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. #13092778 | C2 | semidirect |
| 5. #13092773 | C2 | semidirect |
| 6. #13092762 | C2 | semidirect |
| 7. #13092421 | C2 | semidirect |
| 8. #13092418 | C2 | semidirect |
| 9. C2×#10625003 | C2 | semidirect |
| 10. #13092372 | C2 | semidirect |
| 11. C23×#416 | C2 | semidirect |
| 24. #10625061 | C22 | semidirect |
| 25. #10625059 | C22 | semidirect |
| 29. C23×#103 | C22 | semidirect |
| 30. C23×#103 | C22 | semidirect |
| 31. C23×#102 | C22 | semidirect |
| 32. C23×#102 | C22 | semidirect |
| 33. #10625017 | C22 | semidirect |
| 34. #10625014 | C22 | semidirect |
| 37. #10624997 | C22 | semidirect |
| 38. C8×Dic23 | C22 | semidirect |
| 138. #416 | D23 | semidirect |
| 165. #103 | C2×D23 | semidirect |
| 166. #103 | C2×D23 | semidirect |
| 172. #102 | 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 |
|---|---|
| #13093045 | 2 |
| #13092981 | 2 |
| #13092780 | 2 |
| #13092778 | 2 |
| #13092773 | 2 |
| #13092762 | 2 |
| #13092421 | 2 |
| #13092418 | 2 |
| C2×#10625003 | 2 |
| #13092372 | 2 |
| C23×#416 | 2 |
| #3136 | 23 |