Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#14556650 |
| Fitting | C23×C4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22×#99 |
1112 conjugacy classes of subgroups; only the 218 normal subgroups are shown.
This group has 1112 conjugacy classes of subgroups — too many to draw. Only its 218 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
620 conjugacy classes — view the full character table.
| maximal subgroup of | #34008479, #34008481, #34008503, … |
| maximal normal subgroup of | #34008479, #34008481, #34008503, … |
| maximal quotient of | C22×#17989431, C22×#17989432, C2×#22625168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21104);