Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
520 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 133 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×#10625083 | C2 | semidirect |
| 2. C22×C8×D23 | C2 | semidirect |
| 3. #13092927 | C2 | semidirect |
| 4. #13092659 | C2 | semidirect |
| 5. #13092658 | C2 | semidirect |
| 6. #13092650 | C2 | semidirect |
| 7. #13092645 | C2 | semidirect |
| 8. #13092644 | C2 | semidirect |
| 9. #13092454 | C2 | semidirect |
| 10. #13092410 | C2 | semidirect |
| 11. C23×#466 | C2 | semidirect |
| 14. C2×D8×C23 | C22 | semidirect |
| 20. C2×#67273 | C22 | semidirect |
| 24. C2×Dic92 | C22 | semidirect |
| 34. C23×#107 | C22 | semidirect |
| 35. C23×#102 | C22 | semidirect |
| 36. #10625014 | C22 | semidirect |
| 37. #10625000 | C22 | semidirect |
| 38. #10624998 | C22 | semidirect |
| 39. #10624992 | C22 | semidirect |
| 40. #10624990 | C22 | semidirect |
| 80. C8×D23 | D4 | semidirect |
| 122. C22×C23 | #135 | semidirect |
| 130. C2×D23 | #135 | semidirect |
| 145. #466 | D23 | semidirect |
| 162. C2×D8 | C2×D23 | semidirect |
| 180. #107 | C2×D23 | semidirect |
| 185. #102 | C2×D23 | semidirect |
| 186. C23 | #3050 | semidirect |
| 274. C22 | #10625083 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625083 | 2 |
| C22×C8×D23 | 2 |
| #13092927 | 2 |
| #13092659 | 2 |
| #13092658 | 2 |
| #13092650 | 2 |
| #13092645 | 2 |
| #13092644 | 2 |
| #13092454 | 2 |
| #13092410 | 2 |
| C23×#466 | 2 |
| #3050 | 23 |