Finite Group Databasebeta

← Group #11878592

Character table — Group #11878592

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order12223344666666366612121212226681212242424242424242422448812126666666444466812121224242424248812121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-1111111111111-1-111-1-1-11111-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-11111111-111-1-1111-1-1-1-111-1-1-1-1-111-1-1
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
χ511111111111111111111111-111-111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-1-1-11111-1111-1-1-1-111-1-1-11-11-1
χ611111111111111111111111-111-111-1-1-1-1-1-1-1-11-11-1-1-1111-1-111-1-1-11-111-11-111-1-111-1-111-1-11-11
χ711111111111111111111111-111-111-1-1-1-1-1-1-1-1-11-1111-1-11-1-111-1-11-11-1-11-11-1-111-1-1-1-11111-1-11
χ811111111111111111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-111-1-1-1-11-1-1-1111111-1-11-111-1
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-111-1-11111-1-111-11-1-1-1-1-1-111-1-11-11-11
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-111-1-1111-11-11-11-1-1-1-1-111-1-11111-11-1
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-111-11-11-11-111111-1-1-1-111-1-111-1
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-111-1-111-1-11-111111111-1-1-11-1-11
χ131111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1
χ141111111111111111111111-1-1-1-1111111111111-11-11111-1-1-1-1-1-1-1-111-11-1-1-1-1-111-1-1-1-1-1-1-11111
χ151111111111111111111111-1-1-1-111111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-1-11-111111-1-111-1-1-1-11-1-111
χ161111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-200-2-200000000000220-2000000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-2200-2-2000000000002-2020000002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2002200000000000-220-20000002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222002200000000000-2-202000000-220000000
χ2122222-1222-12-1-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-102020000-12-1-1-1-1-102200-12-10000-1-100000-1-100
χ2222222-1222-12-1-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-20000-12-1-1-1-1-10-2-2001-21000011000001100
χ2322222-1222-12-1-12-1-1-1-1-122-12-222-2-1-1-2-211111102020000-1-21-1-1110-2200-1-2-100001100000-1100
χ2422222-1222-12-1-12-1-1-1-1-122-12-222-2-1-1-2-21111110-20-20000-1-21-1-11102-2001210000-1-1000001-100
χ2522222-1222-12-1-12-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110202000012-111-1-102-200-1-2-1000011000001-100
χ2622222-1222-12-1-12-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110-20-2000012-111-1-10-22001210000-1-100000-1100
χ2722222-1222-12-1-12-1-1-1-1-122-1-2-2-2-22-1-122-1-1-1-1-1-1020200001-2111110-2-200-12-10000-1-1000001100
χ2822222-1222-12-1-12-1-1-1-1-122-1-2-2-2-22-1-122-1-1-1-1-1-10-20-200001-211111022001-2100001100000-1-100
χ292222-1222-12-122-1-1-1-1-12-1-1222-1-12-1-1-1-122-1-1-1-1202022-1-12-12-1-1-1-12002-1000-1-1-1-1000000-10000
χ302222-1222-12-122-1-1-1-1-12-1-1222-1-12-1-1-1-122-1-1-1-1-20-20-2-2112-12-1-1-1-1-200-21000111100000010000
χ312222-1222-12-122-1-1-1-1-12-1-122-2-1-1-2-1-111-2-211112020-2-2-1-121-2-1-111-2002-1000-1-11100000010000
χ322222-1222-12-122-1-1-1-1-12-1-122-2-1-1-2-1-111-2-21111-20-20221121-2-1-111200-2100011-1-1000000-10000
χ332222-1222-12-122-1-1-1-1-12-1-12-2211-2-1-111-2-211112020-2-2-1-1-2-1211-1-1200-2-10001111000000-10000
χ342222-1222-12-122-1-1-1-1-12-1-12-2211-2-1-111-2-21111-20-202211-2-1211-1-1-20021000-1-1-1-100000010000
χ352222-1222-12-122-1-1-1-1-12-1-12-2-2112-1-1-1-122-1-1-1-1202022-1-1-21-21111-200-2-100011-1-100000010000
χ362222-1222-12-122-1-1-1-1-12-1-12-2-2112-1-1-1-122-1-1-1-1-20-20-2-211-21-2111120021000-1-111000000-10000
χ3744444-2-4-44-24-2-24-2-2-2-22-4-42000002200000000040-40000000000000000-202000000000000000
χ3844444-2-4-44-24-2-24-2-2-2-22-4-420000022000000000-404000000000000000020-2000000000000000
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
χ414444-2-244-2-2-2-2-2-21111-2-2-2-244-2-2411-2-2-2-2111100000000-2-2-2111100000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-2-2-4112222-1-1-1-100000000-22211-1-100000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-4422-4112222-1-1-1-1000000002-2-2-1-11100000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-422411-2-2-2-2111100000000222-1-1-1-100000000000000000000000
χ4544-4-44400-4-444-4-444-4-400000000000000000000000000000000000000000000000000−2i22i200000
χ4644-4-44400-4-444-4-444-4-4000000000000000000000000000000000000000000000000002i2−2i200000
χ474-44-444004-4-4-44-44-44-400000000000000000000000−2i22i20000000000000000000−2i22i200000000000
χ484-44-444004-4-4-44-44-44-4000000000000000000000002i2−2i200000000000000000002i2−2i200000000000
χ494-44-4-2400-2-42-442-22-2200000000000i6−i600i6i6−i6−i60000−2i22i223−2300000000000000000i2−i200000000000
χ504-44-4-2400-2-42-442-22-2200000000000i6−i600i6i6−i6−i600002i2−2i2−232300000000000000000−i2i200000000000
χ514-44-4-2400-2-42-442-22-2200000000000−i6i600−i6−i6i6i60000−2i22i2−232300000000000000000i2−i200000000000
χ524-44-4-2400-2-42-442-22-2200000000000−i6i600−i6−i6i6i600002i2−2i223−2300000000000000000−i2i200000000000
χ534-4-44444-4-44-4-4-444-4-44-44-4400000-440000000000000000000000000000000000000000000000
χ544-4-4444-44-44-4-4-444-4-444-44-4000004-40000000000000000000000000000000000000000000000
χ554-4-444-24-4-4-2-4224-222-224-4-2000002-200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000
χ564-4-444-24-4-4-2-4224-222-224-4-2000002-2002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000
χ574-4-444-2-44-4-2-4224-222-2-2-44200000-220000000000000000000000000000000000023−23000000000
χ584-4-444-2-44-4-2-4224-222-2-2-44200000-2200000000000000000000000000000000000−2323000000000
χ594-4-44-244-4242-4-4-2-222-2-4-22400−2i32i302-20000000000000000000−2i32i30000000000000000000000000
χ604-4-44-244-4242-4-4-2-222-2-4-224002i3−2i302-200000000000000000002i3−2i30000000000000000000000000
χ614-4-44-24-44242-4-4-2-222-242-2-400000-220000000000000000000000000000000−2i32i30000000000000
χ624-4-44-24-44242-4-4-2-222-242-2-400000-2200000000000000000000000000000002i3−2i30000000000000
χ634-4-44-2-24-42-2222-21-1-112-22-200−2i32i30-1100−2i32i3i3−i3i3−i300000000000i3−i33-300000000000000000000000
χ644-4-44-2-24-42-2222-21-1-112-22-200−2i32i30-11002i3−2i3−i3i3−i3i300000000000i3−i3-3300000000000000000000000
χ654-4-44-2-24-42-2222-21-1-112-22-2002i3−2i30-1100−2i32i3i3−i3i3−i300000000000−i3i3-3300000000000000000000000
χ664-4-44-2-24-42-2222-21-1-112-22-2002i3−2i30-11002i3−2i3−i3i3−i3i300000000000−i3i33-300000000000000000000000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-88-400-848-44-8-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-48004-8-48-84-4-444000000000000000000000000000000000000000000000000000000000
χ7088-8-8-4-40044-4-44422-2-200000000000000032−32−323200000000000000000000000000000000000000
χ7188-8-8-4-40044-4-44422-2-2000000000000000−323232−3200000000000000000000000000000000000000
χ728-88-88-40084-84-4-8-44-44000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400-4444-442-22-2000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000
χ748-88-8-4-400-4444-442-22-200000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000
χ758-8-88-4-4-884-4444-42-2-22-44-44000002-20000000000000000000000000000000000000000000000

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