Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
398 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 141 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. #13092714 | C2 | semidirect |
| 3. #13092714 | C2 | semidirect |
| 4. #13092704 | C2 | semidirect |
| 5. #13092694 | C2 | semidirect |
| 6. #13092457 | C2 | semidirect |
| 7. #13092453 | C2 | semidirect |
| 8. #13092444 | C2 | semidirect |
| 11. C23×#544 | C2 | semidirect |
| 14. C23×C4⋊Q8 | C22 | semidirect |
| 16. C23×#125 | C22 | semidirect |
| 33. #10624990 | C22 | semidirect |
| 34. #10624990 | C22 | semidirect |
| 35. #10624990 | C22 | semidirect |
| 36. #10624989 | C22 | semidirect |
| 37. #10624989 | C22 | semidirect |
| 38. #10624989 | C22 | semidirect |
| 39. C4⋊(C23⋊C8) | C22 | semidirect |
| 40. C4⋊(C23⋊C8) | C22 | semidirect |
| 47. C2×D92 | Q8 | semidirect |
| 120. #544 | D23 | semidirect |
| 140. C4⋊Q8 | C2×D23 | semidirect |
| 142. #125 | C2×D23 | semidirect |
| 165. C23 | #3081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092891 | 2 |
| #13092714 | 2 |
| #13092704 | 2 |
| #13092694 | 2 |
| #13092457 | 2 |
| #13092453 | 2 |
| #13092444 | 2 |
| #13092421 | 2 |
| C2×#10624991 | 2 |
| C23×#544 | 2 |
| #3081 | 23 |