Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
524 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 524 conjugacy classes of subgroups — too many to draw. Only its 127 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×D8×D73 | C2 | semidirect |
| 2. C2×#14556599 | C2 | semidirect |
| 3. #17989153 | C2 | semidirect |
| 4. #17988841 | C2 | semidirect |
| 5. #17988840 | C2 | semidirect |
| 6. #17988837 | C2 | semidirect |
| 7. #17988822 | C2 | semidirect |
| 8. #17988821 | C2 | semidirect |
| 9. #17988622 | C2 | semidirect |
| 10. #17988590 | C2 | semidirect |
| 11. #469×C73 | C2 | semidirect |
| 19. C2×#11924011 | C22 | semidirect |
| 20. C22×#10596831 | C22 | semidirect |
| 22. C2×C8×D73 | C22 | semidirect |
| 25. #14556566 | C22 | semidirect |
| 26. #14556565 | C22 | semidirect |
| 27. #14556562 | C22 | semidirect |
| 31. #14556524 | C22 | semidirect |
| 32. #14556523 | C22 | semidirect |
| 33. #14556513 | C22 | semidirect |
| 34. #14556512 | C22 | semidirect |
| 35. #14556511 | C22 | semidirect |
| 37. C2×M16×C73 | C22 | semidirect |
| 38. #121×C73 | C22 | semidirect |
| 39. #106×C73 | C22 | semidirect |
| 40. #102×C73 | C22 | semidirect |
| 65. C8×D73 | D4 | semidirect |
| 147. C73 | #3058 | semidirect |
| 154. #469 | D73 | semidirect |
| 168. C2×M16 | C2×D73 | semidirect |
| 177. #121 | C2×D73 | semidirect |
| 183. #106 | C2×D73 | semidirect |
| 187. #102 | C2×D73 | semidirect |