Finite Group Databasebeta

← Group #2222

Character table — Group #2222

Order 128.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26
size112222222224444444444416161616
order122448816161616248881616161616164488
χ111111111111111111111111111
χ21111111111111111111111-1-1-1-1
χ311111111111-1-11-1-111-1-1-1-111-1-1
χ411111111111-1-11-1-111-1-1-1-1-1-111
χ51111111-1-1-1-111111-1-1-1-1-1-11-11-1
χ61111111-1-1-1-111111-1-1-1-1-1-1-11-11
χ71111111-1-1-1-1-1-11-1-1-1-111111-1-11
χ81111111-1-1-1-1-1-11-1-1-1-11111-111-1
χ922222-2-2000022-2-2-20000000000
χ1022222-2-20000-2-2-2220000000000
χ11222-2-20022−2−20002i−2i2−2i2i2−i2−i20000
χ12222-2-20022−2−2000−2i2i2−2−i2−i2i2i20000
χ13222-2-200−2−2220002i−2i−22−i2−i2i2i20000
χ14222-2-200−2−222000−2i2i−22i2i2−i2−i20000
χ1522-22-222222200-200-2-200000000
χ1622-22-222-2-2-2-200-2002200000000
χ1722-22-2-2-2000000200002i−2i2i−2i0000
χ1822-22-2-2-200000020000−2i2i−2i2i0000
χ1922-2-220022−2−22-2000−222−2−220000
χ2022-2-220022−2−2-22000−22−222−20000
χ2122-2-2200−2−2222-20002−2−222−20000
χ2222-2-2200−2−222-220002−22−2−220000
χ234-400022−222ζ−2ζ7−2ζ+2ζ72ζ3−2ζ5−2ζ3+2ζ5000000000000000
χ244-400022−22−2ζ+2ζ72ζ−2ζ7−2ζ3+2ζ52ζ3−2ζ5000000000000000
χ254-4000−22222ζ3−2ζ5−2ζ3+2ζ5−2ζ+2ζ72ζ−2ζ7000000000000000
χ264-4000−2222−2ζ3+2ζ52ζ3−2ζ52ζ−2ζ7−2ζ+2ζ7000000000000000

Here ζ is a primitive root of unity of order 16 (ζ16 = 1); i = ζ4.