Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
434 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 129 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. #15689673 | C2 | semidirect |
| 2. C4×#10625350 | C2 | semidirect |
| 3. #15689448 | C2 | semidirect |
| 4. #15689419 | C2 | semidirect |
| 5. #15689414 | C2 | semidirect |
| 6. #15689324 | C2 | semidirect |
| 7. #15689319 | C2 | semidirect |
| 8. #15689270 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 10. C4×D376 | C2 | semidirect |
| 11. C47×#431 | C2 | semidirect |
| 107. D188 | #41 | semidirect |
| 114. Dic94 | #41 | semidirect |
| 155. #431 | D47 | semidirect |
| 156. C47 | #3106 | semidirect |