Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
350 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13093231 | C2 | semidirect |
| 2. #13093230 | C2 | semidirect |
| 3. #13092860 | C2 | semidirect |
| 4. #13092859 | C2 | semidirect |
| 5. #13092856 | C2 | semidirect |
| 6. #13092848 | C2 | semidirect |
| 7. #13092847 | C2 | semidirect |
| 8. C2×#10625011 | C2 | semidirect |
| 9. Q32×D23 | C2 | semidirect |
| 10. #13092835 | C2 | semidirect |
| 11. C23×#510 | C2 | semidirect |
| 124. #510 | D23 | semidirect |
| 164. C23 | #3417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093231 | 2 |
| #13093230 | 2 |
| #13092860 | 2 |
| #13092859 | 2 |
| #13092856 | 2 |
| #13092848 | 2 |
| #13092847 | 2 |
| C2×#10625011 | 2 |
| Q32×D23 | 2 |
| #13092835 | 2 |
| C23×#510 | 2 |
| #3417 | 23 |