Finite Group Databasebeta

← Group #19607

Character table — Group #19607

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222244444444444416161616111122222244444444444416161616
order1222444444888888888888444422224444448888888888884444
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
χ9222222-2-2-2-20000000022-2-20000222222-2-2-2-20000000022-2-20000
χ10222222-2-2-2-200000000-2-2220000222222-2-2-2-200000000-2-2220000
χ112222-2-222-2-2000022-2-2000000002222-2-222-2-2000022-2-200000000
χ122222-2-222-2-20000-2-222000000002222-2-222-2-20000-2-22200000000
χ132222-2-2-2-22222-2-20000000000002222-2-2-2-22222-2-2000000000000
χ142222-2-2-2-222-2-2220000000000002222-2-2-2-222-2-222000000000000
χ152-2-2200002-2002-2i2−i2i2−i2i2−i2i2−i200002-2-2200002-2002-2i2−i2i2−i2i2−i2i2−i20000
χ162-2-2200002-2002-2−i2i2−i2i2−i2i2−i2i200002-2-2200002-2002-2−i2i2−i2i2−i2i2−i2i20000
χ172-2-2200002-200-22i2−i2i2−i2−i2i2−i2i200002-2-2200002-200-22i2−i2i2−i2−i2i2−i2i20000
χ182-2-2200002-200-22−i2i2−i2i2i2−i2i2−i200002-2-2200002-200-22−i2i2−i2i2i2−i2i2−i20000
χ192-2-220000-222-200i2−i2−i2i2i2−i2−i2i200002-2-220000-222-200i2−i2−i2i2i2−i2−i2i20000
χ202-2-220000-222-200−i2i2i2−i2−i2i2i2−i200002-2-220000-222-200−i2i2i2−i2−i2i2i2−i20000
χ212-2-220000-22-2200i2−i2−i2i2−i2i2i2−i200002-2-220000-22-2200i2−i2−i2i2−i2i2i2−i20000
χ222-2-220000-22-2200−i2i2i2−i2i2−i2−i2i200002-2-220000-22-2200−i2i2i2−i2i2−i2−i2i20000
χ2344-4-4004-400000000000000000044-4-4004-4000000000000000000
χ2444-4-400-4400000000000000000044-4-400-44000000000000000000
χ254-44-44-4000000000000000000004-44-44-400000000000000000000
χ264-44-4-44000000000000000000004-44-4-4400000000000000000000
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
χ35222222-2-2-2-20000000022-2-20000-2-2-2-2-2-2222200000000-2-2220000
χ36222222-2-2-2-200000000-2-2220000-2-2-2-2-2-222220000000022-2-20000
χ372222-2-222-2-2000022-2-200000000-2-2-2-222-2-2220000-2-22200000000
χ382222-2-222-2-20000-2-22200000000-2-2-2-222-2-222000022-2-200000000
χ392222-2-2-2-22222-2-2000000000000-2-2-2-22222-2-2-2-222000000000000
χ402222-2-2-2-222-2-222000000000000-2-2-2-22222-2-222-2-2000000000000
χ412-2-2200002-2002-2i2−i2i2−i2i2−i2i2−i20000-222-20000-2200-22−i2i2−i2i2−i2i2−i2i20000
χ422-2-2200002-2002-2−i2i2−i2i2−i2i2−i2i20000-222-20000-2200-22i2−i2i2−i2i2−i2i2−i20000
χ432-2-2200002-200-22i2−i2i2−i2−i2i2−i2i20000-222-20000-22002-2−i2i2−i2i2i2−i2i2−i20000
χ442-2-2200002-200-22−i2i2−i2i2i2−i2i2−i20000-222-20000-22002-2i2−i2i2−i2−i2i2−i2i20000
χ452-2-220000-222-200i2−i2−i2i2i2−i2−i2i20000-222-200002-2-2200−i2i2i2−i2−i2i2i2−i20000
χ462-2-220000-222-200−i2i2i2−i2−i2i2i2−i20000-222-200002-2-2200i2−i2−i2i2i2−i2−i2i20000
χ472-2-220000-22-2200i2−i2−i2i2−i2i2i2−i20000-222-200002-22-200−i2i2i2−i2i2−i2−i2i20000
χ482-2-220000-22-2200−i2i2i2−i2i2−i2−i2i20000-222-200002-22-200i2−i2−i2i2−i2i2i2−i20000
χ4944-4-4004-4000000000000000000-4-44400-44000000000000000000
χ5044-4-400-44000000000000000000-4-444004-4000000000000000000
χ514-44-44-400000000000000000000-44-44-4400000000000000000000
χ524-44-4-4400000000000000000000-44-444-400000000000000000000

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