Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
738 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 738 conjugacy classes of subgroups — too many to draw. Only its 153 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×#13094057 | C2 | semidirect |
| 3. C2×#13094055 | C2 | semidirect |
| 5. #15689280 | C2 | semidirect |
| 6. #15689263 | C2 | semidirect |
| 7. #15689131 | C2 | semidirect |
| 8. #15689086 | C2 | semidirect |
| 9. C47×#419 | C2 | semidirect |
| 21. C2×Dic188 | C22 | semidirect |
| 22. C2×#10625337 | C22 | semidirect |
| 23. C2×#10625325 | C22 | semidirect |
| 24. C2×#10625336 | C22 | semidirect |
| 31. #13093947 | C22 | semidirect |
| 36. #103×C47 | C22 | semidirect |
| 40. C2×Q8×C47 | D4 | semidirect |
| 65. C2×Dic94 | D4 | semidirect |
| 127. C2×D47 | #137 | semidirect |
| 149. #419 | D47 | semidirect |
| 151. C47 | #3004 | semidirect |
| 177. #103 | C2×D47 | semidirect |
| 194. C2×Q8 | D188 | semidirect |