Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | D13×D24 |
| Fitting | C3×C8×C13 ⋊ C22 |
| Hall | C3×C13 ⋊ C2×D8 |
| Sylow | C13 ⋊ C2×D24 |
| Sylow | C3 ⋊ D8×D13 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 501);