Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
286 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
| 4. #17989531 | C2 | semidirect |
| 5. #17989466 | C2 | semidirect |
| 6. #17989458 | C2 | semidirect |
| 25. #14556519 | C4 | semidirect |
| 26. #14556518 | C4 | semidirect |
| 27. #14556517 | C4 | semidirect |
| 28. #104×C73 | C4 | semidirect |
| 57. #11924012 | C2×C4 | semidirect |
| 61. C4×Dic73 | C2×C4 | semidirect |
| 63. M16×C73 | C2×C4 | semidirect |
| 64. C42×C73 | C2×C4 | semidirect |
| 131. C73 | #1860 | semidirect |
| 156. #104 | #64408 | semidirect |
| 179. M16 | C2×#64408 | semidirect |
| 195. C42 | C2×#64408 | semidirect |