Finite Group Databasebeta

← Group #349407

Character table — Group #349407

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444448888888888888888888888888881616161616161616161616163232
order12222222444444444422444444444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111-1-11-1-11111-1-11-1-1-1-11111-1-1-1-11-1-11111-1-1-1-11111-1-1
χ6111111111111111111-1-11-1-11111-1-11-1-1-1-11111-1-1-1-11-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111-1-11-1-1-1-1-1-1111-1-1-1-1-1-1-1-11111111-1-1-1-111111111-1-1
χ911111111-1-1-1-111111111-1-1-111-1-111-111-1-111-1-111-1-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-111111111-1-1-111-1-111-111-1-111-1-111-1-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111-11111-1-111-1-1-1-111-11
χ1211111111-1-1-1-111111111-1-1-1-1-111-1-1-111-1-1-1-111-1-111-111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-11111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-11111-1-1-1-111-111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1111111-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1111111-1-1-111-1-11111-1-1-111-1-11111-1-1-1-1-1-1-11111-1-111-1-1-11
χ172222222222222-2-22-2-200200000022-200000000-2-2-2-2-22200000000000000
χ182222222222222-2-22-2-2002000000-2-2-2000000002222-2-2-200000000000000
χ19222222222222-22-2-22-200-200222200-20000-2-2-2-2000020000000000000000
χ20222222222222-22-2-22-200-200-2-2-2-200-200002222000020000000000000000
χ21222222222222-2-22-2-2222-2220000002-2-2-2-200000000-20000000000000000
χ22222222222222-2-22-2-22-2-2-2-2-20000002222200000000-20000000000000000
χ2322222222-2-2-2-22-2-22-2-200-200000022200000000-2-2222-2-200000000000000
χ2422222222-2-2-2-22-2-22-2-200-2000000-2-220000000022-2-222200000000000000
χ2522222222-2-2-2-2-22-2-22-20020022-2-20020000-2-2220000-20000000000000000
χ2622222222-2-2-2-2-22-2-22-200200-2-222002000022-2-20000-20000000000000000
χ2722222222-2-2-2-2-2-22-2-22222-2-2000000-2-2-2220000000020000000000000000
χ2822222222-2-2-2-2-2-22-2-22-2-2222000000-222-2-20000000020000000000000000
χ29222-2-22-2-20000222-2-2-22-20002-2002-202-2002-2002-20000000000000000000
χ30222-2-22-2-20000222-2-2-22-2000-2200-2202-200-2200-220000000000000000000
χ31222-2-22-2-20000222-2-2-2-220002-200-220-22002-200-220000000000000000000
χ32222-2-22-2-20000222-2-2-2-22000-22002-20-2200-22002-20000000000000000000
χ33222-2-22-2-200002-2-2-2220002i−2i002i−2i2-20002i−2i002i−2i-220000000000000000000
χ34222-2-22-2-200002-2-2-2220002i−2i00−2i2i-220002i−2i00−2i2i2-20000000000000000000
χ35222-2-22-2-200002-2-2-222000−2i2i002i−2i-22000−2i2i002i−2i2-20000000000000000000
χ36222-2-22-2-200002-2-2-222000−2i2i00−2i2i2-2000−2i2i00−2i2i-220000000000000000000
χ37222-2-22-2-20000-22-22-220002i−2i2-20000000−2i2i-2200002i−2i02i−2i00000000000000
χ38222-2-22-2-20000-22-22-220002i−2i-220000000−2i2i2-20000−2i2i0−2i2i00000000000000
χ39222-2-22-2-20000-22-22-22000−2i2i2-200000002i−2i-220000−2i2i0−2i2i00000000000000
χ40222-2-22-2-20000-22-22-22000−2i2i-2200000002i−2i2-200002i−2i02i−2i00000000000000
χ41222-2-22-2-20000-2-2222-22-2000002i−2i000-220000−2i2i00−2i2i02i−2i00000000000000
χ42222-2-22-2-20000-2-2222-22-200000−2i2i000-2200002i−2i002i−2i0−2i2i00000000000000
χ43222-2-22-2-20000-2-2222-2-22000002i−2i0002-20000−2i2i002i−2i0−2i2i00000000000000
χ44222-2-22-2-20000-2-2222-2-2200000−2i2i0002-200002i−2i00−2i2i02i−2i00000000000000
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
χ494-444-4-4-444-44-400000000000000000000000000000000000002i−2i2i−2i000000
χ504-444-4-4-444-44-40000000000000000000000000000000000000−2i2i−2i2i000000
χ514-444-4-4-44-44-4400000000000000000000000000000000000002i−2i−2i2i000000
χ524-444-4-4-44-44-440000000000000000000000000000000000000−2i2i2i−2i000000
χ534-4-44-444-44-4-44000000000000000000000000000000000000000002i−2i2i−2i00
χ544-4-44-444-44-4-4400000000000000000000000000000000000000000−2i2i−2i2i00
χ554-4-44-444-4-444-4000000000000000000000000000000000000000002i−2i−2i2i00
χ564-4-44-444-4-444-400000000000000000000000000000000000000000−2i2i2i−2i00
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-88-88-8000000000000000000000000000000000000000000000000000
χ598-8-8-888-88000000000000000000000000000000000000000000000000000

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