Finite Group Databasebeta

← Group #19271

Character table — Group #19271

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222224444444488888888224444444488888888888844448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-11-1-11111111-1-1-1-1111-111-1-1-1-111-1-11111-1-1-1-11-11-11-11-1
χ101111-1-1-1-11-1-11111111-1-1-1-1111-111-1-1-1-111-1-11111-1-1-1-1-11-11-11-11
χ111111-1-1-1-11-1-11111111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-111111-11-1-11-11
χ121111-1-1-1-11-1-11111111-1-1-1-1-1-11-1-1-1111111-1-1-1-1-1-11111-11-111-11-1
χ131111-1-1-1-11-1-1111-1-1-1-11111111-111-1-1-1-1-1-111-1-1-1-111111-1-111-1-11
χ141111-1-1-1-11-1-1111-1-1-1-11111111-111-1-1-1-1-1-111-1-1-1-11111-111-1-111-1
χ151111-1-1-1-11-1-1111-1-1-1-11111-1-11-1-1-11111-1-1111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-11-1-1111-1-1-1-11111-1-11-1-1-11111-1-1111111-1-1-1-1-111-11-1-11
χ1722222222-2-2-2-2-2-200000000002-200000000002i2i−2i−2i2i2i−2i−2i00000000
χ1822222222-2-2-2-2-2-200000000002-20000000000−2i−2i2i2i−2i−2i2i2i00000000
χ19222222-2-2222-2-220000000022-2-2-2-2-2-22200000000000000000000
χ20222222-2-2222-2-2200000000-2-2-2-22222-2-200000000000000000000
χ21222222-2-2-2-2-222-22222-2-2-2-200-22000000-2-2220000000000000000
χ22222222-2-2-2-2-222-2-2-2-2-2222200-2200000022-2-20000000000000000
χ232222-2-2222-2-2-2-220000000022-22-2-222-2-200000000000000000000
χ242222-2-2222-2-2-2-2200000000-2-2-2222-2-22200000000000000000000
χ252222-2-222-22222-22222222200-2-2000000-2-2-2-20000000000000000
χ262222-2-222-22222-2-2-2-2-2-2-2-2-200-2-200000022220000000000000000
χ272222-2-2-2-2-222-2-2-200000000002200000000002i2i−2i−2i−2i−2i2i2i00000000
χ282222-2-2-2-2-222-2-2-20000000000220000000000−2i−2i2i2i2i2i−2i−2i00000000
χ292-2-222-20022-200-222−2−222−2−200002i−2i2i−2i002−22−2i2−i2i2−i2i2−i2i2−i200000000
χ302-2-222-20022-200-222−2−222−2−20000−2i2i−2i2i002−22−2−i2i2−i2i2−i2i2−i2i200000000
χ312-2-222-20022-200-2−2−222−2−22200002i−2i2i−2i00−22−22−i2i2−i2i2−i2i2−i2i200000000
χ322-2-222-20022-200-2−2−222−2−2220000−2i2i−2i2i00−22−22i2−i2i2−i2i2−i2i2−i200000000
χ332-2-222-200-2-2200222−2−2−2−2222-20000002-2−222−22−2−222−2−2200000000
χ342-2-222-200-2-2200222−2−2−2−222-22000000-22−222−2−222−2−222−200000000
χ352-2-222-200-2-22002−2−22222−2−22-20000002-22−2−22−222−2−222−200000000
χ362-2-222-200-2-22002−2−22222−2−2-22000000-222−2−222−2−222−2−2200000000
χ372-2-22-22002-2200-222−2−2−2−22200002i−2i−2i2i002−2−22i2−i2i2−i2−i2i2−i2i200000000
χ382-2-22-22002-2200-222−2−2−2−2220000−2i2i2i−2i002−2−22−i2i2−i2i2i2−i2i2−i200000000
χ392-2-22-22002-2200-2−2−22222−2−200002i−2i−2i2i00−222−2−i2i2−i2i2i2−i2i2−i200000000
χ402-2-22-22002-2200-2−2−22222−2−20000−2i2i2i−2i00−222−2i2−i2i2−i2−i2i2−i2i200000000
χ412-2-22-2200-22-200222−2−222−2−22-2000000-22−22−222−2−22−222−200000000
χ422-2-22-2200-22-200222−2−222−2−2-220000002-2−22−22−222−22−2−2200000000
χ432-2-22-2200-22-2002−2−222−2−2222-2000000-222−22−2−222−22−2−2200000000
χ442-2-22-2200-22-2002−2−222−2−222-220000002-22−22−22−2−22−222−200000000
χ4544-4-400000004-4000004-44-4000000000000000000000000000000
χ4644-4-400000004-400000-44-44000000000000000000000000000000
χ4744-4-40000000-4404-44-40000000000000000000000000000000000
χ4844-4-40000000-440-44-440000000000000000000000000000000000
χ494-44-4004-400000022−22−222222−22−2222000000000000000000000000000000
χ504-44-4004-4000000−222222−22−222222−22000000000000000000000000000000
χ514-44-400-4400000022−22−2222−222222−22000000000000000000000000000000
χ524-44-400-44000000−222222−2222−22−2222000000000000000000000000000000

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