Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4 |
| direct product | C2×#17989579 |
| unambiguous semidirect product | D73⋊#418 |
| Fitting | C22×D4×C73 ⋊ C4 |
| Sylow | C73 ⋊ C2×#418 |
1008 conjugacy classes of subgroups; only the 210 normal subgroups are shown.
This group has 1008 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 | #34008522, #34008523, #34008550, … |
| maximal normal subgroup of | #34008522, #34008523, #34008550, … |
| maximal quotient of | C2×#22625230, #34016356, C2×#22625231, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 21127);