Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 189 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. C2×#14556597 | C2 | semidirect |
| 3. #17988705 | C2 | direct (N × H) |
| 4. C2×#14556527 | C2 | semidirect |
| 5. C2×#14556519 | C2 | semidirect |
| 6. C2×C4×C8×C73 | C2 | semidirect |
| 8. #14556613 | C4 | semidirect |
| 10. C2×Dic292 | C4 | semidirect |
| 11. C2×#11924017 | C4 | semidirect |
| 12. C2×D584 | C4 | semidirect |
| 14. #14556597 | C22 | semidirect |
| 18. #14556527 | C22 | semidirect |
| 19. #14556519 | C22 | semidirect |
| 23. C4×C8×C73 | C22 | semidirect |
| 32. Dic292 | C2×C4 | semidirect |
| 33. #11924017 | C2×C4 | semidirect |
| 34. D584 | C2×C4 | semidirect |
| 90. C2×C73 | #443 | semidirect |
| 94. C73 | C2×#443 | semidirect |
| 100. C2×C4×C8 | D73 | semidirect |
| 117. C4×C8 | C2×D73 | semidirect |
| 185. C2 | #17988705 | direct (N × H) |