Finite Group Databasebeta

← Group #176136

Character table — Group #176136

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111144444444448888881616161616161616161616161616161616161616161616161616
order12222222444444444444444424444444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-11-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-1-11-1-1-111-111-11-111-1-1-1-1-1-1-1-11111
χ61111111111111111111-1-11-1-11-1-1-111-1-1-1-11-1-1-111111111-1-1-1-1
χ71111111111111111111-1-11-1-1-1-111-1-1111-1-11111111-1-1-1-1-1-1-1-1
χ81111111111111111111-1-11-1-1-1-111-1-11-1-1-1-11-1-1-1-1-1-111111111
χ91111111111-1-1-1-11111-111-1-1-1111-11-1-111-1-11-1-111-1-111-1-111-1-1
χ101111111111-1-1-1-11111-111-1-1-1111-11-1-1-1-1-1-1111-1-111-1-111-1-111
χ111111111111-1-1-1-11111-111-1-1-1-11-11-11111-11-1-1-1-1-11111-1-1-1-111
χ121111111111-1-1-1-11111-111-1-1-1-11-11-111-1-1-11-11111-1-1-1-11111-1-1
χ131111111111-1-1-1-11111-1-1-1-1111-1-111-11111-1-1-1-1-1-111-1-11111-1-1
χ141111111111-1-1-1-11111-1-1-1-1111-1-111-11-1-11-1-11111-1-111-1-1-1-111
χ151111111111-1-1-1-11111-1-1-1-111-1-11-1-11-111111-1-111-1-1-1-111-1-111
χ161111111111-1-1-1-11111-1-1-1-111-1-11-1-11-1-1-111111-1-11111-1-111-1-1
χ17222222222-22222-2-22-2-200-2002000-220000-2000000000000000
χ18222222222-22222-2-22-2-200-200-20002-200002000000000000000
χ19222222222-2-2-2-2-2-2-22-22002002000-2-200002000000000000000
χ20222222222-2-2-2-2-2-2-22-2200200-2000220000-2000000000000000
χ2122222222-2222-2-2-2-2-22-2222220-20000000-20000000000000000
χ2222222222-2222-2-2-2-2-22-2-2-22-2-202000000020000000000000000
χ2322222222-22-2-222-2-2-22222-2-2-20-2000000020000000000000000
χ2422222222-22-2-222-2-2-222-2-2-222020000000-20000000000000000
χ2522222222-2-222-2-222-2-2200-200002200-20000-200000000000000
χ2622222222-2-222-2-222-2-2200-20000-2-20020000200000000000000
χ2722222222-2-2-2-22222-2-2-200200002-20020000-200000000000000
χ2822222222-2-2-2-22222-2-2-20020000-2200-20000200000000000000
χ29444-4-44-4-4040000000-400004-400000000000000000000000000
χ30444-4-44-4-4040000000-40000-4400000000000000000000000000
χ31444-4-44-4-40-40000000404i−4i00000000000000000000000000000
χ32444-4-44-4-40-4000000040−4i4i00000000000000000000000000000
χ3344-44-4-44-440000000-4000000000000000000000000022−22000000
χ3444-44-4-44-440000000-40000000000000000000000000−2222000000
χ3544-44-4-44-4-4000000040000000000000000000000000002i2−2i20000
χ3644-44-4-44-4-400000004000000000000000000000000000−2i22i20000
χ3744-4-44-4-4400004i−4i0000000000000000000000002i−2i2-200000000
χ3844-4-44-4-4400004i−4i000000000000000000000000−2i2i-2200000000
χ3944-4-44-4-440000−4i4i0000000000000000000000002i−2i-2200000000
χ4044-4-44-4-440000−4i4i000000000000000000000000−2i2i2-200000000
χ414-444-4-4-44004i−4i00000000000000000002i−2i0002-2000000000000
χ424-444-4-4-44004i−4i0000000000000000000−2i2i000-22000000000000
χ434-444-4-4-4400−4i4i00000000000000000002i−2i000-22000000000000
χ444-444-4-4-4400−4i4i0000000000000000000−2i2i0002-2000000000000
χ454-4-4-4-44440000004-40000000000000000000000000000000022−22
χ464-4-4-4-44440000004-400000000000000000000000000000000−2222
χ474-4-4-4-4444000000-4400000000000000000000000000000022−2200
χ484-4-4-4-4444000000-44000000000000000000000000000000−222200
χ498-88-88-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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