Finite Group Databasebeta

← Group #11878619

Character table — Group #11878619

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order122233446666663666121212124481212121224242424242424242244881212121212121212122444666681224242424248812121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-11111111111111-1-1-1111-1-111-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-11111111-1-1111-1-1-111-1-111-1-1-1-1-111-1-1
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
χ511111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1111-1-111-1-11-1-111111-11-1-1-1-111-1-1-11-1-11
χ611111111111111111111111-1-11111-1-1-1-1-1-1-1-11-11-1-1-1111-1-111-1-11-11-1-11111-1-1-111-1-111-1-111-1
χ711111111111111111111111-1-11111-1-1-1-1-1-1-1-1-11-1111-1-11-1-111-1-1-11-111-1-1-1-1111-1-1-1-11111-11-1
χ811111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-111-1-1-1-1-11-1111111-1-11-11-11
χ91111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11111-1-111-111-1-111-111-111-1-1-11-1-1-1-111-1-11-111-1
χ101111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-11-11-1-1-111-111-1-111-11-11-11-1-11-1-1-111-1-11111-1-11
χ111111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-1-111-1-1111-11-11-111-1111-1-1-1-111-1-11-11
χ121111111111111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1111-1-11-1-1111-1111111-1-1-11-11-1
χ131111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1
χ141111111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-111-11-1-1-1-111-1-1-1-1-1-1-11111
χ151111111111111111111111-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-111-1-11-11111-1-111-1-1-1-11-1-111
χ161111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-200-2-20000000000022000-20000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-2200-2-200000000000-22000200002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-20022000000000002-2000-200002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222002200000000000-2-200020000-220000000
χ2122222-122-122-12-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1202022-1-122-1-1-1-1-122000-1-1-100-1-1000000-10000
χ2222222-122-122-12-1-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-2-21122-1-1-1-1-1-2-2000111001100000010000
χ2322222-122-122-12-1-1-1-1-12-1-122-2-2-1-1-1-111-2-211112020-2-2-1-12-21-1-1112-2000-1-1-1001100000010000
χ2422222-122-122-12-1-1-1-1-12-1-122-2-2-1-1-1-111-2-21111-20-2022112-21-1-111-2200011100-1-1000000-10000
χ2522222-122-122-12-1-1-1-1-12-1-12-22-211-1-111-2-211112020-2-2-1-1-22-111-1-1-22000-1110011000000-10000
χ2622222-122-122-12-1-1-1-1-12-1-12-22-211-1-111-2-21111-20-202211-22-111-1-12-20001-1-100-1-100000010000
χ2722222-122-122-12-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1202022-1-1-2-211111-2-2000-11100-1-100000010000
χ2822222-122-122-12-1-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1-20-20-2-211-2-211111220001-1-10011000000-10000
χ292222-12222-1-12-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-102020000-1-12-1-1-1-10022-10002-100-1-100000-1-100
χ302222-12222-1-12-12-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-20000-1-12-1-1-1-100-2-21000-210011000001100
χ312222-12222-1-12-12-1-1-1-1-122-12-2-222-1-1-2-211111102020000-11-2-1-11100-22-1000-2-1001100000-1100
χ322222-12222-1-12-12-1-1-1-1-122-12-2-222-1-1-2-21111110-20-20000-11-2-1-111002-210002100-1-1000001-100
χ332222-12222-1-12-12-1-1-1-1-122-1-22-2-2-2-1-1-2-2111111020200001-1211-1-1002-2-1000-2-10011000001-100
χ342222-12222-1-12-12-1-1-1-1-122-1-22-2-2-2-1-1-2-21111110-20-200001-1211-1-100-2210002100-1-100000-1100
χ352222-12222-1-12-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10202000011-2111100-2-2-10002-100-1-1000001100
χ362222-12222-1-12-12-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10-20-2000011-2111100221000-21001100000-1-100
χ3744444-2-4-4-244-24-2-2-2-2-2-422-400000220000000040-400022000000000000-200000000000000000
χ3844444-2-4-4-244-24-2-2-2-2-2-422-4000002200000000-404000-2-2000000000000200000000000000000
χ394444-24-4-44-2-24-24-2-2-2-22-4-42000002200000000040-4000000000000000-2000020000000000000
χ404444-24-4-44-2-24-24-2-2-2-22-4-420000022000000000-40400000000000000020000-20000000000000
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
χ4544-4-44400-44-44-4-444-4-400000000000000000000000−2i22i20000000000000000000−2i22i200000000000
χ4644-4-44400-44-44-4-444-4-4000000000000000000000002i2−2i200000000000000000002i2−2i200000000000
χ4744-4-44-20024-4-2-42-2-22200000000000i6−i600i6i6−i6−i60000−2i22i223−2300000000000000000i2−i200000000000
χ4844-4-44-20024-4-2-42-2-22200000000000i6−i600i6i6−i6−i600002i2−2i2−232300000000000000000−i2i200000000000
χ4944-4-44-20024-4-2-42-2-22200000000000−i6i600−i6−i6i6i60000−2i22i2−232300000000000000000i2−i200000000000
χ5044-4-44-20024-4-2-42-2-22200000000000−i6i600−i6−i6i6i600002i2−2i223−2300000000000000000−i2i200000000000
χ514-44-4444-4-4-4-4-4444-4-44-44-4400000-440000000000000000000000000000000000000000000000
χ524-44-444-44-4-4-4-4444-4-444-44-4000004-40000000000000000000000000000000000000000000000
χ534-44-44-24-42-4-424-2-222-2-4-224000−2i32i32-20000000000000000000−2i32i30000000000000000000000000
χ544-44-44-24-42-4-424-2-222-2-4-2240002i3−2i32-200000000000000000002i3−2i30000000000000000000000000
χ554-44-44-2-442-4-424-2-222-242-2-400000-2200000000000000000000000000000−2i32i3000000000000000
χ564-44-44-2-442-4-424-2-222-242-2-400000-22000000000000000000000000000002i3−2i3000000000000000
χ574-44-4-244-4-422-4-24-222-224-4-2000002-200−2i32i3−2i32i3−2i32i300000000000000000000000000000000000000
χ584-44-4-244-4-422-4-24-222-224-4-2000002-2002i3−2i32i3−2i32i3−2i300000000000000000000000000000000000000
χ594-44-4-24-44-422-4-24-222-2-2-44200000-220000000000000000000000000000000000023−23000000000
χ604-44-4-24-44-422-4-24-222-2-2-44200000-2200000000000000000000000000000000000−2323000000000
χ614-44-4-2-24-42222-2-21-1-112-22-2000−2i32i3-1100−2i32i3i3−i3i3−i300000000000i3−i33-300000000000000000000000
χ624-44-4-2-24-42222-2-21-1-112-22-2000−2i32i3-11002i3−2i3−i3i3−i3i300000000000i3−i3-3300000000000000000000000
χ634-44-4-2-24-42222-2-21-1-112-22-20002i3−2i3-1100−2i32i3i3−i3i3−i300000000000−i3i3-3300000000000000000000000
χ644-44-4-2-24-42222-2-21-1-112-22-20002i3−2i3-11002i3−2i3−i3i3−i3i300000000000−i3i33-300000000000000000000000
χ654-4-4444004-44-4-4-44-44-400000000000000000000000000000000000000000000000000−2i22i200000
χ664-4-4444004-44-4-4-44-44-4000000000000000000000000000000000000000000000000002i2−2i200000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-8-4800-8-4484-8-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-4004-44-44422-2-2000000000002i6−2i600−i6−i6i6i600000000000000000000000000000000000000
χ7088-8-8-4-4004-44-44422-2-200000000000−2i62i600i6i6−i6−i600000000000000000000000000000000000000
χ718-88-8-4-4-884444-4-42-2-22-44-44000002-20000000000000000000000000000000000000000000000
χ728-8-888-400-4-884-84-44-44000000000000000000000000000000000000000000000000000000000
χ738-8-88-480084-4-84-8-44-44000000000000000000000000000000000000000000000000000000000
χ748-8-88-4-400-44-44442-22-200000000000000032−32−323200000000000000000000000000000000000000
χ758-8-88-4-400-44-44442-22-2000000000000000−323232−3200000000000000000000000000000000000000

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