Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
500 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 133 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×#14273747 | C2 | semidirect |
| 2. C22×#11745659 | C2 | semidirect |
| 3. #16837914 | C2 | semidirect |
| 4. #16837909 | C2 | semidirect |
| 5. #16837659 | C2 | semidirect |
| 6. #16837654 | C2 | semidirect |
| 7. #16837651 | C2 | semidirect |
| 8. #16837647 | C2 | semidirect |
| 9. #16837438 | C2 | semidirect |
| 10. #16837399 | C2 | semidirect |
| 11. C59×#416 | C2 | semidirect |
| 15. C2×#11745672 | C22 | semidirect |
| 16. C2×#11745670 | C22 | semidirect |
| 17. C2×#11745671 | C22 | semidirect |
| 18. C2×#11745669 | C22 | semidirect |
| 34. #14273660 | C22 | semidirect |
| 35. #14273658 | C22 | semidirect |
| 36. #14273652 | C22 | semidirect |
| 37. #14273649 | C22 | semidirect |
| 41. #103×C59 | C22 | semidirect |
| 42. #102×C59 | C22 | semidirect |
| 82. C2×C59⋊C8 | D4 | semidirect |
| 159. #416 | D59 | semidirect |
| 160. C59 | #3054 | semidirect |
| 189. #103 | C2×D59 | semidirect |
| 191. #102 | C2×D59 | semidirect |