Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13093218 | C2 | semidirect |
| 2. #13092853 | C2 | semidirect |
| 3. #13092851 | C2 | semidirect |
| 4. #13092849 | C2 | semidirect |
| 5. #13092846 | C2 | semidirect |
| 6. D16×D23 | C2 | semidirect |
| 7. #13092833 | C2 | semidirect |
| 8. C2×C23×D16 | C2 | semidirect |
| 10. C2×D8×C23 | C22 | semidirect |
| 12. #10625083 | C22 | semidirect |
| 14. D8×D23 | C22 | semidirect |
| 15. #10625075 | C22 | semidirect |
| 17. C23×D16 | C22 | semidirect |
| 18. C23×D16 | C22 | semidirect |
| 19. C2×C16×C23 | C22 | semidirect |
| 20. #10625009 | C22 | semidirect |
| 21. #10625008 | C22 | semidirect |
| 22. #10624994 | C22 | semidirect |
| 23. Dic184 | C22 | semidirect |
| 24. #10624982 | C22 | semidirect |
| 25. D368 | C22 | semidirect |
| 26. #10624980 | C22 | semidirect |
| 27. C16×D23 | C22 | semidirect |
| 86. C2×D16 | D23 | semidirect |
| 99. C2×D8 | C2×D23 | semidirect |
| 106. D16 | C2×D23 | semidirect |
| 107. D16 | C2×D23 | semidirect |
| 111. C2×C16 | C2×D23 | semidirect |
| 112. C23 | #3415 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093218 | 2 |
| #13092853 | 2 |
| #13092851 | 2 |
| #13092849 | 2 |
| #13092846 | 2 |
| D16×D23 | 2 |
| #13092833 | 2 |
| C2×C23×D16 | 2 |
| #3415 | 23 |