Finite Group Databasebeta

← Group #349419

Character table — Group #349419

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111-1-11-1-111-1-1-1-11-1-111-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11111-1-11-1-111-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-111111-1-1-1-111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-111-1-111-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-111-1-111-111-1-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-11111-1-1-1-1-111-1-1-11111-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-200200000022-20000-2-222-20000-2-200000000000000
χ182222222222222-2-22-2-2002000000-2-2-2000022-2-2-200002200000000000000
χ19222222222222-22-2-22-200-200222200200-2-20000-200-2-20000000000000000
χ20222222222222-22-2-22-200-200-2-2-2-200200220000-200220000000000000000
χ21222222222222-2-22-2-2222-222000000-2-2-20000002-2-2000000000000000000
χ22222222222222-2-22-2-22-2-2-2-2-2000000-222000000222000000000000000000
χ2322222222-2-2-2-22-2-22-2-200-20000002220000-2-2-2-2200002200000000000000
χ2422222222-2-2-2-22-2-22-2-200-2000000-2-220000222220000-2-200000000000000
χ2522222222-2-2-2-2-22-2-22-20020022-2-200-200-2-20000200220000000000000000
χ2622222222-2-2-2-2-22-2-22-200200-2-22200-200220000200-2-20000000000000000
χ2722222222-2-2-2-2-2-22-2-22222-2-20000002-2-2000000-222000000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-2222000000222000000-2-2-2000000000000000000
χ29222-2-22-2-20000222-2-2-22-20002-2002-202-22-22-200000000000000000000000
χ30222-2-22-2-20000222-2-2-22-2000-2200-2202-2-22-2200000000000000000000000
χ31222-2-22-2-20000222-2-2-2-220002-200-220-222-2-2200000000000000000000000
χ32222-2-22-2-20000222-2-2-2-22000-22002-20-22-222-200000000000000000000000
χ33222-2-22-2-200002-2-2-2220002i−2i002i−2i2-200000-220002i−2i2i−2i0000000000000000
χ34222-2-22-2-200002-2-2-2220002i−2i00−2i2i-22000002-20002i−2i−2i2i0000000000000000
χ35222-2-22-2-200002-2-2-222000−2i2i002i−2i-22000002-2000−2i2i2i−2i0000000000000000
χ36222-2-22-2-200002-2-2-222000−2i2i00−2i2i2-200000-22000−2i2i−2i2i0000000000000000
χ37222-2-22-2-20000-22-22-220002i−2i2-20000000-22002i−2i0−2i2i002i−2i00000000000000
χ38222-2-22-2-20000-22-22-220002i−2i-2200000002-200−2i2i0−2i2i00−2i2i00000000000000
χ39222-2-22-2-20000-22-22-22000−2i2i2-20000000-2200−2i2i02i−2i00−2i2i00000000000000
χ40222-2-22-2-20000-22-22-22000−2i2i-2200000002-2002i−2i02i−2i002i−2i00000000000000
χ41222-2-22-2-20000-2-2222-22-2000002i−2i000-2200002i−2i000−2i2i−2i2i00000000000000
χ42222-2-22-2-20000-2-2222-22-200000−2i2i000-220000−2i2i0002i−2i2i−2i00000000000000
χ43222-2-22-2-20000-2-2222-2-22000002i−2i0002-20000−2i2i000−2i2i2i−2i00000000000000
χ44222-2-22-2-20000-2-2222-2-2200000−2i2i0002-200002i−2i0002i−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
χ494-444-4-4-444i−4i4i−4i00000000000000000000000000000000000002-22i−2i000000
χ504-444-4-4-444i−4i4i−4i0000000000000000000000000000000000000-22−2i2i000000
χ514-444-4-4-44−4i4i−4i4i00000000000000000000000000000000000002-2−2i2i000000
χ524-444-4-4-44−4i4i−4i4i0000000000000000000000000000000000000-222i−2i000000
χ534-4-44-444-44i−4i−4i4i000000000000000000000000000000000000000002-22i−2i00
χ544-4-44-444-44i−4i−4i4i00000000000000000000000000000000000000000-22−2i2i00
χ554-4-44-444-4−4i4i4i−4i000000000000000000000000000000000000000002-2−2i2i00
χ564-4-44-444-4−4i4i4i−4i00000000000000000000000000000000000000000-222i−2i00
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-88-88-8000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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