Finite Group Databasebeta

← Group #19852

Character table — Group #19852

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444422444448888882444488888888822448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-111-1-1111-1-1111-1-1-1-1-1-1-1-111-1
χ3111111111111-1-1111-1-11111-111-1-1-111-1-1-1-11-11-1-1
χ4111111111111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-11
χ51111111111-1-111111-1-111-11111-1-1-1-1-111-1-1-11-11-1
χ61111111111-1-1111-1-1-1-1-1-1-111-1-1-1-1-111-1-1111-1-111
χ71111111111-1-1-1-11111111-11-111111-1-1-1-111-1-1-1-11
χ81111111111-1-1-1-11-1-111-1-1-11-1-1-11111111-1-111-1-1-1
χ911111111-1-1111111111111-11-1-11-1-1111111-1-1-1-1-1
χ1011111111-1-111111-1-111-1-11-11111-1-1-1-1-1-1-1-111-1-11
χ1111111111-1-111-1-1111-1-1111-1-1-1-1-11111-1-1-1-1-11-111
χ1211111111-1-111-1-11-1-1-1-1-1-11-1-111-111-1-111111-1-11-1
χ1311111111-1-1-1-111111-1-111-1-11-1-1-111-1-111-1-11-11-11
χ1411111111-1-1-1-1111-1-1-1-1-1-1-1-1111-11111-1-111-111-1-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-111-1-1-1-1-1111-1-11111-1-1-1-1111
χ1722222-2-22220000-22200-2-20-202-200000000000000
χ1822222-2-22220000-2-2-200220-20-2200000000000000
χ1922222-2-22-2-20000-22200-2-2020-2200000000000000
χ2022222-2-22-2-20000-2-2-200220202-200000000000000
χ212222-222-2002222-2002200-20-200-20000000000000
χ222222-222-20022-2-2-200-2-200-2020020000000000000
χ232222-222-200-2-222-200-2-20020-20020000000000000
χ242222-222-200-2-2-2-2-200220020200-20000000000000
χ2522-2-202-20002i−2i2i−2i0i2−i22-2i2−i2000000002−22−2i2−i200000
χ2622-2-202-20002i−2i2i−2i0−i2i22-2−i2i200000000−22−22−i2i200000
χ2722-2-202-20002i−2i−2i2i0i2−i2-22i2−i2000000002−2−22−i2i200000
χ2822-2-202-20002i−2i−2i2i0−i2i2-22−i2i200000000−222−2i2−i200000
χ2922-2-202-2000−2i2i2i−2i0i2−i2-22i2−i200000000−222−2−i2i200000
χ3022-2-202-2000−2i2i2i−2i0−i2i2-22−i2i2000000002−2−22i2−i200000
χ3122-2-202-2000−2i2i−2i2i0i2−i22-2i2−i200000000−22−22i2−i200000
χ3222-2-202-2000−2i2i−2i2i0−i2i22-2−i2i2000000002−22−2−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-40-44000000002i2−2i200−2i22i20000000000000000000
χ3544-4-40-4400000000−2i22i2002i2−2i20000000000000000000
χ364-44-4400-400000000000000000002i2−2i200000000000
χ374-44-4400-40000000000000000000−2i22i200000000000
χ384-44-4-40044-4000000000000000000000000000000
χ394-44-4-4004-44000000000000000000000000000000
χ408-8-88000000000000000000000000000000000000

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