Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×AGL(1,𝔽5)×D12 |
| unambiguous semidirect product | D5⋊(C4×D12) |
| Fitting | C2×C3×C4×C5 ⋊ C2×C4 |
| Hall | C3×C5 ⋊ C2×C4×D4 |
| Sylow | C5 ⋊ C2×C4×D12 |
| Sylow | C3 ⋊ C2×D4×AGL(1,𝔽5) |
852 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 852 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 120 |
90 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11025);