Finite Group Databasebeta

← Group #11889757

Character table — Group #11889757

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81
size1111222222222244444444668888888888888888812121212121212121212121212161616161616242424242424242424242424243636363648487272
order1222334466666636661212121222246681212121224242424242424242244444668812126661212124466812121212242424242488121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-11-1-1-111-1-1-1-1111111-111111-1-1-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111111-1-111-1-111111-1-1-11-111-111-1-1-1-1-1-111-1-1-111-1
χ41111111111111111111111111-111-1-1-111-1-1-1-1-1-1-1-111-11-1111111-1-1111-1-1-1-1-111-11-111-1-111-1-111-1-1-11
χ5111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1111-11-1-1-11111-1-1-1-111-1-11-1-11
χ6111111111111111111111111-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-111111-1-1-11-1-1-1-1-111-1-111111-1
χ7111111111111111111111111-1-1-1-11-1-11111111111-1-1111-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ8111111111111111111111111-1-1-1-11-1-11111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-11-1-1-111-11111-1-1-1-1-1-1-1111
χ91111111111111111111111-1-111111111111111111-1-11-1111-1-111111111111-1-1-1-1-1111-1-111-1-1-1-1-11-1-1
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
χ111111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-1-1-111111-1-1-111-1-11-11-1-111-1-1-1-11111-11
χ121111111111111111111111-1-11-111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111-1-1-1-11-1-11-1-111111111-1-11-11-1
χ131111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-111-1-1-1111-1-1111-111111-1-1-1-111-1-11-1
χ141111111111111111111111-1-1-11-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-11111-1111-1-1-1-1111111-1-1-11-11
χ151111111111111111111111-1-1-1-1-1-11-1-11111111111111-11-1-1-1-11111-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-1-1-11-111
χ161111111111111111111111-1-1-1-1-1-11-1-1111111111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1111111-1-1
χ17222222-2-22222222222-2-2-2-2220000000-2-200000000002-2-20022002200000000000-2-20000002-2000000
χ18222222-2-22222222222-2-2-2-2220000000-2-20000000000-2-22002200-2-200000000000-22000000-22000000
χ19222222-2-22222222222-2-2-2-2-2-20000000-2-2000000000022-200-2-20022000000000002-2000000-22000000
χ20222222-2-22222222222-2-2-2-2-2-20000000-2-20000000000-22200-2-200-2-200000000000220000002-2000000
χ2122222-122-12-1-122-1-1-1-12-1-122222-1-1222-1-1-1-122-1-1-1-12202000-1-100002-1-1-1-1-102-1-12-1000-1-1000000-1000
χ2222222-122-12-1-122-1-1-1-12-1-12222-2-1-1-2-2-2-1-111-2-211112202000-1-100002-1-11110-2-1-1-2-1000110000001000
χ2322222-122-12-1-122-1-1-1-12-1-1222-2211-222-1-111-2-21111-2-202000-1-10000-211-1-1-10211-2-100011000000-1000
χ2422222-122-12-1-122-1-1-1-12-1-1222-2-2112-2-2-1-1-1-122-1-1-1-1-2-202000-1-10000-2111110-2112-1000-1-10000001000
χ2522222-122-12-1-122-1-1-1-12-1-12-2-222-1-1222-1-1-1-122-1-1-1-1-2-20-20001100002-1-1-1-1-10-211-21000110000001000
χ2622222-122-12-1-122-1-1-1-12-1-12-2-22-2-1-1-2-2-2-1-111-2-21111-2-20-20001100002-1-1111021121000-1-1000000-1000
χ2722222-122-12-1-122-1-1-1-12-1-12-2-2-2211-222-1-111-2-21111220-2000110000-211-1-1-10-2-1-121000-1-10000001000
χ2822222-122-12-1-122-1-1-1-12-1-12-2-2-2-2112-2-2-1-1-1-122-1-1-1-1220-2000110000-21111102-1-1-2100011000000-1000
χ292222-12222-122-1-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-100202220022-1-1-1-1-12-1-1200000-1-1-100-1-100000-100
χ302222-12222-122-1-1-1-1-1-1-122-10022222-1-1-1-122-1-1-1-1-1-100-20-2-2-200-2-211-1-1-12-1-1-200000111001100000100
χ312222-12222-122-1-1-1-1-1-1-122-1002-222-211-1-1-2-211111100202-2-200-2-2-1-1-1-1-1-211200000-111001100000-100
χ322222-12222-122-1-1-1-1-1-1-122-1002-222-211-1-1-2-211111100-20-222002211-1-1-1-211-2000001-1-100-1-100000100
χ332222-12222-122-1-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-2111111002022200-2-2-1-11112-1-1-200000-1-1-1001100000100
χ342222-12222-122-1-1-1-1-1-1-122-100-22-2-2-2-1-1-1-1-2-211111100-20-2-2-20022111112-1-120000011100-1-100000-100
χ352222-12222-122-1-1-1-1-1-1-122-100-2-2-2-2211-1-122-1-1-1-1-1-100202-2-20022-1-1111-211-200000-11100-1-100000100
χ362222-12222-122-1-1-1-1-1-1-122-100-2-2-2-2211-1-122-1-1-1-1-1-100-20-22200-2-211111-2112000001-1-1001100000-100
χ372-22-2222-2-2-22-22-22-2-222-22-20000000002-2000000002-20002i−2i000000000000002-20002i−2i0000002i−2i0000
χ382-22-2222-2-2-22-22-22-2-222-22-20000000002-2000000002-2000−2i2i000000000000002-2000−2i2i000000−2i2i0000
χ392-22-2222-2-2-22-22-22-2-222-22-20000000002-200000000-220002i−2i00000000000000-220002i−2i000000−2i2i0000
χ402-22-2222-2-2-22-22-22-2-222-22-20000000002-200000000-22000−2i2i00000000000000-22000−2i2i0000002i−2i0000
χ4144444-2-4-4-24-2-244-2-2-2-2-422-44400000002200000000000-4000-2-20000000000000002000000000000000
χ4244444-2-4-4-24-2-244-2-2-2-2-422-4-4-400000002200000000000400022000000000000000-2000000000000000
χ434444-24-4-44-244-2-2-2-2-2-22-4-4200000000022000000000040-4000000-2-2000000000000200000000000000
χ444444-24-4-44-244-2-2-2-2-2-22-4-42000000000220000000000-40400000022000000000000-200000000000000
χ454444-2-244-2-2-2-2-2-21111-2-2-2-20044-2-24-2-211-2-2-2-211110000000000000-211-211000000000000000000000
χ464444-2-244-2-2-2-2-2-21111-2-2-2-2004-4-2-2-422112222-1-1-1-10000000000000-2112-1-1000000000000000000000
χ474444-2-244-2-2-2-2-2-21111-2-2-2-200-4422-4-2-2112222-1-1-1-100000000000002-1-1-211000000000000000000000
χ484444-2-244-2-2-2-2-2-21111-2-2-2-200-4-42242211-2-2-2-2111100000000000002-1-12-1-1000000000000000000000
χ4944-4-4440044-4-4-4-444-4-400004-40000000000000000000000004-40000000000000000000000000000000
χ5044-4-4440044-4-4-4-444-4-40000-44000000000000000000000000-440000000000000000000000000000000
χ5144-4-44-200-2422-4-4-2-22200004-40000000006−60066−6−60000000-2200000000000000000006−60000000000
χ5244-4-44-200-2422-4-4-2-22200004-4000000000−6600−6−6660000000-220000000000000000000−660000000000
χ5344-4-44-200-2422-4-4-2-2220000-440000000006−60066−6−600000002-20000000000000000000−660000000000
χ5444-4-44-200-2422-4-4-2-2220000-44000000000−6600−6−66600000002-200000000000000000006−60000000000
χ554-44-444-44-4-44-44-44-4-44-44-44000000000-44000000000000000000000000000000000000000000000000
χ564-44-44-24-42-4-224-4-222-242-2-4000000000-22000000004-40000000000000000000-2200000000000000000
χ574-44-44-24-42-4-224-4-222-242-2-4000000000-2200000000-4400000000000000000002-200000000000000000
χ584-44-44-2-442-4-224-4-222-2-4-2240000−2i32i30002-20000000000000000000000−2i32i3000000000000000000000000
χ594-44-44-2-442-4-224-4-222-2-4-22400002i3−2i30002-200000000000000000000002i3−2i3000000000000000000000000
χ604-44-4-244-4-424-4-22-222-2-2-442000000000-2200000000000004i−4i0000000000000000000−2i2i000000000000
χ614-44-4-244-4-424-4-22-222-2-2-442000000000-220000000000000−4i4i00000000000000000002i−2i000000000000
χ624-44-4-24-44-424-4-22-222-224-4-20000000−2i32i32-20000000000000000000000000−2i32i3000000000000000000000
χ634-44-4-24-44-424-4-22-222-224-4-200000002i3−2i32-200000000000000000000000002i3−2i3000000000000000000000
χ644-44-4-2-2-4422-22-221-1-112-22-20000−2i32i30−2i32i3-1100003-33-300000000000000i3−i30i3−i3000000000000000000000
χ654-44-4-2-2-4422-22-221-1-112-22-20000−2i32i302i3−2i3-110000-33-3300000000000000i3−i30−i3i3000000000000000000000
χ664-44-4-2-2-4422-22-221-1-112-22-200002i3−2i30−2i32i3-110000-33-3300000000000000−i3i30i3−i3000000000000000000000
χ674-44-4-2-2-4422-22-221-1-112-22-200002i3−2i302i3−2i3-1100003-33-300000000000000−i3i30−i3i3000000000000000000000
χ684-4-444400-4-4-44-444-44-40000000000000000000000000000000022−22000000000000000000022−2200000000
χ694-4-444400-4-4-44-444-44-400000000000000000000000000000000−22220000000000000000000−222200000000
χ704-4-44-2400-42-442-2-22-22000000000000000006−66−6−6600000000022−2223−2300000000000000000−2200000000
χ714-4-44-2400-42-442-2-22-22000000000000000006−66−6−66000000000−2222−2323000000000000000002−200000000
χ724-4-44-2400-42-442-2-22-2200000000000000000−66−666−600000000022−22−232300000000000000000−2200000000
χ734-4-44-2400-42-442-2-22-2200000000000000000−66−666−6000000000−222223−23000000000000000002−200000000
χ748888-4-4-8-8-4-4-4-4-4-422224444000000000-2-2000000000000000000000000000000000000000000000000
χ7588-8-8-48008-4-8-844-4-444000000000000000000000000000000000000000000000000000000000000000
χ7688-8-8-4-400-4-4444422-2-200000000000000026−2600−6−6660000000000000000000000000000000000000000
χ7788-8-8-4-400-4-4444422-2-2000000000000000−26260066−6−60000000000000000000000000000000000000000
χ788-88-8-4-48-844-44-442-2-22-44-440000000002-2000000000000000000000000000000000000000000000000
χ798-8-888-4004-84-4-88-44-44000000000000000000000000000000000000000000000000000000000000000
χ808-8-88-4-400444-44-42-22-20000000000000000026−26−666−60000000000000000000000000000000000000000
χ818-8-88-4-400444-44-42-22-200000000000000000−26266−6−660000000000000000000000000000000000000000

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