Finite Group Databasebeta

← Group #11878586

Character table — Group #11878586

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order12223344666666366612121212248121212122424242424242424224466886666121212244468121212122424242424886121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-111111111111-111-1-1-11-11111-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-111111111-1-1111-11-1-1-1-111-1-1-1-11-11-1-1
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
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1111-111-1-1-1-1-1-111-1-1-1111-1
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-11-11-1-111-1-1-1-1-111-1-11111-1-11
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-11-111-1-111111-1-1-1-111-1-11-11
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1-11-1-111111111-1-11-1-11-1
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111111-1-11-11111-1-1-1-111-1-11-1-1-11
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-11-11-111-1-1-1-1-1-1111-11-11-111-111-1-111-1-111-1-111-1
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-11111-11-11-1-11-1-111-1-1-1-11111-11-1
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-11-1-1-1-1111111-1-1-111-11
χ131111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1
χ141111111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-11-1-11-1-11-1-1-111-1-1-1-1-1-11-1111
χ151111111111111111111111-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-1-111-111-1111-1-111-1-1-1-1-11-111
χ161111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-222000000000000020-2-2000000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-22220000000000000-20-220000002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2-2-20000000000000202-20000002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222-2-20000000000000-2022000000-220000000
χ2122222-122-12-12-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-1020200002-1-1-1-1-1-12002-120-10000-1-10000-10-100
χ2222222-122-12-12-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-200002-1-1-1-1-1-1-200-21-201000011000010100
χ2322222-122-12-12-12-1-1-1-1-122-12-2-2-2-2-1-1-2-2111111020200002-1-1-1111-2002-1-20-1000011000010-100
χ2422222-122-12-12-12-1-1-1-1-122-12-2-2-2-2-1-1-2-21111110-20-200002-1-1-1111200-212010000-1-10000-10100
χ2522222-122-12-12-12-1-1-1-1-122-1-22-222-1-1-2-211111102020000-2111-1-1-1200-2-1-20-10000110000-10100
χ2622222-122-12-12-12-1-1-1-1-122-1-22-222-1-1-2-21111110-20-20000-2111-1-1-1-200212010000-1-1000010-100
χ2722222-122-12-12-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-102020000-2111111-200-2-120-10000-1-1000010100
χ2822222-122-12-12-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10-20-20000-211111120021-2010000110000-10-100
χ292222-12222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-12020-1-122-12-1-12-1-1022000-10-1-1-1-10000000-1000
χ302222-12222-12-12-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-20-2011-2-2-12-1-12-1-10-2-200010111100000001000
χ312222-12222-12-12-1-1-1-1-12-1-122-2-211-1-111-2-211112020-1-1-2-2-12-1-1-2110-22000-1011110000000-1000
χ322222-12222-12-12-1-1-1-1-12-1-122-2-211-1-111-2-21111-20-201122-12-1-1-21102-200010-1-1-1-100000001000
χ332222-12222-12-12-1-1-1-1-12-1-12-22-2-1-1-1-111-2-211112020-1-1-2-21-2112-1-102-2000-10-1-11100000001000
χ342222-12222-12-12-1-1-1-1-12-1-12-22-2-1-1-1-111-2-21111-20-2011221-2112-1-10-220001011-1-10000000-1000
χ352222-12222-12-12-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-12020-1-1221-211-2110-2-2000-1011-1-100000001000
χ362222-12222-12-12-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1-20-2011-2-21-211-21102200010-1-1110000000-1000
χ3744444-2-4-4-24-24-24-2-2-2-22-4-42000002200000000040-4000000000000000-2002000000000000000
χ3844444-2-4-4-24-24-24-2-2-2-22-4-420000022000000000-404000000000000000200-2000000000000000
χ394444-24-4-44-24-24-2-2-2-2-2-422-400000220000000040-40-2-200000000000000020000000000000000
χ404444-24-4-44-24-24-2-2-2-2-2-422-4000002200000000-404022000000000000000-20000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-2111100000000-2-211-21100000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-100000000-2-2112-1-100000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-10000000022-1-1-21100000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-211110000000022-1-12-1-100000000000000000000000
χ4544-4-444004-4-4-4-444-4-4400000000000000000000000000000000000000000000000000−2i22i200000
χ4644-4-444004-4-4-4-444-4-44000000000000000000000000000000000000000000000000002i2−2i200000
χ474-44-44400-4-4-444-444-4-40000000000000000000000000−2i22i200000000000000000−2i22i200000000000
χ484-44-44400-4-4-444-444-4-400000000000000000000000002i2−2i2000000000000000002i2−2i200000000000
χ494-44-4-2400-42-4-242-2-222000000000006−60066−6−60000−2i32i3−2i22i200000000000000000i2−i200000000000
χ504-44-4-2400-42-4-242-2-222000000000006−60066−6−600002i3−2i32i2−2i200000000000000000−i2i200000000000
χ514-44-4-2400-42-4-242-2-22200000000000−6600−6−6660000−2i32i32i2−2i200000000000000000−i2i200000000000
χ524-44-4-2400-42-4-242-2-22200000000000−6600−6−66600002i3−2i3−2i22i200000000000000000i2−i200000000000
χ534-4-44444-4-444-4-4-44-44-4-44-4400000-440000000000000000000000000000000000000000000000
χ544-4-4444-44-444-4-4-44-44-44-44-4000004-40000000000000000000000000000000000000000000000
χ554-4-444-24-424-2-42-4-22-2224-4-2000002-200000000000000000000000000000000000−2i32i3000000000
χ564-4-444-24-424-2-42-4-22-2224-4-2000002-2000000000000000000000000000000000002i3−2i3000000000
χ574-4-444-2-4424-2-42-4-22-22-2-44200000-220023−2323−2323−2300000000000000000000000000000000000000
χ584-4-444-2-4424-2-42-4-22-22-2-44200000-2200−2323−2323−232300000000000000000000000000000000000000
χ594-4-44-244-4-4-242-42-22-22-4-224000002-2000000000000000000000000000000023−230000000000000
χ604-4-44-244-4-4-242-42-22-22-4-224000002-20000000000000000000000000000000−23230000000000000
χ614-4-44-24-44-4-242-42-22-2242-2-400023−23-2200000000000000000000023−2300000000000000000000000
χ624-4-44-24-44-4-242-42-22-2242-2-4000−2323-22000000000000000000000−232300000000000000000000000
χ634-4-44-2-2-442-2-22221-11-1-22-2200023−231-10023−23−33−3300000000003-30−3300000000000000000000000
χ644-4-44-2-2-442-2-22221-11-1-22-2200023−231-100−23233−33−30000000000-330−3300000000000000000000000
χ654-4-44-2-2-442-2-22221-11-1-22-22000−23231-10023−23−33−330000000000-3303−300000000000000000000000
χ664-4-44-2-2-442-2-22221-11-1-22-22000−23231-100−23233−33−300000000003-303−300000000000000000000000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-88-400-4-84-848-444-4000000000000000000000000000000000000000000000000000000000
χ6988-8-8-480084-84-8-4-444-4000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4-400-44444-42-2-2200000000000000032−32−323200000000000000000000000000000000000000
χ7188-8-8-4-400-44444-42-2-22000000000000000−323232−3200000000000000000000000000000000000000
χ728-88-88-4004-848-4-8-4-444000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400444-4-4422-2-20000000000026−2600−6−66600000000000000000000000000000000000000
χ748-88-8-4-400444-4-4422-2-200000000000−26260066−6−600000000000000000000000000000000000000
χ758-8-88-4-48-84-4-44442-22-24-44-400000-220000000000000000000000000000000000000000000000

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