Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
286 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 65 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. C2×#13093939 | C2 | semidirect |
| 3. #15688917 | C2 | semidirect |
| 4. #15688915 | C2 | semidirect |
| 5. C2×#99×C47 | C2 | semidirect |
| 6. C2×#10625350 | C4 | semidirect |
| 7. #13094020 | C4 | semidirect |
| 9. #13094011 | C4 | semidirect |
| 15. #13093983 | C4 | semidirect |
| 41. C2×D188 | C2×C4 | semidirect |
| 43. C2×Dic94 | C2×C4 | semidirect |
| 54. C4×Dic47 | C2×C4 | semidirect |
| 55. C4×Dic47 | C2×C4 | semidirect |
| 130. C2×#99 | D47 | semidirect |
| 133. C47 | #2127 | semidirect |