Finite Group Databasebeta

← Group #28329

Character table — Group #28329

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222222224444888888884444444444888888888888222244442244
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ4111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111-11-1
χ911111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-11111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-111-1
χ1211111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-1-11
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-111-1-1
χ17222222222222-2-2-2-20000000022-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-200000000-2-222-2-222-2-2000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-20000000022-2-2-2-22222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-22222-2-222000000000000000000000000
χ2122-2-2-2-22222-2-22-2-222222-2-2-2-2000000002-20000000022-2-2000000000000
χ2222-2-2-2-22222-2-22-2-22-2-2-2-22222000000002-200000000-2-222000000000000
χ2322-2-2-2-22222-2-2-222-20000000000000000-2222-2-222-2-20000000000000000
χ2422-2-2-2-22222-2-2-222-20000000000000000-22-2-222-2-2220000000000000000
χ2522-2-2-2-222-2-2222-2-222222-2-2-2-200000000-2200000000-2-222000000000000
χ2622-2-2-2-222-2-2222-2-22-2-2-2-2222200000000-220000000022-2-2000000000000
χ2722-2-2-2-222-2-222-222-200000000000000002-222-2-2-2-2220000000000000000
χ2822-2-2-2-222-2-222-222-200000000000000002-2-2-22222-2-20000000000000000
χ292-222-2-22-2000022-2-22i2i−2i−2i2i2i−2i−2i00000000000000000000002-2002i−2i000000
χ302-222-2-22-2000022-2-22i2i−2i−2i2i2i−2i−2i0000000000000000000000-2200−2i2i000000
χ312-222-2-22-2000022-2-2−2i−2i2i2i−2i−2i2i2i00000000000000000000002-200−2i2i000000
χ322-222-2-22-2000022-2-2−2i−2i2i2i−2i−2i2i2i0000000000000000000000-22002i−2i000000
χ332-22-22-2-222-22-200002−22−22−22−2002-2002-2002−22−22−22−22−22−2000000000000
χ342-22-22-2-222-22-200002−22−22−22−200-2200-2200−22−22−22−222−22−2000000000000
χ352-22-22-2-222-22-20000−22−22−22−22002-2002-200−22−22−22−22−22−22000000000000
χ362-22-22-2-222-22-20000−22−22−22−2200-2200-22002−22−22−22−2−22−22000000000000
χ372-22-22-2-22-22-2200002−22−22−22−2002-200-22002−22−2−22−22−22−22000000000000
χ382-22-22-2-22-22-2200002−22−22−22−200-22002-200−22−222−22−2−22−22000000000000
χ392-22-22-2-22-22-220000−22−22−22−22002-200-2200−22−222−22−22−22−2000000000000
χ402-22-22-2-22-22-220000−22−22−22−2200-22002-2002−22−2−22−222−22−2000000000000
χ412-2-22-22-222-2-2200002−22−2−22−222-2002-200002−2−222−2−222−2−22000000000000
χ422-2-22-22-222-2-2200002−22−2−22−22-2200-220000−222−2−222−22−2−22000000000000
χ432-2-22-22-222-2-220000−22−222−22−22-2002-20000−222−2−222−2−222−2000000000000
χ442-2-22-22-222-2-220000−22−222−22−2-2200-2200002−2−222−2−22−222−2000000000000
χ452-2-22-22-22-222-200002−22−2−22−222-200-2200002−2−22−222−2−222−2000000000000
χ462-2-22-22-22-222-200002−22−2−22−22-22002-20000−222−22−2−22−222−2000000000000
χ472-2-22-22-22-222-20000−22−222−22−22-200-220000−222−22−2−222−2−22000000000000
χ482-2-22-22-22-222-20000−22−222−22−2-22002-200002−2−22−222−22−2−22000000000000
χ492-2-2-2222-200002-22-22i2i−2i−2i−2i−2i2i2i0000000000000000000000002-2002i−2i0000
χ502-2-2-2222-200002-22-22i2i−2i−2i−2i−2i2i2i000000000000000000000000-2200−2i2i0000
χ512-2-2-2222-200002-22-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000002-200−2i2i0000
χ522-2-2-2222-200002-22-2−2i−2i2i2i2i2i−2i−2i000000000000000000000000-22002i−2i0000
χ53444-4-44-4-4000000002i2−2i2−2i22i22i2−2i2−2i22i20000000000000000000000000000000000
χ54444-4-44-4-400000000−2i22i22i2−2i2−2i22i22i2−2i20000000000000000000000000000000000
χ5544-444-4-4-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5644-444-4-4-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ574-444-4-44-40000-4-444000000000000000000000000000000000000000000
χ584-4-4-4444-40000-44-44000000000000000000000000000000000000000000

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