Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #15689133 | C2 | semidirect |
| 5. #15689028 | C2 | semidirect |
| 6. #15688884 | C2 | semidirect |
| 7. C47×#343 | C2 | semidirect |
| 11. #13094057 | C4 | semidirect |
| 45. C2×Dic94 | C2×C4 | semidirect |
| 50. M16×C47 | C2×C4 | semidirect |
| 130. #343 | D47 | semidirect |
| 132. C47 | #1882 | semidirect |
| 177. M16 | C4×D47 | semidirect |