Finite Group Databasebeta

← Group #349413

Character table — Group #349413

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-111-1-111-1-111-1-1-1-111-1-111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-111-1-1-1-111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-2002000022-2-20000000000-2-222-2-200000000000000
χ182222222222222-2-22-2-20020000-2-2-2-2000000000022-2-22200000000000000
χ19222222222222-22-2-22-200-22222002-2000000-2-2-2-200000000000000000000
χ20222222222222-22-2-22-200-2-2-2-2-2002-2000000222200000000000000000000
χ21222222222222-2-22-2-2222-2000000-22-2-222-2-2000000000000000000000000
χ22222222222222-2-22-2-22-2-2-2000000-2222-2-222000000000000000000000000
χ2322222222-2-2-2-22-2-22-2-200-2000022220000000000-2-2-2-22200000000000000
χ2422222222-2-2-2-22-2-22-2-200-20000-2-22200000000002222-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-200222-2-200-22000000-2-22200000000000000000000
χ2622222222-2-2-2-2-22-2-22-2002-2-22200-2200000022-2-200000000000000000000
χ2722222222-2-2-2-2-2-22-2-222220000002-2-2-2-2-222000000000000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-220000002-22222-2-2000000000000000000000000
χ29222-22-2-2-20000222-2-2-22-202-2002-2002-200002-2002-2000000000000000000
χ30222-22-2-2-20000222-2-2-22-20-2200-22002-20000-2200-22000000000000000000
χ31222-22-2-2-20000222-2-2-2-2202-200-2200-2200002-200-22000000000000000000
χ32222-22-2-2-20000222-2-2-2-220-22002-200-220000-22002-2000000000000000000
χ33222-22-2-2-200002-2-2-222000002i−2i2-200002i−2i2i−2i002i−2i-22000000000000000000
χ34222-22-2-2-200002-2-2-222000002i−2i-220000−2i2i−2i2i002i−2i2-2000000000000000000
χ35222-22-2-2-200002-2-2-22200000−2i2i2-20000−2i2i−2i2i00−2i2i-22000000000000000000
χ36222-22-2-2-200002-2-2-22200000−2i2i-2200002i−2i2i−2i00−2i2i2-2000000000000000000
χ37222-22-2-2-20000-22-22-220002-2000000002i−2i−2i2i-2200002i−2i2i−2i00000000000000
χ38222-22-2-2-20000-22-22-220002-200000000−2i2i2i−2i-220000−2i2i−2i2i00000000000000
χ39222-22-2-2-20000-22-22-22000-22000000002i−2i−2i2i2-20000−2i2i−2i2i00000000000000
χ40222-22-2-2-20000-22-22-22000-2200000000−2i2i2i−2i2-200002i−2i2i−2i00000000000000
χ41222-22-2-2-20000-2-2222-22-20002i−2i0000-22000000−2i2i002i−2i−2i2i00000000000000
χ42222-22-2-2-20000-2-2222-22-2000−2i2i0000-220000002i−2i00−2i2i2i−2i00000000000000
χ43222-22-2-2-20000-2-2222-2-220002i−2i00002-2000000−2i2i00−2i2i2i−2i00000000000000
χ44222-22-2-2-20000-2-2222-2-22000−2i2i00002-20000002i−2i002i−2i−2i2i00000000000000
χ4544-4-4-444-444-4-400000000000000000000000000000000000002i−2i2i−2i000000
χ4644-4-4-444-444-4-40000000000000000000000000000000000000−2i2i−2i2i000000
χ4744-4-4-444-4-4-44400000000000000000000000000000000000002i−2i−2i2i000000
χ4844-4-4-444-4-4-4440000000000000000000000000000000000000−2i2i2i−2i000000
χ494-44-4-44-444i−4i4i−4i0000000000000000000000000000000002-22i−2i0000000000
χ504-44-4-44-444i−4i4i−4i000000000000000000000000000000000-22−2i2i0000000000
χ514-44-4-44-44−4i4i−4i4i0000000000000000000000000000000002-2−2i2i0000000000
χ524-44-4-44-44−4i4i−4i4i000000000000000000000000000000000-222i−2i0000000000
χ534-4-4444-4-44i−4i−4i4i000000000000000000000000000000000000000002i−2i2-200
χ544-4-4444-4-44i−4i−4i4i00000000000000000000000000000000000000000−2i2i-2200
χ554-4-4444-4-4−4i4i4i−4i000000000000000000000000000000000000000002i−2i-2200
χ564-4-4444-4-4−4i4i4i−4i00000000000000000000000000000000000000000−2i2i2-200
χ5788-88-8-8-88000000000000000000000000000000000000000000000000000
χ588-888-8-88-8000000000000000000000000000000000000000000000000000
χ598-8-8-88-888000000000000000000000000000000000000000000000000000

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