Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
232 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 64 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. #17989643 | C2 | semidirect |
| 2. C2×#14556659 | C2 | semidirect |
| 3. #17989504 | C2 | semidirect |
| 4. #17989503 | C2 | semidirect |
| 7. #14556666 | C22 | semidirect |
| 11. #14556659 | C22 | semidirect |
| 14. #14556613 | C4 | semidirect |
| 18. Q16×D73 | C4 | semidirect |
| 20. D8×D73 | C4 | semidirect |
| 22. #135×C73 | C4 | semidirect |
| 37. Dic292 | C2×C4 | semidirect |
| 42. D584 | C2×C4 | semidirect |
| 50. Q16×C73 | C2×C4 | semidirect |
| 52. D8×C73 | C2×C4 | semidirect |
| 102. D73 | #360 | semidirect |
| 104. C73 | C2×#360 | semidirect |
| 116. #135 | #64408 | semidirect |
| 141. Q16 | C2×#64408 | semidirect |
| 148. D8 | C2×#64408 | semidirect |