Finite Group Databasebeta

← Group #19792

Character table — Group #19792

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882244488888888824448
χ11111111111111111111111111111111111111111
χ211111111111111111-1-1-1-1111-1-1111-1-1-1-1-1-1-111-1-1
χ3111111111111-1-111111111-11-1-11-1-1111111-1-1-1-1-1
χ4111111111111-1-1111-1-1-1-11-11111-1-1-1-1-1-1-1-11-1-111
χ51111111111-1-1111-1-11111-11111-1-1-111-1-1-1-1-11-11-1
χ61111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111-1-11
χ71111111111-1-1-1-11-1-11111-1-11-1-1-11111-1-1-1-11-11-11
χ81111111111-1-1-1-11-1-1-1-1-1-1-1-1111-111-1-11111-1-111-1
χ911111111-1-111111-1-1111111-111-1-1-1-1-111-1-11-11-1-1
χ1011111111-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1111
χ1111111111-1-111-1-11-1-111111-1-1-1-1-111-1-111-1-1-11-111
χ1211111111-1-111-1-11-1-1-1-1-1-11-1-111-11111-1-11111-1-1-1
χ1311111111-1-1-1-1111111111-11-111111-1-1-1-111-1-1-1-11
χ1411111111-1-1-1-111111-1-1-1-1-11-1-1-11111111-1-11-1-11-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-11111-1-1-111-11
χ17222222-2-2000022-20022-2-20-202-200000000000000
χ18222222-2-2000022-200-2-2220-20-2200000000000000
χ19222222-2-20000-2-2-20022-2-2020-2200000000000000
χ20222222-2-20000-2-2-200-2-2220202-200000000000000
χ212222-2-222222200-2220000-20-200-20000000000000
χ222222-2-22222-2-200-2-2-2000020-20020000000000000
χ232222-2-222-2-22200-2-2-20000-2020020000000000000
χ242222-2-222-2-2-2-200-222000020200-20000000000000
χ2522-2-2002-22-22i−2i0002i−2ii2−i2i2−i200000000i2−i22−22−200000
χ2622-2-2002-22-22i−2i0002i−2i−i2i2−i2i200000000−i2i2−22−2200000
χ2722-2-2002-22-2−2i2i000−2i2ii2−i2i2−i200000000i2−i2−22−2200000
χ2822-2-2002-22-2−2i2i000−2i2i−i2i2−i2i200000000−i2i22−22−200000
χ2922-2-2002-2-222i−2i000−2i2ii2−i2i2−i200000000−i2i22−2−2200000
χ3022-2-2002-2-222i−2i000−2i2i−i2i2−i2i200000000i2−i2−222−200000
χ3122-2-2002-2-22−2i2i0002i−2ii2−i2i2−i200000000−i2i2−222−200000
χ3222-2-2002-2-22−2i2i0002i−2i−i2i2−i2i200000000i2−i22−2−2200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-400-440000000002i2−2i2−2i22i20000000000000000000
χ3544-4-400-44000000000−2i22i22i2−2i20000000000000000000
χ364-44-44-40000000000000000000002i2−2i200000000000
χ374-44-44-4000000000000000000000−2i22i200000000000
χ384-44-4-440000004i−4i00000000000000000000000000
χ394-44-4-44000000−4i4i00000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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