Finite Group Databasebeta

← Group #499220

Character table — Group #499220

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111122222244444444444488888888888816161616161616161616161616161616161616161616
order12222222222222222244444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ3111111111111111111111111111111-1-1-1-11-1-1-11-111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-11-1-1-11-1-111-1-1-1-11111-1-1-1-1
χ51111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111-1-1-1-1-1-111111111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1111111-1-1-1-11111
χ911111-1-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1-1111-1-1-11-11-111-1-111-1-111-1-1
χ1011111-1-1-1-1111-1-1-1-1111-1-1111-1-111-1-111-1-1-1-11-111-11-11-1-111-1-11111-1-1
χ1111111-1-1-1-1111-1-1-1-1111-1-1111-1-111-1-1-1-1111-1-11-111-1-1111-1-1-1-111-1-111
χ1211111-1-1-1-1111-1-1-1-1111-1-1111-1-111-1-1-1-111-11-111-1-111-1-1-11111-1-1-1-111
χ1311111-1-1-1-1111-1-1-1-1111-1-11-1-111-1-11111-1-1111-1-1-11-11-1-1-111-1-111-1-111
χ1411111-1-1-1-1111-1-1-1-1111-1-11-1-111-1-11111-1-1-1-11-111-11-1111-1-111-1-1-1-111
χ1511111-1-1-1-1111-1-1-1-1111-1-11-1-111-1-111-1-1111-1-11-111-1-11-1-11111-1-111-1-1
χ1611111-1-1-1-1111-1-1-1-1111-1-11-1-111-1-111-1-111-11-111-1-111-111-1-1-1-11111-1-1
χ1722222222222-222-2-22-2-2-2-2-200000000000002000200-2-2000000000000
χ1822222222222-222-2-22-2-2-2-2-20000000000000-2000-20022000000000000
χ192222222222-22-2-222-22-2-2-2-2000000000000200020-2-200000000000000
χ202222222222-22-2-222-22-2-2-2-2000000000000-2000-202200000000000000
χ212222222222-2-2-2-2-2-2-2-2222200000000222200-2-2000000000000000000
χ222222222222-2-2-2-2-2-2-2-2222200000000-2-2-2-20022000000000000000000
χ2322222-2-2-2-222-2-2-2222-2-222-200000000000002000-200-22000000000000
χ2422222-2-2-2-222-2-2-2222-2-222-20000000000000-20002002-2000000000000
χ2522222-2-2-2-22-2222-2-2-22-222-20000000000002000-20-2200000000000000
χ2622222-2-2-2-22-2222-2-2-22-222-2000000000000-2000202-200000000000000
χ2722222-2-2-2-22-2-22222-2-22-2-220000000022-2-200-22000000000000000000
χ2822222-2-2-2-22-2-22222-2-22-2-2200000000-2-222002-2000000000000000000
χ2922-2-2222-2-2-2222-22-2-2-2-22-220000000000000000000000000000002-22-2
χ3022-2-2222-2-2-2222-22-2-2-2-22-22000000000000000000000000000000-22-22
χ3122-2-2222-2-2-22-22-2-22-222-22-200000000000000000000002-22-200000000
χ3222-2-2222-2-2-22-22-2-22-222-22-20000000000000000000000-22-2200000000
χ3322-2-2222-2-2-2-22-222-22-22-22-2000000000000000000000000002-22-20000
χ3422-2-2222-2-2-2-22-222-22-22-22-200000000000000000000000000-22-220000
χ3522-2-2222-2-2-2-2-2-22-2222-22-222i−2i2i−2i2i−2i2i−2i00000000000000000000000000
χ3622-2-2222-2-2-2-2-2-22-2222-22-22−2i2i−2i2i−2i2i−2i2i00000000000000000000000000
χ3722-2-22-2-222-222-22-22-2-2-2-2220000000000000000000000000000002-2-22
χ3822-2-22-2-222-222-22-22-2-2-2-222000000000000000000000000000000-222-2
χ3922-2-22-2-222-22-2-222-2-2222-2-200000000000000000000002-2-2200000000
χ4022-2-22-2-222-22-2-222-2-2222-2-20000000000000000000000-222-200000000
χ4122-2-22-2-222-2-222-2-222-222-2-2000000000000000000000000002-2-220000
χ4222-2-22-2-222-2-222-2-222-222-2-200000000000000000000000000-222-20000
χ4322-2-22-2-222-2-2-22-22-222-2-2222i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ4422-2-22-2-222-2-2-22-22-222-2-222−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ454444-44-44-4-40000000000002222-2-2-2-200000000000000000000000000
χ464444-44-44-4-4000000000000-2-2-2-2222200000000000000000000000000
χ474444-4-44-44-400000000000022-2-2-2-22200000000000000000000000000
χ484444-4-44-44-4000000000000-2-22222-2-200000000000000000000000000
χ4944-4-4-44-4-4440000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ5044-4-4-44-4-444000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ5144-4-4-4-444-440000000000002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ5244-4-4-4-444-44000000000000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ538-88-800000000000000000000000000004i−4i0000000000000000000000
χ548-88-80000000000000000000000000000−4i4i0000000000000000000000
χ558-8-88000000000000000000000000004-4000000000000000000000000
χ568-8-8800000000000000000000000000-44000000000000000000000000

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