Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 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 |
|---|---|---|
| 2. #15689597 | C2 | semidirect |
| 3. #15689128 | C2 | semidirect |
| 4. C2×#13093940 | C2 | semidirect |
| 5. #15688884 | C2 | semidirect |
| 6. #15688882 | C2 | semidirect |
| 7. C47×#418 | C2 | semidirect |
| 12. #13094020 | C4 | semidirect |
| 31. C2×D4×C47 | C2×C4 | semidirect |
| 46. C4⋊C4×C47 | D4 | semidirect |
| 51. C4⋊Dic47 | D4 | semidirect |
| 54. C4×Dic47 | C2×C4 | semidirect |
| 118. #418 | D47 | semidirect |
| 122. C47 | #1887 | semidirect |
| 154. C2×D4 | C4×D47 | semidirect |
| 165. C4⋊C4 | C22⋊D47 | semidirect |