Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of AGL(1,𝔽5) |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C4×C8 · Schur multiplier (H2) = C3×C4 |
| direct product | C32×C4×#170 |
| derived, Sylow | C5 ⋊ C32×C4×C8 |
| Hall | C32×C5 ⋊ C4×C8 |
264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
360 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 2569);