Finite Group Databasebeta

← Group #29331

Character table — Group #29331

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444442244448888888888888888444444442244
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
χ5111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11-11
χ8111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-11-1
χ911111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-1-11
χ1011111111-1-1-1-1111111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-111-1
χ1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-111-1
χ1211111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-1-11
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1
χ172222222222222222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000000000000000
χ18222222222222-2-2-2-22222-2-2-2-2-2-2-2-2220000000000000000000000000000
χ1922222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-22222-2-2-2-22222-2-20000000000000000000000000000
χ21222-2-22-2-222-2-20000000022-2-22-20000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ22222-2-22-2-222-2-20000000022-2-22-2000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-2-22-2-222-2-200000000-2-222-2200002i2i−2i−2i2i2i−2i−2i00000000000000000000
χ24222-2-22-2-222-2-200000000-2-222-220000−2i−2i2i2i−2i−2i2i2i00000000000000000000
χ25222-2-22-2-2-2-2220000000022-2-2-220000000000002i2i−2i−2i−2i−2i2i2i000000000000
χ26222-2-22-2-2-2-2220000000022-2-2-22000000000000−2i−2i2i2i2i2i−2i−2i000000000000
χ27222-2-22-2-2-2-22200000000-2-2222-200002i2i−2i−2i−2i−2i2i2i00000000000000000000
χ28222-2-22-2-2-2-22200000000-2-2222-20000−2i−2i2i2i2i2i−2i−2i00000000000000000000
χ2922-22-2-22-22i−2i2i−2i00002i2i−2i−2i000000002-2i2−i2i2−i22−22−22−22−2i2−i2i2−i2000000000000
χ3022-22-2-22-22i−2i2i−2i00002i2i−2i−2i000000002-2−i2i2−i2i2−22−22−22−22−i2i2−i2i2000000000000
χ3122-22-2-22-22i−2i2i−2i0000−2i−2i2i2i00000000-22i2−i2i2−i22−22−2−22−22−i2i2−i2i2000000000000
χ3222-22-2-22-22i−2i2i−2i0000−2i−2i2i2i00000000-22−i2i2−i2i2−22−222−22−2i2−i2i2−i2000000000000
χ3322-22-2-22-2−2i2i−2i2i00002i2i−2i−2i00000000-22i2−i2i2−i2−22−222−22−2−i2i2−i2i2000000000000
χ3422-22-2-22-2−2i2i−2i2i00002i2i−2i−2i00000000-22−i2i2−i2i22−22−2−22−22i2−i2i2−i2000000000000
χ3522-22-2-22-2−2i2i−2i2i0000−2i−2i2i2i000000002-2i2−i2i2−i2−22−22−22−22i2−i2i2−i2000000000000
χ3622-22-2-22-2−2i2i−2i2i0000−2i−2i2i2i000000002-2−i2i2−i2i22−22−22−22−2−i2i2−i2i2000000000000
χ3722-2-22-2-222i−2i−2i2i2i2i−2i−2i00000000002-2002−2−22−i2i2i2−i2i2−i2−i2i2−222−2000000000000
χ3822-2-22-2-222i−2i−2i2i2i2i−2i−2i00000000002-200−222−2i2−i2−i2i2−i2i2i2−i22−2−22000000000000
χ3922-2-22-2-222i−2i−2i2i−2i−2i2i2i0000000000-22002−2−22−i2i2i2−i2−i2i2i2−i22−2−22000000000000
χ4022-2-22-2-222i−2i−2i2i−2i−2i2i2i0000000000-2200−222−2i2−i2−i2i2i2−i2−i2i2−222−2000000000000
χ4122-2-22-2-22−2i2i2i−2i2i2i−2i−2i0000000000-22002−2−22i2−i2−i2i2i2−i2−i2i22−2−22000000000000
χ4222-2-22-2-22−2i2i2i−2i2i2i−2i−2i0000000000-2200−222−2−i2i2i2−i2−i2i2i2−i2−222−2000000000000
χ4322-2-22-2-22−2i2i2i−2i−2i−2i2i2i00000000002-2002−2−22i2−i2−i2i2−i2i2i2−i2−222−2000000000000
χ4422-2-22-2-22−2i2i2i−2i−2i−2i2i2i00000000002-200−222−2−i2i2i2−i2i2−i2−i2i22−2−22000000000000
χ452-2222-2-2-200002i−2i2i−2i2i−2i2i−2i2-22-200000000000000000000002-2002i−2i000000
χ462-2222-2-2-200002i−2i2i−2i2i−2i2i−2i2-22-20000000000000000000000-2200−2i2i000000
χ472-2222-2-2-200002i−2i2i−2i−2i2i−2i2i-22-220000000000000000000000002-2002i−2i0000
χ482-2222-2-2-200002i−2i2i−2i−2i2i−2i2i-22-22000000000000000000000000-2200−2i2i0000
χ492-2222-2-2-20000−2i2i−2i2i2i−2i2i−2i-22-220000000000000000000000002-200−2i2i0000
χ502-2222-2-2-20000−2i2i−2i2i2i−2i2i−2i-22-22000000000000000000000000-22002i−2i0000
χ512-2222-2-2-20000−2i2i−2i2i−2i2i−2i2i2-22-200000000000000000000002-200−2i2i000000
χ522-2222-2-2-20000−2i2i−2i2i−2i2i−2i2i2-22-20000000000000000000000-22002i−2i000000
χ534-44-4-4-4440000000000004-4-440000000000000000000000000000000000
χ544-44-4-4-444000000000000-444-40000000000000000000000000000000000
χ554-4-44-44-44000000004-4-4400000000000000000000000000000000000000
χ564-4-44-44-4400000000-444-400000000000000000000000000000000000000
χ574-4-4-4444-400004-4-44000000000000000000000000000000000000000000
χ584-4-4-4444-40000-444-4000000000000000000000000000000000000000000

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