Finite Group Databasebeta

← Group #12838

Character table — Group #12838

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222222224444444444444444444444441616161616161616
order12224444224488888888224488881616161616161616161616161616161688888888
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
χ511111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ91111-1-1-1-1-1-11111-1-1-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−i
χ101111-1-1-1-1-1-11111-1-1-1-1111-11-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii
χ111111-1-1-1-1-1-11111-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−ii
χ121111-1-1-1-1-1-11111-1-1-1-1111-11-111-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i
χ131111-1-1-1-1-1-11111-1-1-1-111-11-11-1-1111111-1-1-1-1-1-1-1-11111i−i−iii−i−ii
χ141111-1-1-1-1-1-11111-1-1-1-111-11-11-1-1111111-1-1-1-1-1-1-1-11111−iii−i−iii−i
χ151111-1-1-1-1-1-11111-1-1-1-111-11-11-1-111-1-1-1-111111111-1-1-1-1i−i−ii−iii−i
χ161111-1-1-1-1-1-11111-1-1-1-111-11-11-1-111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii
χ17222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2000000002-2-22000022−2−222−2−222−2−222−2−200000000
χ2022222222-2-2-2-2000000002-2-220000−2−222−2−222−2−222−2−22200000000
χ2122222222-2-2-2-200000000-222-2000022−2−222−2−2−2−222−2−22200000000
χ2222222222-2-2-2-200000000-222-20000−2−222−2−22222−2−222−2−200000000
χ232222-2-2-2-222-2-20000000022-2-2000022−2−2−2−22222−2−2−2−22200000000
χ242222-2-2-2-222-2-20000000022-2-20000−2−22222−2−2−2−22222−2−200000000
χ252222-2-2-2-222-2-200000000-2-222000022−2−2−2−222−2−22222−2−200000000
χ262222-2-2-2-222-2-200000000-2-2220000−2−22222−2−222−2−2−2−22200000000
χ272222-2-2-2-2-2-222-2-22222-2-22-22-2-2-222000000000000000000000000
χ282222-2-2-2-2-2-222-2-22222-2-2-22-2222-2-2000000000000000000000000
χ292-2-2222-2-22-22-20000000000002i−2i2i−2ii2−i2i2−i2i2−i2i2−i22−22−22−22−200000000
χ302-2-2222-2-22-22-20000000000002i−2i2i−2i−i2i2−i2i2−i2i2−i2i2−22−22−22−2200000000
χ312-2-2222-2-22-22-2000000000000−2i2i−2i2ii2−i2i2−i2i2−i2i2−i2−22−22−22−2200000000
χ322-2-2222-2-22-22-2000000000000−2i2i−2i2i−i2i2−i2i2−i2i2−i2i22−22−22−22−200000000
χ332-2-2222-2-2-22-222222-2-2-2-2000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ342-2-2222-2-2-22-222222-2-2-2-200000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ352-2-2222-2-2-22-22-2-2-2-2222200000000000000002-2-222-2-2200000000
χ362-2-2222-2-2-22-22-2-2-2-222220000000000000000-222-2-222-200000000
χ372-2-22-2-2222-2-2222-2-222-2-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ382-2-22-2-2222-2-2222-2-222-2-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ392-2-22-2-2222-2-22-2-222-2-22200000000000000002-2-22-222-200000000
χ402-2-22-2-2222-2-22-2-222-2-2220000000000000000-222-22-2-2200000000
χ412-2-22-2-222-222-20000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i22−22−2−22−2200000000
χ422-2-22-2-222-222-20000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000
χ432-2-22-2-222-222-2000000000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2−22−222−22−200000000
χ442-2-22-2-222-222-2000000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000
χ4544-4-44i−4i4i−4i000022−222i2−2i22i2−2i222−2200000000000000000000000000000000
χ4644-4-44i−4i4i−4i0000−2222−2i22i2−2i22i2−222200000000000000000000000000000000
χ4744-4-4−4i4i−4i4i000022−22−2i22i2−2i22i222−2200000000000000000000000000000000
χ4844-4-4−4i4i−4i4i0000−22222i2−2i22i2−2i2−222200000000000000000000000000000000
χ494-44-44i−4i−4i4i000022−222i2−2i2−2i22i2−222200000000000000000000000000000000
χ504-44-44i−4i−4i4i0000−2222−2i22i22i2−2i222−2200000000000000000000000000000000
χ514-44-4−4i4i4i−4i000022−22−2i22i22i2−2i2−222200000000000000000000000000000000
χ524-44-4−4i4i4i−4i0000−22222i2−2i2−2i22i222−2200000000000000000000000000000000

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