Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
496 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 496 conjugacy classes of subgroups — too many to draw. Only its 135 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 |
|---|---|---|
| 1. C2×#14556622 | C2 | semidirect |
| 2. C2×M16×D73 | C2 | semidirect |
| 4. C2×#14556567 | C2 | semidirect |
| 5. #17988844 | C2 | semidirect |
| 6. #17988836 | C2 | semidirect |
| 7. #17988827 | C2 | semidirect |
| 8. #17988819 | C2 | semidirect |
| 9. #17988630 | C2 | semidirect |
| 10. #17988589 | C2 | semidirect |
| 11. #419×C73 | C2 | semidirect |
| 15. C2×#11924018 | C22 | semidirect |
| 16. C2×#11924015 | C22 | semidirect |
| 36. #14556524 | C22 | semidirect |
| 37. #14556522 | C22 | semidirect |
| 38. #14556516 | C22 | semidirect |
| 39. #14556513 | C22 | semidirect |
| 43. #103×C73 | C22 | semidirect |
| 44. #103×C73 | C22 | semidirect |
| 64. #11924012 | D4 | semidirect |
| 145. C2×D73 | #137 | semidirect |
| 164. C73 | #3056 | semidirect |
| 174. #419 | D73 | semidirect |
| 206. #103 | C2×D73 | semidirect |
| 207. #103 | C2×D73 | semidirect |