Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
490 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 1. C2×#14556588 | C2 | semidirect |
| 2. #17988977 | C2 | semidirect |
| 3. #17988953 | C2 | semidirect |
| 4. #17988787 | C2 | semidirect |
| 5. #17988782 | C2 | semidirect |
| 6. #17988737 | C2 | semidirect |
| 7. #17988720 | C2 | semidirect |
| 8. #17988644 | C2 | semidirect |
| 9. #529×C73 | C2 | semidirect |
| 13. C2×#11924015 | C22 | semidirect |
| 14. C2×#11924013 | C22 | semidirect |
| 19. C4⋊#10596831 | C22 | semidirect |
| 20. #14556511 | C22 | semidirect |
| 21. #14556511 | C22 | semidirect |
| 23. #14556502 | C22 | semidirect |
| 25. #125×C73 | C22 | semidirect |
| 26. #124×C73 | C22 | semidirect |
| 30. C4×Q8×C73 | C22 | semidirect |
| 32. C4×D4×C73 | C22 | semidirect |
| 128. C73 | #3217 | semidirect |
| 130. #529 | D73 | semidirect |
| 148. #125 | C2×D73 | semidirect |
| 149. #124 | C2×D73 | semidirect |
| 153. C4×Q8 | C2×D73 | semidirect |
| 155. C4×D4 | C2×D73 | semidirect |