Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
256 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13092471 | C2 | semidirect |
| 3. #13092467 | C2 | semidirect |
| 4. #13092141 | C2 | semidirect |
| 5. #13092140 | C2 | semidirect |
| 6. #13092140 | C2 | semidirect |
| 7. C23×#323 | C2 | semidirect |
| 119. #323 | D23 | semidirect |
| 146. C23 | #1469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625056 | 2 |
| #13092471 | 2 |
| #13092467 | 2 |
| #13092141 | 2 |
| #13092140 | 2 |
| C23×#323 | 2 |
| #1469 | 23 |