Finite Group Databasebeta

← Group #19780

Character table — Group #19780

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882244488888888844448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-111-1-11-111-1111-1-1-1-1-1-11-11-1-1
χ3111111111111-1-1111-1-11111-111-1-1-111-1-1-1-111-1-1-1
χ4111111111111-1-11-1-1-1-1-1-11-1-11-1-1-1-1-1-111111-1-111
χ51111111111-1-111111-1-111-11111-1-1-1-1-111-1-1-1-111-1
χ61111111111-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-111-11
χ71111111111-1-1-1-11111111-11-111111-1-1-1-111-1-1-1-11
χ81111111111-1-1-1-11-1-111-1-1-1-1-11-11111111-1-1-11-11-1
χ911111111-1-1111111111111-11-1-11-1-1111111-1-1-1-1-1
χ1011111111-1-111111-1-111-1-1111-111-1-1-1-1-1-1-1-1-11-111
χ1111111111-1-111-1-1111-1-1111-1-1-1-1-11111-1-1-1-1-1-1111
χ1211111111-1-111-1-11-1-1-1-1-1-111-1-11-111-1-11111-111-1-1
χ1311111111-1-1-1-111111-1-111-1-11-1-1-111-1-111-1-111-1-11
χ1411111111-1-1-1-1111-1-1-1-1-1-1-111-11-11111-1-1111-1-11-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-111-1-1-11-1-111-1-11111-1-11-11-11
χ1722222-22-2220000-22200-2-2020-2-200000000000000
χ1822222-22-2220000-2-2-200220-20-2200000000000000
χ1922222-22-2-2-20000-22200-2-20-202200000000000000
χ2022222-22-2-2-20000-2-2-200220202-200000000000000
χ212222-22-22002222-2002200-20-200-20000000000000
χ222222-22-220022-2-2-200-2-200-2020020000000000000
χ232222-22-2200-2-222-200-2-20020-20020000000000000
χ242222-22-2200-2-2-2-2-200220020200-20000000000000
χ252-2-22020-2002i−2i2-202−22i−2i2−200000000i2−i22−2i2−i200000
χ262-2-22020-2002i−2i2-20−222i−2i−2200000000−i2i2−22−i2i200000
χ272-2-22020-2002i−2i-2202−2−2i2i2−200000000i2−i2−22−i2i200000
χ282-2-22020-2002i−2i-220−22−2i2i−2200000000−i2i22−2i2−i200000
χ292-2-22020-200−2i2i2-202−2−2i2i2−200000000−i2i22−2−i2i200000
χ302-2-22020-200−2i2i2-20−22−2i2i−2200000000i2−i2−22i2−i200000
χ312-2-22020-200−2i2i-2202−22i−2i2−200000000−i2i2−22i2−i200000
χ322-2-22020-200−2i2i-220−222i−2i−2200000000i2−i22−2−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-440-404-4000000000000000000000000000000
χ3544-4-440-40-44000000000000000000000000000000
χ3644-4-4-404000000000000000000002i2−2i200000000000
χ3744-4-4-40400000000000000000000−2i22i200000000000
χ384-4-440-404000000022−2200−22220000000000000000000
χ394-4-440-4040000000−22220022−220000000000000000000
χ408-88-8000000000000000000000000000000000000

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