Finite Group Databasebeta

← Group #487649

Character table — Group #487649

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112244444488888888161616161616161616161616161616161616161616163232
order12222222224424444444222444444444444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-11-111-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-111-111-111-11-1-11111-1-1-1-1-1-1
χ41111111111111111-1-111-1-1-1-1-1-11-1-11-11-1-1-1-1-1-1111111
χ51111111111111-1-1111111-111-11-111-11-1-1-1-1-1-1-11111-1-1
χ61111111111111-1-1111111-1-1-1-1-1-11-1-11-1-1-11111-1-1-1-111
χ71111111111111-1-11-1-111-111111-1-11-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111-1-11-1-111-11-1-11-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-11-1-1-111-111111-11-111-1-1-11-1-11-111-1-111-1-11-1
χ101111111-1-11-1-1-111-111111-1-111-1-1-111-1-11-1-1-111-1-111-11
χ111111111-1-11-1-1-111-1-1-111-111-1-11-11-111-1-1111-1-1-1-111-11
χ121111111-1-11-1-1-111-1-1-111-11-11-1-1-11111-1-11-1-11111-1-11-1
χ131111111-1-11-1-1-1-1-1-11111111-1-111-1-1-1-11-11-1-11111-1-1-11
χ141111111-1-11-1-1-1-1-1-1111111-11-1-11-11-1-11-1111-1-1-1-1111-1
χ151111111-1-11-1-1-1-1-1-1-1-111-1-11-11111-1-1111-1-1-111-1-1111-1
χ161111111-1-11-1-1-1-1-1-1-1-111-1-1-111-1111-1111-111-1-111-1-1-11
χ172222222222-2-2222-200-2-2000000200-20-2000000000000
χ182222222222-2-22-2-2-200-2-2000000-200202000000000000
χ192222222-2-2222-222200-2-2000000-200-202000000000000
χ202222222-2-2222-2-2-2200-2-200000020020-2000000000000
χ21222222-222-222-200-2222-2-2000000-20020000000000000
χ22222222-222-222-200-2-2-22-22000000200-20000000000000
χ23222222-222-2-2-2-200200-22020020000000-2-20000000000
χ24222222-222-2-2-2-200200-220-200-20000000220000000000
χ25222222-2-2-2-222200-200-220200-200000002-20000000000
χ26222222-2-2-2-222200-200-220-20020000000-220000000000
χ27222222-2-2-2-2-2-22002222-2-2000000200-20000000000000
χ28222222-2-2-2-2-2-22002-2-22-22000000-20020000000000000
χ294444-4-404-40000000000000220-200-2000000000000000
χ304444-4-404-40000000000000-2-202002000000000000000
χ314444-4-40-4400000000000002-20-2002000000000000000
χ324444-4-40-440000000000000-220200-2000000000000000
χ334-44-44-400004i−4i00000000000000000000002-22i−2i000000
χ344-44-44-400004i−4i0000000000000000000000-22−2i2i000000
χ354-44-44-40000−4i4i00000000000000000000002-2−2i2i000000
χ364-44-44-40000−4i4i0000000000000000000000-222i−2i000000
χ374-44-4-44400-40000000000000000000000000000002i2−2i200
χ384-44-4-44400-4000000000000000000000000000000−2i22i200
χ394-44-4-44-4004000000000000000000000000000022−220000
χ404-44-4-44-40040000000000000000000000000000−22220000
χ4188-8-80000000004i−4i00000000000000000000000000000
χ4288-8-8000000000−4i4i00000000000000000000000000000
χ438-8-880000000000004-400000000000000000000000000
χ448-8-88000000000000-4400000000000000000000000000

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