Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
468 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 141 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×#14556621 | C2 | semidirect |
| 2. C22×#11924016 | C2 | semidirect |
| 3. C2×#14556598 | C2 | semidirect |
| 4. #17988848 | C2 | direct (N × H) |
| 5. C2×#14556526 | C2 | semidirect |
| 6. C2×#14556509 | C2 | semidirect |
| 7. C2×#14556508 | C2 | semidirect |
| 11. #14556621 | C22 | semidirect |
| 17. C2×#11924016 | C22 | semidirect |
| 19. #14556598 | C22 | semidirect |
| 25. #14556526 | C22 | semidirect |
| 26. #14556509 | C22 | semidirect |
| 27. #14556508 | C22 | semidirect |
| 136. C2×C73 | #471 | semidirect |
| 139. C73 | C2×#471 | semidirect |
| 275. C2 | #17988848 | direct (N × H) |