Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 125 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. #13093048 | C2 | semidirect |
| 3. #13092780 | C2 | semidirect |
| 4. #13092778 | C2 | semidirect |
| 5. #13092773 | C2 | semidirect |
| 6. #13092762 | C2 | semidirect |
| 7. #13092423 | C2 | semidirect |
| 8. #13092413 | C2 | semidirect |
| 9. C2×#10624991 | C2 | semidirect |
| 10. #13092375 | C2 | semidirect |
| 11. C23×#417 | C2 | semidirect |
| 26. #10625061 | C22 | semidirect |
| 28. #10625059 | C22 | semidirect |
| 29. C23×#103 | C22 | semidirect |
| 30. C23×#102 | C22 | semidirect |
| 31. #10625017 | C22 | semidirect |
| 32. #10625017 | C22 | semidirect |
| 33. #10625014 | C22 | semidirect |
| 34. #10625014 | C22 | semidirect |
| 37. #10624997 | C22 | semidirect |
| 38. C8×Dic23 | C22 | semidirect |
| 137. #417 | D23 | semidirect |
| 166. #103 | C2×D23 | semidirect |
| 173. #102 | C2×D23 | semidirect |
| 176. C23 | #3136 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093048 | 2 |
| #13092981 | 2 |
| #13092780 | 2 |
| #13092778 | 2 |
| #13092773 | 2 |
| #13092762 | 2 |
| #13092423 | 2 |
| #13092413 | 2 |
| C2×#10624991 | 2 |
| #13092375 | 2 |
| C23×#417 | 2 |
| #3136 | 23 |