Finite Group Databasebeta

← Group #25413

Character table — Group #25413

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888882244444444888888888888222244444444
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
χ911111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1
χ1011111111-1-1-1-111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ1111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ1211111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ1311111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111-1-11
χ1411111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-111-1
χ1511111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-111-1
χ1611111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11111-1-11-1-11
χ17222222222222-2-2-2-20000000022-2-222-2-2-2-2000000000000000000000000
χ18222222222222-2-2-2-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2-2-2-2-2-2-2000000002222-2-222-2-2000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-200000000-2-22222-2-222000000000000000000000000
χ21222-2-2-2-222i2i−2i−2i2-2-222222-2-2-2-2002i−2i0000002i2i−2i−2i00000000000000000000
χ22222-2-2-2-222i2i−2i−2i2-2-22-2-2-2-22222002i−2i000000−2i−2i2i2i00000000000000000000
χ23222-2-2-2-222i2i−2i−2i-222-20000000000−2i2i000000000022-2-22i2i−2i−2i000000000000
χ24222-2-2-2-222i2i−2i−2i-222-20000000000−2i2i0000000000-2-222−2i−2i2i2i000000000000
χ25222-2-2-2-22−2i−2i2i2i2-2-222222-2-2-2-200−2i2i000000−2i−2i2i2i00000000000000000000
χ26222-2-2-2-22−2i−2i2i2i2-2-22-2-2-2-2222200−2i2i0000002i2i−2i−2i00000000000000000000
χ27222-2-2-2-22−2i−2i2i2i-222-200000000002i−2i000000000022-2-2−2i−2i2i2i000000000000
χ28222-2-2-2-22−2i−2i2i2i-222-200000000002i−2i0000000000-2-2222i2i−2i−2i000000000000
χ2922-22-22-2-22-22-2000022−2−222−2−20000002i−2i2i−2i2−22−2i2−i2i2−i2i2−i2i2−i2000000000000
χ3022-22-22-2-22-22-2000022−2−222−2−2000000−2i2i−2i2i2−22−2−i2i2−i2i2−i2i2−i2i2000000000000
χ3122-22-22-2-22-22-20000−2−222−2−2220000002i−2i2i−2i−22−22−i2i2−i2i2−i2i2−i2i2000000000000
χ3222-22-22-2-22-22-20000−2−222−2−222000000−2i2i−2i2i−22−22i2−i2i2−i2i2−i2i2−i2000000000000
χ3322-22-22-2-2-22-22000022−2−222−2−20000002i−2i−2i2i−22−22i2−i2i2−i2−i2i2−i2i2000000000000
χ3422-22-22-2-2-22-22000022−2−222−2−2000000−2i2i2i−2i−22−22−i2i2−i2i2i2−i2i2−i2000000000000
χ3522-22-22-2-2-22-220000−2−222−2−2220000002i−2i−2i2i2−22−2−i2i2−i2i2i2−i2i2−i2000000000000
χ3622-22-22-2-2-22-220000−2−222−2−222000000−2i2i2i−2i2−22−2i2−i2i2−i2−i2i2−i2i2000000000000
χ3722-2-22-22-22i−2i−2i2i000022−2−2−2−2222-2002i−2i0000i2−i2−i2i2i2−i2−i2i2−222−2000000000000
χ3822-2-22-22-22i−2i−2i2i000022−2−2−2−222-2200−2i2i0000i2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ3922-2-22-22-22i−2i−2i2i0000−2−22222−2−22-2002i−2i0000−i2i2i2−i2−i2i2i2−i22−2−22000000000000
χ4022-2-22-22-22i−2i−2i2i0000−2−22222−2−2-2200−2i2i0000−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ4122-2-22-22-2−2i2i2i−2i000022−2−2−2−2222-200−2i2i0000−i2i2i2−i2−i2i2i2−i2−222−2000000000000
χ4222-2-22-22-2−2i2i2i−2i000022−2−2−2−222-22002i−2i0000−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ4322-2-22-22-2−2i2i2i−2i0000−2−22222−2−22-200−2i2i0000i2−i2−i2i2i2−i2−i2i22−2−22000000000000
χ4422-2-22-22-2−2i2i2i−2i0000−2−22222−2−2-22002i−2i0000i2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ452-2-22-2-2220000-22-222-22-22-22-200000000000000000000002-22-200000000
χ462-2-22-2-2220000-22-222-22-22-22-20000000000000000000000-22-2200000000
χ472-2-22-2-2220000-22-22-22-22-22-2200000000000000000000002-2-2200000000
χ482-2-22-2-2220000-22-22-22-22-22-220000000000000000000000-222-200000000
χ492-2-2-222-220000-2-2222-22-2-22-22000000000000000000000000002-22-20000
χ502-2-2-222-220000-2-2222-22-2-22-2200000000000000000000000000-22-220000
χ512-2-2-222-220000-2-222-22-222-22-2000000000000000000000000002-2-220000
χ522-2-2-222-220000-2-222-22-222-22-200000000000000000000000000-222-20000
χ534-4444-4-4-40000000022−22−222222−22−22220000000000000000000000000000000000
χ544-4444-4-4-400000000−222222−22−222222−220000000000000000000000000000000000
χ554-44-4-444-40000000022−22−2222−222222−220000000000000000000000000000000000
χ564-44-4-444-400000000−222222−2222−22−22220000000000000000000000000000000000
χ574-4-44-4-44400004-44-4000000000000000000000000000000000000000000
χ584-4-4-444-44000044-4-4000000000000000000000000000000000000000000

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