Finite Group DatabasebetaFinite Group Databasebeta| order | 18564 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C7×C13 · Schur multiplier (H2) = C1 |
| direct product | C3×C7×C13×Dic17 |
| derived, Sylow | C17 ⋊ C3×C4×C7×C13 |
| Hall | C3×C7×C13×C17 ⋊ C4 |
| Hall | C7×C13×C17 ⋊ C3×C4 |
| Hall | C3×C13×C17 ⋊ C4×C7 |
| Hall | C3×C7×C17 ⋊ C4×C13 |
| Hall | C13×C17 ⋊ C3×C4×C7 |
| Hall | C7×C17 ⋊ C3×C4×C13 |
| Hall | C3×C17 ⋊ C4×C7×C13 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18564 |
5460 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18564, 6);