Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
436 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 436 conjugacy classes of subgroups — too many to draw. Only its 121 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. #15689668 | C2 | semidirect |
| 2. #15689402 | C2 | semidirect |
| 3. #15689401 | C2 | semidirect |
| 4. #15689359 | C2 | semidirect |
| 5. #15689357 | C2 | semidirect |
| 6. #15689317 | C2 | semidirect |
| 7. #15689316 | C2 | semidirect |
| 8. C2×Dic47⋊C8 | C2 | semidirect |
| 9. C47×#466 | C2 | semidirect |
| 82. C2×Dic47 | D8 | semidirect |
| 121. #466 | D47 | semidirect |
| 125. C47 | #3245 | semidirect |