Finite Group Databasebeta

← Group #19786

Character table — Group #19786

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size111122224444444444444888888888888881616161616
order1222444444444448888882244488888888824448
χ11111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1111-111-11-1-1-1-111-1-111-1-1-1
χ3111111111111-1-11111111-1-111-111111-1-111-1-1-1-1-1
χ4111111111111-1-11-1-1-1-111-111111-1-1-1-1-1-1-1-1-1-1111
χ51111111111-1-11111111-1-111-111-111-1-1-1-1-1-1-111-1-1
χ61111111111-1-1111-1-1-1-1-1-11-1-11-1-1-1-111-1-111-11-111
χ71111111111-1-1-1-111111-1-1-1-1-11-1-111-1-111-1-11-1-111
χ81111111111-1-1-1-11-1-1-1-1-1-1-11-111-1-1-11111111-11-1-1
χ911111111-1-1111111111-1-1111-11-1-1-111-1-1-1-11-1-11-1
χ1011111111-1-111111-1-1-1-1-1-11-11-1-1-111-1-1-1-1111-11-11
χ1111111111-1-111-1-111111-1-1-1-11-1-1-1-1-11111-1-1-111-11
χ1211111111-1-111-1-11-1-1-1-1-1-1-111-11-111-1-11111-11-11-1
χ1311111111-1-1-1-111111111111-1-111-1-1-1-11111-1-1-1-11
χ1411111111-1-1-1-1111-1-1-1-1111-1-1-1-11111111-1-1-1-111-1
χ1511111111-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1111111-1
χ1611111111-1-1-1-1-1-11-1-1-1-111-11-1-1111111-1-1-1-111-1-11
χ1722222-2-22222200-200002200-2-20-20000000000000
χ1822222-2-2222-2-200-20000-2-2002-2020000000000000
χ1922222-2-22-2-22200-20000-2-200-22020000000000000
χ2022222-2-22-2-2-2-200-200002200220-20000000000000
χ212222-222-2000022-222-2-200-2200-200000000000000
χ222222-222-2000022-2-2-22200-2-200200000000000000
χ232222-222-20000-2-2-222-2-2002-200200000000000000
χ242222-222-20000-2-2-2-2-222002200-200000000000000
χ252-2-22200-22i−2i2-20002−22−22i−2i000000i2−i22−200i2−i200000
χ262-2-22200-22i−2i2-2000−22−222i−2i000000−i2i2−2200−i2i200000
χ272-2-22200-22i−2i-220002−22−2−2i2i000000i2−i2−2200−i2i200000
χ282-2-22200-22i−2i-22000−22−22−2i2i000000−i2i22−200i2−i200000
χ292-2-22200-2−2i2i2-20002−22−2−2i2i000000−i2i22−200−i2i200000
χ302-2-22200-2−2i2i2-2000−22−22−2i2i000000i2−i2−2200i2−i200000
χ312-2-22200-2−2i2i-220002−22−22i−2i000000−i2i2−2200i2−i200000
χ322-2-22200-2−2i2i-22000−22−222i−2i000000i2−i22−200−i2i200000
χ334444-4-4-4-400000040000000000000000000000000
χ344-44-404-40000000000000000000000002i2−2i20000000
χ354-44-404-4000000000000000000000000−2i22i20000000
χ364-44-40-44000004i−4i00000000000000000000000000
χ374-44-40-4400000−4i4i00000000000000000000000000
χ384-4-44-4004000000022−22−2222000000000000000000000
χ394-4-44-40040000000−222222−22000000000000000000000
χ4088-8-8000000000000000000000000000000000000

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