Finite Group Databasebeta

← Group #242645

Character table — Group #242645

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size1111111122222222444444444488888888888888881616161616161616161616161616161616161616
order12222222444444442244444444888888888888888822444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1111111-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-11-1-1-1-11111
χ511111111111111111111111111-1-1-1-111111111-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-111111111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111111-1-1-1-1
χ91111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-111-1-1-111-1-111-1-1
χ101111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1111-1-111111-1-1-1-111
χ111111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-11-1-111-1-11-1-111-1-111
χ121111111111111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-111-1-111-1-1-11111-1-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-111-1-1-111-1-111
χ141111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-111111-1-11-1-11111-1-1
χ151111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-11-1-1-1-111111-1-111-1-1
χ161111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-111-11111-1-1-111-1-1-1-111
χ172222222222-2-22-2-2222-2-222-2-2-2-222-2-200000000-2-22200000000000000000000
χ182222222222-2-22-2-2222-2-222-2-2-2-2-2-2220000000022-2-200000000000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-22222222200000000-2-2-2-200000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-22222-2-2-2-200000000222200000000000000000000
χ2122222222-2-222-222-222-2-2-2-2-2-2220000000000000000002-22000000-200000000
χ2222222222-2-222-222-222-2-2-2-2-2-222000000000000000000-22-2000000200000000
χ2322222222-2-222-222-2-2-2-2-22222-2-20000000000000000002-2-2000000200000000
χ2422222222-2-222-222-2-2-2-2-22222-2-2000000000000000000-222000000-200000000
χ2522222222-2-2-2-2-2-2-2-22222-2-222-2-2000000000000000000000000000000002i−2i2i−2i
χ2622222222-2-2-2-2-2-2-2-22222-2-222-2-200000000000000000000000000000000−2i2i−2i2i
χ2722222222-2-2-2-2-2-2-2-2-2-22222-2-222000000000000000000000000000000002i−2i−2i2i
χ2822222222-2-2-2-2-2-2-2-2-2-22222-2-22200000000000000000000000000000000−2i2i2i−2i
χ29222-2-2-22-22222-2-2-2-22-22-22-22-22-200000000000000002-20002-20000000000000
χ30222-2-2-22-22222-2-2-2-22-22-22-22-22-20000000000000000-22000-220000000000000
χ31222-2-2-22-22222-2-2-2-2-222-2-22-22-2200000000000000002-2000-220000000000000
χ32222-2-2-22-22222-2-2-2-2-222-2-22-22-220000000000000000-220002-20000000000000
χ33222-2-2-22-222-2-2-222-22-2-222-2-22-22000000000000000000000002i−2i2i−2i000000000
χ34222-2-2-22-222-2-2-222-22-2-222-2-22-2200000000000000000000000−2i2i−2i2i000000000
χ35222-2-2-22-222-2-2-222-2-22-22-222-22-2000000000000000000000002i−2i−2i2i000000000
χ36222-2-2-22-222-2-2-222-2-22-22-222-22-200000000000000000000000−2i2i2i−2i000000000
χ37222-2-2-22-2-2-2222-2-222-2-22-22-222-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ38222-2-2-22-2-2-2222-2-222-2-22-22-222-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ39222-2-2-22-2-2-2222-2-22-22-222-22-2-2200002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ40222-2-2-22-2-2-2222-2-22-22-222-22-2-220000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ41222-2-2-22-2-2-2-2-222222-22-2-222-2-2200000000000000000000000000002-22-20000
χ42222-2-2-22-2-2-2-2-222222-22-2-222-2-220000000000000000000000000000-22-220000
χ43222-2-2-22-2-2-2-2-22222-222-22-2-222-200000000000000000000000000002-2-220000
χ44222-2-2-22-2-2-2-2-22222-222-22-2-222-20000000000000000000000000000-222-20000
χ4544-444-4-4-44-400400-40000000000000022−2222−220000000000000000000000000000
χ4644-444-4-4-44-400400-400000000000000−2222−22220000000000000000000000000000
χ4744-444-4-4-4-4400-40040000000000000000002i2−2i22i2−2i2000000000000000000000000
χ4844-444-4-4-4-4400-4004000000000000000000−2i22i2−2i22i2000000000000000000000000
χ4944-4-4-44-444-400-400400000000000000000022−22−2222000000000000000000000000
χ5044-4-4-44-444-400-4004000000000000000000−222222−22000000000000000000000000
χ5144-4-4-44-44-4400400-4000000000000002i2−2i2−2i22i20000000000000000000000000000
χ5244-4-4-44-44-4400400-400000000000000−2i22i22i2−2i20000000000000000000000000000
χ534-4-44-444-4004-404-400000000000002i2−2i200000000002i2−2i200000000000000000000
χ544-4-44-444-4004-404-40000000000000−2i22i20000000000−2i22i200000000000000000000
χ554-4-44-444-400-440-4400000000000002i2−2i20000000000−2i22i200000000000000000000
χ564-4-44-444-400-440-440000000000000−2i22i200000000002i2−2i200000000000000000000
χ574-4-4-44-444004-40-440000000000022−22000000000022−220000000000000000000000
χ584-4-4-44-444004-40-4400000000000−22220000000000−22220000000000000000000000
χ594-4-4-44-44400-4404-40000000000022−220000000000−22220000000000000000000000
χ604-4-4-44-44400-4404-400000000000−2222000000000022−220000000000000000000000
χ618-888-8-8-88000000000000000000000000000000000000000000000000000000
χ628-88-888-8-8000000000000000000000000000000000000000000000000000000

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