Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
476 conjugacy classes of subgroups; only the 200 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 200 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. #17989598 | C2 | semidirect |
| 3. #17989597 | C2 | semidirect |
| 4. C2×#14556659 | C2 | semidirect |
| 15. #14556599 | C4 | semidirect |
| 16. #14556598 | C4 | semidirect |
| 17. #14556597 | C4 | semidirect |
| 20. #131×C73 | C4 | semidirect |
| 33. #11924012 | C2×C4 | semidirect |
| 34. #11924011 | C2×C4 | semidirect |
| 35. C2×#10596831 | C2×C4 | semidirect |
| 36. C8×D73 | C2×C4 | semidirect |
| 37. C8×D73 | C2×C4 | semidirect |
| 41. M16×C73 | C2×C4 | semidirect |
| 42. C2×C8×C73 | C2×C4 | semidirect |
| 77. C73 | #2912 | semidirect |
| 87. #131 | #64408 | semidirect |
| 108. M16 | C2×#64408 | semidirect |
| 114. C2×C8 | C2×#64408 | semidirect |