Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
452 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 137 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. #15689921 | C2 | semidirect |
| 2. C2×#13094030 | C2 | semidirect |
| 3. #15689395 | C2 | semidirect |
| 4. #15689390 | C2 | semidirect |
| 5. #15689383 | C2 | semidirect |
| 6. C2×#13093960 | C2 | semidirect |
| 7. #15689107 | C2 | semidirect |
| 8. C2×#135×C47 | C2 | semidirect |
| 23. #13093960 | C22 | semidirect |
| 24. #13093960 | C22 | semidirect |
| 25. #13093943 | C22 | semidirect |
| 26. #13093941 | C22 | semidirect |
| 32. C2×Q16×C47 | C22 | semidirect |
| 33. C2×SD16×C47 | C22 | semidirect |
| 34. C2×D8×C47 | C22 | semidirect |
| 134. C2×#135 | D47 | semidirect |
| 141. C47 | #3067 | semidirect |
| 153. C2×Q16 | C2×D47 | semidirect |
| 154. C2×SD16 | C2×D47 | semidirect |
| 155. C2×D8 | C2×D47 | semidirect |