Finite Group DatabasebetaFinite Group Databasebeta| order | 1188 |
| isoclinism | isoclinic class of D3 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9×C11 · Schur multiplier (H2) = C1 |
| direct product | C9×C11×Dic3 |
| unambiguous semidirect product | C3⋊(C4×C9×C11) |
| derived | C3 ⋊ C4×C9×C11 |
| Hall | C3×C9×C11 ⋊ C4 |
| Sylow | C3×C9 ⋊ C4×C11 |
44 conjugacy classes of subgroups.
| minimal degree | μ(G) = 27 |
| transitive degree | μt(G) = 396 |
594 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1188, 15);