Finite Group Databasebeta

← Group #26432

Character table — Group #26432

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46
size111111112222444444444444888888888888888888881616
order1222222244442244444444444444444444448888888844
χ11111111111111111111111111111111111111111111111
χ2111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111-1-1-1-1-1-1111-1-1111-1-1-1-1-1-1-1-1-1-111
χ411111111111111111111-1-1-1-1-1-11-1-1-1-1-1-11-1-111111111-1-1
χ511111111111111-1-111-1-11111-1-1-111-1-111-111-1-11111-1-1-1-1
χ611111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ711111111111111-1-111-1-1-1-1-1-111-1111111-1-1-111-1-1-1-111-1-1
χ811111111111111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-11111-1-111
χ9111111111111-1-111-1-1-1-11111-1-1-11111-1-11-1-11111-1-1-1-1-11
χ10111111111111-1-111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-111111-1
χ11111111111111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1111-1-1-1-11111-11
χ12111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111111-1-1-1-11-1
χ13111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1111-1
χ14111111111111-1-1-1-1-1-1111111111-1-1-1-111-1-1-111-1-111-1-1-11
χ15111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-11111-1-111-1-11-1
χ16111111111111-1-1-1-1-1-111-1-1-1-1-1-11-1-11111-111-1-111-1-111-11
χ1722222222-2-2-2-22222-2-222000000-2000000-2000000000000
χ1822222222-2-2-2-222-2-2-2-2-2-200000020000002000000000000
χ1922222222-2-2-2-2-2-22222-2-20000002000000-2000000000000
χ2022222222-2-2-2-2-2-2-2-22222000000-20000002000000000000
χ2122-22-22-2-222-2-22-2002-20000002-20002-2000000000000000
χ2222-22-22-2-222-2-22-2002-2000000-22000-22000000000000000
χ2322-22-22-2-222-2-2-2200-220000002-2000-22000000000000000
χ2422-22-22-2-222-2-2-2200-22000000-220002-2000000000000000
χ2522-22-22-2-2-2-2222-200-22002i2i−2i−2i00000000002i−2i0000000000
χ2622-22-22-2-2-2-2222-200-2200−2i−2i2i2i0000000000−2i2i0000000000
χ2722-22-22-2-2-2-222-22002-2002i2i−2i−2i0000000000−2i2i0000000000
χ2822-22-22-2-2-2-222-22002-200−2i−2i2i2i00000000002i−2i0000000000
χ292-22-2-22-222-22-2000000002-22-200000002i−2i00000002i−2i0000
χ302-22-2-22-222-22-2000000002-22-20000000−2i2i0000000−2i2i0000
χ312-22-2-22-222-22-200000000-22-2200000002i−2i0000000−2i2i0000
χ322-22-2-22-222-22-200000000-22-220000000−2i2i00000002i−2i0000
χ332-2-2-2222-2-222-2000000002i−2i−2i2i0002-20000000002i−2i000000
χ342-2-2-2222-2-222-2000000002i−2i−2i2i000-22000000000−2i2i000000
χ352-2-2-2222-2-222-200000000−2i2i2i−2i0002-2000000000−2i2i000000
χ362-2-2-2222-2-222-200000000−2i2i2i−2i000-220000000002i−2i000000
χ37444-4-4-44-40000004-4000000000000000000000000000000
χ38444-4-4-44-4000000-44000000000000000000000000000000
χ3944-4-44-4-4400000000004i−4i00000000000000000000000000
χ4044-4-44-4-440000000000−4i4i00000000000000000000000000
χ414-4444-4-4-4000000000000000000000000000000000022−2200
χ424-4444-4-4-40000000000000000000000000000000000−222200
χ434-44-4-44-44-44-440000000000000000000000000000000000
χ444-4-44-4-444000000000000000000000000000022−2200000000
χ454-4-44-4-4440000000000000000000000000000−222200000000
χ464-4-4-4444-44-4-440000000000000000000000000000000000

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