Finite Group Databasebeta

← Group #13155673

Character table — Group #13155673

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444444444444888888888888121212121212121212121212121212121212121212121212121212121212181818181818181824242424242424242424242436363636363672727272108108
order122233344666666666333666666666121212121212121212123666121212121212121222446666881212121224242424242424242424242424242424444412121212666666121212121212444412121212121288
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ91-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-11-1i−i11-1-11-1ii−i−i11111111-1-1-1-1-1-1-1-1i−ii−iii−i−i1-111-1-1i−iii−i−i1-1i−ii−i1-1i−ii−i
χ101-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-11-1i−i11-1-1-11ii−i−i-1-1-1-1-1-1-1-111111111i−ii−iii−i−i1-111-1-1i−iii−i−i-11−iii−i-11−ii−ii
χ111-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-11-1−ii11-1-11-1−i−iii11111111-1-1-1-1-1-1-1-1−ii−ii−i−iii1-111-1-1−ii−i−iii1-1−ii−ii1-1−ii−ii
χ121-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-11-1−ii11-1-1-11−i−iii-1-1-1-1-1-1-1-111111111−ii−ii−i−iii1-111-1-1−ii−i−iii-11i−i−ii-11i−ii−i
χ131-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-1-11i−i-1-1111-1ii−i−i11111111-1-1-1-1-1-1-1-1−ii−ii−i−iii-11-1-111i−iii−i−i-11i−i−ii-11i−i−ii
χ141-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-1-11i−i-1-111-11ii−i−i-1-1-1-1-1-1-1-111111111−ii−ii−i−iii-11-1-111i−iii−i−i1-1−ii−ii1-1−iii−i
χ151-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-1-11−ii-1-1111-1−i−iii11111111-1-1-1-1-1-1-1-1i−ii−iii−i−i-11-1-111−ii−i−iii-11−iii−i-11−iii−i
χ161-11-11111-1-1-1-111-1-11-1111-1-1-1-1-1111-11-1-1-1-1-111111-1-1111-1-111-1-1-11−ii-1-111-11−i−iii-1-1-1-1-1-1-1-111111111i−ii−iii−i−i-11-1-111−ii−i−iii1-1i−ii−i1-1i−i−ii
χ172222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000022-2-2-2-2-2-2000000000000000022000000
χ182222222-2-2222222222222222222222-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000-2-22222220000000000000000-2-2000000
χ19222222-1222222-1-1-1222-1-122-1-1-12-1-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-100-1-1-1-100000000000000002222-1-1-1-122-1-1-1-122-1-1-1-10000-1-1000000
χ20222222-1222222-1-1-1222-1-122-1-1-12-1-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-1-1-1-10011110000000000000000-2-2-2-2111122-1-1-1-1-2-21111000011000000
χ21222222-1222222-1-1-1222-1-122-1-1-12-1-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-2-222111100-1-1-1-10000000000000000-2-2-2-21111-2-2111122-1-1-1-1000011000000
χ22222222-1222222-1-1-1222-1-122-1-1-12-1-1-1-12-12222222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111100111100000000000000002222-1-1-1-1-2-21111-2-211110000-1-1000000
χ23222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-11-21-2-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i300−i3i3−i3i3000000000000000022-2-2111100−i3i3−i3i300−i3i3−i3i30000-1-1000000
χ24222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-11-21-2-2-2-2-2-2-2-1-1-1-1111111110000−i3i3−i3i300i3−i3i3−i30000000000000000-2-222-1-1-1-100−i3i3−i3i300i3−i3i3−i3000011000000
χ25222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-11-21-2-2-2-2-2-2-2-1-1-1-1111111110000i3−i3i3−i300−i3i3−i3i30000000000000000-2-222-1-1-1-100i3−i3i3−i300−i3i3−i3i3000011000000
χ26222222-1-2-22222-1-1-1222-1-122-1-1-12-1-1-11-21-2-2-2-2-2-2-2-1-1-1-1111111110000i3−i3i3−i300i3−i3i3−i3000000000000000022-2-2111100i3−i3i3−i300i3−i3i3−i30000-1-1000000
χ2722222-12222-1-12222-12-12-1-1-12-1-1-12-12222-1-1-12-1-1-1-1-1-1-12-12-1-1-1-1-12200222222000022-1-1-1-1-1-122-1-1-1-1-1-100000000-1-1-1-1-1-1000000220000-1-10000
χ2822222-12222-1-12222-12-12-1-1-12-1-1-12-12222-1-1-12-1-1-1-1-1-1-12-12-1-1-1-1-122002222-2-20000-2-2111111-2-211111100000000-1-1-1-1-1-1000000-2-20000110000
χ2922222-12222-1-12222-12-12-1-1-12-1-1-12-12222-1-1-12-1-1-1-1-1-1-12-12-1-1-1-1-1-2-200-2-2-2-222000022-1-1-1-1-1-122-1-1-1-1-1-100000000111111000000-2-20000110000
χ3022222-12222-1-12222-12-12-1-1-12-1-1-12-12222-1-1-12-1-1-1-1-1-1-12-12-1-1-1-1-1-2-200-2-2-2-2-2-20000-2-2111111-2-211111100000000111111000000220000-1-10000
χ312222-12222-122-12222-1-1-12-1-1-122-1-12-12-122-1-1-12-1-1-1-1-1-1-12-12-1-1-1-100220000222222-1-122-1-1-1-1-1-122-1-1-1-100000000000000-1-1-1-1-1-100220000-1-100
χ322222-12222-122-12222-1-1-12-1-1-122-1-12-12-122-1-1-12-1-1-1-1-1-1-12-12-1-1-1-100220000-2-2222211-2-2111111-2-2111100000000000000-1-1-1-1-1-100-2-200001100
χ332222-12222-122-12222-1-1-12-1-1-122-1-12-12-122-1-1-12-1-1-1-1-1-1-12-12-1-1-1-100-2-2000022-2-2-2-2-1-122-1-1-1-1-1-122-1-1-1-10000000000000011111100-2-200001100
χ342222-12222-122-12222-1-1-12-1-1-122-1-12-12-122-1-1-12-1-1-1-1-1-1-12-12-1-1-1-100-2-20000-2-2-2-2-2-211-2-2111111-2-211110000000000000011111100220000-1-100
χ352-22-2222-22-2-2-222-2-22-2222-2-2-2-2-2222-2-222222-2-2-2-22-2-22-2-222-2-2220000000000000000000000000000002i−2i−2i2i−2i−2i2i2i00000000000000002i−2i000000
χ362-22-2222-22-2-2-222-2-22-2222-2-2-2-2-2222-2-222222-2-2-2-22-2-22-2-222-2-222000000000000000000000000000000−2i2i2i−2i2i2i−2i−2i0000000000000000−2i2i000000
χ372-22-222-12-2-2-2-22-1112-22-1-1-2-21112-1-11-1-21-2-2-22222-111-1-1-111-1-1112-22i−2i-1-11100−i−iii00000000000000002i−2i2i−2i−i−iii2-2-1-1112i−2i−i−iii0000−ii000000
χ382-22-222-12-2-2-2-22-1112-22-1-1-2-21112-1-11-1-21-2-2-22222-111-1-1-111-1-1112-2−2i2i-1-11100ii−i−i0000000000000000−2i2i−2i2iii−i−i2-2-1-111−2i2iii−i−i0000i−i000000
χ392-22-222-12-2-2-2-22-1112-22-1-1-2-21112-1-11-1-21-2-2-22222-111-1-1-111-1-111-222i−2i11-1-100−i−iii0000000000000000−2i2i−2i2iii−i−i-2211-1-12i−2i−i−iii0000i−i000000
χ402-22-222-12-2-2-2-22-1112-22-1-1-2-21112-1-11-1-21-2-2-22222-111-1-1-111-1-111-22−2i2i11-1-100ii−i−i00000000000000002i−2i2i−2i−i−iii-2211-1-1−2i2iii−i−i0000−ii000000
χ412-22-222-1-22-2-2-22-1112-22-1-1-2-21112-1-1112-1222-2-2-2-2-111-111-1-111-1-10000−i3i3i3−i3003−3−3300000000000000002i−2i−2i2iii−i−i00−i3i3i3−i3003−3−330000−ii000000
χ422-22-222-1-22-2-2-22-1112-22-1-1-2-21112-1-1112-1222-2-2-2-2-111-111-1-111-1-10000−i3i3i3−i300−333−30000000000000000−2i2i2i−2i−i−iii00−i3i3i3−i300−333−30000i−i000000
χ432-22-222-1-22-2-2-22-1112-22-1-1-2-21112-1-1112-1222-2-2-2-2-111-111-1-111-1-10000i3−i3−i3i3003−3−330000000000000000−2i2i2i−2i−i−iii00i3−i3−i3i3003−3−330000i−i000000
χ442-22-222-1-22-2-2-22-1112-22-1-1-2-21112-1-1112-1222-2-2-2-2-111-111-1-111-1-10000i3−i3−i3i300−333−300000000000000002i−2i−2i2iii−i−i00i3−i3−i3i300−333−30000−ii000000
χ452-22-22-122-2-21122-2-2-1-2-12-111-211-12-1-22-2-21112-1-1-1-111-12-1-21-1-1112-20022-2-22-2000022-1-1-1-1-1-1-2-211111100000000-11-1-1110000002-20000-110000
χ462-22-22-122-2-21122-2-2-1-2-12-111-211-12-1-22-2-21112-1-1-1-111-12-1-21-1-1112-20022-2-2-220000-2-211111122-1-1-1-1-1-100000000-11-1-111000000-2200001-10000
χ472-22-22-122-2-21122-2-2-1-2-12-111-211-12-1-22-2-21112-1-1-1-111-12-1-21-1-111-2200-2-2222-2000022-1-1-1-1-1-1-2-2111111000000001-111-1-1000000-2200001-10000
χ482-22-22-122-2-21122-2-2-1-2-12-111-211-12-1-22-2-21112-1-1-1-111-12-1-21-1-111-2200-2-222-220000-2-211111122-1-1-1-1-1-1000000001-111-1-10000002-20000-110000
χ492-22-2-1222-21-2-2-12-2-221-1-12111-2-2-1-12121-2-211-12-1-1-111-1-121-2-1-111002i−2i00002-22i2i−2i−2i-1-122-1-1-1-111-2-2111100000000000000−ii−i−iii002i−2i0000−ii00
χ502-22-2-1222-21-2-2-12-2-221-1-12111-2-2-1-12121-2-211-12-1-1-111-1-121-2-1-111002i−2i0000-222i2i−2i−2i11-2-21111-1-122-1-1-1-100000000000000−ii−i−iii00−2i2i0000i−i00
χ512-22-2-1222-21-2-2-12-2-221-1-12111-2-2-1-12121-2-211-12-1-1-111-1-121-2-1-11100−2i2i00002-2−2i−2i2i2i-1-122-1-1-1-111-2-2111100000000000000i−iii−i−i00−2i2i0000i−i00
χ522-22-2-1222-21-2-2-12-2-221-1-12111-2-2-1-12121-2-211-12-1-1-111-1-121-2-1-11100−2i2i0000-22−2i−2i2i2i11-2-21111-1-122-1-1-1-100000000000000i−iii−i−i002i−2i0000−ii00
χ5344444-24-4-44-2-24444-24-24-2-2-24-2-2-24-24-4-4-4222-4222-2-2-2-2-42-42222200000000000000000000000000000000000000000000000000000000000000
χ5444444-2-2444-2-24-2-2-2-24-2-21-2-2-211-2-21-2-24-2-2-2-24-2-2-21111-21-2111114400-2-2-2-2000000000000000000000000000000-2-21111000000000000000000
χ5544444-2-2444-2-24-2-2-2-24-2-21-2-2-211-2-21-2-24-2-2-2-24-2-2-21111-21-211111-4-400222200000000000000000000000000000022-1-1-1-1000000000000000000
χ5644444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-211-2-21-22-42222-422211112-12-1-1-1-1-10000−2i32i3−2i32i300000000000000000000000000000000i3−i3i3−i3000000000000000000
χ5744444-2-2-4-44-2-24-2-2-2-24-2-21-2-2-211-2-21-22-42222-422211112-12-1-1-1-1-100002i3−2i32i3−2i300000000000000000000000000000000−i3i3−i3i3000000000000000000
χ584444-244-4-4-244-24444-2-2-24-2-2-244-2-24-2-42-4-4222-422-2-2-2-22-42-4222200000000000000000000000000000000000000000000000000000000000000
χ594444-24-244-244-2-2-2-24-2-21-2-2-21-2-2-21-21-2-2-24-2-2-24-2-211111-21-211110044000000-2-2-2-2000000000000000000000000000000-2-21111000000000000
χ604444-24-244-244-2-2-2-24-2-21-2-2-21-2-2-21-21-2-2-24-2-2-24-2-211111-21-2111100-4-4000000222200000000000000000000000000000022-1-1-1-1000000000000
χ614444-24-2-4-4-244-2-2-2-24-2-21-2-2-21-2-2-21-21222-4222-4221111-12-12-1-1-1-10000000000−2i32i3−2i32i300000000000000000000000000000000i3−i3i3−i3000000000000
χ624444-24-2-4-4-244-2-2-2-24-2-21-2-2-21-2-2-21-21222-4222-4221111-12-12-1-1-1-100000000002i3−2i32i3−2i300000000000000000000000000000000−i3i3−i3i3000000000000
χ634444-2-2444-2-2-2-2444-2-21-2-211-2-2-21-2-2-24-24-211-2-2111111-2-2-2-2111100000000440000-2-2-2-21111-2-2-2-2111100000000000000000000000000000000
χ644444-2-2444-2-2-2-2444-2-21-2-211-2-2-21-2-2-24-24-211-2-2111111-2-2-2-2111100000000-4-400002222-1-1-1-12222-1-1-1-100000000000000000000000000000000
χ654444-2-24-4-4-2-2-2-2444-2-21-2-211-2-2-21-2-2-2-42-42-1-122-1-111112222-1-1-1-10000000000000000003i3i−3i−3i00003i3i−3i−3i00000000000000000000000000000000
χ664444-2-24-4-4-2-2-2-2444-2-21-2-211-2-2-21-2-2-2-42-42-1-122-1-111112222-1-1-1-1000000000000000000−3i−3i3i3i0000−3i−3i3i3i00000000000000000000000000000000
χ6744-4-44440044-4-4-44-4-4-44444-444-4-4-4-4-4000000000044-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ6844-4-444-20044-4-42-22-4-44-2-24-4-2-22-42220000000000-2-22200000000000000000000000000000000000000000023−2323−23000000000000000000000000
χ6944-4-444-20044-4-42-22-4-44-2-24-4-2-22-42220000000000-2-222000000000000000000000000000000000000000000−2323−2323000000000000000000000000
χ7044-4-44-24004-22-4-44-42-4-24-2-224-222-42-40000000000-2-2220000000000000000000000006−66−66−6006−66−66−600000000000000000000000000000000
χ7144-4-44-24004-22-4-44-42-4-24-2-224-222-42-40000000000-2-222000000000000000000000000−66−66−6600−66−66−6600000000000000000000000000000000
χ7244-4-4-24400-24-42-44-4-42-2-24-22-24-422-420000000000-2-2220000000000000000000000i6−i600i6−i6−i6i6i6−i600i6−i6−i6i600000000000000000000000000000000
χ7344-4-4-24400-24-42-44-4-42-2-24-22-24-422-420000000000-2-2220000000000000000000000−i6i600−i6i6i6−i6−i6i600−i6i6i6−i600000000000000000000000000000000
χ7444-4-4-2-2400-2-222-44-4221-2-21-1-2-22-122200003i−3i003i−3i11-1-100003i−3i3i−3i00000000000000i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ7544-4-4-2-2400-2-222-44-4221-2-21-1-2-22-122200003i−3i003i−3i11-1-100003i−3i3i−3i00000000000000−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ7644-4-4-2-2400-2-222-44-4221-2-21-1-2-22-12220000−3i3i00−3i3i11-1-10000−3i3i−3i3i00000000000000i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ7744-4-4-2-2400-2-222-44-4221-2-21-1-2-22-12220000−3i3i00−3i3i11-1-10000−3i3i−3i3i00000000000000−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ784-44-44-24-44-42244-4-4-2-4-24-222-422-24-2-4-444-2-2-2-4222-222-2-424-222-2-200000000000000000000000000000000000000000000000000000000000000
χ794-44-44-2-24-4-4224-222-2-4-2-21222-1-1-2-212-2-422224-2-2-21-1-11-212-111-1-14-400-2-222000000000000000000000000000000-2211-1-1000000000000000000
χ804-44-44-2-24-4-4224-222-2-4-2-21222-1-1-2-212-2-422224-2-2-21-1-11-212-111-1-1-440022-2-20000000000000000000000000000002-2-1-111000000000000000000
χ814-44-44-2-2-44-4224-222-2-4-2-21222-1-1-2-21224-2-2-2-2-42221-1-112-1-21-1-1110000−2i32i32i3−2i300000000000000000000000000000000i3−i3−i3i3000000000000000000
χ824-44-44-2-2-44-4224-222-2-4-2-21222-1-1-2-21224-2-2-2-2-42221-1-112-1-21-1-11100002i3−2i3−2i32i300000000000000000000000000000000−i3i3i3−i3000000000000000000
χ834-44-4-244-442-4-4-24-4-442-2-24222-4-4-2-242-4-244-2-22-422-222-22-4-2422-2-200000000000000000000000000000000000000000000000000000000000000
χ844-44-4-24-24-42-4-4-2-22242-21-222-122-21-2-1-222-422-24-2-21-1-111-2-1211-1-1004i−4i000000−2i−2i2i2i000000000000000000000000000000−2i2iii−i−i000000000000
χ854-44-4-24-24-42-4-4-2-22242-21-222-122-21-2-1-222-422-24-2-21-1-111-2-1211-1-100−4i4i0000002i2i−2i−2i0000000000000000000000000000002i−2i−i−iii000000000000
χ864-44-4-24-2-442-4-4-2-22242-21-222-122-21-2-12-2-24-2-22-4221-1-11-121-2-1-111000000000023−23−232300000000000000000000000000000000−333−3000000000000
χ874-44-4-24-2-442-4-4-2-22242-21-222-122-21-2-12-2-24-2-22-4221-1-11-121-2-1-1110000000000−232323−23000000000000000000000000000000003−3−33000000000000
χ884-44-4-2-244-4222-24-4-4-221-2-2-1-12221-2-2242-42-1-1-2-2111-1-11-2-22211-1-1000000004-40000-2-2-2-211112222-1-1-1-100000000000000000000000000000000
χ894-44-4-2-244-4222-24-4-4-221-2-2-1-12221-2-2242-42-1-1-2-2111-1-11-2-22211-1-100000000-4400002222-1-1-1-1-2-2-2-2111100000000000000000000000000000000
χ904-44-4-2-24-44222-24-4-4-221-2-2-1-12221-2-22-4-24-21122-1-11-1-1122-2-2-1-1110000000000000000003i3i−3i−3i0000−3i−3i3i3i00000000000000000000000000000000
χ914-44-4-2-24-44222-24-4-4-221-2-2-1-12221-2-22-4-24-21122-1-11-1-1122-2-2-1-111000000000000000000−3i−3i3i3i00003i3i−3i−3i00000000000000000000000000000000
χ924-4-4444400-4-44-4-4-44-44444-44-4-44-4-4-4400000000004-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-4444-200-4-44-422-2-444-2-2-4422-2-422-20000000000-22-22000000000000000000000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ944-4-4444-200-4-44-422-2-444-2-2-4422-2-422-20000000000-22-220000000000000000000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ954-4-444-2400-42-2-4-4-4424-24-22-2-42-22-4240000000000-22-220000000000000000000000006−66−66−600−66−66−6600000000000000000000000000000000
χ964-4-444-2400-42-2-4-4-4424-24-22-2-42-22-4240000000000-22-22000000000000000000000000−66−66−66006−66−66−600000000000000000000000000000000
χ974-4-44-244002-442-4-44-4-2-2-242-22-4422-4-20000000000-22-220000000000000000000000i6−i600i6−i6−i6i6−i6i600−i6i6i6−i600000000000000000000000000000000
χ984-4-44-244002-442-4-44-4-2-2-242-22-4422-4-20000000000-22-220000000000000000000000−i6i600−i6i6i6−i6i6−i600i6−i6−i6i600000000000000000000000000000000
χ994-4-44-2-240022-22-4-442-21-2-2-1122-2-122-200003i−3i00−3i3i1-11-10000−3i3i3i−3i00000000000000i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300000000000000000000000000000000
χ1004-4-44-2-240022-22-4-442-21-2-2-1122-2-122-200003i−3i00−3i3i1-11-10000−3i3i3i−3i00000000000000−i6i66−6ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ13i6−i6−66−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300000000000000000000000000000000
χ1014-4-44-2-240022-22-4-442-21-2-2-1122-2-122-20000−3i3i003i−3i1-11-100003i−3i−3i3i00000000000000i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ23−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300000000000000000000000000000000
χ1024-4-44-2-240022-22-4-442-21-2-2-1122-2-122-20000−3i3i003i−3i1-11-100003i−3i−3i3i00000000000000−i6i6−66ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23i6−i66−6−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300000000000000000000000000000000
χ1038888-4-4-488-4-4-4-4-4-4-4-4-4222222222222-4-4-4-422-4-422-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000000000000000000000000
χ1048888-4-4-4-8-8-4-4-4-4-4-4-4-4-42222222222224444-2-244-2-2-1-1-1-1-2-2-2-2111100000000000000000000000000000000000000000000000000000000000000
χ10588-8-88-4-4008-44-84-444-8-4-42-44-42-244-24000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-48-400-48-844-44-84-42-4-442-444-24-2000000000022-2-20000000000000000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-400-4-4444-44442222-222-2-2-2-2-200006i−6i006i−6i-1-1110000−3i3i−3i3i00000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-4-4444-44442222-222-2-2-2-2-20000−6i6i00−6i6i-1-11100003i−3i3i−3i00000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-48-8444-4-444-44222-2-2-2-2-2222-2-4444-2-2-4-422-111-122-2-2-1-11100000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-4-88444-4-444-44222-2-2-2-2-2222-24-4-4-42244-2-2-111-1-2-22211-1-100000000000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-400-84-4-844-448-4-424-44-2244-2-400000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1128-8-88-48-4004-88444-4-8-4-42-44-4-24-44-24200000000002-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-40044-4444-44-4222-22-2-22-2-2-2200006i−6i00−6i6i-11-1100003i−3i−3i3i00000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-40044-4444-44-4222-22-2-22-2-2-220000−6i6i006i−6i-11-110000−3i3i3i−3i00000000000000000000000000000000000000000000000000000000000000

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