Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
760 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 760 conjugacy classes of subgroups — too many to draw. Only its 165 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. C22×#11924018 | C2 | semidirect |
| 3. C22×#11924017 | C2 | semidirect |
| 4. C2×#14556571 | C2 | semidirect |
| 5. #17988752 | C2 | direct (N × H) |
| 6. C2×#14556511 | C2 | semidirect |
| 7. C2×#14556503 | C2 | semidirect |
| 8. C2×#103×C73 | C2 | semidirect |
| 19. C2×#11924018 | C22 | semidirect |
| 21. C2×#11924017 | C22 | semidirect |
| 24. #14556571 | C22 | semidirect |
| 27. #14556511 | C22 | semidirect |
| 28. #14556503 | C22 | semidirect |
| 32. #103×C73 | C22 | semidirect |
| 129. C2×C73 | #452 | semidirect |
| 136. C73 | C2×#452 | semidirect |
| 142. C2×#103 | D73 | semidirect |
| 166. #103 | C2×D73 | semidirect |
| 267. C2 | #17988752 | direct (N × H) |