Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 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. C4×#67288 | C2 | semidirect |
| 2. #13092738 | C2 | semidirect |
| 3. #13092699 | C2 | semidirect |
| 4. #13092694 | C2 | semidirect |
| 5. #13092614 | C2 | semidirect |
| 6. #13092609 | C2 | semidirect |
| 7. #13092560 | C2 | semidirect |
| 8. #13092527 | C2 | semidirect |
| 9. #13092517 | C2 | semidirect |
| 10. #13092474 | C2 | semidirect |
| 11. C23×#532 | C2 | semidirect |
| 109. D92 | #41 | semidirect |
| 114. Dic46 | #41 | semidirect |
| 139. #532 | D23 | semidirect |
| 187. C23 | #3115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#67288 | 2 |
| #13092738 | 2 |
| #13092699 | 2 |
| #13092694 | 2 |
| #13092614 | 2 |
| #13092609 | 2 |
| #13092560 | 2 |
| #13092527 | 2 |
| #13092517 | 2 |
| #13092474 | 2 |
| C23×#532 | 2 |
| #3115 | 23 |