Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q16×D39 |
| Fitting | C3×C13×Q16 ⋊ C2 |
| Hall | C3×C13 ⋊ C2×Q16 |
| Sylow | C13 ⋊ D3×Q16 |
| Sylow | C3 ⋊ Q16×D13 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
147 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1091);