Finite Group Databasebeta

← Group #19643

Character table — Group #19643

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222444444444488888888248888888888888888888824444444
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
χ1722222222-2-222-2-200000000-2-200000000000022-2-222-2-200000000
χ1822222222-2-222-2-200000000-2-2000000000000-2-222-2-22200000000
χ19222222-2-222-2-2-2-2000000002-2000022-2-222-2-20000000000000000
χ20222222-2-222-2-2-2-2000000002-20000-2-222-2-2220000000000000000
χ21222222-2-2-2-2-2-2222222-2-2-2-2-2222-2-2000000000000000000000000
χ22222222-2-2-2-2-2-222-2-2-2-22222-22-2-222000000000000000000000000
χ232222-2-22222-2-2-2-200000000-22000022-2-2-2-2220000000000000000
χ242222-2-22222-2-2-2-200000000-220000-2-22222-2-20000000000000000
χ252222-2-222-2-2-2-2222222-2-2-2-22-2-2-222000000000000000000000000
χ262222-2-222-2-2-2-222-2-2-2-222222-222-2-2000000000000000000000000
χ272222-2-2-2-2-2-222-2-2000000002200000000000022-2-2-2-22200000000
χ282222-2-2-2-2-2-222-2-20000000022000000000000-2-22222-2-200000000
χ292-22-22i−2i2i−2i002-200i2i2−i2−i2i2i2−i2−i2002−22−2i2−i2i2−i22−22−2002-2002i−2i00000000
χ302-22-22i−2i2i−2i002-200i2i2−i2−i2i2i2−i2−i2002−22−2−i2i2−i2i2−22−2200-2200−2i2i00000000
χ312-22-22i−2i2i−2i002-200−i2−i2i2i2−i2−i2i2i200−22−22i2−i2i2−i22−22−200-2200−2i2i00000000
χ322-22-22i−2i2i−2i002-200−i2−i2i2i2−i2−i2i2i200−22−22−i2i2−i2i2−22−22002-2002i−2i00000000
χ332-22-22i−2i−2i2i00-2200i2i2−i2−i2−i2−i2i2i2002−2−22i2−i2−i2i22−2−222-2002i−2i0000000000
χ342-22-22i−2i−2i2i00-2200i2i2−i2−i2−i2−i2i2i2002−2−22−i2i2i2−i2−222−2-2200−2i2i0000000000
χ352-22-22i−2i−2i2i00-2200−i2−i2i2i2i2i2−i2−i200−222−2i2−i2−i2i22−2−22-2200−2i2i0000000000
χ362-22-22i−2i−2i2i00-2200−i2−i2i2i2i2i2−i2−i200−222−2−i2i2i2−i2−222−22-2002i−2i0000000000
χ372-22-2−2i2i2i−2i00-2200i2i2−i2−i2−i2−i2i2i200−222−2i2−i2−i2i2−222−22-200−2i2i0000000000
χ382-22-2−2i2i2i−2i00-2200i2i2−i2−i2−i2−i2i2i200−222−2−i2i2i2−i22−2−22-22002i−2i0000000000
χ392-22-2−2i2i2i−2i00-2200−i2−i2i2i2i2i2−i2−i2002−2−22i2−i2−i2i2−222−2-22002i−2i0000000000
χ402-22-2−2i2i2i−2i00-2200−i2−i2i2i2i2i2−i2−i2002−2−22−i2i2i2−i22−2−222-200−2i2i0000000000
χ412-22-2−2i2i−2i2i002-200i2i2−i2−i2i2i2−i2−i200−22−22i2−i2i2−i2−22−22002-200−2i2i00000000
χ422-22-2−2i2i−2i2i002-200i2i2−i2−i2i2i2−i2−i200−22−22−i2i2−i2i22−22−200-22002i−2i00000000
χ432-22-2−2i2i−2i2i002-200−i2−i2i2i2−i2−i2i2i2002−22−2i2−i2i2−i2−22−2200-22002i−2i00000000
χ442-22-2−2i2i−2i2i002-200−i2−i2i2i2−i2−i2i2i2002−22−2−i2i2−i2i22−22−2002-200−2i2i00000000
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
χ494-4-44000000004-400004i−4i−4i4i000000000000000000000000000000
χ504-4-44000000004-40000−4i4i4i−4i000000000000000000000000000000
χ514-4-4400000000-444i−4i−4i4i0000000000000000000000000000000000
χ524-4-4400000000-44−4i4i4i−4i0000000000000000000000000000000000

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