Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13093140 | C2 | semidirect |
| 3. #13092767 | C2 | semidirect |
| 4. #13092757 | C2 | semidirect |
| 5. #13092698 | C2 | semidirect |
| 6. #13092655 | C2 | semidirect |
| 7. #13092578 | C2 | semidirect |
| 8. C4×#67274 | C2 | semidirect |
| 9. #13092482 | C2 | semidirect |
| 10. #13092412 | C2 | semidirect |
| 11. C23×#462 | C2 | semidirect |
| 127. #462 | D23 | semidirect |
| 166. C23 | #3302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093140 | 2 |
| #13093070 | 2 |
| #13092767 | 2 |
| #13092757 | 2 |
| #13092698 | 2 |
| #13092655 | 2 |
| #13092578 | 2 |
| C4×#67274 | 2 |
| #13092482 | 2 |
| #13092412 | 2 |
| C23×#462 | 2 |
| #3302 | 23 |