Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
376 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 145 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. #13092725 | C2 | semidirect |
| 4. #13092713 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 42. C2×Dic46 | Q8 | semidirect |
| 139. C23 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092974 | 2 |
| C2×C4×Dic46 | 2 |
| #13092725 | 2 |
| #13092713 | 2 |
| #13092703 | 2 |
| #13092459 | 2 |
| #13092427 | 2 |
| C23×#423 | 2 |
| #3078 | 23 |