Finite Group Databasebeta

← Group #487607

Character table — Group #487607

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size111122444488888888816161616161616161616161616161616161632323232
order12222244442244444442224444444444488888888
χ111111111111111111111111111111111111111111
χ2111111111111111111111-111-1-111-11111-1-1-1-1-1-1-1-1
χ3111111111111111-1-1111-111-111-1-11-11-1-1-1-1-1-1-1-111
χ4111111111111111-1-1111-1-11-1-1-1-1-1-1-11-1-1111111-1-1
χ51111111111111-1-11111-1-11-1-111111-1-11-1-1-1-1-111-1-1
χ61111111111111-1-11111-1-1-1-1-1-1-111-1-1-11-11111-1-111
χ71111111111111-1-1-1-111-111-1111-1-111-1-111111-1-1-1-1
χ81111111111111-1-1-1-111-11-1-11-1-1-1-1-11-1-11-1-1-1-11111
χ91111111-1-11-1-1-1111111111-1-11-11-1-1-1-1-1111-1-11-11-1
χ101111111-1-11-1-1-111111111-1-1-1-111-11-1-1-11-1-111-11-11
χ111111111-1-11-1-1-111-1-1111-11-111-1-11-11-11-1-1-111-111-1
χ121111111-1-11-1-1-111-1-1111-1-1-11-11-1111-11-111-1-11-1-11
χ131111111-1-11-1-1-1-1-11111-1-11111-11-1-111-1-1-1-1111-1-11
χ141111111-1-11-1-1-1-1-11111-1-1-111-111-1111-1-111-1-1-111-1
χ151111111-1-11-1-1-1-1-1-1-111-1111-11-1-11-1-111111-1-1-11-11
χ161111111-1-11-1-1-1-1-1-1-111-11-11-1-11-111-1111-1-1111-11-1
χ172222222222-2-220022-2-20000000-2-20002000000000
χ182222222222-2-2200-2-2-2-2000000022000-2000000000
χ192222222-2-2222-20022-2-20000000-22000-2000000000
χ202222222-2-2222-200-2-2-2-200000002-20002000000000
χ21222222-222-22-2-200002-20200200000-200-200000000
χ22222222-222-22-2-200002-20-200-200000200200000000
χ23222222-222-2-22-22200-22-200-2000000020000000000
χ24222222-222-2-22-2-2-200-2220020000000-20000000000
χ25222222-2-2-2-22-222200-22-20020000000-20000000000
χ26222222-2-2-2-22-22-2-200-22200-2000000020000000000
χ27222222-2-2-2-2-22200002-20200-200000200-200000000
χ28222222-2-2-2-2-22200002-20-200200000-200200000000
χ294444-4-404-4000000000000200-2200-2000000000000
χ304444-4-404-4000000000000-2002-2002000000000000
χ314444-4-40-44000000000000200-2-2002000000000000
χ324444-4-40-44000000000000-2002200-2000000000000
χ3344-4-4-44400-400000000000000000000000002i2−2i20000
χ3444-4-4-44400-40000000000000000000000000−2i22i20000
χ3544-4-4-44-40040000000000000000000000022−22000000
χ3644-4-4-44-400400000000000000000000000−2222000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-80000000004i−4i00000000000000000000000000
χ398-88-8000000000−4i4i00000000000000000000000000
χ408-8-88000000000004-4000000000000000000000000
χ418-8-8800000000000-44000000000000000000000000

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