Finite Group Databasebeta

← Group #19782

Character table — Group #19782

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882444488888888844448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-1-1-111-1111-11-1-1-1-111-1-1-111-1-1
χ3111111111111-1-111111-1-11-1111-111-1-1-1-1-1-111-1-1-1
χ4111111111111-1-11-1-1-1-1-1-1-1-111-1-1-1-111-1-111-11-111
χ51111111111-1-11111111-1-1111-11-1-1-111-1-1-1-1-1-111-1
χ61111111111-1-1111-1-1-1-1-1-1-111-1-1-111-1-1-1-1111-11-11
χ71111111111-1-1-1-111111111-11-111-1-1-1-11111-1-1-1-11
χ81111111111-1-1-1-11-1-1-1-111-1-11-1-11111111-1-11-1-11-1
χ911111111-1-111111111111-11-11-111111-1-111-1-1-1-1-1
χ1011111111-1-111111-1-1-1-11111-1111-1-1-1-1-1-1-1-11-1-111
χ1111111111-1-111-1-111111-1-1-1-1-11-1-111-1-111-1-1-1-1111
χ1211111111-1-111-1-11-1-1-1-1-1-11-1-111-1-1-11111111-11-1-1
χ1311111111-1-1-1-11111111-1-1-11-1-1-1-1-1-11111-1-111-1-11
χ1411111111-1-1-1-1111-1-1-1-1-1-111-1-11-111-1-11111-11-11-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-1-1-1111-1-1-1111111-1-1-1-1-111-11
χ1722222-2-22002222-20000220-20-20-20000000000000
χ1822222-2-220022-2-2-20000-2-2020-2020000000000000
χ1922222-2-2200-2-222-20000-2-20-202020000000000000
χ2022222-2-2200-2-2-2-2-200002202020-20000000000000
χ212222-222-2220000-222-2-20020-20-200000000000000
χ222222-222-2220000-2-2-22200-20-20200000000000000
χ232222-222-2-2-20000-222-2-200-2020200000000000000
χ242222-222-2-2-20000-2-2-222002020-200000000000000
χ252-2-22200-2002i−2i2-202−22−22i−2i000000i2−i22−200i2−i200000
χ262-2-22200-2002i−2i2-20−22−222i−2i000000−i2i2−2200−i2i200000
χ272-2-22200-2002i−2i-2202−22−2−2i2i000000i2−i2−2200−i2i200000
χ282-2-22200-2002i−2i-220−22−22−2i2i000000−i2i22−200i2−i200000
χ292-2-22200-200−2i2i2-202−22−2−2i2i000000−i2i22−200−i2i200000
χ302-2-22200-200−2i2i2-20−22−22−2i2i000000i2−i2−2200i2−i200000
χ312-2-22200-200−2i2i-2202−22−22i−2i000000−i2i2−2200i2−i200000
χ322-2-22200-200−2i2i-220−22−222i−2i000000i2−i22−200−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-404-400000000000000000000000022−220000000
χ3544-4-404-4000000000000000000000000−22220000000
χ3644-4-40-4404-4000000000000000000000000000000
χ3744-4-40-440-44000000000000000000000000000000
χ384-4-44-4004000000022−22−2222000000000000000000000
χ394-4-44-40040000000−222222−22000000000000000000000
χ408-88-8000000000000000000000000000000000000

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