Finite Group Databasebeta

← Group #176908

Character table — Group #176908

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111111114444444444888888888816161616161616161616161616161616161616163232
order12222222444444444424444444442444444488888888888844
χ111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-11-1-1-1-1-11-1-1-1111111111-1-1-1-1-1-1
χ411111111111111111111111-1-11-1-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1111111
χ51111111111111111111-1-1-1-111111-11-1-11-1-1-11111-1-1-1-11111-1-1
χ61111111111111111111-1-1-1-111111-11-1-11-1-1-1-1-1-1-11111-1-1-1-111
χ71111111111111111111-1-1-1-1-1-11-1-11-11-1-111-11111-1-1-1-1-1-1-1-111
χ81111111111111111111-1-1-1-1-1-11-1-11-11-1-111-1-1-1-1-111111111-1-1
χ9111111111-1-1-1-111111-111-1-111-1-1-1-1-1-1-1111111-1-111-1-111-1-11-1
χ10111111111-1-1-1-111111-111-1-111-1-1-1-1-1-1-11111-1-111-1-111-1-111-11
χ11111111111-1-1-1-111111-111-1-1-1-1-111111-1-1-1-1111-1-111-1-1-1-111-11
χ12111111111-1-1-1-111111-111-1-1-1-1-111111-1-1-1-11-1-111-1-11111-1-11-1
χ13111111111-1-1-1-111111-1-1-11111-1-1-11-1111-1-1-111-1-1-1-11111-1-1-11
χ14111111111-1-1-1-111111-1-1-11111-1-1-11-1111-1-1-1-1-11111-1-1-1-1111-1
χ15111111111-1-1-1-111111-1-1-111-1-1-111-11-11-111-111-1-1-1-111-1-1111-1
χ16111111111-1-1-1-111111-1-1-111-1-1-111-11-11-111-1-1-11111-1-111-1-1-11
χ172222222222222-2-2-2-22-2222200-200000-2000-200000000000000
χ182222222222222-2-2-2-22-2-2-2-2-200-2000002000200000000000000
χ19222222222-2-2-2-2-2-2-2-22222-2-2002000002000-200000000000000
χ20222222222-2-2-2-2-2-2-2-222-2-22200200000-2000200000000000000
χ2122222222-222-2-222-2-2-22000022-2220-200-200000000000000000
χ2222222222-222-2-222-2-2-220000-2-2-2-2-20200200000000000000000
χ2322222222-222-2-2-2-222-2-200000020020-2002-2000000000000000
χ2422222222-222-2-2-2-222-2-2000000200-20200-22000000000000000
χ2522222222-2-2-22222-2-2-2-20000222-2-20200-200000000000000000
χ2622222222-2-2-22222-2-2-2-20000-2-22220-200200000000000000000
χ2722222222-2-2-222-2-222-22000000-20020-200-22000000000000000
χ2822222222-2-2-222-2-222-22000000-200-202002-2000000000000000
χ29444-44-4-4-4400000000-404-400000000000000000000000000000
χ30444-44-4-4-4400000000-40-4400000000000000000000000000000
χ31444-44-4-4-4-40000000040004i−4i000000000000000000000000000
χ32444-44-4-4-4-4000000004000−4i4i000000000000000000000000000
χ3344-4-4-44-4400000004-400000000000000000000000002i2−2i2000000
χ3444-4-4-44-4400000004-40000000000000000000000000−2i22i2000000
χ3544-4-4-44-440000000-44000000000000000000000002i2−2i200000000
χ3644-4-4-44-440000000-4400000000000000000000000−2i22i200000000
χ374-444-4-4-4404i−4i00000000000000000000000002-22i−2i0000000000
χ384-444-4-4-4404i−4i0000000000000000000000000-22−2i2i0000000000
χ394-444-4-4-440−4i4i00000000000000000000000002-2−2i2i0000000000
χ404-444-4-4-440−4i4i0000000000000000000000000-222i−2i0000000000
χ414-44-4-444-4000004-4000000000004i−4i0000000000000000000000
χ424-44-4-444-4000004-400000000000−4i4i0000000000000000000000
χ434-44-4-444-400000-44000000004i−4i0000000000000000000000000
χ444-44-4-444-400000-4400000000−4i4i0000000000000000000000000
χ454-4-4444-4-40004i−4i00000000000000000000000000000002i−2i2-200
χ464-4-4444-4-40004i−4i0000000000000000000000000000000−2i2i-2200
χ474-4-4444-4-4000−4i4i00000000000000000000000000000002i−2i-2200
χ484-4-4444-4-4000−4i4i0000000000000000000000000000000−2i2i2-200
χ4988-88-8-88-8000000000000000000000000000000000000000000
χ508-8-8-88-888000000000000000000000000000000000000000000

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