Finite Group DatabasebetaFinite Group Databasebeta| order | 19620 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C109 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic15×C109 |
| unambiguous semidirect product | C3⋊(C3×Dic5×C109) |
| derived | C3×C5 ⋊ C3×C4×C109 |
| Hall | C32×C5×C109 ⋊ C4 |
| Hall | C32×C109 ⋊ Dic5 |
| Hall | C5×C109 ⋊ C3×Dic3 |
| Hall | C32×C5 ⋊ C4×C109 |
| Sylow | C32 ⋊ Dic5×C109 |
| Sylow | C5 ⋊ C3×Dic3×C109 |
56 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6540 |
5886 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19620, 71);