Finite Group Databasebeta

← Group #504482

Character table — Group #504482

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11222222222444448888888888888161616161616161616161616161616161616163232
order1222244448844888244448888888824444488888161616161616161628
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1
χ51111111111111111-1-11-1-111-1-11111-1-111-1-1-111-1-1-1-1-1-111111-1
χ61111111111111111-1-11-1-111-1-11111-1-1-1-111-111-1-11111-1-1-1-1-11
χ71111111111111111-1-11-1-111-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-11-1
χ81111111111111111-1-11-1-111-1-1-1-1-1-111-1-111-1-1-111-1-1-1-11111-11
χ911111111111-1-111111-1-1-1-1-1-1-11111-1-111-1-11-1-11111-1-111-1-1-11
χ1011111111111-1-111111-1-1-1-1-1-1-11111-1-1-1-1111-1-111-1-111-1-1111-1
χ1111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-111-1-111-11
χ1211111111111-1-111111-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-111-1-111-1-11-1
χ1311111111111-1-1111-1-1-111-1-1111111111111-1-1-1-1-1-1-11111-1-1-1-1
χ1411111111111-1-1111-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ1511111111111-1-1111-1-1-111-1-111-1-1-1-1-1-11111-1111111-1-1-1-111-1-1
χ1611111111111-1-1111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111
χ17222222222-2-222-2-2-2222-2-2-2-2220000000000-200000000000000
χ18222222222-2-222-2-2-2-2-2222-2-2-2-20000000000200000000000000
χ19222222222-2-2-2-2-2-2-222-22222-2-20000000000-200000000000000
χ20222222222-2-2-2-2-2-2-2-2-2-2-2-222220000000000200000000000000
χ21222-2-222-2-22200-22-20002i−2i002i−2i2i2i−2i−2i2-20000000000000000000
χ22222-2-222-2-22200-22-20002i−2i002i−2i−2i−2i2i2i-220000000000000000000
χ23222-2-222-2-22200-22-2000−2i2i00−2i2i2i2i−2i−2i-220000000000000000000
χ24222-2-222-2-22200-22-2000−2i2i00−2i2i−2i−2i2i2i2-20000000000000000000
χ25222-2-222-2-2-2-2002-220002i−2i00−2i2i000000000002-22i−2i0000000000
χ26222-2-222-2-2-2-2002-220002i−2i00−2i2i00000000000-22−2i2i0000000000
χ27222-2-222-2-2-2-2002-22000−2i2i002i−2i000000000002-2−2i2i0000000000
χ28222-2-222-2-2-2-2002-22000−2i2i002i−2i00000000000-222i−2i0000000000
χ2922-22-22-22-2-2-20022-20000000002i−2i2i−2i002-2000000000002i−2i0000
χ3022-22-22-22-2-2-20022-20000000002i−2i2i−2i00-2200000000000−2i2i0000
χ3122-22-22-22-2-2-20022-2000000000−2i2i−2i2i002-200000000000−2i2i0000
χ3222-22-22-22-2-2-20022-2000000000−2i2i−2i2i00-22000000000002i−2i0000
χ3322-2-222-2-22-2-200-2220000000002-2-2200002-200000002-2000000
χ3422-2-222-2-22-2-200-2220000000002-2-220000-220000000-22000000
χ3522-2-222-2-22-2-200-222000000000-222-200002-20000000-22000000
χ3622-2-222-2-22-2-200-222000000000-222-20000-2200000002-2000000
χ3744444-4-4-4-400000000000000000000000000000000000002i2−2i200
χ3844444-4-4-4-40000000000000000000000000000000000000−2i22i200
χ39444-4-4-4-444000000000000000000000000000000022−2200000000
χ40444-4-4-4-4440000000000000000000000000000000−222200000000
χ4144-44-44-44-44400-4-440000000000000000000000000000000000
χ4244-44-4-44-44004400000-40000000000000000000000000000000
χ4344-44-4-44-4400-4-40000040000000000000000000000000000000
χ4444-4-444-4-4444004-4-40000000000000000000000000000000000
χ4544-4-44-444-400000004-400000000000000000000000000000000
χ4644-4-44-444-40000000-4400000000000000000000000000000000
χ478-8000000042−424i−4i000000002i2−2i2000000000000000000000000000
χ488-8000000042−42−4i4i00000000−2i22i2000000000000000000000000000
χ498-80000000−42424i−4i00000000−2i22i2000000000000000000000000000
χ508-80000000−4242−4i4i000000002i2−2i2000000000000000000000000000

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