Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
146 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 53 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #17988704 | C2 | semidirect |
| 3. #17988703 | C2 | semidirect |
| 4. #17988416 | C2 | semidirect |
| 5. #17988395 | C2 | semidirect |
| 6. C16×Dic73 | C2 | semidirect |
| 7. #359×C73 | C2 | semidirect |
| 11. #14556537 | C4 | semidirect |
| 12. #14556535 | C4 | semidirect |
| 13. #14556534 | C4 | semidirect |
| 14. #14556532 | C4 | semidirect |
| 72. C73 | #2178 | semidirect |
| 78. #359 | D73 | semidirect |