Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 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×#14556622 | C2 | semidirect |
| 3. C2×#14556589 | C2 | semidirect |
| 4. #17988768 | C2 | direct (N × H) |
| 5. C2×#14556518 | C2 | semidirect |
| 6. C2×#14556517 | C2 | semidirect |
| 7. C2×#14556509 | C2 | semidirect |
| 8. C2×#137×C73 | C2 | semidirect |
| 21. #14556622 | C22 | semidirect |
| 26. #14556589 | C22 | semidirect |
| 29. #14556518 | C22 | semidirect |
| 30. #14556517 | C22 | semidirect |
| 31. #14556509 | C22 | semidirect |
| 35. #137×C73 | C22 | semidirect |
| 167. C2×C73 | #456 | semidirect |
| 171. C73 | C2×#456 | semidirect |
| 174. C2×#137 | D73 | semidirect |
| 196. #137 | C2×D73 | semidirect |
| 339. C2 | #17988768 | direct (N × H) |