Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
348 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 348 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. #13092817 | C2 | semidirect |
| 50. M16×C23 | Q8 | semidirect |
| 78. #67267 | Q8 | semidirect |
| 167. C23 | #3166 | semidirect |
| 176. M16 | Dic46 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092970 | 2 |
| C2×#10625061 | 2 |
| #13092825 | 2 |
| #13092824 | 2 |
| #13092818 | 2 |
| #13092817 | 2 |
| #13092460 | 2 |
| #13092459 | 2 |
| #13092457 | 2 |
| M16×Dic23 | 2 |
| C23×#428 | 2 |
| #3166 | 23 |