Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
504 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 1. C2×#13094047 | C2 | semidirect |
| 2. #15689792 | C2 | semidirect |
| 3. #15689498 | C2 | semidirect |
| 4. #15689359 | C2 | semidirect |
| 5. #15689356 | C2 | semidirect |
| 6. #15689321 | C2 | semidirect |
| 7. #15689268 | C2 | semidirect |
| 8. #15689267 | C2 | semidirect |
| 9. Q16×Dic47 | C2 | semidirect |
| 10. C8×C22⋊D47 | C2 | semidirect |
| 11. C2×#135×C47 | C2 | semidirect |
| 59. Q16×C47 | D4 | semidirect |
| 134. Dic47 | #135 | semidirect |
| 144. C2×#135 | D47 | semidirect |
| 154. C47 | #3287 | semidirect |
| 202. Q16 | C22⋊D47 | semidirect |