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 |
|---|---|---|
| 1. #13093048 | C2 | semidirect |
| 3. #13092726 | C2 | semidirect |
| 4. #13092715 | C2 | semidirect |
| 5. #13092705 | C2 | semidirect |
| 6. #13092700 | C2 | semidirect |
| 7. #13092459 | C2 | semidirect |
| 8. C2×#10624990 | C2 | semidirect |
| 9. #13092445 | C2 | semidirect |
| 42. #41×C23 | Q8 | semidirect |
| 164. C23 | #3084 | semidirect |
| 166. #41 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093048 | 2 |
| #13092900 | 2 |
| #13092726 | 2 |
| #13092715 | 2 |
| #13092705 | 2 |
| #13092700 | 2 |
| #13092459 | 2 |
| C2×#10624990 | 2 |
| #13092445 | 2 |
| #13092413 | 2 |
| C23×#417 | 2 |
| #3084 | 23 |