Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
418 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13092891 | C2 | semidirect |
| 2. #13092738 | C2 | semidirect |
| 3. #13092714 | C2 | semidirect |
| 4. #13092609 | C2 | semidirect |
| 5. #13092550 | C2 | semidirect |
| 6. #13092527 | C2 | semidirect |
| 7. C4×#67272 | C2 | semidirect |
| 8. #13092478 | C2 | semidirect |
| 9. C23×#540 | C2 | semidirect |
| 11. C23×#127 | C22 | semidirect |
| 12. C23×#125 | C22 | semidirect |
| 16. C4×D4×C23 | C22 | semidirect |
| 25. #10625014 | C22 | semidirect |
| 26. #10625014 | C22 | semidirect |
| 30. #10624990 | C22 | semidirect |
| 31. #10624989 | C22 | semidirect |
| 32. C4⋊(C23⋊C8) | C22 | semidirect |
| 33. #10624985 | C22 | semidirect |
| 34. C4×C23⋊C8 | C22 | semidirect |
| 104. #540 | D23 | semidirect |
| 121. #127 | C2×D23 | semidirect |
| 122. #125 | C2×D23 | semidirect |
| 129. C4×D4 | C2×D23 | semidirect |
| 143. C23 | #3122 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092891 | 2 |
| #13092738 | 2 |
| #13092714 | 2 |
| #13092609 | 2 |
| #13092550 | 2 |
| #13092527 | 2 |
| C4×#67272 | 2 |
| #13092478 | 2 |
| C23×#540 | 2 |
| #3122 | 23 |