Finite Group Databasebeta

← Group #28874

Character table — Group #28874

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888224444444444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11-11
χ71111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-11-11
χ81111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-11-11-1
χ911111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ1011111111-1-1-1-111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ1111111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1
χ1211111111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-111-1-1
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-111-1-111
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-111-1-1-1-111
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-111-1-11111-1-1
χ17222222222222-2-2-2-20000000022-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-2-2-222000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-2222222-2-2000000000000000000000000
χ2122-2-22-2-222i2i−2i−2i2-2-222i2i2i2i−2i−2i−2i−2i002i−2i000000000022-2-20000000000000000
χ2222-2-22-2-222i2i−2i−2i2-2-22−2i−2i−2i−2i2i2i2i2i002i−2i0000000000-2-2220000000000000000
χ2322-2-22-2-222i2i−2i−2i-222-20000000000−2i2i00000022-2-200002i2i−2i−2i000000000000
χ2422-2-22-2-222i2i−2i−2i-222-20000000000−2i2i000000-2-2220000−2i−2i2i2i000000000000
χ2522-2-22-2-22−2i−2i2i2i2-2-222i2i2i2i−2i−2i−2i−2i00−2i2i0000000000-2-2220000000000000000
χ2622-2-22-2-22−2i−2i2i2i2-2-22−2i−2i−2i−2i2i2i2i2i00−2i2i000000000022-2-20000000000000000
χ2722-2-22-2-22−2i−2i2i2i-222-200000000002i−2i00000022-2-20000−2i−2i2i2i000000000000
χ2822-2-22-2-22−2i−2i2i2i-222-200000000002i−2i000000-2-22200002i2i−2i−2i000000000000
χ292-22-222-2-22-22-2000022−2−222−2−22i−2i002i−2i0000i2−i2i2−i22−22−2i2−i2i2−i2000000000000
χ302-22-222-2-22-22-2000022−2−222−2−2−2i2i00−2i2i0000−i2i2−i2i22−22−2−i2i2−i2i2000000000000
χ312-22-222-2-22-22-20000−2−222−2−2222i−2i002i−2i0000−i2i2−i2i2−22−22−i2i2−i2i2000000000000
χ322-22-222-2-22-22-20000−2−222−2−222−2i2i00−2i2i0000i2−i2i2−i2−22−22i2−i2i2−i2000000000000
χ332-22-222-2-2-22-22000022−2−222−2−22i−2i00−2i2i0000i2−i2i2−i2−22−22−i2i2−i2i2000000000000
χ342-22-222-2-2-22-22000022−2−222−2−2−2i2i002i−2i0000−i2i2−i2i2−22−22i2−i2i2−i2000000000000
χ352-22-222-2-2-22-220000−2−222−2−2222i−2i00−2i2i0000−i2i2−i2i22−22−2i2−i2i2−i2000000000000
χ362-22-222-2-2-22-220000−2−222−2−222−2i2i002i−2i0000i2−i2i2−i22−22−2−i2i2−i2i2000000000000
χ372-22-2-2-222000022-2-22-22-22-22-2000000000000000000000000002i−2i2i−2i0000
χ382-22-2-2-222000022-2-22-22-22-22-200000000000000000000000000−2i2i−2i2i0000
χ392-22-2-2-222000022-2-2-22-22-22-22000000000000000000000000002i−2i−2i2i0000
χ402-22-2-2-222000022-2-2-22-22-22-2200000000000000000000000000−2i2i2i−2i0000
χ412-2-222-22-22i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i20000002-22i−2ii2−i2−i2i22−2−22−222−2000000000000
χ422-2-222-22-22i−2i−2i2i0000i2i2−i2−i2−i2−i2i2i2000000-22−2i2i−i2i2i2−i22−2−222−2−22000000000000
χ432-2-222-22-22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i20000002-22i−2i−i2i2i2−i2−222−22−2−22000000000000
χ442-2-222-22-22i−2i−2i2i0000−i2−i2i2i2i2i2−i2−i2000000-22−2i2ii2−i2−i2i2−222−2−222−2000000000000
χ452-2-222-22-2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i20000002-2−2i2ii2−i2−i2i2−222−22−2−22000000000000
χ462-2-222-22-2−2i2i2i−2i0000i2i2−i2−i2−i2−i2i2i2000000-222i−2i−i2i2i2−i2−222−2−222−2000000000000
χ472-2-222-22-2−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i20000002-2−2i2i−i2i2i2−i22−2−22−222−2000000000000
χ482-2-222-22-2−2i2i2i−2i0000−i2−i2i2i2i2i2−i2−i2000000-222i−2ii2−i2−i2i22−2−222−2−22000000000000
χ492-2-22-22-2200002-22-22i−2i2i−2i−2i2i−2i2i00000000000000000000002-22i−2i00000000
χ502-2-22-22-2200002-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000-22−2i2i00000000
χ512-2-22-22-2200002-22-2−2i2i−2i2i2i−2i2i−2i00000000000000000000002-2−2i2i00000000
χ522-2-22-22-2200002-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000-222i−2i00000000
χ534444-4-4-4-40000000022−22−222222−22−22220000000000000000000000000000000000
χ544444-4-4-4-400000000−222222−22−222222−220000000000000000000000000000000000
χ5544-4-4-444-4000000002i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000
χ5644-4-4-444-400000000−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000
χ574-44-4-4-4440000-4-444000000000000000000000000000000000000000000
χ584-4-44-44-440000-44-44000000000000000000000000000000000000000000

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