Finite Group Databasebeta

← Group #13155744

Character table — Group #13155744

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444444444888888888888881212121212121212121212121212181818181818181824242424242424242424242424242424242424243636363636363636363636363636108108
order1244233346661212121212123336666661212121212121212123666666121212121212122244668812122424242488882424242466666661212121212121224242424242444881212121224242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111111111111-11-1111111111111111111-11-111-1-1-11-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-11-111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ511111111111111111111111111111111111111111111111111-11-11-1-111-1-11111-1-1-1-1-1-1-1-11-11-1-1111-11-1-11111111111-1-11111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1111111111-11-1-1111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ711111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1111111
χ811111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ911-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-111i−i-1-1ii−i−iii−i−iii−i−i1111111-1-1-1-1-1-1-1i−iii−i−ii−i1-1ii−i−ii−i11-1-1i−i
χ1011-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-111-1-111−ii-1-1−i−iii−i−iii−i−iii1111111-1-1-1-1-1-1-1−ii−i−iii−ii1-1−i−iii−ii11-1-1−ii
χ1111-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-1-1111i−i-1-1ii−i−iii−i−iii−i−i-11-111-1-11-11-1-111i−iii−i−i−ii-11−i−iiii−i-1-111−ii
χ1211-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-11-1-1111−ii-1-1−i−iii−i−iii−i−iii-11-111-1-11-11-1-111−ii−i−iiii−i-11ii−i−i−ii-1-111i−i
χ1311-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-111-1-1-1i−i11ii−i−i−i−iii−i−iii1-11-1-111-11-111-1-1i−iii−i−ii−i-11ii−i−i−ii-1-111−ii
χ1411-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-111-1-1-1−ii11−i−iiiii−i−iii−i−i1-11-1-111-11-111-1-1−ii−i−iii−ii-11−i−iiii−i-1-111i−i
χ1511-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1i−i11ii−i−i−i−iii−i−iii-1-1-1-1-1-1-11111111i−iii−i−i−ii1-1−i−iii−ii11-1-1i−i
χ1611-1-1-11111111-1-1-1-1-1-1111-1-1111-111-1-1-1-1-1-111-1-1-1-1-1111111-1-1-1-111-1-1−ii11−i−iiiii−i−iii−i−i-1-1-1-1-1-1-11111111−ii−i−iiii−i1-1ii−i−ii−i11-1-1−ii
χ172222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-122222200220000000000002-1-1-1-1-1-12-1-1-1-1-1-10000000022000000-1-1-1-100
χ182222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-12-22-2220022000000000000-2-11-1-111-2-11-1-11100000000-2-2000000111100
χ192222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-1-22-22-2-200-2-200000000000021-111-1-121-111-1-100000000-2-2000000111100
χ202222222-1222-1-1-122222-1-12-12-1-1222-1-1-1-122-1-12-1-1-1-1-12-1-1-1-1-1-1-2-2-2-2-2-200-2-2000000000000-2111111-21111110000000022000000-1-1-1-100
χ21222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-12020-1-122-1-1-1-1-1-12222-1-1-1-1020-1-100020-1-10022-1-1-1-100000000-1-1000000
χ22222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-12020-1-1-2-2-1-11111-2-2-2-21111020-1-100020-1-100-2-211110000000011000000
χ23222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-1-20-20112211-1-1-1-1-2-2-2-211110-2011000-20110022-1-1-1-10000000011000000
χ24222222-1222-122222-1-1-12-1-12-12-122-122-1-1-1-12-1-12-1-1-1-1-12-1-1-1-1-1-20-2011-2-21111112222-1-1-1-10-2011000-201100-2-2111100000000-1-1000000
χ2522222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-10202002200222200000000-10200-1-1-10200-1-1-1-1-1-1-1-12200-1-1-1-100000000
χ2622222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-1020200-2-200-2-2-2-200000000-10200-1-1-10200-1-1111111-2-200111100000000
χ2722222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-10-20-200220022220000000010-2001110-20011-1-1-1-1-1-1-2-200111100000000
χ2822222-1222-12222-1-122-1-1222-1-12-1-12-1-122-1-12-1-1-12-1-1-1-1-12-1-1-1-10-20-200-2-200-2-2-2-20000000010-2001110-200111111112200-1-1-1-100000000
χ292222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-222000000000000002-22-222220000000000000000000000000000-2-2000000
χ302222-2222-2222222222222-2-2222-2-2-2222222-22-2-2-2-2-22-2-2-2-2-22200000000000000-22-22-2-2-2-2000000000000000000000000000022000000
χ312222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-10000−i3i300−i3i3−i3i3−i3i32-22-2-1-1-1-1000−i3i300000−i3i30000−i3i3−i3i30000000011000000
χ322222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-10000−i3i300−i3i3i3−i3i3−i3-22-221111000−i3i300000−i3i30000i3−i3i3−i300000000-1-1000000
χ332222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-10000i3−i300i3−i3−i3i3−i3i3-22-221111000i3−i300000i3−i30000−i3i3−i3i300000000-1-1000000
χ342222-22-12-22-122222-1-1-12-11-2-12-1-2-2122-1-1-1-1-2-11-2111-11-2111-1-10000i3−i300i3−i3i3−i3i3−i32-22-2-1-1-1-1000i3−i300000i3−i30000i3−i3i3−i30000000011000000
χ3522-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2000000000000002i−2i−2i2i2i2i−2i−2i0000000000000000000000000000−2i2i000000
χ3622-2-22222-2222-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-200000000000000−2i2i2i−2i−2i−2i2i2i00000000000000000000000000002i−2i000000
χ3722-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111110000−i3i300i3−i33−3−332i−2i−2i2i−i−iii000−i3i300000i3−i300003−3−3300000000i−i000000
χ3822-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111110000−i3i300i3−i3−333−3−2i2i2i−2iii−i−i000−i3i300000i3−i30000−333−300000000−ii000000
χ3922-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111110000i3−i300−i3i33−3−33−2i2i2i−2iii−i−i000i3−i300000−i3i300003−3−3300000000−ii000000
χ4022-2-222-12-22-12-2-2-2-211-12-1-12-12-12-21-2-21111-2-1-12-1-1-1-11-2111110000i3−i300−i3i3−333−32i−2i−2i2i−i−iii000i3−i300000−i3i30000−333−300000000i−i000000
χ4122-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-11122-2-22200-2-20000000000002-1-1-1-1-1-1-2111111000000002-2000000-1-11100
χ4222-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-1112-2-222200-2-2000000000000-2-11-1-11121-111-1-100000000-2200000011-1-100
χ4322-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-111-222-2-2-2002200000000000021-111-1-1-2-11-1-11100000000-2200000011-1-100
χ4422-2-2-222-1222-111-2-2-2-22-1-1-212-1-1-2221111-2-2-1-1-21111-12-1-1-1-111-2-222-2-20022000000000000-21111112-1-1-1-1-1-1000000002-2000000-1-11100
χ4522-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-11120-20-1-12i−2i11−i−iii2i2i−2i−2i−i−iii020-1-1000-2011002i−2i−i−iii00000000−ii000000
χ4622-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-11120-20-1-1−2i2i11ii−i−i−2i−2i2i2iii−i−i020-1-1000-201100−2i2iii−i−i00000000i−i000000
χ4722-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-111-2020112i−2i-1-1−i−iii−2i−2i2i2iii−i−i0-201100020-1-1002i−2i−i−iii00000000i−i000000
χ4822-2-2-22-1222-12-2-2-2-211-12-11-2-12-1-22-1-2-211112-11-2111-1-12-1-1-111-202011−2i2i-1-1ii−i−i2i2i−2i−2i−i−iii0-201100020-1-100−2i2iii−i−i00000000−ii000000
χ4922-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-111020-2002i−2i002i2i−2i−2i00000000-10200-1-110-20011−ii−i−iii2i−2i00−i−iii00000000
χ5022-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-111020-200−2i2i00−2i−2i2i2i00000000-10200-1-110-20011i−iii−i−i−2i2i00ii−i−i00000000
χ5122-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-1110-202002i−2i002i2i−2i−2i0000000010-20011-10200-1-1−ii−i−iii−2i2i00ii−i−i00000000
χ5222-2-2-2-1222-122-2-211-2-2-1-12-2-2-1-121-1211-2-2112-111-211-1-1-12-1-1110-20200−2i2i00−2i−2i2i2i0000000010-20011-10200-1-1i−iii−i−i2i−2i00−i−iii00000000
χ53444444-2-244-2-2-2-244-2-2-2-21-2-2-2-2144-2-2-211-2-2-21-2-21111-2-2111114040-2-200-2-20000000000000-2011000-2011000000000000000000000000
χ54444444-2-244-2-2-2-244-2-2-2-21-2-2-2-2144-2-2-211-2-2-21-2-21111-2-211111-40-40220022000000000000020-1-100020-1-1000000000000000000000000
χ5544444-24-24-24-2-2-2-2-244-21-24-2-21-2-2-2411-2-2-2-2-21-21-2111-21-211110404000000000000000000-20-20011-20-200110000000000000000000000
χ5644444-24-24-24-2-2-2-2-244-21-24-2-21-2-2-2411-2-2-2-2-21-21-2111-21-211110-40-400000000000000000020200-1-120200-1-10000000000000000000000
χ5744444-2-244-2-2444-2-2-2-21-2-2-241-2-2-2-2-2-2-2-2-211411-2-21111-2-211110000004400-2-2-2-20000000000000000000000-2-211110000000000000000
χ5844444-2-244-2-2444-2-2-2-21-2-2-241-2-2-2-2-2-2-2-2-211411-2-21111-2-21111000000-4-4002222000000000000000000000022-1-1-1-10000000000000000
χ594444-444-2-444-2-2-244444-2-2-424-2-2-4-4-4-2-2-2-2442-2-42222-2-42222-2-20000000000000000000000000000000000000000000000000000000000
χ604444-44-2-2-44-2-2-2-244-2-2-2-2122-2-21-4-42-2-211-2-22122-1-1-1122-1-1-1110000−2i32i300−2i32i3000000000000000i3−i300000i3−i3000000000000000000000000
χ614444-44-2-2-44-2-2-2-244-2-2-2-2122-2-21-4-42-2-211-2-22122-1-1-1122-1-1-11100002i3−2i3002i3−2i3000000000000000−i3i300000−i3i3000000000000000000000000
χ624444-4-244-4-24444-2-244-2-24-4-4-2-2422-4-2-244-2-2-4-222-422-222-422-2-20000000000000000000000000000000000000000000000000000000000
χ634444-4-24-2-4-24-2-2-2-2-244-21-2-42-21-222-411-2-2-2-2212-12-1-112-12-1-1110000000000000000000000000003-3000003-30000000000000000000000
χ644444-4-24-2-4-24-2-2-2-2-244-21-2-42-21-222-411-2-2-2-2212-12-1-112-12-1-111000000000000000000000000000-3300000-330000000000000000000000
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χ664444-4-2-24-4-2-2444-2-2-2-21-2-22-41-2-2222-2-2-2-211-41-122-1-11-122-1-11100000000002i3−2i32i3−2i3000000000000000000000000−i3i3−i3i30000000000000000
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χ6944-4-444-2-2-44-2-222-4-422-2-21-2-2-2-214-4222-1-12221-2-2111122-1-1-1-1-100002i3−2i300−2i32i3000000000000000−i3i300000i3−i3000000000000000000000000
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χ7244-4-44-24-2-4-24-22222-4-4-21-24-2-21-2-22-4-1-1222221-21-21112-12-1-1-1-1000000000000000000000000000-33000003-30000000000000000000000
χ7344-4-44-2-24-4-2-24-4-422221-2-2-241-2-2-2222222-1-1-411-2-2111-122-1-1-1-1000000000023−23−2323000000000000000000000000−333−30000000000000000
χ7444-4-44-2-24-4-2-24-4-422221-2-2-241-2-2-2222222-1-1-411-2-2111-122-1-1-1-10000000000−232323−230000000000000000000000003−3−330000000000000000
χ7544-4-4-44-2-244-2-222-4-422-2-2122-2-21-44-222-1-122-2122-1-1-11-2-2111-1-140-40-2-200220000000000000-201100020-1-1000000000000000000000000
χ7644-4-4-44-2-244-2-222-4-422-2-2122-2-21-44-222-1-122-2122-1-1-11-2-2111-1-1-40402200-2-2000000000000020-1-1000-2011000000000000000000000000
χ7744-4-4-4-24-24-24-22222-4-4-21-2-42-21-22-24-1-12222-212-12-1-11-21-211-1-1040-4000000000000000000-20-2001120200-1-10000000000000000000000
χ7844-4-4-4-24-24-24-22222-4-4-21-2-42-21-22-24-1-12222-212-12-1-11-21-211-1-10-40400000000000000000020200-1-1-20-200110000000000000000000000
χ7944-4-4-4-2-244-2-24-4-422221-2-22-41-2-22-2-22222-1-141-122-1-111-2-211-1-10000004i−4i00−2i−2i2i2i0000000000000000000000−2i2iii−i−i0000000000000000
χ8044-4-4-4-2-244-2-24-4-422221-2-22-41-2-22-2-22222-1-141-122-1-111-2-211-1-1000000−4i4i002i2i−2i−2i00000000000000000000002i−2i−i−iii0000000000000000
χ814-44i−4i04440-4-4-44i−4i4i−4i4i−4i44400-4-4-40004i−4i4i−4i4i−4i0400000-4000004i−4i0000000000000000000000000000000000000000000000000000000000
χ824-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200-422000−2i2i−2i2i4i−4i0-200000200000−2i2i0000000000000000000000000000000000000000000000000000i6−i66−600
χ834-44i−4i044-20-4-42−2i2i4i−4i4i−4i4-2-200-422000−2i2i−2i2i4i−4i0-200000200000−2i2i0000000000000000000000000000000000000000000000000000−i6i6−6600
χ844-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2002-420004i−4i−2i2i−2i2i0-200000200000−2i2i000000000000000000−2ζ7+2ζ232ζ7−2ζ232ζ5−2ζ13−2ζ5+2ζ13000000000000000000000000000000000000
χ854-44i−4i04-240-42-44i−4i4i−4i−2i2i-24-2002-420004i−4i−2i2i−2i2i0-200000200000−2i2i0000000000000000002ζ7−2ζ23−2ζ7+2ζ23−2ζ5+2ζ132ζ5−2ζ13000000000000000000000000000000000000
χ864-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-4000−2i2i4i−4i−2i2i0-200000200000−2i2i0000000000000000000000000000000000000000000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ2200000000
χ874-44i−4i0-24402-4-44i−4i−2i2i4i−4i-2-240022-4000−2i2i4i−4i−2i2i0-200000200000−2i2i0000000000000000000000000000000000000000000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ2200000000
χ884-4−4i4i04440-4-4-4−4i4i−4i4i−4i4i44400-4-4-4000−4i4i−4i4i−4i4i0400000-400000−4i4i0000000000000000000000000000000000000000000000000000000000
χ894-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200-4220002i−2i2i−2i−4i4i0-2000002000002i−2i0000000000000000000000000000000000000000000000000000i6−i6−6600
χ904-4−4i4i044-20-4-422i−2i−4i4i−4i4i4-2-200-4220002i−2i2i−2i−4i4i0-2000002000002i−2i0000000000000000000000000000000000000000000000000000−i6i66−600
χ914-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2002-42000−4i4i2i−2i2i−2i0-2000002000002i−2i0000000000000000002ζ5−2ζ13−2ζ5+2ζ13−2ζ7+2ζ232ζ7−2ζ23000000000000000000000000000000000000
χ924-4−4i4i04-240-42-4−4i4i−4i4i2i−2i-24-2002-42000−4i4i2i−2i2i−2i0-2000002000002i−2i000000000000000000−2ζ5+2ζ132ζ5−2ζ132ζ7−2ζ23−2ζ7+2ζ23000000000000000000000000000000000000
χ934-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-40002i−2i−4i4i2i−2i0-2000002000002i−2i0000000000000000000000000000000000000000000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ2200000000
χ944-4−4i4i0-24402-4-4−4i4i2i−2i−4i4i-2-240022-40002i−2i−4i4i2i−2i0-2000002000002i−2i0000000000000000000000000000000000000000000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ2200000000
χ9588888-4-4-48-4-4-4-4-4-4-4-4-4222-4-4222-4-4-4222222-4-1222-1-1-1222-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ968888-8-4-4-4-8-4-4-4-4-4-4-4-4-4222442224442222224-1-2-2-211-1-2-2-211-1-10000000000000000000000000000000000000000000000000000000000
χ9788-8-88-4-4-4-8-4-4-4444444222-4-4222-444-2-2-2-2-2-24-1222-1-1-1-2-2-211110000000000000000000000000000000000000000000000000000000000
χ9888-8-8-8-4-4-48-4-4-4444444222442224-4-4-2-2-2-2-2-2-4-1-2-2-211-1222-1-1110000000000000000000000000000000000000000000000000000000000
χ998-88i−8i08-4-40-844−4i4i8i−8i−4i4i-4-420044-2000−4i4i2i−2i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1008-88i−8i0-48-404-84−4i4i−4i4i8i−8i-42-4004-240002i−2i−4i4i−4i4i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1018-88i−8i0-4-48044-88i−8i−4i4i−4i4i2-4-400-244000−4i4i−4i4i2i−2i0200000-2000002i−2i0000000000000000000000000000000000000000000000000000000000
χ1028-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-1000−3i33i3100033−33−ii0000000000000000000000000000000000000000000000000000000000
χ1038-88i−8i0-4-4-40444−4i4i−4i4i−4i4i22200-2-2-20002i−2i2i−2i2i−2i0-10003i3−3i31000−3333−ii0000000000000000000000000000000000000000000000000000000000
χ1048-8−8i8i08-4-40-8444i−4i−8i8i4i−4i-4-420044-20004i−4i−2i2i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1058-8−8i8i0-48-404-844i−4i4i−4i−8i8i-42-4004-24000−2i2i4i−4i4i−4i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1068-8−8i8i0-4-48044-8−8i8i4i−4i4i−4i2-4-400-2440004i−4i4i−4i−2i2i0200000-200000−2i2i0000000000000000000000000000000000000000000000000000000000
χ1078-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-1000−3i33i31000−3333i−i0000000000000000000000000000000000000000000000000000000000
χ1088-8−8i8i0-4-4-404444i−4i4i−4i4i−4i22200-2-2-2000−2i2i−2i2i−2i2i0-10003i3−3i3100033−33i−i0000000000000000000000000000000000000000000000000000000000

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