Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
462 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 462 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13093124 | C2 | semidirect |
| 2. #13092763 | C2 | semidirect |
| 3. #13092733 | C2 | semidirect |
| 4. #13092707 | C2 | semidirect |
| 5. #13092644 | C2 | semidirect |
| 6. #13092614 | C2 | semidirect |
| 7. #13092568 | C2 | semidirect |
| 8. C4×#67273 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. C2×#10625014 | C2 | semidirect |
| 22. C2×#67273 | C22 | semidirect |
| 23. C2×C4⋊Dic23 | C22 | semidirect |
| 24. #10625095 | C22 | semidirect |
| 25. C22×C23⋊C8 | C22 | semidirect |
| 28. #10625040 | C22 | semidirect |
| 29. C4×Dic46 | C22 | semidirect |
| 32. #10625014 | C22 | semidirect |
| 33. #10625014 | C22 | semidirect |
| 34. #10625014 | C22 | semidirect |
| 35. C22⋊(C23⋊C8) | C22 | semidirect |
| 36. #10624992 | C22 | semidirect |
| 37. #10624990 | C22 | semidirect |
| 38. #10624990 | C22 | semidirect |
| 39. C4⋊(C23⋊C8) | C22 | semidirect |
| 40. C4×C23⋊C8 | C22 | semidirect |
| 90. D4×C23 | SD16 | semidirect |
| 177. C23 | #3295 | semidirect |
| 230. D4 | #67273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| #13092763 | 2 |
| #13092733 | 2 |
| #13092707 | 2 |
| #13092644 | 2 |
| #13092614 | 2 |
| #13092568 | 2 |
| C4×#67273 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10625014 | 2 |
| D42×C23 | 2 |
| #3295 | 23 |