Finite Group Databasebeta

← Group #487643

Character table — Group #487643

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size11112244444488888888161616161616161616161616161616161616161616163232
order12222222224422244444222444444444444444888888
χ111111111111111111111111111111111111111111111
χ21111111111111111111111-11-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111-1-111-1-11-111-1111-11-1-11111-1-1-1-1-1-1
χ41111111111111111-1-111-1-1-1-1-11-1-1-11-11-1-1-1-1-1-1111111
χ51111111111111-1-1111111-11-11-1111-11-1-1-1-1-1-1-11111-1-1
χ61111111111111-1-1111111-1-1-1-1-11-1-1-11-1-1-11111-1-1-1-111
χ71111111111111-1-11-1-111-11111-1-111-1-1-111-1-1-1-1-1-1-1-111
χ81111111111111-1-11-1-111-11-11-1-1-1-1-1-1-1-11111111111-1-1
χ91111111-1-11-1-1-111-11111111-11-1-1-1-11-1-11-111-1-111-1-11-1
χ101111111-1-11-1-1-111-1111111-1-1-1-1-1111-1-11-1-1-111-1-111-11
χ111111111-1-11-1-1-111-1-1-111-1-1111-11-1-111-1-1111-1-1-1-111-11
χ121111111-1-11-1-1-111-1-1-111-1-1-11-1-111111-1-11-1-11111-1-11-1
χ131111111-1-11-1-1-1-1-1-111111-11111-1-1-1-1-11-11-1-11111-1-1-11
χ141111111-1-11-1-1-1-1-1-111111-1-11-11-111-1-11-1111-1-1-1-1111-1
χ151111111-1-11-1-1-1-1-1-1-1-111-111-1111-1-1-1111-1-1-111-1-1111-1
χ161111111-1-11-1-1-1-1-1-1-1-111-11-1-1-11111-1111-111-1-111-1-1-11
χ172222222222-2-2222-200-2-2000002000-20-2000000000000
χ182222222222-2-22-2-2-200-2-200000-2000202000000000000
χ192222222-2-2222-222200-2-200000-2000-202000000000000
χ202222222-2-2222-2-2-2200-2-200000200020-2000000000000
χ21222222-222-222-200-2222-2-200000-200020000000000000
χ22222222-222-222-200-2-2-22-22000002000-20000000000000
χ23222222-222-2-2-2-200200-22020200000000-2-20000000000
χ24222222-222-2-2-2-200200-220-20-200000000220000000000
χ25222222-2-2-2-222200-200-22020-200000000-220000000000
χ26222222-2-2-2-222200-200-220-202000000002-20000000000
χ27222222-2-2-2-2-2-22002222-2-2000002000-20000000000000
χ28222222-2-2-2-2-2-22002-2-22-2200000-200020000000000000
χ294444-4-404-4000000000000020-2002-2000000000000000
χ304444-4-404-40000000000000-20200-22000000000000000
χ314444-4-40-44000000000000020-200-22000000000000000
χ324444-4-40-440000000000000-202002-2000000000000000
χ3344-4-44-400004i−4i00000000000000000000002-22i−2i000000
χ3444-4-44-400004i−4i0000000000000000000000-22−2i2i000000
χ3544-4-44-40000−4i4i00000000000000000000002-2−2i2i000000
χ3644-4-44-40000−4i4i0000000000000000000000-222i−2i000000
χ3744-4-4-44400-40000000000000000000000000000002i2−2i200
χ3844-4-4-44400-4000000000000000000000000000000−2i22i200
χ3944-4-4-44-4004000000000000000000000000000022−220000
χ4044-4-4-44-40040000000000000000000000000000−22220000
χ418-88-80000000004-400000000000000000000000000000
χ428-88-8000000000-4400000000000000000000000000000
χ438-8-880000000000004-400000000000000000000000000
χ448-8-88000000000000-4400000000000000000000000000

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