Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 388 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. #15689833 | C2 | semidirect |
| 3. #15689521 | C2 | semidirect |
| 4. #15689452 | C2 | semidirect |
| 5. #15689440 | C2 | semidirect |
| 6. #15689413 | C2 | semidirect |
| 7. #15689408 | C2 | semidirect |
| 8. #15689349 | C2 | semidirect |
| 9. C8×D188 | C2 | semidirect |
| 10. #106×D47 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 91. D188 | SD16 | semidirect |
| 99. C8×C47 | #41 | semidirect |
| 132. C4×SD16 | D47 | semidirect |
| 135. C47 | #3335 | semidirect |
| 224. C8 | #10625350 | semidirect |