Finite Group DatabasebetaFinite Group Databasebeta| order | 23556 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C151 · Schur multiplier (H2) = C1 |
| direct product | C151×Dic13⋊C3 |
| unambiguous semidirect product | Dic13⋊(C3×C151) |
| derived, Sylow | C13 ⋊ C3×C4×C151 |
| Hall | Dic13×C151 ⋊ C3 |
| Hall | C13⋊C3×C151 ⋊ C4 |
| Hall | C13×C151 ⋊ C3×C4 |
| Hall | Dic13 ⋊ C3×C151 |
| Hall | C13⋊C3 ⋊ C4×C151 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7852 |
2416 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23556, 18);