Finite Group Databasebeta

← Group #11896089

Character table — Group #11896089

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size11112222222222444444444488888888888888881212121212121212121212121616161616161818242424242424242424242424242436363648487272
order122233446666663666881212121244121212121212242424242424242444444444121212121212121212124424881212121212122424242448861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-11-1-1-111111111-1-1-111-1-1111-1-111-1-1-1-1-1-11-1-1
χ31111111111111111111111111111111111111111-1-1-1111-1111-1-1111111-1-11-1-111-1-1-111-1-111-1-1-11-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1111111111111-11-1-1-1111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-1-1111
χ6111111111111111111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-111-1-1-1-111111-1-1
χ7111111111111111111111111-1-1-1-1-1-11111111111-1-111-1-1111111-1-1-1-1-1-111-1-1111-1-11-1-11111111-1-1-1-1
χ8111111111111111111111111-1-1-1-1-1-11111111111-1-11-1111-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1-111111-1-1-1-1-11-111
χ9111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-1-111111-1-1-11111-1-1-1-1-1-11-1-11-11-1
χ10111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1111-1111-1-1-1111-1-1-111-1-1-1-1-11-111111-1-111-111-1-1-11
χ11111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-1-1111-1-11-1-1-111-1-1111-11-1-1-1-1-111-1-1-11111-11
χ12111111111111111111-1-111111-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1111-1-1-1-11111111-1-1-111-1
χ13111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1111-1111-1-1-1111-1-1-1-1-1-11-1111-11111-1-1-111-1-11-1
χ14111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111-1-1111-111-111-1-1-111111-1-11-1-11
χ15111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1111-1-111-11-1-11-1-1111-1-1-1-11-1-1-11-11
χ16111111111111111111-1-11111-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-111-1111-1-1-1-111-11-1-1-11-1-1-1-111-111111-1
χ17222222-2-2222222222200-2-2-2-2000000-2-200000000002200-2-222-2-2000000220000-2002000000-2000000
χ18222222-2-2222222222200-2-2-2-2000000-2-200000000002-200-22-2-2-2-2000000-2-2000020020000002000000
χ19222222-2-2222222222200-2-2-2-2000000-2-20000000000-22002-22222000000-2-20000-200-20000002000000
χ20222222-2-2222222222200-2-2-2-2000000-2-20000000000-2-20022-2-222000000220000200-2000000-2000000
χ2122222-1222-1-12-12-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-100022202-1-100-12-1-1-1-1002002-1000-1-100-1-1000-1000
χ2222222-1222-1-12-12-1-1-1-1222-12-12222-1-1-1-122-1-1-1-1-1-1000-2-2-20-21100-12-1-1-1-100-200-210001100110001000
χ2322222-1222-1-12-12-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-10002-2-202-1-1001-2111100-2002-10001100-1-10001000
χ2422222-1222-1-12-12-1-1-1-1222-12-1-2-2-2-211-1-122-1-1-1-1-1-1000-2220-211001-2111100200-21000-1-10011000-1000
χ2522222-1222-1-12-12-1-1-1-1-2-22-12-12-22211-1-1-2-21111110002-2-202-1-100-1-211-1-100200-2-1000110011000-1000
χ2622222-1222-1-12-12-1-1-1-1-2-22-12-12-22211-1-1-2-2111111000-2220-21100-1-211-1-100-20021000-1-100-1-10001000
χ2722222-1222-1-12-12-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-211111100022202-1-10012-1-11100-200-2-1000-1-100110001000
χ2822222-1222-1-12-12-1-1-1-1-2-22-12-1-22-2-2-1-1-1-1-2-2111111000-2-2-20-2110012-1-11100200210001100-1-1000-1000
χ292222-1222-122-12-1-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-12220002000-1-12-1-1-1-1-10002200-1-1-100-1-1000000-100
χ302222-1222-122-12-1-1-1-1-122-12-1222-1-122-1-1-1-122-1-1-1-1-2-2-2000-2000112-1-1-1-1-1000-2-2001110011000000100
χ312222-1222-122-12-1-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-122-2000-200011-2111110002-200-1-110011000000-100
χ322222-1222-122-12-1-1-1-1-122-12-12-2-211-2-2-1-1-1-122-1-1-1-1-2-220002000-1-1-211111000-220011-100-1-1000000100
χ332222-1222-122-12-1-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-211112220002000-1-12111-1-1000-2-200-1-1-10011000000100
χ342222-1222-122-12-1-1-1-1-1-2-2-12-122-2-1-1-2-2-1-111-2-21111-2-2-2000-2000112111-1-1000220011100-1-1000000-100
χ352222-1222-122-12-1-1-1-1-1-2-2-12-12-221122-1-111-2-2111122-2000-200011-2-1-1-111000-2200-1-1100-1-1000000100
χ362222-1222-122-12-1-1-1-1-1-2-2-12-12-221122-1-111-2-21111-2-220002000-1-1-2-1-1-1110002-20011-10011000000-100
χ372-22-2222-22-2-2-22-22-2-2200-2-222000000-22000000002i−2i002-200000000000000000002i−2i02-2000002i−2i0000
χ382-22-2222-22-2-2-22-22-2-2200-2-222000000-22000000002i−2i00-2200000000000000000002i−2i0-2200000−2i2i0000
χ392-22-2222-22-2-2-22-22-2-2200-2-222000000-2200000000−2i2i002-20000000000000000000−2i2i02-200000−2i2i0000
χ402-22-2222-22-2-2-22-22-2-2200-2-222000000-2200000000−2i2i00-220000000000000000000−2i2i0-22000002i−2i0000
χ4144444-2-4-44-2-24-24-2-2-2-200-42-4200000022000000000004000-4-2-20000000000000020000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-200-42-420000002200000000000-400042200000000000000-20000000000000000
χ434444-24-4-4-244-24-2-2-2-2-2002-42-40000002200000000004000-400022000000000000000-20000000000000
χ444444-24-4-4-244-24-2-2-2-2-2002-42-4000000220000000000-40004000-2-200000000000000020000000000000
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
χ474444-2-244-2-2-2-2-2-21111-4-4-2-2-2-24-4-2-222112222-1-1-1-1000000000000-22-1-11100000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2-4422-2-2112222-1-1-1-10000000000002-211-1-100000000000000000000000
χ4944-4-44400-44-44-4-444-4-400000000000000000000000000000000000000004-4000000000000000000000
χ5044-4-44400-44-44-4-444-4-40000000000000000000000000000000000000000-44000000000000000000000
χ514-44-444-444-4-4-44-44-4-440044-4-40000004-40000000000000000000000000000000000000000000000000
χ524-44-44-24-4422-4-2-4-222-200-424-20000002-20000000000004-40000000000000000000000-2200000000000
χ534-44-44-24-4422-4-2-4-222-200-424-20000002-2000000000000-4400000000000000000000002-200000000000
χ544-44-44-2-44422-4-2-4-222-2004-2-42000023−23-22000000000000000000000023−230000000000000000000000000
χ554-44-44-2-44422-4-2-4-222-2004-2-420000−2323-220000000000000000000000−23230000000000000000000000000
χ564-44-4-244-4-2-4-4242-222-2002-4-240000002-2000000004i−4i00000000000000000000000−2i2i00000000000000
χ574-44-4-244-4-2-4-4242-222-2002-4-240000002-200000000−4i4i000000000000000000000002i−2i00000000000000
χ584-44-4-24-44-2-4-4242-222-200-242-400−2i32i300-22000000000000000000000000−2i32i300000000000000000000000
χ594-44-4-24-44-2-4-4242-222-200-242-4002i3−2i300-220000000000000000000000002i3−2i300000000000000000000000
χ604-44-4-2-2-44-2222-221-1-1100-2-22200−2i32i323−231-100003i3i−3i−3i00000000000000−33i3−i300000000000000000000000
χ614-44-4-2-2-44-2222-221-1-1100-2-22200−2i32i3−23231-10000−3i−3i3i3i000000000000003−3i3−i300000000000000000000000
χ624-44-4-2-2-44-2222-221-1-1100-2-222002i3−2i323−231-10000−3i−3i3i3i00000000000000−33−i3i300000000000000000000000
χ634-44-4-2-2-44-2222-221-1-1100-2-222002i3−2i3−23231-100003i3i−3i−3i000000000000003−3−i3i300000000000000000000000
χ644-4-444400-4-44-4-444-44-4−2i22i2000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000
χ654-4-444400-4-44-4-444-44-42i2−2i20000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000
χ664-4-444-200-42-2-424-22-22−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i20000000023−230000000000000000000000i6−i60000000
χ674-4-444-200-42-2-424-22-22−2i22i2000000000000−2i22i2i2−i2i2−i2i2−i200000000−23230000000000000000000000−i6i60000000
χ684-4-444-200-42-2-424-22-222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i20000000023−230000000000000000000000−i6i60000000
χ694-4-444-200-42-2-424-22-222i2−2i20000000000002i2−2i2−i2i2−i2i2−i2i200000000−23230000000000000000000000i6−i60000000
χ704-4-44-24002-442-4-2-22-22−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i20000000000−2i32i30000000000000000006−6000000000
χ714-4-44-24002-442-4-2-22-22−2i22i2000000000000i2−i2−2i22i2i2−i2i2−i200000000002i3−2i3000000000000000000−66000000000
χ724-4-44-24002-442-4-2-22-222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i20000000000−2i32i3000000000000000000−66000000000
χ734-4-44-24002-442-4-2-22-222i2−2i2000000000000−i2i22i2−2i2−i2i2−i2i200000000002i3−2i30000000000000000006−6000000000
χ748888-4-4-8-8-4-4-4-4-4-42222004444000000-2-20000000000000000000000000000000000000000000000000
χ7588-8-88-400-8-4484-8-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-480048-8-4-84-4-444000000000000000000000000000000000000000000000000000000000000000
χ7788-8-8-4-4004-44-44422-2-200000000000000000032−32−323200000000000000000000000000000000000000000
χ7888-8-8-4-4004-44-44422-2-2000000000000000000−323232−3200000000000000000000000000000000000000000
χ798-88-8-4-48-8-4444-442-2-220044-4-4000000-220000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-22-2−4i24i20000000000002i2−2i22i2−2i2−i2i2−i2i200000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-22-24i2−4i2000000000000−2i22i2−2i22i2i2−i2i2−i200000000000000000000000000000000000000000

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