Finite Group DatabasebetaFinite Group DatabasebetaOrder 6016.
708 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 149 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×#13094057 | C2 | semidirect |
| 3. C2×#13094054 | C2 | semidirect |
| 4. C2×#13094024 | C2 | semidirect |
| 5. #15689307 | C2 | direct (N × H) |
| 6. C2×#13093952 | C2 | semidirect |
| 7. C2×#13093942 | C2 | semidirect |
| 8. C2×#104×C47 | C2 | semidirect |
| 22. #13094057 | C22 | semidirect |
| 24. #13094054 | C22 | semidirect |
| 31. #13094024 | C22 | semidirect |
| 33. #13093952 | C22 | semidirect |
| 34. #13093942 | C22 | semidirect |
| 38. #104×C47 | C22 | semidirect |
| 168. C2×C47 | #456 | semidirect |
| 177. C2×#104 | D47 | semidirect |
| 179. C47 | C2×#456 | semidirect |
| 208. #104 | C2×D47 | semidirect |
| 339. C2 | #15689307 | direct (N × H) |