Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 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. #13093142 | C2 | semidirect |
| 3. #13092767 | C2 | semidirect |
| 4. #13092766 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 6. #13092700 | C2 | semidirect |
| 8. #13092541 | C2 | semidirect |
| 95. Dic46 | SD16 | semidirect |
| 159. C23 | #3359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093142 | 2 |
| D4×Dic46 | 2 |
| #13092767 | 2 |
| #13092766 | 2 |
| #13092703 | 2 |
| #13092700 | 2 |
| #13092620 | 2 |
| #13092541 | 2 |
| SD16×Dic23 | 2 |
| C4×#67273 | 2 |
| C23×#461 | 2 |
| #3359 | 23 |