Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13093150 | C2 | semidirect |
| 2. #13092805 | C2 | semidirect |
| 3. #13092801 | C2 | semidirect |
| 4. #13092638 | C2 | semidirect |
| 5. #13092632 | C2 | semidirect |
| 6. #13092611 | C2 | semidirect |
| 7. #13092547 | C2 | semidirect |
| 8. #13092516 | C2 | semidirect |
| 9. C4×D8×C23 | C2 | semidirect |
| 112. C4×D8 | D23 | semidirect |
| 143. C23 | #3403 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093150 | 2 |
| #13092805 | 2 |
| #13092801 | 2 |
| #13092638 | 2 |
| #13092632 | 2 |
| #13092611 | 2 |
| #13092547 | 2 |
| #13092516 | 2 |
| C4×D8×C23 | 2 |
| #3403 | 23 |