Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
154 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 44 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. #17989634 | C2 | semidirect |
| 2. #17989628 | C2 | semidirect |
| 3. #17989511 | C2 | semidirect |
| 4. #17989505 | C2 | semidirect |
| 5. #17989503 | C2 | semidirect |
| 6. #17989477 | C2 | semidirect |
| 18. #14556536 | C4 | semidirect |
| 19. #14556535 | C4 | semidirect |
| 20. #14556532 | C4 | semidirect |
| 22. D16×C73 | C4 | semidirect |
| 34. Dic292 | C2×C4 | semidirect |
| 39. #11924003 | C2×C4 | semidirect |
| 41. D8×C73 | C2×C4 | semidirect |
| 42. C16×C73 | C2×C4 | semidirect |
| 76. C73 | AGL(1,ℤ/16) | semidirect |
| 91. D16 | #64408 | semidirect |
| 107. D8 | C2×#64408 | semidirect |
| 118. C16 | C2×#64408 | semidirect |