Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 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 |
|---|---|---|
| 2. C22×#67275 | C2 | semidirect |
| 3. #13092991 | C2 | semidirect |
| 4. #13092576 | C2 | semidirect |
| 5. #13092571 | C2 | semidirect |
| 6. #13092427 | C2 | semidirect |
| 7. #13092413 | C2 | semidirect |
| 8. #13092385 | C2 | semidirect |
| 9. C2×C23×#137 | C2 | semidirect |
| 137. C2×#137 | D23 | semidirect |
| 177. C23 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625161 | 2 |
| C22×#67275 | 2 |
| #13092991 | 2 |
| #13092576 | 2 |
| #13092571 | 2 |
| #13092427 | 2 |
| #13092413 | 2 |
| #13092385 | 2 |
| C2×C23×#137 | 2 |
| #3011 | 23 |