Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
456 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 456 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. #15689670 | C2 | semidirect |
| 2. #15689527 | C2 | semidirect |
| 3. #15689498 | C2 | semidirect |
| 4. #15689468 | C2 | semidirect |
| 5. #15689360 | C2 | semidirect |
| 6. #15689358 | C2 | semidirect |
| 7. #15689356 | C2 | semidirect |
| 8. C4×D376 | C2 | semidirect |
| 9. C4×#10625334 | C2 | semidirect |
| 10. C4×C8×D47 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 96. C4×D47 | D8 | semidirect |
| 99. C8×C47 | #41 | semidirect |
| 101. C47⋊C8 | #41 | semidirect |
| 137. C4×D8 | D47 | semidirect |
| 139. C47 | #3169 | semidirect |
| 229. C8 | #10625350 | semidirect |