Finite Group Databasebeta

← Group #175976

Character table — Group #175976

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-111-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-111-1-1-111-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111-1-11-1-1-1-11-1-1-1-111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-111111111
χ9111111111-1-11-1-11111-111-1-1-11-111-11-11-1-111-1-111-1-111-1-111-1-1
χ10111111111-1-11-1-11111-111-1-1-11-111-11-11-1-1-1-111-1-111-1-111-1-111
χ11111111111-1-11-1-11111-111-1-1-1-11-11-1-11-11111-1-1-1-11111-1-1-1-111
χ12111111111-1-11-1-11111-111-1-1-1-11-11-1-11-111-1-11111-1-1-1-11111-1-1
χ13111111111-1-11-1-11111-1-1-1-1111-1-1-111-1-11111-1-1-1-111-1-11111-1-1
χ14111111111-1-11-1-11111-1-1-1-1111-1-1-111-1-111-1-11111-1-111-1-1-1-111
χ15111111111-1-11-1-11111-1-1-1-111-111-11-111-1-111-1-111-1-1-1-111-1-111
χ16111111111-1-11-1-11111-1-1-1-111-111-11-111-1-1-1-111-1-11111-1-111-1-1
χ1722222222222-222-2-22-2-200-20022000-2-20000000000000000000
χ1822222222222-222-2-22-2-200-200-2-2000220000000000000000000
χ19222222222-2-2-2-2-2-2-22-22002002-2000-220000000000000000000
χ20222222222-2-2-2-2-2-2-22-2200200-220002-20000000000000000000
χ2122222222-2222-2-2-2-2-22222-222000-2-2000000000000000000000
χ2222222222-2222-2-2-2-2-222-2-2-2-2-200022000000000000000000000
χ2322222222-222-2-2-222-2-2-2002000020000-22-20000000000000000
χ2422222222-222-2-2-222-2-2-20020000-200002-220000000000000000
χ2522222222-2-2-2222-2-2-22-2222-2-2000-22000000000000000000000
χ2622222222-2-2-2222-2-2-22-2-2-22220002-2000000000000000000000
χ2722222222-2-2-2-22222-2-2200-2000020000-2-220000000000000000
χ2822222222-2-2-2-22222-2-2200-20000-2000022-20000000000000000
χ29444-44-4-4-440000000-4000000000000000000000000022−22000000
χ30444-44-4-4-440000000-40000000000000000000000000−2222000000
χ31444-44-4-4-4-4000000040000000000000000000000000002i2−2i20000
χ32444-44-4-4-4-400000004000000000000000000000000000−2i22i20000
χ3344-4-4-444-404i−4i000000000000000000000002i−2i2-2000000000000
χ3444-4-4-444-404i−4i00000000000000000000000−2i2i-22000000000000
χ3544-4-4-444-40−4i4i000000000000000000000002i−2i-22000000000000
χ3644-4-4-444-40−4i4i00000000000000000000000−2i2i2-2000000000000
χ374-44-4-44-440000004-40000000000000000000000000000002i2−2i200
χ384-44-4-44-440000004-4000000000000000000000000000000−2i22i200
χ394-44-4-44-44000000-44000000000000000000000000000000002i2−2i2
χ404-44-4-44-44000000-4400000000000000000000000000000000−2i22i2
χ414-4-4444-4-400004i−4i0000000000000000000000002-22i−2i00000000
χ424-4-4444-4-400004i−4i000000000000000000000000-22−2i2i00000000
χ434-4-4444-4-40000−4i4i0000000000000000000000002-2−2i2i00000000
χ444-4-4444-4-40000−4i4i000000000000000000000000-222i−2i00000000
χ454-4-4-44-444000400000-404i−4i00000000000000000000000000000
χ464-4-4-44-444000400000-40−4i4i00000000000000000000000000000
χ474-4-4-44-444000-400000400004-400000000000000000000000000
χ484-4-4-44-444000-40000040000-4400000000000000000000000000
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-8-88-8000000000000000000000000000000000000000000

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