Finite Group Databasebeta

← Group #294609

Character table — Group #294609

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59
size1111111122224444444444888888888888888881616161616161616161616161616161616161616
order12222222222244444444444444444444444444422222444444488888888
χ111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111-1-111-1-111111111-1-1-1-1-1-11-1-11-1-11111-1-1-1-1
χ41111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-11111-11-1-11-1-1-1-1-1-11111
χ511111111111111111111111-1-111-1-11111111111-11111-1-11-1-1-11-1-1-1-1-1-1-1-1
χ611111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1111111111
χ711111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11-1-11-11-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-11-11111-1-1-1-1
χ9111111111111-1-11-1-1-1-1111-1111111-1-11111-1-1-1-1-111-1-1-1-1-11-11111-1-111-1-1
χ10111111111111-1-11-1-1-1-1111-1111111-1-1-1-1-1-11111-1-1-111-1-1-11-111-1-111-1-111
χ11111111111111-1-11-1-1-1-1111-111-1-111111111-1-1-1-11-1-1111-11-1-1-1-111-1-1-1-111
χ12111111111111-1-11-1-1-1-1111-111-1-11111-1-1-1-11111111-1-11-11-1-1-1-1-1-11111-1-1
χ13111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1111-1-111-1-11-11-1-111-1-111
χ14111111111111-1-11-1-1-1-1111-1-1-111-1-1-1-1-1-1-1-111111-1-11111-1-11-1111-1-111-1-1
χ15111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-111111-1-1-11111-1-1
χ16111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-11111-111-1-1-111111-111-1-1-1-111
χ1722222222222222-2-2-2-2-2-2-2-2200220022000000000000000-2000-200000000
χ1822222222222222-2-2-2-2-2-2-2-2200-2-200-2-20000000000000002000200000000
χ19222222222222-2-2-22222-2-2-2-2002200-2-20000000000000002000-200000000
χ20222222222222-2-2-22222-2-2-2-200-2-20022000000000000000-2000200000000
χ2122222222-2-2-2-222222-2-2-2-22-22200-2-20000000000000000200-20000000000
χ2222222222-2-2-2-222222-2-2-2-22-2-2-200220000000000000000-20020000000000
χ2322222222-2-2-2-222-2-2-22222-2-2000000000000000020000-20020-2000000000
χ2422222222-2-2-2-222-2-2-22222-2-20000000000000000-20000200-202000000000
χ2522222222-2-2-2-2-2-22-2-222-2-2222200-2-20000000000000000-20020000000000
χ2622222222-2-2-2-2-2-22-2-222-2-222-2-200220000000000000000200-20000000000
χ2722222222-2-2-2-2-2-2-222-2-222-22000000000000000020000-200-202000000000
χ2822222222-2-2-2-2-2-2-222-2-222-220000000000000000-2000020020-2000000000
χ2922-2-22-22-22-22-200200002-2-202i−2i002i−2i0000002i2i−2i−2i000000000000002-20000
χ3022-2-22-22-22-22-200200002-2-202i−2i002i−2i000000−2i−2i2i2i00000000000000-220000
χ3122-2-22-22-22-22-200200002-2-20−2i2i00−2i2i0000002i2i−2i−2i00000000000000-220000
χ3222-2-22-22-22-22-200200002-2-20−2i2i00−2i2i000000−2i−2i2i2i000000000000002-20000
χ3322-2-22-22-2-22-220020000-22-202i−2i00−2i2i002i2i−2i−2i00000000000000002-2000000
χ3422-2-22-22-2-22-220020000-22-202i−2i00−2i2i00−2i−2i2i2i0000000000000000-22000000
χ3522-2-22-22-2-22-220020000-22-20−2i2i002i−2i002i2i−2i−2i0000000000000000-22000000
χ3622-2-22-22-2-22-220020000-22-20−2i2i002i−2i00−2i−2i2i2i00000000000000002-2000000
χ37444-4-44-4-44-4-440000000000000000000000000000000000000000000002i2−2i2
χ38444-4-44-4-44-4-44000000000000000000000000000000000000000000000−2i22i2
χ39444-4-44-4-4-444-400000000000000000000000000000000000000000002i2−2i200
χ40444-4-44-4-4-444-40000000000000000000000000000000000000000000−2i22i200
χ4144-44-4-4-4444-4-400000000000004i−4i00000000000000000000000000000000
χ4244-44-4-4-4444-4-40000000000000−4i4i00000000000000000000000000000000
χ4344-44-4-4-44-4-444000000000000000004-40000000000000000000000000000
χ4444-44-4-4-44-4-44400000000000000000-440000000000000000000000000000
χ4544-4-44-44-44-44-400-40000-4440000000000000000000000000000000000000
χ4644-4-44-44-4-44-4400-400004-440000000000000000000000000000000000000
χ474-4444-4-4-400004-4000000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ484-4444-4-4-400004-400000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ494-4444-4-4-40000-44000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ504-4444-4-4-40000-4400000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ514-44-4-4-44400000004-4000000000000000000000002-22-2000000000000000
χ524-44-4-4-44400000004-400000000000000000000000-22-22000000000000000
χ534-44-4-4-4440000000-44000000000000000000000002-2-22000000000000000
χ544-44-4-4-4440000000-4400000000000000000000000-222-2000000000000000
χ554-4-4-444-440000000004-40000000000002-2-222-2-2200000000000000000000
χ564-4-4-444-440000000004-4000000000000-222-2-222-200000000000000000000
χ574-4-4-444-44000000000-440000000000002-2-22-222-200000000000000000000
χ584-4-4-444-44000000000-44000000000000-222-22-2-2200000000000000000000
χ598-8-88-888-8000000000000000000000000000000000000000000000000000

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