Finite Group Databasebeta

← Group #476492

Character table — Group #476492

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size11222222222222222161616161616161616161616161616161616161616161616161616161616
order12222222244444444222444444444448888888888888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1
χ31111111111111111111-111-1111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1
χ41111111111111111111-111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111
χ5111111111111111111-111-111111-1-111-1-1-1-1-1-111-1-1-1-111-1-1
χ6111111111111111111-111-11-1-1-1-111-1-1-1-111-1-111-1-111-1-111
χ7111111111111111111-1-11-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1
χ911111111111111111-111-11111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111
χ1011111111111111111-111-111-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ1111111111111111111-11-1-11-111-1-111-1-11111-1-111-1-1-1-111-1-1
χ1211111111111111111-11-1-11-1-1-111-1-11111-1-1-1-111-1-111-1-111
χ1311111111111111111-1-11-1-1111-1-1-1-111111111-1-1-1-111-1-1-1-1
χ1411111111111111111-1-11-1-11-1-11111-1-111-1-111-1-1-1-1-1-11111
χ1511111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111
χ1611111111111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-1-1-1
χ17222222222-2-2-2-2-2-2-2-20000002-20000002i−2i2i−2i000000000000
χ18222222222-2-2-2-2-2-2-2-20000002-2000000−2i2i−2i2i000000000000
χ19222222222-2-2-2-2-2-2-2-2000000-220000002i−2i−2i2i000000000000
χ20222222222-2-2-2-2-2-2-2-2000000-22000000−2i2i2i−2i000000000000
χ2122222-2-2-2-2-2-2-22-22220000000000000000002-22-22-2000000
χ2222222-2-2-2-2-2-2-22-22220000000000000000002-2-22-22000000
χ2322222-2-2-2-2-2-2-22-2222000000000000000000-222-2-22000000
χ2422222-2-2-2-2-2-2-22-2222000000000000000000-22-222-2000000
χ25222-2-2-222-22-2-2-2222-200200-200002-200000000000000002-2
χ26222-2-2-222-22-2-2-2222-200200-20000-220000000000000000-22
χ27222-2-2-222-22-2-2-2222-200-200200002-20000000000000000-22
χ28222-2-2-222-22-2-2-2222-200-20020000-2200000000000000002-2
χ2922-22-2-22-22-22-2-222-220200-20002-2000000000000002-20000
χ3022-22-2-22-22-22-2-222-220200-2000-2200000000000000-220000
χ3122-22-2-22-22-22-2-222-220-20020002-200000000000000-220000
χ3222-22-2-22-22-22-2-222-220-2002000-22000000000000002-20000
χ3322-2-22-2-222-2-22-22-222200-2000000002-20000000000002-200
χ3422-2-22-2-222-2-22-22-222200-200000000-22000000000000-2200
χ3522-2-22-2-222-2-22-22-222-2002000000002-2000000000000-2200
χ3622-2-22-2-222-2-22-22-222-200200000000-220000000000002-200
χ3744444-4-4-4-4444-44-4-4-4000000000000000000000000000000
χ38444-4-44-4-444-4-444-4-44000000000000000000000000000000
χ39444-4-44-4-44-444-4-444-4000000000000000000000000000000
χ40444-4-4-444-4-4444-4-4-44000000000000000000000000000000
χ4144-44-44-44-44-44-4-44-44000000000000000000000000000000
χ4244-44-44-44-4-44-444-44-4000000000000000000000000000000
χ4344-44-4-44-444-444-4-44-4000000000000000000000000000000
χ4444-4-4444-4-444-4-4-4-444000000000000000000000000000000
χ4544-4-4444-4-4-4-44444-4-4000000000000000000000000000000
χ4644-4-44-4-44444-44-44-4-4000000000000000000000000000000
χ4716-16000000000000000000000000000000000000000000000

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