Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C22×Dic292 | C2 | semidirect |
| 2. C2×Q16×D73 | C2 | semidirect |
| 4. #17988965 | C2 | semidirect |
| 5. #17988829 | C2 | semidirect |
| 6. #17988796 | C2 | semidirect |
| 7. #17988744 | C2 | semidirect |
| 8. #17988742 | C2 | semidirect |
| 9. #17988681 | C2 | semidirect |
| 11. #467×C73 | C2 | semidirect |
| 55. Dic292 | D4 | semidirect |
| 90. C22⋊D73 | Q16 | semidirect |
| 112. C22×C73 | C2×Q16 | semidirect |
| 116. C2×D73 | C2×Q16 | semidirect |
| 126. Dic73 | C2×Q16 | semidirect |
| 133. C73 | D4×Q16 | semidirect |
| 139. #467 | D73 | semidirect |
| 248. C22 | Q16×D73 | semidirect |