Finite Group Databasebeta

← Group #250724

Character table — Group #250724

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222244448888888888888816161616161616161616161616161616161616161632
order12222244444444224444444444882222444488888888888884
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111-111-1-1-1-1111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-11-1-111-111-1-1-1-1-1-1-1-1-11111-1
χ41111111111111111111111-1-1-1-1-1-11-1-1-11-1-1-111-1-1-11111-1-1-1-11
χ5111111111111111111-1-1-1-1111111-11-11-1-111111-1-1-1-1-1-1-1-1-1-11
χ6111111111111111111-1-1-1-111-1-111-11-1-1-1-1-1-1-1-11-1-111111111-1
χ7111111111111111111-1-1-1-1-1-111-1-1-1-111-1111-1-1-1111111-1-1-1-1-1
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-111-1-1-1-111111
χ911111111111111-1-1-1-111111111-1-1-1111-11-1-1-1-1-1-1-111-1-111-1-11
χ1011111111111111-1-1-1-1111111-1-1-1-1-111-1-111111-1-1-1-1-111-1-111-1
χ1111111111111111-1-1-1-11111-1-11111-1-1-11-1-1-1-111111-1-11111-1-1-1
χ1211111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-111111-1-1-1-1111
χ1311111111111111-1-1-1-1-1-1-1-11111-1-111-111-1-1-1-1-1-111-1-111-1-1111
χ1411111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-11111-11111-1-111-1-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-111111-11111-1-1111-1-111-1-1-1-111-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-11-11111-1-11-1-1-1-11111-1-11
χ172222222222-2-2-2-222-2-200002200-2-20-200000000200000000000
χ182222222222-2-2-2-222-2-20000-2-200220200000000-200000000000
χ192222222222-2-2-2-2-2-22200002200220-200000000-200000000000
χ202222222222-2-2-2-2-2-2220000-2-200-2-20200000000200000000000
χ21222222-2-2-2-2-22-22000022-2-2002200000-200000000000002-2000
χ22222222-2-2-2-2-22-22000022-2-200-2-20000020000000000000-22000
χ23222222-2-2-2-2-22-220000-2-222002200000-20000000000000-22000
χ24222222-2-2-2-2-22-220000-2-22200-2-200000200000000000002-2000
χ252222-2-22-22-2-2-22200002-22-20000000000002-2000000000002-20
χ262222-2-22-22-2-2-22200002-22-2000000000000-2200000000000-220
χ272222-2-22-22-2-2-2220000-22-220000000000002-200000000000-220
χ282222-2-22-22-2-2-2220000-22-22000000000000-22000000000002-20
χ292222-2-2-22-222-2-222-22-22-2-220000002000-200000000000000000
χ302222-2-2-22-222-2-222-22-2-222-2000000-2000200000000000000000
χ312222-2-2-22-222-2-22-22-222-2-22000000-2000200000000000000000
χ322222-2-2-22-222-2-22-22-22-222-20000002000-200000000000000000
χ332222-2-2-22-22-222-22-2-22000000000000200-2000002-2000000000
χ342222-2-2-22-22-222-22-2-22000000000000-200200000-22000000000
χ352222-2-2-22-22-222-2-222-2000000000000200-200000-22000000000
χ362222-2-2-22-22-222-2-222-2000000000000-2002000002-2000000000
χ37444444-4-4-4-44-44-4000000000000000000000000000000000000
χ384444-4-44-44-444-4-4000000000000000000000000000000000000
χ394-4-444-444-4-40000000000004i−4i00000000000000000000000000
χ404-4-444-444-4-4000000000000−4i4i00000000000000000000000000
χ414-4-444-4-4-444000000000000000000000000000000022−220000000
χ424-4-444-4-4-4440000000000000000000000000000000−22220000000
χ434-4-44-444-4-4400000000000000000000000000000000022−2200000
χ444-4-44-444-4-44000000000000000000000000000000000−222200000
χ454-4-44-44-444-400000000000000004-40000000000000000000000
χ464-4-44-44-444-40000000000000000-440000000000000000000000
χ4788-8-8000000000000000000000000000000002i2−2i2000000000000
χ4888-8-800000000000000000000000000000000−2i22i2000000000000
χ498-88-8000000000000000000004i−4i000000000000000000000000
χ508-88-800000000000000000000−4i4i000000000000000000000000

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