Finite Group DatabasebetaFinite Group Databasebeta| order | 15996 |
| isoclinism | isoclinic class of C43⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4×C31 · Schur multiplier (H2) = C1 |
| direct product | C4×C31×C43⋊C3 |
| unambiguous semidirect product | (C4×C43)⋊(C3×C31) |
| Fitting, Hall | C4×C31×C43 ⋊ C3 |
| derived, Sylow | C43 ⋊ C3×C4×C31 |
| Hall | C31×C43 ⋊ C3×C4 |
| Hall | C4×C43 ⋊ C3×C31 |
24 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5332 |
2108 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15996, 2);