Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10597611 |
| Hall | C3×C13 ⋊ C2×C4⋊C4 |
| Sylow | C13 ⋊ C2×C4⋊Dic3 |
| Sylow | C3 ⋊ C2×#6101 |
184 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1248 |
180 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 789);