Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 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. #15689680 | C2 | semidirect |
| 2. #15689427 | C2 | semidirect |
| 3. #15689418 | C2 | semidirect |
| 4. #15689413 | C2 | semidirect |
| 5. #15689379 | C2 | semidirect |
| 7. #15689342 | C2 | semidirect |
| 8. #15689333 | C2 | semidirect |
| 9. #15689328 | C2 | semidirect |
| 10. #15689147 | C2 | semidirect |
| 145. C47 | #3252 | semidirect |