Finite Group Databasebeta

← Group #11897580

Character table — Group #11897580

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212124444812121212121224242424242424242222444881212121212121212121244666681212242424244488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11-1-1-1-111-1-11111111-111-1-111-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111111-1-111111-111-1-11-1-1-111-111-1-1-1-111-1-11-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-111-1-111-1-1-1-1-11-1-1-111-1-11111-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111111-1-11111-1-1-11-1-111-1-11111-11-1-1-111-1-111-1-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-11111-11-1-111-1111-1-1-111-1-1-1-111-1-1-11-11
χ7111111111111111111111111-1-11-1-1-1-11111111111-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-11111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-1-111-11111-1-111111111-11-1-111-1-11-1-111-1-1-1-1-11-1-1
χ101111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1111-111-1-1-1-111111-1111-1-1-1-111-1-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11-111-1-1-1111-1-11-1-1111111-1-1-111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11-1-1111-1-1-1111-1-1111111-1-11-1-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-1-11111-1-1-1-11-1111-1-1-1-111111-1
χ151111111111111111111111-1-1-1-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-1111111111111-1-1-11111-1-111-1-1-1-1-1-11-111-1-1-1-11-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-2000000000000-22-20022220000000000000-2-200002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-2000000000000-2-220022-2-20000000000000-220000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000000022-200-2-22200000000000002-20000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000002-2200-2-2-2-200000000000002200002-2000000
χ2122222-1222-12-12-1-1-1-1-12-12-100222-1-122-1-122-1-1-1-1-1-100220222200-1-12-1-1-1-1-10200-1-100-100-1-100000-100
χ2222222-1222-12-12-1-1-1-1-12-12-100222-1-122-1-122-1-1-1-1-1-100-2-20-2-2-2-200112-1-1-1-1-10-20011001001100000100
χ2322222-1222-12-12-1-1-1-1-12-12-1002-2-2-1-1-2-2-1-1-2-21111110022022-2-200-1-121-1-1110-200-1-100-1001100000100
χ2422222-1222-12-12-1-1-1-1-12-12-1002-2-2-1-1-2-2-1-1-2-211111100-2-20-2-222001121-1-11102001100100-1-100000-100
χ2522222-1222-12-12-1-1-1-1-12-12-100-22-21122-1-1-2-211111100220-2-2220011-2-111-1-10-200-1-100100-1-100000100
χ2622222-1222-12-12-1-1-1-1-12-12-100-22-21122-1-1-2-211111100-2-2022-2-200-1-1-2-111-1-102001100-1001100000-100
χ2722222-1222-12-12-1-1-1-1-12-12-100-2-2211-2-2-1-122-1-1-1-1-1-100220-2-2-2-20011-2111110200-1-1001001100000-100
χ2822222-1222-12-12-1-1-1-1-12-12-100-2-2211-2-2-1-122-1-1-1-1-1-100-2-20222200-1-1-2111110-2001100-100-1-100000100
χ292222-1222-12-12-12-1-1-1-1-12-122222222-1-1-1-1-1-122-1-1-1-1220020000-1-100-12-1-1-1-120-1-1002-10-1-1000000-1000
χ302222-1222-12-12-12-1-1-1-1-12-12222-2-22211-1-111-2-21111-2-20020000-1-100-1-2-1-111201100-2-1011000000-1000
χ312222-1222-12-12-12-1-1-1-1-12-1222-22-2-2-2-1-1-1-111-2-21111220020000-1-1001211-1-1-20-1-100-2-10110000001000
χ322222-1222-12-12-12-1-1-1-1-12-1222-2-22-2-211-1-1-1-122-1-1-1-1-2-20020000-1-1001-21111-2011002-10-1-10000001000
χ332222-1222-12-12-12-1-1-1-1-12-12-2-222222-1-1-1-1-1-122-1-1-1-1-2-200-200001100-12-1-1-1-1-201100-210110000001000
χ342222-1222-12-12-12-1-1-1-1-12-12-2-22-2-22211-1-111-2-211112200-200001100-1-2-1-111-20-1-100210-1-10000001000
χ352222-1222-12-12-12-1-1-1-1-12-12-2-2-22-2-2-2-1-1-1-111-2-21111-2-200-2000011001211-1-1201100210-1-1000000-1000
χ362222-1222-12-12-12-1-1-1-1-12-12-2-2-2-22-2-211-1-1-1-122-1-1-1-12200-2000011001-2111120-1-100-21011000000-1000
χ3722-2-222-2222-2-2-2-222-2-222-2-20000000002-2000000002-22-2000000000000000002-22-20000000002-20000
χ3822-2-222-2222-2-2-2-222-2-222-2-20000000002-2000000002-2-22000000000000000002-2-22000000000-220000
χ3922-2-222-2222-2-2-2-222-2-222-2-20000000002-200000000-222-200000000000000000-222-2000000000-220000
χ4022-2-222-2222-2-2-2-222-2-222-2-20000000002-200000000-22-2200000000000000000-22-220000000002-20000
χ4144444-2-4-44-24-24-2-2-2-2-2-42-420000000002200000000000004-40000-2-2000000000000002000000000000
χ4244444-2-4-44-24-24-2-2-2-2-2-42-42000000000220000000000000-4400002200000000000000-2000000000000
χ434444-24-4-4-24-24-24-2-2-2-22-42-444000000022000000000000-40000-2-200000000000000020000000000000
χ444444-24-4-4-24-24-24-2-2-2-22-42-4-4-40000000220000000000004000022000000000000000-20000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-10000000000000-2211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-100000000000002-2-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-4444-444-4-4-4-444-4-4-4-444000000000-44000000000000000000000000000000000000000000000000
χ5044-4-44-24-44-2-42-42-2-222-424-20000023−23002-20000000000000000000000023−2300000000000000000000000
χ5144-4-44-24-44-2-42-42-2-222-424-200000−2323002-200000000000000000000000−232300000000000000000000000
χ5244-4-44-2-444-2-42-42-2-2224-2-42000000000-2200000000004-40000000000000000000-22000000000000000
χ5344-4-44-2-444-2-42-42-2-2224-2-42000000000-220000000000-4400000000000000000002-2000000000000000
χ5444-4-4-244-4-242-42-4-2-2222-4-24000000023−232-2000000000000000000000000023−23000000000000000000000
χ5544-4-4-244-4-242-42-4-2-2222-4-240000000−23232-20000000000000000000000000−2323000000000000000000000
χ5644-4-4-24-44-242-42-4-2-222-242-4000000000-22000000004-40000000000000000000-2200000000000000000
χ5744-4-4-24-44-242-42-4-2-222-242-4000000000-2200000000-4400000000000000000002-200000000000000000
χ5844-4-4-2-24-4-2-2222211-1-122-2-20000023−2323−23-11000033-3-3000000000000000−33−33000000000000000000000
χ5944-4-4-2-24-4-2-2222211-1-122-2-20000023−23−2323-110000-3-333000000000000000−333−3000000000000000000000
χ6044-4-4-2-24-4-2-2222211-1-122-2-200000−232323−23-110000-3-3330000000000000003−3−33000000000000000000000
χ6144-4-4-2-24-4-2-2222211-1-122-2-200000−2323−2323-11000033-3-30000000000000003−33−3000000000000000000000
χ624-44-44400-4-4-444-44-44-4000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ634-44-44400-4-4-444-44-44-40000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ644-44-44-200-42-4-242-22-22000000000000000006−66−66−60000000−2i22i200−2i32i300000000000000000i2−i200000000
χ654-44-44-200-42-4-242-22-22000000000000000006−66−66−600000002i2−2i2002i3−2i300000000000000000−i2i200000000
χ664-44-44-200-42-4-242-22-2200000000000000000−66−66−660000000−2i22i2002i3−2i300000000000000000i2−i200000000
χ674-44-44-200-42-4-242-22-2200000000000000000−66−66−6600000002i2−2i200−2i32i300000000000000000−i2i200000000
χ684-4-444400-4-44-4-444-4-4400004-4000000000000000000000000004-400000000000000000000000000000
χ694-4-444400-4-44-4-444-4-440000-4400000000000000000000000000-4400000000000000000000000000000
χ704-4-44-24002-4-2-424-222-200004-40000000006−6006−6−66000000000-22000000000000000006−60000000000
χ714-4-44-24002-4-2-424-222-200004-4000000000−6600−666−6000000000-2200000000000000000−660000000000
χ724-4-44-24002-4-2-424-222-20000-440000000006−6006−6−660000000002-200000000000000000−660000000000
χ734-4-44-24002-4-2-424-222-20000-44000000000−6600−666−60000000002-2000000000000000006−60000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-4-4-88-4-4444422-2-2-4-4440000000002-2000000000000000000000000000000000000000000000000
χ768-88-8-48004-848-4-8-44-44000000000000000000000000000000000000000000000000000000000000000
χ778-88-8-4-400444-4-442-22-20000000000000000026−26−66−660000000000000000000000000000000000000000
χ788-88-8-4-400444-4-442-22-200000000000000000−26266−66−60000000000000000000000000000000000000000
χ798-8-888-400-8484-8-4-444-4000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-40044-444-42-2-2200000000000000026−2600−666−60000000000000000000000000000000000000000
χ818-8-88-4-40044-444-42-2-22000000000000000−2626006−6−660000000000000000000000000000000000000000

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