Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689660 | C2 | semidirect |
| 2. #15689524 | C2 | semidirect |
| 3. #15689508 | C2 | semidirect |
| 4. #15689479 | C2 | semidirect |
| 5. #15689361 | C2 | semidirect |
| 7. #15689355 | C2 | semidirect |
| 8. C4×#10625336 | C2 | semidirect |
| 9. C4×D376 | C2 | semidirect |
| 10. C4×C8×D47 | C2 | semidirect |
| 11. C4×Q16×C47 | C2 | semidirect |
| 126. C4×Q16 | D47 | semidirect |
| 130. C47 | #3168 | semidirect |