Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of C3⋊#261 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×D13⋊(C3⋊C8) |
| unambiguous semidirect product | D13⋊(C2×C3⋊C8) |
| derived, Hall | C3×C13 ⋊ C22×C8 |
| Sylow | C13 ⋊ C22×C3⋊C8 |
| Sylow | C3 ⋊ C2×D13⋊C8 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
120 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1292);