Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
356 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. #15689527 | C2 | semidirect |
| 3. #15689457 | C2 | semidirect |
| 4. #15689456 | C2 | semidirect |
| 5. #15689416 | C2 | semidirect |
| 6. #15689361 | C2 | semidirect |
| 7. Q16×Dic47 | C2 | semidirect |
| 9. C2×#13093958 | C2 | semidirect |
| 10. #107×D47 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 79. C22⋊D47 | Q16 | semidirect |
| 123. #467 | D47 | semidirect |
| 128. C47 | #3338 | semidirect |