Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
300 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 4. #13092373 | C2 | semidirect |
| 5. C2×C4×C23⋊C8 | C2 | semidirect |
| 6. #13092181 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 16. #10625078 | C4 | semidirect |
| 19. #10624992 | C4 | semidirect |
| 20. #10624991 | C4 | semidirect |
| 21. #10624987 | C4 | semidirect |
| 100. #339 | D23 | semidirect |
| 123. C23 | #1764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625078 | 2 |
| C2×#10624987 | 2 |
| #13092411 | 2 |
| #13092373 | 2 |
| C2×C4×C23⋊C8 | 2 |
| #13092181 | 2 |
| C23×#339 | 2 |
| #1764 | 23 |