Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
752 conjugacy classes of subgroups; only the 341 normal subgroups are shown.
This group has 752 conjugacy classes of subgroups — too many to draw. Only its 341 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 |
|---|---|---|
| 3. #13092268 | C2 | semidirect |
| 5. #13092263 | C2 | semidirect |
| 6. C42×Dic23 | C2 | semidirect |
| 7. C23×#376 | C2 | semidirect |
| 18. #10625043 | C4 | semidirect |
| 19. C42×D23 | C4 | semidirect |
| 34. C42×C23 | C2×C4 | semidirect |
| 36. Dic23⋊C4 | C2×C4 | semidirect |
| 40. C4×Dic23 | C2×C4 | semidirect |
| 58. C4×D23 | C42 | semidirect |
| 71. Dic23 | #117 | semidirect |
| 77. #376 | D23 | semidirect |
| 97. C23 | C4×#117 | semidirect |
| 116. C42 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625043 | 2 |
| C2×C42×D23 | 2 |
| #13092268 | 2 |
| #13092264 | 2 |
| #13092263 | 2 |
| C42×Dic23 | 2 |
| C23×#376 | 2 |
| C4×#117 | 23 |