Finite Group DatabasebetaFinite Group DatabasebetaOrder 7552.
548 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 548 conjugacy classes of subgroups — too many to draw. Only its 143 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×#14273755 | C2 | semidirect |
| 2. C2×M16×D59 | C2 | semidirect |
| 3. #16837914 | C2 | semidirect |
| 4. C2×#14273702 | C2 | semidirect |
| 5. #16837656 | C2 | semidirect |
| 6. #16837649 | C2 | semidirect |
| 7. #16837639 | C2 | semidirect |
| 8. #16837632 | C2 | semidirect |
| 9. #16837406 | C2 | semidirect |
| 10. #16837401 | C2 | semidirect |
| 11. C59×#428 | C2 | semidirect |
| 17. C2×#11745660 | C22 | semidirect |
| 18. C2×D472 | C22 | semidirect |
| 20. C2×#11745659 | C22 | semidirect |
| 22. C2×C8×D59 | C22 | semidirect |
| 24. #14273707 | C22 | semidirect |
| 25. #14273707 | C22 | semidirect |
| 30. #14273702 | C22 | semidirect |
| 31. #14273702 | C22 | semidirect |
| 36. #14273650 | C22 | semidirect |
| 37. #14273647 | C22 | semidirect |
| 38. #14273647 | C22 | semidirect |
| 39. #14273647 | C22 | semidirect |
| 43. #107×C59 | C22 | semidirect |
| 44. #106×C59 | C22 | semidirect |
| 71. M16×C59 | D4 | semidirect |
| 135. C8×C59 | C2×D4 | semidirect |
| 154. C2×D59 | AGL(1,ℤ/8) | semidirect |
| 181. #428 | D59 | semidirect |
| 184. C59 | #3055 | semidirect |
| 212. #107 | C2×D59 | semidirect |
| 213. #106 | C2×D59 | semidirect |
| 248. M16 | D236 | semidirect |
| 309. C8 | C2×D236 | semidirect |