Finite Group Databasebeta

← Group #326751

Character table — Group #326751

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111112222444444448816161616161616161616161616161616161616161616161616161616
order12222222222222444444242224444444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-11111-1-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-11-1-1-1-111-1-111111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ9111111111111-1-1-1-11111-1-11-1111-1-1111-11-1-1-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-11111-1-11-1111-1-1-1-11-11-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-11111-1-11-1-1-1-111111-1-111-1-1-1-11111-1-1-1-111
χ12111111111111-1-1-1-11111-1-11-1-1-1-111-1-11-1-1111111-1-1-1-11111-1-1
χ13111111111111-1-1-1-11111-1-1-111-1-11111-111-1-1-1-1-1-111-1-11111-1-1
χ14111111111111-1-1-1-11111-1-1-111-1-111-1-1-111-1-11111-1-111-1-1-1-111
χ15111111111111-1-1-1-11111-1-1-11-111-1-111-11-111-1-111-1-1-1-111-1-111
χ16111111111111-1-1-1-11111-1-1-11-111-1-1-1-1-11-11111-1-11111-1-111-1-1
χ1722222222222222-2-2-2-2-2-22-20002-22-2000000000000000000000
χ1822222222222222-2-2-2-2-2-22-2000-22-22000000000000000000000
χ19222222222222-2-222-2-2-2-2-220002-2-22000000000000000000000
χ20222222222222-2-222-2-2-2-2-22000-222-2000000000000000000000
χ2122222222-2-2-2-2222222-2-2-2-2220000000-2-200000000000000000
χ2222222222-2-2-2-2222222-2-2-2-2-2-200000002200000000000000000
χ2322222222-2-2-2-222-2-2-2-222-2200200000000-22-200000000000000
χ2422222222-2-2-2-222-2-2-2-222-2200-2000000002-2200000000000000
χ2522222222-2-2-2-2-2-222-2-2222-200200000000-2-2200000000000000
χ2622222222-2-2-2-2-2-222-2-2222-200-20000000022-200000000000000
χ2722222222-2-2-2-2-2-2-2-222-2-2222-20000000-2200000000000000000
χ2822222222-2-2-2-2-2-2-2-222-2-222-2200000002-200000000000000000
χ29444-4-44-4-40000004-400000000000002i−2i000002i−2i000000000000
χ30444-4-44-4-40000004-40000000000000−2i2i00000−2i2i000000000000
χ31444-4-44-4-4000000-4400000000000002i−2i00000−2i2i000000000000
χ32444-4-44-4-4000000-440000000000000−2i2i000002i−2i000000000000
χ3344-44-4-44-400004-40000000000000000000000002i−2i2i−2i00000000
χ3444-44-4-44-400004-4000000000000000000000000−2i2i−2i2i00000000
χ3544-44-4-44-40000-440000000000000000000000002i−2i−2i2i00000000
χ3644-44-4-44-40000-44000000000000000000000000−2i2i2i−2i00000000
χ3744-4-44-4-444-44-4000000000000000000000000000000002i2−2i20000
χ3844-4-44-4-444-44-400000000000000000000000000000000−2i22i20000
χ3944-4-44-4-44-44-440000000000000000000000000000002i2−2i2000000
χ4044-4-44-4-44-44-44000000000000000000000000000000−2i22i2000000
χ414-444-4-4-4444-4-40000000000000000000000000000000000002i2−2i2
χ424-444-4-4-4444-4-4000000000000000000000000000000000000−2i22i2
χ434-444-4-4-44-4-444000000000000000000000000000000000022−2200
χ444-444-4-4-44-4-4440000000000000000000000000000000000−222200
χ454-4-4-4-44444-4-4400004-44-4000000000000000000000000000000
χ464-4-4-4-44444-4-440000-44-44000000000000000000000000000000
χ474-4-4-4-4444-444-400004-4-44000000000000000000000000000000
χ484-4-4-4-4444-444-40000-444-4000000000000000000000000000000
χ498-88-88-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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