Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
524 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 524 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. C22×D584 | C2 | semidirect |
| 2. C2×#14556597 | C2 | semidirect |
| 3. #17989156 | C2 | semidirect |
| 4. #17988841 | C2 | semidirect |
| 5. #17988824 | C2 | semidirect |
| 6. #17988591 | C2 | semidirect |
| 7. #427×C73 | C2 | semidirect |
| 15. C2×#11924011 | C22 | semidirect |
| 16. C2×C8×D73 | C22 | semidirect |
| 19. #14556566 | C22 | semidirect |
| 21. #14556511 | C22 | semidirect |
| 24. #107×C73 | C22 | semidirect |
| 25. #106×C73 | C22 | semidirect |
| 46. C2×C8×C73 | D4 | semidirect |
| 94. C73 | #3058 | semidirect |
| 100. #427 | D73 | semidirect |
| 117. #107 | C2×D73 | semidirect |
| 118. #106 | C2×D73 | semidirect |
| 139. C2×C8 | D292 | semidirect |