Finite Group Databasebeta

← Group #13172295

Character table — Group #13172295

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222444444444444488888888888888888121212121212121212121212121212121212242424242424242424242424242424242424363636363636363636363636727272108108
order12223336666666662333666666666366666666666666662244446666121212121212121266666612121212121212121212121222244466666612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-111111111-1-1-1-111111111-1-11111-1-1-1-11-1-1-1-11-1-1-1-1111-1-1-1-1
χ311111111111111111111111111111111111111111111111-11-11111-1-111-1-111111-111-1-11-11111-1-11111-11-11-1-111-1-1-1-1-11-1-1-1
χ411111111111111111111111111111111111111111111111-11-1-1-111-1-111-1-1-1-1-1-11-111-1-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-1111
χ51111111111111111111111111111111111111111111111-11-1111-1-111-1-1111111-11-1-111-1111-1-1111111-1-11-11-1-1-111-1-1-1-11-1-1
χ61111111111111111111111111111111111111111111111-11-11-1-1-1-111-1-111-1-1-1-1-11-1-111-11-1-1-1-111-1-1-1-1-11-11-1-111-1-1-1-1-11-111
χ71111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-11-1-1-1-1111-1-111
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
χ91111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-11111-1-1-1-111-1-1111111-1-11-1-1-1-1-111-1-111-1-11-111-1-111-1-111-1
χ101111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-1-1-1-1-111111111-1-1-11-1-1-1-1-1-1111-111-1-1-1-11111-11-1-11
χ111111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-111-1-1-1-11111-1-11-111-1-1-111-1-1-11111-1-1-111-1-111111-1-11-1-1-11
χ121111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-11-1111-1-1-1-111-1-1111-111-1-1-11-11-1-111-1-111-1-1-1111-1-1-1-1-1-11111-1
χ131111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-11-1-1-11111-1-111-1-1-11-1-1111-11-111-1-111-1-1-1-1-1111-1-1-1-1-1-1111-11
χ141111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11-1-11111-1-1-1-111-11-1-1111-1-1111-1-1-1-111-111-1-111111-1-11-1-11-1
χ151111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1111111-1-11-111-1-1-1-11111-11-11-1
χ161111111111111111-11111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-11-1-1-1-11111-1-111-1-1-1-1-1-111-111111-1-11111-1-11-111-1-111-1-11-11
χ17222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1222200-1-1-1-12222000022-1-1-1-1-1-100-1-1-1-100002000020000-1-1-10000
χ18222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-12-22-200-1-11122-2-200002-2-1-111-1100-1-1110000-20000-200001110000
χ19222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-22-220011-1-1-2-2220000-2211-1-11-10011-1-10000-20000-200001110000
χ20222222-122-1-122-12222-1-12-1-1-1-122-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2001111-2-2-2-20000-2-211111100111100002000020000-1-1-10000
χ21222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-1111122-2-200-1-1-1-1-2-2-2-2000022-1-1-1-111001111000020000-20000-1-110000
χ22222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-111112-2-2200-1-111-2-22200002-2-1-1111-10011-1-10000-200002000011-10000
χ23222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-11111-222-20011-1-122-2-20000-2211-1-1-1100-1-1110000-200002000011-10000
χ24222222-122-1-122-122-22-1-12-1-1-1-122-1-1-1-2-21-2-21111-1-1-11111-2-22200111122220000-2-21111-1-100-1-1-1-1000020000-20000-1-110000
χ2522222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-1020222002200-1-1-1-1220-100-1-1022-100-1-1-1-1-1-100202000-1-10000-100
χ2622222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10202-2-2002200-1-111-2-20-100-1-102-2100-1-1111100-20-2000110000100
χ2722222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10-20-22200-2-20011-1-1220100110-22-10011-1-1-1-100-20-2000110000100
χ2822222-122-1222-122-12-12-1-122-1-1-1-12-1-12-12-1-122-1-1-1-1-1-1-1-1-10-20-2-2-200-2-2001111-2-20100110-2-210011111100202000-1-10000-100
χ2922222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-11111020-22-200220011-1-1-2-20-100-1-10-2210011-1-11100-202000110000-100
χ3022222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-11111020-2-220022001111220-100-1-10-2-2-1001111-1-10020-2000-1-10000100
χ3122222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-111110-2022-200-2-200-1-1-1-1-2-2010011022100-1-1-1-1110020-2000-1-10000100
χ3222222-122-1222-122-1-2-12-1-122-1-1-1-12-1-1-21-211-2-211-1-1-111110-202-2200-2-200-1-1112201001102-2-100-1-111-1-100-202000110000-100
χ332222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-12020222200-1-10022-1-1-10-1-10020-12-1-100-1-1-1-1020200-1-100000-1000
χ342222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-12020-2-22200-1-100-2-211-10-1-100201-2-1-10011110-20-20011000001000
χ352222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-20-2022-2-200110022-1-1101100-20-121100-1-1-1-10-20-20011000001000
χ362222-122-1222-122-122-1-12-1-1-122-1-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-20-20-2-2-2-2001100-2-211101100-201-211001111020200-1-100000-1000
χ372222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-1111120-202-2220011002211-10-1-100-20-1-21100-1-111020-200-1-1000001000
χ382222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-1111120-20-2222001100-2-2-1-1-10-1-100-2012110011-1-10-202001100000-1000
χ392222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-11111-20202-2-2-200-1-100221110110020-1-2-1-100-1-1110-202001100000-1000
χ402222-122-1222-122-12-2-1-12-1-1-122-1-1-12-11-2-21111-2-2-1-1-11111-2020-22-2-200-1-100-2-2-1-11011002012-1-10011-1-1020-200-1-1000001000
χ4144444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2114-2-2-2-2-2-211111111104040000-2-200-2-200000-200110-2000011000000000000000000000
χ4244444-2-24-2-2-24-2-24-24-2-21-2-2-211-2-2-2114-2-2-2-2-2-21111111110-40-4000022002200000200-1-1020000-1-1000000000000000000000
χ4344444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-211-4222222-1-1111-1-1-1-1040-40000-2-2002200000-20011020000-1-1000000000000000000000
χ4444444-2-24-2-2-24-2-24-2-4-2-21-2-2-211-2-2-211-4222222-1-1111-1-1-1-10-40400002200-2-200000200-1-10-2000011000000000000000000000
χ454444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-21-24-2-2-211-2-21111111404000-2-200-2-2000000-201100-20001100000000000000000000000
χ464444-24-2-24-2-2-24-2-244-21-2-211-2-2-2-21-21-24-2-2-211-2-21111111-40-400022002200000020-1-1002000-1-100000000000000000000000
χ474444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-212-4222-1-122111-1-1-1-140-4000-2-20022000000-2011002000-1-100000000000000000000000
χ484444-24-2-24-2-2-24-2-24-4-21-2-211-2-2-2-21-212-4222-1-122111-1-1-1-1-4040002200-2-200000020-1-100-20001100000000000000000000000
χ494444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-21-2-2411-2-2-2-2111111100004400000000-2-2-2-200000000-2-20000111100000000000000000
χ504444-2-24-2-244-2-24-2-241-2-21-2-2-2-211-2-21-2-2411-2-2-2-211111110000-4-400000000222200000000220000-1-1-1-100000000000000000
χ514444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-2122-4-1-12222111-1-1-1-100004-400000000-2-22200000000-22000011-1-100000000000000000
χ524444-2-24-2-244-2-24-2-2-41-2-21-2-2-2-211-2-2122-4-1-12222111-1-1-1-10000-440000000022-2-2000000002-20000-1-11100000000000000000
χ5344-4-4444-4-44-44-4-4-440444-4-4-44-44-44-440000000004-4-4000000000000000000000000000000000000000000000000000000000
χ5444-4-444-2-4-4-224-42-4404-2-2-422-224-4-22-2000000000-2220000000000−2i32i3000000000000−2i32i30000000000000000000000000000000
χ5544-4-444-2-4-4-224-42-4404-2-2-422-224-4-22-2000000000-22200000000002i3−2i30000000000002i3−2i30000000000000000000000000000000
χ5644-4-44-24-424-442-4-4-20-24-22-4-4-22-2242-2000000000-222000000000000000000000000000000000000000000000000−2i32i30000000
χ5744-4-44-24-424-442-4-4-20-24-22-4-4-22-2242-2000000000-2220000000000000000000000000000000000000000000000002i3−2i30000000
χ5844-4-4-2442-44-4-2-4-4240-2-242224-4-22-2-4-2000000000-22200000000000000−2i32i30000000000000000−2i32i300000000000000000000000
χ5944-4-4-2442-44-4-2-4-4240-2-242224-4-22-2-4-2000000000-222000000000000002i3−2i300000000000000002i3−2i300000000000000000000000
χ6044-4-4-24-22-4-22-2-42240-21-22-1-1-22-22121000003-3001-1-133-3-3000000−2i32i300−2i32i300000000i3−i3000000i3−i300000000000000000000000
χ6144-4-4-24-22-4-22-2-42240-21-22-1-1-22-22121000003-3001-1-133-3-30000002i3−2i3002i3−2i300000000−i3i3000000−i3i300000000000000000000000
χ6244-4-4-24-22-4-22-2-42240-21-22-1-1-22-2212100000-33001-1-1-3-333000000−2i32i3002i3−2i300000000i3−i3000000−i3i300000000000000000000000
χ6344-4-4-24-22-4-22-2-42240-21-22-1-1-22-2212100000-33001-1-1-3-3330000002i3−2i300−2i32i300000000−i3i3000000i3−i300000000000000000000000
χ644-44-4444-4-4-44-44-44-40444-44-4-4-4-44-444000000000-44-4000000000000000000000000000000000000000000000000000000000
χ654-44-444-2-4-42-2-4424-404-2-2-4-2222-442-2-20000000002-22000000000000−2i32i3000000000000−2i32i300000000000000000000000000000
χ664-44-444-2-4-42-2-4424-404-2-2-4-2222-442-2-20000000002-220000000000002i3−2i30000000000002i3−2i300000000000000000000000000000
χ674-44-44-24-42-44-4-2-4420-24-224-4222-2-4-2-20000000002-220000000000000000−2i32i30000000000000000−2i32i3000000000000000000000
χ684-44-44-24-42-44-4-2-4420-24-224-4222-2-4-2-20000000002-2200000000000000002i3−2i300000000000000002i3−2i3000000000000000000000
χ694-44-44-2-2-422-2-4-22420-2-212-22-1-12-221100000003-3-11-13-33-300000000−2i32i300−2i32i300000000i3−i3000000i3−i3000000000000000000000
χ704-44-44-2-2-422-2-4-22420-2-212-22-1-12-221100000003-3-11-13-33-3000000002i3−2i3002i3−2i300000000−i3i3000000−i3i3000000000000000000000
χ714-44-44-2-2-422-2-4-22420-2-212-22-1-12-22110000000-33-11-1-33-3300000000−2i32i3002i3−2i300000000i3−i3000000−i3i3000000000000000000000
χ724-44-44-2-2-422-2-4-22420-2-212-22-1-12-22110000000-33-11-1-33-33000000002i3−2i300−2i32i300000000−i3i3000000i3−i3000000000000000000000
χ734-44-4-2442-4-4424-4-2-40-2-242-22-4-42-224-20000000002-220000000000000000000000000000000000000000000000−2i32i3000000000
χ744-44-4-2442-4-4424-4-2-40-2-242-22-4-42-224-20000000002-2200000000000000000000000000000000000000000000002i3−2i3000000000
χ754-4-4444444-4-4-4-44-4-404444-44-44-4-4-4-44000000000-4-44000000000000000000000000000000000000000000000000000000000
χ764-4-4444-24422-4-4-2-4-404-2-242-22-2-4-422-200000000022-200000000000000000000000000000000000000000000000000−2i32i300000
χ774-4-4444-24422-4-4-2-4-404-2-242-22-2-4-422-200000000022-2000000000000000000000000000000000000000000000000002i3−2i300000
χ784-4-444-244-2-4-4-424-420-24-2-2-442-222-42-200000000022-200000000000000000023−23000000000000000023−230000000000000000000
χ794-4-444-244-2-4-4-424-420-24-2-2-442-222-42-200000000022-2000000000000000000−23230000000000000000−23230000000000000000000
χ804-4-44-244-24-4-42-442-40-2-24-22-2-44222-4-200000000022-20000000000000000000023−23000000000000000023−2300000000000000000
χ814-4-44-244-24-4-42-442-40-2-24-22-2-44222-4-200000000022-200000000000000000000−23230000000000000000−232300000000000000000
χ824-4-44-2-24-2-2-4-42242201-2-212-22-2-1-12210003-30000-1-113-3-330000000000000023−2323−2300000000000000−33−3300000000000000000
χ834-4-44-2-24-2-2-4-42242201-2-212-22-2-1-12210003-30000-1-113-3-3300000000000000−2323−2323000000000000003−33−300000000000000000
χ844-4-44-2-24-2-2-4-42242201-2-212-22-2-1-1221000-330000-1-11-333-30000000000000023−23−232300000000000000−333−300000000000000000
χ854-4-44-2-24-2-2-4-42242201-2-212-22-2-1-1221000-330000-1-11-333-300000000000000−232323−23000000000000003−3−3300000000000000000
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
χ8888-8-88-4-4-84-44844-8-40-4-424442-2-44-4-220000000002-2-2000000000000000000000000000000000000000000000000000000000
χ8988-8-8-4-48448-8-44-84-402-4-4-244-442-2-4420000000002-2-2000000000000000000000000000000000000000000000000000000000
χ9088-8-8-4-4-444-44-4444-40222-2-2-22-22-22-2-1000006-600-111-3-33300000000000000000000000000000000000000000000000000000
χ9188-8-8-4-4-444-44-4444-40222-2-2-22-22-22-2-100000-6600-11133-3-300000000000000000000000000000000000000000000000000000
χ928-88-8-48-44-84-4484-4-80-42-442-2444-4-2-42000000000-22-2000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-4844-884-4-8-4402-4-4-2-4444-224-42000000000-22-2000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-4-4444-44-44-440222-22-2-2-2-22-22-100000006-61-11-33-3300000000000000000000000000000000000000000000000000000
χ958-88-8-4-4-4444-44-44-440222-22-2-2-2-22-22-10000000-661-113-33-300000000000000000000000000000000000000000000000000000
χ968-8-888-4-48-444-84-4-840-4-42-44-4-22444-22000000000-2-22000000000000000000000000000000000000000000000000000000000
χ978-8-88-48-4-48444-8-44-80-42-4-4-224-444-242000000000-2-22000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4-4-4-44444-44402222-22-22-2-2-2-2-10006-6000011-1-333-300000000000000000000000000000000000000000000000000000
χ998-8-88-4-4-4-4-44444-44402222-22-22-2-2-2-2-1000-66000011-13-3-3300000000000000000000000000000000000000000000000000000

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