Finite Group Databasebeta

← Group #512014

Character table — Group #512014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12222222224444444422222244444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ411111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ51111111111111-1-1-1-11-1-111-1-1111-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-1
χ61111111111111-1-1-1-11-1-111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1
χ81111111111111-1-1-1-11-1-1-1-111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111
χ911111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-11-11-1
χ1011111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-11-11-11
χ1111111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-11-111-1
χ1211111111111-1-11111111-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111-11-1-11
χ1311111111111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1111111-1-1-1-11111-1-11-1-11-11
χ1411111111111-1-1-1-1-1-11-1-111-1-1-1-1-111-1-1111111-1-1-1-111-1-111-111-11-1
χ1511111111111-1-1-1-1-1-11-1-1-1-111-1-1-11111-1-111-1-11111-1-111-1-1-111-1-11
χ1611111111111-1-1-1-1-1-11-1-1-1-111-1-1-11111-1-111-1-11111-1-1-1-1111-1-111-1
χ172222222-22-2-2220000-20000222-2-2000022000000-2-2-2-20000000000
χ182222222-22-2-2220000-20000-2-22-2-20000-2-200000022220000000000
χ192222222-22-2-2-2-20000-2000022-2220000-2-2000000-2-2220000000000
χ202222222-22-2-2-2-20000-20000-2-2-22200002200000022-2-20000000000
χ21222222-22-22-2220000-2002200-22-200220000-2-2-2-200000000000000
χ22222222-22-22-2220000-200-2-200-22-200-2-20000222200000000000000
χ23222222-22-22-2-2-20000-20022002-2200-2-20000-2-22200000000000000
χ24222222-22-22-2-2-20000-200-2-2002-220022000022-2-200000000000000
χ25222222-2-2-2-222222222-2-20000-2-22-2-2000022000000000000000000
χ26222222-2-2-2-2222-2-2-2-22220000-2-22220000-2-2000000000000000000
χ27222222-2-2-2-22-2-222222-2-2000022-2220000-2-2000000000000000000
χ28222222-2-2-2-22-2-2-2-2-2-2222000022-2-2-2000022000000000000000000
χ2922-2-22-222-2-220022-2-2-22-22-22-2000000000002-2002-2000000000000
χ3022-2-22-222-2-220022-2-2-22-2-22-2200000000000-2200-22000000000000
χ3122-2-22-222-2-2200-2-222-2-222-2-22000000000002-200-22000000000000
χ3222-2-22-222-2-2200-2-222-2-22-222-200000000000-22002-2000000000000
χ3322-2-22-22-2-22-2000000200002-20002i−2i2i−2i002i−2i002i−2i-22000000000000
χ3422-2-22-22-2-22-2000000200002-2000−2i2i−2i2i00−2i2i00−2i2i-22000000000000
χ3522-2-22-22-2-22-200000020000-220002i−2i−2i2i002i−2i00−2i2i2-2000000000000
χ3622-2-22-22-2-22-200000020000-22000−2i2i2i−2i00−2i2i002i−2i2-2000000000000
χ3722-2-22-2-222-2-20000002002-2000002i−2i002i−2i−2i2i-2200002i−2i0000000000
χ3822-2-22-2-222-2-20000002002-200000−2i2i00−2i2i2i−2i-220000−2i2i0000000000
χ3922-2-22-2-222-2-2000000200-22000002i−2i00−2i2i−2i2i2-20000−2i2i0000000000
χ4022-2-22-2-222-2-2000000200-2200000−2i2i002i−2i2i−2i2-200002i−2i0000000000
χ4122-2-22-2-2-22220022-2-2-2-220000000002i−2i−2i2i0000−2i2i002i−2i0000000000
χ4222-2-22-2-2-22220022-2-2-2-22000000000−2i2i2i−2i00002i−2i00−2i2i0000000000
χ4322-2-22-2-2-222200-2-222-22-20000000002i−2i2i−2i0000−2i2i00−2i2i0000000000
χ4422-2-22-2-2-222200-2-222-22-2000000000−2i2i−2i2i00002i−2i002i−2i0000000000
χ454444-4-4000004-40000000000000000000000000000002-22-2000000
χ464444-4-4000004-4000000000000000000000000000000-22-22000000
χ474444-4-400000-440000000000000000000000000000002-2-22000000
χ484444-4-400000-44000000000000000000000000000000-222-2000000
χ4988-8-8-8800000000000000000000000000000000000000000000000
χ508-88-80000000004-44-4000000000000000000000000000000000000
χ518-88-8000000000-44-44000000000000000000000000000000000000
χ528-8-880000000004-4-44000000000000000000000000000000000000
χ538-8-88000000000-444-4000000000000000000000000000000000000

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