Finite Group Databasebeta

← Group #144839

Character table — Group #144839

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size1111222222444488881616161616161616161616161616161616161616161616163232
order12222244442244444444448888888888888888888844
χ111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ31111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ5111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1
χ6111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1
χ7111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ8111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ922222222222222-2-2-2-222-2-20000000000000000000000
χ1022222222222222-2-2-2-2-2-2220000000000000000000000
χ112222222222-2-2-2-22-22-20000000000000000000000002-2
χ122222222222-2-2-2-22-22-2000000000000000000000000-22
χ132222222222-2-2-2-2-22-22000022-2-2000000000000000000
χ142222222222-2-2-2-2-22-220000-2-222000000000000000000
χ15222222-2-2-2-222-2-22-2-22000000002i2i−2i−2i00000000000000
χ16222222-2-2-2-222-2-22-2-2200000000−2i−2i2i2i00000000000000
χ17222222-2-2-2-222-2-2-222-20000000000002i2i−2i−2i0000000000
χ18222222-2-2-2-222-2-2-222-2000000000000−2i−2i2i2i0000000000
χ19222222-2-2-2-2-2-22222-2-2000000000000000000002i2i−2i−2i00
χ20222222-2-2-2-2-2-22222-2-200000000000000000000−2i−2i2i2i00
χ21222222-2-2-2-2-2-222-2-222000000000000000022-2-2000000
χ22222222-2-2-2-2-2-222-2-2220000000000000000-2-222000000
χ2322-2-22-222-2-22-22-20000002-20000000000002−22−22−22−200
χ2422-2-22-222-2-22-22-20000002-2000000000000−22−22−22−2200
χ2522-2-22-222-2-22-22-2000000-220000000000002−22−2−22−2200
χ2622-2-22-222-2-22-22-2000000-22000000000000−22−222−22−200
χ2722-2-22-2-2-222-222-200002i−2i000000000000002−2−22i2−i2−i2i200
χ2822-2-22-2-2-222-222-200002i−2i00000000000000−222−2−i2i2i2−i200
χ2922-2-22-2-2-222-222-20000−2i2i000000000000002−2−22−i2i2i2−i200
χ3022-2-22-2-2-222-222-20000−2i2i00000000000000−222−2i2−i2−i2i200
χ314444-4-44-44-400000000000000002i−2i2i−2i00000000000000
χ324444-4-44-44-40000000000000000−2i2i−2i2i00000000000000
χ334444-4-4-44-4400000000000000002-2-2200000000000000
χ344444-4-4-44-440000000000000000-222-200000000000000
χ3544-4-44-444-4-4-44-44000000000000000000000000000000
χ3644-4-44-4-4-4444-4-44000000000000000000000000000000
χ3744-4-4-444-4-44000000000000000000002i−2i2i−2i0000000000
χ3844-4-4-444-4-4400000000000000000000−2i2i−2i2i0000000000
χ3944-4-4-44-444-4000000000000000000002-2-220000000000
χ4044-4-4-44-444-400000000000000000000-222-20000000000
χ418-88-80000000000000000002i2−2i200000000000000000000
χ428-88-8000000000000000000−2i22i200000000000000000000
χ438-8-88000000000000000000002i2−2i2000000000000000000
χ448-8-8800000000000000000000−2i22i2000000000000000000

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