Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of Dic78 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×D156 |
| Fitting | C22×C3×C4×C13 ⋊ C2 |
| Hall | C3×C13 ⋊ C22×D4 |
| Sylow | C13 ⋊ C22×D12 |
| Sylow | C3 ⋊ C22×D52 |
472 conjugacy classes of subgroups.
| transitive degree | μt(G) = 624 |
324 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1414);