Finite Group Databasebeta

← Group #351144

Character table — Group #351144

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size11111111222222224444444444888888888888888888888888161616161616161632323232
order12222222444444444488888888224444444444888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ41111111111111111111111111111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-111
χ511111111111111111111111111-1-111-1-11-1-11-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111-1-111-1-11-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ9111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ10111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ11111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-111111111-1-1-1-1111-1-11
χ12111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-111-1-1-1-1111111-1-11111-1-1-111-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111-1-1111111-1-111-1-1-11-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-11-1-1-1-11111-1-11111-1-111-1-1111-11-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ172222222222-2-2-2-222-2-200000000222-222-2-2-22-2-2000000000000000000000000
χ182222222222-2-2-2-222-2-20000000022-22-2-22-2-2-222000000000000000000000000
χ192222222222-2-2-2-222-2-200000000-2-22-2-2-2-222222000000000000000000000000
χ202222222222-2-2-2-222-2-200000000-2-2-2222222-2-2-2000000000000000000000000
χ2122222222-2-22222-2-2-2-22222-2-2-2-2002-200200-200-2-20000220000000000000000
χ2222222222-2-22222-2-2-2-22222-2-2-2-200-2200-200200220000-2-20000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-22222002-200200-200220000-2-20000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2222200-2200-200200-2-20000220000000000000000
χ2522222222-2-2-2-2-2-2-2-22200000000002200-200-200002i2i−2i−2i002i2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-22200000000002200-200-20000−2i−2i2i2i00−2i−2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2220000000000-2-200200200002i2i−2i−2i00−2i−2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2220000000000-2-20020020000−2i−2i2i2i002i2i−2i−2i000000000000
χ29222-2-2-22-22-22-22-22-22-20000000000002i−2i00002i−2i2i−2i2-22-22i−2i0000000000000000
χ30222-2-2-22-22-22-22-22-22-20000000000002i−2i00002i−2i−2i2i-22-22−2i2i0000000000000000
χ31222-2-2-22-22-22-22-22-22-2000000000000−2i2i0000−2i2i2i−2i-22-222i−2i0000000000000000
χ32222-2-2-22-22-22-22-22-22-2000000000000−2i2i0000−2i2i−2i2i2-22-2−2i2i0000000000000000
χ33222-2-2-22-22-2-22-222-2-222i2i−2i−2i2i2i−2i−2i00002i−2i0000−2i2i000000002-22-2000000000000
χ34222-2-2-22-22-2-22-222-2-222i2i−2i−2i2i2i−2i−2i0000−2i2i00002i−2i00000000-22-22000000000000
χ35222-2-2-22-22-2-22-222-2-22−2i−2i2i2i−2i−2i2i2i00002i−2i0000−2i2i00000000-22-22000000000000
χ36222-2-2-22-22-2-22-222-2-22−2i−2i2i2i−2i−2i2i2i0000−2i2i00002i−2i000000002-22-2000000000000
χ37222-2-2-22-2-222-22-2-22-22000000002-2000002-20002i−2i0000−2i2i2i−2i−2i2i000000000000
χ38222-2-2-22-2-222-22-2-22-22000000002-2000002-2000−2i2i00002i−2i−2i2i2i−2i000000000000
χ39222-2-2-22-2-222-22-2-22-2200000000-2200000-220002i−2i0000−2i2i−2i2i2i−2i000000000000
χ40222-2-2-22-2-222-22-2-22-2200000000-2200000-22000−2i2i00002i−2i2i−2i−2i2i000000000000
χ41222-2-2-22-2-22-22-22-222-22i2i−2i−2i−2i−2i2i2i2-200000-22000002i−2i−2i2i000000000000000000
χ42222-2-2-22-2-22-22-22-222-22i2i−2i−2i−2i−2i2i2i-22000002-200000−2i2i2i−2i000000000000000000
χ43222-2-2-22-2-22-22-22-222-2−2i−2i2i2i2i2i−2i−2i2-200000-2200000−2i2i2i−2i000000000000000000
χ44222-2-2-22-2-22-22-22-222-2−2i−2i2i2i2i2i−2i−2i-22000002-2000002i−2i−2i2i000000000000000000
χ4544-44-4-4-444-40000-44002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000000000000000000
χ4644-44-4-4-444-40000-4400−2i22i2−2i22i2−2i22i2−2i22i2000000000000000000000000000000000000
χ4744-44-4-4-44-4400004-4002i2−2i22i2−2i2−2i22i2−2i22i2000000000000000000000000000000000000
χ4844-44-4-4-44-4400004-400−2i22i2−2i22i22i2−2i22i2−2i2000000000000000000000000000000000000
χ4944-4-444-4-4440000-4-40022−22−222222−22−2222000000000000000000000000000000000000
χ5044-4-444-4-4440000-4-400−222222−22−222222−22000000000000000000000000000000000000
χ5144-4-444-4-4-4-40000440022−22−2222−222222−22000000000000000000000000000000000000
χ5244-4-444-4-4-4-400004400−222222−2222−22−2222000000000000000000000000000000000000
χ534-4-44-444-40044-4-40000000000000000000000000000000000000000002i2−2i20000
χ544-4-44-444-40044-4-4000000000000000000000000000000000000000000−2i22i20000
χ554-4-44-444-400-4-4440000000000000000000000000000000000000022−2200000000
χ564-4-44-444-400-4-44400000000000000000000000000000000000000−222200000000
χ574-4-4-44-444004-4-4400000000000000000000000000000000000022−220000000000
χ584-4-4-44-444004-4-44000000000000000000000000000000000000−22220000000000
χ594-4-4-44-44400-444-4000000000000000000000000000000000000000022−22000000
χ604-4-4-44-44400-444-40000000000000000000000000000000000000000−2222000000
χ618-8888-8-8-8000000000000000000000000000000000000000000000000000000
χ628-88-8-88-88000000000000000000000000000000000000000000000000000000

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