Finite Group Databasebeta

← Group #13156674

Character table — Group #13156674

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11112222222222222222224444444444444444444444448888888888121212121212121212121212121212121212121212121212121212121212121212121212242424242424242424363636363636727272727272216
order1222333446666666661212121233366666666612121212121212121212121236661212121212124488121212121212121212121212121212122424242424242424242424242424242441212121212121212882424242444121212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-11-1-1-111-1
χ41111111111111111111111111111111111111111111111111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11
χ511111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1111-1-1-1
χ611111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111
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
χ92222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-22-20022-2-222-2-22222-2-2-2-200000000000000000000000000000000000000
χ102222222-2-2222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2200-2-222-2-222-2-2-2-2222200000000000000000000000000000000000000
χ11222222-12222-1222-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222-1-1-1-1-1-10000002000-1-10
χ12222222-12222-1222-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122002222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2111111000000-2000110
χ13222222-12222-1222-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111111110000000000000000222-1-1-1-1-1-1000000-2000110
χ14222222-12222-1222-12-122222-1-122-12-1-1-1-1-12-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-21111111111110000000000000000-2-2-21111110000002000-1-10
χ15222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-1-1-1-11111112-20022-2-2-1-111-1-1-1-111110000000000000000000−i3i3−i3−i3i3i30000000000−i3i30
χ16222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-1-1-1-11111112-20022-2-2-1-111-1-1-1-111110000000000000000000i3−i3i3i3−i3−i30000000000i3−i30
χ17222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-1-1-1-1111111-2200-2-22211-1-11111-1-1-1-10000000000000000000−i3i3−i3−i3i3i30000000000i3−i30
χ18222222-1-2-222-1222-12-1-2-2-2-22-1-122-12-1-1-1-1-1-211-2-21111-2-2-2-1-1-1-1111111-2200-2-22211-1-11111-1-1-1-10000000000000000000i3−i3i3i3−i3−i30000000000−i3i30
χ1922222-12222-1222-12-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-12-1-122-1-1-1-100000002-1-1000
χ2022222-12222-1222-12-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1002200000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-211-2-211110000000-211000
χ2122222-12222-1222-12-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000000000-2-2-2-21111111111112-1-122-1-1-1-10000000-211000
χ2222222-12222-1222-12-122222-12-1-1-1-1-12-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-100-2-20000000000000000-2-2-2-2111111111111-211-2-2111100000002-1-1000
χ232222-12222-122-1-12222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000022-1-1-1-10000000
χ242222-12222-122-1-12222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-122-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000-2-211110000000
χ252222-12222-122-1-12222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000-2-211110000000
χ262222-12222-122-1-12222-1-1-1-1-1-12-1-12-1-12-1-12222-1-1-1-1-1-12-1-1-1-1-1-122-1-1-1-1-2-2-2-21111-2-2-2-2111111111111-2-2-2-21111111100000000022-1-1-1-10000000
χ272222-122-2-2-122-1-122221111-1-12-1-12-1-12-1-12-2-2-2111111-211-1-1-1-1-2-211112-200-1-11122-2-2-1-1-1-1111133−3−300003333−3−3−3−30000000000033−3−30000000
χ282222-122-2-2-122-1-122221111-1-12-1-12-1-12-1-12-2-2-2111111-211-1-1-1-1-2-211112-200-1-11122-2-2-1-1-1-11111−3−3330000−3−3−3−3333300000000000−3−3330000000
χ292222-122-2-2-122-1-122221111-1-12-1-12-1-12-1-12-2-2-2111111-211-1-1-1-1-2-21111-220011-1-1-2-2221111-1-1-1-133−3−300003333−3−3−3−300000000000−3−3330000000
χ302222-122-2-2-122-1-122221111-1-12-1-12-1-12-1-12-2-2-2111111-211-1-1-1-1-2-21111-220011-1-1-2-2221111-1-1-1-1−3−3330000−3−3−3−333330000000000033−3−30000000
χ3122-2-22222-2222-2-2-2-2-2-222-2-2222-2-2-2222-2-2-2-22-2-2-222-2-22222-2-222-222-2-2002-200000000000000002-22-222-2-222-2-222-2-20000000000000000000000
χ3222-2-22222-2222-2-2-2-2-2-222-2-2222-2-2-2222-2-2-2-22-2-2-222-2-22222-2-222-222-2-200-220000000000000000-22-22-2-222-2-222-2-2220000000000000000000000
χ3322-2-2222-22222-2-2-2-2-2-2-2-222222-2-2-2222-2-2-22-2222-2-222-2-2-22-2-22-22-2-2220000000000000000000000000000000000000000000002-22-22-20000000
χ3422-2-2222-22222-2-2-2-2-2-2-2-222222-2-2-2222-2-2-22-2222-2-222-2-2-22-2-22-22-2-222000000000000000000000000000000000000000000000-22-22-220000000
χ3522-2-22-122-22-12-2-21-21-222-2-2-12-1111-12-1-2-2112-21122-2-2-1-1-1-111-1-11-1-111002-200000000000000002-22-2-1-111-1-111-1-11103−3003−33−3000000003−3000
χ3622-2-22-122-22-12-2-21-21-222-2-2-12-1111-12-1-2-2112-21122-2-2-1-1-1-111-1-11-1-111002-200000000000000002-22-2-1-111-1-111-1-1110−3300−33−3300000000−33000
χ3722-2-22-122-22-12-2-21-21-222-2-2-12-1111-12-1-2-2112-21122-2-2-1-1-1-111-1-11-1-11100-220000000000000000-22-2211-1-111-1-111-1-103−3003−33−300000000−33000
χ3822-2-22-122-22-12-2-21-21-222-2-2-12-1111-12-1-2-2112-21122-2-2-1-1-1-111-1-11-1-11100-220000000000000000-22-2211-1-111-1-111-1-10−3300−33−33000000003−3000
χ3922-2-2-1222-2-12211-2-2-2-2-1-111-1-1211-2-1-1211-2-22-211-1-1112-1-1-111-12-2-1-111002-23−33−3000033−3−333−3−3-11-1122-2-2-1-111-1-111000000000003−3−330000000
χ4022-2-2-1222-2-12211-2-2-2-2-1-111-1-1211-2-1-1211-2-22-211-1-1112-1-1-111-12-2-1-111002-2−33−330000−3−333−3−333-11-1122-2-2-1-111-1-11100000000000−333−30000000
χ4122-2-2-1222-2-12211-2-2-2-2-1-111-1-1211-2-1-1211-2-22-211-1-1112-1-1-111-12-2-1-11100-223−33−3000033−3−333−3−31-11-1-2-22211-1-111-1-100000000000−333−30000000
χ4222-2-2-1222-2-12211-2-2-2-2-1-111-1-1211-2-1-1211-2-22-211-1-1112-1-1-111-12-2-1-11100-22−33−330000−3−333−3−3331-11-1-2-22211-1-111-1-1000000000003−3−330000000
χ4322-2-2-122-22-12211-2-2-2-211-1-1-1-1211-2-1-1211-22-22-1-111-1-1-211-111-1-2211-1-100003−3−33000033−3−3−3−3333−3−33000033−3−3−3−333000000000-221-11-10000000
χ4422-2-2-122-22-12211-2-2-2-211-1-1-1-1211-2-1-1211-22-22-1-111-1-1-211-111-1-2211-1-100003−3−33000033−3−3−3−333−333−30000−3−33333−3−30000000002-2-11-110000000
χ4522-2-2-122-22-12211-2-2-2-211-1-1-1-1211-2-1-1211-22-22-1-111-1-1-211-111-1-2211-1-10000−333−30000−3−33333−3−33−3−33000033−3−3−3−3330000000002-2-11-110000000
χ4622-2-2-122-22-12211-2-2-2-211-1-1-1-1211-2-1-1211-22-22-1-111-1-1-211-111-1-2211-1-10000−333−30000−3−33333−3−3−333−30000−3−33333−3−3000000000-221-11-10000000
χ4744444-24-4-44-2444-24-24-4-4-4-4-24-2-2-2-2-24-244-22-4-422-4-4-4-4222-2-2-2-22222220000000000000000000000000000000000000000000000000000000000
χ4844444-2-2444-2-244-2-2-2-24444-2-21-2-21-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-211111111110000000000000000000000000000000000004-2-2-2-211110000000000000
χ4944444-2-2444-2-244-2-2-2-24444-2-21-2-21-2-21-2-21-2-2-2-2-2-2-2-2-2-2-2-21111111111000000000000000000000000000000000000-42222-1-1-1-10000000000000
χ5044444-2-2-4-44-2-244-2-2-2-2-4-4-4-4-2-21-2-21-2-21-2-212222222222221111-1-1-1-1-1-1000000000000000000000000000000000000000−2i32i3i3i3−i3−i30000000000000
χ5144444-2-2-4-44-2-244-2-2-2-2-4-4-4-4-2-21-2-21-2-21-2-212222222222221111-1-1-1-1-1-10000000000000000000000000000000000000002i3−2i3−i3−i3i3i30000000000000
χ524444-24-244-24-2-2-24-24-2-2-2-2-2-21-2-2-2-2-21-211-24-2-2-2-211114-2-21111-2-211114400-2-2-2-2-2-2-2-21111111100000000000000000000000000000000000000
χ534444-24-244-24-2-2-24-24-2-2-2-2-2-21-2-2-2-2-21-211-24-2-2-2-211114-2-21111-2-21111-4-40022222222-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ544444-24-2-4-4-24-2-2-24-24-22222-21-2-2-2-2-21-211-2-42222-1-1-1-1-422111122-1-1-1-14-400-2-222-2-2221111-1-1-1-100000000000000000000000000000000000000
χ554444-24-2-4-4-24-2-2-24-24-22222-21-2-2-2-2-21-211-2-42222-1-1-1-1-422111122-1-1-1-1-440022-2-222-2-2-1-1-1-1111100000000000000000000000000000000000000
χ564444-2-2444-2-24-2-2-24-24-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2111111-2-2111100440000000000000000-2-2-2-2-2-2-2-2111111110000000000000000000000
χ574444-2-2444-2-24-2-2-24-24-2-2-2-21-2-211-21-2-2-2-2-2-24411-2-2-2-2-2111111-2-2111100-4-4000000000000000022222222-1-1-1-1-1-1-1-10000000000000000000000
χ584444-2-24-4-4-2-24-2-2-24-2422221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1111122-1-1-1-1000000000000000000002323−23−230000−3−3−3−333330000000000000000000000
χ594444-2-24-4-4-2-24-2-2-24-2422221-2-211-21-2-2-2-2-22-4-4-1-122222-1-1111122-1-1-1-100000000000000000000−23−23232300003333−3−3−3−30000000000000000000000
χ6044-4-444-24-444-2-4-4-42-4244-4-44-2-2-4-424-2-2222-4-22-4-4-2-222444-222-2-22-2-2220000000000000000000000000000000000000000000000000000000000
χ6144-4-444-2-4444-2-4-4-42-42-4-4444-2-2-4-424-2-222242-24422-2-2-4-4-4-222-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ6244-4-44-24-444-24-4-42-42-4-4-444-24-2222-24-2-4-42-2-44-2-2-4-444222-222-22-222-2-20000000000000000000000000000000000000000000000000000000000
χ6344-4-44-2-24-44-2-2-4-4222244-4-4-2-2122-1-2-2122-12-2222-2-222-2-2-21-1-111-111-1-1000000000000000000000000000000000000023−2300−33−330000000000000
χ6444-4-44-2-24-44-2-2-4-4222244-4-4-2-2122-1-2-2122-12-2222-2-222-2-2-21-1-111-111-1-10000000000000000000000000000000000000−2323003−33−30000000000000
χ6544-4-44-2-2-444-2-2-4-42222-4-444-2-2122-1-2-2122-1-22-2-2-222-2-22221-1-11-11-1-111000000000000000000000000000000000000000003i−3i−3i3i0000000000000
χ6644-4-44-2-2-444-2-2-4-42222-4-444-2-2122-1-2-2122-1-22-2-2-222-2-22221-1-11-11-1-11100000000000000000000000000000000000000000−3i3i3i−3i0000000000000
χ6744-4-4-24-24-4-24-222-42-42-2-222-21-2222-21-2-1-12-4-222211-1-14-2-21-1-11-2211-1-1000023−2323−230000−3−333−3−33300000000000000000000000000000000000000
χ6844-4-4-24-24-4-24-222-42-42-2-222-21-2222-21-2-1-12-4-222211-1-14-2-21-1-11-2211-1-10000−2323−2323000033−3−333−3−300000000000000000000000000000000000000
χ6944-4-4-24-2-44-24-222-42-4222-2-2-21-2222-21-2-1-1242-2-2-2-1-111-4221-1-112-2-1-111000023−23−23230000−3−33333−3−300000000000000000000000000000000000000
χ7044-4-4-24-2-44-24-222-42-4222-2-2-21-2222-21-2-1-1242-2-2-2-1-111-4221-1-112-2-1-1110000−232323−23000033−3−3−3−33300000000000000000000000000000000000000
χ7144-4-4-2-244-4-2-24222-42-4-2-2221-2-2-1-121-2-222224-4-1-1-2-222-2111-1-11-2211-1-1004-40000000000000000-22-22-2-22211-1-111-1-10000000000000000000000
χ7244-4-4-2-244-4-2-24222-42-4-2-2221-2-2-1-121-2-222224-4-1-1-2-222-2111-1-11-2211-1-100-4400000000000000002-22-222-2-2-1-111-1-1110000000000000000000000
χ7344-4-4-2-24-44-2-24222-42-422-2-21-2-2-1-121-2-2222-2-441122-2-22-1-11-1-112-2-1-1110000000000000000000023−23−23230000−3−33333−3−30000000000000000000000
χ7444-4-4-2-24-44-2-24222-42-422-2-21-2-2-1-121-2-2222-2-441122-2-22-1-11-1-112-2-1-11100000000000000000000−232323−23000033−3−3−3−3330000000000000000000000
χ754-44-444400-4-4-44-444-4-400004444-4-4-4-4-44-4400000000000044-4-40000000000000000000000000000000000000000000000000000000000000000
χ764-44-444-200-4-424-44-2-4200004-2-24-42-422-22-2000000000000-2-222000000000000000023−23000023−2323−2300000000000000000000000000000000000000
χ774-44-444-200-4-424-44-2-4200004-2-24-42-422-22-2000000000000-2-2220000000000000000−23230000−2323−232300000000000000000000000000000000000000
χ784-44-44-2400-42-44-4-242-40000-24-2-2222-424-4-2000000000000-2-2220000000000000000000000000000006−66−66−66−66−66−60000000000000000000000
χ794-44-44-2400-42-44-4-242-40000-24-2-2222-424-4-2000000000000-2-222000000000000000000000000000000−66−66−66−66−66−660000000000000000000000
χ804-44-4-244002-4-4-2244-4-423−2323−23-2-24-22-422-4-22400023−2323−2323−23023−23-2-2220023−2323−230000000000000000000000000000000000000000000000000000000000
χ814-44-4-244002-4-4-2244-4-4−2323−2323-2-24-22-422-4-224000−2323−2323−23230−2323-2-22200−2323−23230000000000000000000000000000000000000000000000000000000000
χ824-44-4-24-2002-42-224-2-4223−2323−23-21-2-2222-121-1-200023−23−33−33023−2311-1-100−33−33000000000023−233-33-3−33−3300000000000000000000000000000000000000
χ834-44-4-24-2002-42-224-2-4223−2323−23-21-2-2222-121-1-200023−23−33−33023−2311-1-100−33−330000000000−2323-33-333−33−300000000000000000000000000000000000000
χ844-44-4-24-2002-42-224-2-42−2323−2323-21-2-2222-121-1-2000−23233−33−30−232311-1-1003−33−3000000000023−23-33-33−33−3300000000000000000000000000000000000000
χ854-44-4-24-2002-42-224-2-42−2323−2323-21-2-2222-121-1-2000−23233−33−30−232311-1-1003−33−30000000000−23233-33-33−33−300000000000000000000000000000000000000
χ864-44-4-2-240022-4-22-242-423−2323−231-2-21-12-122-22-2000−3323−2323−230−3311-1-100−33−330000000000000000000000006−66−6−2ζ5+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
χ874-44-4-2-240022-4-22-242-423−2323−231-2-21-12-122-22-2000−3323−2323−230−3311-1-100−33−33000000000000000000000000−66−662ζ5−2ζ7+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
χ884-44-4-2-240022-4-22-242-4−2323−23231-2-21-12-122-22-20003−3−2323−232303−311-1-1003−33−30000000000000000000000006−66−6ζ5−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
χ894-44-4-2-240022-4-22-242-4−2323−23231-2-21-12-122-22-20003−3−2323−232303−311-1-1003−33−3000000000000000000000000−66−66−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
χ904-4-4444400-4-4-4-44-4-4440000444-444-4-4-4-44-40000000000004-44-40000000000000000000000000000000000000000000000000000000000000000
χ914-4-4444-200-4-42-44-424-200004-2-2-44-2-4222-22000000000000-22-220000000000000023−230023−23−2323000000000000000000000000000000000000000000
χ924-4-4444-200-4-42-44-424-200004-2-2-44-2-4222-22000000000000-22-2200000000000000−232300−232323−23000000000000000000000000000000000000000000
χ934-4-444-2400-42-4-442-4-240000-24-22-2-22-42-442000000000000-22-220000000000000000000000000000006−6−666−6−666−6−660000000000000000000000
χ944-4-444-2400-42-4-442-4-240000-24-22-2-22-42-442000000000000-22-22000000000000000000000000000000−666−6−666−6−666−60000000000000000000000
χ954-4-44-244002-4-42-2-4-44423−23−2323-2-242-2422-42-2-4000−232323−23−2323023−23-22-220023−23−23230000000000000000000000000000000000000000000000000000000000
χ964-4-44-244002-4-42-2-4-444−232323−23-2-242-2422-42-2-400023−23−232323−230−2323-22-2200−232323−230000000000000000000000000000000000000000000000000000000000
χ974-4-44-24-2002-422-2-424-223−23−2323-21-22-2-22-12-112000−2323−333−3023−231-11-100−333−30000000023−2300−333−3-333-300000000000000000000000000000000000000
χ984-4-44-24-2002-422-2-424-223−23−2323-21-22-2-22-12-112000−2323−333−3023−231-11-100−333−300000000−2323003−3−333-3-3300000000000000000000000000000000000000
χ994-4-44-24-2002-422-2-424-2−232323−23-21-22-2-22-12-11200023−233−3−330−23231-11-1003−3−330000000023−2300−333−33-3-3300000000000000000000000000000000000000
χ1004-4-44-24-2002-422-2-424-2−232323−23-21-22-2-22-12-11200023−233−3−330−23231-11-1003−3−3300000000−2323003−3−33-333-300000000000000000000000000000000000000
χ1014-4-44-2-240022-42-22-4-2423−23−23231-2-2-11-2-1222-220003−323−23−23230−331-11-100−333−30000000000000000000000006−6−66−2ζ5+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+2ζ13−2ζ230000000000000000000000
χ1024-4-44-2-240022-42-22-4-2423−23−23231-2-2-11-2-1222-220003−323−23−23230−331-11-100−333−3000000000000000000000000−666−62ζ5−2ζ7+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+2ζ230000000000000000000000
χ1034-4-44-2-240022-42-22-4-24−232323−231-2-2-11-2-1222-22000−33−232323−2303−31-11-1003−3−330000000000000000000000006−6−66ζ5−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+ζ230000000000000000000000
χ1044-4-44-2-240022-42-22-4-24−232323−231-2-2-11-2-1222-22000−33−232323−2303−31-11-1003−3−33000000000000000000000000−666−6−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−ζ230000000000000000000000
χ1058888-4-4-488-4-4-4-4-4-4-4-4-4-4-4-4-4222222222222-4-4-4222222-422-1-1-1-122-1-1-1-10000000000000000000000000000000000000000000000000000000000
χ1068888-4-4-4-8-8-4-4-4-4-4-4-4-4-44444222222222222444-2-2-2-2-2-24-2-2-1-1-1-1-2-211110000000000000000000000000000000000000000000000000000000000
χ10788-8-8-4-4-48-8-4-4-4444444-4-444222-2-2-2222-2-2-24-44-2-222-2-2-422-111-12-2-1-1110000000000000000000000000000000000000000000000000000000000
χ10888-8-8-4-4-4-88-4-4-444444444-4-4222-2-2-2222-2-2-2-44-422-2-2224-2-2-111-1-2211-1-10000000000000000000000000000000000000000000000000000000000
χ1098-88-88-4-400-8448-8-4-4440000-4-42-44-244-2-44200000000000022-2-20000000000000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-400444-44-4-44443−4343−432222-2-2-2-2-22-22000−2323−2323−23230−2323-1-111003−33−30000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4-400444-44-4-444−4343−43432222-2-2-2-2-22-2200023−2323−2323−23023−23-1-11100−33−330000000000000000000000000000000000000000000000000000000000
χ1128-8-888-4-400-844-8844-4-40000-4-424-4244-24-4-20000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4-4004444-444-4-443−43−4343222-222-2-2-2-22-200023−23−232323−230−2323-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4-4004444-444-4-4−434343−43222-222-2-2-2-22-2000−232323−23−2323023−23-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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