Finite Group Databasebeta

← Group #11878384

Character table — Group #11878384

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222444444448888888888888881212121212121212161616161616162424242424242424242424242424363636364848487272
order1222334466666636661212121224812121212242424242424242422448812126666121212444466812121224242424248812121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-11-11111111111111-1-11-1-111-111-1-1-1-1-1-11-1-1-1-1
χ31111111111111111111111111111111111111-11-11-1-1-1-11111111-1-111-111-1-11-1-111-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111
χ511111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-111-111-1-1-11-1-1-1-111-1-111-11-1
χ611111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-1-1-1111111-1-1-1-11-111-11-1-1-1-1-111-1-1111-11-11
χ711111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-1111-1-11111-1-1-11-11-1-11-111111-1-1-1-111-11-1-11
χ811111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-11-1-11-1-1111-1111111-1-1-1-111-1
χ91111111111111111111111-11-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1111-1111-1-1-1-111-1-1-1-11-11
χ101111111111111111111111-11-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-1-1-11111-11-11-1111-1-1-111-1-111-11-11-1
χ111111111111111111111111-11-11111-1-1-1-1-1-1-1-1-11-1111-1-1-1-1-1-1111-11-11-11-1-1-1111-1-1-1-1111-111-1
χ121111111111111111111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-111-1-1-11-1-1-1111111-1-111-1-11
χ131111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1-1
χ141111111111111111111111-1-11-1-111111111111-11-11111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-1-11111
χ151111111111111111111111-1-11-1-11111111111-11-11-1-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-111-1-1-1-11-1-111
χ161111111111111111111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-11111111-1-1
χ17222222-2-22222222222-2-2-2-200000-2-20000000022-2-200-2-20000000000022000-20000-220000000
χ18222222-2-22222222222-2-2-2-200000-2-2000000002-2-2200-2-2000000000002-2000200002-20000000
χ19222222-2-22222222222-2-2-2-200000-2-200000000-222-2002200000000000-22000-200002-20000000
χ20222222-2-22222222222-2-2-2-200000-2-200000000-2-222002200000000000-2-200020000-220000000
χ2122222-1222-1-12-12-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1202022-1-12-1-1-12-1-12200-100-1-10-1-1000000-10000
χ2222222-1222-1-12-12-1-1-1-12-1-12222-1-1-1-1-1-122-1-1-1-1-20-20-2-2112-1-1-12-1-1-2-2001001101100000010000
χ2322222-1222-1-12-12-1-1-1-12-1-122-2-211-1-111-2-211112020-2-2-1-12-1-1-1-211-2200-10011011000000-10000
χ2422222-1222-1-12-12-1-1-1-12-1-122-2-211-1-111-2-21111-20-2022112-1-1-1-2112-200100-1-10-1-100000010000
χ2522222-1222-1-12-12-1-1-1-12-1-12-22-2-1-1-1-111-2-211112020-2-2-1-1-21112-1-12-200-100-1-101100000010000
χ2622222-1222-1-12-12-1-1-1-12-1-12-22-2-1-1-1-111-2-21111-20-202211-21112-1-1-2200100110-1-1000000-10000
χ2722222-1222-1-12-12-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1202022-1-1-2111-211-2-200-100110-1-100000010000
χ2822222-1222-1-12-12-1-1-1-12-1-12-2-2211-1-1-1-122-1-1-1-1-20-20-2-211-2111-2112200100-1-1011000000-10000
χ292222-1222-122-12-1-1-1-1-1-122-122222-1-122-1-1-1-1-1-102020000-12-1-1-1-1-100220-1200-100-1-100000-1-100
χ302222-1222-122-12-1-1-1-1-1-122-122222-1-122-1-1-1-1-1-10-20-20000-12-1-1-1-1-100-2-201-20010011000001100
χ312222-1222-122-12-1-1-1-1-1-122-12-2-2-2-2-1-1-2-211111102020000-12-1-1111002-20-1-200-1001100000-1100
χ322222-1222-122-12-1-1-1-1-1-122-12-2-2-2-2-1-1-2-21111110-20-20000-12-1-111100-2201200100-1-1000001-100
χ332222-1222-122-12-1-1-1-1-1-122-1-22-222-1-1-2-2111111020200001-211-1-1-100-220-1-200-10011000001-100
χ342222-1222-122-12-1-1-1-1-1-122-1-22-222-1-1-2-21111110-20-200001-211-1-1-1002-201200100-1-100000-1100
χ352222-1222-122-12-1-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-1020200001-21111100-2-20-1200-100-1-1000001100
χ362222-1222-122-12-1-1-1-1-1-122-1-2-22-2-2-1-122-1-1-1-1-1-10-20-200001-211111002201-2001001100000-1-100
χ3744444-2-4-44-2-24-24-2-2-2-2-422-400000220000000040-40002200000000000-2000000000000000000
χ3844444-2-4-44-2-24-24-2-2-2-2-422-4000002200000000-404000-2-2000000000002000000000000000000
χ394444-24-4-4-244-24-2-2-2-2-22-4-42000002200000000040-40000000000000000-200020000000000000
χ404444-24-4-4-244-24-2-2-2-2-22-4-420000022000000000-40400000000000000002000-20000000000000
χ414444-2-244-2-2-2-2-2-21111-2-2-2-2444-2-211-2-2-2-2111100000000-2-211-21100000000000000000000000
χ424444-2-244-2-2-2-2-2-21111-2-2-2-24-4-422112222-1-1-1-100000000-2-2112-1-100000000000000000000000
χ434444-2-244-2-2-2-2-2-21111-2-2-2-2-44-4-2-2112222-1-1-1-10000000022-1-1-21100000000000000000000000
χ444444-2-244-2-2-2-2-2-21111-2-2-2-2-4-442211-2-2-2-211110000000022-1-12-1-100000000000000000000000
χ4544-4-444004-44-4-4-444-4-40000000000000000000000022−22000000000000000000022−2200000000000
χ4644-4-444004-44-4-4-444-4-400000000000000000000000−22220000000000000000000−222200000000000
χ4744-4-44-20042-2-42-4-2-222000000000006−60066−6−6000022−2223−2300000000000000000−2200000000000
χ4844-4-44-20042-2-42-4-2-222000000000006−60066−6−60000−2222−2323000000000000000002−200000000000
χ4944-4-44-20042-2-42-4-2-22200000000000−6600−6−666000022−22−232300000000000000000−2200000000000
χ5044-4-44-20042-2-42-4-2-22200000000000−6600−6−6660000−222223−23000000000000000002−200000000000
χ514-44-44400-4-4-444-44-4-4400000000000000000000000000000000000000000000000000−2i22i200000
χ524-44-44400-4-4-444-44-4-44000000000000000000000000000000000000000000000000002i2−2i200000
χ534-4-44444-4-44-4-4-444-44-4-44-4400000-440000000000000000000000000000000000000000000000
χ544-4-4444-44-44-4-4-444-44-44-44-4000004-40000000000000000000000000000000000000000000000
χ554-4-444-24-4-4-22-424-22-22-4-224000002-200000000000000000000000000000023−2300000000000000
χ564-4-444-24-4-4-22-424-22-22-4-224000002-2000000000000000000000000000000−232300000000000000
χ574-4-444-2-44-4-22-424-22-2242-2-400023−23-2200000000000000000000023−2300000000000000000000000
χ584-4-444-2-44-4-22-424-22-2242-2-4000−2323-22000000000000000000000−232300000000000000000000000
χ594-4-44-244-424-42-4-2-22-2224-4-2000002-200000000000000000000000000000000000−2i32i3000000000
χ604-4-44-244-424-42-4-2-22-2224-4-2000002-2000000000000000000000000000000000002i3−2i3000000000
χ614-4-44-24-4424-42-4-2-22-22-2-44200000-220023−2323−2323−2300000000000000000000000000000000000000
χ624-4-44-24-4424-42-4-2-22-22-2-44200000-2200−2323−2323−232300000000000000000000000000000000000000
χ634-4-44-2-2-442-2222-21-11-1-22-2200023−231-10023−23−33−3300000000003-30−3300000000000000000000000
χ644-4-44-2-2-442-2222-21-11-1-22-2200023−231-100−23233−33−30000000000-330−3300000000000000000000000
χ654-4-44-2-2-442-2222-21-11-1-22-22000−23231-10023−23−33−330000000000-3303−300000000000000000000000
χ664-4-44-2-2-442-2222-21-11-1-22-22000−23231-100−23233−33−300000000003-303−300000000000000000000000
χ678888-4-4-8-8-4-4-4-4-4-42222444400000-2-20000000000000000000000000000000000000000000000
χ6888-8-8-4800-4-884-84-4-444000000000000000000000000000000000000000000000000000000000
χ6988-8-8-4-400-44-444422-2-20000000000026−2600−6−66600000000000000000000000000000000000000
χ7088-8-8-4-400-44-444422-2-200000000000−26260066−6−600000000000000000000000000000000000000
χ718-88-88-400-8448-4-8-444-4000000000000000000000000000000000000000000000000000000000
χ728-88-8-48004-8-8-484-444-4000000000000000000000000000000000000000000000000000000000
χ738-88-8-4-400444-4-442-2-2200000000000000032−32−323200000000000000000000000000000000000000
χ748-88-8-4-400444-4-442-2-22000000000000000−323232−3200000000000000000000000000000000000000
χ758-8-88-4-48-84-4444-42-22-24-44-400000-220000000000000000000000000000000000000000000000

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