Finite Group Databasebeta

← Group #499479

Character table — Group #499479

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size11112222224444444444444444888888161616161616161616161616161616161616161616161616
order1244222444444444448888888844888822244444888888881616161616161616
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111-1-1-1-111-1-1-1-111-1-111-1-11-111-11-1-1-1-11111-1-11111-1-1-1-1
χ611111111111111-1-1-1-111-1-1-1-111-1-111-1-11-1-11-1-11111-1-111-1-1-1-1-1-11111
χ711111111111111-1-1-1-111-1-1-1-111-1-111-1-1-111-111-1-1-1-111-1-111-1-1-1-11111
χ811111111111111-1-1-1-111-1-1-1-111-1-111-1-1-11-1-11-11111-1-1-1-1111111-1-1-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-1-1-11-111-1111-1-1-1-1-1-11111-1-111-1-1
χ101111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-11-1-1-1-11111-1-111-1-111-1-111
χ111111111111-1-1-1-1111111111111-1-1-1-1-1-1-111-11111-1-1-1-111-1-1-1-111-1-111
χ121111111111-1-1-1-1111111111111-1-1-1-1-1-1-11-1-11-1-1-1111111-1-111-1-111-1-1
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-111-111-1-111-1-1-1-1-1-11111-1-1
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-11-1-11-1-111-1-11111-1-11111-1-1
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-111-1-111111111-1-1-1-111
χ17222222222222222222-2-2-2-2-2-2-2-222-2-2-2-2000000000000000000000000
χ1822222222222222-2-2-2-2-2-22222-2-2-2-2-2-222000000000000000000000000
χ192222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-2000000000000000000000000
χ2122222-2-22-2-200002i2i−2i−2i2-22i2i−2i−2i2-20000000000000000000000002i−2i002-2
χ2222222-2-22-2-200002i2i−2i−2i2-22i2i−2i−2i2-2000000000000000000000000−2i2i00-22
χ2322222-2-22-2-200002i2i−2i−2i-22−2i−2i2i2i-2200000000000000000000002-2002i−2i00
χ2422222-2-22-2-200002i2i−2i−2i-22−2i−2i2i2i-220000000000000000000000-2200−2i2i00
χ2522222-2-22-2-20000−2i−2i2i2i2-2−2i−2i2i2i2-20000000000000000000000002i−2i00-22
χ2622222-2-22-2-20000−2i−2i2i2i2-2−2i−2i2i2i2-2000000000000000000000000−2i2i002-2
χ2722222-2-22-2-20000−2i−2i2i2i-222i2i−2i−2i-2200000000000000000000002-200−2i2i00
χ2822222-2-22-2-20000−2i−2i2i2i-222i2i−2i−2i-220000000000000000000000-22002i−2i00
χ2922-2-2-22-222-200002i−2i2i−2i2-22i−2i2i−2i-22000000200-200000000002i−2i00000000
χ3022-2-2-22-222-200002i−2i2i−2i2-22i−2i2i−2i-22000000-20020000000000−2i2i00000000
χ3122-2-2-22-222-200002i−2i2i−2i-22−2i2i−2i2i2-20000000200-200000002i−2i0000000000
χ3222-2-2-22-222-200002i−2i2i−2i-22−2i2i−2i2i2-20000000-20020000000−2i2i0000000000
χ3322-2-2-22-222-20000−2i2i−2i2i2-2−2i2i−2i2i-22000000200-20000000000−2i2i00000000
χ3422-2-2-22-222-20000−2i2i−2i2i2-2−2i2i−2i2i-22000000-200200000000002i−2i00000000
χ3522-2-2-22-222-20000−2i2i−2i2i-222i−2i2i−2i2-20000000200-20000000−2i2i0000000000
χ3622-2-2-22-222-20000−2i2i−2i2i-222i−2i2i−2i2-20000000-200200000002i−2i0000000000
χ3722-2-2-2-222-2200002-2-22222-2-22-2-2000000000000002i−2i2i−2i000000000000
χ3822-2-2-2-222-2200002-2-22222-2-22-2-200000000000000−2i2i−2i2i000000000000
χ3922-2-2-2-222-2200002-2-22-2-2-222-22200000000200-22-20000000000000000
χ4022-2-2-2-222-2200002-2-22-2-2-222-22200000000-2002-220000000000000000
χ4122-2-2-2-222-220000-222-222-222-2-2-2000000000000002i−2i−2i2i000000000000
χ4222-2-2-2-222-220000-222-222-222-2-2-200000000000000−2i2i2i−2i000000000000
χ4322-2-2-2-222-220000-222-2-2-22-2-222200000000200-2-220000000000000000
χ4422-2-2-2-222-220000-222-2-2-22-2-222200000000-20022-20000000000000000
χ454444-44-4-4-4400000000000000004-40000000000000000000000000000
χ464444-44-4-4-440000000000000000-440000000000000000000000000000
χ474444-4-44-44-4000000000000000000004-4000000000000000000000000
χ484444-4-44-44-400000000000000000000-44000000000000000000000000
χ4944-4-4444-4-4-40000000000000000004i−4i00000000000000000000000000
χ5044-4-4444-4-4-4000000000000000000−4i4i00000000000000000000000000
χ5144-4-44-4-4-44444-4-4000000000000000000000000000000000000000000
χ5244-4-44-4-4-444-4-444000000000000000000000000000000000000000000
χ538-88i−8i0000004-44i−4i000000000000000000000000000000000000000000
χ548-88i−8i000000-44−4i4i000000000000000000000000000000000000000000
χ558-8−8i8i0000004-4−4i4i000000000000000000000000000000000000000000
χ568-8−8i8i000000-444i−4i000000000000000000000000000000000000000000

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