Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
396 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 396 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. #13093089 | C2 | semidirect |
| 2. #13092783 | C2 | semidirect |
| 3. #13092765 | C2 | semidirect |
| 4. #13092714 | C2 | semidirect |
| 5. #13092704 | C2 | semidirect |
| 6. #13092612 | C2 | semidirect |
| 7. #13092612 | C2 | semidirect |
| 8. #13092548 | C2 | semidirect |
| 9. #13092527 | C2 | semidirect |
| 10. C4×#67272 | C2 | semidirect |
| 11. C23×#554 | C2 | semidirect |
| 80. D4×C23 | #41 | semidirect |
| 124. #554 | D23 | semidirect |
| 170. C23 | #3366 | semidirect |
| 218. D4 | #67292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093089 | 2 |
| #13092783 | 2 |
| #13092765 | 2 |
| #13092714 | 2 |
| #13092704 | 2 |
| #13092612 | 2 |
| #13092548 | 2 |
| #13092527 | 2 |
| C4×#67272 | 2 |
| C23×#554 | 2 |
| #3366 | 23 |