Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
374 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 117 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. #15689846 | C2 | semidirect |
| 3. #15689528 | C2 | semidirect |
| 4. #15689457 | C2 | semidirect |
| 5. #15689445 | C2 | semidirect |
| 6. #15689408 | C2 | semidirect |
| 7. #15689403 | C2 | semidirect |
| 8. #15689366 | C2 | semidirect |
| 9. #15689202 | C2 | semidirect |
| 10. #15689162 | C2 | semidirect |
| 11. C4×SD16×C47 | C2 | semidirect |
| 98. C8×C47 | #41 | semidirect |
| 131. C4×SD16 | D47 | semidirect |
| 134. C47 | #3353 | semidirect |
| 222. C8 | #10625350 | semidirect |