Finite Group Databasebeta

← Group #512031

Character table — Group #512031

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53
size111122444444444444888888888888888888888888816161616323232323232
order12222222224444444422444444444444444444444444444444488
χ111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1
χ4111111111111111111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-11-11-1
χ6111111111111111-1-111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-11-11
χ7111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-11-1-11-11
χ8111111111111111-1-11-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-111-11-1
χ911111111111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-111-1-111-1-11111-1-111-1-1
χ1011111111111-1-1-1-111111-1-1111-1-111-1-1-1-1-1-111-1-111-1-1-1-1-1-111-1-111
χ1111111111111-1-1-1-1111-1-111111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-111
χ1211111111111-1-1-1-1111-1-111111-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1
χ1311111111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-111-1-11
χ1411111111111-1-1-1-1-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1111-1-111-1
χ1511111111111-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-111-1-11111-1-111-1-1-11-111-1
χ1611111111111-1-1-1-1-1-11-1-111-1-1-11111-1-1-1-111-1-11111-1-1-1-1111-11-1-11
χ172222222-22-2-2000022-222002-2-20022000000-2-200-2-2000000000000
χ182222222-22-2-2000022-2-2-2002-2-200-2-2000000220022000000000000
χ192222222-22-2-20000-2-2-22200-22200-2-2000000-2-20022000000000000
χ202222222-22-2-20000-2-2-2-2-200-22200220000002200-2-2000000000000
χ21222222-22-22-2222222-20000-22-2220000-2-2-2-2000000000000000000
χ22222222-22-22-22222-2-2-200002-22-2-20000-2-222000000000000000000
χ23222222-22-22-2-2-2-2-222-20000-22-2-2-200002222000000000000000000
χ24222222-22-22-2-2-2-2-2-2-2-200002-2222000022-2-2000000000000000000
χ25222222-2-2-2-2200002220022-2-22000022000000-2-200-2-20000000000
χ26222222-2-2-2-22000022200-2-2-2-220000-2-20000002200220000000000
χ27222222-2-2-2-220000-2-22002222-20000-2-2000000-2-200220000000000
χ28222222-2-2-2-220000-2-2200-2-222-20000220000002200-2-20000000000
χ2922-2-22-222-2-2222-2-200-22-22-20000000002-2002-22-200000000000000
χ3022-2-22-222-2-2222-2-200-2-22-220000000002-200-22-2200000000000000
χ3122-2-22-222-2-22-2-22200-22-2-22000000000-22002-2-2200000000000000
χ3222-2-22-222-2-22-2-22200-2-222-2000000000-2200-222-200000000000000
χ3322-2-22-22-2-22-200000022-2000002i−2i002i−2i002i−2i-2200002i−2i0000000000
χ3422-2-22-22-2-22-200000022-200000−2i2i00−2i2i00−2i2i-220000−2i2i0000000000
χ3522-2-22-22-2-22-20000002-22000002i−2i00−2i2i002i−2i2-20000−2i2i0000000000
χ3622-2-22-22-2-22-20000002-2200000−2i2i002i−2i00−2i2i2-200002i−2i0000000000
χ3722-2-22-2-222-2-222-2-20020000000002i−2i2i−2i-220000002i−2i−2i2i0000000000
χ3822-2-22-2-222-2-222-2-2002000000000−2i2i−2i2i-22000000−2i2i2i−2i0000000000
χ3922-2-22-2-222-2-2-2-2220020000000002i−2i−2i2i2-20000002i−2i2i−2i0000000000
χ4022-2-22-2-222-2-2-2-222002000000000−2i2i2i−2i2-2000000−2i2i−2i2i0000000000
χ4122-2-22-2-2-2222000000-2002-20002i−2i2i−2i0000−2i2i00-22−2i2i000000000000
χ4222-2-22-2-2-2222000000-2002-2000−2i2i−2i2i00002i−2i00-222i−2i000000000000
χ4322-2-22-2-2-2222000000-200-220002i−2i−2i2i0000−2i2i002-22i−2i000000000000
χ4422-2-22-2-2-2222000000-200-22000−2i2i2i−2i00002i−2i002-2−2i2i000000000000
χ454444-4-40000000004-4000000000000000000000000002-22-2000000
χ464444-4-40000000004-400000000000000000000000000-22-22000000
χ474444-4-4000000000-44000000000000000000000000002-2-22000000
χ484444-4-4000000000-4400000000000000000000000000-222-2000000
χ4988-8-8-8800000000000000000000000000000000000000000000000
χ508-88-800000004i−4i4i−4i00000000000000000000000000000000000000
χ518-88-80000000−4i4i−4i4i00000000000000000000000000000000000000
χ528-8-8800000004i−4i−4i4i00000000000000000000000000000000000000
χ538-8-880000000−4i4i4i−4i00000000000000000000000000000000000000

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