Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
404 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 133 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. #13093045 | C2 | semidirect |
| 2. #13092781 | C2 | semidirect |
| 3. #13092776 | C2 | semidirect |
| 4. #13092771 | C2 | semidirect |
| 5. #13092763 | C2 | semidirect |
| 6. #13092422 | C2 | semidirect |
| 7. #13092418 | C2 | semidirect |
| 8. #13092413 | C2 | semidirect |
| 9. C2×#10625014 | C2 | semidirect |
| 10. #13092373 | C2 | semidirect |
| 27. #10625041 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. #10625017 | C22 | semidirect |
| 30. #10625017 | C22 | semidirect |
| 31. #10625017 | C22 | semidirect |
| 36. #10625014 | C22 | semidirect |
| 37. #10625014 | C22 | semidirect |
| 38. #10625014 | C22 | semidirect |
| 39. #10624985 | C22 | semidirect |
| 40. C4×C23⋊C8 | C22 | semidirect |
| 176. C23 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093045 | 2 |
| #13092781 | 2 |
| #13092776 | 2 |
| #13092771 | 2 |
| #13092763 | 2 |
| #13092422 | 2 |
| #13092418 | 2 |
| #13092413 | 2 |
| C2×#10625014 | 2 |
| #13092373 | 2 |
| C23×#535 | 2 |
| #3136 | 23 |