Finite Group DatabasebetaFinite Group Databasebeta| order | 18876 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C121 · Schur multiplier (H2) = C1 |
| direct product | C3×Dic13×C121 |
| derived, Sylow | C13 ⋊ C3×C4×C121 |
| Hall | C3×C13×C121 ⋊ C4 |
| Hall | C13×C121 ⋊ C3×C4 |
| Hall | C3×C13 ⋊ C4×C121 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18876 |
5808 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18876, 6);