Finite Group Databasebeta

← Group #26767

Character table — Group #26767

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888224444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111
χ51111111111111111-1-111-1-1111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1
χ61111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ71111111111111111-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1
χ911111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1111-1
χ1011111111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-11-111-1-1-1-11111-1-1-11
χ1111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-11111-1-111-11
χ1211111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-111-1-11-1
χ1311111111-1-1-1-11111-1-1-1-11111111111-1-1-1-111-11-1-111-1-1-1-111-1-1-11
χ1411111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-11-1-1-1-1-1-111-1-1111-1
χ1511111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111-1-1111111-1-11-1
χ1611111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-11111111-1-1-1-111-11
χ17222222222222-2-2-2-222-2-22200000000000000-2-200000000000000
χ18222222222222-2-2-2-2-2-2-2-2-2-2000000000000002200000000000000
χ1922222222-2-2-2-2-2-2-2-22222-2-200000000000000-2200000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222000000000000002-200000000000000
χ21222-2-2-2-222i2i−2i−2i00002i−2i002-2000022−2−2i2i2−i2−i20000000000002−2i2−i200
χ22222-2-2-2-222i2i−2i−2i00002i−2i002-20000−2−222−i2−i2i2i2000000000000−22−i2i200
χ23222-2-2-2-222i2i−2i−2i0000−2i2i00-22000022−2−2i2i2−i2−i2000000000000−22−i2i200
χ24222-2-2-2-222i2i−2i−2i0000−2i2i00-220000−2−222−i2−i2i2i20000000000002−2i2−i200
χ25222-2-2-2-22−2i−2i2i2i00002i−2i00-22000022−2−2−i2−i2i2i2000000000000−22i2−i200
χ26222-2-2-2-22−2i−2i2i2i00002i−2i00-220000−2−222i2i2−i2−i20000000000002−2−i2i200
χ27222-2-2-2-22−2i−2i2i2i0000−2i2i002-2000022−2−2−i2−i2i2i20000000000002−2−i2i200
χ28222-2-2-2-22−2i−2i2i2i0000−2i2i002-20000−2−222i2i2−i2−i2000000000000−22i2−i200
χ2922-2-2-222-22i−2i2i−2i2-2-22002i−2i000000000000002-2002i−2i000000000000
χ3022-2-2-222-22i−2i2i−2i2-2-22002i−2i00000000000000-2200−2i2i000000000000
χ3122-2-2-222-22i−2i2i−2i-222-200−2i2i002i2i−2i−2i00000000000000002-200000000
χ3222-2-2-222-22i−2i2i−2i-222-200−2i2i00−2i−2i2i2i0000000000000000-2200000000
χ3322-2-2-222-2−2i2i−2i2i2-2-2200−2i2i000000000000002-200−2i2i000000000000
χ3422-2-2-222-2−2i2i−2i2i2-2-2200−2i2i00000000000000-22002i−2i000000000000
χ3522-2-2-222-2−2i2i−2i2i-222-2002i−2i002i2i−2i−2i0000000000000000-2200000000
χ3622-2-2-222-2−2i2i−2i2i-222-2002i−2i00−2i−2i2i2i00000000000000002-200000000
χ372-222-22-2-20000-22-220000002i−2i2i−2i2i−2i2i−2i00000000002-20000000000
χ382-222-22-2-20000-22-220000002i−2i2i−2i−2i2i−2i2i0000000000-220000000000
χ392-222-22-2-20000-22-22000000−2i2i−2i2i2i−2i2i−2i0000000000-220000000000
χ402-222-22-2-20000-22-22000000−2i2i−2i2i−2i2i−2i2i00000000002-20000000000
χ412-2-2-222-22000022-2-20000002-2-2200002i−2i2i−2i00000000002i−2i000000
χ422-2-2-222-22000022-2-20000002-2-220000−2i2i−2i2i0000000000−2i2i000000
χ432-2-2-222-22000022-2-2000000-222-200002i−2i2i−2i0000000000−2i2i000000
χ442-2-2-222-22000022-2-2000000-222-20000−2i2i−2i2i00000000002i−2i000000
χ4544-444-4-4-44-4-440000000000000000000000000000000000000000
χ4644-444-4-4-4-444-40000000000000000000000000000000000000000
χ474-444-44-4-400004-44-4000000000000000000000000000000000000
χ484-44-44-44-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ494-44-44-44-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ504-4-44-4-444000000000000000000000022−22−2222000000000000000000
χ514-4-44-4-4440000000000000000000000−222222−22000000000000000000
χ524-4-4-444-440000-4-444000000000000000000000000000000000000

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