Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
396 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 396 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. #15689830 | C2 | semidirect |
| 2. #15689794 | C2 | semidirect |
| 3. #15689486 | C2 | semidirect |
| 4. #15689470 | C2 | semidirect |
| 5. #15689426 | C2 | semidirect |
| 6. #15689413 | C2 | semidirect |
| 7. #15689318 | C2 | semidirect |
| 8. #15689316 | C2 | semidirect |
| 9. #15689253 | C2 | semidirect |
| 10. #15689232 | C2 | semidirect |
| 11. C4×D8×C47 | C2 | semidirect |
| 80. D4×C47 | #41 | semidirect |
| 140. C4×D8 | D47 | semidirect |
| 141. C47 | #3366 | semidirect |
| 218. D4 | #10625350 | semidirect |