Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×Q16×D73 | C2 | semidirect |
| 3. #17989030 | C2 | semidirect |
| 4. #17989029 | C2 | semidirect |
| 5. #17989028 | C2 | semidirect |
| 6. #17989027 | C2 | semidirect |
| 7. #17989026 | C2 | semidirect |
| 8. Q32×D73 | C2 | semidirect |
| 9. SD32×D73 | C2 | semidirect |
| 10. M32×D73 | C2 | semidirect |
| 11. #510×C73 | C2 | semidirect |
| 19. C2×Dic292 | C22 | semidirect |
| 25. Q16×D73 | C22 | semidirect |
| 29. Dic584 | C22 | semidirect |
| 30. #14556537 | C22 | semidirect |
| 31. #14556537 | C22 | semidirect |
| 32. #14556536 | C22 | semidirect |
| 33. #14556535 | C22 | semidirect |
| 34. #14556534 | C22 | semidirect |
| 35. #14556531 | C22 | semidirect |
| 36. #14556530 | C22 | semidirect |
| 39. C2×Q16×C73 | C22 | semidirect |
| 40. Q32×C73 | C22 | semidirect |
| 41. SD32×C73 | C22 | semidirect |
| 42. M32×C73 | C22 | semidirect |
| 143. D73 | #510 | direct (N × H) |
| 145. C73 | C2×#510 | semidirect |
| 153. #510 | D73 | direct (N × H) |
| 172. C2×Q16 | C2×D73 | semidirect |
| 179. Q32 | C2×D73 | semidirect |
| 183. SD32 | C2×D73 | semidirect |
| 186. M32 | C2×D73 | semidirect |