Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| isoclinism | isoclinic class of D3×D13 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×D3×D13 |
| Fitting | C2×C3×C4×C13 ⋊ C22 |
| derived, Hall | C3×C13 ⋊ C23×C4 |
| Sylow | C13 ⋊ C22×C4×D3 |
| Sylow | C3 ⋊ C22×C4×D13 |
472 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 180 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 312 |
192 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1318);