Finite Group Databasebeta

← Group #487553

Character table — Group #487553

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41
size1111222244488888881616161616161616161616161616161616161632323232
order12222244224244444422444444444444488884488
χ111111111111111111111111111111111111111111
χ21111111111111111111-111111-1-1-111111-1-1-1-1-1-1-1-1
χ3111111111111111111-1111-1-1-11111-1-1-1-11111-1-1-1-1
χ4111111111111111111-1-111-1-1-1-1-1-11-1-1-1-1-1-1-1-11111
χ511111111111111-1-11111-1-11-1-1111-111-1-1-1-1-1-1-1-111
χ611111111111111-1-1111-1-1-11-1-1-1-1-1-111-1-1111111-1-1
χ711111111111111-1-111-11-1-1-111111-1-1-111-1-1-1-111-1-1
χ811111111111111-1-111-1-1-1-1-111-1-1-1-1-1-1111111-1-111
χ9111111-1-111-1-1-1-11111111-1-11-11-1-1-11-11-111-1-11-11-1
χ10111111-1-111-1-1-1-111111-11-1-11-1-111-11-11-1-1-111-11-11
χ11111111-1-111-1-1-1-11111-111-11-111-1-1-1-11-1111-1-1-11-11
χ12111111-1-111-1-1-1-11111-1-11-11-11-111-1-11-11-1-1111-11-1
χ13111111-1-111-1-1-1-1-1-11111-11-1-111-1-111-1-11-1-111-111-1
χ14111111-1-111-1-1-1-1-1-1111-1-11-1-11-11111-1-1111-1-11-1-11
χ15111111-1-111-1-1-1-1-1-111-11-1111-11-1-11-111-1-1-1111-1-11
χ16111111-1-111-1-1-1-1-1-111-1-1-1111-1-1111-111-111-1-1-111-1
χ1722222222222-22-200-2-20000022000000-2-200000000
χ1822222222222-22-200-2-200000-2-20000002200000000
χ1922222222-2-222-2-2002-220002000000-2-20000000000
χ2022222222-2-222-2-2002-2-2000-2000000220000000000
χ2122222222-2-22-2-2222-2200-2-20000002000000000000
χ2222222222-2-22-2-22-2-2-220022000000-2000000000000
χ23222222-2-222-22-2200-2-2000002-2000000-2200000000
χ24222222-2-222-22-2200-2-200000-220000002-200000000
χ25222222-2-2-2-2-222-222-2200-22000000-2000000000000
χ26222222-2-2-2-2-222-2-2-2-22002-20000002000000000000
χ27222222-2-2-2-2-2-222002-22000-2000000-220000000000
χ28222222-2-2-2-2-2-222002-2-200020000002-20000000000
χ294444-4-44400-400000000200000-22-20000000000000
χ304444-4-44400-400000000-2000002-220000000000000
χ314444-4-4-4-400400000000200000-2-220000000000000
χ324444-4-4-4-400400000000-20000022-20000000000000
χ3344-4-4-44004-400000000000000000000000002i2−2i20000
χ3444-4-4-44004-40000000000000000000000000−2i22i20000
χ3544-4-4-4400-440000000000000000000000022−22000000
χ3644-4-4-4400-4400000000000000000000000−2222000000
χ3788-8-88-800000000000000000000000000000000000
χ388-88-800000000004i−4i0000000000000000000000000
χ398-88-80000000000−4i4i0000000000000000000000000
χ408-8-88008i−8i000000000000000000000000000000000
χ418-8-8800−8i8i000000000000000000000000000000000

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