Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 2. C2×#10625058 | C2 | semidirect |
| 4. #13092723 | C2 | semidirect |
| 5. #13092642 | C2 | semidirect |
| 6. #13092572 | C2 | semidirect |
| 8. #13092521 | C2 | semidirect |
| 9. #13092516 | C2 | semidirect |
| 10. #13092471 | C2 | semidirect |
| 11. C23×#484 | C2 | semidirect |
| 129. #484 | D23 | semidirect |
| 174. C23 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092953 | 2 |
| C2×#10625058 | 2 |
| #13092735 | 2 |
| #13092723 | 2 |
| #13092642 | 2 |
| #13092572 | 2 |
| #13092558 | 2 |
| #13092521 | 2 |
| #13092516 | 2 |
| #13092471 | 2 |
| C23×#484 | 2 |
| #3117 | 23 |