Finite Group Databasebeta

← Group #177943

Character table — Group #177943

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444424444422244444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-11-11-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-11111-11-11-1-1-1-111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-111-11-11-1-1-1-1-1-11111-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1
χ9111111111-1-1-1-111111-1-111-1-11111-1-11-111-1-1-1-111-1-111-1-111-1-1
χ10111111111-1-1-1-111111-1-111-1-111-1-1-1111-1-111-1-111-1-1-1-111-1-111
χ11111111111-1-1-1-111111-1-111-1-1-1-111-1-11-111-1-111-1-111-1-111-1-111
χ12111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1111-1-11111-1-11111-1-111-1-1
χ13111111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-111-1-1-1-11111-1-1-1-111
χ14111111111-1-1-1-111111-1-1-1-11111-1-111-1111-1-1-1-1-1-111-1-11111-1-1
χ15111111111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-1-1111111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1111-1-11111-1-111-1-1-1-111
χ1722222222222-2-2-2-2-2-222-20000000000002-22-200000000000000
χ1822222222222-2-2-2-2-2-222-2000000000000-22-2200000000000000
χ19222222222-2-222-2-2-2-22-220000000000002-2-2200000000000000
χ20222222222-2-222-2-2-2-22-22000000000000-222-200000000000000
χ2122222222-2222222-2-2-2-2-222-2-2000020-20000000000000000000
χ2222222222-2222222-2-2-2-2-2-2-2220000-2020000000000000000000
χ2322222222-222-2-2-2-222-2-220000002-2020-2000000000000000000
χ2422222222-222-2-2-2-222-2-22000000-220-202000000000000000000
χ2522222222-2-2-222-2-222-22-20000002-20-202000000000000000000
χ2622222222-2-2-222-2-222-22-2000000-22020-2000000000000000000
χ2722222222-2-2-2-2-222-2-2-22222220000-20-20000000000000000000
χ2822222222-2-2-2-2-222-2-2-222-2-2-2-200002020000000000000000000
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
χ3344-44-4-4-4400000004-4000000000000000000000000000002i2−2i200
χ3444-44-4-4-4400000004-400000000000000000000000000000−2i22i200
χ3544-44-4-4-440000000-4400000000000000000000000000000002i2−2i2
χ3644-44-4-4-440000000-440000000000000000000000000000000−2i22i2
χ3744-4-4-444-404i−4i0000000000000000000000000002-22i−2i00000000
χ3844-4-4-444-404i−4i000000000000000000000000000-22−2i2i00000000
χ3944-4-4-444-40−4i4i0000000000000000000000000002-2−2i2i00000000
χ4044-4-4-444-40−4i4i000000000000000000000000000-222i−2i00000000
χ414-444-44-4-4000004-400000004i−4i00000000000000000000000000
χ424-444-44-4-4000004-40000000−4i4i00000000000000000000000000
χ434-444-44-4-400000-44000004i−4i0000000000000000000000000000
χ444-444-44-4-400000-4400000−4i4i0000000000000000000000000000
χ454-4-4-444-440004-4000000000002-200000000002-2000000000000
χ464-4-4-444-440004-400000000000-220000000000-22000000000000
χ474-4-4-444-44000-44000000000002-20000000000-22000000000000
χ484-4-4-444-44000-4400000000000-2200000000002-2000000000000
χ498-88-8-8-888000000000000000000000000000000000000000000
χ508-8-888-88-8000000000000000000000000000000000000000000

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