Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17989294 | C2 | semidirect |
| 2. #17988983 | C2 | semidirect |
| 3. #17988917 | C2 | semidirect |
| 4. #17988903 | C2 | semidirect |
| 5. #17988877 | C2 | semidirect |
| 6. #17988869 | C2 | semidirect |
| 7. #17988814 | C2 | semidirect |
| 8. C4×#11924016 | C2 | semidirect |
| 9. D4×#10596831 | C2 | semidirect |
| 10. C2×#14556522 | C2 | semidirect |
| 80. D4×C73 | SD16 | semidirect |
| 100. #10596831 | #41 | semidirect |
| 124. C73 | #3335 | semidirect |
| 207. D4 | #11924016 | semidirect |