Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of #261 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C3×D13⋊C8 |
| derived, Sylow | C13 ⋊ C22×C3×C8 |
| Hall | C3×C13 ⋊ C22×C8 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
168 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1279);