Finite Group Databasebeta

← Group #28832

Character table — Group #28832

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888444444444444
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
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
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ9111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ10111111111-1-1-1-111111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ11111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ12111111111-1-1-1-111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ13111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ14111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ15111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ16111111111-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-22222-2-2-200000000-2-222-2-2-2-222000000000000000000000000
χ1822222222-22222-2-2-200000000-2-2-2-22222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-20000000022-2-2-2-22222000000000000000000000000
χ212222-2-2-2-2222-2-2-2-22000000002-200000000000022-2-222-2-2000000000000
χ222222-2-2-2-2222-2-2-2-22000000002-2000000000000-2-222-2-222000000000000
χ232222-2-2-2-22-2-222-2-2200000000-2200000000000022-2-2-2-222000000000000
χ242222-2-2-2-22-2-222-2-2200000000-22000000000000-2-22222-2-2000000000000
χ252222-2-2-2-2-222-2-222-22222-2-2-2-2-220000000022-2-200000000000000000000
χ262222-2-2-2-2-222-2-222-2-2-2-2-22222-2200000000-2-22200000000000000000000
χ272222-2-2-2-2-2-2-22222-22222-2-2-2-22-200000000-2-22200000000000000000000
χ282222-2-2-2-2-2-2-22222-2-2-2-2-222222-20000000022-2-200000000000000000000
χ2922-2-22-22-2-200002-2222-2-222-2-2000000000000000000000000002i−2i2i−2i0000
χ3022-2-22-22-2-200002-2222-2-222-2-200000000000000000000000000−2i2i−2i2i0000
χ3122-2-22-22-2-200002-22-2-222-2-222000000000000000000000000002i−2i−2i2i0000
χ3222-2-22-22-2-200002-22-2-222-2-22200000000000000000000000000−2i2i2i−2i0000
χ3322-2-2-22-22200002-2-222-2-2-2-22200000000000000000000002i−2i2i−2i00000000
χ3422-2-2-22-22200002-2-222-2-2-2-2220000000000000000000000−2i2i−2i2i00000000
χ3522-2-2-22-22200002-2-2-2-22222-2-200000000000000000000002i−2i−2i2i00000000
χ3622-2-2-22-22200002-2-2-2-22222-2-20000000000000000000000−2i2i2i−2i00000000
χ372-22-22-2-2202i−2i2i−2i0002−22−22−22−2002-200002i−2ii2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ382-22-22-2-2202i−2i2i−2i0002−22−22−22−200-220000−2i2ii2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ392-22-22-2-2202i−2i2i−2i000−22−22−22−22002-200002i−2i−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ402-22-22-2-2202i−2i2i−2i000−22−22−22−2200-220000−2i2i−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ412-22-22-2-220−2i2i−2i2i0002−22−22−22−2002-20000−2i2i−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ422-22-22-2-220−2i2i−2i2i0002−22−22−22−200-2200002i−2i−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ432-22-22-2-220−2i2i−2i2i000−22−22−22−22002-20000−2i2ii2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ442-22-22-2-220−2i2i−2i2i000−22−22−22−2200-2200002i−2ii2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ452-22-2-222-202i−2i−2i2i0002−22−2−22−2200002i−2i2-200i2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ462-22-2-222-202i−2i−2i2i0002−22−2−22−220000−2i2i-2200i2−i2−i2i2−222−2−i2i2i2−i2000000000000
χ472-22-2-222-202i−2i−2i2i000−22−222−22−200002i−2i2-200−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ482-22-2-222-202i−2i−2i2i000−22−222−22−20000−2i2i-2200−i2i2i2−i22−2−22i2−i2−i2i2000000000000
χ492-22-2-222-20−2i2i2i−2i0002−22−2−22−2200002i−2i-2200−i2i2i2−i2−222−2i2−i2−i2i2000000000000
χ502-22-2-222-20−2i2i2i−2i0002−22−2−22−220000−2i2i2-200−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ512-22-2-222-20−2i2i2i−2i000−22−222−22−200002i−2i-2200i2−i2−i2i22−2−22−i2i2i2−i2000000000000
χ522-22-2-222-20−2i2i2i−2i000−22−222−22−20000−2i2i2-200i2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ5344-4-44-44-440000-44-4000000000000000000000000000000000000000000
χ5444-4-4-44-44-40000-444000000000000000000000000000000000000000000
χ554-4-4444-4-40000000022−22−222222−22−22220000000000000000000000000000000000
χ564-4-4444-4-400000000−222222−22−222222−220000000000000000000000000000000000
χ574-4-44-4-4440000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-44-4-44400000000−222222−2222−22−22220000000000000000000000000000000000

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