Finite Group Databasebeta

← Group #330608

Character table — Group #330608

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size1111111122222222448888888888881616161616161616161616161616161632323232
order12222222444444444444448888888824448888888888884444
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-111-1-111-1-11-1-1111-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-111-1-111-1-11-1-1111-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-111-1-111-1-1-111-1-1-11111-1-111-1-1-11-11
χ12111111111111111111-1-1-1-111-1-111-1-1-111-1-1-111-1-111-1-1111-11-1
χ13111111111111111111-1-1-1-1-1-111-1-1111-1-11-1-11111-1-1-1-1111-1-11
χ14111111111111111111-1-1-1-1-1-111-1-1111-1-11-1-111-1-11111-1-1-111-1
χ15111111111111111111-1-1-1-1-1-111-1-111-111-111-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-111-1-111-111-111-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-222-2-2000000002-22-20000000000000000
χ182222222222-2-2-2-222-2-222-2-200000000-22-220000000000000000
χ192222222222-2-2-2-222-2-2-2-2220000000022-2-20000000000000000
χ202222222222-2-2-2-222-2-2-2-22200000000-2-2220000000000000000
χ2122222222-2-22222-2-2-2-22-22-222-2-2-2-22200000000000000000000
χ2222222222-2-22222-2-2-2-22-22-2-2-22222-2-200000000000000000000
χ2322222222-2-22222-2-2-2-2-22-222222-2-2-2-200000000000000000000
χ2422222222-2-22222-2-2-2-2-22-22-2-2-2-2222200000000000000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-220000000000002i−2i2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-2222-2-22000000000000−2i2i−2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-222-222-20000000000002i−2i−2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-222-222-2000000000000−2i2i2i−2i000000000000
χ29444-44-4-4-44-400004-40000000022−220022−2200000000000000000000
χ30444-44-4-4-44-400004-400000000−222200−222200000000000000000000
χ31444-44-4-4-4-440000-440000000022−2200−222200000000000000000000
χ32444-44-4-4-4-440000-4400000000−22220022−2200000000000000000000
χ3344-44-4-4-44444-44-4-4-44-400000000000000000000000000000000
χ3444-44-4-4-4444-44-44-4-4-4400000000000000000000000000000000
χ3544-44-4-4-44-4-44-44-444-4400000000000000000000000000000000
χ3644-44-4-4-44-4-4-44-44444-400000000000000000000000000000000
χ3744-4-4-444-44-40000-440000002i2−2i2002i2−2i20000000000000000000000
χ3844-4-4-444-44-40000-44000000−2i22i200−2i22i20000000000000000000000
χ3944-4-4-444-4-4400004-40000002i2−2i200−2i22i20000000000000000000000
χ4044-4-4-444-4-4400004-4000000−2i22i2002i2−2i20000000000000000000000
χ414-44-4-44-440044-4-4000000000000000000000000002i2−2i200000000
χ424-44-4-44-440044-4-400000000000000000000000000−2i22i200000000
χ434-44-4-44-4400-4-44400000000000000000000000022−220000000000
χ444-44-4-44-4400-4-444000000000000000000000000−22220000000000
χ454-4-4-44-444004-4-4400000000000000000000000000000022−220000
χ464-4-4-44-444004-4-44000000000000000000000000000000−22220000
χ474-4-4-44-44400-444-4000000000000000000000000000022−22000000
χ484-4-4-44-44400-444-40000000000000000000000000000−2222000000
χ498-888-8-88-8000000000000000000000000000000000000000000
χ508-8-8888-8-8000000000000000000000000000000000000000000

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