Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of D13⋊C3 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×Dic13⋊C3 |
| unambiguous semidirect product | (C2×C4×Dic13)⋊C3 |
| derived, Sylow | C13 ⋊ C2×C3×C42 |
| Hall | C2×C4×Dic13 ⋊ C3 |
| Hall | C13⋊C3 ⋊ C2×C42 |
216 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
128 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 399);