Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
414 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 414 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×#10625097 | C2 | semidirect |
| 2. #13092755 | C2 | semidirect |
| 3. #13092738 | C2 | semidirect |
| 4. #13092460 | C2 | semidirect |
| 5. #13092418 | C2 | semidirect |
| 6. #13092381 | C2 | semidirect |
| 22. #10625017 | C22 | semidirect |
| 23. #10625014 | C22 | semidirect |
| 25. #10624990 | C22 | semidirect |
| 26. #10624989 | C22 | semidirect |
| 121. C23 | #3093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625097 | 2 |
| #13092755 | 2 |
| #13092738 | 2 |
| #13092460 | 2 |
| #13092418 | 2 |
| #13092381 | 2 |
| C23×#525 | 2 |
| #3093 | 23 |