Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
532 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 141 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. #17989137 | C2 | semidirect |
| 2. #17988963 | C2 | semidirect |
| 3. #17988933 | C2 | semidirect |
| 4. #17988779 | C2 | semidirect |
| 5. #17988721 | C2 | semidirect |
| 6. #17988640 | C2 | semidirect |
| 7. C2×#127×C73 | C2 | semidirect |
| 9. C2×#11924013 | C22 | semidirect |
| 10. #14556591 | C22 | semidirect |
| 11. #14556588 | C22 | semidirect |
| 16. C4×D292 | C22 | semidirect |
| 17. C4⋊#10596831 | C22 | semidirect |
| 18. #14556512 | C22 | semidirect |
| 20. C4×#10596831 | C22 | semidirect |
| 73. C2×C4×C73 | D8 | semidirect |
| 113. C73 | #3205 | semidirect |
| 115. C2×#127 | D73 | semidirect |
| 193. C2×C4 | #11924013 | semidirect |