Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
364 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 115 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. #15689837 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689446 | C2 | semidirect |
| 4. #15689444 | C2 | semidirect |
| 5. #15689411 | C2 | semidirect |
| 6. #15689356 | C2 | semidirect |
| 7. D8×Dic47 | C2 | semidirect |
| 8. C8×C22⋊D47 | C2 | semidirect |
| 9. #15689161 | C2 | semidirect |
| 10. #15689160 | C2 | semidirect |
| 11. C47×#466 | C2 | semidirect |
| 127. #466 | D47 | semidirect |
| 132. C47 | #3341 | semidirect |