Finite Group Databasebeta

← Group #19263

Character table — Group #19263

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111122222222222222222244444444444444444444441616161616161616
order1222224444444488888888444444444488888888888824448888
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-1
χ611111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111
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
χ91111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-1
χ101111-1-1-1-1-1-111111111-1-1-1-11-11111-1-1-1-111-1-11111-1-1-1-1-1-111-11-11
χ111111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11-11
χ121111-1-1-1-1-1-111111111-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-11-1
χ131111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-11
χ141111-1-1-1-1-1-11111-1-1-1-111111-11111-1-1-1-1-1-111-1-1-1-11111-111-1-111-1
χ151111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1111111-1-1-1-11-1-11-111-1
χ161111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-1-11111-1-1111111-1-1-1-1-111-11-1-11
χ1722222222-2-22-2-2222222222-2-200000000-2-2-2-20000000000000000
χ1822222222-2-22-2-22-2-2-2-2-2-2-2-2-2-20000000022220000000000000000
χ19222222-2-222-2-2-2-2000000002-20000000000002i2i−2i−2i2i2i−2i−2i00000000
χ20222222-2-222-2-2-2-2000000002-2000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ21222222-2-2-2-2-222-200000000-2222-2-222-2-200000000000000000000
χ22222222-2-2-2-2-222-200000000-22-2-222-2-22200000000000000000000
χ232222-2-22222-222-200000000-2-222-2-2-2-22200000000000000000000
χ242222-2-22222-222-200000000-2-2-2-22222-2-200000000000000000000
χ252222-2-222-2-2-2-2-2-200000000220000000000002i2i−2i−2i−2i−2i2i2i00000000
χ262222-2-222-2-2-2-2-2-20000000022000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ272222-2-2-2-2222-2-222222-2-2-2-2-2200000000-2-2220000000000000000
χ282222-2-2-2-2222-2-22-2-2-2-22222-220000000022-2-20000000000000000
χ292-22-2002i−2i2i−2i02-20i2i2−i2−i222−2−200002i−2i2-200i2−i22−22−22−2i2−i2i2−i200000000
χ302-22-2002i−2i2i−2i02-20i2i2−i2−i222−2−20000−2i2i-2200i2−i22−2−22−22−i2i2−i2i200000000
χ312-22-2002i−2i2i−2i02-20−i2−i2i2i2−2−22200002i−2i2-200−i2i2−22−22−22−i2i2−i2i200000000
χ322-22-2002i−2i2i−2i02-20−i2−i2i2i2−2−2220000−2i2i-2200−i2i2−222−22−2i2−i2i2−i200000000
χ332-22-2002i−2i−2i2i0-220i2i2−i2−i222−2−2002-200002i−2i−i2i2−22i2−i2−i2i22−2−2200000000
χ342-22-2002i−2i−2i2i0-220i2i2−i2−i222−2−200-220000−2i2i−i2i2−22−i2i2i2−i2−222−200000000
χ352-22-2002i−2i−2i2i0-220−i2−i2i2i2−2−222002-200002i−2ii2−i22−2−i2i2i2−i2−222−200000000
χ362-22-2002i−2i−2i2i0-220−i2−i2i2i2−2−22200-220000−2i2ii2−i22−2i2−i2−i2i22−2−2200000000
χ372-22-200−2i2i2i−2i0-220i2i2−i2−i2−2−222002-20000−2i2i−i2i22−2i2−i2−i2i2−222−200000000
χ382-22-200−2i2i2i−2i0-220i2i2−i2−i2−2−22200-2200002i−2i−i2i22−2−i2i2i2−i22−2−2200000000
χ392-22-200−2i2i2i−2i0-220−i2−i2i2i222−2−2002-20000−2i2ii2−i2−22−i2i2i2−i22−2−2200000000
χ402-22-200−2i2i2i−2i0-220−i2−i2i2i222−2−200-2200002i−2ii2−i2−22i2−i2−i2i2−222−200000000
χ412-22-200−2i2i−2i2i02-20i2i2−i2−i2−2−22200002i−2i-2200i2−i2−222−22−2−i2i2−i2i200000000
χ422-22-200−2i2i−2i2i02-20i2i2−i2−i2−2−2220000−2i2i2-200i2−i2−22−22−22i2−i2i2−i200000000
χ432-22-200−2i2i−2i2i02-20−i2−i2i2i222−2−200002i−2i-2200−i2i22−2−22−22i2−i2i2−i200000000
χ442-22-200−2i2i−2i2i02-20−i2−i2i2i222−2−20000−2i2i2-200−i2i22−22−22−2−i2i2−i2i200000000
χ4544-4-4000000400-44-44-40000000000000000000000000000000000
χ4644-4-4000000400-4-44-440000000000000000000000000000000000
χ4744-4-4000000-400400004i−4i4i−4i000000000000000000000000000000
χ4844-4-4000000-40040000−4i4i−4i4i000000000000000000000000000000
χ494-4-444-4000000002i2−2i2−2i22i22i2−2i2−2i22i2000000000000000000000000000000
χ504-4-444-400000000−2i22i22i2−2i2−2i22i22i2−2i2000000000000000000000000000000
χ514-4-44-44000000002i2−2i2−2i22i2−2i22i22i2−2i2000000000000000000000000000000
χ524-4-44-4400000000−2i22i22i2−2i22i2−2i2−2i22i2000000000000000000000000000000

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