Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | Q8×C3⋊#261 |
| Fitting | C3×Q8×C13 ⋊ C4 |
| Hall | C3×C13 ⋊ C4×Q8 |
| Sylow | C13 ⋊ Q8×Dic3 |
| Sylow | C3 ⋊ Q8×#261 |
140 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
75 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1301);