Finite Group Databasebeta

← Group #18697

Character table — Group #18697

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40
size1111222222444444444444888888888888161616161616
order1222444444244488888888224444444444248888
χ11111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1
χ31111111111111111111111-1-111-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-111
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ911111-1-1111-1-1-111111-1-1-1-11-1111-11-1-1-11-11-11-11-1
χ1011111-1-1111-1-1-111111-1-1-1-11-1-1-1-111-111-11-111-1-11
χ1111111-1-1111-1-1-111111-1-1-1-1-1111-11-11-1-1-111-1-11-11
χ1211111-1-1111-1-1-111111-1-1-1-1-11-1-11-1-11111-1-11-111-1
χ1311111-1-1111-1-1-11-1-1-1-111111-1111-11-1-1-11-1-11-11-11
χ1411111-1-1111-1-1-11-1-1-1-111111-1-1-1-111-111-111-1-111-1
χ1511111-1-1111-1-1-11-1-1-1-11111-1111-11-11-1-1-11-111-11-1
χ1611111-1-1111-1-1-11-1-1-1-11111-11-1-11-1-11111-11-11-1-11
χ172222222-22-2-2-22-200000000220000-2-20000000000
χ182222222-22-2-2-22-200000000-2-20000220000000000
χ1922222-2-2-22-222-2-2000000002-20000-220000000000
χ2022222-2-2-22-222-2-200000000-2200002-20000000000
χ212222-2222-22-22-2-2000000000000220000-2-2000000
χ222222-2222-22-22-2-2000000000000-2-2000022000000
χ232222-222-2-2-22-2-2200000000002-200002-200000000
χ242222-222-2-2-22-2-220000000000-220000-2200000000
χ252222-2-2-22-222-22-20000000000002-20000-22000000
χ262222-2-2-22-222-22-2000000000000-2200002-2000000
χ272222-2-2-2-2-2-2-222200000000002-20000-2200000000
χ282222-2-2-2-2-2-2-22220000000000-2200002-200000000
χ2944-4-44000-4000002222−22−220000000000000000000000
χ3044-4-44000-400000−22−2222220000000000000000000000
χ3144-4-4-400040000000002i22i2−2i2−2i2000000000000000000
χ3244-4-4-40004000000000−2i2−2i22i22i2000000000000000000
χ334-44-404-400000002i−2i2i−2i2i−2i2i−2i000000000000000000
χ344-44-404-40000000−2i2i−2i2i−2i2i−2i2i000000000000000000
χ354-44-40-4400000002i−2i2i−2i−2i2i−2i2i000000000000000000
χ364-44-40-440000000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ374-4-4400040-400002i2−2i2−2i22i20000000000000000000000
χ384-4-4400040-40000−2i22i22i2−2i20000000000000000000000
χ394-4-44000-4040000000022−22−2222000000000000000000
χ404-4-44000-40400000000−222222−22000000000000000000

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