Finite Group Databasebeta

← Group #176919

Character table — Group #176919

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444444444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111-1-1111-1-1-1-1-11-11-1-11111-1-1-1-11111-1-1
χ4111111111111111111111-1-1111-1-1-1-1-11-11-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111-1-1111-1-1111-1-1-1-1-11-111111111-1-1-1-1-1-1
χ61111111111111111111-1-1111-1-1111-1-1-1-1-11-1-1-1-1-1-1-1-1-1111111
χ71111111111111111111-1-1-1-11-1-1-1-1-111-11-1-111111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-11-1-1-1-1-111-11-1-11-1-1-1-111111111-1-1
χ911111111-1-11-1-111111-11111-1-1-1-1-11-111-1-1-1111-1-111-1-111-1-11-1
χ1011111111-1-11-1-111111-11111-1-1-1-1-11-111-1-1-11-1-111-1-111-1-111-11
χ1111111111-1-11-1-111111-111-1-1-1-1-111-11-111-11-111-1-1-1-11111-1-1-11
χ1211111111-1-11-1-111111-111-1-1-1-1-111-11-111-11-1-1-11111-1-1-1-1111-1
χ1311111111-1-11-1-111111-1-1-111-111-1-111-1-111-1-111-1-111-1-1-1-111-11
χ1411111111-1-11-1-111111-1-1-111-111-1-111-1-111-1-1-1-111-1-11111-1-11-1
χ1511111111-1-11-1-111111-1-1-1-1-1-11111-1-11-1-111111-1-1-1-111-1-1111-1
χ1611111111-1-11-1-111111-1-1-1-1-1-11111-1-11-1-1111-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-20022-20022-200000-2000000000000000
χ182222222222222-2-2-2-22-200-2-2-200-2-22000002000000000000000
χ192222222222-2-2-222-2-2-220000-2000002-20-200200000000000000
χ202222222222-2-2-222-2-2-220000-200000-220200-200000000000000
χ212222222222-2-2-2-2-222-2-222002-2-200000-2020000000000000000
χ222222222222-2-2-2-2-222-2-2-2-2002220000020-20000000000000000
χ2322222222-2-22-2-2-2-2-2-2220022200-2-2-2000002000000000000000
χ2422222222-2-22-2-2-2-2-2-22200-2-220022200000-2000000000000000
χ2522222222-2-2-22222-2-2-2-20000200000220-200-200000000000000
χ2622222222-2-2-22222-2-2-2-20000200000-2-20200200000000000000
χ2722222222-2-2-222-2-222-222200-22200000-20-20000000000000000
χ2822222222-2-2-222-2-222-22-2-200-2-2-2000002020000000000000000
χ29444-4-44-4-400000004-400000004-4000000000000000000000000
χ30444-4-44-4-400000004-40000000-44000000000000000000000000
χ31444-4-44-4-40000000-44004-400000000000000000000000000000
χ32444-4-44-4-40000000-4400-4400000000000000000000000000000
χ3344-444-4-4-4000004-4000000000000000000000000022−2200000000
χ3444-444-4-4-4000004-40000000000000000000000000−222200000000
χ3544-444-4-4-400000-4400000000000000000000000000022−22000000
χ3644-444-4-4-400000-44000000000000000000000000000−2222000000
χ3744-4-4-4-4444i−4i00000000000000000000000000000000002-22i−2i00
χ3844-4-4-4-4444i−4i0000000000000000000000000000000000-22−2i2i00
χ3944-4-4-4-444−4i4i00000000000000000000000000000000002-2−2i2i00
χ4044-4-4-4-444−4i4i0000000000000000000000000000000000-222i−2i00
χ414-444-4-44-4004000000-4000000004-40000000000000000000000
χ424-444-4-44-4004000000-400000000-440000000000000000000000
χ434-444-4-44-400-400000040004i−4i000000000000000000000000000
χ444-444-4-44-400-40000004000−4i4i000000000000000000000000000
χ454-44-44-4-440004i−4i000000000000000000000002i−2i2-20000000000
χ464-44-44-4-440004i−4i00000000000000000000000−2i2i-220000000000
χ474-44-44-4-44000−4i4i000000000000000000000002i−2i-220000000000
χ484-44-44-4-44000−4i4i00000000000000000000000−2i2i2-20000000000
χ498-8-88-88-88000000000000000000000000000000000000000000
χ508-8-8-8888-8000000000000000000000000000000000000000000

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