Finite Group Databasebeta

← Group #19839

Character table — Group #19839

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882444488888888844448
χ11111111111111111111111111111111111111111
χ211111111111111111-1-1-1-11-111-1-1-1-1-1111-1-111-1-1-1
χ3111111111111-1-11-1-11111-1111111-1-1-1-1-1-1-11-1-11-1
χ4111111111111-1-11-1-1-1-1-1-1-1-111-1-1-111-1-1-1111-11-11
χ51111111111-1-11111111111-11-1-111111-1-111-1-1-1-1-1
χ61111111111-1-111111-1-1-1-1111-11-1-1-1-11-1-1-1-1-1-1111
χ71111111111-1-1-1-11-1-11111-1-11-1-111-1-1-111-1-1-111-11
χ81111111111-1-1-1-11-1-1-1-1-1-1-111-11-1-111-11111-11-11-1
χ911111111-1-111111-1-1111111-111-1-111-1-1-1-1-1-111-1-1
χ1011111111-1-111111-1-1-1-1-1-11-1-11-111-1-1-1-1-111-11-111
χ1111111111-1-111-1-11111111-11-111-1-1-1-111111-1-1-1-11
χ1211111111-1-111-1-1111-1-1-1-1-1-1-11-11111111-1-1-1-111-1
χ1311111111-1-1-1-1111-1-111111-1-1-1-1-1-111-111-1-11-1-111
χ1411111111-1-1-1-1111-1-1-1-1-1-111-1-1111-1-1-111111-11-1-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1111111-1
χ1611111111-1-1-1-1-1-1111-1-1-1-1-11-1-1111111-1-1-1-111-1-11
χ1722222-2-22220022-2220000-20-2000000-2000000000
χ1822222-2-222200-2-2-2-2-2000020-20000002000000000
χ1922222-2-22-2-20022-2-2-20000-2020000002000000000
χ2022222-2-22-2-200-2-2-2220000202000000-2000000000
χ212222-222-2002200-20022-2-2020-2-200000000000000
χ222222-222-2002200-200-2-2220-20-2200000000000000
χ232222-222-200-2-200-20022-2-20-202200000000000000
χ242222-222-200-2-200-200-2-2220202-200000000000000
χ2522-2-2-20022-2002i−2i02i−2i2−22−2000002−2i2−i2000i2−i200000
χ2622-2-2-20022-2002i−2i02i−2i−22−2200000−22−i2i2000−i2i200000
χ2722-2-2-20022-200−2i2i0−2i2i2−22−2000002−2−i2i2000−i2i200000
χ2822-2-2-20022-200−2i2i0−2i2i−22−2200000−22i2−i2000i2−i200000
χ2922-2-2-2002-22002i−2i0−2i2i2−22−200000−22i2−i2000−i2i200000
χ3022-2-2-2002-22002i−2i0−2i2i−22−22000002−2−i2i2000i2−i200000
χ3122-2-2-2002-2200−2i2i02i−2i2−22−200000−22−i2i2000i2−i200000
χ3222-2-2-2002-2200−2i2i02i−2i−22−22000002−2i2−i2000−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-4400-400000000022−22−22220000000000000000000
χ3544-4-4400-4000000000−222222−220000000000000000000
χ364-4-4404-40000000000000000000000002i2−2i20000000
χ374-4-4404-4000000000000000000000000−2i22i20000000
χ384-4-440-440004i−4i0000000000000000000000000000
χ394-4-440-44000−4i4i0000000000000000000000000000
χ408-88-8000000000000000000000000000000000000

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