Finite Group Databasebeta

← Group #26566

Character table — Group #26566

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444442244444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1111-1-11-1-1-1-111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-11-1-11-1-1-1-1-1-111111111-1-1
χ511111111111111-1-1-1-1-1-1111111-1-1-11-1-111-1-111-1-111-1-1-11
χ611111111111111-1-1-1-1-1-11111-1-1-1-1-11-1-11111-1-111-1-1111-1
χ711111111111111-1-1-1-1-1-1-1-1-1-111-111111-1-1-1-1-1-111-1-111-11
χ811111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-111-1-11-1
χ9111111111111-1-111-1-111111111-1-1-1-111-1-11111-1-1-1-111-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111
χ11111111111111-1-111-1-111-1-1-1-111-111-1-1-11111-1-11111-1-1-1-1
χ12111111111111-1-111-1-111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-1-11111
χ13111111111111-1-1-1-111-1-1111111111-1-1-1-1-1-1-11111-1-1-1-11-1
χ14111111111111-1-1-1-111-1-11111-1-1111-1-1-1-1-111-1-1-1-11111-11
χ15111111111111-1-1-1-111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-111111-1
χ16111111111111-1-1-1-111-1-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-11
χ1722222222-2-2-2-2222222-2-2000000-200-20000000000000000
χ1822222222-2-2-2-222-2-2-2-222000000200-20000000000000000
χ1922222222-2-2-2-2-2-222-2-2-2-200000020020000000000000000
χ2022222222-2-2-2-2-2-2-2-22222000000-20020000000000000000
χ21222-2-2-22-2-22-22000000002i2i−2i−2i00000000002i−2i0000002-200
χ22222-2-2-22-2-22-22000000002i2i−2i−2i0000000000−2i2i000000-2200
χ23222-2-2-22-2-22-2200000000−2i−2i2i2i00000000002i−2i000000-2200
χ24222-2-2-22-2-22-2200000000−2i−2i2i2i0000000000−2i2i0000002-200
χ252-2-22-2-222-2-222000000002-22-22-200000000002-200000000
χ262-2-22-2-222-2-222000000002-22-2-220000000000-2200000000
χ272-2-22-2-222-2-22200000000-22-222-20000000000-2200000000
χ282-2-22-2-222-2-22200000000-22-22-2200000000002-200000000
χ292-2-2-2222-22-2-22002i−2i002i−2i2i−2i−2i2i0000002-200000000000000
χ302-2-2-2222-22-2-22002i−2i002i−2i−2i2i2i−2i000000-2200000000000000
χ312-2-2-2222-22-2-2200−2i2i00−2i2i2i−2i−2i2i000000-2200000000000000
χ322-2-2-2222-22-2-2200−2i2i00−2i2i−2i2i2i−2i0000002-200000000000000
χ332-2-2-2222-2-222-2002i−2i00−2i2i00000002-20002i−2i000000000000
χ342-2-2-2222-2-222-2002i−2i00−2i2i0000000-22000−2i2i000000000000
χ352-2-2-2222-2-222-200−2i2i002i−2i00000002-2000−2i2i000000000000
χ362-2-2-2222-2-222-200−2i2i002i−2i0000000-220002i−2i000000000000
χ37444-4-4-44-44-44-40000000000000000000000000000000000
χ3844-444-4-4-400000000000000000000000000000022−22000000
χ3944-444-4-4-4000000000000000000000000000000−2222000000
χ4044-4-4-44-4400004-400000000000000000000000000000000
χ4144-4-4-44-440000-4400000000000000000000000000000000
χ424-444-44-4-4000000004-40000000000000000000000000000
χ434-444-44-4-400000000-440000000000000000000000000000
χ444-44-44-4-440000000000000000000000000000000022−220000
χ454-44-44-4-4400000000000000000000000000000000−22220000
χ464-4-44-4-44444-4-40000000000000000000000000000000000

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