Finite Group Databasebeta

← Group #13156575

Character table — Group #13156575

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222224444444444444444444444448888888888121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424363636363636727272727272216
order1222333446666666661212121233366666666612121212121212121212121236661212121212128888242424242424242424242424242424242424242424242424242424242424242441212121212121212441212121244121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-111-1-1-1
χ41111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111
χ511111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-11-1-111-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11
χ711111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-11
χ811111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-20000000000000000000000000000000000000000000002-222-2-20000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000000000000000000-22-2-2220000000
χ11222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022-1-1-1-10000000
χ12222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-211111111000000000-2-211110000000
χ13222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2221111-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-1000000000-2-211110000000
χ14222222-12222-122-1-122-1-1-1-12-1-122-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-2-2-2-211111111-2-2-2-21111111100000000022-1-1-1-10000000
χ15222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−333−3−300003333−3−3−3−300003333−3−3−3−30000000002-2-1-1110000000
χ16222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-21111000033−3−3−3−33300003333−3−3−3−30000−3−3−3−33333000000000-2211-1-10000000
χ17222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-211110000−3−33333−3−30000−3−3−3−3333300003333−3−3−3−3000000000-2211-1-10000000
χ18222222-1-2-222-122-1-12211112-1-122-1-1-1-1-1-12-2-21111-2-21111-1-1-1-1-2-211110000−3−333−3−3330000−3−3−3−333330000−3−3−3−333330000000002-2-1-1110000000
χ1922222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1222-1-1-1-1-1-10000000200-1-10
χ2022222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1002200002222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-2-2-21111110000000-200110
χ2122222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-2000000000000111111111111222-1-1-1-1-1-10000000-200110
χ2222222-12222-122-1222-12222-12-1-1-122-1-12-1-12-122-1-12-122-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2-2-2000000000000111111111111-2-2-21111110000000200-1-10
χ232222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-10000000000002-1-122-1-1-1-100000020-1-1000
χ242222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1220022220000-1-1-1-1-1-1-1-1-1-1-1-1000000000000-211-2-21111000000-2011000
χ252222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-200001111111111110000000000002-1-122-1-1-1-1000000-2011000
χ262222-12222-122-1222-122222-1-12-1-1-1-122-12-1-12-1-122-12-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-20000111111111111000000000000-211-2-2111100000020-1-1000
χ272-2-222222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2-22222-222-2-2-22-2-2222-2-222-222-2-22i−2i002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000
χ282-2-222222-2-2-2222-2-2-2-222-2-2222-2-2-2-2-2-22222-222-2-2-22-2-2222-2-222-222-2-2−2i2i00−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000
χ292-2-22222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2-2222-22-2-2222-222-2-22-2-22-22-2-222002i−2i00002i−2i2i−2i0000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000
χ302-2-22222-22-2-2222-2-2-2-2-2-222222-2-2-2-2-2-2222-22-2-2222-222-2-22-2-22-22-2-22200−2i2i0000−2i2i−2i2i000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000
χ312-2-2222-12-2-2-2-12211-2-2-1-1112-1-1-2-21111-1-122-2-1-111-2211-1-1-111-12-2-1-1112i−2i00−ii−ii−i3i3i3−i32i2i−2i−2i−i−iii−i−iii0000−i3−i3i3i3i3i3−i3−i3000000000003−33−30000000
χ322-2-2222-12-2-2-2-12211-2-2-1-1112-1-1-2-21111-1-122-2-1-111-2211-1-1-111-12-2-1-1112i−2i00−ii−iii3−i3−i3i32i2i−2i−2i−i−iii−i−iii0000i3i3−i3−i3−i3−i3i3i300000000000−33−330000000
χ332-2-2222-12-2-2-2-12211-2-2-1-1112-1-1-2-21111-1-122-2-1-111-2211-1-1-111-12-2-1-111−2i2i00i−ii−i−i3i3i3−i3−2i−2i2i2iii−i−iii−i−i0000−i3−i3i3i3i3i3−i3−i300000000000−33−330000000
χ342-2-2222-12-2-2-2-12211-2-2-1-1112-1-1-2-21111-1-122-2-1-111-2211-1-1-111-12-2-1-111−2i2i00i−ii−ii3−i3−i3i3−2i−2i2i2iii−i−iii−i−i0000i3i3−i3−i3−i3−i3i3i3000000000003−33−30000000
χ352-2-2222-1-22-2-2-12211-2-211-1-12-1-1-2-21111-1-12-2211-1-12-2-1-111-111-1-2211-1-1002i−2i−i3i3i3−i3−ii−ii0000−i3−i3i3i3i3i3−i3−i32i2i−2i−2i−i−iii−i−iii00000000000−333−30000000
χ362-2-2222-1-22-2-2-12211-2-211-1-12-1-1-2-21111-1-12-2211-1-12-2-1-111-111-1-2211-1-1002i−2ii3−i3−i3i3−ii−ii0000i3i3−i3−i3−i3−i3i3i32i2i−2i−2i−i−iii−i−iii000000000003−3−330000000
χ372-2-2222-1-22-2-2-12211-2-211-1-12-1-1-2-21111-1-12-2211-1-12-2-1-111-111-1-2211-1-100−2i2i−i3i3i3−i3i−ii−i0000−i3−i3i3i3i3i3−i3−i3−2i−2i2i2iii−i−iii−i−i000000000003−3−330000000
χ382-2-2222-1-22-2-2-12211-2-211-1-12-1-1-2-21111-1-12-2211-1-12-2-1-111-111-1-2211-1-100−2i2ii3−i3−i3i3i−ii−i0000i3i3−i3−i3−i3−i3i3i3−2i−2i2i2iii−i−iii−i−i00000000000−333−30000000
χ392-2-222-12-22-2122-1-2-2-21-2-222-12-111-2-2112-1-1-2-1-2-2-1-1212211-111-11-111-1-1002i−2i00002i−2i2i−2i000000000000−i−iii−i−iii−i−iii000−i3i3−i3−i3i3i300000000003−30
χ402-2-222-12-22-2122-1-2-2-21-2-222-12-111-2-2112-1-1-2-1-2-2-1-1212211-111-11-111-1-1002i−2i00002i−2i2i−2i000000000000−i−iii−i−iii−i−iii000i3−i3i3i3−i3−i30000000000−330
χ412-2-222-12-22-2122-1-2-2-21-2-222-12-111-2-2112-1-1-2-1-2-2-1-1212211-111-11-111-1-100−2i2i0000−2i2i−2i2i000000000000ii−i−iii−i−iii−i−i000−i3i3−i3−i3i3i30000000000−330
χ422-2-222-12-22-2122-1-2-2-21-2-222-12-111-2-2112-1-1-2-1-2-2-1-1212211-111-11-111-1-100−2i2i0000−2i2i−2i2i000000000000ii−i−iii−i−iii−i−i000i3−i3i3i3−i3−i300000000003−30
χ432-2-22-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-1-2-1-1-2-2121122-111-1-11-1-1112i−2i002i−2i2i−2i0000−i−iii−i−iii−i−iii0000000000000−i3i300−i3i3−i3i3000000003−3000
χ442-2-22-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-1-2-1-1-2-2121122-111-1-11-1-1112i−2i002i−2i2i−2i0000−i−iii−i−iii−i−iii0000000000000i3−i300i3−i3i3−i300000000−33000
χ452-2-22-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-1-2-1-1-2-2121122-111-1-11-1-111−2i2i00−2i2i−2i2i0000ii−i−iii−i−iii−i−i0000000000000−i3i300−i3i3−i3i300000000−33000
χ462-2-22-1222-21-22-12-2-21-222-2-2-1-121111-2-2-12-1-1-2-1-1-2-2121122-111-1-11-1-111−2i2i00−2i2i−2i2i0000ii−i−iii−i−iii−i−i0000000000000i3−i300i3−i3i3−i3000000003−3000
χ4744444-24-4-44-244-2444-2-4-4-4-4-24-2-2-244-2-24-2-2-42-4-422-42-4-422-2-2-2-22222220000000000000000000000000000000000000000000000000000000000
χ4844444-2-2444-2-24-2-2-24-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2114-2-2-2111111-2-2111100440000-2-2-2-2000000000000-2-2-2-2111111110000000000000000000000
χ4944444-2-2444-2-24-2-2-24-2-2-2-2-2-2-21-2-2-2-211-21-24-2-2-2114-2-2-2111111-2-2111100-4-4000022220000000000002222-1-1-1-1-1-1-1-10000000000000000000000
χ5044444-2-2-4-44-2-24-2-2-24-22222-2-21-2-2-2-211-21-2-4222-1-1-4222-1-1111122-1-1-1-1000000002323−23−230000000000000000−3−3−3−333330000000000000000000000
χ5144444-2-2-4-44-2-24-2-2-24-22222-2-21-2-2-2-211-21-2-4222-1-1-4222-1-1111122-1-1-1-100000000−23−23232300000000000000003333−3−3−3−30000000000000000000000
χ524444-244-4-4-244-2444-24-4-4-4-4-2-24-2-2-2-244-24-22-422-4-42-422-4-4-2-2-2-22222220000000000000000000000000000000000000000000000000000000000
χ534444-24-244-24-2-24-2-2-24-2-2-2-2-21-2-2-211-2-21-2-2-2411-2-2-2411-2-21111-2-211114400-2-2-2-20000-2-2-2-2111111110000000000000000000000000000000000
χ544444-24-244-24-2-24-2-2-24-2-2-2-2-21-2-2-211-2-21-2-2-2411-2-2-2411-2-21111-2-21111-4-400222200002222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ554444-24-2-4-4-24-2-24-2-2-242222-21-2-2-211-2-21-2-22-4-1-1222-4-1-122111122-1-1-1-100002323−23−2300000000−3−3−3−333330000000000000000000000000000000000
χ564444-24-2-4-4-24-2-24-2-2-242222-21-2-2-211-2-21-2-22-4-1-1222-4-1-122111122-1-1-1-10000−23−232323000000003333−3−3−3−30000000000000000000000000000000000
χ574444-2-2444-2-24-2-244-2-244441-2-211-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000004-2-2-2-211110000000000000
χ584444-2-2444-2-24-2-244-2-244441-2-211-2-2-2-2-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000-42222-1-1-1-10000000000000
χ594444-2-24-4-4-2-24-2-244-2-2-4-4-4-41-2-211-2-2-2-2-2-212222222222221111-1-1-1-1-1-1000000000000000000000000000000000000000003-3-330000000000000
χ604444-2-24-4-4-2-24-2-244-2-2-4-4-4-41-2-211-2-2-2-2-2-212222222222221111-1-1-1-1-1-100000000000000000000000000000000000000000-333-30000000000000
χ6144-4-4444004-4-4-4-44-4-4400004444-44-44-4-4-4-400000000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ6244-4-444-2004-42-4-4-22-4423−2323−234-2-24-4-22-2222-40023−2323−230023−2323−23-2-2220023−2323−230000000000000000000000000000000000000000000000000000000000
χ6344-4-444-2004-42-4-4-22-44−2323−23234-2-24-4-22-2222-400−2323−232300−2323−2323-2-22200−2323−23230000000000000000000000000000000000000000000000000000000000
χ6444-4-44-240042-4-424-4-4-20000-24-2-224-4-22-422000000000000-2-2220000000000000000000000000000006−66−66−66−66−66−60000000000000000000000
χ6544-4-44-240042-4-424-4-4-20000-24-2-224-4-22-422000000000000-2-222000000000000000000000000000000−66−66−66−66−66−660000000000000000000000
χ6644-4-44-2-200422-42-22-4-223−2323−23-2-21-22-221-12-120023−23−330023−23−3311-1-100−33−330000000000000000000000006−66−6ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000
χ6744-4-44-2-200422-42-22-4-223−2323−23-2-21-22-221-12-120023−23−330023−23−3311-1-100−33−33000000000000000000000000−66−66−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000
χ6844-4-44-2-200422-42-22-4-2−2323−2323-2-21-22-221-12-1200−23233−300−23233−311-1-1003−33−30000000000000000000000006−66−6−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000
χ6944-4-44-2-200422-42-22-4-2−2323−2323-2-21-22-221-12-1200−23233−300−23233−311-1-1003−33−3000000000000000000000000−66−662ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000
χ7044-4-4-24400-2-4-42-44-4240000-2-24-22-224-42-42000000000000-2-222000000000000000000i6−i6i6−i6i6−i6i6−i6i6−i6i6−i60000000000000000000000000000000000
χ7144-4-4-24400-2-4-42-44-4240000-2-24-22-224-42-42000000000000-2-222000000000000000000−i6i6−i6i6−i6i6−i6i6−i6i6−i6i60000000000000000000000000000000000
χ7244-4-4-24-200-2-422-4-222423−2323−23-21-2-221-1-22-12200−3323−2300−3323−2311-1-100−33−33000000000000i6−i6i6−i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000000000000000
χ7344-4-4-24-200-2-422-4-222423−2323−23-21-2-221-1-22-12200−3323−2300−3323−2311-1-100−33−33000000000000−i6i6−i6i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000000000000000
χ7444-4-4-24-200-2-422-4-2224−2323−2323-21-2-221-1-22-122003−3−2323003−3−232311-1-1003−33−3000000000000i6−i6i6−i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000000000000000
χ7544-4-4-24-200-2-422-4-2224−2323−2323-21-2-221-1-22-122003−3−2323003−3−232311-1-1003−33−3000000000000−i6i6−i6i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000000000000000
χ764-44-444400-44-4-4-4-444-40000444-44-44-44-4-4-40000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ774-44-444-200-442-4-42-24-423−23−23234-2-2-442-22-222-40023−23−232300−232323−23-22-220023−23−23230000000000000000000000000000000000000000000000000000000000
χ784-44-444-200-442-4-42-24-4−232323−234-2-2-442-22-222-400−232323−230023−23−2323-22-2200−232323−230000000000000000000000000000000000000000000000000000000000
χ794-44-44-2400-4-2-4-42-44420000-24-22-2-442-2-422000000000000-22-22000000000000000000000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000
χ804-44-44-2400-4-2-4-42-44420000-24-22-2-442-2-422000000000000-22-22000000000000000000000000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i60000000000000000000000
χ814-44-44-2-200-4-22-422-24223−23−2323-2-212-22-2-112-120023−233−300−2323−331-11-100−333−3000000000000000000000000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ230000000000000000000000
χ824-44-44-2-200-4-22-422-24223−23−2323-2-212-22-2-112-120023−233−300−2323−331-11-100−333−3000000000000000000000000−i6i6i6−i6−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ230000000000000000000000
χ834-44-44-2-200-4-22-422-242−232323−23-2-212-22-2-112-1200−2323−330023−233−31-11-1003−3−33000000000000000000000000i6−i6−i6i6−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ230000000000000000000000
χ844-44-44-2-200-4-22-422-242−232323−23-2-212-22-2-112-1200−2323−330023−233−31-11-1003−3−33000000000000000000000000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ230000000000000000000000
χ854-44-4-2440024-42-4-44-2-40000-2-242-22-2-442-42000000000000-22-220000000000000000006−6−666−6−666−6−660000000000000000000000000000000000
χ864-44-4-2440024-42-4-44-2-40000-2-242-22-2-442-42000000000000-22-22000000000000000000−666−6−666−6−666−60000000000000000000000000000000000
χ874-44-4-24-2002422-42-2-2-423−23−2323-21-22-2-112-2-12200−33−2323003−323−231-11-100−333−30000000000006−6−66ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ230000000000000000000000000000000000
χ884-44-4-24-2002422-42-2-2-423−23−2323-21-22-2-112-2-12200−33−2323003−323−231-11-100−333−3000000000000−666−6−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ230000000000000000000000000000000000
χ894-44-4-24-2002422-42-2-2-4−232323−23-21-22-2-112-2-122003−323−2300−33−23231-11-1003−3−330000000000006−6−66−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ232ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ230000000000000000000000000000000000
χ904-44-4-24-2002422-42-2-2-4−232323−23-21-22-2-112-2-122003−323−2300−33−23231-11-1003−3−33000000000000−666−62ζ5−2ζ7+ζ13−ζ23−2ζ5+2ζ7−ζ13+ζ23−2ζ5+2ζ7−ζ13+ζ232ζ5−2ζ7+ζ13−ζ23−ζ5+ζ7−2ζ13+2ζ23ζ5−ζ7+2ζ13−2ζ23ζ5−ζ7+2ζ13−2ζ23−ζ5+ζ7−2ζ13+2ζ230000000000000000000000000000000000
χ914-4-444-244-4-4244-2-4-4-4244-4-4-24-222-4-4224-2-2424422-4-2-4-4-2-2-222-2-22-2-2220000000000000000000000000000000000000000000000000000000000
χ924-4-444-2-24-4-42-24-222-42-2-222-2-212222-1-1-21-242-2-2-1-1-4-222111-1-11-2211-1-100000000−2i32i32i3−2i30000000000000000i3i3−i3−i3−i3−i3i3i30000000000000000000000
χ934-4-444-2-24-4-42-24-222-42-2-222-2-212222-1-1-21-242-2-2-1-1-4-222111-1-11-2211-1-1000000002i3−2i3−2i32i30000000000000000−i3−i3i3i3i3i3−i3−i30000000000000000000000
χ944-4-444-2-2-44-42-24-222-4222-2-2-2-212222-1-1-21-2-4-2221142-2-2-1-11-1-112-2-1-111004i−4i0000−2i2i−2i2i000000000000−2i−2i2i2iii−i−iii−i−i0000000000000000000000
χ954-4-444-2-2-44-42-24-222-4222-2-2-2-212222-1-1-21-2-4-2221142-2-2-1-11-1-112-2-1-11100−4i4i00002i−2i2i−2i0000000000002i2i−2i−2i−i−iii−i−iii0000000000000000000000
χ964-4-44-244-442-44-24-4-42-4-4-444-2-242222-4-4-24-2242244-2-4-2-2-4-4-222-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ974-4-44-24-24-42-4-2-24222-4-2-222-21-222-1-1221-2-2-2-4112224-1-1-2-21-1-11-2211-1-14i−4i00−2i2i−2i2i0000−2i−2i2i2iii−i−iii−i−i0000000000000000000000000000000000
χ984-4-44-24-24-42-4-2-24222-4-2-222-21-222-1-1221-2-2-2-4112224-1-1-2-21-1-11-2211-1-1−4i4i002i−2i2i−2i00002i2i−2i−2i−i−iii−i−iii0000000000000000000000000000000000
χ994-4-44-24-2-442-4-2-24222-422-2-2-21-222-1-1221-2-224-1-1-2-2-2-411221-1-112-2-1-1110000−2i32i32i3−2i300000000i3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000
χ1004-4-44-24-2-442-4-2-24222-422-2-2-21-222-1-1221-2-224-1-1-2-2-2-411221-1-112-2-1-11100002i3−2i3−2i32i300000000−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000
χ1014-4-44-2-244-4224-2-2-4-42244-4-41-2-2-1-12222-2-21-22-2-2222-222-2-21-1-111-111-1-10000000000000000000000000000000000000−2i32i300i3−i3i3−i30000000000000
χ1024-4-44-2-244-4224-2-2-4-42244-4-41-2-2-1-12222-2-21-22-2-2222-222-2-21-1-111-111-1-100000000000000000000000000000000000002i3−2i300−i3i3−i3i30000000000000
χ1034-4-44-2-24-44224-2-2-4-422-4-4441-2-2-1-12222-2-212-222-2-2-22-2-2221-1-11-11-1-111000000000000000000000000000000000000000−2i32i3i3i3−i3−i30000000000000
χ1044-4-44-2-24-44224-2-2-4-422-4-4441-2-2-1-12222-2-212-222-2-2-22-2-2221-1-11-11-1-1110000000000000000000000000000000000000002i3−2i3−i3−i3i3i30000000000000
χ1058888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-42222-4-42222-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1068888-4-4-4-8-8-4-4-4-4-4-4-4-4-4444422222222222244-2-2-2-244-2-2-2-2-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4800-44-8448-84-400002-4-42-2-44-4444-200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-400-44444-444-443−4343−432222-22-22-2-2-2-200−2323−232300−2323−2323-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4-400-44444-444-4−4343−43432222-22-22-2-2-2-20023−2323−230023−2323−23-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-48004-4-844-88-4400002-4-4-224-44-444-20000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-4004-44444-4-4443−43−4343222-22-22-22-2-2-200−232323−230023−23−2323-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4-4004-44444-4-44−434343−43222-22-22-22-2-2-20023−23−232300−232323−23-11-1100−333−30000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-48-844-4-4-44444-4-444222-2-2-2-2-2-2222-4422-2-24-4-2-222-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4-8844-4-4-4444444-4-4222-2-2-2-2-2-22224-4-2-222-4422-2-2-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000

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