Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
214 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 214 conjugacy classes of subgroups — too many to draw. Only its 57 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. #13092796 | C2 | semidirect |
| 3. #13092709 | C2 | semidirect |
| 4. #13092165 | C2 | semidirect |
| 5. #13092147 | C2 | semidirect |
| 51. D4×C23 | Q16 | semidirect |
| 112. C23 | #1632 | semidirect |
| 142. D4 | #67275 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13093124 | 2 |
| #13092796 | 2 |
| #13092709 | 2 |
| #13092165 | 2 |
| #13092147 | 2 |
| D4⋊(C23⋊C8) | 2 |
| C23×#476 | 2 |
| #1632 | 23 |