Finite Group Databasebeta

← Group #177907

Character table — Group #177907

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-11-1111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-111-1-1-1-111-111-111-1-1-1-1-1-1-1-11111
χ611111111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-111111111-1-1-1-1
χ711111111111111111111-1-1-1-1-1-11-11-1111-1-1111-1-1-1-11111-1-1-1-1
χ811111111111111111111-1-1-1-1-1-11-11-1-1-11-1-11-1-11111-1-1-1-11111
χ9111111111-1-1-1-111111-1-111-1-11-1111-111-11-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-11-1111-1-1-1-11-1-111-1-111-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-1-11-11-1-1111-111-1-111-1-1-1-111-1-111
χ12111111111-1-1-1-111111-1-111-1-1-11-11-1-1-1-11-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-1111-1-1-1-111111-11-1-1-1-111-1-11111-1-1
χ14111111111-1-1-1-111111-1-1-1-1111-1-1-1-11-1-111-111111-1-111-1-1-1-111
χ15111111111-1-1-1-111111-1-1-1-111-111-11111-1-11-1-1-1-1-11111-1-1-1-111
χ16111111111-1-1-1-111111-1-1-1-111-111-111-1-1-1-11-11111-1-1-1-11111-1-1
χ1722222222222-2-2-2-2-2-222-200002-20000000-22000000000000000
χ1822222222222-2-2-2-2-2-222-20000-2200000002-2000000000000000
χ19222222222-2-222-2-2-2-22-220000220000000-2-2000000000000000
χ20222222222-2-222-2-2-2-22-220000-2-2000000022000000000000000
χ2122222222-22222-2-222-2-2-222-2-2000-20200000000000000000000
χ2222222222-22222-2-222-2-2-2-2-22200020-200000000000000000000
χ2322222222-222-2-222-2-2-2-2200000020-2000-200200000000000000
χ2422222222-222-2-222-2-2-2-22000000-202000200-200000000000000
χ2522222222-2-2-22222-2-2-22-200000020-2000200-200000000000000
χ2622222222-2-2-22222-2-2-22-2000000-202000-200200000000000000
χ2722222222-2-2-2-2-2-2-222-2222222000-20-200000000000000000000
χ2822222222-2-2-2-2-2-2-222-222-2-2-2-200020200000000000000000000
χ29444-44-4-4-4400000000-400000000000000000000000022−22000000
χ30444-44-4-4-4400000000-4000000000000000000000000−2222000000
χ31444-44-4-4-4-4000000004000000000000000000000000002i2−2i20000
χ32444-44-4-4-4-400000000400000000000000000000000000−2i22i20000
χ3344-4-4-444-40004-4000000000000000002i−2i00002i−2i000000000000
χ3444-4-4-444-40004-400000000000000000−2i2i0000−2i2i000000000000
χ3544-4-4-444-4000-44000000000000000002i−2i0000−2i2i000000000000
χ3644-4-4-444-4000-4400000000000000000−2i2i00002i−2i000000000000
χ374-44-4-4-44400000004-4000004-400000000000000000000000000
χ384-44-4-4-44400000004-400000-4400000000000000000000000000
χ394-44-4-4-4440000000-440004-40000000000000000000000000000
χ404-44-4-4-4440000000-44000-440000000000000000000000000000
χ414-4-444-44-404i−4i0000000000000000000000000002-22i−2i00000000
χ424-4-444-44-404i−4i000000000000000000000000000-22−2i2i00000000
χ434-4-444-44-40−4i4i0000000000000000000000000002-2−2i2i00000000
χ444-4-444-44-40−4i4i000000000000000000000000000-222i−2i00000000
χ454-4-4-444-44000004-400000000000000000000000000000000022−22
χ464-4-4-444-44000004-4000000000000000000000000000000000−2222
χ474-4-4-444-4400000-44000000000000000000000000000000022−2200
χ484-4-4-444-4400000-440000000000000000000000000000000−222200
χ4988-88-8-8-88000000000000000000000000000000000000000000
χ508-888-88-8-8000000000000000000000000000000000000000000

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