Finite Group Databasebeta

← Group #179391

Character table — Group #179391

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442444444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-11-1-111-1-1-11-1-111-1-1-1-11111-1-1-1-1
χ4111111111111111111111-11-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111111-1-11-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ61111111111111111111-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-1-1-1-1-1-111-111-1-111111111-1-1-1-1
χ9111111111-1-111111-1-1-11-111-1-11111-1-11-1-1-111-1-111-1-111-1-1
χ10111111111-1-111111-1-1-11-111-1-1-1-111-1-11-111-1-111-1-111-1-111
χ11111111111-1-111111-1-1-11-1-111111-1-11-1-11-1-1-1-11111-1-1-1-111
χ12111111111-1-111111-1-1-11-1-1111-1-1-1-11-1-111111-1-1-1-11111-1-1
χ13111111111-1-111111-1-1-1-111-1-1-1111-111-11-1-111-1-1-1-111-1-111
χ14111111111-1-111111-1-1-1-111-1-1-1-1-11-111-1111-1-11111-1-111-1-1
χ15111111111-1-111111-1-1-1-11-1-11111-11-111-1-1-1-1-111-1-11111-1-1
χ16111111111-1-111111-1-1-1-11-1-111-1-1-11-111-11111-1-111-1-1-1-111
χ1722222222222-2-2-22-2-2-22000000000220-2-200000000000000
χ1822222222222-2-2-22-2-2-22000000000-2-202200000000000000
χ19222222222-2-2-2-2-22-222-20000000002-20-2200000000000000
χ20222222222-2-2-2-2-22-222-2000000000-2202-200000000000000
χ2122222222-2222-2-2-22-22-22-20-2000000020000000000000000
χ2222222222-2222-2-2-22-22-2-22020000000-20000000000000000
χ2322222222-222-222-2-22-2-200202-200-20000000000000000000
χ2422222222-222-222-2-22-2-200-20-220020000000000000000000
χ2522222222-2-2-22-2-2-222-22220-20000000-20000000000000000
χ2622222222-2-2-22-2-2-222-22-2-202000000020000000000000000
χ2722222222-2-2-2-222-2-2-2220020-2200-20000000000000000000
χ2822222222-2-2-2-222-2-2-22200-202-20020000000000000000000
χ29444-44-4-4-400004-40000000000000000000000000000022−2200
χ30444-44-4-4-400004-400000000000000000000000000000−222200
χ31444-44-4-4-40000-44000000000000000000000000000000022−22
χ32444-44-4-4-40000-440000000000000000000000000000000−2222
χ3344-44-4-4-44400000-400000000000000000000000022−22000000
χ3444-44-4-4-44400000-4000000000000000000000000−2222000000
χ3544-44-4-4-44-4000004000000000000000000000000002i2−2i20000
χ3644-44-4-4-44-400000400000000000000000000000000−2i22i20000
χ374-44-4-4-4440004000-400000000000000000002i2−2i20000000000
χ384-44-4-4-4440004000-40000000000000000000−2i22i20000000000
χ394-44-4-4-444000-4000400000000000000000000022−2200000000
χ404-44-4-4-444000-40004000000000000000000000−222200000000
χ414-4-444-44-404-4000000000000002i−2i0000002i−2i000000000000
χ424-4-444-44-404-400000000000000−2i2i000000−2i2i000000000000
χ434-4-444-44-40-44000000000000002i−2i000000−2i2i000000000000
χ444-4-444-44-40-4400000000000000−2i2i0000002i−2i000000000000
χ4588-8-8-888-8000000000000000000000000000000000000000
χ468-888-88-8-8000000000000000000000000000000000000000
χ478-8-8-888-88000000000000000000000000000000000000000

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