Finite Group Databasebeta

← Group #16735

Character table — Group #16735

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222444444444444224444444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ511111111111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1
χ91111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111-1-111-1-111-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1111111-1-111-1-1
χ111111111111111111-1-1-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111-1-111
χ131111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-111-1-11111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-1-1-11111
χ151111111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-11111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-111-1-1-1-1
χ172222-222-2-2-2-2-2-222-2000000002i2i−2i−2i000000000000000000002-22i−2i
χ182222-222-2-2-2-2-2-222-2000000002i2i−2i−2i00000000000000000000-22−2i2i
χ192222-222-2-2-2-2-2-222-200000000−2i−2i2i2i000000000000000000002-2−2i2i
χ202222-222-2-2-2-2-2-222-200000000−2i−2i2i2i00000000000000000000-222i−2i
χ21222-22-2-222-2-2-2-22-22000000002-22-20000000000002i−2i00002i−2i0000
χ22222-22-2-222-2-2-2-22-22000000002-22-2000000000000−2i2i0000−2i2i0000
χ23222-22-2-222-2-2-2-22-2200000000-22-220000000000002i−2i0000−2i2i0000
χ24222-22-2-222-2-2-2-22-2200000000-22-22000000000000−2i2i00002i−2i0000
χ25222-2-2-2-2-2-222222-2-22i2i−2i−2i22-2-22i−2i−2i2i000000000000000000000000
χ26222-2-2-2-2-2-222222-2-22i2i−2i−2i-2-222−2i2i2i−2i000000000000000000000000
χ27222-2-2-2-2-2-222222-2-2−2i−2i2i2i22-2-2−2i2i2i−2i000000000000000000000000
χ28222-2-2-2-2-2-222222-2-2−2i−2i2i2i-2-2222i−2i−2i2i000000000000000000000000
χ2922-22-22-22-222-2-2-2-2200002i−2i2i−2i0000002i−2i2-2000000000000000000
χ3022-22-22-22-222-2-2-2-2200002i−2i2i−2i000000−2i2i-22000000000000000000
χ3122-22-22-22-222-2-2-2-220000−2i2i−2i2i0000002i−2i-22000000000000000000
χ3222-22-22-22-222-2-2-2-220000−2i2i−2i2i000000−2i2i2-2000000000000000000
χ3322-2-22-22-2222-2-2-22-200002i−2i−2i2i00002-20000000000002i−2i00000000
χ3422-2-22-22-2222-2-2-22-200002i−2i−2i2i0000-22000000000000−2i2i00000000
χ3522-2-22-22-2222-2-2-22-20000−2i2i2i−2i00002-2000000000000−2i2i00000000
χ3622-2-22-22-2222-2-2-22-20000−2i2i2i−2i0000-220000000000002i−2i00000000
χ372-222-2-22-222-22-2-2-222-22-2000000000000002i−2i2i−2i00000000000000
χ382-222-2-22-222-22-2-2-222-22-200000000000000−2i2i−2i2i00000000000000
χ392-222-2-22-222-22-2-2-22-22-22000000000000002i−2i−2i2i00000000000000
χ402-222-2-22-222-22-2-2-22-22-2200000000000000−2i2i2i−2i00000000000000
χ412-22-222-22-22-22-2-22-22i−2i−2i2i0000000000000000002i−2i00002-2000000
χ422-22-222-22-22-22-2-22-22i−2i−2i2i000000000000000000−2i2i0000-22000000
χ432-22-222-22-22-22-2-22-2−2i2i2i−2i0000000000000000002i−2i0000-22000000
χ442-22-222-22-22-22-2-22-2−2i2i2i−2i000000000000000000−2i2i00002-2000000
χ4544-4444-4-44-4-444-4-4-4000000000000000000000000000000000000
χ4644-4-4-4-444-4-4-444-444000000000000000000000000000000000000
χ474-4444-444-4-44-44-4-4-4000000000000000000000000000000000000
χ484-44-4-44-4-44-44-44-444000000000000000000000000000000000000
χ494-4-444-4-4-4-44-4-44444000000000000000000000000000000000000
χ504-4-44-4-4-444-444-444-4000000000000000000000000000000000000
χ514-4-4-4444-4-4-444-44-44000000000000000000000000000000000000
χ524-4-4-4-444444-4-444-4-4000000000000000000000000000000000000

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