Finite Group Databasebeta

← Group #27770

Character table — Group #27770

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888444444442244
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ911111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1
χ1011111111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11-11
χ1111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-11-11
χ1211111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-111-1-1-111-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1111-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-111-1-11-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-111-111-1
χ17222222222222-2-2-2-200000000-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ21222-2-2-2-2222-2-200002222−2−2−2−2002i−2i2i−2i000022−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ22222-2-2-2-2222-2-200002222−2−2−2−200−2i2i−2i2i000022−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ23222-2-2-2-2222-2-20000−2−2−2−22222002i−2i2i−2i0000−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ24222-2-2-2-2222-2-20000−2−2−2−2222200−2i2i−2i2i0000−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ25222-2-2-2-22-2-22200002222−2−2−2−2002i−2i−2i2i0000−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ26222-2-2-2-22-2-22200002222−2−2−2−200−2i2i2i−2i0000−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ27222-2-2-2-22-2-2220000−2−2−2−22222002i−2i−2i2i000022−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ28222-2-2-2-22-2-2220000−2−2−2−2222200−2i2i2i−2i000022−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-222-2-2-20000-22-222i2i−2i−2i2i2i−2i−2i00000000000000000000002-22i−2i00000000
χ3022-222-2-2-20000-22-222i2i−2i−2i2i2i−2i−2i0000000000000000000000-22−2i2i00000000
χ3122-222-2-2-20000-22-22−2i−2i2i2i−2i−2i2i2i00000000000000000000002-2−2i2i00000000
χ3222-222-2-2-20000-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000-222i−2i00000000
χ332-222-2-22-22-22-20000i2−i2i2−i2i2−i2i2−i20000002i−2i2i−2ii2−i2i2−i22−22−22−22−2000000000000
χ342-222-2-22-22-22-20000i2−i2i2−i2i2−i2i2−i2000000−2i2i−2i2ii2−i2i2−i2−22−22−22−22000000000000
χ352-222-2-22-22-22-20000−i2i2−i2i2−i2i2−i2i20000002i−2i2i−2i−i2i2−i2i2−22−22−22−22000000000000
χ362-222-2-22-22-22-20000−i2i2−i2i2−i2i2−i2i2000000−2i2i−2i2i−i2i2−i2i22−22−22−22−2000000000000
χ372-222-2-22-2-22-220000i2−i2i2−i2i2−i2i2−i20000002i−2i−2i2i−i2i2−i2i22−22−2−22−22000000000000
χ382-222-2-22-2-22-220000i2−i2i2−i2i2−i2i2−i2000000−2i2i2i−2i−i2i2−i2i2−22−222−22−2000000000000
χ392-222-2-22-2-22-220000−i2i2−i2i2−i2i2−i2i20000002i−2i−2i2ii2−i2i2−i2−22−222−22−2000000000000
χ402-222-2-22-2-22-220000−i2i2−i2i2−i2i2−i2i2000000−2i2i2i−2ii2−i2i2−i22−22−2−22−22000000000000
χ412-22-222-2-22-2-222-2-222i−2i2i−2i−2i2i−2i2i2-2000000002i−2i−2i2i00000000000000000000
χ422-22-222-2-22-2-222-2-22−2i2i−2i2i2i−2i2i−2i2-200000000−2i2i2i−2i00000000000000000000
χ432-22-222-2-22-2-22-222-200000000-220000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ442-22-222-2-22-2-22-222-200000000-22000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ452-22-222-2-2-222-22-2-222i−2i2i−2i−2i2i−2i2i-2200000000−2i2i2i−2i00000000000000000000
χ462-22-222-2-2-222-22-2-22−2i2i−2i2i2i−2i2i−2i-22000000002i−2i−2i2i00000000000000000000
χ472-22-222-2-2-222-2-222-2000000002-20000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ482-22-222-2-2-222-2-222-2000000002-2000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ492-2-2-22-2220000-2-2222-2-22-222-2000000000000000000000000002-22-20000
χ502-2-2-22-2220000-2-2222-2-22-222-200000000000000000000000000-22-220000
χ512-2-2-22-2220000-2-222-222-22-2-22000000000000000000000000002-2-220000
χ522-2-2-22-2220000-2-222-222-22-2-2200000000000000000000000000-222-20000
χ5344-444-4-4-400004-44-4000000000000000000000000000000000000000000
χ5444-4-4-444-4000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5544-4-4-444-400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ564-4-44-44-440000000022−22−222222−22−22220000000000000000000000000000000000
χ574-4-44-44-4400000000−222222−22−222222−220000000000000000000000000000000000
χ584-4-4-44-444000044-4-4000000000000000000000000000000000000000000

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