Finite Group Databasebeta

← Group #247865

Character table — Group #247865

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50
size11112222224444888888888888161616161616161616161616161616161616161616161616
order12222244444444244444444444224444444444888888888888
χ111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-11111-1-11-11-1-11111-1-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111-1-11111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ51111111111111111-1-11111-1-111-11-1-1-111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111-1-11111-1-111-11-1-1-1-1-1-1-11-1-11111-1-1-1-11111
χ71111111111111111-1-1-1-111-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-11111111111-1-1-1-1
χ911111111111111-1-11111-1-111-1-1-11-11111-1-1-1-1-111-1-111-1-111-1-1
χ1011111111111111-1-11111-1-111-1-1-11-111-1-111-1-1-1-1-111-1-111-1-111
χ1111111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-111111-1-1-1-111-1-111
χ1211111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-111111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-111-1-11111-1-1-1-111
χ1411111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-1-111-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1111-111111-1-11-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1111-1111-1-1111-1-111-1-111-1-1-1-111
χ172222222222-2-2-2-2222200-2-2-2-200-202000000000000000000000
χ182222222222-2-2-2-222-2-200-2-2220020-2000000000000000000000
χ192222222222-2-2-2-2-2-2220022-2-20020-2000000000000000000000
χ202222222222-2-2-2-2-2-2-2-200222200-202000000000000000000000
χ21222222-2-2-2-222-2-22-200002-200000002-2000002-2000000000000
χ22222222-2-2-2-222-2-22-200002-20000000-2200000-22000000000000
χ23222222-2-2-2-222-2-2-220000-2200000002-200000-22000000000000
χ24222222-2-2-2-222-2-2-220000-220000000-22000002-2000000000000
χ25222222-2-2-2-2-2-2222-20022-2200220-20000000-200000000000000
χ26222222-2-2-2-2-2-2222-200-2-2-2200-2-2020000000200000000000000
χ27222222-2-2-2-2-2-222-2200222-200-2-20-20000000200000000000000
χ28222222-2-2-2-2-2-222-2200-2-22-20022020000000-200000000000000
χ292222-2-2-2-2222-22-2002-200002-20000000002-2000002-200000000
χ302222-2-2-2-2222-22-2002-200002-2000000000-2200000-2200000000
χ312222-2-2-2-2222-22-200-220000-220000000002-200000-2200000000
χ322222-2-2-2-2222-22-200-220000-22000000000-22000002-200000000
χ332222-2-2-2-222-22-22002-20000-2200000002-2000002-20000000000
χ342222-2-2-2-222-22-22002-20000-220000000-2200000-220000000000
χ352222-2-2-2-222-22-2200-2200002-200000002-200000-220000000000
χ362222-2-2-2-222-22-2200-2200002-20000000-22000002-20000000000
χ374444-4-444-4-44-4-44000000000000000000000000000000000000
χ384444-4-444-4-4-444-4000000000000000000000000000000000000
χ3944-4-44-44-44-400000000000000000000000000000000000022−2200
χ4044-4-44-44-44-4000000000000000000000000000000000000−222200
χ4144-4-44-4-44-440000000000000000000000000000000000000022−22
χ4244-4-44-4-44-4400000000000000000000000000000000000000−2222
χ4344-4-4-444-4-4400000000000000000000000000000000002i2−2i20000
χ4444-4-4-444-4-440000000000000000000000000000000000−2i22i20000
χ4544-4-4-44-444-4000000000000000000000000000000002i2−2i2000000
χ4644-4-4-44-444-400000000000000000000000000000000−2i22i2000000
χ478-88-8000000000000000000004i−4i000000000000000000000000
χ488-88-800000000000000000000−4i4i000000000000000000000000
χ498-8-88000000000000004i−4i000000000000000000000000000000
χ508-8-8800000000000000−4i4i000000000000000000000000000000

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