Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
446 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 446 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. C2×#10625122 | C2 | semidirect |
| 2. C2×#10625122 | C2 | semidirect |
| 3. #13093184 | C2 | semidirect |
| 4. #13092690 | C2 | semidirect |
| 5. #13092678 | C2 | semidirect |
| 6. #13092465 | C2 | semidirect |
| 7. #13092401 | C2 | semidirect |
| 8. C2×#10625006 | C2 | semidirect |
| 26. C2×#67275 | C22 | semidirect |
| 28. C2×#67273 | C22 | semidirect |
| 33. #10625018 | C22 | semidirect |
| 34. #10625015 | C22 | semidirect |
| 35. #10625006 | C22 | semidirect |
| 36. #10625004 | C22 | semidirect |
| 179. C23 | #3069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625122 | 2 |
| #13093184 | 2 |
| #13092690 | 2 |
| #13092678 | 2 |
| #13092465 | 2 |
| #13092401 | 2 |
| C2×#10625006 | 2 |
| C23×#575 | 2 |
| #3069 | 23 |