Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
466 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 137 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. #13093217 | C2 | semidirect |
| 2. C2×#10625079 | C2 | semidirect |
| 3. C2×#10625079 | C2 | semidirect |
| 4. #13093183 | C2 | semidirect |
| 5. #13092688 | C2 | semidirect |
| 6. #13092681 | C2 | semidirect |
| 7. #13092399 | C2 | semidirect |
| 8. C2×#10625005 | C2 | semidirect |
| 9. C23×#430 | C2 | semidirect |
| 18. #10625080 | C22 | semidirect |
| 24. #10625079 | C22 | semidirect |
| 29. C2×D184 | C22 | semidirect |
| 31. C2×#67263 | C22 | semidirect |
| 32. #10625072 | C22 | semidirect |
| 33. C23×#108 | C22 | semidirect |
| 34. #10625006 | C22 | semidirect |
| 35. #10625005 | C22 | semidirect |
| 36. #10625005 | C22 | semidirect |
| 147. #430 | D23 | semidirect |
| 180. #108 | C2×D23 | semidirect |
| 184. C23 | #3068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093217 | 2 |
| C2×#10625079 | 2 |
| #13093183 | 2 |
| #13092688 | 2 |
| #13092681 | 2 |
| #13092399 | 2 |
| C2×#10625005 | 2 |
| C23×#430 | 2 |
| #3068 | 23 |