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. #13093045 | C2 | semidirect |
| 3. #13092780 | C2 | semidirect |
| 4. #13092775 | C2 | semidirect |
| 5. #13092770 | C2 | semidirect |
| 6. #13092762 | C2 | semidirect |
| 7. #13092419 | C2 | semidirect |
| 8. #13092411 | C2 | semidirect |
| 9. C2×#10625014 | C2 | semidirect |
| 10. #13092375 | C2 | semidirect |
| 11. C23×#418 | C2 | semidirect |
| 24. #10625061 | C22 | semidirect |
| 25. #10625059 | C22 | semidirect |
| 33. #10625003 | C22 | semidirect |
| 34. #10624998 | C22 | semidirect |
| 35. #10624997 | C22 | semidirect |
| 36. C8×Dic23 | C22 | semidirect |
| 37. #10624992 | C22 | semidirect |
| 38. #10624992 | C22 | semidirect |
| 39. #10624991 | C22 | semidirect |
| 40. #10624991 | C22 | semidirect |
| 136. #418 | 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 |
|---|---|
| #13093045 | 2 |
| #13092984 | 2 |
| #13092780 | 2 |
| #13092775 | 2 |
| #13092770 | 2 |
| #13092762 | 2 |
| #13092419 | 2 |
| #13092411 | 2 |
| C2×#10625014 | 2 |
| #13092375 | 2 |
| C23×#418 | 2 |
| #3136 | 23 |