Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
372 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 372 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. #15689843 | C2 | semidirect |
| 2. D4×Dic94 | C2 | semidirect |
| 3. #15689481 | C2 | semidirect |
| 4. #15689474 | C2 | semidirect |
| 5. #15689417 | C2 | semidirect |
| 6. #15689403 | C2 | semidirect |
| 8. #15689328 | C2 | semidirect |
| 9. #15689253 | C2 | semidirect |
| 10. #15689220 | C2 | semidirect |
| 134. C47 | #3367 | semidirect |