Finite Group Databasebeta

← Group #251849

Character table — Group #251849

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size111122444444444488888888888888888816161616161616161616161632323232
order12222222222222222222444444444444444444444444444444
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1
χ311111111111111111111-1-111111111-1-1-1-1-11-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1
χ51111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11-111-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1-1111111-1-1
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111
χ91111111-1-1-1-11111111-1-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-11-11-1
χ101111111-1-1-1-11111111-1-111-1-1-1-111-1-111111-1-1-111-1-1-1-1111-1-11
χ111111111-1-1-1-11111111-1-1-1-111-1-111-1-11111-1111-1-1-1-1-1-111-111-1
χ121111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-11-11
χ131111111-1-1-1-111111-1-1111111-1-1-1-111-1-1-1-111-1-1-1-111-1-111-11-11
χ141111111-1-1-1-111111-1-11111-1-1-1-1-1-11111111-1-1-111-1-111-1-1-111-1
χ151111111-1-1-1-111111-1-111-1-111-1-1-1-1111111-1111-1-1-1-111-1-11-1-11
χ161111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1111-11-1
χ1722222222222-2-2-2-2200000000-2-2000022-2-20000002-200000000
χ1822222222222-2-2-2-2200000000-2-20000-2-222000000-2200000000
χ192222222-2-2-2-2-2-2-2-220000000022000022-2-2000000-2200000000
χ202222222-2-2-2-2-2-2-2-2200000000220000-2-2220000002-200000000
χ21222222-222-2-222-2-2-2000000222-2000000000-2002-20000000000
χ22222222-222-2-222-2-2-2000000-2-22-2000000000200-220000000000
χ23222222-222-2-2-2-222-200002200-2200000000-202-2000000000000
χ24222222-222-2-2-2-222-20000-2-200-220000000020-22000000000000
χ25222222-2-2-22222-2-2-200000022-22000000000-200-220000000000
χ26222222-2-2-22222-2-2-2000000-2-2-220000000002002-20000000000
χ27222222-2-2-222-2-222-2000022002-200000000-20-22000000000000
χ28222222-2-2-222-2-222-20000-2-2002-200000000202-2000000000000
χ292222-2-2200002-22-2-2002200000000-2-22i−2i2i−2i000000002i−2i000000
χ302222-2-2200002-22-2-2002200000000-2-2−2i2i−2i2i00000000−2i2i000000
χ312222-2-2200002-22-2-200-2-200000000222i−2i2i−2i00000000−2i2i000000
χ322222-2-2200002-22-2-200-2-20000000022−2i2i−2i2i000000002i−2i000000
χ332222-2-220000-22-22-22200000000-2-2002i−2i−2i2i00000000002i−2i0000
χ342222-2-220000-22-22-22200000000-2-200−2i2i2i−2i0000000000−2i2i0000
χ352222-2-220000-22-22-2-2-20000000022002i−2i−2i2i0000000000−2i2i0000
χ362222-2-220000-22-22-2-2-2000000002200−2i2i2i−2i00000000002i−2i0000
χ374444-4-4-400004-4-4440000000000000000000000000000000000
χ384444-4-4-40000-444-440000000000000000000000000000000000
χ394-4-444-40004-4000002-22-20000002-22-200000000000000000000
χ404-4-444-40004-400000-22-22000000-22-2200000000000000000000
χ414-4-444-4000-44000002-2-220000002-2-2200000000000000000000
χ424-4-444-4000-4400000-222-2000000-222-200000000000000000000
χ434-4-44-4404-400000002-22-2000000-22-2200000000000000000000
χ444-4-44-4404-40000000-22-220000002-22-200000000000000000000
χ454-4-44-440-4400000002-2-22000000-222-200000000000000000000
χ464-4-44-440-440000000-222-20000002-2-2200000000000000000000
χ4788-8-80000000000000000004i−4i00000000000000000000000000
χ4888-8-8000000000000000000−4i4i00000000000000000000000000
χ498-88-800000000000000004i−4i0000000000000000000000000000
χ508-88-80000000000000000−4i4i0000000000000000000000000000

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