Finite Group Databasebeta

← Group #26915

Character table — Group #26915

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244444444444444442244444444448888888844
χ11111111111111111111111111111111111111111111111
χ21111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111-1-1-1-111111111-1-1-1-1-111-11111-1-111-1-1-1-1
χ611111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ711111111111111-1-1-1-111-1-1-1-1-1-1-1111111-111-1-111-1-111-1-1
χ811111111111111-1-1-1-111-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-111
χ9111111111111-1-111-1-1-1-11111-1-1-1-1-111111-1-11111-1-1-1-11-1
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-111-1-1111-1-1-1-11111-11
χ11111111111111-1-111-1-1-1-1-1-1-1-111-111-1-1111-1-1-1-1-1-111111-1
χ12111111111111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-11111111-1-1-1-1-11
χ13111111111111-1-1-1-111-1-11111-1-1111-1-111-1-1-111-1-1-1-111-11
χ14111111111111-1-1-1-111-1-11111-1-1111-1-1-1-1-111-1-11111-1-11-1
χ15111111111111-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-1-1-11111-1-1-11
χ16111111111111-1-1-1-111-1-1-1-1-1-1111-1-111-1-1-11111-1-1-1-1111-1
χ1722222222-2-2-2-22222-2-2-2-20000002000000-2000000000000
χ1822222222-2-2-2-222-2-222-2-2000000-20000002000000000000
χ1922222222-2-2-2-2-2-2222222000000-2000000-2000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22200000020000002000000000000
χ2122-22-2-22-2-22-22000000002i2i−2i−2i00000002-20002i−2i00000000
χ2222-22-2-22-2-22-22000000002i2i−2i−2i0000000-22000−2i2i00000000
χ2322-22-2-22-2-22-2200000000−2i−2i2i2i00000002-2000−2i2i00000000
χ2422-22-2-22-2-22-2200000000−2i−2i2i2i0000000-220002i−2i00000000
χ252-22-2-222-22-2-222i−2i00002i−2i2i−2i2i−2i2-200000000000000000000
χ262-22-2-222-22-2-222i−2i00002i−2i−2i2i−2i2i-2200000000000000000000
χ272-22-2-222-22-2-22−2i2i0000−2i2i2i−2i2i−2i-2200000000000000000000
χ282-22-2-222-22-2-22−2i2i0000−2i2i−2i2i−2i2i2-200000000000000000000
χ292-22-2-222-2-222-22i−2i0000−2i2i00000002i−2i2-2000000000000000
χ302-22-2-222-2-222-22i−2i0000−2i2i0000000−2i2i-22000000000000000
χ312-22-2-222-2-222-2−2i2i00002i−2i00000002i−2i-22000000000000000
χ322-22-2-222-2-222-2−2i2i00002i−2i0000000−2i2i2-2000000000000000
χ332-2-2-22-222-2-222000000002-2-2200000000002-200002-20000
χ342-2-2-22-222-2-222000000002-2-220000000000-220000-220000
χ352-2-2-22-222-2-22200000000-222-200000000002-20000-220000
χ362-2-2-22-222-2-22200000000-222-20000000000-2200002-20000
χ37444-4-4-4-44000000004i−4i0000000000000000000000000000
χ38444-4-4-4-4400000000−4i4i0000000000000000000000000000
χ3944-44-4-44-44-44-40000000000000000000000000000000000
χ4044-4-444-4-4000000000000000000000000000000000022−2200
χ4144-4-444-4-40000000000000000000000000000000000−222200
χ424-4444-4-4-40000004-4000000000000000000000000000000
χ434-4444-4-4-4000000-44000000000000000000000000000000
χ444-4-44-44-4400000000000000000000000000000022−22000000
χ454-4-44-44-44000000000000000000000000000000−2222000000
χ464-4-4-44-44444-4-40000000000000000000000000000000000

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