Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#10625121 | C2 | semidirect |
| 2. C22×#67267 | C2 | semidirect |
| 3. #13092928 | C2 | semidirect |
| 4. #13092673 | C2 | semidirect |
| 5. #13092668 | C2 | semidirect |
| 6. #13092665 | C2 | semidirect |
| 7. #13092661 | C2 | semidirect |
| 8. #13092453 | C2 | semidirect |
| 9. #13092413 | C2 | semidirect |
| 10. #13092411 | C2 | semidirect |
| 11. C23×#525 | C2 | semidirect |
| 23. C2×#67275 | C22 | semidirect |
| 24. C2×#67274 | C22 | semidirect |
| 25. C2×#67273 | C22 | semidirect |
| 26. C2×#67272 | C22 | semidirect |
| 37. #10625017 | C22 | semidirect |
| 38. #10625014 | C22 | semidirect |
| 39. #10624992 | C22 | semidirect |
| 40. #10624991 | C22 | semidirect |
| 41. #10624990 | C22 | semidirect |
| 42. #10624989 | C22 | semidirect |
| 83. C2×C23⋊C8 | D4 | semidirect |
| 146. #525 | D23 | semidirect |
| 191. C23 | #3054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625121 | 2 |
| C22×#67267 | 2 |
| #13092928 | 2 |
| #13092673 | 2 |
| #13092668 | 2 |
| #13092665 | 2 |
| #13092661 | 2 |
| #13092453 | 2 |
| #13092413 | 2 |
| #13092411 | 2 |
| C23×#525 | 2 |
| #3054 | 23 |