Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689728 | C2 | semidirect |
| 2. #15689423 | C2 | semidirect |
| 3. #15689420 | C2 | semidirect |
| 4. #15689374 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689318 | C2 | semidirect |
| 7. #15689315 | C2 | semidirect |
| 8. #15689150 | C2 | semidirect |
| 9. C47×#540 | C2 | semidirect |
| 108. #540 | D47 | semidirect |
| 116. C47 | #3259 | semidirect |