Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
384 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 384 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. #15689858 | C2 | semidirect |
| 2. D4×Dic94 | C2 | semidirect |
| 3. #15689484 | C2 | semidirect |
| 4. #15689470 | C2 | semidirect |
| 5. #15689412 | C2 | semidirect |
| 6. #15689408 | C2 | semidirect |
| 7. #15689340 | C2 | semidirect |
| 9. #15689253 | C2 | semidirect |
| 10. #15689232 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 135. C4×SD16 | D47 | semidirect |
| 136. C47 | #3373 | semidirect |