Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
338 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 133 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. #15689851 | C2 | semidirect |
| 3. #15689525 | C2 | semidirect |
| 4. #15689521 | C2 | semidirect |
| 5. #15689431 | C2 | semidirect |
| 7. #15689419 | C2 | semidirect |
| 11. C8×Q8×C47 | C2 | semidirect |
| 71. #10625325 | Q8 | semidirect |
| 123. C8×Q8 | D47 | semidirect |
| 126. C47 | #3381 | semidirect |