Finite Group Databasebeta

← Group #11775127

Character table — Group #11775127

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222222224444444444444444466666688888888888888888888888121212121212121212121212122424242424242424242424243636363648487272
order122222334466666612121212346666666121212121212121222224466881212122424242424242424242424242424242444444666612121212448812121212242424244444121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ91111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-111-1-111-1-1i−i111ii−i−iiiiiii−i−i−i−i−i−i-1ii−i−i11-1-111-1-11-1i−iii−i−iii−i−iii−i−i1-1-11
χ101111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-111-1-111-1-1i−i111ii−i−iiiiiii−i−i−i−i−i−i-1−i−iii11-1-111-1-1-11i−i−i−iiiii−i−i−i−iii-111-1
χ111111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-111-1-111-1-1−ii111−i−iii−i−i−i−i−i−iiiiiii-1ii−i−i11-1-111-1-1-11−iiii−i−i−i−iiiii−i−i-111-1
χ121111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-111-1-111-1-1−ii111−i−iii−i−i−i−i−i−iiiiiii-1−i−iii11-1-111-1-11-1−ii−i−iii−i−iii−i−iii1-1-11
χ131111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-1i−i111ii−i−iiiiiii−i−i−i−i−i−i1ii−i−i-1-111-1-1111-1−iiii−i−i−i−iii−i−iii1-11-1
χ141111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-1i−i111ii−i−iiiiiii−i−i−i−i−i−i1−i−iii-1-111-1-111-11−ii−i−iii−i−iiiii−i−i-11-11
χ151111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-1−ii111−i−iii−i−i−i−i−i−iiiiiii1ii−i−i-1-111-1-111-11i−iii−i−iii−i−i−i−iii-11-11
χ161111-1-111-1-1111111-1-1-1-111-1-1-1111-111-1-1-1-1-1-1-1-111-1-1-1-1−ii111−i−iii−i−i−i−i−i−iiiiiii1−i−iii-1-111-1-1111-1i−i−i−iiiii−i−iii−i−i1-11-1
χ1722222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-22222-2-22200-2-2-20000000000000000-200002222-2-2-2-200000000000000000000
χ1822222222-2-2222222-2-2-2-22-22222222-2-2-2-2-2-2-2-2-2-2-2-2222200-2-2-2000000000000000020000-2-2-2-2222200000000000000000000
χ192222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1222222-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-120000-1-1-1-1-1-1-1-100220000-1-1-1-100000000
χ202222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1222222-1-1-2-22-1-11111-2-21111-2-2111120000-1-1-1-1-1-1-1-100-2-20000111100000000
χ212222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-2-1-1222-1-1-1-1-1-122-1-1-1-122-1-1-1-1-200001111111100-2-20000111100000000
χ222222222-1222-1-122-1-1-1-1-1-122-1-1-1-1-12-1-122-1-1-1-1-2-2-2-2-2-2-1-1-2-22-1-11111-2-21111-2-21111-200001111111100220000-1-1-1-100000000
χ232222222-1-2-22-1-122-11111-1-22-1-1-1-1-1211-2-211112222-2-2-1-100-2113−33−30033−3−30033−3−3-20000-1-1-1-11111000000003−33−300000000
χ242222222-1-2-22-1-122-11111-1-22-1-1-1-1-1211-2-211112222-2-2-1-100-211−33−3300−3−33300−3−333-20000-1-1-1-1111100000000−33−3300000000
χ252222222-1-2-22-1-122-11111-1-22-1-1-1-1-1211-2-21111-2-2-2-222-1-100-2113−33−30033−3−30033−3−3200001111-1-1-1-100000000−33−3300000000
χ262222222-1-2-22-1-122-11111-1-22-1-1-1-1-1211-2-21111-2-2-2-222-1-100-211−33−3300−3−33300−3−333200001111-1-1-1-1000000003−33−300000000
χ27222222-1222-122-1-122222-12-122-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-102222000000002200-1-1-1-100000000-1-100
χ28222222-1222-122-1-122222-12-122-1-1-1-122-1-1-1-1-1-1000000-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200000000-2-2001111000000001100
χ29222222-1222-122-1-122222-12-122-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111110222200000000-2-200-1-1-1-1000000001100
χ30222222-1222-122-1-122222-12-122-1-1-1-122-1-1-1-1-1-1000000-1-1-2-2-1-1-1-2-2-2-21111111111110-2-2-2-2000000002200111100000000-1-100
χ312222-2-2222222222222222-2-2-2-2222-2-2-222222222-2-2-2-2-2-200-2-2-200000000000000002000022-2-2-2-22200000000000000000000
χ322222-2-2222222222222222-2-2-2-2222-2-2-2222222-2-22222-2-200-2-2-20000000000000000-20000-2-22222-2-200000000000000000000
χ332222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-122-2-2-2-21100-211−i3i3i3−i300−i3−i3i3i300i3i3−i3−i320000-1-11111-1-100000000−i3i3i3−i300000000
χ342222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-122-2-2-2-21100-211i3−i3−i3i300i3i3−i3−i300−i3−i3i3i320000-1-11111-1-100000000i3−i3−i3i300000000
χ352222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-1-2-222221100-211−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3-2000011-1-1-1-11100000000i3−i3−i3i300000000
χ362222-2-22-1222-1-122-1-1-1-1-1-1-2-211-1-1-1-21122-1-1-1-1-2-222221100-211i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3-2000011-1-1-1-11100000000−i3i3i3−i300000000
χ372222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2-1-1-2-2111122-2-222112i−2i2-1-1−i−iii2i2i−i−i−i−i−2i−2iiiii-20000-1-111-1-111002i−2i0000−i−iii00000000
χ382222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2-1-1-2-2111122-2-22211−2i2i2-1-1ii−i−i−2i−2iiiii2i2i−i−i−i−i-20000-1-111-1-11100−2i2i0000ii−i−i00000000
χ392222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2-1-1-2-21111-2-222-2-2112i−2i2-1-1−i−iii2i2i−i−i−i−i−2i−2iiiii2000011-1-111-1-100−2i2i0000ii−i−i00000000
χ402222-2-22-1-2-22-1-122-11111-12-211-1-1-1-2-1-1-2-21111-2-222-2-211−2i2i2-1-1ii−i−i−2i−2iiiii2i2i−i−i−i−i2000011-1-111-1-1002i−2i0000−i−iii00000000
χ412222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-1122111111000000112i−2i-1-1-12i2i−2i−2i−i−i−i−i−i−iiiiiii02i2i−2i−2i000000002-200−i−iii00000000-1100
χ422222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-1122111111000000112i−2i-1-1-12i2i−2i−2i−i−i−i−i−i−iiiiiii0−2i−2i2i2i00000000-2200ii−i−i000000001-100
χ432222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-112211111100000011−2i2i-1-1-1−2i−2i2i2iiiiiii−i−i−i−i−i−i02i2i−2i−2i00000000-2200−i−iii000000001-100
χ442222-2-2-12-2-2-122-1-12-2-2-2-2-121-2-2-1-1-112211111100000011−2i2i-1-1-1−2i−2i2i2iiiiiii−i−i−i−i−i−i0−2i−2i2i2i000000002-200ii−i−i00000000-1100
χ4522-2-200222i−2i-22-22-2-22i2i−2i−2i200002-2-20002i−2i2i2i−2i−2i002-22i−2i0000000000000000000000001+i−1−i1−i−1+i002-22i−2i0000001+i−1−i1−i−1+i00001−i−1+i1+i−1−i0000
χ4622-2-200222i−2i-22-22-2-22i2i−2i−2i200002-2-20002i−2i2i2i−2i−2i002-22i−2i000000000000000000000000−1−i1+i−1+i1−i002-22i−2i000000−1−i1+i−1+i1−i0000−1+i1−i−1−i1+i0000
χ4722-2-200222i−2i-22-22-2-22i2i−2i−2i200002-2-20002i−2i2i2i−2i−2i00-22−2i2i0000000000000000000000001+i−1−i1−i−1+i00-22−2i2i0000001+i−1−i1−i−1+i0000−1+i1−i−1−i1+i0000
χ4822-2-200222i−2i-22-22-2-22i2i−2i−2i200002-2-20002i−2i2i2i−2i−2i00-22−2i2i000000000000000000000000−1−i1+i−1+i1−i00-22−2i2i000000−1−i1+i−1+i1−i00001−i−1+i1+i−1−i0000
χ4922-2-20022−2i2i-22-22-2-2−2i−2i2i2i200002-2-2000−2i2i−2i−2i2i2i002-2−2i2i0000000000000000000000001−i−1+i1+i−1−i002-2−2i2i0000001−i−1+i1+i−1−i00001+i−1−i1−i−1+i0000
χ5022-2-20022−2i2i-22-22-2-2−2i−2i2i2i200002-2-2000−2i2i−2i−2i2i2i002-2−2i2i000000000000000000000000−1+i1−i−1−i1+i002-2−2i2i000000−1+i1−i−1−i1+i0000−1−i1+i−1+i1−i0000
χ5122-2-20022−2i2i-22-22-2-2−2i−2i2i2i200002-2-2000−2i2i−2i−2i2i2i00-222i−2i0000000000000000000000001−i−1+i1+i−1−i00-222i−2i0000001−i−1+i1+i−1−i0000−1−i1+i−1+i1−i0000
χ5222-2-20022−2i2i-22-22-2-2−2i−2i2i2i200002-2-2000−2i2i−2i−2i2i2i00-222i−2i000000000000000000000000−1+i1−i−1−i1+i00-222i−2i000000−1+i1−i−1−i1+i00001+i−1−i1−i−1+i0000
χ53444444-24-4-4-244-2-24-4-4-4-4-2-4-244-2-2-2-2-4-4222222000000-2-2002220000000000000000000000000000000000000000000000000
χ54444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2111-2-2-2-2-211110000001144-211-2-2-2-2-2-21111-2-21111000000000000000000000000000000000
χ55444444-2-244-2-2-2-2-2-2-2-2-2-214-2-2-2111-2-2-2-2-2111100000011-4-4-211222222-1-1-1-122-1-1-1-1000000000000000000000000000000000
χ56444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2111-22222-1-1-1-100000011002-1-123−2323−2300−3−33300−3−333000000000000000000000000000000000
χ57444444-2-2-4-4-2-2-2-2-2-222221-4-2-2-2111-22222-1-1-1-100000011002-1-1−2323−23230033−3−30033−3−3000000000000000000000000000000000
χ584444-4-4-2444-244-2-244444-2-42-4-4-2-2-22-4-4-2-2-2-2-2-200000022002220000000000000000000000000000000000000000000000000
χ594444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222111222-2-21111000000-1-1002-1-1−2i32i32i3−2i300i3i3−i3−i300−i3−i3i3i3000000000000000000000000000000000
χ604444-4-4-2-244-2-2-2-2-2-2-2-2-2-21-4222111222-2-21111000000-1-1002-1-12i3−2i3−2i32i300−i3−i3i3i300i3i3−i3−i3000000000000000000000000000000000
χ614444-4-4-2-2-4-4-2-2-2-2-2-22222142221112-2-222-1-1-1-1000000-1-14i−4i-211−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i000000000000000000000000000000000
χ624444-4-4-2-2-4-4-2-2-2-2-2-22222142221112-2-222-1-1-1-1000000-1-1−4i4i-2112i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii000000000000000000000000000000000
χ6344-4-4004-24i−4i-4-224-42−2i−2i2i2i-20000-2220004i−4i−2i−2i2i2i004-44i−4i000000000000000000000000000000-22−2i2i0000000000000000000000
χ6444-4-4004-24i−4i-4-224-42−2i−2i2i2i-20000-2220004i−4i−2i−2i2i2i00-44−4i4i0000000000000000000000000000002-22i−2i0000000000000000000000
χ6544-4-4004-2−4i4i-4-224-422i2i−2i−2i-20000-222000−4i4i2i2i−2i−2i004-4−4i4i000000000000000000000000000000-222i−2i0000000000000000000000
χ6644-4-4004-2−4i4i-4-224-422i2i−2i−2i-20000-222000−4i4i2i2i−2i−2i00-444i−4i0000000000000000000000000000002-2−2i2i0000000000000000000000
χ6744-4-400-244i−4i24-4-22-44i4i−4i−4i-20000-222000−2i2i−2i−2i2i2i0000000000000000000000000000002+2i−2−2i2−2i−2+2i000000000000−1−i1+i−1+i1−i000000000000
χ6844-4-400-244i−4i24-4-22-44i4i−4i−4i-20000-222000−2i2i−2i−2i2i2i000000000000000000000000000000−2−2i2+2i−2+2i2−2i0000000000001+i−1−i1−i−1+i000000000000
χ6944-4-400-24−4i4i24-4-22-4−4i−4i4i4i-20000-2220002i−2i2i2i−2i−2i0000000000000000000000000000002−2i−2+2i2+2i−2−2i000000000000−1+i1−i−1−i1+i000000000000
χ7044-4-400-24−4i4i24-4-22-4−4i−4i4i4i-20000-2220002i−2i2i2i−2i−2i000000000000000000000000000000−2+2i2−2i−2−2i2+2i0000000000001−i−1+i1+i−1−i000000000000
χ714-44-4004400-4-4-4-444000040000-4-440000000004-4000000000000000000000000000000004-400000000000000000000000000
χ724-44-4004400-4-4-4-444000040000-4-44000000000-4400000000000000000000000000000000-4400000000000000000000000000
χ734-44-4004-200-422-44-2−2i32i3−2i32i3-2000022-200000−2i32i3−2i32i34-400000000000000000000000000000000-220000−2i32i300000000000000000000
χ744-44-4004-200-422-44-2−2i32i3−2i32i3-2000022-200000−2i32i3−2i32i3-44000000000000000000000000000000002-200002i3−2i300000000000000000000
χ754-44-4004-200-422-44-22i3−2i32i3−2i3-2000022-2000002i3−2i32i3−2i34-400000000000000000000000000000000-2200002i3−2i300000000000000000000
χ764-44-4004-200-422-44-22i3−2i32i3−2i3-2000022-2000002i3−2i32i3−2i3-44000000000000000000000000000000002-20000−2i32i300000000000000000000
χ774-4-444-444004-44-4-4-400004044-4-44-4-4000000000000004-4000000000000000000000000000000000000000000000000000000
χ784-4-444-44-20042-2-4-4223−23−2323-204-222-22-423−230023−23−2323000000-2200023−230000000000000000000000000000000000000000000000000
χ794-4-444-44-20042-2-4-42−232323−23-204-222-22-4−232300−232323−23000000-22000−23230000000000000000000000000000000000000000000000000
χ804-4-444-4-2400-2-4422-40000-20-24-42-22200000000000000-22000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i6000000000000000000000000000000000
χ814-4-444-4-2400-2-4422-40000-20-24-42-22200000000000000-22000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i6000000000000000000000000000000000
χ824-4-444-4-2-200-22-222223−23−232310-2-22-11-1223−2300−333−30000001-1000−330000i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000000000
χ834-4-444-4-2-200-22-222223−23−232310-2-22-11-1223−2300−333−30000001-1000−330000−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23000000000000000000000000000000000
χ844-4-444-4-2-200-22-2222−232323−2310-2-22-11-12−2323003−3−330000001-10003−30000i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23000000000000000000000000000000000
χ854-4-444-4-2-200-22-2222−232323−2310-2-22-11-12−2323003−3−330000001-10003−30000−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000000000
χ864-4-44-4444004-44-4-4-4000040-4-44-44-4400000000000000-44000000000000000000000000000000000000000000000000000000
χ874-4-44-444-20042-2-4-4223−23−2323-20-42-22-224−23230023−23−23230000002-2000−23230000000000000000000000000000000000000000000000000
χ884-4-44-444-20042-2-4-42−232323−23-20-42-22-22423−2300−232323−230000002-200023−230000000000000000000000000000000000000000000000000
χ894-4-44-44-2400-2-4422-40000-202-442-22-2000000000000002-20000000006−66−66−6−66−66−66000000000000000000000000000000000
χ904-4-44-44-2400-2-4422-40000-202-442-22-2000000000000002-2000000000−66−66−666−66−66−6000000000000000000000000000000000
χ914-4-44-44-2-200-22-222223−23−23231022-2-11-1-2−232300−333−3000000-110003−300006−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23000000000000000000000000000000000
χ924-4-44-44-2-200-22-222223−23−23231022-2-11-1-2−232300−333−3000000-110003−30000−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ236−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23000000000000000000000000000000000
χ934-4-44-44-2-200-22-2222−232323−231022-2-11-1-223−23003−3−33000000-11000−3300006−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23000000000000000000000000000000000
χ944-4-44-44-2-200-22-2222−232323−231022-2-11-1-223−23003−3−33000000-11000−330000−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ236−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23000000000000000000000000000000000
χ9588-8-800-4-48i−8i4-44-444−4i−4i4i4i200002-2-2000−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000000000
χ9688-8-800-4-4−8i8i4-44-4444i4i−4i−4i200002-2-20004i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000000000
χ978-88-800-48004-8-84-480000-4000044-400000000000000000000000000000000000000000000000000000000000000000000000
χ988-88-800-4-4004444-4-4−4i34i3−4i34i320000-2-22000002i3−2i32i3−2i300000000000000000000000000000000000000000000000000000000000000
χ998-88-800-4-4004444-4-44i3−4i34i3−4i320000-2-2200000−2i32i3−2i32i300000000000000000000000000000000000000000000000000000000000000

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