Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3 · Schur multiplier (H2) = C2 |
| direct product | Q8×C22⋊(C13⋊C3) |
| Fitting, Hall | C22×Q8×C13 ⋊ C3 |
| Sylow | C22×Q8 ⋊ C13⋊C3 |
| Sylow | C13 ⋊ Q8×A4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 312 |
100 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1373);