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. #15689129 | C2 | semidirect |
| 4. #15689127 | C2 | semidirect |
| 5. C2×#13093940 | C2 | semidirect |
| 6. #15688883 | C2 | semidirect |
| 7. C47×#339 | C2 | semidirect |
| 13. #13094021 | C4 | semidirect |
| 40. C2×D188 | C2×C4 | semidirect |
| 46. C4⋊C4×C47 | D4 | semidirect |
| 50. C42×C47 | C2×C4 | semidirect |
| 53. C4⋊Dic47 | D4 | semidirect |
| 121. #339 | D47 | semidirect |
| 122. C47 | #1887 | semidirect |
| 165. C4⋊C4 | D188 | semidirect |
| 172. C42 | C4×D47 | semidirect |