Finite Group Databasebeta

← Group #11889423

Character table — Group #11889423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order12223344666666366688121212124412121212121224242424242424242444444466121212121212121222448812121212121224242424488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1111-111-1-1111111-1-11-11-1-1-1-111111-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111-1111-1-1-11-1-111111111-1-1-11-11111-1-1-1-1-111-1-1-1-11-1-1
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
χ5111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1-111-1-1-1-1-1-1-1-1-1-1-111-111-11-1-111-1-1-1-1-1-1111
χ6111111111111111111111111-1-1-1-1-1-111111111111-1-111-1-111111-1-1-1-1-1-111-1-111-1-111-1-11111111-1-1-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-111111-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-1-11-1111-1-111-1-1-1-1-1-1-1-11-1-11-1-11-111-1-111-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-111111-1-111111-1111-1-1111-1-1-11111-1-1-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1-1-1111-1-1-1-111-11-1-1-11-1-1-1-111-11111-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1111-1111-1-111-1111-1-1-1-1-1-11-1111-11111-1-1-111-1-1-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111-1111-1-1-1-11111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1111-1111-111-1-11-1-1-111-1-1-1-1-1111-1111-1-111-111-1-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-11-1-11111111111-1-1-11111-11-1-1-1-11111-1-1-1-11-1-1-11-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1-111111-11111-1-1-1-111111-1-11-1-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111-1-1-111-1-1111-1-1-11-1-1-111-1-1-111111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-2000000002002-200-222-2-2000000220000002-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000200-2-20022222000000-2-2000000-2-20000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-200000000-2002200-2-2-2-2-2000000-2-2000000220000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-200000000-200-22002-2-22200000022000000-22000000-2000000
χ2122222-122-12-122-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-120002220-1-1002-1-1-1-1-1002020000-1-1-1-1-100000-1000
χ2222222-122-12-122-1-1-1-1-1222-1-122222-1-1-1-1-1-122-1-1-1-1-2000-2-2-2011002-1-1-1-1-100-20-2000011111000001000
χ2322222-122-12-122-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-120002-2-20-1-100-21111100-2020000-111-1-1000001000
χ2422222-122-12-122-1-1-1-1-1222-1-12-2-2-2-211-1-1-1-122-1-1-1-1-2000-22201100-2111110020-200001-1-11100000-1000
χ2522222-122-12-122-1-1-1-1-1-2-22-1-122-22211-1-111-2-2111120002-2-20-1-100-2-1-1-1110020-20000-1111100000-1000
χ2622222-122-12-122-1-1-1-1-1-2-22-1-122-22211-1-111-2-21111-2000-22201100-2-1-1-11100-20200001-1-1-1-1000001000
χ2722222-122-12-122-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-2111120002220-1-1002111-1-100-20-20000-1-1-111000001000
χ2822222-122-12-122-1-1-1-1-1-2-22-1-12-22-2-2-1-1-1-111-2-21111-2000-2-2-2011002111-1-1002020000111-1-100000-1000
χ292222-12222-12-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-10222000200-1-1-12-1-1-1-1000202-1-1-100000-1-10000-100
χ302222-12222-12-1-12-1-1-1-122-122-122-1-122-1-122-1-1-1-1-1-10-2-2-2000-20011-12-1-1-1-1000-20-211100000110000100
χ312222-12222-12-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-1022-2000-200111-2111100020-2-1-1100000110000-100
χ322222-12222-12-1-12-1-1-1-122-122-1-2-211-2-2-1-122-1-1-1-1-1-10-2-22000200-1-11-21111000-20211-100000-1-10000100
χ332222-12222-12-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-21111110222000200-1-112-1-111000-20-2-1-1-100000110000100
χ342222-12222-12-1-12-1-1-1-1-2-2-122-12-2-1-1-2-2-1-1-2-21111110-2-2-2000-2001112-1-11100020211100000-1-10000-100
χ352222-12222-12-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-2111111022-2000-20011-1-211-1-1000-202-1-1100000-1-10000100
χ362222-12222-12-1-12-1-1-1-1-2-2-122-1-221122-1-1-2-21111110-2-22000200-1-1-1-211-1-100020-211-100000110000-100
χ372-22-2222-2-2-2-2-2222-2-22002-22-20000002-20000000002i−2i002-2000000000000000002i−2i002-2000002i−2i0000
χ382-22-2222-2-2-2-2-2222-2-22002-22-20000002-20000000002i−2i00-22000000000000000002i−2i00-2200000−2i2i0000
χ392-22-2222-2-2-2-2-2222-2-22002-22-20000002-2000000000−2i2i002-200000000000000000−2i2i002-200000−2i2i0000
χ402-22-2222-2-2-2-2-2222-2-22002-22-20000002-2000000000−2i2i00-2200000000000000000−2i2i00-22000002i−2i0000
χ4144444-2-4-4-24-244-2-2-2-2-200-422-400000022000000004000-4000-2-20000000000000000020000000000000
χ4244444-2-4-4-24-244-2-2-2-2-200-422-40000002200000000-400040002200000000000000000-20000000000000
χ434444-24-4-44-24-2-24-2-2-2-2002-4-4200000022000000000004000-4002200000000000000-200000000000000
χ444444-24-4-44-24-2-24-2-2-2-2002-4-420000002200000000000-4000400-2-200000000000000200000000000000
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
χ4944-4-44400-4-444-4-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5044-4-44400-4-444-4-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ514-44-444-44-4-4-4-4444-4-4400-44-44000000-440000000000000000000000000000000000000000000000000
χ524-44-44-24-42-42-44-2-222-20042-2-4000000-2200000000000004-4000000000000000000000-2200000000000
χ534-44-44-24-42-42-44-2-222-20042-2-4000000-220000000000000-440000000000000000000002-200000000000
χ544-44-44-2-442-42-44-2-222-200-4-2240000−2i32i32-2000000000000000000000000−2i32i300000000000000000000000
χ554-44-44-2-442-42-44-2-222-200-4-22400002i3−2i32-20000000000000000000000002i3−2i300000000000000000000000
χ564-44-4-244-4-42-42-24-222-200-2-442000000-220000000004i−4i000000000000000000000−2i2i000000000000000
χ574-44-4-244-4-42-42-24-222-200-2-442000000-22000000000−4i4i0000000000000000000002i−2i000000000000000
χ584-44-4-24-44-42-42-24-222-20024-4-200−2i32i3002-20000000000000000000000−2i32i30000000000000000000000000
χ594-44-4-24-44-42-42-24-222-20024-4-2002i3−2i3002-200000000000000000000002i3−2i30000000000000000000000000
χ604-44-4-2-2-442222-2-21-1-11002-22-200−2i32i3−2i32i3-11000033-3-300000000000000i3−i3i3−i300000000000000000000000
χ614-44-4-2-2-442222-2-21-1-11002-22-200−2i32i32i3−2i3-110000-3-33300000000000000i3−i3−i3i300000000000000000000000
χ624-44-4-2-2-442222-2-21-1-11002-22-2002i3−2i3−2i32i3-110000-3-33300000000000000−i3i3i3−i300000000000000000000000
χ634-44-4-2-2-442222-2-21-1-11002-22-2002i3−2i32i3−2i3-11000033-3-300000000000000−i3i3−i3i300000000000000000000000
χ644-4-44440044-4-4-4-44-44-422−2200000000000022−2222−2222−2222−2200000000000000000000000000000000000000000
χ654-4-44440044-4-4-4-44-44-4−2222000000000000−2222−2222−2222−222200000000000000000000000000000000000000000
χ664-4-444-200-242-4-42-22-2222−22000000000000−2222−22−22−2200000000−2i32i300000000000000000000i6−i6000000000
χ674-4-444-200-242-4-42-22-2222−22000000000000−2222−22−22−22000000002i3−2i300000000000000000000−i6i6000000000
χ684-4-444-200-242-4-42-22-22−22220000000000002−2−22222−22−200000000−2i32i300000000000000000000−i6i6000000000
χ694-4-444-200-242-4-42-22-22−22220000000000002−2−22222−22−2000000002i3−2i300000000000000000000i6−i6000000000
χ704-4-44-24004-2-422-4-22-2222−2200000000000022−22−22−22−220000000000−2i32i300000000000000000000i6−i60000000
χ714-4-44-24004-2-422-4-22-2222−2200000000000022−22−22−22−2200000000002i3−2i300000000000000000000−i6i60000000
χ724-4-44-24004-2-422-4-22-22−2222000000000000−22222−22−22−20000000000−2i32i300000000000000000000−i6i60000000
χ734-4-44-24004-2-422-4-22-22−2222000000000000−22222−22−22−200000000002i3−2i300000000000000000000i6−i60000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-88-4004-8-48-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4800-848-44-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-40044-4-44422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ7888-8-8-4-40044-4-44422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000
χ798-88-8-4-48-84444-4-42-2-2200-44-440000002-20000000000000000000000000000000000000000000000000
χ808-8-88-4-400-4-444442-22-242−42000000000000−2222−22222−22−200000000000000000000000000000000000000000
χ818-8-88-4-400-4-444442-22-2−424200000000000022−2222−22−22−2200000000000000000000000000000000000000000

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