Finite Group Databasebeta

← Group #11889731

Character table — Group #11889731

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242422244444121212121212121212122224666881212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-1-1-111111111-1-1-111111-1-1-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-11-111111-1-1111111-1-11-1-1-1-1-11111-1-111-1-1-11-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111
χ5111111111111111111111111-1-1-1-1-1-1111111111111-11-11-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1-1-1-1111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-11-111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11111-1-1-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-11-111111-1-1-1111-1-1-1-1-1-111-11-111111-1-1-111-1-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1111-111-111-1-1-111111-1-11-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-11-1-11-1-1111-1-1-1-11-1-1-11-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-111-1111-1-1-1-111-1-11-11-1-1-1-1-111-111111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111111-1-111111-1-1-111111-1111-1-11-1-1-1-1-1-11-1-11-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-11-111-1-1111-1-1-111-1-1-1-1111-11-111-1-111-111-1-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-11-1-1-111-1-111-1-1-11-11-1-111-1-1-11111-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-11111-11-1-1-111-11111111-1-1-111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000000022-2-20022-2-2000000220000200-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-2-2200-2-2-2-2000000-2-2000020020000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-222-2002222000000-2-20000-200-20000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-22200-2-222000000220000-2002000000-2000000
χ2122222-122-122-1-12-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-12220200000-1-12-1-1-1-1-10002-1-1-120000-1-1000000-100
χ2222222-122-122-1-12-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-1-2-2-20-200000112-1-1-1-1-1000-2111-2000011000000100
χ2322222-122-122-1-12-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-122-20-20000011-2111110002-1-11-2000011000000-100
χ2422222-122-122-1-12-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-1-2-220200000-1-1-211111000-211-120000-1-1000000100
χ2522222-122-122-1-12-1-1-1-1-2-22-1-122-22211-1-111-2-2111122-20-20000011-2-1-1-111000-2-1-1120000-1-1000000100
χ2622222-122-122-1-12-1-1-1-1-2-22-1-122-22211-1-111-2-21111-2-220200000-1-1-2-1-1-111000211-1-2000011000000-100
χ2722222-122-122-1-12-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-211112220200000-1-12111-1-1000-2-1-1-1-2000011000000100
χ2822222-122-122-1-12-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-21111-2-2-20-200000112111-1-1000211120000-1-1000000-100
χ292222-12222-1-122-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-100020222-1-100-12-1-1-1-1002000002-1-1-100-1-1000-1000
χ302222-12222-1-122-1-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-1000-20-2-2-21100-12-1-1-1-100-200000-211100110001000
χ312222-12222-1-122-1-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1000202-2-2-1-1001-2111100-2000002-11100-1-10001000
χ322222-12222-1-122-1-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1000-20-22211001-2111100200000-21-1-10011000-1000
χ332222-12222-1-122-1-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-211111100020222-1-10012-1-11100-200000-2-1-1-100110001000
χ342222-12222-1-122-1-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-2111111000-20-2-2-2110012-1-11100200000211100-1-1000-1000
χ352222-12222-1-122-1-1-1-1-1-2-2-122-1-221122-1-1-2-2111111000202-2-2-1-100-1-211-1-100200000-2-1110011000-1000
χ362222-12222-1-122-1-1-1-1-1-2-2-122-1-221122-1-1-2-2111111000-20-2221100-1-211-1-100-20000021-1-100-1-10001000
χ372-22-2222-2-2-22-22-22-2-22002-22-20000002-2000000002-200002i−2i000000000000002-200002i−2i000002i−2i0000
χ382-22-2222-2-2-22-22-22-2-22002-22-20000002-2000000002-20000−2i2i000000000000002-20000−2i2i00000−2i2i0000
χ392-22-2222-2-2-22-22-22-2-22002-22-20000002-200000000-2200002i−2i00000000000000-2200002i−2i00000−2i2i0000
χ402-22-2222-2-2-22-22-22-2-22002-22-20000002-200000000-220000−2i2i00000000000000-220000−2i2i000002i−2i0000
χ4144444-2-4-4-244-2-24-2-2-2-200-422-400000022000000000040-40000022000000000000-20000000000000000
χ4244444-2-4-4-244-2-24-2-2-2-200-422-4000000220000000000-40400000-2-200000000000020000000000000000
χ434444-24-4-44-2-244-2-2-2-2-2002-4-42000000220000000000040-400-2-20000000000000000020000000000000
χ444444-24-4-44-2-244-2-2-2-2-2002-4-420000002200000000000-404002200000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-2111144-2-2-2-244-2-2-2-211-2-2-2-21111000000000000-2-2111100000000000000000000000
χ464444-2-244-2-2-2-2-2-2111144-2-2-2-2-4-4222211-2-2-2-2111100000000000022-1-1-1-100000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-10000000000002-211-1-100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-1000000000000-22-1-11100000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ514-44-444-44-4-44-44-44-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ524-44-44-24-42-442-2-4-222-20042-2-4000000-22000000004-400000000000000000000-2200000000000000000
χ534-44-44-24-42-442-2-4-222-20042-2-4000000-2200000000-44000000000000000000002-200000000000000000
χ544-44-44-2-442-442-2-4-222-200-4-2240000−2i32i32-2000000000000000000000000−2i32i300000000000000000000000
χ554-44-44-2-442-442-2-4-222-200-4-22400002i3−2i32-20000000000000000000000002i3−2i300000000000000000000000
χ564-44-4-244-4-42-2-442-222-200-2-442000000-22000000000000004i−4i00000000000000000000−2i2i00000000000
χ574-44-4-244-4-42-2-442-222-200-2-442000000-2200000000000000−4i4i000000000000000000002i−2i00000000000
χ584-44-4-24-44-42-2-442-222-20024-4-200−2i32i3002-20000000000000000000000−2i32i30000000000000000000000000
χ594-44-4-24-44-42-2-442-222-20024-4-2002i3−2i3002-200000000000000000000002i3−2i30000000000000000000000000
χ604-44-4-2-2-4422-22-221-1-11002-22-200−2i32i3−2i32i3-11000033-3-300000000000000i3−i3i3−i300000000000000000000000
χ614-44-4-2-2-4422-22-221-1-11002-22-200−2i32i32i3−2i3-110000-3-33300000000000000i3−i3−i3i300000000000000000000000
χ624-44-4-2-2-4422-22-221-1-11002-22-2002i3−2i3−2i32i3-110000-3-33300000000000000−i3i3i3−i300000000000000000000000
χ634-44-4-2-2-4422-22-221-1-11002-22-2002i3−2i32i3−2i3-11000033-3-300000000000000−i3i3−i3i300000000000000000000000
χ644-4-444400-4-4-44-444-44-422−2200000000000022−2222−2222−2222−2200000000000000000000000000000000000000000
χ654-4-444400-4-4-44-444-44-4−2222000000000000−2222−2222−2222−222200000000000000000000000000000000000000000
χ664-4-444-2002-4-4-224-22-2222−22000000000000−2222−22−22−22000000000023−230000000000000000006−6000000000
χ674-4-444-2002-4-4-224-22-2222−22000000000000−2222−22−22−220000000000−2323000000000000000000−66000000000
χ684-4-444-2002-4-4-224-22-22−22220000000000002−2−22222−22−2000000000023−23000000000000000000−66000000000
χ694-4-444-2002-4-4-224-22-22−22220000000000002−2−22222−22−20000000000−23230000000000000000006−6000000000
χ704-4-44-2400-4224-4-2-22-2222−2200000000000022−22−22−22−220000000023−2300000000000000000000006−60000000
χ714-4-44-2400-4224-4-2-22-2222−2200000000000022−22−22−22−2200000000−23230000000000000000000000−660000000
χ724-4-44-2400-4224-4-2-22-22−2222000000000000−22222−22−22−20000000023−230000000000000000000000−660000000
χ734-4-44-2400-4224-4-2-22-22−2222000000000000−22222−22−22−200000000−232300000000000000000000006−60000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-88-400-48-844-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-48008-44-8-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ7888-8-8-4-400-4-4444422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000
χ798-88-8-4-48-844-44-442-2-2200-44-440000002-20000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-44-42-22-242−42000000000000−2222−22222−22−200000000000000000000000000000000000000000
χ818-8-88-4-400444-44-42-22-2−424200000000000022−2222−22−22−2200000000000000000000000000000000000000000

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