Finite Group DatabasebetaFinite Group Databasebeta| order | 19404 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C7 |
| direct product | C3×C3⋊(C11⋊#5997) |
| unambiguous semidirect product | C3⋊(C3×C11⋊#5997) |
| unambiguous semidirect product | C11⋊(C3×C3⋊#5997) |
| Fitting, socle, Hall | C32×C72×C11 ⋊ C4 |
| derived | C3×C72×C11 ⋊ C3×C4 |
| Hall | C72×C11 ⋊ C3×Dic3 |
| Hall | C32×C72 ⋊ Dic11 |
| Hall | C32×C11 ⋊ #5997 |
| Sylow | C72 ⋊ C3×Dic33 |
| Sylow | C11 ⋊ C3×C3⋊#5997 |
| Sylow | C32 ⋊ C11⋊#5997 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 462 |
1296 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(19404, 504);