Finite Group Databasebeta

← Group #11878523

Character table — Group #11878523

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order122233446666663666121212124481212121224242424242424242244668812121212121212244468121212122424242424886121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-111111111111-111-1-1-1111-111-1-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-111111111-1-1111-1-1-11-1-111-1-1-1-11-11-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1-11-111-11111-1-1-1-111-1-1-1-111-1
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-11-111-1-11-1-111-1-111-1-1-11111-1-1-111-1-1111-1-1-11
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-11-1-1111-1-111-1-1-1-1111-1-1-1-1111-1-1-1-111-111-11
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11-11-1-11-1-1-1-1111111-1-111-11-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1111111-1-1-111-1-1111-11-11-11-1-11-1-1-1-111-1-111-1-11
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-111-1-1-111-1-111-1-111-111-1-1-1-1-111-1-111-1111-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-11-1-111-111-1-11111-1-11-1-111111-1-1-1-1111-1-11-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111-11-11-11-111-1111111-1-1-1-11-11
χ131111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1
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
χ161111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-222000000000000020-200-20000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-22220000000000000-20-200200002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2-2-2000000000000020200-200002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222-2-20000000000000-2020020000-220000000
χ2122222-1222-1-122-1-1-1-1-1-122-122222-1-122-1-1-1-1-1-102020000-1-12-1-1-1-12002-12000-100-1-10000-10-100
χ2222222-1222-1-122-1-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-20000-1-12-1-1-1-1-200-21-200010011000010100
χ2322222-1222-1-122-1-1-1-1-1-122-12-2-222-1-1-2-211111102020000-11-2-1-111-2002-1-2000-10011000010-100
χ2422222-1222-1-122-1-1-1-1-1-122-12-2-222-1-1-2-21111110-20-20000-11-2-1-111200-212000100-1-10000-10100
χ2522222-1222-1-122-1-1-1-1-1-122-1-22-2-2-2-1-1-2-2111111020200001-1211-1-1200-2-1-2000-100110000-10100
χ2622222-1222-1-122-1-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110-20-200001-1211-1-1-200212000100-1-1000010-100
χ2722222-1222-1-122-1-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10202000011-21111-200-2-12000-100-1-1000010100
χ2822222-1222-1-122-1-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10-20-2000011-2111120021-2000100110000-10-100
χ292222-1222-122-1-12-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-12020-1-12222-1-1-1-1-1022000-1-1-10-1-10000000-1000
χ302222-1222-122-1-12-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-20-2011-2-222-1-1-1-1-10-2-200011101100000001000
χ312222-1222-122-1-12-1-1-1-12-1-122-2-2-1-1-1-111-2-211112020-1-1-2-22-21-1-11102-2000-1-1-101100000001000
χ322222-1222-122-1-12-1-1-1-12-1-122-2-2-1-1-1-111-2-21111-20-2011222-21-1-1110-220001110-1-10000000-1000
χ332222-1222-122-1-12-1-1-1-12-1-12-22-211-1-111-2-211112020-1-1-2-2-22-111-1-10-22000-1110110000000-1000
χ342222-1222-122-1-12-1-1-1-12-1-12-22-211-1-111-2-21111-20-201122-22-111-1-102-20001-1-10-1-100000001000
χ352222-1222-122-1-12-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-12020-1-122-2-2111110-2-2000-1110-1-100000001000
χ362222-1222-122-1-12-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1-20-2011-2-2-2-2111110220001-1-10110000000-1000
χ3744444-2-4-44-2-244-2-2-2-2-22-4-42000002200000000040-4000000000000000-2000020000000000000
χ3844444-2-4-44-2-244-2-2-2-2-22-4-420000022000000000-40400000000000000020000-20000000000000
χ394444-24-4-4-244-2-24-2-2-2-2-422-400000220000000040-40-2-200000000000000020000000000000000
χ404444-24-4-4-244-2-24-2-2-2-2-422-4000002200000000-404022000000000000000-20000000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-2111100000000-2-2-2111100000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-4-2-2112222-1-1-1-100000000-22211-1-100000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-422112222-1-1-1-1000000002-2-2-1-11100000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-2111100000000222-1-1-1-100000000000000000000000
χ4544-4-4440044-4-4-4-444-4-4000000000000000000000000022−220000000000000000022−2200000000000
χ4644-4-4440044-4-4-4-444-4-40000000000000000000000000−222200000000000000000−222200000000000
χ4744-4-4-2400-24-422-4-2-22200000000000i6−i600i6i6−i6−i60000−2i32i322−2200000000000000000−2200000000000
χ4844-4-4-2400-24-422-4-2-22200000000000i6−i600i6i6−i6−i600002i3−2i3−2222000000000000000002−200000000000
χ4944-4-4-2400-24-422-4-2-22200000000000−i6i600−i6−i6i6i60000−2i32i3−2222000000000000000002−200000000000
χ5044-4-4-2400-24-422-4-2-22200000000000−i6i600−i6−i6i6i600002i3−2i322−2200000000000000000−2200000000000
χ514-44-44400-4-444-4-44-4-440000000000000000000000000000000000000000000000000022−2200000
χ524-44-44400-4-444-4-44-4-4400000000000000000000000000000000000000000000000000−222200000
χ534-4-44444-4-4-4-4-4444-44-4-44-4400000-440000000000000000000000000000000000000000000000
χ544-4-4444-44-4-4-4-4444-44-44-44-4000004-40000000000000000000000000000000000000000000000
χ554-4-444-24-4-422-44-2-22-2224-4-2000002-200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000
χ564-4-444-24-4-422-44-2-22-2224-4-2000002-2002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000
χ574-4-444-2-44-422-44-2-22-22-2-44200000-220000000000000000000000000000000000023−23000000000
χ584-4-444-2-44-422-44-2-22-22-2-44200000-2200000000000000000000000000000000000−2323000000000
χ594-4-44-244-42-4-42-24-22-22-4-22400023−232-2000000000000000000023−230000000000000000000000000
χ604-4-44-244-42-4-42-24-22-22-4-224000−23232-20000000000000000000−23230000000000000000000000000
χ614-4-44-24-442-4-42-24-22-2242-2-400000-2200000000000000000000000000000023−2300000000000000
χ624-4-44-24-442-4-42-24-22-2242-2-400000-22000000000000000000000000000000−232300000000000000
χ634-4-44-2-24-42222-2-21-11-12-22-200023−23-1100−2i32i3i3−i3i3−i300000000000−333i−3i00000000000000000000000
χ644-4-44-2-24-42222-2-21-11-12-22-200023−23-11002i3−2i3−i3i3−i3i300000000000−33−3i3i00000000000000000000000
χ654-4-44-2-24-42222-2-21-11-12-22-2000−2323-1100−2i32i3i3−i3i3−i3000000000003−3−3i3i00000000000000000000000
χ664-4-44-2-24-42222-2-21-11-12-22-2000−2323-11002i3−2i3−i3i3−i3i3000000000003−33i−3i00000000000000000000000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-88-4008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-400-4-4444422-2-2000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000
χ7088-8-8-4-400-4-4444422-2-200000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000
χ718-88-88-400-84-48-84-444-4000000000000000000000000000000000000000000000000000000000
χ728-88-8-48004-88-44-8-444-4000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-40044-4-4442-2-2200000000000000032−32−323200000000000000000000000000000000000000
χ748-88-8-4-40044-4-4442-2-22000000000000000−323232−3200000000000000000000000000000000000000
χ758-8-88-4-4-884444-4-42-22-2-44-44000002-20000000000000000000000000000000000000000000000

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