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. #13092967 | C2 | semidirect |
| 2. C4×#67288 | C2 | semidirect |
| 3. #13092742 | C2 | semidirect |
| 4. #13092703 | C2 | semidirect |
| 5. #13092698 | C2 | semidirect |
| 6. #13092618 | C2 | semidirect |
| 7. #13092613 | C2 | semidirect |
| 8. #13092564 | C2 | semidirect |
| 9. #13092530 | C2 | semidirect |
| 10. #13092519 | C2 | semidirect |
| 11. C23×#432 | C2 | semidirect |
| 107. D92 | #41 | semidirect |
| 114. Dic46 | #41 | semidirect |
| 149. #432 | 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 |
|---|---|
| #13092967 | 2 |
| C4×#67288 | 2 |
| #13092742 | 2 |
| #13092703 | 2 |
| #13092698 | 2 |
| #13092618 | 2 |
| #13092613 | 2 |
| #13092564 | 2 |
| #13092530 | 2 |
| #13092519 | 2 |
| C23×#432 | 2 |
| #3115 | 23 |