Finite Group Databasebeta

← Group #179319

Character table — Group #179319

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111111114444444488816161616161616161616161616161616161616161616161616161616
order12222222444444442444444444444444444888888888888
χ111111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-11-1-1-11-111111-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111-11-1-1-11-1-1-1-1-11-1-1-1-1-1-1-111111111
χ51111111111111111111-11-11-1-1-111111-11-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111-11-11-1-1-11-1-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111111-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111
χ81111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111-1-11111-1-1-111-1-11-1-1111-1-11-11-111-1-111-1-111-1-1
χ101111111111-1-11111-1-1-111-1-11-1-11-1-1111-11-1-1-111-1-111-1-111
χ111111111111-1-11111-1-1-11-1-11-11-1-111-1-111-1111-1-1-1-111-1-111
χ121111111111-1-11111-1-1-11-1-11-11-1-1-1-11111-11-1-11111-1-111-1-1
χ131111111111-1-11111-1-1-1-111-1-111111-1-1-1-1-11-1-11111-1-1-1-111
χ141111111111-1-11111-1-1-1-111-1-1111-1-111-1-1-1111-1-1-1-11111-1-1
χ151111111111-1-11111-1-1-1-1-1111-11-111-1-1-111-1-1-111-1-11111-1-1
χ161111111111-1-11111-1-1-1-1-1111-11-1-1-111-111-111-1-111-1-1-1-111
χ17222222222-222-2-22-2-22-200002200000000-2-2000000000000
χ18222222222-222-2-22-2-22-20000-2-20000000022000000000000
χ19222222222-2-2-2-2-22-22-2200002-200000000-22000000000000
χ20222222222-2-2-2-2-22-22-220000-22000000002-2000000000000
χ2122222222-2222-2-2-22-2-220202000-200000-200000000000000
χ2222222222-2222-2-2-22-2-220-20-2000200000200000000000000
χ2322222222-22-2-2-2-2-2222-2020-2000-200000200000000000000
χ2422222222-22-2-2-2-2-2222-20-202000200000-200000000000000
χ2522222222-2-22222-2-22-2-2202000-200000-2000000000000000
χ2622222222-2-22222-2-22-2-2-20-20002000002000000000000000
χ2722222222-2-2-2-222-2-2-22220-2000200000-2000000000000000
χ2822222222-2-2-2-222-2-2-222-202000-2000002000000000000000
χ2944-44-44-4-40400000-400000000000000000000022−2200000000
χ3044-44-44-4-40400000-4000000000000000000000−222200000000
χ3144-44-44-4-40-400000400000000000000000002i2−2i20000000000
χ3244-44-44-4-40-40000040000000000000000000−2i22i20000000000
χ3344-4-44-44-4400000-40000000000000000000000000022−220000
χ3444-4-44-44-4400000-400000000000000000000000000−22220000
χ3544-4-44-44-4-40000040000000000000000000000002i2−2i2000000
χ3644-4-44-44-4-4000004000000000000000000000000−2i22i2000000
χ374-4-444-4-4400004-4000000000000000000000000000002i2−2i200
χ384-4-444-4-4400004-400000000000000000000000000000−2i22i200
χ394-4-444-4-440000-4400000000000000000000000000000002i2−2i2
χ404-4-444-4-440000-440000000000000000000000000000000−2i22i2
χ414-4-4-4-4444004-40000000000000002-22-20000000000000000
χ424-4-4-4-4444004-4000000000000000-22-220000000000000000
χ434-4-4-4-444400-440000000000000002-2-220000000000000000
χ444-4-4-4-444400-44000000000000000-222-20000000000000000
χ45888-8-8-8-88000000000000000000000000000000000000000
χ468-888-8-88-8000000000000000000000000000000000000000
χ478-88-888-8-8000000000000000000000000000000000000000

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