Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
572 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#14556624 | C2 | semidirect |
| 2. C2×#14556621 | C2 | semidirect |
| 3. C2×#14556617 | C2 | semidirect |
| 4. #17989133 | C2 | semidirect |
| 5. C2×#14556578 | C2 | semidirect |
| 6. #17988978 | C2 | semidirect |
| 7. #17988975 | C2 | semidirect |
| 8. #17988970 | C2 | semidirect |
| 9. #17988968 | C2 | semidirect |
| 10. M16×Dic73 | C2 | semidirect |
| 11. C2×AGL(1,ℤ/8)×C73 | C2 | semidirect |
| 17. C2×Dic292 | C22 | semidirect |
| 18. C2×#11924018 | C22 | semidirect |
| 19. C2×#11924017 | C22 | semidirect |
| 21. C2×#11924016 | C22 | semidirect |
| 24. #14556589 | C22 | semidirect |
| 25. #14556587 | C22 | semidirect |
| 26. #14556580 | C22 | semidirect |
| 30. #14556578 | C22 | semidirect |
| 35. #14556501 | C22 | semidirect |
| 36. C8×Dic73 | C22 | semidirect |
| 62. #11924012 | D4 | semidirect |
| 86. M16×C73 | D4 | semidirect |
| 151. C73 | #3153 | semidirect |
| 155. C2×AGL(1,ℤ/8) | D73 | semidirect |
| 228. M16 | C22⋊D73 | semidirect |