Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
440 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13092970 | C2 | semidirect |
| 3. #13092719 | C2 | semidirect |
| 4. #13092715 | C2 | semidirect |
| 5. #13092705 | C2 | semidirect |
| 6. #13092695 | C2 | semidirect |
| 7. #13092460 | C2 | semidirect |
| 8. #13092459 | C2 | semidirect |
| 9. #13092440 | C2 | semidirect |
| 25. #10625061 | C22 | semidirect |
| 26. #10625061 | C22 | semidirect |
| 27. #10625059 | C22 | semidirect |
| 28. #10625059 | C22 | semidirect |
| 37. #10625000 | C22 | semidirect |
| 38. #10624999 | C22 | semidirect |
| 39. Dic23⋊C8 | C22 | semidirect |
| 40. Dic23⋊C8 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 46. C2×D4×C23 | Q8 | semidirect |
| 181. C23 | #3077 | semidirect |
| 187. C2×D4 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| C2×D4×Dic23 | 2 |
| #13092719 | 2 |
| #13092715 | 2 |
| #13092705 | 2 |
| #13092695 | 2 |
| #13092460 | 2 |
| #13092459 | 2 |
| #13092440 | 2 |
| #13092422 | 2 |
| C23×#418 | 2 |
| #3077 | 23 |