Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
792 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 792 conjugacy classes of subgroups — too many to draw. Only its 155 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×Q8×D47 | C2 | semidirect |
| 2. C2×SD16×D47 | C2 | semidirect |
| 4. #15689264 | C2 | semidirect |
| 5. #15689263 | C2 | semidirect |
| 6. #15689262 | C2 | semidirect |
| 7. #15689261 | C2 | semidirect |
| 8. #15689260 | C2 | semidirect |
| 9. #103×D47 | C2 | semidirect |
| 10. C22⋊C8×D47 | C2 | semidirect |
| 11. C47×#448 | C2 | semidirect |
| 13. C22×Dic94 | C22 | semidirect |
| 18. C2×Q8×D47 | C22 | semidirect |
| 23. C2×#10625325 | C22 | semidirect |
| 24. C2×#10625335 | C22 | semidirect |
| 25. C2×#10625336 | C22 | semidirect |
| 35. #13093949 | C22 | semidirect |
| 36. #13093948 | C22 | semidirect |
| 37. #13093947 | C22 | semidirect |
| 38. C22⋊(C47⋊C8) | C22 | semidirect |
| 39. (C2×D47)⋊C8 | C22 | semidirect |
| 40. C22×Q8×C47 | C22 | semidirect |
| 41. C2×SD16×C47 | C22 | semidirect |
| 43. #103×C47 | C22 | semidirect |
| 44. C22⋊C8×C47 | C22 | semidirect |
| 64. Q8×D47 | D4 | semidirect |
| 106. C22×D47 | SD16 | semidirect |
| 111. Q8×C47 | C2×D4 | semidirect |
| 142. Dic94 | C2×D4 | semidirect |
| 150. C22×C47 | C2×SD16 | semidirect |
| 161. C2×D47 | C2×SD16 | semidirect |
| 179. D47 | #448 | direct (N × H) |
| 188. #448 | D47 | direct (N × H) |
| 191. C47 | C2×#448 | semidirect |
| 199. C22×Q8 | C2×D47 | semidirect |
| 208. C2×SD16 | C2×D47 | semidirect |
| 221. #103 | C2×D47 | semidirect |
| 224. C22⋊C8 | C2×D47 | semidirect |
| 296. Q8 | D4×D47 | semidirect |
| 341. C22 | SD16×D47 | semidirect |