Finite Group Databasebeta

← Group #253449

Character table — Group #253449

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222222244444444444444444444444444444444448888
χ111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-111-1-1
χ411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-111
χ5111111111111111111-1-111-1-1-1-111111111-111-1-1-1-1-1-11-1-1-1-111
χ6111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11-1-111-1-1
χ7111111111111111111-1-1-1-1111111111111-1-1-11111-1-1-111-1-1-1-1
χ8111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ91111111-1-1-1-111111-1-1111111111111-1-1-1-11-1-111-1-1-1-11-1-11-11-1
χ101111111-1-1-1-111111-1-111111111-1-1-1-111111-1-1-1-111-1-11-1-1-11-11
χ111111111-1-1-1-111111-1-111-1-1-1-1-1-11111-1-1-1-1111-1-111-1-1-1111-1-11
χ121111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-111-111-1
χ131111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-111-1
χ141111111-1-1-1-111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-111-1-1111111-1-11
χ151111111-1-1-1-111111-1-1-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-11-11
χ161111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-11-11-1
χ17222222222222-2-2-2-2-2-2000022-2-20000000000000000002-20000
χ18222222222222-2-2-2-2-2-20000-2-222000000000000000000-220000
χ192222222-2-2-2-22-2-2-2-222000022-2-2000000000000000000-220000
χ202222222-2-2-2-22-2-2-2-2220000-2-2220000000000000000002-20000
χ21222222-222-2-2-222-2-22-2002200000000000002-2000000-2000000
χ22222222-222-2-2-222-2-22-200-2-20000000000000-220000002000000
χ23222222-222-2-2-2-2-222-222200000000000000-2000000-220000000
χ24222222-222-2-2-2-2-222-22-2-20000000000000020000002-20000000
χ25222222-2-2-222-222-2-2-2200220000000000000-22000000-2000000
χ26222222-2-2-222-222-2-2-2200-2-200000000000002-20000002000000
χ27222222-2-2-222-2-2-2222-22200000000000000-20000002-20000000
χ28222222-2-2-222-2-2-2222-2-2-2000000000000002000000-220000000
χ292222-2-220000-22-22-20000002i−2i2i−2i00002i2i−2i−2i000002-2000000000
χ302222-2-220000-22-22-20000002i−2i2i−2i0000−2i−2i2i2i00000-22000000000
χ312222-2-220000-22-22-2000000−2i2i−2i2i00002i2i−2i−2i00000-22000000000
χ322222-2-220000-22-22-2000000−2i2i−2i2i0000−2i−2i2i2i000002-2000000000
χ332222-2-220000-2-22-220000002i−2i−2i2i2i2i−2i−2i00000002-200000000000
χ342222-2-220000-2-22-220000002i−2i−2i2i−2i−2i2i2i0000000-2200000000000
χ352222-2-220000-2-22-22000000−2i2i2i−2i2i2i−2i−2i0000000-2200000000000
χ362222-2-220000-2-22-22000000−2i2i2i−2i−2i−2i2i2i00000002-200000000000
χ374444-4-4-4000044-4-440000000000000000000000000000000000
χ384444-4-4-400004-444-40000000000000000000000000000000000
χ3944-4-44-404-4000000000000000002-22-22-22-20000000000000000
χ4044-4-44-404-400000000000000000-22-22-22-220000000000000000
χ4144-4-44-40-44000000000000000002-22-2-22-220000000000000000
χ4244-4-44-40-4400000000000000000-22-222-22-20000000000000000
χ4344-4-4-440004-40000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ4444-4-4-440004-4000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ4544-4-4-44000-440000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ4644-4-4-44000-44000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ478-88-8000000000000004i−4i000000000000000000000000000000
χ488-88-800000000000000−4i4i000000000000000000000000000000
χ498-8-8800000000000000004i−4i0000000000000000000000000000
χ508-8-880000000000000000−4i4i0000000000000000000000000000

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