Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
484 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 133 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×#13094044 | C2 | semidirect |
| 2. #15689778 | C2 | semidirect |
| 3. #15689502 | C2 | semidirect |
| 4. #15689362 | C2 | semidirect |
| 5. #15689328 | C2 | semidirect |
| 6. #15689325 | C2 | semidirect |
| 7. #15689285 | C2 | semidirect |
| 8. #15689283 | C2 | semidirect |
| 9. C4×#10625334 | C2 | semidirect |
| 10. D4×C47⋊C8 | C2 | semidirect |
| 11. C47×#547 | C2 | semidirect |
| 72. #10625334 | D4 | semidirect |
| 127. C4×C47 | #135 | semidirect |
| 141. #547 | D47 | semidirect |
| 150. C47 | #3283 | semidirect |
| 268. C4 | #13094044 | semidirect |