Finite Group Databasebeta

← Group #479552

Character table — Group #479552

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222224444444444442244444444448888888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-111-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1
χ4111111111111111111111111-111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111
χ51111111111111111111111-1-11-1-11-1-111-1-11111-1-11111-1-1-1-1-1-1
χ61111111111111111111111-1-11-1-11-1-1-1-111-1-111-1-1-1-1-1-1111111
χ71111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-1
χ9111111111111111111-1-1-1-1111-1-11111111-1-1-1-1-1-1-1-111-1-111-1-1
χ10111111111111111111-1-1-1-1111-1-1111-1-1-1-111-1-1-1-111-1-111-1-111
χ11111111111111111111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ12111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1
χ13111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-111
χ14111111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1
χ15111111111111111111-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-200002-200000000002i−2i0000000000002i−2i
χ182222222222-2-2-2-2-2-2-2-200002-20000000000−2i2i000000000000−2i2i
χ192222222222-2-2-2-2-2-2-2-20000-2200000000002i−2i000000000000−2i2i
χ202222222222-2-2-2-2-2-2-2-20000-220000000000−2i2i0000000000002i−2i
χ2122222-22-2-2-222-2-222-2-2000000200-2002i−2i00000000002i−2i000000
χ2222222-22-2-2-222-2-222-2-2000000200-200−2i2i0000000000−2i2i000000
χ2322222-22-2-2-222-2-222-2-2000000-2002002i−2i0000000000−2i2i000000
χ2422222-22-2-2-222-2-222-2-2000000-200200−2i2i00000000002i−2i000000
χ252222-22-22-2-22-22-22-22-222-2-200000000002i−2i00000000002i−2i0000
χ262222-22-22-2-22-22-22-22-222-2-20000000000−2i2i0000000000−2i2i0000
χ272222-22-22-2-22-22-22-22-2-2-22200000000002i−2i0000000000−2i2i0000
χ282222-22-22-2-22-22-22-22-2-2-2220000000000−2i2i00000000002i−2i0000
χ2922-2-222-2-22-2-2-2-22222-200000002i−2i02i−2i0000002-2000000000000
χ3022-2-222-2-22-2-2-2-22222-200000002i−2i0−2i2i000000-22000000000000
χ3122-2-222-2-22-2-2-2-22222-20000000−2i2i02i−2i000000-22000000000000
χ3222-2-222-2-22-2-2-2-22222-20000000−2i2i0−2i2i0000002-2000000000000
χ3322-2-2-2-2222-22-2-2-2-2222000000000000000000002-22-200002-200
χ3422-2-2-2-2222-22-2-2-2-2222000000000000000000002-2-220000-2200
χ3522-2-2-2-2222-22-2-2-2-222200000000000000000000-222-20000-2200
χ3622-2-2-2-2222-22-2-2-2-222200000000000000000000-22-2200002-200
χ3744444-44-4-4-4-4-444-4-44400000000000000000000000000000000
χ384444-44-44-4-4-44-44-44-4400000000000000000000000000000000
χ394444-4-4-4-4444-4-444-4-4400000000000000000000000000000000
χ404444-4-4-4-444-444-4-444-400000000000000000000000000000000
χ4144-4-444-4-44-4444-4-4-4-4400000000000000000000000000000000
χ4244-4-44-4-44-4444-44-4-44-400000000000000000000000000000000
χ4344-4-44-4-44-44-4-44-444-4400000000000000000000000000000000
χ4444-4-4-444-4-444-444-44-4-400000000000000000000000000000000
χ4544-4-4-444-4-44-44-4-44-44400000000000000000000000000000000
χ4644-4-4-4-4444-4-44444-4-4-400000000000000000000000000000000
χ478-88-800000000000000004i−4i0000000000000000000000000000
χ488-88-80000000000000000−4i4i0000000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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