Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13092721 | C2 | semidirect |
| 3. #13092714 | C2 | semidirect |
| 4. #13092709 | C2 | semidirect |
| 5. #13092694 | C2 | semidirect |
| 6. #13092460 | C2 | semidirect |
| 7. C2×#10624989 | C2 | semidirect |
| 8. #13092444 | C2 | semidirect |
| 11. C23×#544 | C2 | semidirect |
| 47. #67288 | Q8 | semidirect |
| 119. #544 | D23 | semidirect |
| 164. C23 | #3083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092897 | 2 |
| #13092721 | 2 |
| #13092714 | 2 |
| #13092709 | 2 |
| #13092694 | 2 |
| #13092460 | 2 |
| C2×#10624989 | 2 |
| #13092444 | 2 |
| #13092416 | 2 |
| #13092411 | 2 |
| C23×#544 | 2 |
| #3083 | 23 |