Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of C22⋊(C13⋊C3) |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C8 · Schur multiplier (H2) = C2 |
| direct product | C8×C22⋊(C13⋊C3) |
| unambiguous semidirect product | (C22×C8)⋊(C13⋊C3) |
| unambiguous semidirect product | (C8×C13)⋊A4 |
| Fitting, Hall | C22×C8×C13 ⋊ C3 |
| derived | C22×C13 ⋊ C3×C8 |
| Sylow | C22×C8 ⋊ C13⋊C3 |
| Sylow | C13 ⋊ C8×A4 |
52 conjugacy classes of subgroups.
| minimal degree | μ(G) = 25 |
| transitive degree | μt(G) = 312 |
160 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 868);