Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
392 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 392 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. C2×#13094015 | C2 | semidirect |
| 3. #15689490 | C2 | semidirect |
| 4. #15689486 | C2 | semidirect |
| 5. #15689479 | C2 | semidirect |
| 6. #15689476 | C2 | semidirect |
| 7. #15689125 | C2 | semidirect |
| 8. #15689124 | C2 | semidirect |
| 9. #15689122 | C2 | semidirect |
| 10. M16×Dic47 | C2 | semidirect |
| 11. C47×#417 | C2 | semidirect |
| 156. #417 | D47 | semidirect |
| 158. C47 | #3142 | semidirect |