Finite Group Databasebeta

← Group #13173430

Character table — Group #13173430

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222244444444444444444444444444444444888888888888888888888888888888888888999918181818181836363636363636365454545454545454108108108108
order1222344666333333446666666666666666661212121212121212121212121212121212121212121212121212121212121212121212121212121212124444221212121222666666888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ51111111111111111-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111111-1-1-1-1
χ61111111111111111-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111iiii−i−i−i−i−i−iii
χ81111111111111111-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111−i−i−i−iiiiiii−i−i
χ911111-1-11111111111-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-111-1-111-1-11-11-1
χ1011111-1-11111111111-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111-1-1-111-1-1-1-111-1-111-11-11
χ1111111-1-11111111111-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111ii−i−i−i−iiii−i−ii
χ1211111-1-11111111111-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111−i−iiiii−i−i−iii−i
χ1311111-1-1111111111-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-11-1-1-1-11111-1-111-1-1-11-11
χ1411111-1-1111111111-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-11-1-1-1-111-1-111-1-1111-11-1
χ1511111-1-1111111111-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11-11111-1-1ii−i−i−i−iii−iii−i
χ1611111-1-1111111111-11111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11-11111-1-1−i−iiiii−i−ii−i−ii
χ172222-122-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222222-1-1-1-122-1-1-1-1-1-1000000000000
χ182222-122-1-1-122-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-21111-2-2111111000000000000
χ192222-122-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111222222-1-1-1-1-2-2-1-11111000000000000
χ202222-122-1-1-122-1-1-1-1-2-22222-1-1-1-1-1-1-1-122-1-1-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-2-2-211112211-1-1-1-1000000000000
χ212222-1-2-2-1-1-122-1-1-1-12-22222-1-1-1-1-1-1-1-122-1-1-1-111-1-111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-2111111112222-2-2-1-1-1-12-211-1-111000000000000
χ222222-1-2-2-1-1-122-1-1-1-12-22222-1-1-1-1-1-1-1-122-1-1-1-111-1-111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2221111-22-1-111-1-1000000000000
χ232222-1-2-2-1-1-122-1-1-1-1-222222-1-1-1-1-1-1-1-122-1-1-1-11111-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-12222-2-2-1-1-1-1-221111-1-1000000000000
χ242222-1-2-2-1-1-122-1-1-1-1-222222-1-1-1-1-1-1-1-122-1-1-1-11111-1-1-2-2-2-211111111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-2-2-2-22211112-2-1-1-1-111000000000000
χ2522-2-22002-2-22222220022-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i2i−2i−2i002i2i−2i−2i0000000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ230000
χ2622-2-22002-2-22222220022-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000002i2i−2i−2i002i2i−2i−2i00000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ230000
χ2722-2-22002-2-22222220022-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i−2i2i2i00−2i−2i2i2i00000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ130000
χ2822-2-22002-2-22222220022-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000−2i−2i2i2i00−2i−2i2i2i0000000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ130000
χ292-22-2200-22-222222200-2-222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i2i−2i002i−2i2i−2i000000002ζ7+2ζ23−2ζ7−2ζ2300−2ζ5−2ζ132ζ5+2ζ13000000
χ302-22-2200-22-222222200-2-222-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000002i−2i2i−2i002i−2i2i−2i00000000−2ζ7−2ζ232ζ7+2ζ23002ζ5+2ζ13−2ζ5−2ζ13000000
χ312-22-2200-22-222222200-2-222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i−2i2i00−2i2i−2i2i00000000−2ζ5−2ζ132ζ5+2ζ13002ζ7+2ζ23−2ζ7−2ζ23000000
χ322-22-2200-22-222222200-2-222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000−2i2i−2i2i00−2i2i−2i2i000000002ζ5+2ζ13−2ζ5−2ζ1300−2ζ7−2ζ232ζ7+2ζ23000000
χ332-2-2222-2-2-2222222200-2-2-2-2-2-2-2-2-2-2-2-22222222-2000022-2-22222-2-2-2-20000000000000000000000002-2-222-22-2-22002-20000000000000000
χ342-2-2222-2-2-2222222200-2-2-2-2-2-2-2-2-2-2-2-22222222-2000022-2-22222-2-2-2-2000000000000000000000000-222-2-22-222-200-220000000000000000
χ352-2-222-22-2-2222222200-2-2-2-2-2-2-2-2-2-2-2-2222222-220000-2-222-2-2-2-222220000000000000000000000002-2-22-222-2-2200-220000000000000000
χ362-2-222-22-2-2222222200-2-2-2-2-2-2-2-2-2-2-2-2222222-220000-2-222-2-2-2-22222000000000000000000000000-222-22-2-222-2002-20000000000000000
χ372-2-22-12-211-122-1-1-1-100-2-2-2-21111111122-1-1-1-1-11−i3i3−i3i322-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i32-2-222-2-111-100-11−i3i3−i3i3000000000000
χ382-2-22-12-211-122-1-1-1-100-2-2-2-21111111122-1-1-1-1-11−i3i3−i3i322-2-2-1-1-1-111110000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3-222-2-221-1-11001-1i3−i3i3−i3000000000000
χ392-2-22-12-211-122-1-1-1-100-2-2-2-21111111122-1-1-1-1-11i3−i3i3−i322-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i32-2-222-2-111-100-11i3−i3i3−i3000000000000
χ402-2-22-12-211-122-1-1-1-100-2-2-2-21111111122-1-1-1-1-11i3−i3i3−i322-2-2-1-1-1-111110000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3-222-2-221-1-11001-1−i3i3−i3i3000000000000
χ412-2-22-1-2211-122-1-1-1-100-2-2-2-21111111122-1-1-1-11-1−i3i3i3−i3-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i32-2-22-22-111-1001-1−i3i3i3−i3000000000000
χ422-2-22-1-2211-122-1-1-1-100-2-2-2-21111111122-1-1-1-11-1−i3i3i3−i3-2-2221111-1-1-1-10000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-222-22-21-1-1100-11i3−i3−i3i3000000000000
χ432-2-22-1-2211-122-1-1-1-100-2-2-2-21111111122-1-1-1-11-1i3−i3−i3i3-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i32-2-22-22-111-1001-1i3−i3−i3i3000000000000
χ442-2-22-1-2211-122-1-1-1-100-2-2-2-21111111122-1-1-1-11-1i3−i3−i3i3-2-2221111-1-1-1-10000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-222-22-21-1-1100-11−i3i3i3−i3000000000000
χ4544444444441-211-2-2441-21-211-2-211-2-21-211-2-24444441-21-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-2000000000000000000000000000000
χ4644444444441-211-2-2-4-41-21-211-2-211-2-21-211-2-244-4-4-4-41-21-211-2-211-2-2-1-122-1-122-1-122-1-122-1-122-1-122000000000000000000000000000000
χ474444444444-21-2-21144-21-21-2-211-2-211-21-2-211444444-21-21-2-211-2-211-2-211-2-211-2-211-2-211-2-211-2-211000000000000000000000000000000
χ484444444444-21-2-211-4-4-21-21-2-211-2-211-21-2-21144-4-4-4-4-21-21-2-211-2-21122-1-122-1-122-1-122-1-122-1-122-1-1000000000000000000000000000000
χ4944444-4-44441-211-2-24-41-21-211-2-211-2-21-211-2-2-4-444-4-4-12-12-1-122-1-12211-2-211-2-211-2-2-1-122-1-122-1-122000000000000000000000000000000
χ5044444-4-44441-211-2-2-441-21-211-2-211-2-21-211-2-2-4-4-4-444-12-12-1-122-1-122-1-122-1-122-1-12211-2-211-2-211-2-2000000000000000000000000000000
χ5144444-4-4444-21-2-2114-4-21-21-2-211-2-211-21-2-211-4-444-4-42-12-122-1-122-1-1-2-211-2-211-2-21122-1-122-1-122-1-1000000000000000000000000000000
χ5244444-4-4444-21-2-211-44-21-21-2-211-2-211-21-2-211-4-4-4-4442-12-122-1-122-1-122-1-122-1-122-1-1-2-211-2-211-2-211000000000000000000000000000000
χ534444-244-2-2-21-2−1−3i32−1+3i3211441-21-2−1−3i32−1+3i3211−1−3i32−1+3i32111-2−1−3i32−1+3i3211-2-2-2-2-2-21-21-2−1−3i32−1+3i3211−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i321111-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211000000000000000000000000000000
χ544444-244-2-2-21-2−1−3i32−1+3i3211-4-41-21-2−1−3i32−1+3i3211−1−3i32−1+3i32111-2−1−3i32−1+3i3211-2-222221-21-2−1−3i32−1+3i3211−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-1-1-1221+3i321−3i32-1-11+3i321−3i32-1-1000000000000000000000000000000
χ554444-244-2-2-21-2−1+3i32−1−3i3211441-21-2−1+3i32−1−3i3211−1+3i32−1−3i32111-2−1+3i32−1−3i3211-2-2-2-2-2-21-21-2−1+3i32−1−3i3211−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i321111-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211000000000000000000000000000000
χ564444-244-2-2-21-2−1+3i32−1−3i3211-4-41-21-2−1+3i32−1−3i3211−1+3i32−1−3i32111-2−1+3i32−1−3i3211-2-222221-21-2−1+3i32−1−3i3211−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-1-1-1221−3i321+3i32-1-11−3i321+3i32-1-1000000000000000000000000000000
χ574444-244-2-2-2-2111−1−3i32−1+3i3244-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-2-2-2-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i32000000000000000000000000000000
χ584444-244-2-2-2-2111−1−3i32−1+3i32-4-4-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-22222-21-2111−1−3i32−1+3i3211−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i32000000000000000000000000000000
χ594444-244-2-2-2-2111−1+3i32−1−3i3244-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-2-2-2-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i32000000000000000000000000000000
χ604444-244-2-2-2-2111−1+3i32−1−3i32-4-4-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-22222-21-2111−1+3i32−1−3i3211−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i32000000000000000000000000000000
χ614444-2-4-4-2-2-21-2−1−3i32−1+3i32114-41-21-2−1−3i32−1+3i3211−1−3i32−1+3i32111-2−1−3i32−1+3i321122-2-222-12-121+3i321−3i32-1-11+3i321−3i32-1-111-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211-1-1221+3i321−3i32-1-11+3i321−3i32-1-1000000000000000000000000000000
χ624444-2-4-4-2-2-21-2−1−3i32−1+3i3211-441-21-2−1−3i32−1+3i3211−1−3i32−1+3i32111-2−1−3i32−1+3i32112222-2-2-12-121+3i321−3i32-1-11+3i321−3i32-1-1-1-1221+3i321−3i32-1-11+3i321−3i32-1-111-2-2−1−3i32−1+3i3211−1−3i32−1+3i3211000000000000000000000000000000
χ634444-2-4-4-2-2-21-2−1+3i32−1−3i32114-41-21-2−1+3i32−1−3i3211−1+3i32−1−3i32111-2−1+3i32−1−3i321122-2-222-12-121−3i321+3i32-1-11−3i321+3i32-1-111-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211-1-1221−3i321+3i32-1-11−3i321+3i32-1-1000000000000000000000000000000
χ644444-2-4-4-2-2-21-2−1+3i32−1−3i3211-441-21-2−1+3i32−1−3i3211−1+3i32−1−3i32111-2−1+3i32−1−3i32112222-2-2-12-121−3i321+3i32-1-11−3i321+3i32-1-1-1-1221−3i321+3i32-1-11−3i321+3i32-1-111-2-2−1+3i32−1−3i3211−1+3i32−1−3i3211000000000000000000000000000000
χ654444-2-4-4-2-2-2-2111−1−3i32−1+3i324-4-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2111−1−3i32−1+3i3222-2-2222-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i32000000000000000000000000000000
χ664444-2-4-4-2-2-2-2111−1−3i32−1+3i32-44-21-2111−1−3i32−1+3i3211−1−3i32−1+3i32-2111−1−3i32−1+3i322222-2-22-12-1-1-11+3i321−3i32-1-11+3i321−3i3222-1-1-1-11+3i321−3i32-1-11+3i321−3i32-2-21111−1−3i32−1+3i3211−1−3i32−1+3i32000000000000000000000000000000
χ674444-2-4-4-2-2-2-2111−1+3i32−1−3i324-4-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2111−1+3i32−1−3i3222-2-2222-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i32000000000000000000000000000000
χ684444-2-4-4-2-2-2-2111−1+3i32−1−3i32-44-21-2111−1+3i32−1−3i3211−1+3i32−1−3i32-2111−1+3i32−1−3i322222-2-22-12-1-1-11−3i321+3i32-1-11−3i321+3i3222-1-1-1-11−3i321+3i32-1-11−3i321+3i32-2-21111−1+3i32−1−3i3211−1+3i32−1−3i32000000000000000000000000000000
χ6944-4-4-200-22244-2-2-2-20044-4-4-2-2-2-22222-4-422220000000000000000000000000000000000000000004i4i−4i−4i00−2i−2i2i2i00000000000000000000
χ7044-4-4-200-22244-2-2-2-20044-4-4-2-2-2-22222-4-42222000000000000000000000000000000000000000000−4i−4i4i4i002i2i−2i−2i00000000000000000000
χ714-44-4-2002-2244-2-2-2-200-4-4442222-2-2-2-2-4-422220000000000000000000000000000000000000000004i−4i4i−4i00−2i2i−2i2i00000000000000000000
χ724-44-4-2002-2244-2-2-2-200-4-4442222-2-2-2-2-4-42222000000000000000000000000000000000000000000−4i4i−4i4i002i−2i2i−2i00000000000000000000
χ734-4-4444-4-4-441-211-2-200-12-12-1-122-1-1221-211-2-24-400001-2-1211-2-2-1-1223-3003-300-33003-3003-300-3300000000000000000000000000000000
χ744-4-4444-4-4-441-211-2-200-12-12-1-122-1-1221-211-2-24-400001-2-1211-2-2-1-122-3300-33003-300-3300-33003-300000000000000000000000000000000
χ754-4-4444-4-4-44-21-2-211002-12-122-1-122-1-1-21-2-2114-40000-212-1-2-21122-1-1003-3003-300-33003-3003-300-33000000000000000000000000000000
χ764-4-4444-4-4-44-21-2-211002-12-122-1-122-1-1-21-2-2114-40000-212-1-2-21122-1-100-3300-33003-300-3300-33003-3000000000000000000000000000000
χ774-4-444-44-4-441-211-2-200-12-12-1-122-1-1221-211-2-2-440000-121-2-1-12211-2-23-3003-300-3300-3300-33003-300000000000000000000000000000000
χ784-4-444-44-4-441-211-2-200-12-12-1-122-1-1221-211-2-2-440000-121-2-1-12211-2-2-3300-33003-3003-3003-300-3300000000000000000000000000000000
χ794-4-444-44-4-44-21-2-211002-12-122-1-122-1-1-21-2-211-4400002-1-2122-1-1-2-211003-3003-300-3300-3300-33003-3000000000000000000000000000000
χ804-4-444-44-4-44-21-2-211002-12-122-1-122-1-1-21-2-211-4400002-1-2122-1-1-2-21100-3300-33003-3003-3003-300-33000000000000000000000000000000
χ814-4-44-24-422-21-2−1−3i32−1+3i321100-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i3211-22−2i32i3−2i32i31-2-12−1−3i32−1+3i32111+3i321−3i32-1-13-300−3−i323−i32i3i33+i32−3+i32−i3−i33-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000000000000000000000000
χ824-4-44-24-422-21-2−1−3i32−1+3i321100-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i3211-222i3−2i32i3−2i31-2-12−1−3i32−1+3i32111+3i321−3i32-1-1-33003+i32−3+i32−i3−i3−3−i323−i32i3i3-33003+i32−3+i32−i3−i3−3−i323−i32i3i3000000000000000000000000000000
χ834-4-44-24-422-21-2−1+3i32−1−3i321100-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i3211-22−2i32i3−2i32i31-2-12−1+3i32−1−3i32111−3i321+3i32-1-1-33003−i32−3−i32i3i3−3+i323+i32−i3−i3-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000000000000000000000000
χ844-4-44-24-422-21-2−1+3i32−1−3i321100-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i3211-222i3−2i32i3−2i31-2-12−1+3i32−1−3i32111−3i321+3i32-1-13-300−3+i323+i32−i3−i33−i32−3−i32i3i33-300−3+i323+i32−i3−i33−i32−3−i32i3i3000000000000000000000000000000
χ854-4-44-24-422-2-2111−1−3i32−1+3i32002-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i32-22−2i32i3−2i32i3-212-111−1−3i32−1+3i32-1-11+3i321−3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000000000000000000000000
χ864-4-44-24-422-2-2111−1−3i32−1+3i32002-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i32-222i3−2i32i3−2i3-212-111−1−3i32−1+3i32-1-11+3i321−3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32000000000000000000000000000000
χ874-4-44-24-422-2-2111−1+3i32−1−3i32002-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i32-22−2i32i3−2i32i3-212-111−1+3i32−1−3i32-1-11−3i321+3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32000000000000000000000000000000
χ884-4-44-24-422-2-2111−1+3i32−1−3i32002-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i32-222i3−2i32i3−2i3-212-111−1+3i32−1−3i32-1-11−3i321+3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32000000000000000000000000000000
χ894-4-44-2-4422-21-2−1−3i32−1+3i321100-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i32112-2−2i32i32i3−2i3-121-21+3i321−3i32-1-1−1−3i32−1+3i32113-300−3−i323−i32i3i33+i32−3+i32−i3−i3-33003+i32−3+i32−i3−i3−3−i323−i32i3i3000000000000000000000000000000
χ904-4-44-2-4422-21-2−1−3i32−1+3i321100-12-121+3i321−3i32-1-11+3i321−3i32-1-11-2−1−3i32−1+3i32112-22i3−2i3−2i32i3-121-21+3i321−3i32-1-1−1−3i32−1+3i3211-33003+i32−3+i32−i3−i3−3−i323−i32i3i33-300−3−i323−i32i3i33+i32−3+i32−i3−i3000000000000000000000000000000
χ914-4-44-2-4422-21-2−1+3i32−1−3i321100-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i32112-2−2i32i32i3−2i3-121-21−3i321+3i32-1-1−1+3i32−1−3i3211-33003−i32−3−i32i3i3−3+i323+i32−i3−i33-300−3+i323+i32−i3−i33−i32−3−i32i3i3000000000000000000000000000000
χ924-4-44-2-4422-21-2−1+3i32−1−3i321100-12-121−3i321+3i32-1-11−3i321+3i32-1-11-2−1+3i32−1−3i32112-22i3−2i3−2i32i3-121-21−3i321+3i32-1-1−1+3i32−1−3i32113-300−3+i323+i32−i3−i33−i32−3−i32i3i3-33003−i32−3−i32i3i3−3+i323+i32−i3−i3000000000000000000000000000000
χ934-4-44-2-4422-2-2111−1−3i32−1+3i32002-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i322-2−2i32i32i3−2i32-1-21-1-11+3i321−3i3211−1−3i32−1+3i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32000000000000000000000000000000
χ944-4-44-2-4422-2-2111−1−3i32−1+3i32002-12-1-1-11+3i321−3i32-1-11+3i321−3i32-2111−1−3i32−1+3i322-22i3−2i3−2i32i32-1-21-1-11+3i321−3i3211−1−3i32−1+3i3200-33−i3−i33+i32−3+i32i3i3−3−i323−i32003-3i3i3−3−i323−i32−i3−i33+i32−3+i32000000000000000000000000000000
χ954-4-44-2-4422-2-2111−1+3i32−1−3i32002-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i322-2−2i32i32i3−2i32-1-21-1-11−3i321+3i3211−1+3i32−1−3i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i32000000000000000000000000000000
χ964-4-44-2-4422-2-2111−1+3i32−1−3i32002-12-1-1-11−3i321+3i32-1-11−3i321+3i32-2111−1+3i32−1−3i322-22i3−2i3−2i32i32-1-21-1-11−3i321+3i3211−1+3i32−1−3i32003-3−i3−i3−3+i323+i32i3i33−i32−3−i3200-33i3i33−i32−3−i32−i3−i3−3+i323+i32000000000000000000000000000000
χ9788-8-88008-8-82-422-4-4002-4-2422-4-4-2-244-24-2-244000000000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-88008-8-8-42-4-42200-424-2-4-42244-2-24-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-400-4442-4−1−3i3−1+3i322002-4-24−1−3i3−1+3i3221+3i31−3i3-2-2-241+3i31−3i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-400-4442-4−1+3i3−1−3i322002-4-24−1+3i3−1−3i3221−3i31+3i3-2-2-241−3i31+3i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10188-8-8-400-444-4222−1−3i3−1+3i300-424-222−1−3i3−1+3i3-2-21+3i31−3i34-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ10288-8-8-400-444-4222−1+3i3−1−3i300-424-222−1+3i3−1−3i3-2-21−3i31+3i34-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1038-88-8800-88-82-422-4-400-242-4-2-24422-4-4-24-2-244000000000000000000000000000000000000000000000000000000000000000000000000
χ1048-88-8800-88-8-42-4-422004-2-4244-2-2-4-4224-244-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1058-88-8-4004-442-4−1−3i3−1+3i32200-242-41+3i31−3i3-2-2−1−3i3−1+3i322-241+3i31−3i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1068-88-8-4004-442-4−1+3i3−1−3i32200-242-41−3i31+3i3-2-2−1+3i3−1−3i322-241−3i31+3i3-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-4004-44-4222−1−3i3−1+3i3004-2-42-2-21+3i31−3i322−1−3i3−1+3i34-2-2-21+3i31−3i3000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-88-8-4004-44-4222−1+3i3−1−3i3004-2-42-2-21−3i31+3i322−1+3i3−1−3i34-2-2-21−3i31+3i3000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.