Finite Group Databasebeta

← Group #177947

Character table — Group #177947

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422222444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-11111-1-111-1-1-111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-1-111-1-1-1-111-1-1-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-1-111-11-1-111111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-11111
χ9111111111-1-1-1-111111-1-111-1-111-111-111-1-1-11-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-111-1-1-1-111-1-1-1111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-11-1111-1-1-1111-1-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-1-111-1-11-11-1-1-1-1-1111-111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-111-11-1111-11-111-1-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-111-11-1-1-11-11-111-11111-1-111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-1-111111-11-1-11-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-111111-1-1-1-111-1-11-1-111-11-1-111111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-222-2000002-20000-2200000000000000000
χ1822222222222-2-2-2-2-2-222-200000-2200002-200000000000000000
χ19222222222-2-222-2-2-2-22-2200000220000-2-200000000000000000
χ20222222222-2-222-2-2-2-22-2200000-2-200002200000000000000000
χ2122222222-2222222-2-2-2-2-222-2-2-20000200000000000000000000
χ2222222222-2222222-2-2-2-2-2-2-22220000-200000000000000000000
χ2322222222-222-2-2-2-222-2-220000000000200-22-200000000000000
χ2422222222-222-2-2-2-222-2-220000000000-2002-2200000000000000
χ2522222222-2-2-222-2-222-22-200000000002002-2-200000000000000
χ2622222222-2-2-222-2-222-22-20000000000-200-22200000000000000
χ2722222222-2-2-2-2-222-2-2-2222222-20000-200000000000000000000
χ2822222222-2-2-2-2-222-2-2-222-2-2-2-220000200000000000000000000
χ29444-44-4-4-4000004-400000004i−4i00000000000000000000000000
χ30444-44-4-4-4000004-40000000−4i4i00000000000000000000000000
χ31444-44-4-4-400000-44000004i−4i0000000000000000000000000000
χ32444-44-4-4-400000-4400000−4i4i0000000000000000000000000000
χ3344-44-44-4-404i−4i0000000000000000000000000002-22i−2i00000000
χ3444-44-44-4-404i−4i000000000000000000000000000-22−2i2i00000000
χ3544-44-44-4-40−4i4i0000000000000000000000000002-2−2i2i00000000
χ3644-44-44-4-40−4i4i000000000000000000000000000-222i−2i00000000
χ3744-4-4-4-4440004-4000000000000002-200000002-2000000000000
χ3844-4-4-4-4440004-400000000000000-220000000-22000000000000
χ3944-4-4-4-444000-44000000000000002-20000000-22000000000000
χ4044-4-4-4-444000-4400000000000000-2200000002-2000000000000
χ414-44-4-444-4400000000-40000000000000000000000002i2−2i2000000
χ424-44-4-444-4400000000-4000000000000000000000000−2i22i2000000
χ434-44-4-444-4-40000000040000000000000000000000000022−220000
χ444-44-4-444-4-400000000400000000000000000000000000−22220000
χ454-4-4-444-4400000004-40000000000000000000000000000022−2200
χ464-4-4-444-4400000004-400000000000000000000000000000−222200
χ474-4-4-444-440000000-44000000000000000000000000000000022−22
χ484-4-4-444-440000000-440000000000000000000000000000000−2222
χ498-888-8-8-88000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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