Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#10625004 | C2 | semidirect |
| 3. #13092427 | C2 | semidirect |
| 5. C2×#10625006 | C2 | semidirect |
| 6. #13092375 | C2 | semidirect |
| 15. C2×#67273 | C4 | semidirect |
| 132. C23 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#67273 | 2 |
| C2×#10625004 | 2 |
| #13092427 | 2 |
| #13092422 | 2 |
| C2×#10625006 | 2 |
| #13092375 | 2 |
| C2×C23×#100 | 2 |
| #1977 | 23 |