Finite Group Databasebeta

← Group #326987

Character table — Group #326987

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size1111111122222222222244444488888888888888888888888881616161616161616161616163232
order12222222222244444444444444222244444444444448888888844448888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ41111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-1-111-1-111-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-111-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-11111-1-1-11
χ1411111111-1-1-1-111111111-1-1-1-111-1-111-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-111-1-1111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-111-1-1-11
χ1722222222222222-2-222-2-222-2-2-2-22222-20000-2-2-2-200000000000000000000000000
χ1822222222222222-2-222-2-222-2-2-2-2-2-2-2-2-20000222200000000000000000000000000
χ19222222222222-2-222-2-222-2-222-2-20000-222220000-2-2-2-20000000000000000000000
χ20222222222222-2-222-2-222-2-222-2-20000-2-2-2-2-2000022220000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200002000000000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000200000000000000000000-22-220000000000
χ2322222222-2-2-2-222-2-222-2-2-2-222-2-222-2-220000-2-22200000000000000000000000000
χ2422222222-2-2-2-222-2-222-2-2-2-222-2-2-2-2222000022-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-222-2-22222-2-2-2-20000222-2-20000-2-2220000000000000000000000
χ2622222222-2-2-2-2-2-222-2-22222-2-2-2-200002-2-222000022-2-20000000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-2000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22222220000-200000000000000000000-222-20000000000
χ2922-2-2-2-22222-2-2002200-2-2002-20000000000000002-22-2i2i2−i2−i2i2i2−i2−i200000000i2−i2i2−i200
χ3022-2-2-2-22222-2-2002200-2-2002-20000000000000002-22-2−i2−i2i2i2−i2−i2i2i200000000−i2i2−i2i200
χ3122-2-2-2-22222-2-2002200-2-2002-2000000000000000-22-22i2i2−i2−i2i2i2−i2−i200000000−i2i2−i2i200
χ3222-2-2-2-22222-2-2002200-2-2002-2000000000000000-22-22−i2−i2i2i2−i2−i2i2i200000000i2−i2i2−i200
χ3322-2-2-2-222-2-222002200-2-200-220000000000000002-2-22i2i2−i2−i2−i2−i2i2i200000000i2−i2−i2i200
χ3422-2-2-2-222-2-222002200-2-200-220000000000000002-2-22−i2−i2i2i2i2i2−i2−i200000000−i2i2i2−i200
χ3522-2-2-2-222-2-222002200-2-200-22000000000000000-222-2i2i2−i2−i2−i2−i2i2i200000000−i2i2i2−i200
χ3622-2-2-2-222-2-222002200-2-200-22000000000000000-222-2−i2−i2i2i2i2i2−i2−i200000000i2−i2−i2i200
χ372-2-222-22-22-22-22200-2-2002-200000000000002i−2i2i−2i00002−22−22−22−20000i2−i2i2−i2000000
χ382-2-222-22-22-22-22200-2-2002-200000000000002i−2i2i−2i0000−22−22−22−220000−i2i2−i2i2000000
χ392-2-222-22-22-22-22200-2-2002-20000000000000−2i2i−2i2i00002−22−22−22−20000−i2i2−i2i2000000
χ402-2-222-22-22-22-22200-2-2002-20000000000000−2i2i−2i2i0000−22−22−22−220000i2−i2i2−i2000000
χ412-2-222-22-2-22-222200-2-200-2200000000000002i−2i−2i2i00002−22−2−22−220000i2−i2−i2i2000000
χ422-2-222-22-2-22-222200-2-200-2200000000000002i−2i−2i2i0000−22−222−22−20000−i2i2i2−i2000000
χ432-2-222-22-2-22-222200-2-200-220000000000000−2i2i2i−2i00002−22−2−22−220000−i2i2i2−i2000000
χ442-2-222-22-2-22-222200-2-200-220000000000000−2i2i2i−2i0000−22−222−22−20000i2−i2−i2i2000000
χ45444-44-4-4-400004-4004-400000000004-400000000000000000000000000000000000
χ46444-44-4-4-400004-4004-40000000000-4400000000000000000000000000000000000
χ47444-44-4-4-40000-4400-44000000004-40000000000000000000000000000000000000
χ48444-44-4-4-40000-4400-4400000000-440000000000000000000000000000000000000
χ4944-4-4-4-44444-4-400-4-4004400-4400000000000000000000000000000000000000000
χ5044-4-4-4-444-4-44400-4-40044004-400000000000000000000000000000000000000000
χ514-444-4-4-440000004-4004-400000000000004i−4i000000000000000000000000000000
χ524-444-4-4-440000004-4004-40000000000000−4i4i000000000000000000000000000000
χ534-444-4-4-44000000-4400-44000000000004i−4i00000000000000000000000000000000
χ544-444-4-4-44000000-4400-4400000000000−4i4i00000000000000000000000000000000
χ554-44-4-444-44-4-4400000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ564-44-4-444-44-4-440000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ574-44-4-444-4-444-400000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ584-44-4-444-4-444-40000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ594-4-444-44-44-44-4-4-4004400-440000000000000000000000000000000000000000000
χ604-4-444-44-4-44-44-4-40044004-40000000000000000000000000000000000000000000
χ614-4-4-444-4400004-44-4-44-4400004-4000000000000000000000000000000000000000
χ624-4-4-444-4400004-4-44-444-40000-44000000000000000000000000000000000000000
χ634-4-4-444-440000-444-44-4-440000-44000000000000000000000000000000000000000
χ644-4-4-444-440000-44-444-44-400004-4000000000000000000000000000000000000000
χ6588-88-88-8-8000000000000000000000000000000000000000000000000000000000

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