Finite Group Databasebeta

← Group #11878526

Character table — Group #11878526

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order12223344666666366612121212448121212122424242424242424224488121212121212121212224466668122424242424886121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-1111111111111-11-1111-1-1-111-1-1-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-11111111-11-11-1-1-1111-1-111-1-1-1-111-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-111-11-1-1-1111-1-111111-11-1-1-1-111-1-1-11-11-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-11-1-1-11111-1-1111-11-1-1-111-1-1111-1-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-1-11-1-1-111-1-111-1-1-11-1111-1-1-1-111-111-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-111-111-1-1-1-1-11-1111111-1-11-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11111-1-1111-1111-1-1-111-11-1-11-11-1-1-1-111-1-11-11-11
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1111-1111-1-1-1-1111-1-1-11-1-1-111-1-111-1111-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-11-1111-1-111-1-1-1111-1111-1-1-1-1111-1-11-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111-1-11-1-11-111-11-1111111-1-1-11-1-11
χ131111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-1-1-1-1-1
χ141111111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-11-111-1-1-1-1-111-1-1-1-1-1-111-111
χ151111111111111111111111-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-111111-1-111-1-1-1-1-1-1111
χ161111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-200-2-20000000000020020-20000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-2200-2-200000000000200-20200002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2002200000000000-20020-200002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222002200000000000-200-2020000-220000000
χ2122222-1222-12-1-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-1020200002-1-1-1-1-1-10202000-12-100-1-10000-1-1000
χ2222222-1222-12-1-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-200002-1-1-1-1-1-10-20-20001-210011000011000
χ2322222-1222-12-1-12-1-1-1-1-122-12-2-222-1-1-2-211111102020000-2-1111-1-10-202000-1-2-1001100001-1000
χ2422222-1222-12-1-12-1-1-1-1-122-12-2-222-1-1-2-21111110-20-20000-2-1111-1-1020-200012100-1-10000-11000
χ2522222-1222-12-1-12-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110202000021-1-1-111020-2000-1-2-100110000-11000
χ2622222-1222-12-1-12-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110-20-2000021-1-1-1110-20200012100-1-100001-1000
χ2722222-1222-12-1-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-102020000-21111110-20-2000-12-100-1-1000011000
χ2822222-1222-12-1-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10-20-20000-211111102020001-2100110000-1-1000
χ292222-1222-12-122-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1202022-1-1-122-1-1-1-12020-1-1-1000-1-100000000-100
χ302222-1222-12-122-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-2-211-122-1-1-1-1-20-201110001100000000100
χ312222-1222-12-122-1-1-1-1-12-1-122-2-2-1-1-1-111-2-211112020-2-2-1-112-211-1-120-20-1-1-10001100000000100
χ322222-1222-12-122-1-1-1-1-12-1-122-2-2-1-1-1-111-2-21111-20-20221112-211-1-1-2020111000-1-100000000-100
χ332222-1222-12-122-1-1-1-1-12-1-12-22-211-1-111-2-211112020-2-2-1-1-1-22-1-111-2020-1110001100000000-100
χ342222-1222-12-122-1-1-1-1-12-1-12-22-211-1-111-2-21111-20-202211-1-22-1-11120-201-1-1000-1-100000000100
χ352222-1222-12-122-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1202022-1-11-2-21111-20-20-111000-1-100000000100
χ362222-1222-12-122-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1-20-20-2-2111-2-2111120201-1-10001100000000-100
χ3744444-2-4-44-24-2-24-2-2-2-22-4-42000002200000000040-4000000000000000000-2020000000000000
χ3844444-2-4-44-24-2-24-2-2-2-22-4-420000022000000000-40400000000000000000020-20000000000000
χ394444-24-4-4-24-244-2-2-2-2-2-422-400000220000000040-40002200000000000-2000000000000000000
χ404444-24-4-4-24-244-2-2-2-2-2-422-4000002200000000-404000-2-2000000000002000000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-2111100000000-2-2-2111100000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-1000000002-22-1-11100000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-100000000-22-211-1-100000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000222-1-1-1-100000000000000000000000
χ4544-4-4440044-4-4-4-444-4-40000000000000000000000000000000000000000000000000022−2200000
χ4644-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000000000000000−222200000
χ474-44-4444-4-4-4-44-444-4-44-44-4400000-440000000000000000000000000000000000000000000000
χ484-44-444-44-4-4-44-444-4-444-44-4000004-40000000000000000000000000000000000000000000000
χ494-44-44-24-4-42-4-224-222-224-4-2000002-200000000000000000000000000000000000−2i32i3000000000
χ504-44-44-24-4-42-4-224-222-224-4-2000002-2000000000000000000000000000000000002i3−2i3000000000
χ514-44-44-2-44-42-4-224-222-2-2-44200000-220023−232323−23−2300000000000000000000000000000000000000
χ524-44-44-2-44-42-4-224-222-2-2-44200000-2200−2323−23−23232300000000000000000000000000000000000000
χ534-44-4-244-42-424-4-2-222-2-4-224000002-20000000000000000000000000000−2i32i30000000000000000
χ544-44-4-244-42-424-4-2-222-2-4-224000002-200000000000000000000000000002i3−2i30000000000000000
χ554-44-4-24-442-424-4-2-222-242-2-4000−2i32i3-22000000000000000000000−2i32i300000000000000000000000
χ564-44-4-24-442-424-4-2-222-242-2-40002i3−2i3-220000000000000000000002i3−2i300000000000000000000000
χ574-44-4-2-2-44222-22-21-1-11-22-22000−2i32i31-10023−23−3−333000000000003i−3ii3−i300000000000000000000000
χ584-44-4-2-2-44222-22-21-1-11-22-22000−2i32i31-100−232333−3−300000000000−3i3ii3−i300000000000000000000000
χ594-44-4-2-2-44222-22-21-1-11-22-220002i3−2i31-10023−23−3−33300000000000−3i3i−i3i300000000000000000000000
χ604-44-4-2-2-44222-22-21-1-11-22-220002i3−2i31-100−232333−3−3000000000003i−3i−i3i300000000000000000000000
χ614-4-444400-4-44-44-44-44-40000000000000000000000022−22000000000000000000022−2200000000000
χ624-4-444400-4-44-44-44-44-400000000000000000000000−22220000000000000000000−222200000000000
χ634-4-44-24002-4-2-442-22-22000000000006−6006−66−6000022−2223−2300000000000000000−2200000000000
χ644-4-44-24002-4-2-442-22-22000000000006−6006−66−60000−2222−2323000000000000000002−200000000000
χ654-4-44-24002-4-2-442-22-2200000000000−6600−66−66000022−22−232300000000000000000−2200000000000
χ664-4-44-24002-4-2-442-22-2200000000000−6600−66−660000−222223−23000000000000000002−200000000000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-88-4008-4-844-8-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4800-484-8-84-4-444000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4-400-4-4444422-2-200000000000000032−32−323200000000000000000000000000000000000000
χ7188-8-8-4-400-4-4444422-2-2000000000000000−323232−3200000000000000000000000000000000000000
χ728-88-8-4-48-8444-44-42-2-224-44-400000-220000000000000000000000000000000000000000000000
χ738-8-888-400-8484-4-8-44-44000000000000000000000000000000000000000000000000000000000
χ748-8-88-4-40044-44-442-22-20000000000026−2600−66−6600000000000000000000000000000000000000
χ758-8-88-4-40044-44-442-22-200000000000−2626006−66−600000000000000000000000000000000000000

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