Finite Group Databasebeta

← Group #28597

Character table — Group #28597

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882222444444888888888888444444442244
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11-11
χ121111111111-1-1-1-11111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111-11-1
χ131111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-22222-2-2000000002222-2-2-2-2-2-2000000000000000000000000
χ1822222222-2-22222-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-20000000022-2-222-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2000000000000000000000000
χ21222-2-2-2-220022-2-2002222−2−2−2−20000002i−2i2i−2i22−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ22222-2-2-2-220022-2-2002222−2−2−2−2000000−2i2i−2i2i22−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ23222-2-2-2-220022-2-200−2−2−2−222220000002i−2i2i−2i−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ24222-2-2-2-220022-2-200−2−2−2−22222000000−2i2i−2i2i−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ25222-2-2-2-2200-2-222002222−2−2−2−20000002i−2i−2i2i−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ26222-2-2-2-2200-2-222002222−2−2−2−2000000−2i2i2i−2i−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ27222-2-2-2-2200-2-22200−2−2−2−222220000002i−2i−2i2i22−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ28222-2-2-2-2200-2-22200−2−2−2−22222000000−2i2i2i−2i22−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-2-222-2-22-200002-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002-2002i−2i0000
χ3022-2-222-2-22-200002-22i2i−2i−2i2i2i−2i−2i000000000000000000000000-2200−2i2i0000
χ3122-2-222-2-22-200002-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-200−2i2i0000
χ3222-2-222-2-22-200002-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000-22002i−2i0000
χ332-22-22-22-2-2200002-22i−2i2i−2i2i−2i2i−2i00000000000000000000002-2002i−2i000000
χ342-22-22-22-2-2200002-22i−2i2i−2i2i−2i2i−2i0000000000000000000000-2200−2i2i000000
χ352-22-22-22-2-2200002-2−2i2i−2i2i−2i2i−2i2i00000000000000000000002-200−2i2i000000
χ362-22-22-22-2-2200002-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000-22002i−2i000000
χ372-2-222-2-22222-22-2-2-20000000000002-2000000002i−2i2i−2i2i−2i2i−2i000000000000
χ382-2-222-2-22222-22-2-2-20000000000002-200000000−2i2i−2i2i−2i2i−2i2i000000000000
χ392-2-222-2-2222-22-22-2-2000000000000-22000000002i−2i2i−2i−2i2i−2i2i000000000000
χ402-2-222-2-2222-22-22-2-2000000000000-2200000000−2i2i−2i2i2i−2i2i−2i000000000000
χ412-2-222-2-22-2-22-22-2222-2-222-2-220000-2200002-22-200000000000000000000
χ422-2-222-2-22-2-22-22-222-222-2-222-20000-220000-22-2200000000000000000000
χ432-2-222-2-22-2-2-22-22222-2-222-2-2200002-20000-22-2200000000000000000000
χ442-2-222-2-22-2-2-22-2222-222-2-222-200002-200002-22-200000000000000000000
χ452-2-2-2-2222002-2-22002−2−22−222−22-22-20000002−2−222−2−222−2−22000000000000
χ462-2-2-2-2222002-2-22002−2−22−222−2-22-220000002−2−22−222−2−222−2000000000000
χ472-2-2-2-2222002-2-2200−222−22−2−222-22-2000000−222−2−222−2−222−2000000000000
χ482-2-2-2-2222002-2-2200−222−22−2−22-22-22000000−222−22−2−222−2−22000000000000
χ492-2-2-2-222200-222-2002−2−22−222−22-2-22000000−222−22−2−22−222−2000000000000
χ502-2-2-2-222200-222-2002−2−22−222−2-222-2000000−222−2−222−22−2−22000000000000
χ512-2-2-2-222200-222-200−222−22−2−222-2-220000002−2−22−222−22−2−22000000000000
χ522-2-2-2-222200-222-200−222−22−2−22-222-20000002−2−222−2−22−222−2000000000000
χ5344-44-4-44-4000000002i22i2−2i2−2i2−2i2−2i22i22i20000000000000000000000000000000000
χ5444-44-4-44-400000000−2i2−2i22i22i22i22i2−2i2−2i20000000000000000000000000000000000
χ5544-4-444-4-4-440000-44000000000000000000000000000000000000000000
χ564-444-44-4-4000000002i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000
χ574-444-44-4-400000000−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000
χ584-44-44-44-44-40000-44000000000000000000000000000000000000000000

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