Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8×C9 · Schur multiplier (H2) = C4 |
| direct product | C8×C9×Dic5 |
| derived, Sylow | C5 ⋊ C4×C8×C9 |
| Hall | C5×C9 ⋊ C4×C8 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
576 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 91);