Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C42 · Schur multiplier (H2) = C23 |
| direct product | C3×#90994 |
| Hall | C32×C5 ⋊ #95 |
| Sylow | C32 ⋊ #3963 |
| Sylow | C5 ⋊ C3×C3⋊#95 |
358 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
252 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 1012);