Finite Group Databasebeta

← Group #19606

Character table — Group #19606

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222244444444444416161616111122222244444444444416161616
order1222444444888888888888224422224444448888888888882244
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
χ112222-2-222-2-20000000022-2-200002222-2-222-2-20000000022-2-20000
χ122222-2-222-2-200000000-2-22200002222-2-222-2-200000000-2-2220000
χ132222-2-2-2-222000022-2-2000000002222-2-2-2-222000022-2-200000000
χ142222-2-2-2-2220000-2-222000000002222-2-2-2-2220000-2-22200000000
χ1522-2-22-20000002-2i2−i2i2−i2i2−i2i2−i2000022-2-22-20000002-2i2−i2i2−i2i2−i2i2−i20000
χ1622-2-22-20000002-2−i2i2−i2i2−i2i2−i2i2000022-2-22-20000002-2−i2i2−i2i2−i2i2−i2i20000
χ1722-2-22-2000000-22i2−i2i2−i2−i2i2−i2i2000022-2-22-2000000-22i2−i2i2−i2−i2i2−i2i20000
χ1822-2-22-2000000-22−i2i2−i2i2i2−i2i2−i2000022-2-22-2000000-22−i2i2−i2i2i2−i2i2−i20000
χ1922-2-2-2200002-200i2−i2−i2i2i2−i2−i2i2000022-2-2-2200002-200i2−i2−i2i2i2−i2−i2i20000
χ2022-2-2-2200002-200−i2i2i2−i2−i2i2i2−i2000022-2-2-2200002-200−i2i2i2−i2−i2i2i2−i20000
χ2122-2-2-220000-2200i2−i2−i2i2−i2i2i2−i2000022-2-2-220000-2200i2−i2−i2i2−i2i2i2−i20000
χ2222-2-2-220000-2200−i2i2i2−i2i2−i2−i2i2000022-2-2-220000-2200−i2i2i2−i2i2−i2−i2i20000
χ234-44-400004-400000000000000004-44-400004-40000000000000000
χ244-44-40000-4400000000000000004-44-40000-440000000000000000
χ254-4-44004-40000000000000000004-4-44004-4000000000000000000
χ264-4-4400-440000000000000000004-4-4400-44000000000000000000
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
χ372222-2-222-2-20000000022-2-20000-2-2-2-222-2-22200000000-2-2220000
χ382222-2-222-2-200000000-2-2220000-2-2-2-222-2-2220000000022-2-20000
χ392222-2-2-2-222000022-2-200000000-2-2-2-22222-2-20000-2-22200000000
χ402222-2-2-2-2220000-2-22200000000-2-2-2-22222-2-2000022-2-200000000
χ4122-2-22-20000002-2i2−i2i2−i2i2−i2i2−i20000-2-222-22000000-22−i2i2−i2i2−i2i2−i2i20000
χ4222-2-22-20000002-2−i2i2−i2i2−i2i2−i2i20000-2-222-22000000-22i2−i2i2−i2i2−i2i2−i20000
χ4322-2-22-2000000-22i2−i2i2−i2−i2i2−i2i20000-2-222-220000002-2−i2i2−i2i2i2−i2i2−i20000
χ4422-2-22-2000000-22−i2i2−i2i2i2−i2i2−i20000-2-222-220000002-2i2−i2i2−i2−i2i2−i2i20000
χ4522-2-2-2200002-200i2−i2−i2i2i2−i2−i2i20000-2-2222-20000-2200−i2i2i2−i2−i2i2i2−i20000
χ4622-2-2-2200002-200−i2i2i2−i2−i2i2i2−i20000-2-2222-20000-2200i2−i2−i2i2i2−i2−i2i20000
χ4722-2-2-220000-2200i2−i2−i2i2−i2i2i2−i20000-2-2222-200002-200−i2i2i2−i2i2−i2−i2i20000
χ4822-2-2-220000-2200−i2i2i2−i2i2−i2−i2i20000-2-2222-200002-200i2−i2−i2i2−i2i2i2−i20000
χ494-44-400004-40000000000000000-44-440000-440000000000000000
χ504-44-40000-440000000000000000-44-4400004-40000000000000000
χ514-4-44004-4000000000000000000-444-400-44000000000000000000
χ524-4-4400-44000000000000000000-444-4004-4000000000000000000

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