Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
242 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 73 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. #17988644 | C2 | semidirect |
| 3. #17988323 | C2 | semidirect |
| 5. C4×C4⋊C4×C73 | C2 | semidirect |
| 7. #14556583 | C4 | semidirect |
| 8. #14556579 | C4 | semidirect |
| 12. C4×Dic146 | C4 | semidirect |
| 13. C4×D292 | C4 | semidirect |
| 99. C73 | #1509 | semidirect |
| 102. C4×C4⋊C4 | D73 | semidirect |