Finite Group Databasebeta

← Group #29039

Character table — Group #29039

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882244444444888888888888224444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ9111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ10111111111-1-1-1-11111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ11111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ12111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-111-1-1-1-111-111-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1111-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-11111-1-1-111-1
χ1722222222-22222-2-2-20000000022-2-2-2-2-2-222000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-222-2-22222000000000000000000000000
χ2122-2-222-2-222i2i−2i−2i-2-222222-2-2-2-2002i−2i0000002i2i−2i−2i00000000000000000000
χ2222-2-222-2-222i2i−2i−2i-2-22-2-2-2-22222002i−2i000000−2i−2i2i2i00000000000000000000
χ2322-2-222-2-22−2i−2i2i2i-2-222222-2-2-2-200−2i2i000000−2i−2i2i2i00000000000000000000
χ2422-2-222-2-22−2i−2i2i2i-2-22-2-2-2-2222200−2i2i0000002i2i−2i−2i00000000000000000000
χ2522-2-222-2-2-22i2i−2i−2i22-20000000000−2i2i000000000022-2-22i2i−2i−2i000000000000
χ2622-2-222-2-2-22i2i−2i−2i22-20000000000−2i2i0000000000-2-222−2i−2i2i2i000000000000
χ2722-2-222-2-2-2−2i−2i2i2i22-200000000002i−2i000000000022-2-2−2i−2i2i2i000000000000
χ2822-2-222-2-2-2−2i−2i2i2i22-200000000002i−2i0000000000-2-2222i2i−2i−2i000000000000
χ292-222-22-2-202i−2i2i−2i00022−2−222−2−200002-22i−2i00i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ302-222-22-2-202i−2i2i−2i00022−2−222−2−20000-22−2i2i00i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ312-222-22-2-202i−2i2i−2i000−2−222−2−22200002-22i−2i00−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ322-222-22-2-202i−2i2i−2i000−2−222−2−2220000-22−2i2i00−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ332-222-22-2-20−2i2i−2i2i00022−2−222−2−200002-2−2i2i00−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ342-222-22-2-20−2i2i−2i2i00022−2−222−2−20000-222i−2i00−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ352-222-22-2-20−2i2i−2i2i000−2−222−2−22200002-2−2i2i00i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ362-222-22-2-20−2i2i−2i2i000−2−222−2−2220000-222i−2i00i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ372-22-22-22-2200002-2-22i−2i2i−2i2i−2i2i−2i000000000000000000000000002-22i−2i0000
χ382-22-22-22-2200002-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000000000-22−2i2i0000
χ392-22-22-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i000000000000000000000000002-2−2i2i0000
χ402-22-22-22-2200002-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000-222i−2i0000
χ412-2-222-2-2220000-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000002-22i−2i00000000
χ422-2-222-2-2220000-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000-22−2i2i00000000
χ432-2-222-2-2220000-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000002-2−2i2i00000000
χ442-2-222-2-2220000-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000-222i−2i00000000
χ452-2-2-2-222202-2-2200022−2−2−2−2222-20000002-22−2−222−2−222−2−22000000000000
χ462-2-2-2-222202-2-2200022−2−2−2−222-22000000-222−2−22−222−2−222−2000000000000
χ472-2-2-2-222202-2-22000−2−22222−2−22-20000002-2−222−2−222−2−222−2000000000000
χ482-2-2-2-222202-2-22000−2−22222−2−2-22000000-22−222−22−2−222−2−22000000000000
χ492-2-2-2-22220-222-200022−2−2−2−2222-2000000-22−222−2−222−22−2−22000000000000
χ502-2-2-2-22220-222-200022−2−2−2−222-220000002-2−222−22−2−22−222−2000000000000
χ512-2-2-2-22220-222-2000−2−22222−2−22-2000000-222−2−222−2−22−222−2000000000000
χ522-2-2-2-22220-222-2000−2−22222−2−2-220000002-22−2−22−222−22−2−22000000000000
χ53444-4-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ54444-4-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5544-44-4-44-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5644-44-4-44-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ574-44-44-44-4-40000-444000000000000000000000000000000000000000000
χ584-4-444-4-44-400004-44000000000000000000000000000000000000000000

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