Finite Group Databasebeta

← Group #487850

Character table — Group #487850

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122224444488888816161616161616161616161616161616161616161616163232
order12222244444442444442244444444444448888888888
χ111111111111111111111111111111111111111111111
χ211111111111111111111-11-11111-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111-11-1111-1-111-1-11-1-1-1-1-1-1-1-1-1-111
χ41111111111111111111-1-1-1-111-1-1-1-1-1-11-1-111111111-1-1
χ5111111111111111-1-11111-11-1-11-1111-1-11-1-1-1-1-11111-1-1
χ6111111111111111-1-1111-1-1-1-1-11-1-1-11-1-11-11111-1-1-1-111
χ7111111111111111-1-111-1111-1-1-1111-11-1-111111-1-1-1-1-1-1
χ8111111111111111-1-111-1-11-1-1-1-11-1-1-11-1-11-1-1-1-1111111
χ9111111-1-11-1-1-11-1-1111111-111-1-11-1-111-1-1-111-1-111-1-11-1
χ10111111-1-11-1-1-11-1-111111-1-1-11-1-111111-1-1-1-1-111-1-111-11
χ11111111-1-11-1-1-11-1-11111-11111-11-1-1-1-1-1-111-1-111-1-1111-1
χ12111111-1-11-1-1-11-1-11111-1-11-11-11-111-1-1-11111-1-111-1-1-11
χ13111111-1-11-1-1-11-1-1-1-1111111-11-1-1-1-11-11-11-1-11111-1-1-11
χ14111111-1-11-1-1-11-1-1-1-1111-11-1-11-1-1111-11-1111-1-1-1-1111-1
χ15111111-1-11-1-1-11-1-1-1-111-11-11-1111-1-1-1111-111-1-1-1-111-11
χ16111111-1-11-1-1-11-1-1-1-111-1-1-1-1-111111-1111-1-1-11111-1-11-1
χ172222222222-2-222-200-2-200200002000-200-20000000000
χ182222222222-2-222-200-2-200-20000-200020020000000000
χ1922222222-2222-2-2-2002-22000002000-200-200000000000
χ2022222222-2222-2-2-2002-2-200000-2000200200000000000
χ2122222222-22-2-2-2-2222-220000-2-20000002000000000000
χ2222222222-22-2-2-2-22-2-2-22000022000000-2000000000000
χ23222222-2-22-2222-2200-2-20020000-2000200-20000000000
χ24222222-2-22-2222-2200-2-200-200002000-20020000000000
χ25222222-2-2-2-222-22-222-220000-22000000-2000000000000
χ26222222-2-2-2-222-22-2-2-2-2200002-20000002000000000000
χ27222222-2-2-2-2-2-2-222002-2200000-2000-200200000000000
χ28222222-2-2-2-2-2-2-222002-2-2000002000200-200000000000
χ294444-4-4440-4000000000020-200002-2000000000000000
χ304444-4-4440-40000000000-2020000-22000000000000000
χ314444-4-4-4-404000000000020-20000-22000000000000000
χ324444-4-4-4-4040000000000-20200002-2000000000000000
χ3344-4-44-4004000-4000000000000000000000000022−220000
χ3444-4-44-4004000-40000000000000000000000000−22220000
χ3544-4-44-400-400040000000000000000000000000002i2−2i200
χ3644-4-44-400-40004000000000000000000000000000−2i22i200
χ3744-4-4-4400004i−4i00000000000000000000002i−2i2-2000000
χ3844-4-4-4400004i−4i0000000000000000000000−2i2i-22000000
χ3944-4-4-440000−4i4i00000000000000000000002i−2i-22000000
χ4044-4-4-440000−4i4i0000000000000000000000−2i2i2-2000000
χ418-88-8000000000004i−4i000000000000000000000000000
χ428-88-800000000000−4i4i000000000000000000000000000
χ438-8-88008i−8i000000000000000000000000000000000000
χ448-8-8800−8i8i000000000000000000000000000000000000

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