Finite Group DatabasebetaFinite Group Databasebeta| order | 18876 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C13 · Schur multiplier (H2) = C11 |
| direct product | C13×(C11⋊Dic11)⋊C3 |
| unambiguous semidirect product | (C11⋊Dic11)⋊(C3×C13) |
| derived, Sylow | C112 ⋊ C3×C4×C13 |
| Hall | C13×C11⋊Dic11 ⋊ C3 |
| Hall | C13×C112⋊C3 ⋊ C4 |
| Hall | C112×C13 ⋊ C3×C4 |
| Hall | C11⋊Dic11 ⋊ C3×C13 |
| Hall | C112⋊C3 ⋊ C4×C13 |
48 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1716 |
676 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18876, 49);