Finite Group Databasebeta

← Group #177782

Character table — Group #177782

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111114444444444444488888888888816161616161616161616161616161616161616161616
order12222222444444444444444444444444442244444444888888888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1111-1-1-11-11-111-1-111-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-11-1111-11-1-1-111-1-111-1-111
χ1111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-11-1-11-1-1111-1-1-1-111-1-111
χ1211111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-11111-1-11-1-11111-1-111-1-1
χ1311111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-11-1-1-111-1-1-11111-1-1-1-111
χ1411111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-1-1111-111-111-1-1-1-11111-1-1
χ1511111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1111-1-1-1-11-11-1-111-1-11111-1-1
χ1611111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-111-11-1111-1-111-1-1-1-111
χ17222222222222-2-2-2-222-2-2-2-200002222000000000000-2-2000000000000
χ18222222222222-2-2-2-222-2-2-2-20000-2-2-2-200000000000022000000000000
χ192222222222-2-222-2-2-2-222-2-2222200000000000000-2-200000000000000
χ202222222222-2-222-2-2-2-222-2-2-2-2-2-2000000000000002200000000000000
χ212222222222-2-2-2-222-2-2-2-2220000000022-2-200-22000000000000000000
χ222222222222-2-2-2-222-2-2-2-22200000000-2-222002-2000000000000000000
χ2322222222-2-22222-2-2-2-2-2-22200000000222200-2-2000000000000000000
χ2422222222-2-22222-2-2-2-2-2-22200000000-2-2-2-20022000000000000000000
χ2522222222-2-222-2-222-2-222-2-222-2-200000000000000-2200000000000000
χ2622222222-2-222-2-222-2-222-2-2-2-222000000000000002-200000000000000
χ2722222222-2-2-2-2222222-2-2-2-2000022-2-2000000000000-22000000000000
χ2822222222-2-2-2-2222222-2-2-2-20000-2-2220000000000002-2000000000000
χ29444-44-4-4-4000000004-400000000004-400000000000000000000000000
χ30444-44-4-4-4000000004-40000000000-4400000000000000000000000000
χ31444-44-4-4-400000000-44000000004-40000000000000000000000000000
χ32444-44-4-4-400000000-4400000000-440000000000000000000000000000
χ3344-44-44-4-400000000004-400004-4000000000000000000000000000000
χ3444-44-44-4-400000000004-40000-44000000000000000000000000000000
χ3544-44-44-4-40000000000-44004-400000000000000000000000000000000
χ3644-44-44-4-40000000000-4400-4400000000000000000000000000000000
χ3744-4-4-4-4444-40000000000000000000000000000000000000000002-22-2
χ3844-4-4-4-4444-4000000000000000000000000000000000000000000-22-22
χ3944-4-4-4-444-440000000000000000000000000000000000000000002-2-22
χ4044-4-4-4-444-44000000000000000000000000000000000000000000-222-2
χ414-444-4-4-440000004i−4i0000000000000000002-2002i−2i0000000000000000
χ424-444-4-4-440000004i−4i000000000000000000-2200−2i2i0000000000000000
χ434-444-4-4-44000000−4i4i0000000000000000002-200−2i2i0000000000000000
χ444-444-4-4-44000000−4i4i000000000000000000-22002i−2i0000000000000000
χ454-44-4-444-400004-400000000000000000000000000000000002i−2i2i−2i0000
χ464-44-4-444-400004-40000000000000000000000000000000000−2i2i−2i2i0000
χ474-44-4-444-40000-4400000000000000000000000000000000002i−2i−2i2i0000
χ484-44-4-444-40000-440000000000000000000000000000000000−2i2i2i−2i0000
χ494-4-444-44-4004-4000000000000000000000000000000002i−2i2i−2i00000000
χ504-4-444-44-4004-400000000000000000000000000000000−2i2i−2i2i00000000
χ514-4-444-44-400-44000000000000000000000000000000002i−2i−2i2i00000000
χ524-4-444-44-400-4400000000000000000000000000000000−2i2i2i−2i00000000
χ534-4-4-444-440000000000004-400000000004-40000000000000000000000
χ544-4-4-444-440000000000004-40000000000-440000000000000000000000
χ554-4-4-444-44000000000000-44000000004-4000000000000000000000000
χ564-4-4-444-44000000000000-4400000000-44000000000000000000000000

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