Finite Group Databasebeta

← Group #176385

Character table — Group #176385

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444422222244442244444488888888888824
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-1-1-1-1-111-1-111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-111-1-1-1-11-11-11-11-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-111-1-1-1-11-11-11-11-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-11-111-1-1111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-11-111-1-11-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11-1111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-11111-1-1-1-1-111-1-11-11-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-111-1-1-1-1111-1-11-111-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-111-1-1-1-1111-1-11-111-1-1-11111-1-111-1-1-11
χ1722222222222222-2-2-2-2000022-2-22200-2-2000000000000000000
χ1822222222222222-2-2-2-20000-2-2-2-2-2-20022000000000000000000
χ192222222222-2-2-2-222-2-222-2-2002-2000000-220000000000000000
χ202222222222-2-2-2-222-2-2-2-222002-20000002-20000000000000000
χ212222222222-2-2-2-2-2-222000000-22002-20000-2200000000000000
χ222222222222-2-2-2-2-2-222000000-2200-2200002-200000000000000
χ2322222222-2-222-2-222-2-2222200-22000000-2-20000000000000000
χ2422222222-2-222-2-222-2-2-2-2-2-200-22000000220000000000000000
χ2522222222-2-222-2-2-2-2220000002-200220000-2-200000000000000
χ2622222222-2-222-2-2-2-2220000002-200-2-200002200000000000000
χ2722222222-2-2-2-222-2-2-2-200002222-2-200-22000000000000000000
χ2822222222-2-2-2-222-2-2-2-20000-2-22222002-2000000000000000000
χ294444-4-4-4-44i−4i0000000000000000000000000000002-22i−2i000000
χ304444-4-4-4-44i−4i000000000000000000000000000000-22−2i2i000000
χ314444-4-4-4-4−4i4i0000000000000000000000000000002-2−2i2i000000
χ324444-4-4-4-4−4i4i000000000000000000000000000000-222i−2i000000
χ3344-4-4-44-4400004-40000000000004-40000000000000000000000
χ3444-4-4-44-4400004-4000000000000-440000000000000000000000
χ3544-4-4-44-440000-44000000004-400000000000000000000000000
χ3644-4-4-44-440000-4400000000-4400000000000000000000000000
χ374-44-4-4-444004-40000000000000000000000002-22-20000000000
χ384-44-4-4-444004-4000000000000000000000000-22-220000000000
χ394-44-4-4-44400-440000000000000000000000002-2-220000000000
χ404-44-4-4-44400-44000000000000000000000000-222-20000000000
χ414-4-444-4-440000004-400004-40000000000000000000000000000
χ424-4-444-4-440000004-40000-440000000000000000000000000000
χ434-4-444-4-44000000-44004-4000000000000000000000000000000
χ444-4-444-4-44000000-4400-44000000000000000000000000000000
χ454-4-44-444-4000000004-40000000000000000000000000022−220000
χ464-4-44-444-4000000004-400000000000000000000000000−22220000
χ474-4-44-444-400000000-44000000000000000000000000000022−2200
χ484-4-44-444-400000000-440000000000000000000000000000−222200
χ4988-8-88-88-8000000000000000000000000000000000000000000
χ508-88-888-8-8000000000000000000000000000000000000000000

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