i32−1−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000000000000000
χ684444-2-2-244-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i32-4-4111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i32-2-2-2-22222-2-22222111−1−3i32−1+3i32111−1−3i32−1+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000000000000000
χ694444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3244111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-2-2-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32111−1+3i32−1−3i321111−1+3i32−1−3i3211−1−3i32−1+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000000000000000000
χ704444-2-2-244-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i32-4-4111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i32-2-2-2-22222-2-22222111−1+3i32−1−3i32111−1+3i32−1−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32000000000000000000000000000000000000
χ714444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i322222−2i32i3−2i32i3220000-1-1-11+3i321−3i32-1-1-11+3i321−3i323-3i3i3−3−i323−i32−i3−i3−3+i323+i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32000000000000000000000000000000000000
χ724444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1−3i32−1+3i3200111111−1−3i32−1−3i32−1+3i32−1+3i32111−1−3i32−1+3i3222222i3−2i32i3−2i3220000-1-1-11+3i321−3i32-1-1-11+3i321−3i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32000000000000000000000000000000000000
χ734444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i322222−2i32i3−2i32i3220000-1-1-11−3i321+3i32-1-1-11−3i321+3i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32000000000000000000000000000000000000
χ744444-2-2-2-4-4-2-2-2-2-2-2-2-2-2111−1+3i32−1−3i3200111111−1+3i32−1+3i32−1−3i32−1−3i32111−1+3i32−1−3i3222222i3−2i32i3−2i3220000-1-1-11−3i321+3i32-1-1-11−3i321+3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000
χ7544-4-444400444-4-4-4-4-4-444444004-44-44-44-44-4-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-444-20044-22-4-42-4-44-2-2-2-2004-4-22-22-22-22-4222200000000000000000000000000000000000000000000000023−2323−230000000000000000000000000000
χ7744-4-444-20044-22-4-42-4-44-2-2-2-2004-4-22-22-22-22-42222000000000000000000000000000000000000000000000000−2323−23230000000000000000000000000000
χ7844-4-44-24004-24-4-42-4-42-24-2-2-200-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000000000000000000i6−i6i6−i60000
χ7944-4-44-24004-24-4-42-4-42-24-2-2-200-224-4-22-22-222-4222000000000000000000000000000000000000000000000000000000000000000000000000−i6i6−i6i60000
χ8044-4-4-24400-244-42-4-42-4-2-24-2-200-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000000000000000000i6−i6i6−i600000000
χ8144-4-4-24400-244-42-4-42-4-2-24-2-200-22-224-4-22-2222-42200000000000000000000000000000000000000000000000000000000000000000000−i6i6−i6i600000000
χ824-44-44-24-44-42-4-44-24-42-24-2-2-20022-4-4222222-24-2-2-2-42-4400004-200002-4222-24-2-2-200000000000000000000000000000000000000000000000000000000
χ834-44-44-2-24-4-42224-2-2-42-2-21114-42222-1-1-1-1-1-1-2-21114-2-22-2-222-424-2-42-2-211122-1-1-1-2-2-2111-2111222-1-1-12-1-1-1000000000000000000000000000000000000
χ844-44-44-2-24-4-42224-2-2-42-2-2111-442222-1-1-1-1-1-1-2-21114-2-2222-2-2-42-424-2-2-211122-1-1-1222-1-1-12-1-1-1-2-2-2111-2111000000000000000000000000000000000000
χ854-44-44-2-2-44-42224-2-2-42-2-2111002222-1-1-1-1-1-1-2-2111-422-2−2i32i32i3−2i34-2000022-1-1-1-2-211100−2i3i3i3i32i3−i3−i3−i3002i3−i3−i3−i3−2i3i3i3i3000000000000000000000000000000000000
χ864-44-44-2-2-44-42224-2-2-42-2-2111002222-1-1-1-1-1-1-2-2111-422-22i3−2i3−2i32i34-2000022-1-1-1-2-2111002i3−i3−i3−i3−2i3i3i3i300−2i3i3i3i32i3−i3−i3−i3000000000000000000000000000000000000
χ874-44-4-244-442-4-4-4-2442-4-2-24-2-2002222-4-42222-2-24-2-22-4-440000-24000022-422-2-24-2-200000000000000000000000000000000000000000000000000000000
χ884-44-4-24-24-42-422-24-22-4-21-2114-422-1-122-1-1-1-1-21-211-24-22-2-2222-4-242-4-21-2112-12-1-1-2-21-2111-21122-12-1-1-12-1-1000000000000000000000000000000000000
χ894-44-4-24-24-42-422-24-22-4-21-211-4422-1-122-1-1-1-1-21-211-24-2222-2-22-42-4-24-21-2112-12-1-122-12-1-1-12-1-1-2-21-2111-211000000000000000000000000000000000000
χ904-44-4-24-2-442-422-24-22-4-21-2110022-1-122-1-1-1-1-21-2112-42-2−2i32i32i3−2i3-2400002-12-1-1-21-21100i3−2i3i3i3−i32i3−i3−i300−i32i3−i3−i3i3−2i3i3i3000000000000000000000000000000000000
χ914-44-4-24-2-442-422-24-22-4-21-2110022-1-122-1-1-1-1-21-2112-42-22i3−2i3−2i32i3-2400002-12-1-1-21-21100−i32i3−i3−i3i3−2i3i3i300i3−2i3i3i3−i32i3−i3−i3000000000000000000000000000000000000
χ924-44-4-2-244-422-4-4-2-24221-2-2114-4-1-12222-1-1-1-11-2-211-2-24-444-4-422-2-2221-2-211-122-1-111-2-211-2-211-1-122-1-122-1-1000000000000000000000000000000000000
χ934-44-4-2-244-422-4-4-2-24221-2-211-44-1-12222-1-1-1-11-2-211-2-24-4-4-4442222-2-21-2-211-122-1-1-1-122-1-122-1-111-2-211-2-211000000000000000000000000000000000000
χ944-44-4-2-24-4422-4-4-2-24221-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-122-1-11-2-2113-3003-3003-3-3300-3300-33000000000000000000000000000000000000
χ954-44-4-2-24-4422-4-4-2-24221-2-21100-1-12222-1-1-1-11-2-21122-440000-2-20000-122-1-11-2-211-3300-3300-333-3003-3003-3000000000000000000000000000000000000
χ964-44-4-2-2-24-42222-2-2-222111−1−3i32−1+3i324-4-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-2-2-22-2-22222-2-222111−1−3i32−1+3i32-1-1-11+3i321−3i321111−1−3i32−1+3i3211−1+3i32−1−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i32000000000000000000000000000000000000
χ974-44-4-2-2-24-42222-2-2-222111−1−3i32−1+3i32-44-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32-2-2-2222-2-22222-2-2111−1−3i32−1+3i32-1-1-11+3i321−3i32-1-1-1-11+3i321−3i32-1-11−3i321+3i321111−1−3i32−1+3i3211−1+3i32−1−3i32000000000000000000000000000000000000
χ984-44-4-2-2-24-42222-2-2-222111−1+3i32−1−3i324-4-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-2-2-22-2-22222-2-222111−1+3i32−1−3i32-1-1-11−3i321+3i321111−1+3i32−1−3i3211−1−3i32−1+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i32000000000000000000000000000000000000
χ994-44-4-2-2-24-42222-2-2-222111−1+3i32−1−3i32-44-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32-2-2-2222-2-22222-2-2111−1+3i32−1−3i32-1-1-11−3i321+3i32-1-1-1-11−3i321+3i32-1-11+3i321−3i321111−1+3i32−1−3i3211−1−3i32−1+3i32000000000000000000000000000000000000
χ1004-44-4-2-2-2-442222-2-2-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32222-2−2i32i32i3−2i3-2-20000-1-1-11+3i321−3i32111−1−3i32−1+3i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32-33−i3−i33+i32−3+i32i3i33−i32−3−i32000000000000000000000000000000000000
χ1014-44-4-2-2-2-442222-2-2-222111−1−3i32−1+3i3200-1-1-1-1-1-11+3i321+3i321−3i321−3i32111−1−3i32−1+3i32222-22i3−2i3−2i32i3-2-20000-1-1-11+3i321−3i32111−1−3i32−1+3i32-33−i3−i33+i32−3+i32i3i33−i32−3−i323-3i3i3−3−i323−i32−i3−i3−3+i323+i32000000000000000000000000000000000000
χ1024-44-4-2-2-2-442222-2-2-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32222-2−2i32i32i3−2i3-2-20000-1-1-11−3i321+3i32111−1+3i32−1−3i32-33i3i33−i32−3−i32−i3−i33+i32−3+i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32000000000000000000000000000000000000
χ1034-44-4-2-2-2-442222-2-2-222111−1+3i32−1−3i3200-1-1-1-1-1-11−3i321−3i321+3i321+3i32111−1+3i32−1−3i32222-22i3−2i3−2i32i3-2-20000-1-1-11−3i321+3i32111−1+3i32−1−3i323-3−i3−i3−3+i323+i32i3i3−3−i323−i32-33i3i33−i32−3−i32−i3−i33+i32−3+i32000000000000000000000000000000000000
χ1044-4-4444400-4-4-44-4-4-4444444400-44-44-44-44-44-4-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1054-4-4444-200-4-42-2-4-42444-2-2-2-200-442-22-22-22-2-4222200000000000000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ1064-4-4444-200-4-42-2-4-42444-2-2-2-200-442-22-22-22-2-42222000000000000000000000000000000000000000000000000−232323−230000000000000000000000000000
χ1074-4-444-2400-42-44-42-44-2-24-2-2-2002-2-442-22-22-22-42220000000000000000000000000000000000000000000000000000000000000000000000006−6−660000
χ1084-4-444-2400-42-44-42-44-2-24-2-2-2002-2-442-22-22-22-4222000000000000000000000000000000000000000000000000000000000000000000000000−666−60000
χ1094-4-44-244002-4-442-4-4-24-2-24-2-2002-22-2-442-22-222-422000000000000000000000000000000000000000000000000000000000000000000006−6−6600000000
χ1104-4-44-244002-4-442-4-4-24-2-24-2-2002-22-2-442-22-222-42200000000000000000000000000000000000000000000000000000000000000000000−666−600000000
χ11188-8-88-4-4008-4-44-844-84-4-422200-44-442-22-22-244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-48-400-48-444-844-8-42-42200-442-2-442-22-24-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11388-8-8-4-4800-4-48-844-8442-4-422002-2-44-442-22-2-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11488-8-8-4-4-400-4-4-4444444222−1−3i3−1+3i3002-22-22-2−1−3i31+3i3−1+3i31−3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ11588-8-8-4-4-400-4-4-4444444222−1+3i3−1−3i3002-22-22-2−1+3i31−3i3−1−3i31+3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1168-8-888-4-400-844-4-8448-4-4-4222004-44-4-22-22-2244-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1178-8-88-48-4004-84-44-84-48-42-422004-4-224-4-22-224-24-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1188-8-88-4-480044-8844-8-4-42-4-42200-224-44-4-22-22-244-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1198-8-88-4-4-400444-4444-4-4222−1−3i3−1+3i300-22-22-221+3i3−1−3i31−3i3−1+3i3-2-2-21+3i31−3i300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1208-8-88-4-4-400444-4444-4-4222−1+3i3−1−3i300-22-22-221−3i3−1+3i31+3i3−1−3i3-2-2-21−3i31+3i300000000000000000000000000000000000000000000000000000000000000000000000000000000

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