Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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×#14556610 | C2 | semidirect |
| 2. C2×D8×D73 | C2 | semidirect |
| 3. #17989021 | C2 | direct (N × H) |
| 4. C2×#14556536 | C2 | semidirect |
| 5. C2×#14556535 | C2 | semidirect |
| 6. C2×#14556532 | C2 | semidirect |
| 7. C2×#14556530 | C2 | semidirect |
| 8. C2×D16×C73 | C2 | semidirect |
| 12. #14556610 | C22 | semidirect |
| 13. C2×Dic292 | C22 | semidirect |
| 18. D8×D73 | C22 | semidirect |
| 20. #14556536 | C22 | semidirect |
| 21. #14556535 | C22 | semidirect |
| 22. #14556532 | C22 | semidirect |
| 23. #14556530 | C22 | semidirect |
| 24. C2×#11924003 | C22 | semidirect |
| 26. C2×D8×C73 | C22 | semidirect |
| 27. D16×C73 | C22 | semidirect |
| 28. C2×C16×C73 | C22 | semidirect |
| 41. Dic292 | C23 | semidirect |
| 49. #11924003 | C23 | semidirect |
| 55. D8×C73 | C23 | semidirect |
| 57. C16×C73 | C23 | semidirect |
| 99. C2×C73 | #509 | semidirect |
| 104. C73 | C2×#509 | semidirect |
| 111. C2×D16 | D73 | semidirect |
| 124. C2×D8 | C2×D73 | semidirect |
| 129. D16 | C2×D73 | semidirect |
| 132. C2×C16 | C2×D73 | semidirect |
| 155. D8 | C22×D73 | semidirect |
| 161. C16 | C22×D73 | semidirect |
| 205. C2 | #17989021 | direct (N × H) |