Finite Group Databasebeta

← Group #487421

Character table — Group #487421

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size1111222244488888888888888888881616161616161616161616161632323232
order12222244444222244444444444444422444444488888888
χ111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-111-1-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1-1-111-11-1-1111-111111-1-1-1-1
χ411111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-1-1-1-11111
χ51111111111111-1-11-1-1-1-11111-1-1-1-111111-111-1-11-1-1-1-111-1-1
χ61111111111111-1-11-1-1-1-11111-1-1-1-1111-11-1-1-1-1-1-11111-1-111
χ71111111111111-1-11-1-1-1-1-1-1-1-1111111-11-1111-111-1-1-1-1-1-111
χ81111111111111-1-11-1-1-1-1-1-1-1-1111111-1-1-11-1-1-11-1111111-1-1
χ9111111-1-11-11-1-111-111-1-111-1-111-1-11111-1-11-1-11-111-1-11-11-1
χ10111111-1-11-11-1-111-111-1-111-1-111-1-1111-1-1-1-11-111-1-111-11-11
χ11111111-1-11-11-1-111-111-1-1-1-111-1-11111-11111-1-1-1-111-1-1-11-11
χ12111111-1-11-11-1-111-111-1-1-1-111-1-11111-1-111-11-1-11-1-1111-11-1
χ13111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-1111111-111-11-1-1-1-1111-1-11
χ14111111-1-11-11-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-1111-1-1-111-1
χ15111111-1-11-11-1-1-1-1-1-1-111-1-11111-1-111-111-11-111-1-1-111-111-1
χ16111111-1-11-11-1-1-1-1-1-1-111-1-11111-1-111-1-11-1-1111111-1-11-1-11
χ1722222222222-2-2002000022220000-2-2-20-200000000000000
χ1822222222222-2-20020000-2-2-2-20000-2-220200000000000000
χ1922222222-22-22-200-20000000022222-2000-2000-2000000000
χ2022222222-22-22-200-200000000-2-2-2-22-200020002000000000
χ2122222222-22-2-2222-2-2-2-2-200000000-2200000020000000000
χ2222222222-22-2-22-2-2-2222200000000-22000000-20000000000
χ23222222-2-22-222200-2000022-2-20000-2-2-20200000000000000
χ24222222-2-22-222200-20000-2-2220000-2-220-200000000000000
χ25222222-2-2-2-2-22-2222-2-22200000000-22000000-20000000000
χ26222222-2-2-2-2-22-2-2-2222-2-200000000-2200000020000000000
χ27222222-2-2-2-2-2-220020000000022-2-22-20002000-2000000000
χ28222222-2-2-2-2-2-2200200000000-2-2222-2000-20002000000000
χ294444-4-4440-4000000000000000000000200-2-200200000000
χ304444-4-4440-4000000000000000000000-2002200-200000000
χ314444-4-4-4-404000000000000000000000200-2200-200000000
χ324444-4-4-4-404000000000000000000000-2002-200200000000
χ3344-4-4004i−4i000000002i−2i2-22i−2i2-22-22i−2i0000000000000000000
χ3444-4-4004i−4i000000002i−2i2-2−2i2i-22-22−2i2i0000000000000000000
χ3544-4-4004i−4i00000000−2i2i-222i−2i2-2-22−2i2i0000000000000000000
χ3644-4-4004i−4i00000000−2i2i-22−2i2i-222-22i−2i0000000000000000000
χ3744-4-400−4i4i000000002i−2i-222i−2i-222-2−2i2i0000000000000000000
χ3844-4-400−4i4i000000002i−2i-22−2i2i2-2-222i−2i0000000000000000000
χ3944-4-400−4i4i00000000−2i2i2-22i−2i-22-222i−2i0000000000000000000
χ4044-4-400−4i4i00000000−2i2i2-2−2i2i2-22-2−2i2i0000000000000000000
χ414-44-44-40040-4000000000000000000000000000022−22000000
χ424-44-44-40040-40000000000000000000000000000−2222000000
χ434-44-44-400-4040000000000000000000000000000002i2−2i20000
χ444-44-44-400-404000000000000000000000000000000−2i22i20000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-880000000004-400000000000000000000000000000000
χ478-8-88000000000-4400000000000000000000000000000000

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