Finite Group Databasebeta

← Group #253271

Character table — Group #253271

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222222224444224444444444222444444444444488888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-11-1-111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-11-111-1111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-1-1-11-1-1-1-1-1-11-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1-1-111111-11-1-11-1-111-1-111-1-111-1-111-1-1
χ61111111111111111-1-1-1-1-1-111111-1-11-1-11-111-1-1-1-111-1-111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-11111-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-111-11-1-1-11111-1-1-1-11111-1-1
χ911111111111111-1-11111-1-11111-1-111-111-1-1-1111111-1-1-1-1-1-1-1-1
χ1011111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111
χ1111111111111111-1-11111-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-1-1-11111
χ1211111111111111-1-11111-1-1-1-1-1-1-11-1-11-1-1-111-1-111111111-1-1-1-1
χ1311111111111111-1-1-1-1-1-1111111-111-111-11-1-1-1-111-1-1-1-111-1-111
χ1411111111111111-1-1-1-1-1-1111111-11-111-111-1-1-1-1-1-11111-1-111-1-1
χ1511111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11-111111-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-111-1-1-1-1-1-1-11-1-111111111-1-111-1-1-1-111
χ172222222222-2-2-2-20022-2-20022-2-200000000002-2000000000000
χ182222222222-2-2-2-20022-2-200-2-2220000000000-22000000000000
χ192222222222-2-2-2-200-2-2220022-2-20000000000-22000000000000
χ202222222222-2-2-2-200-2-22200-2-22200000000002-2000000000000
χ21222222-2-2-2-222-2-2000000002i−2i2i−2i000200-200000002i−2i00000000
χ22222222-2-2-2-222-2-2000000002i−2i2i−2i000-20020000000−2i2i00000000
χ23222222-2-2-2-222-2-200000000−2i2i−2i2i000200-20000000−2i2i00000000
χ24222222-2-2-2-222-2-200000000−2i2i−2i2i000-200200000002i−2i00000000
χ25222222-2-2-2-2-2-222000000002i−2i−2i2i00200-20000002i−2i0000000000
χ26222222-2-2-2-2-2-222000000002i−2i−2i2i00-2002000000−2i2i0000000000
χ27222222-2-2-2-2-2-22200000000−2i2i2i−2i00200-2000000−2i2i0000000000
χ28222222-2-2-2-2-2-22200000000−2i2i2i−2i00-20020000002i−2i0000000000
χ292222-2-2-222-22-22-2002-22-20000000200-20002-200000000000000
χ302222-2-2-222-22-22-2002-22-20000000-2002000-2200000000000000
χ312222-2-2-222-22-22-200-22-220000000200-2000-2200000000000000
χ322222-2-2-222-22-22-200-22-220000000-20020002-200000000000000
χ332222-2-2-222-2-22-22222-2-22220000-2000000-20000000000000000
χ342222-2-2-222-2-22-2222-222-2-2-20000-200000020000000000000000
χ352222-2-2-222-2-22-22-2-22-2-22-2-20000200000020000000000000000
χ362222-2-2-222-2-22-22-2-2-222-22200002000000-20000000000000000
χ374444-4-44-4-444-4-44000000000000000000000000000000000000
χ384444-4-44-4-44-444-4000000000000000000000000000000000000
χ394-44-44-444-4-40000000000000000000000000000000000002i2−2i200
χ404-44-44-444-4-4000000000000000000000000000000000000−2i22i200
χ414-44-44-4-4-4440000000000000000000000000000000022−22000000
χ424-44-44-4-4-44400000000000000000000000000000000−2222000000
χ434-44-4-444-44-400000000000000000000000000000000002i2−2i20000
χ444-44-4-444-44-40000000000000000000000000000000000−2i22i20000
χ454-44-4-44-44-440000000000000000000000000000000000000022−22
χ464-44-4-44-44-4400000000000000000000000000000000000000−2222
χ4788-8-800000000000000004i−4i0000000000000000000000000000
χ4888-8-80000000000000000−4i4i0000000000000000000000000000
χ498-8-8800000000004-40000000000000000000000000000000000
χ508-8-880000000000-440000000000000000000000000000000000

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