Finite Group DatabasebetaFinite Group Databasebeta| order | 1440 |
| isoclinism | isoclinic class of Dic36 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C5 · Schur multiplier (H2) = C22 |
| direct product | C2×C5×Dic36 |
| Hall | C5×C9 ⋊ C2×Q16 |
| Sylow | C9 ⋊ C2×C5×Q16 |
180 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1440 |
390 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1440, 778);