Finite Group DatabasebetaFinite Group Databasebeta| order | 38532 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C132 · Schur multiplier (H2) = C13 |
| direct product | C4×C132×C19⋊C3 |
| unambiguous semidirect product | (C4×C19)⋊(C3×C132) |
| Fitting, Hall | C4×C132×C19 ⋊ C3 |
| derived, Sylow | C19 ⋊ C3×C4×C132 |
| Hall | C132×C19 ⋊ C3×C4 |
| Hall | C4×C19 ⋊ C3×C132 |
192 conjugacy classes of subgroups.
| transitive degree | μt(G) = 12844 |
6084 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(38532, 141);