Finite Group Databasebeta

← Group #28909

Character table — Group #28909

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882244444444888888888888444444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ71111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ911111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1211111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-111-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-11-1-11
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-1-11
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-1-111-1
χ17222222222222-2-2-2-20000000022-2-2-2-222-2-2000000000000000000000000
χ18222222222222-2-2-2-200000000-2-2-2-222-2-222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-200000000222222-2-2-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-222-2-22222000000000000000000000000
χ2122-22-2-2-222i2i−2i−2i2-2-2200000000002i−2i00000000002i2i−2i−2i22-2-2000000000000
χ2222-22-2-2-222i2i−2i−2i2-2-2200000000002i−2i0000000000−2i−2i2i2i-2-222000000000000
χ2322-22-2-2-222i2i−2i−2i-222-22i2i2i2i−2i−2i−2i−2i00−2i2i00000022-2-200000000000000000000
χ2422-22-2-2-222i2i−2i−2i-222-2−2i−2i−2i−2i2i2i2i2i00−2i2i000000-2-22200000000000000000000
χ2522-22-2-2-22−2i−2i2i2i2-2-220000000000−2i2i00000000002i2i−2i−2i-2-222000000000000
χ2622-22-2-2-22−2i−2i2i2i2-2-220000000000−2i2i0000000000−2i−2i2i2i22-2-2000000000000
χ2722-22-2-2-22−2i−2i2i2i-222-22i2i2i2i−2i−2i−2i−2i002i−2i000000-2-22200000000000000000000
χ2822-22-2-2-22−2i−2i2i2i-222-2−2i−2i−2i−2i2i2i2i2i002i−2i00000022-2-200000000000000000000
χ292-222-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i22-200002-200i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ302-222-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i2-220000-2200i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ312-222-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i22-200002-200−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ322-222-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i2-220000-2200−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ332-222-2-22-2-22-220000i2i2−i2−i2i2i2−i2−i22-20000-2200−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2000000000000
χ342-222-2-22-2-22-220000i2i2−i2−i2i2i2−i2−i2-2200002-200−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000000
χ352-222-2-22-2-22-220000−i2−i2i2i2−i2−i2i2i22-20000-2200i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2000000000000
χ362-222-2-22-2-22-220000−i2−i2i2i2−i2−i2i2i2-2200002-200i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000000
χ372-22-22-2-22000022-2-22i−2i2i−2i2i−2i2i−2i00000000000000000000002i−2i2-200000000
χ382-22-22-2-22000022-2-22i−2i2i−2i2i−2i2i−2i0000000000000000000000−2i2i-2200000000
χ392-22-22-2-22000022-2-2−2i2i−2i2i−2i2i−2i2i00000000000000000000002i−2i-2200000000
χ402-22-22-2-22000022-2-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000−2i2i2-200000000
χ412-2-2222-2-22i−2i−2i2i000022−2−2−2−22200002-2002i−2i−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ422-2-2222-2-22i−2i−2i2i000022−2−2−2−2220000-2200−2i2i−i2i2i2−i2−222−2i2−i2−i2i2000000000000
χ432-2-2222-2-22i−2i−2i2i0000−2−22222−2−200002-2002i−2ii2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ442-2-2222-2-22i−2i−2i2i0000−2−22222−2−20000-2200−2i2ii2−i2−i2i22−2−22−i2i2i2−i2000000000000
χ452-2-2222-2-2−2i2i2i−2i000022−2−2−2−22200002-200−2i2ii2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ462-2-2222-2-2−2i2i2i−2i000022−2−2−2−2220000-22002i−2ii2−i2−i2i2−222−2−i2i2i2−i2000000000000
χ472-2-2222-2-2−2i2i2i−2i0000−2−22222−2−200002-200−2i2i−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ482-2-2222-2-2−2i2i2i−2i0000−2−22222−2−20000-22002i−2i−i2i2i2−i22−2−22i2−i2−i2i2000000000000
χ492-2-2-2-22220000-22-222-22-2-22-22000000000000000000000000002-22-20000
χ502-2-2-2-22220000-22-222-22-2-22-2200000000000000000000000000-22-220000
χ512-2-2-2-22220000-22-22-22-222-22-2000000000000000000000000002-2-220000
χ522-2-2-2-22220000-22-22-22-222-22-200000000000000000000000000-222-20000
χ53444-4-44-4-40000000022−22−222222−22−22220000000000000000000000000000000000
χ54444-4-44-4-400000000−222222−22−222222−220000000000000000000000000000000000
χ5544-4-44-44-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5644-4-44-44-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ574-44-44-4-440000-4-444000000000000000000000000000000000000000000
χ584-4-4-4-444400004-44-4000000000000000000000000000000000000000000

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