Finite Group Databasebeta

← Group #349352

Character table — Group #349352

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62
size111111112222444444448888888888888888888888888816161616161616161616161616161616
order12222222222244444444444444444444444444444444444444444488888888
χ111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-11-1-1111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-11-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ9111111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111-1-111-1-1
χ10111111111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-111-1-111
χ11111111111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-111-1-111-1-1-1-111-1-111
χ12111111111111-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1
χ13111111111111-1-1-1-11111-1-1-1111111-1-111-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111
χ14111111111111-1-1-1-11111-1-1-1111111-1-111-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1
χ15111111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-11111-1-111-1-11111-1-1-1-111-1-11111-1-1
χ16111111111111-1-1-1-11111-1-1-111-1-1-1-111-1-1-11111-1-111-1-111-1-11111-1-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2222-2-200000000-22200-2-20000000000000000000000
χ1822222222222222-2-2-2-2-2-2-2-222200000000-2-2-200220000000000000000000000
χ19222222222222-2-222-2-2-2-222-222000000002-2-200-2-20000000000000000000000
χ20222222222222-2-222-2-2-2-2-2-2-2-2-20000000022200220000000000000000000000
χ2122222222-2-2-2-222222-22-200-20000000022-200-2-20000-2-2220000000000000000
χ2222222222-2-2-2-222222-22-200-200000000-2-2-20022000022-2-20000000000000000
χ2322222222-2-2-2-222-2-2-22-2200-20022-2-222002000000-2-200000000000000000000
χ2422222222-2-2-2-222-2-2-22-2200-200-2-222-2-20020000002200000000000000000000
χ2522222222-2-2-2-2-2-222-22-220020022-2-2-2-200-20000002200000000000000000000
χ2622222222-2-2-2-2-2-222-22-2200200-2-2222200-2000000-2-200000000000000000000
χ2722222222-2-2-2-2-2-2-2-22-22-20020000000022200220000-2-2-2-20000000000000000
χ2822222222-2-2-2-2-2-2-2-22-22-200200000000-2-2200-2-2000022220000000000000000
χ29222-2-2-22-222-2-2000022-2-22-200000002-22-2000002-22-22-2000000000000000000
χ30222-2-2-22-222-2-2000022-2-22-20000000-22-22000002-2-22-22000000000000000000
χ31222-2-2-22-222-2-2000022-2-2-2200000002-2-2200000-222-2-22000000000000000000
χ32222-2-2-22-222-2-2000022-2-2-220000000-222-200000-22-222-2000000000000000000
χ33222-2-2-22-222-2-20000-2-2222-20002i−2i2i−2i00000002i−2i-2200002i−2i0000000000000000
χ34222-2-2-22-222-2-20000-2-2222-2000−2i2i−2i2i0000000−2i2i-220000−2i2i0000000000000000
χ35222-2-2-22-222-2-20000-2-222-220002i−2i2i−2i0000000−2i2i2-20000−2i2i0000000000000000
χ36222-2-2-22-222-2-20000-2-222-22000−2i2i−2i2i00000002i−2i2-200002i−2i0000000000000000
χ37222-2-2-22-2-2-22200002-2-220002i−2i2i−2i−2i2i002-202i−2i000000-22000000000000000000
χ38222-2-2-22-2-2-22200002-2-220002i−2i−2i2i2i−2i00-2202i−2i0000002-2000000000000000000
χ39222-2-2-22-2-2-22200002-2-22000−2i2i2i−2i−2i2i00-220−2i2i0000002-2000000000000000000
χ40222-2-2-22-2-2-22200002-2-22000−2i2i−2i2i2i−2i002-20−2i2i000000-22000000000000000000
χ41222-2-2-22-2-2-2220000-222-20002i−2i00002-2000−2i2i2i−2i00-2200−2i2i0000000000000000
χ42222-2-2-22-2-2-2220000-222-20002i−2i0000-22000−2i2i−2i2i002-2002i−2i0000000000000000
χ43222-2-2-22-2-2-2220000-222-2000−2i2i00002-20002i−2i−2i2i00-22002i−2i0000000000000000
χ44222-2-2-22-2-2-2220000-222-2000−2i2i0000-220002i−2i2i−2i002-200−2i2i0000000000000000
χ4544-444-4-4-44-44-4000000000000000000000000000000000000000000000022−2200
χ4644-444-4-4-44-44-40000000000000000000000000000000000000000000000−222200
χ4744-444-4-4-4-44-4400000000000000000000000000000000000000000000000022−22
χ4844-444-4-4-4-44-44000000000000000000000000000000000000000000000000−2222
χ4944-4-4-44-444-4-440000000000000000000000000000000000000000002i2−2i2000000
χ5044-4-4-44-444-4-44000000000000000000000000000000000000000000−2i22i2000000
χ5144-4-4-44-44-444-4000000000000000000000000000000000000000000002i2−2i20000
χ5244-4-4-44-44-444-400000000000000000000000000000000000000000000−2i22i20000
χ534-444-4-4-4400004-40000000000000000000000000000000000002i−2i2i−2i00000000
χ544-444-4-4-4400004-4000000000000000000000000000000000000−2i2i−2i2i00000000
χ554-444-4-4-440000-440000000000000000000000000000000000002i−2i−2i2i00000000
χ564-444-4-4-440000-44000000000000000000000000000000000000−2i2i2i−2i00000000
χ574-4-44-444-40000004-40000000000000000000000000000002i−2i2i−2i000000000000
χ584-4-44-444-40000004-4000000000000000000000000000000−2i2i−2i2i000000000000
χ594-4-44-444-4000000-440000000000000000000000000000002i−2i−2i2i000000000000
χ604-4-44-444-4000000-44000000000000000000000000000000−2i2i2i−2i000000000000
χ618-88-888-8-8000000000000000000000000000000000000000000000000000000
χ628-8-8-88-888000000000000000000000000000000000000000000000000000000

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