Finite Group Databasebeta

← Group #13172312

Character table — Group #13172312

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222444444444444488888888888888888121212121212121212121212121212121212242424242424242424242424242424242424363636363636363636363636727272108108
order122233366666666623336666666663666666666666666622444466661212121212121212666666121212121212121212121212244444661212121212121222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-11111-1-1-1-1111111111111-1-11111-1-1-1-11-1-11-1-111-1-1-1-11-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-11111-1-1111111-1-11-111-1-11-11111-1-11111-11-1-11-1-1-111-1-1-11-1-1-1
χ411111111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1-1-111-1-11-111-1-11-1-1-111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1111
χ51111111111111111111111111111111111111111111111-11-1111-1-1111111-1-111-11-1-111-1111-1-1111111-1-11-1-11-1-1-1-111-1-11-1-1
χ61111111111111111111111111111111111111111111111-11-11-1-1-1-111-1-1-1-1-1-111-11-1-111-11-1-1-1-111-1-1-1-1-11-1-11-1-1-111-1-1-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11-1-111-1-1-1-11-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1111111-1-1-1-1-1-1111111-1-11-1-1-1-1-111-1-111-1-1-1111-1-111-11-11-1
χ101111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-111-1-1-1-1111111-1-1-11-1-1-1-1-1-1111-11-11-11111-1-1-1-11-11
χ111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-111-1-111-1-1-1-1111-111-1-1-111-1-1-11111-1-1-1111-1-1-1-1-1-1-1-1111-11
χ121111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-111-1-1-11-11-1-111-1-111-1-1-1111-1-111111-1-11-1
χ131111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-11111-1-111-1-1-11-1-1111-11-111-1-111-1-1-1-1-1111-1-111111-1-1-11
χ141111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-1-111-1-11111-1-1-11-1-1111-1-1111-1-1-1-111-1111-1-1-1-1-1-1-1-11111-1
χ151111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-1-1-1-1-1111-1111111-1-11-11-11-11111-1-1-1-111-1
χ161111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-111-111111-1-11111-1-1-1111-1-111-11-1-11
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-10000222222-1-1-1-1-1-100-1-1-1-10000200200-1-10000-10000
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12-22-200-1-111000022-2-22-2-1-111-1100-1-1110000-200-20011000010000
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-22-220011-1-10000-2-222-2211-1-11-10011-1-10000-200-20011000010000
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20011110000-2-2-2-2-2-21111110011110000200200-1-10000-10000
χ21222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-1111122-2-200-1-1-1-10000-2-2-2-222-1-1-1-1110011110000200-200-1-1000010000
χ22222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-111112-2-2200-1-1110000-2-2222-2-1-1111-10011-1-10000-200200110000-10000
χ23222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-11111-222-20011-1-1000022-2-2-2211-1-1-1100-1-1110000-200200110000-10000
χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-11111-2-22200111100002222-2-21111-1-100-1-1-1-10000200-200-1-1000010000
χ2522222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-1020222002222-1-100-1-10-100-1-102-1200-1-1-1-1-1-10020020000-1-100-100
χ2622222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10202-2-20022-2-21100-1-10-100-1-1021-200-1-1111100-200-200001100100
χ2722222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10-20-22200-2-222-1-100110100110-2-120011-1-1-1-100-200-200001100100
χ2822222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10-20-2-2-200-2-2-2-21100110100110-21-2001111110020020000-1-100-100
χ2922222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-11111020-22-20022221100110-100-1-10-2-1-20011-1-11100-20020000-1-100100
χ3022222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-11111020-2-220022-2-2-1-100110-100-1-10-212001111-1-100200-200001100-100
χ3122222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-111110-2022-200-2-2221100-1-101001102-1-200-1-1-1-11100200-200001100-100
χ3222222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-111110-202-2200-2-2-2-2-1-100-1-1010011021200-1-111-1-100-20020000-1-100100
χ332222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-12020222200-1-122-1-100-10-1-100202-1-1-100-1-1-1-102002000-1-1000-1000
χ342222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-12020-2-2220011-2-2-1-100-10-1-10020-21-1-10011110-200-2000110001000
χ352222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2022-2-200-1-1221100101100-202-11100-1-1-1-10-200-2000110001000
χ362222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-20-20-2-2-2-20011-2-21100101100-20-211100111102002000-1-1000-1000
χ372222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-1111120-202-22200-1-1-2-21100-10-1-100-20211100-1-1110200-200011000-1000
χ382222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-1111120-20-22220011221100-10-1-100-20-2-1110011-1-10-2002000-1-10001000
χ392222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-11111-20202-2-2-200-1-1-2-2-1-1001011002021-1-100-1-1110-2002000-1-10001000
χ402222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-11111-2020-22-2-2001122-1-10010110020-2-1-1-10011-1-10200-200011000-1000
χ4144444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2114-2-2-2-2-2-211111111104040000-2-2000000-2-20-200110-2000011000000000000000000000
χ4244444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2114-2-2-2-2-2-21111111110-40-4000022000000220200-1-1020000-1-1000000000000000000000
χ4344444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-211-4222222-1-1111-1-1-1-1040-40000-2-2000000220-20011020000-1-1000000000000000000000
χ4444444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-211-4222222-1-1111-1-1-1-10-404000022000000-2-20200-1-10-2000011000000000000000000000
χ454444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-21-24-2-2-211-2-21111111404000-2-2000000-2-200-201100-20001100000000000000000000000
χ464444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-21-24-2-2-211-2-21111111-40-400022000000220020-1-1002000-1-100000000000000000000000
χ474444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-212-4222-1-122111-1-1-1-140-4000-2-20000002200-2011002000-1-100000000000000000000000
χ484444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-212-4222-1-122111-1-1-1-1-40400022000000-2-20020-1-100-20001100000000000000000000000
χ494444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-21-2-2411-2-2-2-211111110000440000-2-2-2-2000000000000-2-20000111100000000000000000
χ504444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-21-2-2411-2-2-2-211111110000-4-400002222000000000000220000-1-1-1-100000000000000000
χ514444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-2122-4-1-12222111-1-1-1-100004-40000-2-222000000000000-22000011-1-100000000000000000
χ524444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-2122-4-1-12222111-1-1-1-10000-44000022-2-20000000000002-20000-1-11100000000000000000
χ5344-4-44444-44-4-4-4-4-440444-44-4-4-44-4-4440000000004-4-4000000000000000000000000000000000000000000000000000000000
χ5444-4-444-24-4-22-4-42-4404-2-2-4-22224-42-2-2000000000-222000000000000−2i32i3000000000000−2i32i300000000000000000000000000000
χ5544-4-444-24-4-22-4-42-4404-2-2-4-22224-42-2-2000000000-2220000000000002i3−2i30000000000002i3−2i300000000000000000000000000000
χ5644-4-44-24424-4-42-4-4-20-24-224-422-22-4-2-2000000000-22200000000000000000000−2i32i3000000000000−2i32i3000000000000000000000
χ5744-4-44-24424-4-42-4-4-20-24-224-422-22-4-2-2000000000-222000000000000000000002i3−2i30000000000002i3−2i3000000000000000000000
χ5844-4-44-2-242-22-422-4-20-2-212-22-1-1-2221100000003-31-1-133-3-300000000−2i32i3000000−2i32i30000i3−i3000000i3−i3000000000000000000000
χ5944-4-44-2-242-22-422-4-20-2-212-22-1-1-2221100000003-31-1-133-3-3000000002i3−2i30000002i3−2i30000−i3i3000000−i3i3000000000000000000000
χ6044-4-44-2-242-22-422-4-20-2-212-22-1-1-222110000000-331-1-1-3-33300000000−2i32i30000002i3−2i30000i3−i3000000−i3i3000000000000000000000
χ6144-4-44-2-242-22-422-4-20-2-212-22-1-1-222110000000-331-1-1-3-333000000002i3−2i3000000−2i32i30000−i3i3000000i3−i3000000000000000000000
χ6244-4-4-244-2-44-42-4-4240-2-242-22-4-4-2224-2000000000-22200000000000000000000000000000000000000000000000023−230000000
χ6344-4-4-244-2-44-42-4-4240-2-242-22-4-4-2224-2000000000-222000000000000000000000000000000000000000000000000−23230000000
χ644-44-4444-44-44-4-4-44-40444-4-4-44-4-444-44000000000-44-4000000000000000000000000000000000000000000000000000000000
χ654-44-444-2-442-2-4-424-404-2-2-422-22-44-22-20000000002-220000000000−2i32i3000000000000−2i32i30000000000000000000000000000000
χ664-44-444-2-442-2-4-424-404-2-2-422-22-44-22-20000000002-2200000000002i3−2i30000000000002i3−2i30000000000000000000000000000000
χ674-44-44-24-4-2-44-42-4420-24-22-4-4-222-242-20000000002-220000000000000000000000000000000000000000000000000023−2300000
χ684-44-44-24-4-2-44-42-4420-24-22-4-4-222-242-20000000002-2200000000000000000000000000000000000000000000000000−232300000
χ694-44-4-24424-442-4-4-2-40-2-242224-42-2-2-4-20000000002-22000000000000000000−2i32i3000000000000−2i32i300000000000000000000000
χ704-44-4-24424-442-4-4-2-40-2-242224-42-2-2-4-20000000002-220000000000000000002i3−2i30000000000002i3−2i300000000000000000000000
χ714-44-4-24-2242-22-42-2-40-21-22-1-1-222-2121000003-300-11-13-33-3000000−2i32i3000000−2i32i30000i3−i3000000i3−i300000000000000000000000
χ724-44-4-24-2242-22-42-2-40-21-22-1-1-222-2121000003-300-11-13-33-30000002i3−2i30000002i3−2i30000−i3i3000000−i3i300000000000000000000000
χ734-44-4-24-2242-22-42-2-40-21-22-1-1-222-212100000-3300-11-1-33-33000000−2i32i30000002i3−2i30000i3−i3000000−i3i300000000000000000000000
χ744-44-4-24-2242-22-42-2-40-21-22-1-1-222-212100000-3300-11-1-33-330000002i3−2i3000000−2i32i30000−i3i3000000i3−i300000000000000000000000
χ754-4-44444-4-4-4-4444-4-404444-44-44-4-4-4-44000000000-4-44000000000000000000000000000000000000000000000000000000000
χ764-4-4444-2-4-42244-2-4-404-2-242-22-2-4-422-200000000022-20000000000000000000000000000000000000000000000−2i32i3000000000
χ774-4-4444-2-4-42244-2-4-404-2-242-22-2-4-422-200000000022-200000000000000000000000000000000000000000000002i3−2i3000000000
χ784-4-444-24-42-4-44-24-420-24-2-2-442-222-42-200000000022-2000000000000000023−230000000000000000000023−2300000000000000000
χ794-4-444-24-42-4-44-24-420-24-2-2-442-222-42-200000000022-20000000000000000−232300000000000000000000−232300000000000000000
χ804-4-44-2442-4-4-4-2442-40-2-24-22-2-44222-4-200000000022-20000000000000023−230000000000000000000023−230000000000000000000
χ814-4-44-2442-4-4-4-2442-40-2-24-22-2-44222-4-200000000022-200000000000000−232300000000000000000000−23230000000000000000000
χ824-4-44-2-2422-4-4-2-242201-2-212-22-2-1-12210003-30000-1-113-3-33000000000023−2323−23000000000000000000−33−3300000000000000000
χ834-4-44-2-2422-4-4-2-242201-2-212-22-2-1-12210003-30000-1-113-3-330000000000−2323−23230000000000000000003−33−300000000000000000
χ844-4-44-2-2422-4-4-2-242201-2-212-22-2-1-1221000-330000-1-11-333-3000000000023−23−2323000000000000000000−333−300000000000000000
χ854-4-44-2-2422-4-4-2-242201-2-212-22-2-1-1221000-330000-1-11-333-30000000000−232323−230000000000000000003−3−3300000000000000000
χ868888-4-4-4-4-4-4-4-4-4-4-4-48222222222222-1-4-4-4222222-1-1-1-1-1-1-100000000000000000000000000000000000000000000000000000
χ878888-4-4-4-4-4-4-4-4-4-4-4-4-8222222222222-1444-2-2-2-2-2-2-1-1-1111100000000000000000000000000000000000000000000000000000
χ8888-8-8-48-4-4-8-444-84480-42-442-244-44-2-420000000002-2-2000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-48-448-844-84-402-4-4-2-44442-24-420000000002-2-2000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-4-44-444444-40222-22-2-2-22-2-22-100000006-6-111-3-33300000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-4-44-444444-40222-22-2-2-22-2-22-10000000-66-11133-3-300000000000000000000000000000000000000000000000000000
χ928-88-88-4-4-8-44-4-844840-4-424442-24-4-4-22000000000-22-2000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-484-4-8844-8-4402-4-4-244-44-22-442000000000-22-2000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-44-44-4444-440222-2-2-22-2-222-2-1000006-6001-11-33-3300000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-44-44-4444-440222-2-2-22-2-222-2-100000-66001-113-33-300000000000000000000000000000000000000000000000000000
χ968-8-888-4-4-84448-4-4-840-4-42-44-4-22444-22000000000-2-22000000000000000000000000000000000000000000000000000000000
χ978-8-88-48-44-844-48-44-80-42-4-4-224-444-242000000000-2-22000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-44444-4-4-44402222-22-22-2-2-2-2-10006-6000011-1-333-300000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-44444-4-4-44402222-22-22-2-2-2-2-1000-66000011-13-3-3300000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).