Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
452 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 137 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. #15689923 | C2 | semidirect |
| 2. C2×#13094046 | C2 | semidirect |
| 3. C2×#13094030 | C2 | semidirect |
| 4. #15689399 | C2 | semidirect |
| 5. #15689394 | C2 | semidirect |
| 6. #15689387 | C2 | semidirect |
| 7. #15689105 | C2 | semidirect |
| 8. C2×#108×C47 | C2 | semidirect |
| 20. C2×Dic188 | C22 | semidirect |
| 21. C2×#10625325 | C22 | semidirect |
| 22. C2×D376 | C22 | semidirect |
| 30. #13093942 | C22 | semidirect |
| 31. #13093940 | C22 | semidirect |
| 34. #108×C47 | C22 | semidirect |
| 35. #108×C47 | C22 | semidirect |
| 139. C2×#108 | D47 | semidirect |
| 141. C47 | #3067 | semidirect |
| 165. #108 | C2×D47 | semidirect |
| 166. #108 | C2×D47 | semidirect |