Finite Group Databasebeta

← Group #13150618

Character table — Group #13150618

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116
size1111222222446666666666661212121212121212121218181818181818181818181836363636363636363636363611112222224466666666666612121212121212121212181818181818181818181818363636363636363636363636
order122234466612123366666612121212366612121212121244441212121212121212244466121212121212222264466612126666666612121212666612121212121244441212121212121212244466121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1
χ41111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111
χ511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111
χ611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1
χ711111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1
χ811111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-11111111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111
χ92222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-10000000000002222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ102222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-2111111110000000000002222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000
χ11222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1
χ12222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111
χ1322222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-1111100000000000022222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000000000
χ1422222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-100000000000022222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000
χ1522222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-1111111000000000000020-2000011-1-122222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-1111111000000000000020-2000011-1-1
χ1622222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-11111110000000000000-2020000-1-11122222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-11111110000000000000-2020000-1-111
χ1722-2-2200-22-20022-22-2-2-2200002-2-22000000002i−2i00002i2i−2i−2i00000000000022-2-2200-22-20022-22-2-2-2200002-2-22000000002i−2i00002i2i−2i−2i000000000000
χ1822-2-2200-22-20022-22-2-2-2200002-2-2200000000−2i2i0000−2i−2i2i2i00000000000022-2-2200-22-20022-22-2-2-2200002-2-2200000000−2i2i0000−2i−2i2i2i000000000000
χ1922-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i3002i−2i33−3−3−i−iii00000000000022-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i3002i−2i33−3−3−i−iii000000000000
χ2022-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i300−2i2i−3−333ii−i−i00000000000022-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i300−2i2i−3−333ii−i−i000000000000
χ2122-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i3002i−2i−3−333−i−iii00000000000022-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i3002i−2i−3−333−i−iii000000000000
χ2222-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i300−2i2i33−3−3ii−i−i00000000000022-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i300−2i2i33−3−3ii−i−i000000000000
χ232-22-2200-2-2200222-2-22-2-2000022-2-20000002i−2i002i−2i2i−2i00000000000000002-22-2200-2-2200222-2-22-2-2000022-2-20000002i−2i002i−2i2i−2i0000000000000000
χ242-22-2200-2-2200222-2-22-2-2000022-2-2000000−2i2i00−2i2i−2i2i00000000000000002-22-2200-2-2200222-2-22-2-2000022-2-2000000−2i2i00−2i2i−2i2i0000000000000000
χ252-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−32i−2i00−ii−ii−i3i3−i3i30000000000002-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−32i−2i00−ii−ii−i3i3−i3i3000000000000
χ262-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−3−2i2i00i−ii−ii3−i3i3−i30000000000002-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−3−2i2i00i−ii−ii3−i3i3−i3000000000000
χ272-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−332i−2i00−ii−iii3−i3i3−i30000000000002-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−332i−2i00−ii−iii3−i3i3−i3000000000000
χ282-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−33−2i2i00i−ii−i−i3i3−i3i30000000000002-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−33−2i2i00i−ii−i−i3i3−i3i3000000000000
χ292-2-2222i−2i2-2-22i−2i22-2-22-22-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i0000000000000000000000002-2-2222i−2i2-2-22i−2i22-2-22-22-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i000000000000000000000000
χ302-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000−i3i3i3−i3−333−30000000000002-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000−i3i3i3−i3−333−3000000000000
χ312-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000i3−i3−i3i33−3−330000000000002-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000i3−i3−i3i33−3−33000000000000
χ322-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000−i3i33−32-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000−i3i33−3
χ332-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−332-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−33
χ342-2-222−2i2i2-2-2−2i2i22-2-22-22-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i0000000000000000000000002-2-222−2i2i2-2-2−2i2i22-2-22-22-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i000000000000000000000000
χ352-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−330000000000002-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−33000000000000
χ362-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−30000000000002-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−3000000000000
χ372-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−332-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−33
χ382-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−32-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−3
χ39444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000
χ4044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-100000000000000000000000044444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000
χ4144-4-4400-44-400-24242-4-4-20000-222-200000000000000000000000000000044-4-4400-44-400-24242-4-4-20000-222-2000000000000000000000000000000
χ4244-4-4400-44-400-2-22-2222-2−2i3−2i32i32i31-1-1100i3i3−i3−i300000000000000000000000044-4-4400-44-400-2-22-2222-2−2i3−2i32i32i31-1-1100i3i3−i3−i3000000000000000000000000
χ4344-4-4400-44-400-2-22-2222-22i32i3−2i3−2i31-1-1100−i3−i3i3i300000000000000000000000044-4-4400-44-400-2-22-2222-22i32i3−2i3−2i31-1-1100−i3−i3i3i3000000000000000000000000
χ444-44-4400-4-4400-24-2-424-420000-2-2220000000000000000000000000000004-44-4400-4-4400-24-2-424-420000-2-222000000000000000000000000000000
χ454-44-4400-4-4400-2-2-222-22223−2323−2311-1-100−33−330000000000000000000000004-44-4400-4-4400-2-2-222-22223−2323−2311-1-100−33−33000000000000000000000000
χ464-44-4400-4-4400-2-2-222-222−2323−232311-1-1003−33−30000000000000000000000004-44-4400-4-4400-2-2-222-222−2323−232311-1-1003−33−3000000000000000000000000
χ474-4-4444i−4i4-4-44i−4i-2-222-22-22−2i2i2i−2i1-11-1−2i2ii−i−ii0000000000000000000000004-4-4444i−4i4-4-44i−4i-2-222-22-22−2i2i2i−2i1-11-1−2i2ii−i−ii000000000000000000000000
χ484-4-444−4i4i4-4-4−4i4i-2-222-22-222i−2i−2i2i1-11-12i−2i−iii−i0000000000000000000000004-4-444−4i4i4-4-4−4i4i-2-222-22-222i−2i−2i2i1-11-12i−2i−iii−i000000000000000000000000
χ496666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-100006666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-10000
χ506666-366-3-3-3-3-30000000000000000000000000000000000-20-20111100006666-366-3-3-3-3-30000000000000000000000000000000000-20-2011110000
χ516666-3-6-6-3-3-333000000000000000000000000000000000020-20-1-11100006666-3-6-6-3-3-333000000000000000000000000000000000020-20-1-1110000
χ526666-3-6-6-3-3-3330000000000000000000000000000000000-202011-1-100006666-3-6-6-3-3-3330000000000000000000000000000000000-202011-1-10000
χ536-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000−i3i33−300006-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000−i3i33−30000
χ546-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000i3−i3−3300006-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000i3−i3−330000
χ556-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000−i3i3−3300006-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000−i3i3−330000
χ566-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000i3−i33−300006-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000i3−i33−30000
χ571212-12-12-6006-660000000000000000000000000000000000000000000000001212-12-12-6006-66000000000000000000000000000000000000000000000000
χ5812-1212-12-60066-600000000000000000000000000000000000000000000000012-1212-12-60066-6000000000000000000000000000000000000000000000000
χ591111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ601111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ611111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-1-11111
χ621111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-11-11111-1-1-1-1
χ6311111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-11111-1-1
χ6411111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1111111-1-111-1-1-1-111
χ6511111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-111-1-1-111-1-111
χ6611111-1-1111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111-1-111-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-1-1111-1-111-1-1
χ672222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1000000000000-2-2-2-2-2-2-2-2-2-2-2-2-21-21-211-211111111-2-21111-2-2-2-211111111000000000000
χ682222222222222-12-12-1-12-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111000000000000-2-2-2-2-2-2-2-2-2-2-2-2-21-21-211-211111111-2-211112222-1-1-1-1-1-1-1-1000000000000
χ69222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-100000000000002020000-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-21-21-21-2-21-2-2-2-211111111110000000000000-20-200001111
χ70222222222222-12-12-122-12222-1-1-1-1-1-1-1-1-1-10000000000000-20-200001111-2-2-2-2-2-2-2-2-2-2-2-21-21-21-2-21-2-2-2-2111111111100000000000002020000-1-1-1-1
χ7122222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-2111122-2-2-1-1-1-11111000000000000-2-2-2-2-222-2-2-222-21-21-211-2-1-1-1-1111122-1-1-1-1-2-2221111-1-1-1-1000000000000
χ7222222-2-2222-2-22-12-12-1-121111-1-1-1-1-2-21111-2-2221111-1-1-1-1000000000000-2-2-2-2-222-2-2-222-21-21-211-2-1-1-1-1111122-1-1-1-122-2-2-1-1-1-11111000000000000
χ7322222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-1111111000000000000020-2000011-1-1-2-2-2-2-222-2-2-2221-21-21-2-2122221111-1-1-1-1-1-10000000000000-2020000-1-111
χ7422222-2-2222-2-2-12-12-122-1-2-2-2-2-1-1-1-11111110000000000000-2020000-1-111-2-2-2-2-222-2-2-2221-21-21-2-2122221111-1-1-1-1-1-1000000000000020-2000011-1-1
χ7522-2-2200-22-20022-22-2-2-2200002-2-22000000002i−2i00002i2i−2i−2i000000000000-2-222-2002-2200-2-22-2222-20000-222-200000000−2i2i0000−2i−2i2i2i000000000000
χ7622-2-2200-22-20022-22-2-2-2200002-2-2200000000−2i2i0000−2i−2i2i2i000000000000-2-222-2002-2200-2-22-2222-20000-222-2000000002i−2i00002i2i−2i−2i000000000000
χ7722-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i3002i−2i33−3−3−i−iii000000000000-2-222-2002-2200-21212-1-1-2i3i3−i3−i31-1-1100i3i3−i3−i300−2i2i−3−333ii−i−i000000000000
χ7822-2-2200-22-2002-1-2-1-2112−i3−i3i3i3-111-100−i3−i3i3i300−2i2i−3−333ii−i−i000000000000-2-222-2002-2200-21212-1-1-2i3i3−i3−i31-1-1100i3i3−i3−i3002i−2i33−3−3−i−iii000000000000
χ7922-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i3002i−2i−3−333−i−iii000000000000-2-222-2002-2200-21212-1-1-2−i3−i3i3i31-1-1100−i3−i3i3i300−2i2i33−3−3ii−i−i000000000000
χ8022-2-2200-22-2002-1-2-1-2112i3i3−i3−i3-111-100i3i3−i3−i300−2i2i33−3−3ii−i−i000000000000-2-222-2002-2200-21212-1-1-2−i3−i3i3i31-1-1100−i3−i3i3i3002i−2i−3−333−i−iii000000000000
χ812-22-2200-2-2200222-2-22-2-2000022-2-20000002i−2i002i−2i2i−2i0000000000000000-22-22-20022-200-2-2-222-2220000-2-222000000−2i2i00−2i2i−2i2i0000000000000000
χ822-22-2200-2-2200222-2-22-2-2000022-2-2000000−2i2i00−2i2i−2i2i0000000000000000-22-22-20022-200-2-2-222-2220000-2-2220000002i−2i002i−2i2i−2i0000000000000000
χ832-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−32i−2i00−ii−ii−i3i3−i3i3000000000000-22-22-20022-200-21-2-121-12−33−3311-1-100−33−33−2i2i00i−ii−ii3−i3i3−i3000000000000
χ842-22-2200-2-22002-121-2-11-23−33−3-1-111003−33−3−2i2i00i−ii−ii3−i3i3−i3000000000000-22-22-20022-200-21-2-121-12−33−3311-1-100−33−332i−2i00−ii−ii−i3i3−i3i3000000000000
χ852-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−332i−2i00−ii−iii3−i3i3−i3000000000000-22-22-20022-200-21-2-121-123−33−311-1-1003−33−3−2i2i00i−ii−i−i3i3−i3i3000000000000
χ862-22-2200-2-22002-121-2-11-2−33−33-1-11100−33−33−2i2i00i−ii−i−i3i3−i3i3000000000000-22-22-20022-200-21-2-121-123−33−311-1-1003−33−32i−2i00−ii−iii3−i3i3−i3000000000000
χ872-2-2222i−2i2-2-22i−2i22-2-22-22-22i−2i−2i2i2-22-22i−2i2i−2i−2i2i000000000000000000000000-222-2-2−2i2i-222−2i2i-2-222-22-22−2i2i2i−2i-22-22−2i2i−2i2i2i−2i000000000000000000000000
χ882-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000−i3i3i3−i3−333−3000000000000-222-2-2−2i2i-222−2i2i-212-1-2-112i−i−ii1-11-1−2i2ii−i−ii0000i3−i3−i3i33−3−33000000000000
χ892-2-2222i−2i2-2-22i−2i2-1-2121-1-2−iii−i-11-112i−2i−iii−i0000i3−i3−i3i33−3−33000000000000-222-2-2−2i2i-222−2i2i-212-1-2-112i−i−ii1-11-1−2i2ii−i−ii0000−i3i3i3−i3−333−3000000000000
χ902-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000−i3i33−3-222-2-2−2i2i-222−2i2i1-2-1212-2-1−2i2i2i−2i1-11-1i−ii−i−ii00000000000000000000i3−i3−33
χ912-2-2222i−2i2-2-22i−2i-121-2-1-2212i−2i−2i2i-11-11−ii−iii−i00000000000000000000i3−i3−33-222-2-2−2i2i-222−2i2i1-2-1212-2-1−2i2i2i−2i1-11-1i−ii−i−ii00000000000000000000−i3i33−3
χ922-2-222−2i2i2-2-2−2i2i22-2-22-22-2−2i2i2i−2i2-22-2−2i2i−2i2i2i−2i000000000000000000000000-222-2-22i−2i-2222i−2i-2-222-22-222i−2i−2i2i-22-222i−2i2i−2i−2i2i000000000000000000000000
χ932-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000−i3i3i3−i33−3−33000000000000-222-2-22i−2i-2222i−2i-212-1-2-112−iii−i1-11-12i−2i−iii−i0000i3−i3−i3i3−333−3000000000000
χ942-2-222−2i2i2-2-2−2i2i2-1-2121-1-2i−i−ii-11-11−2i2ii−i−ii0000i3−i3−i3i3−333−3000000000000-222-2-22i−2i-2222i−2i-212-1-2-112−iii−i1-11-12i−2i−iii−i0000−i3i3i3−i33−3−33000000000000
χ952-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000−i3i3−33-222-2-22i−2i-2222i−2i1-2-1212-2-12i−2i−2i2i1-11-1−ii−iii−i00000000000000000000i3−i33−3
χ962-2-222−2i2i2-2-2−2i2i-121-2-1-221−2i2i2i−2i-11-11i−ii−i−ii00000000000000000000i3−i33−3-222-2-22i−2i-2222i−2i1-2-1212-2-12i−2i−2i2i1-11-1−ii−iii−i00000000000000000000−i3i3−33
χ97444444444444-2-2-2-2-2-2-2-2-2-2-2-21111-2-21111000000000000000000000000-4-4-4-4-4-4-4-4-4-4-4-4222222222222-1-1-1-122-1-1-1-1000000000000000000000000
χ9844444-4-4444-4-4-2-2-2-2-2-2-2-22222111122-1-1-1-1000000000000000000000000-4-4-4-4-444-4-4-44422222222-2-2-2-2-1-1-1-1-2-21111000000000000000000000000
χ9944-4-4400-44-400-24242-4-4-20000-222-2000000000000000000000000000000-4-444-4004-44002-4-2-4-244200002-2-22000000000000000000000000000000
χ10044-4-4400-44-400-2-22-2222-2−2i3−2i32i32i31-1-1100i3i3−i3−i3000000000000000000000000-4-444-4004-440022-22-2-2-222i32i3−2i3−2i3-111-100−i3−i3i3i3000000000000000000000000
χ10144-4-4400-44-400-2-22-2222-22i32i3−2i3−2i31-1-1100−i3−i3i3i3000000000000000000000000-4-444-4004-440022-22-2-2-22−2i3−2i32i32i3-111-100i3i3−i3−i3000000000000000000000000
χ1024-44-4400-4-4400-24-2-424-420000-2-222000000000000000000000000000000-44-44-40044-4002-424-2-44-2000022-2-2000000000000000000000000000000
χ1034-44-4400-4-4400-2-2-222-22223−2323−2311-1-100−33−33000000000000000000000000-44-44-40044-400222-2-22-2-2−2323−2323-1-111003−33−3000000000000000000000000
χ1044-44-4400-4-4400-2-2-222-222−2323−232311-1-1003−33−3000000000000000000000000-44-44-40044-400222-2-22-2-223−2323−23-1-11100−33−33000000000000000000000000
χ1054-4-4444i−4i4-4-44i−4i-2-222-22-22−2i2i2i−2i1-11-1−2i2ii−i−ii000000000000000000000000-444-4-4−4i4i-444−4i4i22-2-22-22-22i−2i−2i2i-11-112i−2i−iii−i000000000000000000000000
χ1064-4-444−4i4i4-4-4−4i4i-2-222-22-222i−2i−2i2i1-11-12i−2i−iii−i000000000000000000000000-444-4-44i−4i-4444i−4i22-2-22-22-2−2i2i2i−2i-11-11−2i2ii−i−ii000000000000000000000000
χ1076666-366-3-3-3-3-300000000000000000000000000000000002020-1-1-1-10000-6-6-6-63-6-6333330000000000000000000000000000000000-20-2011110000
χ1086666-366-3-3-3-3-30000000000000000000000000000000000-20-2011110000-6-6-6-63-6-63333300000000000000000000000000000000002020-1-1-1-10000
χ1096666-3-6-6-3-3-333000000000000000000000000000000000020-20-1-1110000-6-6-6-6366333-3-30000000000000000000000000000000000-202011-1-10000
χ1106666-3-6-6-3-3-3330000000000000000000000000000000000-202011-1-10000-6-6-6-6366333-3-3000000000000000000000000000000000020-20-1-1110000
χ1116-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000−i3i33−30000-666-63−6i6i3-3-33i−3i00000000000000000000000000000000000000i3−i3−330000
χ1126-6-66-36i−6i-333−3i3i00000000000000000000000000000000000000i3−i3−330000-666-63−6i6i3-3-33i−3i00000000000000000000000000000000000000−i3i33−30000
χ1136-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000−i3i3−330000-666-636i−6i3-3-3−3i3i00000000000000000000000000000000000000i3−i33−30000
χ1146-6-66-3−6i6i-3333i−3i00000000000000000000000000000000000000i3−i33−30000-666-636i−6i3-3-3−3i3i00000000000000000000000000000000000000−i3i3−330000
χ1151212-12-12-6006-66000000000000000000000000000000000000000000000000-12-121212600-66-6000000000000000000000000000000000000000000000000
χ11612-1212-12-60066-6000000000000000000000000000000000000000000000000-1212-1212600-6-66000000000000000000000000000000000000000000000000

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