Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
388 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
| 3. #15689521 | C2 | semidirect |
| 4. #15689454 | C2 | semidirect |
| 5. #15689442 | C2 | semidirect |
| 6. #15689414 | C2 | semidirect |
| 7. #15689409 | C2 | semidirect |
| 8. #15689352 | C2 | semidirect |
| 9. C4×#10625325 | C2 | semidirect |
| 10. C2×#13093956 | C2 | semidirect |
| 11. C8×D4×C47 | C2 | semidirect |
| 76. D4×C47 | SD16 | semidirect |
| 100. C8×C47 | #41 | semidirect |
| 133. C8×D4 | D47 | semidirect |
| 135. C47 | #3335 | semidirect |
| 207. D4 | #10625325 | semidirect |
| 224. C8 | #10625352 | semidirect |