Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
460 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×Q16×D47 | C2 | semidirect |
| 4. #15689380 | C2 | semidirect |
| 5. #15689379 | C2 | semidirect |
| 6. #15689365 | C2 | semidirect |
| 7. #15689364 | C2 | semidirect |
| 8. #15689361 | C2 | semidirect |
| 9. #15689160 | C2 | semidirect |
| 10. #15689130 | C2 | semidirect |
| 11. C47×#467 | C2 | semidirect |
| 146. #467 | D47 | semidirect |
| 149. C47 | #3059 | semidirect |