Finite Group Databasebeta

← Group #487822

Character table — Group #487822

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222244444442444442444444444444448888888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111-1-1-1111-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111-1-1-1-1-11-1-1-1-1-111-1-111111111-1-1
χ511111111111111-1-11111111-1-111-11-1-1-11-11111-1-1-1-1-1-1
χ611111111111111-1-1111111-11-11-11-11-1-1-11-1-1-1-11111-1-1
χ711111111111111-1-1111-1-1-11-1-1-11-11-1-1-11-1-1-1-1-1111111
χ811111111111111-1-1111-1-1-1-11-1-1-11-11-1-1-111111-1-1-1-111
χ9111111-1-11-1-1-11-111-1111-111-1-1-1-11-1-11-11111-1-111-1-11-1
χ10111111-1-11-1-1-11-111-1111-11-11-1-11-1111-1-1-1-1-111-1-1111-1
χ11111111-1-11-1-1-11-111-111-11-11-1-11-11-1-11-111-1-111-1-111-11
χ12111111-1-11-1-1-11-111-111-11-1-11-111-1111-1-1-111-1-111-1-1-11
χ13111111-1-11-1-1-11-1-1-1-1111-11111-1-1-1-11-111-111-1-1-1-111-11
χ14111111-1-11-1-1-11-1-1-1-1111-11-1-11-1111-1-11-11-1-11111-1-1-11
χ15111111-1-11-1-1-11-1-1-1-111-11-11111-1-1-11-111-1-1-11111-1-11-1
χ16111111-1-11-1-1-11-1-1-1-111-11-1-1-111111-1-11-1111-1-1-1-1111-1
χ172222222222-2-22200-2-2-2000200020-2000-200000000000
χ182222222222-2-22200-2-2-2000-2000-202000200000000000
χ1922222222-2222-2-200-22-20000200020-2000-20000000000
χ2022222222-2222-2-200-22-20000-2000-20200020000000000
χ2122222222-22-2-2-2-2222-2200000200000-2-2000000000000
χ2222222222-22-2-2-2-2-2-22-2200000-20000022000000000000
χ23222222-2-22-2222-2002-2-20002000-202000-200000000000
χ24222222-2-22-2222-2002-2-2000-200020-2000200000000000
χ25222222-2-2-2-222-2222-2-2200000-200000-22000000000000
χ26222222-2-2-2-222-22-2-2-2-22000002000002-2000000000000
χ27222222-2-2-2-2-2-2-220022-200002000-20-200020000000000
χ28222222-2-2-2-2-2-2-220022-20000-2000202000-20000000000
χ294444-4-4440-400000000022-2000-2000000000000000000
χ304444-4-4440-4000000000-2-220002000000000000000000
χ314444-4-4-4-4040000000002-2-20002000000000000000000
χ324444-4-4-4-404000000000-222000-2000000000000000000
χ334-44-44-4004000-400000000000000000000000000022−2200
χ344-44-44-4004000-4000000000000000000000000000−222200
χ354-44-44-400-4000400000000000000000000000002i2−2i20000
χ364-44-44-400-400040000000000000000000000000−2i22i20000
χ374-44-4-4400004i−4i00000000000000000000002-22i−2i000000
χ384-44-4-4400004i−4i0000000000000000000000-22−2i2i000000
χ394-44-4-440000−4i4i00000000000000000000002-2−2i2i000000
χ404-44-4-440000−4i4i0000000000000000000000-222i−2i000000
χ4188-8-800000000004-40000000000000000000000000000
χ4288-8-80000000000-440000000000000000000000000000
χ438-8-88008i−8i000000000000000000000000000000000000
χ448-8-8800−8i8i000000000000000000000000000000000000

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