Finite Group Databasebeta

← Group #349403

Character table — Group #349403

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111-1-11111-1-1-1-1-1-111-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-111-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-111-1-1-111-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111-11111-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-2002-200000022220000-2-2-20000-2-200000000000000
χ182222222222222-2-22-2-2002-2000000-2-2-2-2000022-200002200000000000000
χ19222222222222-22-2-22-200-22002222000000-2-200-200-2-20000000000000000
χ20222222222222-22-2-22-200-2200-2-2-2-20000002200-200220000000000000000
χ21222222222222-2-22-2-2222-2-22200000000-2-200002-2-2000000000000000000
χ22222222222222-2-22-2-22-2-2-2-2-2-200000000220000222000000000000000000
χ2322222222-2-2-2-22-2-22-2-200-2200000022-2-20000-2-2200002200000000000000
χ2422222222-2-2-2-22-2-22-2-200-22000000-2-22200002220000-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-2002-20022-2-2000000-2-200200220000000000000000
χ2622222222-2-2-2-2-22-2-22-2002-200-2-2220000002200200-2-20000000000000000
χ2722222222-2-2-2-2-2-22-2-222222-2-200000000-2-20000-222000000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-2222200000000220000-2-2-2000000000000000000
χ29222-2-2-22-20000222-2-2-22-200002-2002-2002-22-22-2000000000000000000000
χ30222-2-2-22-20000222-2-2-22-20000-2200-22002-2-22-22000000000000000000000
χ31222-2-2-22-20000222-2-2-2-2200002-200-2200-222-2-22000000000000000000000
χ32222-2-2-22-20000222-2-2-2-220000-22002-200-22-222-2000000000000000000000
χ33222-2-2-22-200002-2-2-22200002i−2i002i−2i2-2000000-2202i−2i2i−2i0000000000000000
χ34222-2-2-22-200002-2-2-22200002i−2i00−2i2i-220000002-202i−2i−2i2i0000000000000000
χ35222-2-2-22-200002-2-2-2220000−2i2i002i−2i-220000002-20−2i2i2i−2i0000000000000000
χ36222-2-2-22-200002-2-2-2220000−2i2i00−2i2i2-2000000-220−2i2i−2i2i0000000000000000
χ37222-2-2-22-20000-22-22-2200002i−2i2-200002i−2i00-22000−2i2i002i−2i00000000000000
χ38222-2-2-22-20000-22-22-2200002i−2i-220000−2i2i002-2000−2i2i00−2i2i00000000000000
χ39222-2-2-22-20000-22-22-220000−2i2i2-20000−2i2i00-220002i−2i00−2i2i00000000000000
χ40222-2-2-22-20000-22-22-220000−2i2i-2200002i−2i002-20002i−2i002i−2i00000000000000
χ41222-2-2-22-20000-2-2222-22-20000002i−2i002i−2i-220000000−2i2i−2i2i00000000000000
χ42222-2-2-22-20000-2-2222-22-2000000−2i2i00−2i2i-2200000002i−2i2i−2i00000000000000
χ43222-2-2-22-20000-2-2222-2-220000002i−2i00−2i2i2-20000000−2i2i2i−2i00000000000000
χ44222-2-2-22-20000-2-2222-2-22000000−2i2i002i−2i2-200000002i−2i−2i2i00000000000000
χ4544-444-4-4-444-4-40000000000000000000000000000000002-22-20000000000
χ4644-444-4-4-444-4-4000000000000000000000000000000000-22-220000000000
χ4744-444-4-4-4-4-4440000000000000000000000000000000002-2-220000000000
χ4844-444-4-4-4-4-444000000000000000000000000000000000-222-20000000000
χ494-444-44-4-44-44-400000000000000000000000000000000000002-22-2000000
χ504-444-44-4-44-44-40000000000000000000000000000000000000-22-22000000
χ514-444-44-4-4-44-4400000000000000000000000000000000000002-2-22000000
χ524-444-44-4-4-44-440000000000000000000000000000000000000-222-2000000
χ534-4-44-4-4444-4-44000000000000000000000000000000000000000002-22-200
χ544-4-44-4-4444-4-4400000000000000000000000000000000000000000-22-2200
χ554-4-44-4-444-444-4000000000000000000000000000000000000000002-2-2200
χ564-4-44-4-444-444-400000000000000000000000000000000000000000-222-200
χ5788-8-8-88-88000000000000000000000000000000000000000000000000000
χ588-88-88-8-88000000000000000000000000000000000000000000000000000
χ598-8-8-8888-8000000000000000000000000000000000000000000000000000

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