Finite Group Databasebeta

← Group #487775

Character table — Group #487775

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112244444488888888161616161616161616161616161616161616161616163232
order12222222224422244444244444444444444444888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111-11-11-1111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-1111-11-111-1-111-11-1-11111-1-1-1-1-1-1
χ41111111111111111-1-111-1-1-1-1-11-1-1-11-11-1-1-1-1-1-1111111
χ51111111111111-1-111111111-11-11-11-11-1-1-1-1-1-1-11111-1-1
χ61111111111111-1-111111-11-1-1-1-11-1-1-11-1-1-11111-1-1-1-111
χ71111111111111-1-11-1-1111-1111-1-111-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111-1-11-1-111-1-1-11-1-1-11-1-1-1-11111111111-1-1
χ91111111-1-11-1-1-111-111111-11-1-1-111-1-1-111-111-1-111-1-11-1
χ101111111-1-11-1-1-111-11111-1-1-1-11-1111-1-111-1-1-111-1-111-11
χ111111111-1-11-1-1-111-1-1-1111111-1-1-1-1-1-111-1111-1-1-1-111-11
χ121111111-1-11-1-1-111-1-1-111-11-111-1-1-11-111-11-1-11111-1-11-1
χ131111111-1-11-1-1-1-1-1-111111-111-111-1-11-1-1-11-1-11111-1-1-11
χ141111111-1-11-1-1-1-1-1-11111-1-1-11111-111-1-1-1111-1-1-1-1111-1
χ151111111-1-11-1-1-1-1-1-1-1-111111-1-11-11-111-11-1-1-111-1-1111-1
χ161111111-1-11-1-1-1-1-1-1-1-111-11-1-111-11111-11-111-1-111-1-1-11
χ172222222222-2-2222-200-2-2000002000-20-2000000000000
χ182222222222-2-22-2-2-200-2-200000-2000202000000000000
χ192222222-2-2222-222200-2-200000-200020-2000000000000
χ202222222-2-2222-2-2-2200-2-2000002000-202000000000000
χ21222222-222-222-200-222-220-20000-200020000000000000
χ22222222-222-222-200-2-2-2-220200002000-20000000000000
χ23222222-222-2-2-2-2002002-2000200020000-2-20000000000
χ24222222-222-2-2-2-2002002-2000-2000-20000220000000000
χ25222222-2-2-2-222200-2002-20002000-200002-20000000000
χ26222222-2-2-2-222200-2002-2000-200020000-220000000000
χ27222222-2-2-2-2-2-2200222-22020000-2000-20000000000000
χ28222222-2-2-2-2-2-22002-2-2-220-20000200020000000000000
χ294444-4-404-40000000000020-202000-2000000000000000
χ304444-4-404-400000000000-2020-20002000000000000000
χ314444-4-40-440000000000020-20-20002000000000000000
χ324444-4-40-4400000000000-20202000-2000000000000000
χ3344-4-44-4400-400000000000000000000000000000022−2200
χ3444-4-44-4400-4000000000000000000000000000000−222200
χ3544-4-44-4-400400000000000000000000000000002i2−2i20000
χ3644-4-44-4-40040000000000000000000000000000−2i22i20000
χ3744-4-4-4400004i−4i00000000000000000000002-22i−2i000000
χ3844-4-4-4400004i−4i0000000000000000000000-22−2i2i000000
χ3944-4-4-440000−4i4i00000000000000000000002-2−2i2i000000
χ4044-4-4-440000−4i4i0000000000000000000000-222i−2i000000
χ418-88-80000000000004i−4i00000000000000000000000000
χ428-88-8000000000000−4i4i00000000000000000000000000
χ438-8-880000000004-400000000000000000000000000000
χ448-8-88000000000-4400000000000000000000000000000

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