Finite Group Databasebeta

← Group #180473

Character table — Group #180473

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424888888884444444444448888888844
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111-1-1-1-111-1-1-11-11111-1-1-1-1-1-1
χ31111111111111111111111111111-111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-111
χ41111111111111111111111111111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1
χ511111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-11-1-1-1-1-1111111
χ711111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1111111111-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-111
χ9111111111-1-1-1-111111-1-11111-1-1-1-111-11-11-111-1-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-1-11111-1-1-1-11-11-111-1-1-11-1111-1-1-1-111-11
χ11111111111-1-1-1-111111-1-11111-1-1-1-1-11-1-11-111-111-1-1-111-1-1111-1
χ12111111111-1-1-1-111111-1-11111-1-1-1-1-1-111-1-11-11-111-1-11111-1-1-11
χ13111111111-1-1-1-111111-1-1-1-1-1-1111111-11-11-111-1-1-1-1-111-1-111-11
χ14111111111-1-1-1-111111-1-1-1-1-1-111111-11-111-1-1-11-11-1-11111-1-11-1
χ15111111111-1-1-1-111111-1-1-1-1-1-11111-11-1-11-111-111-111-1-111-1-1-11
χ16111111111-1-1-1-111111-1-1-1-1-1-11111-1-111-1-11-11-11111-1-1-1-1111-1
χ1722222222222-2-2-2-2-2-222-20000000020000-2-2000200000000000
χ1822222222222-2-2-2-2-2-222-200000000-2000022000-200000000000
χ19222222222-2-222-2-2-2-22-220000000020000-22000-200000000000
χ20222222222-2-222-2-2-2-22-2200000000-200002-2000200000000000
χ2122222222-22222-2-222-2-2-2000000000220000-2000-20000000000
χ2222222222-22222-2-222-2-2-2000000000-2-20000200020000000000
χ2322222222-222-2-222-2-2-2-220000000000022000-2-2000000000000
χ2422222222-222-2-222-2-2-2-2200000000000-2-200022000000000000
χ2522222222-2-2-22222-2-2-22-2000000000002-2000-22000000000000
χ2622222222-2-2-22222-2-2-22-200000000000-220002-2000000000000
χ2722222222-2-2-2-2-2-2-222-2220000000002-20000-200020000000000
χ2822222222-2-2-2-2-2-2-222-222000000000-2200002000-20000000000
χ29444-4-44-4-4000004-40000000002222−22−220000000000000000000000
χ30444-4-44-4-4000004-4000000000−22−2222220000000000000000000000
χ31444-4-44-4-400000-44000002222−22−2200000000000000000000000000
χ32444-4-44-4-400000-4400000−22−22222200000000000000000000000000
χ3344-444-4-4-404-40000000000000000000000000000000002-22-200
χ3444-444-4-4-404-4000000000000000000000000000000000-22-2200
χ3544-444-4-4-40-440000000000000000000000000000000002-2-2200
χ3644-444-4-4-40-44000000000000000000000000000000000-222-200
χ3744-4-4-4-44400000004-4000000000000000000000002i2−2i200000000
χ3844-4-4-4-44400000004-400000000000000000000000−2i22i200000000
χ3944-4-4-4-4440000000-4400000000000000000000000002i2−2i2000000
χ4044-4-4-4-4440000000-440000000000000000000000000−2i22i2000000
χ414-444-4-44-4400000000-40022−2222−2200000000000000000000000000
χ424-444-4-44-4400000000-400−2222−222200000000000000000000000000
χ434-444-4-44-4-40000000040000002i2−2i22i2−2i20000000000000000000000
χ444-444-4-44-4-4000000004000000−2i22i2−2i22i20000000000000000000000
χ454-44-44-4-440004i−4i00000002-2-222i−2i−2i2i0000000000000000000000
χ464-44-44-4-440004i−4i0000000-222-2−2i2i2i−2i0000000000000000000000
χ474-44-44-4-44000−4i4i00000002-2-22−2i2i2i−2i0000000000000000000000
χ484-44-44-4-44000−4i4i0000000-222-22i−2i−2i2i0000000000000000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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