Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #15689511 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. #15689344 | C2 | semidirect |
| 5. #15689338 | C2 | semidirect |
| 6. #15689317 | C2 | semidirect |
| 7. #15689253 | C2 | semidirect |
| 8. #15689222 | C2 | semidirect |
| 9. C4×D8×C47 | C2 | semidirect |
| 117. C4×D8 | D47 | semidirect |
| 118. C47 | #3403 | semidirect |