Finite Group Databasebeta

← Group #350054

Character table — Group #350054

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222224444444444222244444444444444444444488888888888824
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1
χ911111111-1-1-1-1-1-111111111-1-1-11111-1-111-1-1-1-11111-1-1-1-111-1-111-1-111-1-11-1
χ1011111111-1-1-1-1-1-111111111-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-11
χ1111111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-11
χ1211111111-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-11-1
χ1311111111-1-1-1-1-1-1111111-1-111-111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-11
χ1411111111-1-1-1-1-1-1111111-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111-1
χ1511111111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-1-1111-1
χ1611111111-1-1-1-1-1-1111111-1-111-1-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-11
χ17222222222222-2-222-2-2-2-20000-200000000000022-2-222-2-200000000000000
χ18222222222222-2-222-2-2-2-20000-2000000000000-2-222-2-22200000000000000
χ192222222222-2-222-2-2-2-22222-2-2-200-2-2220000000000000000000000000000
χ202222222222-2-222-2-2-2-222-2-222-20022-2-20000000000000000000000000000
χ212222222222-2-2-2-2-2-222-2-200002220000-2-222-2-20000000000000000000000
χ222222222222-2-2-2-2-2-222-2-200002-2-2000022-2-2220000000000000000000000
χ2322222222-2-22222-2-222-2-20000-2220000-2-2-2-2220000000000000000000000
χ2422222222-2-22222-2-222-2-20000-2-2-200002222-2-20000000000000000000000
χ2522222222-2-222-2-2-2-2-2-2222222200-2-2-2-20000000000000000000000000000
χ2622222222-2-222-2-2-2-2-2-222-2-2-2-220022220000000000000000000000000000
χ2722222222-2-2-2-22222-2-2-2-20000200000000000022-2-2-2-22200000000000000
χ2822222222-2-2-2-22222-2-2-2-200002000000000000-2-22222-2-200000000000000
χ29222-22-2-2-20000002-22-22-2002-2000002-2002i−2i2i−2i2i−2i2i−2i000000000000000000
χ30222-22-2-2-20000002-22-22-2002-2000002-200−2i2i−2i2i−2i2i−2i2i000000000000000000
χ31222-22-2-2-20000002-22-22-200-2200000-22002i−2i2i−2i−2i2i−2i2i000000000000000000
χ32222-22-2-2-20000002-22-22-200-2200000-2200−2i2i−2i2i2i−2i2i−2i000000000000000000
χ33222-22-2-2-20000002-2-22-222-20002i−2i2-2002i−2i00002i−2i−2i2i000000000000000000
χ34222-22-2-2-20000002-2-22-222-2000−2i2i2-200−2i2i0000−2i2i2i−2i000000000000000000
χ35222-22-2-2-20000002-2-22-22-220002i−2i-22002i−2i0000−2i2i2i−2i000000000000000000
χ36222-22-2-2-20000002-2-22-22-22000−2i2i-2200−2i2i00002i−2i−2i2i000000000000000000
χ37222-22-2-2-2000000-222-2-222-200000-2200002i−2i−2i2i00002i−2i2i−2i00000000000000
χ38222-22-2-2-2000000-222-2-222-200000-220000−2i2i2i−2i0000−2i2i−2i2i00000000000000
χ39222-22-2-2-2000000-222-2-22-22000002-200002i−2i−2i2i0000−2i2i−2i2i00000000000000
χ40222-22-2-2-2000000-222-2-22-22000002-20000−2i2i2i−2i00002i−2i2i−2i00000000000000
χ41222-22-2-2-2000000-22-222-2002-202i−2i00-22−2i2i00000000−2i2i2i−2i00000000000000
χ42222-22-2-2-2000000-22-222-2002-20−2i2i00-222i−2i000000002i−2i−2i2i00000000000000
χ43222-22-2-2-2000000-22-222-200-2202i−2i002-2−2i2i000000002i−2i−2i2i00000000000000
χ44222-22-2-2-2000000-22-222-200-220−2i2i002-22i−2i00000000−2i2i2i−2i00000000000000
χ4544-44-44-4-400004i−4i000000000000000000000000000000000002-22i−2i000000
χ4644-44-44-4-400004i−4i00000000000000000000000000000000000-22−2i2i000000
χ4744-44-44-4-40000−4i4i000000000000000000000000000000000002-2−2i2i000000
χ4844-44-44-4-40000−4i4i00000000000000000000000000000000000-222i−2i000000
χ494-444-4-44-4004-40000000000000000000000000000000002i−2i2i−2i0000000000
χ504-444-4-44-4004-4000000000000000000000000000000000−2i2i−2i2i0000000000
χ514-444-4-44-400-440000000000000000000000000000000002i−2i−2i2i0000000000
χ524-444-4-44-400-44000000000000000000000000000000000−2i2i2i−2i0000000000
χ534-4-4-4444-44-400000000000000000000000000000000000000000002-22-200
χ544-4-4-4444-44-40000000000000000000000000000000000000000000-22-2200
χ554-4-4-4444-4-4400000000000000000000000000000000000000000002-2-2200
χ564-4-4-4444-4-440000000000000000000000000000000000000000000-222-200
χ5788-8-8-8-888000000000000000000000000000000000000000000000000000
χ588-88-8-88-88000000000000000000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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