Finite Group Databasebeta

← Group #29556

Character table — Group #29556

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888224444442444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11
χ61111111111111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-111-1
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-11
χ911111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ1011111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111
χ1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ1211111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11-11-1
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11-11
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-11-11
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1111-11-1
χ17222222222222-2-2-2-22222-2-2-2-2-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-222222222-2-2-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-20000000000000000000000000000
χ21222-2-2-2-2222-2-200002i2i−2i−2i0000002i−2i0022−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ22222-2-2-2-2222-2-200002i2i−2i−2i0000002i−2i00−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ23222-2-2-2-2222-2-20000−2i−2i2i2i000000−2i2i0022−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ24222-2-2-2-2222-2-20000−2i−2i2i2i000000−2i2i00−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ25222-2-2-2-22-2-22200002i2i−2i−2i000000−2i2i0022−2−2−2−222i2i2−i2−i2−i2−i2i2i2000000000000
χ26222-2-2-2-22-2-22200002i2i−2i−2i000000−2i2i00−2−22222−2−2−i2−i2i2i2i2i2−i2−i2000000000000
χ27222-2-2-2-22-2-2220000−2i−2i2i2i0000002i−2i0022−2−2−2−222−i2−i2i2i2i2i2−i2−i2000000000000
χ28222-2-2-2-22-2-2220000−2i−2i2i2i0000002i−2i00−2−22222−2−2i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-222-2-2-2000000002i−2i2i−2i22-2-22i−2i000000002i−2i2i−2i00002-22-2000000000000
χ3022-222-2-2-2000000002i−2i2i−2i22-2-22i−2i00000000−2i2i−2i2i0000-22-22000000000000
χ3122-222-2-2-2000000002i−2i2i−2i-2-222−2i2i00002-22-200002i−2i2i−2i0000000000000000
χ3222-222-2-2-2000000002i−2i2i−2i-2-222−2i2i0000-22-220000−2i2i−2i2i0000000000000000
χ3322-222-2-2-200000000−2i2i−2i2i22-2-2−2i2i000000002i−2i2i−2i0000-22-22000000000000
χ3422-222-2-2-200000000−2i2i−2i2i22-2-2−2i2i00000000−2i2i−2i2i00002-22-2000000000000
χ3522-222-2-2-200000000−2i2i−2i2i-2-2222i−2i00002-22-20000−2i2i−2i2i0000000000000000
χ3622-222-2-2-200000000−2i2i−2i2i-2-2222i−2i0000-22-2200002i−2i2i−2i0000000000000000
χ3722-2-2-222-200002i2i−2i−2i2-2-22000000002i−2i2−2−22i2−i2−i2i22−2−22−i2i2i2−i2000000000000
χ3822-2-2-222-200002i2i−2i−2i2-2-22000000002i−2i−222−2−i2i2i2−i2−222−2i2−i2−i2i2000000000000
χ3922-2-2-222-200002i2i−2i−2i-222-200000000−2i2i2−2−22i2−i2−i2i2−222−2i2−i2−i2i2000000000000
χ4022-2-2-222-200002i2i−2i−2i-222-200000000−2i2i−222−2−i2i2i2−i22−2−22−i2i2i2−i2000000000000
χ4122-2-2-222-20000−2i−2i2i2i2-2-2200000000−2i2i2−2−22−i2i2i2−i22−2−22i2−i2−i2i2000000000000
χ4222-2-2-222-20000−2i−2i2i2i2-2-2200000000−2i2i−222−2i2−i2−i2i2−222−2−i2i2i2−i2000000000000
χ4322-2-2-222-20000−2i−2i2i2i-222-2000000002i−2i2−2−22−i2i2i2−i2−222−2−i2i2i2−i2000000000000
χ4422-2-2-222-20000−2i−2i2i2i-222-2000000002i−2i−222−2i2−i2−i2i22−2−22i2−i2−i2i2000000000000
χ452-222-22-2-22i−2i2i−2i2i−2i2i−2i00002-22-200000000000000000000002-200002i−2i0000
χ462-222-22-2-22i−2i2i−2i2i−2i2i−2i00002-22-20000000000000000000000-220000−2i2i0000
χ472-222-22-2-22i−2i2i−2i−2i2i−2i2i0000-22-220000000000000000000000002-22i−2i000000
χ482-222-22-2-22i−2i2i−2i−2i2i−2i2i0000-22-22000000000000000000000000-22−2i2i000000
χ492-222-22-2-2−2i2i−2i2i2i−2i2i−2i0000-22-220000000000000000000000002-2−2i2i000000
χ502-222-22-2-2−2i2i−2i2i2i−2i2i−2i0000-22-22000000000000000000000000-222i−2i000000
χ512-222-22-2-2−2i2i−2i2i−2i2i−2i2i00002-22-200000000000000000000002-20000−2i2i0000
χ522-222-22-2-2−2i2i−2i2i−2i2i−2i2i00002-22-20000000000000000000000-2200002i−2i0000
χ534-44-44-44-44i−4i−4i4i0000000000000000000000000000000000000000000000
χ544-44-44-44-4−4i4i4i−4i0000000000000000000000000000000000000000000000
χ554-4-44-4-4440000000000004-4-440000000000000000000000000000000000
χ564-4-44-4-444000000000000-444-40000000000000000000000000000000000
χ574-4-4-444-4400004-4-44000000000000000000000000000000000000000000
χ584-4-4-444-440000-444-4000000000000000000000000000000000000000000

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