Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 115 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. #15689856 | C2 | semidirect |
| 2. #15689507 | C2 | semidirect |
| 3. #15689506 | C2 | semidirect |
| 5. #15689338 | C2 | semidirect |
| 6. #15689337 | C2 | semidirect |
| 7. #15689322 | C2 | semidirect |
| 8. C8×Dic94 | C2 | semidirect |
| 9. #15689217 | C2 | semidirect |
| 10. #15689205 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 131. C4×D8 | D47 | semidirect |
| 132. C47 | #3396 | semidirect |