Finite Group DatabasebetaFinite Group Databasebeta| order | 18060 |
| isoclinism | isoclinic class of D5 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7×C43 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×Dic5×C43 |
| derived, Sylow | C5 ⋊ C3×C4×C7×C43 |
| Hall | C3×C5×C7×C43 ⋊ C4 |
| Hall | C5×C7×C43 ⋊ C3×C4 |
| Hall | C3×C5×C43 ⋊ C4×C7 |
| Hall | C5×C43 ⋊ C3×C4×C7 |
| Hall | C3×C5×C7 ⋊ C4×C43 |
| Hall | C5×C7 ⋊ C3×C4×C43 |
| Hall | C3×C5 ⋊ C4×C7×C43 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18060 |
7224 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18060, 11);