Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#17989534 |
| unambiguous semidirect product | D73⋊#385 |
| Fitting | C2×C22⋊C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#385 |
1232 conjugacy classes of subgroups; only the 274 normal subgroups are shown.
This group has 1232 conjugacy classes of subgroups — too many to draw. Only its 274 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
416 conjugacy classes — view the full character table.
| maximal subgroup of | #34008934, #34008949, #34009256, … |
| maximal normal subgroup of | #34008934, #34008949, #34009256, … |
| maximal quotient of | C2×#22625104, C2×#22625111, C4×#17989534, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 20960);