Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of C3⋊D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C5×C16 · Schur multiplier (H2) = C2×C3 |
| direct product | C5×C16×C3⋊D3 |
| Fitting | C32×C5×C16 ⋊ C2 |
| derived, Sylow | C32 ⋊ C2×C5×C16 |
| Hall | C32×C5 ⋊ C2×C16 |
168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 720 |
480 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 1356);