Finite Group Databasebeta

← Group #33152

Character table — Group #33152

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444442244444444444444444444888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ121111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-2222222222222-2-2-2-200000000-2-2-2-200000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000
χ1922222222-2-2-2-2-2-22222-2-2-2-2-2-22200000000-2-22200000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-2220000000022-2-200000000000000000000
χ212222-2-2-2-22222-2-200000000-2-22-222-2-222-2-2000000000000000000000000
χ222222-2-2-2-22222-2-200000000-2-22-2-2-222-2-222000000000000000000000000
χ232222-2-2-2-222-2-22200000000-2-2-2222-2-2-2-222000000000000000000000000
χ242222-2-2-2-222-2-22200000000-2-2-22-2-22222-2-2000000000000000000000000
χ252222-2-2-2-2-2-222-2-20000000022-220000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ262222-2-2-2-2-2-222-2-20000000022-22000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ272222-2-2-2-2-2-2-2-22200000000222-20000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ282222-2-2-2-2-2-2-2-22200000000222-2000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ2922-2-222-2-2002i−2i2i−2i22-2-22i2i−2i−2i000000000000000000000000i2−i22−2i2−i22−20000
χ3022-2-222-2-2002i−2i2i−2i22-2-22i2i−2i−2i000000000000000000000000−i2i2−22−i2i2−220000
χ3122-2-222-2-2002i−2i2i−2i-2-222−2i−2i2i2i000000000000000000000000i2−i22−2−i2i2−220000
χ3222-2-222-2-2002i−2i2i−2i-2-222−2i−2i2i2i000000000000000000000000−i2i2−22i2−i22−20000
χ3322-2-222-2-200−2i2i−2i2i22-2-2−2i−2i2i2i000000000000000000000000i2−i2−22i2−i2−220000
χ3422-2-222-2-200−2i2i−2i2i22-2-2−2i−2i2i2i000000000000000000000000−i2i22−2−i2i22−20000
χ3522-2-222-2-200−2i2i−2i2i-2-2222i2i−2i−2i000000000000000000000000i2−i2−22−i2i22−20000
χ3622-2-222-2-200−2i2i−2i2i-2-2222i2i−2i−2i000000000000000000000000−i2i22−2i2−i2−220000
χ372-22-22-22-22-2000000002-22-22-20000002i−2i2i−2i002-22i−2i2i−2i0000000000000000
χ382-22-22-22-22-2000000002-22-22-2000000−2i2i−2i2i002-2−2i2i−2i2i0000000000000000
χ392-22-22-22-22-200000000-22-222-20000002i−2i2i−2i00-22−2i2i−2i2i0000000000000000
χ402-22-22-22-22-200000000-22-222-2000000−2i2i−2i2i00-222i−2i2i−2i0000000000000000
χ412-22-22-22-2-22000000002-22-2-22002i−2i2i−2i000000-2200002i−2i2i−2i000000000000
χ422-22-22-22-2-22000000002-22-2-2200−2i2i−2i2i000000-220000−2i2i−2i2i000000000000
χ432-22-22-22-2-2200000000-22-22-22002i−2i2i−2i0000002-20000−2i2i−2i2i000000000000
χ442-22-22-22-2-2200000000-22-22-2200−2i2i−2i2i0000002-200002i−2i2i−2i000000000000
χ452-22-2-22-222-200002i−2i2i−2i0000-220000002i−2i−2i2i2i−2i0000002-2-22000000000000
χ462-22-2-22-222-200002i−2i2i−2i0000-22000000−2i2i2i−2i2i−2i000000-222-2000000000000
χ472-22-2-22-222-20000−2i2i−2i2i0000-220000002i−2i−2i2i−2i2i000000-222-2000000000000
χ482-22-2-22-222-20000−2i2i−2i2i0000-22000000−2i2i2i−2i−2i2i0000002-2-22000000000000
χ492-22-2-22-22-2200002i−2i2i−2i00002-2002i−2i−2i2i0000−2i2i002-2-220000000000000000
χ502-22-2-22-22-2200002i−2i2i−2i00002-200−2i2i2i−2i0000−2i2i00-222-20000000000000000
χ512-22-2-22-22-220000−2i2i−2i2i00002-2002i−2i−2i2i00002i−2i00-222-20000000000000000
χ522-22-2-22-22-220000−2i2i−2i2i00002-200−2i2i2i−2i00002i−2i002-2-220000000000000000
χ5344-4-4-4-444004i−4i−4i4i00000000000000000000000000000000000000000000
χ5444-4-4-4-44400−4i4i4i−4i00000000000000000000000000000000000000000000
χ554-4-444-4-4400000000004i−4i−4i4i000000000000000000000000000000000000
χ564-4-444-4-440000000000−4i4i4i−4i000000000000000000000000000000000000
χ574-4-44-444-40000004i−4i−4i4i0000000000000000000000000000000000000000
χ584-4-44-444-4000000−4i4i4i−4i0000000000000000000000000000000000000000

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