Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
462 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #17988920 | C2 | semidirect |
| 3. #17988900 | C2 | semidirect |
| 4. #17988835 | C2 | semidirect |
| 5. #17988737 | C2 | semidirect |
| 6. #17988726 | C2 | semidirect |
| 7. #17988551 | C2 | semidirect |
| 8. C2×C22⋊Q8×C73 | C2 | semidirect |
| 11. C2×#11924015 | C22 | semidirect |
| 12. C2×#11924012 | C22 | semidirect |
| 19. #14556524 | C22 | semidirect |
| 20. #14556515 | C22 | semidirect |
| 21. #14556511 | C22 | semidirect |
| 23. C22⋊#10596831 | C22 | semidirect |
| 24. C22×Q8×C73 | C22 | semidirect |
| 29. C22⋊Q8×C73 | C22 | semidirect |
| 31. C2×C4⋊C4×C73 | C22 | semidirect |
| 130. C73 | #3193 | semidirect |
| 131. C2×C22⋊Q8 | D73 | semidirect |
| 139. C22×Q8 | C2×D73 | semidirect |
| 148. C22⋊Q8 | C2×D73 | semidirect |
| 155. C2×C4⋊C4 | C2×D73 | semidirect |