Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 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 |
|---|---|---|
| 1. #15689777 | C2 | semidirect |
| 2. #15689473 | C2 | semidirect |
| 3. #15689456 | C2 | semidirect |
| 4. #15689403 | C2 | semidirect |
| 5. #15689371 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 7. #15689268 | C2 | semidirect |
| 8. C4×#10625334 | C2 | semidirect |
| 9. #15689201 | C2 | semidirect |
| 10. #15689124 | C2 | semidirect |
| 11. C47×#547 | C2 | semidirect |
| 85. D4×C47 | #41 | semidirect |
| 134. #547 | D47 | semidirect |
| 144. C47 | #3330 | semidirect |
| 222. D4 | #10625352 | semidirect |