Finite Group Databasebeta

← Group #27751

Character table — Group #27751

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888224444442444
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
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ9111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1-11
χ10111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ11111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-111-1
χ12111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-1-11
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-11111-1-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-111
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-1-111
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-111-1-1
χ1722222222-22222-2-2-200000000-2-222-2-2-2-222000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-2-2-22222000000000000000000000000
χ21222-2-2-22-202i2i−2i−2i000i2i2i2i2−i2−i2−i2−i200002i−2i2-20022−2−2i2i2−i2−i222−2−2000000000000
χ22222-2-2-22-202i2i−2i−2i000i2i2i2i2−i2−i2−i2−i20000−2i2i-220022−2−2−i2−i2i2i2−2−222000000000000
χ23222-2-2-22-202i2i−2i−2i000−i2−i2−i2−i2i2i2i2i200002i−2i2-200−2−222−i2−i2i2i2−2−222000000000000
χ24222-2-2-22-202i2i−2i−2i000−i2−i2−i2−i2i2i2i2i20000−2i2i-2200−2−222i2i2−i2−i222−2−2000000000000
χ25222-2-2-22-20−2i−2i2i2i000i2i2i2i2−i2−i2−i2−i200002i−2i-2200−2−222−i2−i2i2i222−2−2000000000000
χ26222-2-2-22-20−2i−2i2i2i000i2i2i2i2−i2−i2−i2−i20000−2i2i2-200−2−222i2i2−i2−i2−2−222000000000000
χ27222-2-2-22-20−2i−2i2i2i000−i2−i2−i2−i2i2i2i2i200002i−2i-220022−2−2i2i2−i2−i2−2−222000000000000
χ28222-2-2-22-20−2i−2i2i2i000−i2−i2−i2−i2i2i2i2i20000−2i2i2-20022−2−2−i2−i2i2i222−2−2000000000000
χ2922-22-2-2-2202i−2i2i−2i00022−2−222−2−2002-200002i−2ii2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ3022-22-2-2-2202i−2i2i−2i00022−2−222−2−200-220000−2i2ii2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ3122-22-2-2-2202i−2i2i−2i000−2−222−2−222002-200002i−2i−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ3222-22-2-2-2202i−2i2i−2i000−2−222−2−22200-220000−2i2i−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ3322-22-2-2-220−2i2i−2i2i00022−2−222−2−2002-20000−2i2i−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ3422-22-2-2-220−2i2i−2i2i00022−2−222−2−200-2200002i−2i−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ3522-22-2-2-220−2i2i−2i2i000−2−222−2−222002-20000−2i2ii2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ3622-22-2-2-220−2i2i−2i2i000−2−222−2−22200-2200002i−2ii2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ3722-2-222-2-222-2-22-2-222i2i−2i−2i−2i−2i2i2i2-200000000−2i2i2i−2i00000000000000000000
χ3822-2-222-2-222-2-22-2-22−2i−2i2i2i2i2i−2i−2i2-2000000002i−2i−2i2i00000000000000000000
χ3922-2-222-2-22-222-2-2-222i2i−2i−2i−2i−2i2i2i-22000000002i−2i−2i2i00000000000000000000
χ4022-2-222-2-22-222-2-2-22−2i−2i2i2i2i2i−2i−2i-2200000000−2i2i2i−2i00000000000000000000
χ4122-2-222-2-2-22-2-2222-200000000-220000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ4222-2-222-2-2-22-2-2222-200000000-22000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ4322-2-222-2-2-2-222-222-2000000002-20000000000002i−2i−2i2i2i−2i−2i2i000000000000
χ4422-2-222-2-2-2-222-222-2000000002-2000000000000−2i2i2i−2i−2i2i2i−2i000000000000
χ452-22-22-2-22200002-2-22-22-22-22-20000000000000000000000002i−2i002i−2i0000
χ462-22-22-2-22200002-2-22-22-22-22-2000000000000000000000000−2i2i00−2i2i0000
χ472-22-22-2-22200002-2-2-22-22-22-220000000000000000000000002i−2i00−2i2i0000
χ482-22-22-2-22200002-2-2-22-22-22-22000000000000000000000000−2i2i002i−2i0000
χ492-2-222-22-220000-22-22i−2i−2i2i−2i2i2i−2i00000000000000000000002-2002i−2i000000
χ502-2-222-22-220000-22-22i−2i−2i2i−2i2i2i−2i0000000000000000000000-2200−2i2i000000
χ512-2-222-22-220000-22-2−2i2i2i−2i2i−2i−2i2i00000000000000000000002-200−2i2i000000
χ522-2-222-22-220000-22-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000-22002i−2i000000
χ534-444-44-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ544-444-44-4-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ554-44-44-4-44-40000-444000000000000000000000000000000000000000000
χ564-4-444-44-4-400004-44000000000000000000000000000000000000000000
χ574-4-4-4-44440000000022−22−222222−22−22220000000000000000000000000000000000
χ584-4-4-4-444400000000−222222−22−222222−220000000000000000000000000000000000

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