Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
418 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 418 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. #13092900 | C2 | semidirect |
| 2. #13092738 | C2 | semidirect |
| 3. #13092738 | C2 | semidirect |
| 4. #13092733 | C2 | semidirect |
| 5. #13092728 | C2 | semidirect |
| 6. #13092460 | C2 | semidirect |
| 7. #13092453 | C2 | semidirect |
| 8. #13092422 | C2 | semidirect |
| 9. C2×#10625014 | C2 | semidirect |
| 10. #13092384 | C2 | semidirect |
| 24. #10625097 | C22 | semidirect |
| 26. C2×C4⋊Dic23 | C22 | semidirect |
| 33. C22⋊(C23⋊C8) | C22 | semidirect |
| 34. C22⋊(C23⋊C8) | C22 | semidirect |
| 35. #10624990 | C22 | semidirect |
| 36. #10624990 | C22 | semidirect |
| 37. #10624990 | C22 | semidirect |
| 38. #10624989 | C22 | semidirect |
| 39. #10624989 | C22 | semidirect |
| 40. #10624989 | C22 | semidirect |
| 175. C23 | #3096 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092900 | 2 |
| #13092738 | 2 |
| #13092733 | 2 |
| #13092728 | 2 |
| #13092460 | 2 |
| #13092453 | 2 |
| #13092422 | 2 |
| C2×#10625014 | 2 |
| #13092384 | 2 |
| C23×#535 | 2 |
| #3096 | 23 |