Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
398 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 398 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. #15689603 | C2 | semidirect |
| 3. #15689463 | C2 | semidirect |
| 4. #15689457 | C2 | semidirect |
| 5. #15689445 | C2 | semidirect |
| 6. #15689435 | C2 | semidirect |
| 7. #15689166 | C2 | semidirect |
| 8. C2×#13093958 | C2 | semidirect |
| 9. #15689124 | C2 | semidirect |
| 10. #15689089 | C2 | semidirect |
| 11. C47×#416 | C2 | semidirect |
| 143. #416 | D47 | semidirect |
| 145. C47 | #3098 | semidirect |