Finite Group Databasebeta

← Group #479849

Character table — Group #479849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444444444444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-111-1-111-1-111-1-111-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ9111111111111111111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ10111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111
χ13111111111111111111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11111
χ15111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-111-1-111-1-111111111-1-111-1-1-1-1-1-1
χ172222222222-2-2-2-2-2-2-2-200002-20000000000002i−2i000000002i−2i00
χ182222222222-2-2-2-2-2-2-2-200002-2000000000000−2i2i00000000−2i2i00
χ192222222222-2-2-2-2-2-2-2-20000-220000000000002i−2i00000000−2i2i00
χ202222222222-2-2-2-2-2-2-2-20000-22000000000000−2i2i000000002i−2i00
χ2122222-2-22-2-222-22-22-2-2000000002-200002i−2i000000000000002i−2i
χ2222222-2-22-2-222-22-22-2-2000000002-20000−2i2i00000000000000−2i2i
χ2322222-2-22-2-222-22-22-2-200000000-2200002i−2i00000000000000−2i2i
χ2422222-2-22-2-222-22-22-2-200000000-220000−2i2i000000000000002i−2i
χ252222-22-2-22-22-222-2-22-222-2-2000000002i−2i00000000002i−2i000000
χ262222-22-2-22-22-222-2-22-222-2-200000000−2i2i0000000000−2i2i000000
χ272222-22-2-22-22-222-2-22-2-2-222000000002i−2i0000000000−2i2i000000
χ282222-22-2-22-22-222-2-22-2-2-22200000000−2i2i00000000002i−2i000000
χ2922-2-2222-2-2-22-22-222-2-200000000000000002-200002-2002-20000
χ3022-2-2222-2-2-22-22-222-2-200000000000000002-20000-2200-220000
χ3122-2-2222-2-2-22-22-222-2-20000000000000000-2200002-200-220000
χ3222-2-2222-2-2-22-22-222-2-20000000000000000-220000-22002-20000
χ3322-2-2-2-2222-2-2-222-22-220000002i−2i002-2000000002i−2i0000000000
χ3422-2-2-2-2222-2-2-222-22-220000002i−2i00-2200000000−2i2i0000000000
χ3522-2-2-2-2222-2-2-222-22-22000000−2i2i002-200000000−2i2i0000000000
χ3622-2-2-2-2222-2-2-222-22-22000000−2i2i00-22000000002i−2i0000000000
χ3744444-4-44-4-4-4-44-44-44400000000000000000000000000000000
χ384444-44-4-44-4-44-4-444-4400000000000000000000000000000000
χ394444-4-44-4-444-4-444-4-4400000000000000000000000000000000
χ404444-4-44-4-44-444-4-444-400000000000000000000000000000000
χ4144-4-4444-4-4-4-44-44-4-44400000000000000000000000000000000
χ4244-4-44-4-4-4444-4-4-4-444400000000000000000000000000000000
χ4344-4-44-4-4-444-44444-4-4-400000000000000000000000000000000
χ4444-4-4-44-44-44444-4-4-4-4400000000000000000000000000000000
χ4544-4-4-44-44-44-4-4-44444-400000000000000000000000000000000
χ4644-4-4-4-4444-444-4-44-44-400000000000000000000000000000000
χ478-88-800000000000000004i−4i0000000000000000000000000000
χ488-88-80000000000000000−4i4i0000000000000000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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