Finite Group Databasebeta

← Group #12465

Character table — Group #12465

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31
size1122222444444488888888888161616163232
order122448888816161616244881616161616161616161624
χ11111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1-1-1
χ311111111111111-1-11-1-1-1-1-1-1111111-1-1
χ411111111111111-1-11-1-1-1-1-1-111-1-1-1-111
χ51111111111-1-1-1-111111-1-1-1-1-1-111-1-11-1
χ61111111111-1-1-1-111111-1-1-1-1-1-1-1-111-11
χ71111111111-1-1-1-1-1-11-1-11111-1-111-1-1-11
χ81111111111-1-1-1-1-1-11-1-11111-1-1-1-1111-1
χ922222222-2-2222200-2000000-2-2000000
χ1022222222-2-2-2-2-2-200-200000022000000
χ1122222-2-2-222000022-2-2-2000000000000
χ1222222-2-2-2220000-2-2-222000000000000
χ1322222-2-2-2-2-20000002002i2i−2i−2i00000000
χ1422222-2-2-2-2-2000000200−2i−2i2i2i00000000
χ1522-22-20002-2i2i2−i2−i20002i−2i2−22−2i2−i2000000
χ1622-22-20002-2i2i2−i2−i2000−2i2i−22−22i2−i2000000
χ1722-22-20002-2−i2−i2i2i20002i−2i−22−22−i2i2000000
χ1822-22-20002-2−i2−i2i2i2000−2i2i2−22−2−i2i2000000
χ1922-22-2000-22i2i2−i2−i22-2000i2−i2−i2i2−i2i2000000
χ2022-22-2000-22i2i2−i2−i2-22000−i2i2i2−i2−i2i2000000
χ2122-22-2000-22−i2−i2i2i22-2000−i2i2i2−i2i2−i2000000
χ2222-22-2000-22−i2−i2i2i2-22000i2−i2−i2i2i2−i2000000
χ2322-2-22-2-22002i−2i2i−2i000000000002−2i2−i200
χ2422-2-22-2-22002i−2i2i−2i00000000000−22−i2i200
χ2522-2-22-2-2200−2i2i−2i2i000000000002−2−i2i200
χ2622-2-22-2-2200−2i2i−2i2i00000000000−22i2−i200
χ27444-4-40000022−22−222200000000000000000
χ28444-4-400000−222222−2200000000000000000
χ2944-4-4444-400000000000000000000000
χ308-800042−42000000000000000000000000
χ318-8000−4242000000000000000000000000

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