Finite Group Databasebeta

← Group #348300

Character table — Group #348300

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111144444444444488888888888888888888888881616161616161616161616163232
order12222222444444444444222222444444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111111-1-111-1-1-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1-1-11111-1-1
χ611111111111111111111-1-111-1-1-1-1-1-11111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-1-111
χ711111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1-1-111111111-1-1
χ91111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11-1
χ101111111111-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-11
χ111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11111-1-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-11111-1-1-1-111-1-11111-1-11-1
χ131111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-111-1-111-1-111-1-1-1-11111-1-1-11
χ141111111111-1-1-1-1-1-11111-1-111-1-1-1-11111-1-111-111-1-111-1-1-1-11111-1-1-1-1111-1
χ151111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111-1-11111-1-1-1-111-1-1111-1
χ161111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-11111-1-111-1-11111-1-111-1-1-11
χ17222222222-22222-2-2-22-2-20022000000-2-2-2-200-20022000000000000000000
χ18222222222-22222-2-2-22-2-200-2-2000000222200-200-2-2000000000000000000
χ19222222222-2-2-2-2-222-22-2-20022000000-2-22200200-2-2000000000000000000
χ20222222222-2-2-2-2-222-22-2-200-2-200000022-2-20020022000000000000000000
χ2122222222-2222-2-222-2-22-2220000-2-2-2-2000000-22200000000000000000000
χ2222222222-2222-2-222-2-22-2-2-200002222000000-2-2-200000000000000000000
χ2322222222-22-2-222-2-2-2-22-2220000-2-2220000002-2-200000000000000000000
χ2422222222-22-2-222-2-2-2-22-2-2-2000022-2-200000022200000000000000000000
χ2522222222-2-222-2-2-2-22-2-22000022000000002220000-2-2-2-200000000000000
χ2622222222-2-222-2-2-2-22-2-220000-2-200000000-2-220000222200000000000000
χ2722222222-2-2-2-222222-2-2200002200000000-2-2-2000022-2-200000000000000
χ2822222222-2-2-2-222222-2-220000-2-20000000022-20000-2-22200000000000000
χ29222-2-2-2-2222000000-2-2-2200002-2002i−2i002i−2i0002i−2i2i−2i002-200000000000000
χ30222-2-2-2-2222000000-2-2-2200002-200−2i2i00−2i2i000−2i2i−2i2i002-200000000000000
χ31222-2-2-2-2222000000-2-2-220000-22002i−2i00−2i2i0002i−2i−2i2i00-2200000000000000
χ32222-2-2-2-2222000000-2-2-220000-2200−2i2i002i−2i000−2i2i2i−2i00-2200000000000000
χ33222-2-2-2-222-20000002-22-22-200002-200002i−2i2i−2i000−2i2i2i−2i0000000000000000
χ34222-2-2-2-222-20000002-22-22-200002-20000−2i2i−2i2i0002i−2i−2i2i0000000000000000
χ35222-2-2-2-222-20000002-22-2-220000-2200002i−2i−2i2i000−2i2i−2i2i0000000000000000
χ36222-2-2-2-222-20000002-22-2-220000-220000−2i2i2i−2i0002i−2i2i−2i0000000000000000
χ37222-2-2-2-22-2200000022-2-2002-200002i−2i2-2002i−2i0−2i2i00−2i2i0000000000000000
χ38222-2-2-2-22-2200000022-2-2002-20000−2i2i2-200−2i2i02i−2i002i−2i0000000000000000
χ39222-2-2-2-22-2200000022-2-200-2200002i−2i-2200−2i2i0−2i2i002i−2i0000000000000000
χ40222-2-2-2-22-2200000022-2-200-220000−2i2i-22002i−2i02i−2i00−2i2i0000000000000000
χ41222-2-2-2-22-2-2000000-22222-22-22-2-2200-2200000000000-2200000000000000
χ42222-2-2-2-22-2-2000000-22222-2-22-22-22002-2000000000002-200000000000000
χ43222-2-2-2-22-2-2000000-2222-222-2-222-200-22000000000002-200000000000000
χ44222-2-2-2-22-2-2000000-2222-22-222-22-2002-200000000000-2200000000000000
χ4544-44-4-44-40000004-40000000000000000000000000000000002i−2i2i−2i000000
χ4644-44-4-44-40000004-4000000000000000000000000000000000−2i2i−2i2i000000
χ4744-44-4-44-4000000-440000000000000000000000000000000002i−2i−2i2i000000
χ4844-44-4-44-4000000-44000000000000000000000000000000000−2i2i2i−2i000000
χ494-44-44-44-400004-40000000000000000000000000000000000000002i−2i2i−2i00
χ504-44-44-44-400004-4000000000000000000000000000000000000000−2i2i−2i2i00
χ514-44-44-44-40000-440000000000000000000000000000000000000002i−2i−2i2i00
χ524-44-44-44-40000-44000000000000000000000000000000000000000−2i2i2i−2i00
χ534-4-4-4-4444004-40000000000000000000000000000000002-22-20000000000
χ544-4-4-4-4444004-4000000000000000000000000000000000-22-220000000000
χ554-4-4-4-444400-440000000000000000000000000000000002-2-220000000000
χ564-4-4-4-444400-44000000000000000000000000000000000-222-20000000000
χ5788-8-888-8-8000000000000000000000000000000000000000000000000000
χ588-888-88-8-8000000000000000000000000000000000000000000000000000
χ598-8-888-8-88000000000000000000000000000000000000000000000000000

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