Finite Group Databasebeta

← Group #28339

Character table — Group #28339

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882244444444888888888888224444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-11-11
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-11-1
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111-11-1
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-11-11
χ9111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ12111111111-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-111-1
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-11
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-111-1-11-1-11
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-111-111-1
χ1722222222-22222-2-2-200000000-2-222-2-222-2-2000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-22222-2-2000000000000000000000000
χ21222-2-22-2-202i2i−2i−2i0002222−2−2−2−200002-2002i−2i22−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ22222-2-22-2-202i2i−2i−2i0002222−2−2−2−20000-2200−2i2i−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ23222-2-22-2-202i2i−2i−2i000−2−2−2−2222200002-2002i−2i−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ24222-2-22-2-202i2i−2i−2i000−2−2−2−222220000-2200−2i2i22−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ25222-2-22-2-20−2i−2i2i2i0002222−2−2−2−200002-200−2i2i22−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ26222-2-22-2-20−2i−2i2i2i0002222−2−2−2−20000-22002i−2i−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ27222-2-22-2-20−2i−2i2i2i000−2−2−2−2222200002-200−2i2i−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ28222-2-22-2-20−2i−2i2i2i000−2−2−2−222220000-22002i−2i22−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ2922-22-2-2-22200002-2-22i2i−2i−2i2i2i−2i−2i000000000000000000000000002i−2i2-20000
χ3022-22-2-2-22200002-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000−2i2i-220000
χ3122-22-2-2-22200002-2-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002i−2i-220000
χ3222-22-2-2-22200002-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000−2i2i2-20000
χ332-22-22-2-2220000-22-22i−2i2i−2i2i−2i2i−2i00000000000000000000002-22i−2i00000000
χ342-22-22-2-2220000-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000-22−2i2i00000000
χ352-22-22-2-2220000-22-2−2i2i−2i2i−2i2i−2i2i00000000000000000000002-2−2i2i00000000
χ362-22-22-2-2220000-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000-222i−2i00000000
χ372-2-2222-2-202i−2i2i−2i0002−2−22−222−2002-2002i−2i002−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ382-2-2222-2-202i−2i2i−2i0002−2−22−222−200-2200−2i2i00−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ392-2-2222-2-202i−2i2i−2i000−222−22−2−22002-2002i−2i00−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ402-2-2222-2-202i−2i2i−2i000−222−22−2−2200-2200−2i2i002−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ412-2-2222-2-20−2i2i−2i2i0002−2−22−222−2002-200−2i2i002−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ422-2-2222-2-20−2i2i−2i2i0002−2−22−222−200-22002i−2i00−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ432-2-2222-2-20−2i2i−2i2i000−222−22−2−22002-200−2i2i00−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ442-2-2222-2-20−2i2i−2i2i000−222−22−2−2200-22002i−2i002−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ452-2-2-2-222222-2-22-2-222-2-222-2-222-200000000000000002-2-22000000000000
χ462-2-2-2-222222-2-22-2-22-222-2-222-22-20000000000000000-222-2000000000000
χ472-2-2-2-22222-222-2-2-222-2-222-2-22-220000000000000000-222-2000000000000
χ482-2-2-2-22222-222-2-2-22-222-2-222-2-2200000000000000002-2-22000000000000
χ492-2-2-2-2222-22-2-2222-200000000-22000000002-2-222-2-220000000000000000
χ502-2-2-2-2222-22-2-2222-200000000-2200000000-222-2-222-20000000000000000
χ512-2-2-2-2222-2-222-222-2000000002-2000000002-2-22-222-20000000000000000
χ522-2-2-2-2222-2-222-222-2000000002-200000000-222-22-2-220000000000000000
χ5344-44-4-4-44-40000-444000000000000000000000000000000000000000000
χ5444-4-44-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5544-4-44-44-400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ564-444-4-44-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ574-444-4-44-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ584-44-44-4-44-400004-44000000000000000000000000000000000000000000

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