Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of ΓL(1,𝔽16) |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D5⋊(C3⋊C16) |
| unambiguous semidirect product | D5⋊(C2×C3⋊C16) |
| derived, Hall | C3×C5 ⋊ C22×C16 |
| Sylow | C5 ⋊ C22×C3⋊C16 |
| Sylow | C3 ⋊ C2×D5⋊C16 |
196 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6567);