Finite Group Databasebeta

← Group #33698

Character table — Group #33698

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222244444444444416161616111122222244444444444416161616
order12224488884488161616161616161624442222448888448816161616161616162444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1
χ311111111111111-1-1-1-1-1-1-1-111-1-111111111111111-1-1-1-1-1-1-1-111-1-1
χ411111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ51111111111-1-1-1-11111-1-1-1-11-11-11111111111-1-1-1-11111-1-1-1-11-11-1
χ61111111111-1-1-1-11111-1-1-1-1-11-111111111111-1-1-1-11111-1-1-1-1-11-11
χ71111111111-1-1-1-1-1-1-1-111111-1-111111111111-1-1-1-1-1-1-1-111111-1-11
χ81111111111-1-1-1-1-1-1-1-11111-111-11111111111-1-1-1-1-1-1-1-11111-111-1
χ9222222-2-2-2-222-2-2000000000000222222-2-2-2-222-2-2000000000000
χ10222222-2-2-2-2-2-222000000000000222222-2-2-2-2-2-222000000000000
χ112222-2-200002-20022−2−222−2−200002222-2-200002-20022−2−222−2−20000
χ122222-2-200002-200−2−222−2−22200002222-2-200002-200−2−222−2−2220000
χ132222-2-20000-220022−2−2−2−22200002222-2-20000-220022−2−2−2−2220000
χ142222-2-20000-2200−2−22222−2−200002222-2-20000-2200−2−22222−2−20000
χ152-22-22-20000002-2i2−i2i2−i2i2−i2i2−i200002-22-22-20000002-2i2−i2i2−i2i2−i2i2−i20000
χ162-22-22-20000002-2−i2i2−i2i2−i2i2−i2i200002-22-22-20000002-2−i2i2−i2i2−i2i2−i2i20000
χ172-22-22-2000000-22i2−i2i2−i2−i2i2−i2i200002-22-22-2000000-22i2−i2i2−i2−i2i2−i2i20000
χ182-22-22-2000000-22−i2i2−i2i2i2−i2i2−i200002-22-22-2000000-22−i2i2−i2i2i2−i2i2−i20000
χ192-22-2-2222-2-2000000002i−2i−2i2i00002-22-2-2222-2-2000000002i−2i−2i2i0000
χ202-22-2-2222-2-200000000−2i2i2i−2i00002-22-2-2222-2-200000000−2i2i2i−2i0000
χ212-22-2-22-2-22200002i−2i−2i2i000000002-22-2-22-2-22200002i−2i−2i2i00000000
χ222-22-2-22-2-2220000−2i2i2i−2i000000002-22-2-22-2-2220000−2i2i2i−2i00000000
χ2344-4-40022−2222−22000000000000000044-4-40022−2222−220000000000000000
χ2444-4-400−2222−2222000000000000000044-4-400−2222−22220000000000000000
χ254-4-440022−22−222200000000000000004-4-440022−22−22220000000000000000
χ264-4-4400−222222−2200000000000000004-4-4400−222222−220000000000000000
χ2711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ281111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2911111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ3011111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1
χ311111111111-1-1-1-11111-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-11-11
χ321111111111-1-1-1-11111-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-11-1
χ331111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ341111111111-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11-1-11
χ35222222-2-2-2-222-2-2000000000000-2-2-2-2-2-22222-2-222000000000000
χ36222222-2-2-2-2-2-222000000000000-2-2-2-2-2-2222222-2-2000000000000
χ372222-2-200002-20022−2−222−2−20000-2-2-2-2220000-2200−2−222−2−2220000
χ382222-2-200002-200−2−222−2−2220000-2-2-2-2220000-220022−2−222−2−20000
χ392222-2-20000-220022−2−2−2−2220000-2-2-2-22200002-200−2−22222−2−20000
χ402222-2-20000-2200−2−22222−2−20000-2-2-2-22200002-20022−2−2−2−2220000
χ412-22-22-20000002-2i2−i2i2−i2i2−i2i2−i20000-22-22-22000000-22−i2i2−i2i2−i2i2−i2i20000
χ422-22-22-20000002-2−i2i2−i2i2−i2i2−i2i20000-22-22-22000000-22i2−i2i2−i2i2−i2i2−i20000
χ432-22-22-2000000-22i2−i2i2−i2−i2i2−i2i20000-22-22-220000002-2−i2i2−i2i2i2−i2i2−i20000
χ442-22-22-2000000-22−i2i2−i2i2i2−i2i2−i20000-22-22-220000002-2i2−i2i2−i2−i2i2−i2i20000
χ452-22-2-2222-2-2000000002i−2i−2i2i0000-22-222-2-2-22200000000−2i2i2i−2i0000
χ462-22-2-2222-2-200000000−2i2i2i−2i0000-22-222-2-2-222000000002i−2i−2i2i0000
χ472-22-2-22-2-22200002i−2i−2i2i00000000-22-222-222-2-20000−2i2i2i−2i00000000
χ482-22-2-22-2-2220000−2i2i2i−2i00000000-22-222-222-2-200002i−2i−2i2i00000000
χ4944-4-40022−2222−220000000000000000-4-44400−2222−22220000000000000000
χ5044-4-400−2222−22220000000000000000-4-4440022−2222−220000000000000000
χ514-4-440022−22−22220000000000000000-444-400−222222−220000000000000000
χ524-4-4400−222222−220000000000000000-444-40022−22−22220000000000000000

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