Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of (C13⋊C3)⋊Q8 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C22×(C13⋊C3)⋊Q8 |
| Hall | C22×Dic26 ⋊ C3 |
| Hall | C13⋊C3 ⋊ C22×Q8 |
| Sylow | C13 ⋊ C22×C3×Q8 |
312 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
92 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1242);