Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 121 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×Q8×Dic23 | C2 | semidirect |
| 3. #13092753 | C2 | semidirect |
| 5. #13092726 | C2 | semidirect |
| 6. #13092637 | C2 | semidirect |
| 7. #13092573 | C2 | semidirect |
| 8. #13092521 | C2 | semidirect |
| 9. #13092518 | C2 | semidirect |
| 10. #13092471 | C2 | semidirect |
| 174. C23 | #3117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092948 | 2 |
| C2×Q8×Dic23 | 2 |
| #13092753 | 2 |
| #13092733 | 2 |
| #13092726 | 2 |
| #13092637 | 2 |
| #13092573 | 2 |
| #13092521 | 2 |
| #13092518 | 2 |
| #13092471 | 2 |
| C23×#448 | 2 |
| #3117 | 23 |