Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
346 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #13092892 | C2 | semidirect |
| 2. #13092434 | C2 | semidirect |
| 3. #13092422 | C2 | semidirect |
| 4. #13092391 | C2 | semidirect |
| 5. #13092188 | C2 | semidirect |
| 6. #13092174 | C2 | semidirect |
| 12. C2×SD16×C23 | C4 | semidirect |
| 13. C2×D8×C23 | C4 | semidirect |
| 30. C2×Q8×C23 | C2×C4 | semidirect |
| 36. C2×D4×C23 | C2×C4 | semidirect |
| 46. C2×C8×C23 | C2×C4 | semidirect |
| 127. C2×SD16 | Dic23 | semidirect |
| 128. C2×D8 | Dic23 | semidirect |
| 140. C23 | #1904 | semidirect |
| 146. C2×Q8 | C2×Dic23 | semidirect |
| 152. C2×D4 | C2×Dic23 | semidirect |
| 165. C2×C8 | C2×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092892 | 2 |
| #13092434 | 2 |
| #13092422 | 2 |
| #13092391 | 2 |
| #13092188 | 2 |
| #13092174 | 2 |
| C2×C23×AGL(1,ℤ/8) | 2 |
| #1904 | 23 |