Finite Group Databasebeta

← Group #177951

Character table — Group #177951

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-11-1-1-1-1-111-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111111-1-11-1-1-11111-11-1-1-1-1111-1-1-1-11111-1-1-1-1
χ61111111111111111111-1-11-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11111
χ71111111111111111111-1-11-1-1-1-1-111-11-1-1-1-1-1-111111-1-1-1-11111
χ81111111111111111111-1-11-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-111-1-1-11111-1-1-111-1-1-1-1111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-111-1-1-1111-11-11-1-111-1-1-111-1-1-1-111-1-111
χ11111111111-1-1-1-111111-111-1-1-11-1-11-1-1-111-1-1111-1-111-1-111-1-111
χ12111111111-1-1-1-111111-111-1-1-11-1-1-11-11-1-11111-1-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-111-1111-11-1-1-111-1-11-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-111-111-111111-1-1-1-1-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-1-1-11-11-1-1-11111111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-1-1-1-111111-1-111-111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-22200-20000000002-22-2000000000000000
χ1822222222222-2-2-2-2-2-22200-2000000000-22-22000000000000000
χ19222222222-2-222-2-2-2-22-20020000000002-2-22000000000000000
χ20222222222-2-222-2-2-2-22-2002000000000-222-2000000000000000
χ2122222222-2222222-2-2-2-222-2-2-2-20000200000000000000000000
χ2222222222-2222222-2-2-2-2-2-2-22220000-200000000000000000000
χ2322222222-222-2-2-2-222-2-2002000002-202000000-2000000000000
χ2422222222-222-2-2-2-222-2-200200000-220-20000002000000000000
χ2522222222-2-2-222-2-222-2200-200000220-2000000-2000000000000
χ2622222222-2-2-222-2-222-2200-200000-2-2020000002000000000000
χ2722222222-2-2-2-2-222-2-2-2222222-20000-200000000000000000000
χ2822222222-2-2-2-2-222-2-2-22-2-22-2-220000200000000000000000000
χ2944-44-4-4-4400000004-400000000000000000000000000000002i2−2i2
χ3044-44-4-4-4400000004-40000000000000000000000000000000−2i22i2
χ3144-44-4-4-440000000-44000000000000000000000000000002i2−2i200
χ3244-44-4-4-440000000-4400000000000000000000000000000−2i22i200
χ3344-4-444-4-4000004-400000004i−4i00000000000000000000000000
χ3444-4-444-4-4000004-40000000−4i4i00000000000000000000000000
χ3544-4-444-4-400000-4400004i−4i00000000000000000000000000000
χ3644-4-444-4-400000-440000−4i4i00000000000000000000000000000
χ374-4444-4-4-404i−4i0000000000000000000000000002-22i−2i00000000
χ384-4444-4-4-404i−4i000000000000000000000000000-22−2i2i00000000
χ394-4444-4-4-40−4i4i0000000000000000000000000002-2−2i2i00000000
χ404-4444-4-4-40−4i4i000000000000000000000000000-222i−2i00000000
χ414-4-44-444-4400000000-40000000000000000000000002i2−2i2000000
χ424-4-44-444-4400000000-4000000000000000000000000−2i22i2000000
χ434-4-44-444-4-40000000040000000000000000000000000022−220000
χ444-4-44-444-4-400000000400000000000000000000000000−22220000
χ454-4-4-44-4440004-40000000000002-2000000002-20000000000000
χ464-4-4-44-4440004-4000000000000-2200000000-220000000000000
χ474-4-4-44-444000-440000000000002-200000000-220000000000000
χ484-4-4-44-444000-44000000000000-22000000002-20000000000000
χ49888-8-8-88-8000000000000000000000000000000000000000000
χ508-88-8-88-88000000000000000000000000000000000000000000

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