Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 139 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. #15689830 | C2 | semidirect |
| 2. #15689519 | C2 | semidirect |
| 3. #15689453 | C2 | semidirect |
| 4. #15689439 | C2 | semidirect |
| 5. #15689413 | C2 | semidirect |
| 6. #15689405 | C2 | semidirect |
| 7. #15689350 | C2 | semidirect |
| 8. C4×#10625335 | C2 | semidirect |
| 9. D4×C47⋊C8 | C2 | semidirect |
| 10. C2×#13093955 | C2 | semidirect |
| 80. D4×C47 | SD16 | semidirect |
| 100. C47⋊C8 | #41 | semidirect |
| 135. C47 | #3335 | semidirect |
| 207. D4 | #10625335 | semidirect |