Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 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. Q8×Dic94 | C2 | semidirect |
| 4. #15689474 | C2 | semidirect |
| 6. #15689407 | C2 | semidirect |
| 8. #15689333 | C2 | semidirect |
| 9. #15689253 | C2 | semidirect |
| 10. #15689227 | C2 | semidirect |
| 128. C47 | #3369 | semidirect |