Finite Group Databasebeta

← Group #19655

Character table — Group #19655

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222224444444488888888448888888888888888888822444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-1
χ91111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11-11-1
χ101111-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-11-11
χ111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-11-11
χ121111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111-11-1
χ131111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-11
χ141111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1
χ151111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-11-1-11
χ1722222222-2-222-2-22222-2-2-2-2-2-222-2-2000000000000000000000000
χ1822222222-2-222-2-2-2-2-2-22222-2-2-2-222000000000000000000000000
χ19222222-2-222-2-2-2-2000000002-200000000000022-2-222-2-200000000
χ20222222-2-222-2-2-2-2000000002-2000000000000-2-222-2-22200000000
χ21222222-2-2-2-2-2-22200000000-22000022-2-222-2-20000000000000000
χ22222222-2-2-2-2-2-22200000000-220000-2-222-2-2220000000000000000
χ232222-2-22222-2-2-2-200000000-2200000000000022-2-2-2-22200000000
χ242222-2-22222-2-2-2-200000000-22000000000000-2-22222-2-200000000
χ252222-2-222-2-2-2-222000000002-2000022-2-2-2-2220000000000000000
χ262222-2-222-2-2-2-222000000002-20000-2-22222-2-20000000000000000
χ272222-2-2-2-2-2-222-2-22222-2-2-2-222-2-222000000000000000000000000
χ282222-2-2-2-2-2-222-2-2-2-2-2-222222222-2-2000000000000000000000000
χ292-22-22-22-2002-200000022-2-200002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000
χ302-22-22-22-2002-200000022-2-200002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000
χ312-22-22-22-2002-2000000-2-2220000-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000
χ322-22-22-22-2002-2000000-2-2220000-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000
χ332-22-22-2-2200-220022-2-20000002-200i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i200000000
χ342-22-22-2-2200-220022-2-20000002-200−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i200000000
χ352-22-22-2-2200-2200-2-222000000-2200i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i200000000
χ362-22-22-2-2200-2200-2-222000000-2200−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i200000000
χ372-22-2-222-200-220022-2-2000000-2200i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200000000
χ382-22-2-222-200-220022-2-2000000-2200−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200000000
χ392-22-2-222-200-2200-2-2220000002-200i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i200000000
χ402-22-2-222-200-2200-2-2220000002-200−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i200000000
χ412-22-2-22-22002-200000022-2-20000-22i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i200000000
χ422-22-2-22-22002-200000022-2-20000-22−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i200000000
χ432-22-2-22-22002-2000000-2-22200002-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200000000
χ442-22-2-22-22002-2000000-2-22200002-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200000000
χ4544-4-400004-4000022−2222−2222−2222−22000000000000000000000000000000
χ4644-4-400004-40000−2222−2222−2222−2222000000000000000000000000000000
χ4744-4-40000-44000022−2222−22−2222−2222000000000000000000000000000000
χ4844-4-40000-440000−2222−222222−2222−22000000000000000000000000000000
χ494-4-44000000004-422−22−222222−22−2222000000000000000000000000000000
χ504-4-44000000004-4−222222−22−222222−22000000000000000000000000000000
χ514-4-4400000000-4422−22−2222−222222−22000000000000000000000000000000
χ524-4-4400000000-44−222222−2222−22−2222000000000000000000000000000000

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