Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
372 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 372 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. #15689858 | C2 | semidirect |
| 2. #15689846 | C2 | semidirect |
| 3. #15689507 | C2 | semidirect |
| 4. #15689496 | C2 | semidirect |
| 5. #15689346 | C2 | semidirect |
| 6. #15689339 | C2 | semidirect |
| 7. #15689334 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 10. C4×#10625325 | C2 | semidirect |
| 11. C8×Q8×C47 | C2 | semidirect |
| 134. C8×Q8 | D47 | semidirect |
| 137. C47 | #3394 | semidirect |