Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#17989580 |
| unambiguous semidirect product | D73⋊#419 |
| Fitting | C22×Q8×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#419 |
752 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 210 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
404 conjugacy classes — view the full character table.
| maximal subgroup of | #34008524, #34008525, #34008553, … |
| maximal normal subgroup of | #34008524, #34008525, #34008553, … |
| maximal quotient of | C2×#22625233, #34016360, C2×#22625234, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21128);