Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3 · Schur multiplier (H2) = C22 |
| direct product | C3×#91813 |
| Hall | C32×C5 ⋊ C22⋊Q8 |
| Sylow | C32 ⋊ #4070 |
| Sylow | C5 ⋊ C3×#924 |
350 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
378 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 4338);