Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
340 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 149 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. #13092825 | C2 | semidirect |
| 4. #13092824 | C2 | semidirect |
| 5. #13092818 | C2 | semidirect |
| 6. #13092814 | C2 | semidirect |
| 46. M16×C23 | Q8 | semidirect |
| 70. C2×C23⋊C8 | Q8 | semidirect |
| 153. C23 | #3163 | semidirect |
| 159. M16 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093048 | 2 |
| #13093045 | 2 |
| #13092825 | 2 |
| #13092824 | 2 |
| #13092818 | 2 |
| #13092814 | 2 |
| #13092459 | 2 |
| #13092453 | 2 |
| C2×#10624990 | 2 |
| #13092375 | 2 |
| C23×#428 | 2 |
| #3163 | 23 |