Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
368 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 368 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. C2×#10625016 | C2 | semidirect |
| 3. #13092209 | C2 | direct (N × H) |
| 4. C2×C23×#99 | C2 | semidirect |
| 8. C22×D92 | C4 | semidirect |
| 13. #10625111 | C4 | semidirect |
| 15. C2×C4×Dic23 | C4 | semidirect |
| 17. C23×#99 | C22 | semidirect |
| 19. #10625016 | C22 | semidirect |
| 42. C2×D92 | C2×C4 | semidirect |
| 48. C4×Dic23 | C2×C4 | semidirect |
| 114. C2×#99 | D23 | semidirect |
| 122. C2×C23 | #353 | semidirect |
| 139. #99 | C2×D23 | semidirect |
| 140. C23 | C2×#353 | semidirect |
| 239. C2 | #13092209 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625111 | 2 |
| C2×#10625016 | 2 |
| #13092209 | 2 |
| C2×C23×#99 | 2 |
| C2×#353 | 23 |