Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. #17989144 | C2 | semidirect |
| 3. #17988929 | C2 | semidirect |
| 4. #17988873 | C2 | semidirect |
| 5. #17988868 | C2 | semidirect |
| 6. #17988798 | C2 | semidirect |
| 7. #17988793 | C2 | semidirect |
| 9. C4×Dic292 | C2 | semidirect |
| 10. C4×#11924017 | C2 | semidirect |
| 11. #431×C73 | C2 | semidirect |
| 137. C73 | #3107 | semidirect |
| 148. #431 | D73 | semidirect |