Finite Group Databasebeta

← Group #11889309

Character table — Group #11889309

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order122233446666663666121212124444812121212121224242424242424242224444881212121212121212121224666812121224242424248861244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111111-1-1-11111-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111-1-11111-1-1-1111-1-1-1-1111-111-1-1-111-1-111-1-11-1
χ41111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-11-1-11111-1-11111-1111-1-1-11-1-11-1111-1-1-1-111-1-1-11-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1111-1-111-1-111111-1-1-1111-1111-1-1-11-1-1-1-111-1-11-11-1
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-11-1-1-11111-1-11-1-1-1-1-1-111-1-11111-11
χ7111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1111
χ8111111111111111111111111-1-11-1-1-1-111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1
χ91111111111111111111111-1-111111111111111111-111-1-11111-1-111111111-1111-1-1-1-11-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1111-1-11-111-11-1-1-1111111-1-11-1-11
χ121111111111111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-111-1-1-11-1-1111-1-1-1-111111-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-1-111-1-111-1111111-1-1-1-111-1-1-11
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-11-1-1-1111-1111111-1-1-111-1
χ151111111111111111111111-1-1-1-11-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1111111-1-1
χ161111111111111111111111-1-1-1-11-1-1-1-11111111111-1-1-1111111-1-111-1-1-1-1-1-11-1-1-1-1-1111-1-111-1-1-1-11-111
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000-200002-20022220000000000-2000-200002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-200000000-20000-220022-2-20000000000-200020000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-200000000200002-200-2-22200000000002000-20000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000020000-2200-2-2-2-200000000002000200002-2000000
χ2122222-1222-1-12-12-1-1-1-12-1-1222222-1-122-1-1-1-122-1-1-1-1200220000-1-100-12-1-1-1-12000-12-1-10-1-1000000-1000
χ2222222-1222-1-12-12-1-1-1-12-1-12222-2-2-1-1-2-2-1-111-2-21111200220000-1-10012-1-111-2000-1-2-1-10110000001000
χ2322222-1222-1-12-12-1-1-1-12-1-1222-22-21122-1-111-2-21111200-2-20000-1-100-1-211-1-12000-1-211011000000-1000
χ2422222-1222-1-12-12-1-1-1-12-1-1222-2-2211-2-2-1-1-1-122-1-1-1-1200-2-20000-1-1001-21111-2000-12110-1-10000001000
χ2522222-1222-1-12-12-1-1-1-12-1-12-2-2222-1-122-1-1-1-122-1-1-1-1-200-2-200001100-12-1-1-1-1-20001-2110110000001000
χ2622222-1222-1-12-12-1-1-1-12-1-12-2-22-2-2-1-1-2-2-1-111-2-21111-200-2-20000110012-1-111200012110-1-1000000-1000
χ2722222-1222-1-12-12-1-1-1-12-1-12-2-2-22-21122-1-111-2-21111-2002200001100-1-211-1-1-200012-1-10-1-10000001000
χ2822222-1222-1-12-12-1-1-1-12-1-12-2-2-2-2211-2-2-1-1-1-122-1-1-1-1-20022000011001-2111120001-2-1-1011000000-1000
χ292222-1222-122-12-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-102200222200-1-12-1-1-1-1-102-1-10000-100-1-100000-100
χ302222-1222-122-12-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-10-2-200-2-2-2-200112-1-1-1-1-10-21100001001100000100
χ312222-1222-122-12-1-1-1-1-1-122-1002-2-22211-1-1-2-211111102200-2-2220011-2-1-1-1110-2-1-10000100-1-100000100
χ322222-1222-122-12-1-1-1-1-1-122-1002-2-22211-1-1-2-21111110-2-20022-2-200-1-1-2-1-1-11102110000-1001100000-100
χ332222-1222-122-12-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-21111110220022-2-200-1-12111-1-10-2-1-10000-1001100000100
χ342222-1222-122-12-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-21111110-2-200-2-22200112111-1-102110000100-1-100000-100
χ352222-1222-122-12-1-1-1-1-1-122-100-2-22-2-211-1-122-1-1-1-1-1-102200-2-2-2-20011-21111102-1-100001001100000-100
χ362222-1222-122-12-1-1-1-1-1-122-100-2-22-2-211-1-122-1-1-1-1-1-10-2-200222200-1-1-2111110-2110000-100-1-100000100
χ372-2-22222-22-22-2-2-222-2-22-22-20000000002-20000000002-22i−2i00000000000000002-2002i−2i00000002i−2i0000
χ382-2-22222-22-22-2-2-222-2-22-22-20000000002-20000000002-2−2i2i00000000000000002-200−2i2i0000000−2i2i0000
χ392-2-22222-22-22-2-2-222-2-22-22-20000000002-2000000000-222i−2i0000000000000000-22002i−2i0000000−2i2i0000
χ402-2-22222-22-22-2-2-222-2-22-22-20000000002-2000000000-22−2i2i0000000000000000-2200−2i2i00000002i−2i0000
χ4144444-2-4-44-2-24-24-2-2-2-2-422-44400000002200000000-400000000-2-200000000000020000000000000000
χ4244444-2-4-44-2-24-24-2-2-2-2-422-4-4-40000000220000000040000000022000000000000-20000000000000000
χ434444-24-4-4-244-24-2-2-2-2-22-4-420000000002200000000000004-40000-2-2000000000000002000000000000
χ444444-24-4-4-244-24-2-2-2-2-22-4-42000000000220000000000000-4400002200000000000000-2000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-200444-2-2-2-211-2-2-2-211110000000000000-2-21111000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-4-2-222112222-1-1-1-100000000000002-211-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-44-422-2-2112222-1-1-1-10000000000000-22-1-111000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-44222211-2-2-2-21111000000000000022-1-1-1-1000000000000000000000
χ4944-4-44400-44-4-4-444-44-400004i−4i000000000000000000000000004i−4i00000000000000000000000000000
χ5044-4-44400-44-4-4-444-44-40000−4i4i00000000000000000000000000−4i4i00000000000000000000000000000
χ5144-4-44-200-4-22-424-22-2200004i−4i0000000006−60066−6−6000000000−2i2i00000000000000000i6−i60000000000
χ5244-4-44-200-4-22-424-22-2200004i−4i000000000−6600−6−666000000000−2i2i00000000000000000−i6i60000000000
χ5344-4-44-200-4-22-424-22-220000−4i4i0000000006−60066−6−60000000002i−2i00000000000000000−i6i60000000000
χ5444-4-44-200-4-22-424-22-220000−4i4i000000000−6600−6−6660000000002i−2i00000000000000000i6−i60000000000
χ554-44-44400-4-4-444-44-4-44000000000000000000000000000000−2i22i2000000000000000000000−2i22i200000000
χ564-44-44400-4-4-444-44-4-440000000000000000000000000000002i2−2i20000000000000000000002i2−2i200000000
χ574-44-4-24002-4-4-242-222-2000000000000000006−66−66−60000000−2i22i200−2i32i300000000000000000i2−i200000000
χ584-44-4-24002-4-4-242-222-2000000000000000006−66−66−600000002i2−2i2002i3−2i300000000000000000−i2i200000000
χ594-44-4-24002-4-4-242-222-200000000000000000−66−66−660000000−2i22i2002i3−2i300000000000000000i2−i200000000
χ604-44-4-24002-4-4-242-222-200000000000000000−66−66−6600000002i2−2i200−2i32i300000000000000000−i2i200000000
χ614-4-4444-444-44-4-4-444-4-4-44-44000000000-44000000000000000000000000000000000000000000000000
χ624-4-444-24-442-2-42-4-2-22242-2-4000000000-22000000000004i−4i00000000000000000000−2i2i0000000000000
χ634-4-444-24-442-2-42-4-2-22242-2-4000000000-2200000000000−4i4i000000000000000000002i−2i0000000000000
χ644-4-444-2-4442-2-42-4-2-222-4-2240000023−23002-20000000000000000000000023−2300000000000000000000000
χ654-4-444-2-4442-2-42-4-2-222-4-22400000−2323002-200000000000000000000000−232300000000000000000000000
χ664-4-44-244-4-2-442-42-2-222-2-442000000000-220000000004-4000000000000000000-2200000000000000000
χ674-4-44-244-4-2-442-42-2-222-2-442000000000-22000000000-440000000000000000002-200000000000000000
χ684-4-44-24-44-2-442-42-2-22224-4-2000000023−232-2000000000000000000000000023−23000000000000000000000
χ694-4-44-24-44-2-442-42-2-22224-4-20000000−23232-20000000000000000000000000−2323000000000000000000000
χ704-4-44-2-2-44-22-222211-1-12-22-20000023−2323−23-1100003-3-33000000000000000−33−33000000000000000000000
χ714-4-44-2-2-44-22-222211-1-12-22-20000023−23−2323-110000-333-3000000000000000−333−3000000000000000000000
χ724-4-44-2-2-44-22-222211-1-12-22-200000−232323−23-110000-333-30000000000000003−3−33000000000000000000000
χ734-4-44-2-2-44-22-222211-1-12-22-200000−2323−2323-1100003-3-330000000000000003−33−3000000000000000000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-480048-84-8-4-44-44000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-4004-4444-42-22-200000000000000026−2600−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-4004-4444-42-22-2000000000000000−26260066−6−60000000000000000000000000000000000000000
χ788-88-88-400-8448-4-8-444-4000000000000000000000000000000000000000000000000000000000000000
χ798-88-8-4-400444-4-442-2-220000000000000000026−26−66−660000000000000000000000000000000000000000
χ808-88-8-4-400444-4-442-2-2200000000000000000−26266−66−60000000000000000000000000000000000000000
χ818-8-88-4-48-8-44-444422-2-2-44-440000000002-2000000000000000000000000000000000000000000000000

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