Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
352 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 131 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. #15689832 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689525 | C2 | semidirect |
| 4. #15689524 | C2 | semidirect |
| 5. #15689425 | C2 | semidirect |
| 6. #15689423 | C2 | semidirect |
| 7. #15689411 | C2 | semidirect |
| 8. C8×Dic94 | C2 | semidirect |
| 45. D8×C47 | Q8 | semidirect |
| 120. C47 | #3380 | semidirect |
| 154. D8 | Dic94 | semidirect |