Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. C2×#10625017 | C2 | semidirect |
| 4. C2×#10625018 | C2 | semidirect |
| 5. #13092185 | C2 | semidirect |
| 6. #13092181 | C2 | semidirect |
| 11. C23×#137 | C4 | semidirect |
| 127. #137 | Dic23 | semidirect |
| 144. C23 | #1908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625119 | 2 |
| #13092418 | 2 |
| C2×#10625017 | 2 |
| C2×#10625018 | 2 |
| #13092185 | 2 |
| #13092181 | 2 |
| C2×C23×#137 | 2 |
| #1908 | 23 |