Finite Group Databasebeta

← Group #16680

Character table — Group #16680

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52
size1111111111111111444444444444888888888888888888888888
order1222222222222222444444444444222222444444444444444444
χ11111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ31111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ511111111111111111111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111
χ811111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111
χ91111111111111111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1-1-111
χ101111111111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-1-11111-1-111
χ111111111111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-111-1-111-1-111-1-1
χ121111111111111111-1-1-1-11111-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ141111111111111111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1111111
χ161111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111
χ1722222-2-222-2-2-2-2-22-22i2i−2i−2i00000000000000000000002i−2i2-2000000
χ1822222-2-222-2-2-2-2-22-22i2i−2i−2i0000000000000000000000−2i2i-22000000
χ1922222-2-222-2-2-2-2-22-2−2i−2i2i2i00000000000000000000002i−2i-22000000
χ2022222-2-222-2-2-2-2-22-2−2i−2i2i2i0000000000000000000000−2i2i2-2000000
χ21222-2-222-2-222-2-2-22-22i−2i2i−2i0000000000000000002-22i−2i0000000000
χ22222-2-222-2-222-2-2-22-22i−2i2i−2i000000000000000000-22−2i2i0000000000
χ23222-2-222-2-222-2-2-22-2−2i2i−2i2i0000000000000000002-2−2i2i0000000000
χ24222-2-222-2-222-2-2-22-2−2i2i−2i2i000000000000000000-222i−2i0000000000
χ25222-2-2-2-2-2-2-2-2222222-2-2222-2-222-2-2000000000000000000000000
χ26222-2-2-2-2-2-2-2-2222222-2-22-2-222-2-222000000000000000000000000
χ27222-2-2-2-2-2-2-2-222222-222-222-2-2-2-222000000000000000000000000
χ28222-2-2-2-2-2-2-2-222222-222-2-2-22222-2-2000000000000000000000000
χ2922-22-22-22-22-222-2-2-200002i−2i2i−2i00000000002-200000000002i−2i0000
χ3022-22-22-22-22-222-2-2-200002i−2i2i−2i0000000000-220000000000−2i2i0000
χ3122-22-22-22-22-222-2-2-20000−2i2i−2i2i00000000002-20000000000−2i2i0000
χ3222-22-22-22-22-222-2-2-20000−2i2i−2i2i0000000000-2200000000002i−2i0000
χ3322-2-22-22-22-2222-2-2-200002i−2i−2i2i000000002-2002i−2i00000000000000
χ3422-2-22-22-22-2222-2-2-200002i−2i−2i2i00000000-2200−2i2i00000000000000
χ3522-2-22-22-22-2222-2-2-20000−2i2i2i−2i000000002-200−2i2i00000000000000
χ3622-2-22-22-22-2222-2-2-20000−2i2i2i−2i00000000-22002i−2i00000000000000
χ372-2-22-22-2-22-222-2-222000000002-22-22-22-200000000000000000000
χ382-2-22-22-2-22-222-2-222000000002-22-2-22-2200000000000000000000
χ392-2-22-22-2-22-222-2-22200000000-22-222-2-2200000000000000000000
χ402-2-22-22-2-22-222-2-22200000000-22-22-222-200000000000000000000
χ412-2-2-22-222-22-22-2-222000000002-2-22000000000000000000002-22-2
χ422-2-2-22-222-22-22-2-222000000002-2-2200000000000000000000-22-22
χ432-2-2-22-222-22-22-2-22200000000-222-2000000000000000000002-2-22
χ442-2-2-22-222-22-22-2-22200000000-222-200000000000000000000-222-2
χ4544-44-4-444-4-44-4-44-44000000000000000000000000000000000000
χ4644-4-444-4-444-4-4-44-44000000000000000000000000000000000000
χ474-444444-4-4-4-44-44-4-4000000000000000000000000000000000000
χ484-4444-4-4-4-444-44-4-44000000000000000000000000000000000000
χ494-44-4-44444-4-4-44-4-44000000000000000000000000000000000000
χ504-44-4-4-4-444444-44-4-4000000000000000000000000000000000000
χ514-4-44-4-44-444-4-4444-4000000000000000000000000000000000000
χ524-4-4-444-44-4-44-4444-4000000000000000000000000000000000000

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