Finite Group Databasebeta

← Group #478249

Character table — Group #478249

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122222222222222888816161616161616161616161616161616161616161616161616161616
order12222222222222222222222444444444444444444444444444
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
χ51111111111111111111111-1-1-1-111-1-1111111-1-111-1-1-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-111-1-111-1-111-1-11111-1-11111-1-1-1-1-1-1
χ10111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111
χ11111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111
χ12111111111111111111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-1
χ13111111111111111111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-111-1-111
χ14111111111111111111-1-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111-1-1
χ15111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-11111-1-1
χ16111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-1111111-1-1-1-111
χ172222222222-2-2-2-2-2-2-2-222-2-22-22-2000000000000000000000000
χ182222222222-2-2-2-2-2-2-2-222-2-2-22-22000000000000000000000000
χ192222222222-2-2-2-2-2-2-2-2-2-2222-2-22000000000000000000000000
χ202222222222-2-2-2-2-2-2-2-2-2-222-222-2000000000000000000000000
χ2122-2-2222-2-2-22-222-2-22-2000000000000002i−2i2i−2i002-20000000000
χ2222-2-2222-2-2-22-222-2-22-2000000000000002i−2i−2i2i00-220000000000
χ2322-2-2222-2-2-22-222-2-22-200000000000000−2i2i2i−2i00-220000000000
χ2422-2-2222-2-2-22-222-2-22-200000000000000−2i2i−2i2i002-20000000000
χ2522-2-22-2-222-2-2222-2-2-220000000000002i−2i00002i−2i002-200000000
χ2622-2-22-2-222-2-2222-2-2-220000000000002i−2i0000−2i2i00-2200000000
χ2722-2-22-2-222-2-2222-2-2-22000000000000−2i2i00002i−2i00-2200000000
χ2822-2-22-2-222-2-2222-2-2-22000000000000−2i2i0000−2i2i002-200000000
χ2922-2-2-22-22-22-2-22-22-22200000000002-20000000000002-2002-200
χ3022-2-2-22-22-22-2-22-22-22200000000002-2000000000000-2200-2200
χ3122-2-2-22-22-22-2-22-22-2220000000000-220000000000002-200-2200
χ3222-2-2-22-22-22-2-22-22-2220000000000-22000000000000-22002-200
χ3322-2-2-2-22-222-2-2-22-2222000000002-200000000000000002-2002-2
χ3422-2-2-2-22-222-2-2-22-2222000000002-20000000000000000-2200-22
χ3522-2-2-2-22-222-2-2-22-222200000000-2200000000000000002-200-22
χ3622-2-2-2-22-222-2-2-22-222200000000-220000000000000000-22002-2
χ3744444-4-4-4-4444-4-4-4-44400000000000000000000000000000000
χ3844444-4-4-4-44-4-44444-4-400000000000000000000000000000000
χ394444-44-4-44-44-4-444-4-4400000000000000000000000000000000
χ404444-44-4-44-4-444-4-444-400000000000000000000000000000000
χ414444-4-444-4-44-44-4-44-4400000000000000000000000000000000
χ424444-4-444-4-4-44-444-44-400000000000000000000000000000000
χ4344-4-4444-4-4-4-44-4-444-4400000000000000000000000000000000
χ4444-4-44-4-444-44-4-4-4444-400000000000000000000000000000000
χ4544-4-4-44-44-4444-44-44-4-400000000000000000000000000000000
χ4644-4-4-4-44-444444-44-4-4-400000000000000000000000000000000
χ478-88-800000000000000004-40000000000000000000000000000
χ488-88-80000000000000000-440000000000000000000000000000
χ498-8-88000000000000004-4000000000000000000000000000000
χ508-8-8800000000000000-44000000000000000000000000000000

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