Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #15689846 | C2 | semidirect |
| 3. #15689470 | C2 | semidirect |
| 4. #15689450 | C2 | semidirect |
| 5. #15689408 | C2 | semidirect |
| 6. #15689355 | C2 | semidirect |
| 7. #15689323 | C2 | semidirect |
| 8. #15689284 | C2 | semidirect |
| 9. C8×D188 | C2 | semidirect |
| 10. #15689118 | C2 | semidirect |
| 11. C4×Q16×C47 | C2 | semidirect |
| 136. C4×Q16 | D47 | semidirect |
| 139. C47 | #3304 | semidirect |