Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #15689515 | C2 | semidirect |
| 3. #15689491 | C2 | semidirect |
| 4. #15689330 | C2 | semidirect |
| 5. #15689325 | C2 | semidirect |
| 6. #15689279 | C2 | semidirect |
| 8. #15689180 | C2 | semidirect |
| 9. C2×C4⋊Q8×C47 | C2 | semidirect |
| 116. C2×C4⋊Q8 | D47 | semidirect |
| 125. C47 | #3218 | semidirect |