Finite Group Databasebeta

← Group #26445

Character table — Group #26445

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size111111112222222244444444444444444488888888888888881616
order1222222244444444444444444488888888444444444444888844
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ311111111111111111111-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111
χ51111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111
χ71111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1
χ91111111111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11-111-1-11-1
χ101111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11-1-1-111-11
χ111111111111-1-1-1-1111111-1-111-1-11111-1-1-1-111-1-1-1-111-1-1-11-1-111-11
χ121111111111-1-1-1-1111111-1-111-1-1-1-1-1-11111-1-111-1-111-1-1-1111-1-11-1
χ131111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-111111-111-1-1-11
χ141111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111111-1-1-1111-1
χ151111111111-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-11-1-1111-1
χ161111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-111-1-111-1111-1-1-11
χ1722222222-2-22222-2-200002222-2-2000000000000000000-2-2000000
χ1822222222-2-22222-2-20000-2-2-2-2-2-200000000000000000022000000
χ1922222222-2-2-2-2-2-2-2-2000022-2-222000000000000000000-22000000
χ2022222222-2-2-2-2-2-2-2-20000-2-222220000000000000000002-2000000
χ21222-2-2-22-22222-2-2-2-2000000002-20000000000002-22-20000000000
χ22222-2-2-22-22222-2-2-2-2000000002-2000000000000-22-220000000000
χ23222-2-2-22-222-2-222-2-200000000-220000000000002-2-220000000000
χ24222-2-2-22-222-2-222-2-200000000-22000000000000-222-20000000000
χ25222-2-2-22-2-2-222-2-2222i2i−2i−2i0000-2200000000000000002i−2i00000000
χ26222-2-2-22-2-2-222-2-222−2i−2i2i2i0000-220000000000000000−2i2i00000000
χ27222-2-2-22-2-2-2-2-222222i2i−2i−2i00002-20000000000000000−2i2i00000000
χ28222-2-2-22-2-2-2-2-22222−2i−2i2i2i00002-200000000000000002i−2i00000000
χ2922-222-2-2-22-200002-22-22-200000022-2-200002-20000000000000000
χ3022-222-2-2-22-200002-22-22-2000000-2-2220000-220000000000000000
χ3122-222-2-2-22-200002-2-22-2200000022-2-20000-220000000000000000
χ3222-222-2-2-22-200002-2-22-22000000-2-22200002-20000000000000000
χ3322-2-2-22-22-2200002-22i−2i−2i2i00000000002i2i−2i−2i002-200000000000000
χ3422-2-2-22-22-2200002-22i−2i−2i2i0000000000−2i−2i2i2i00-2200000000000000
χ3522-2-2-22-22-2200002-2−2i2i2i−2i00000000002i2i−2i−2i00-2200000000000000
χ3622-2-2-22-22-2200002-2−2i2i2i−2i0000000000−2i−2i2i2i002-200000000000000
χ372-222-2-2-22002-22-20000002i−2i2i−2i00i2−i2i2−i2i2−i2i2−i20000000000002−22−200
χ382-222-2-2-22002-22-20000002i−2i2i−2i00−i2i2−i2i2−i2i2−i2i2000000000000−22−2200
χ392-222-2-2-22002-22-2000000−2i2i−2i2i00i2−i2i2−i2i2−i2i2−i2000000000000−22−2200
χ402-222-2-2-22002-22-2000000−2i2i−2i2i00−i2i2−i2i2−i2i2−i2i20000000000002−22−200
χ412-222-2-2-2200-22-220000002i−2i−2i2i00i2−i2i2−i2−i2i2−i2i20000000000002−2−2200
χ422-222-2-2-2200-22-220000002i−2i−2i2i00−i2i2−i2i2i2−i2i2−i2000000000000−222−200
χ432-222-2-2-2200-22-22000000−2i2i2i−2i00i2−i2i2−i2−i2i2−i2i2000000000000−222−200
χ442-222-2-2-2200-22-22000000−2i2i2i−2i00−i2i2−i2i2i2−i2i2−i20000000000002−2−2200
χ4544-444-4-4-4-440000-44000000000000000000000000000000000000
χ4644-4-4-44-444-40000-44000000000000000000000000000000000000
χ474-44-444-4-4004-4-4400000000000000000000000000000000000000
χ484-44-444-4-400-444-400000000000000000000000000000000000000
χ494-4-44-444-40000000000000000002i2−2i2−2i22i20000000000000000000000
χ504-4-44-444-4000000000000000000−2i22i22i2−2i20000000000000000000000
χ514-4-4-44-444000000000000000000000022−22−2222000000000000000000
χ524-4-4-44-4440000000000000000000000−222222−22000000000000000000

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