Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
472 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 141 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×#13094032 | C2 | semidirect |
| 3. #15689697 | C2 | semidirect |
| 4. #15689378 | C2 | semidirect |
| 5. #15689366 | C2 | semidirect |
| 6. #15689361 | C2 | semidirect |
| 7. #15689349 | C2 | semidirect |
| 8. #15689165 | C2 | semidirect |
| 9. #15689119 | C2 | semidirect |
| 10. C2×#13093948 | C2 | semidirect |
| 11. C2×#137×C47 | C2 | semidirect |
| 65. M16×C47 | D4 | semidirect |
| 144. C2×#137 | D47 | semidirect |
| 155. C47 | #3063 | semidirect |
| 210. M16 | C22⋊D47 | semidirect |