Finite Group Databasebeta

← Group #9770

Character table — Group #9770

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222224444444488888888448888888888888888888844448888
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
χ511111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i
χ101111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii
χ111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii
χ121111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i
χ131111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii
χ141111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i
χ151111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i
χ161111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii
χ1722222222-2-2-2-2-2-2000000002-20000000000002i2i−2i−2i2i2i−2i−2i00000000
χ1822222222-2-2-2-2-2-2000000002-2000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ19222222-2-222-2-2222222-2-2-2-2-2-2-2-222000000000000000000000000
χ20222222-2-222-2-222-2-2-2-22222-2-222-2-2000000000000000000000000
χ21222222-2-2-2-222-2-200000000-2200002i2i−2i−2i2i2i−2i−2i0000000000000000
χ22222222-2-2-2-222-2-200000000-220000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ232222-2-2222222-2-222222222-2-2-2-2-2-2000000000000000000000000
χ242222-2-2222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ252222-2-222-2-2-2-22200000000-22000022-2-2-2-2220000000000000000
χ262222-2-222-2-2-2-22200000000-220000-2-22222-2-20000000000000000
χ272222-2-2-2-2-2-22222000000002-200000000000022-2-2-2-22200000000
χ282222-2-2-2-2-2-22222000000002-2000000000000-2-22222-2-200000000
χ292-22-22-2002-2002-200002i2i−2i−2i002i−2i00i2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ302-22-22-2002-2002-200002i2i−2i−2i002i−2i00−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ312-22-22-2002-2002-20000−2i−2i2i2i00−2i2i00i2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ322-22-22-2002-2002-20000−2i−2i2i2i00−2i2i00−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ332-22-22-200-2200-222i2i−2i−2i000000002i−2i2−2−222−2−22i2−i2−i2i2i2−i2−i2i200000000
χ342-22-22-200-2200-222i2i−2i−2i000000002i−2i−222−2−222−2−i2i2i2−i2−i2i2i2−i200000000
χ352-22-22-200-2200-22−2i−2i2i2i00000000−2i2i2−2−222−2−22−i2i2i2−i2−i2i2i2−i200000000
χ362-22-22-200-2200-22−2i−2i2i2i00000000−2i2i−222−2−222−2i2−i2−i2i2i2−i2−i2i200000000
χ372-22-2-22002-200-2200002i2i−2i−2i00−2i2i002−22−2−22−22i2−i2i2−i2−i2i2−i2i200000000
χ382-22-2-22002-200-2200002i2i−2i−2i00−2i2i00−22−222−22−2−i2i2−i2i2i2−i2i2−i200000000
χ392-22-2-22002-200-220000−2i−2i2i2i002i−2i002−22−2−22−22−i2i2−i2i2i2−i2i2−i200000000
χ402-22-2-22002-200-220000−2i−2i2i2i002i−2i00−22−222−22−2i2−i2i2−i2−i2i2−i2i200000000
χ412-22-2-2200-22002-22i2i−2i−2i00000000−2i2ii2−i2−i2i2−i2i2i2−i2−222−22−2−2200000000
χ422-22-2-2200-22002-22i2i−2i−2i00000000−2i2i−i2i2i2−i2i2−i2−i2i22−2−22−222−200000000
χ432-22-2-2200-22002-2−2i−2i2i2i000000002i−2ii2−i2−i2i2−i2i2i2−i22−2−22−222−200000000
χ442-22-2-2200-22002-2−2i−2i2i2i000000002i−2i−i2i2i2−i2i2−i2−i2i2−222−22−2−2200000000
χ4544-4-4004-400000022−2222−2222−2222−22000000000000000000000000000000
χ4644-4-4004-4000000−2222−2222−2222−2222000000000000000000000000000000
χ4744-4-400-4400000022−2222−22−2222−2222000000000000000000000000000000
χ4844-4-400-44000000−2222−222222−2222−22000000000000000000000000000000
χ494-4-440000004-4002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ504-4-440000004-400−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ514-4-44000000-44002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ524-4-44000000-4400−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000

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