Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 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. D4×Dic146 | C2 | semidirect |
| 3. #17988938 | C2 | semidirect |
| 4. #17988918 | C2 | semidirect |
| 5. #17988873 | C2 | semidirect |
| 6. #17988816 | C2 | semidirect |
| 7. #17988793 | C2 | semidirect |
| 8. #17988728 | C2 | semidirect |
| 9. C4×#11924017 | C2 | semidirect |
| 10. C2×#14556516 | C2 | semidirect |
| 11. C8×D4×C73 | C2 | semidirect |
| 79. D4×C73 | SD16 | semidirect |
| 102. Dic146 | #41 | semidirect |
| 129. C73 | #3298 | semidirect |
| 139. C8×D4 | D73 | semidirect |
| 217. D4 | #11924017 | semidirect |