Finite Group Databasebeta

← Group #19783

Character table — Group #19783

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444444444448888882224488888888822448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-111-1-111-11-1111-1-1-1-1-1-11-11-1-1
χ3111111111111-1-111111111-1-11-11-1-1111111-1-1-1-1-1
χ4111111111111-1-11-1-111-1-11-11111-1-1-1-1-1-1-1-1-11-111
χ51111111111-1-111111-1-111111-11-1-1-111-1-1-1-1-1-111-1
χ61111111111-1-1111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-111-11
χ71111111111-1-1-1-1111-1-1111-1-1-1-1-11111-1-1-1-111-1-11
χ81111111111-1-1-1-11-1-1-1-1-1-11-11-11-111-1-111111-1-11-1
χ911111111-1-11111111-1-111-11111-1-1-1-1-111-1-111-1-1-1
χ1011111111-1-111111-1-1-1-1-1-1-11-11-1-1-1-111-1-1111-1-111
χ1111111111-1-111-1-1111-1-111-1-1-11-1-111-1-111-1-1-1-1111
χ1211111111-1-111-1-11-1-1-1-1-1-1-1-1111-11111-1-111-111-1-1
χ1311111111-1-1-1-1111111111-111-11111-1-1-1-111-1-1-1-11
χ1411111111-1-1-1-1111-1-111-1-1-11-1-1-11111111-1-1-11-11-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-111-1-1-1-11-111-1-11111-1-11-11-11
χ1722222-22-2000022-22200-2-20-2-20200000000000000
χ1822222-22-2000022-2-2-200220-220-200000000000000
χ1922222-22-20000-2-2-22200-2-20220-200000000000000
χ2022222-22-20000-2-2-2-2-2002202-20200000000000000
χ212222-22-22222200-2002200-200-20-20000000000000
χ222222-22-2222-2-200-200-2-200-2002020000000000000
χ232222-22-22-2-22200-200-2-200200-2020000000000000
χ242222-22-22-2-2-2-200-200220020020-20000000000000
χ2522-2-2020-22i−2i2-20002−22i−2i2−200000000i2−i22−2i2−i200000
χ2622-2-2020-22i−2i2-2000−222i−2i−2200000000−i2i2−22−i2i200000
χ2722-2-2020-22i−2i-220002−2−2i2i2−200000000i2−i2−22−i2i200000
χ2822-2-2020-22i−2i-22000−22−2i2i−2200000000−i2i22−2i2−i200000
χ2922-2-2020-2−2i2i2-20002−2−2i2i2−200000000−i2i22−2−i2i200000
χ3022-2-2020-2−2i2i2-2000−22−2i2i−2200000000i2−i2−22i2−i200000
χ3122-2-2020-2−2i2i-220002−22i−2i2−200000000−i2i2−22i2−i200000
χ3222-2-2020-2−2i2i-22000−222i−2i−2200000000i2−i22−2−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ3444-4-40-404000000022−2200−22220000000000000000000
χ3544-4-40-4040000000−22220022−220000000000000000000
χ364-44-440-4000004i−4i00000000000000000000000000
χ374-44-440-400000−4i4i00000000000000000000000000
χ384-44-4-4040000000000000000000022−2200000000000
χ394-44-4-40400000000000000000000−222200000000000
χ408-8-88000000000000000000000000000000000000

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