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. C2×#10625113 | C2 | semidirect |
| 3. C22×#67275 | C2 | semidirect |
| 4. #13092577 | C2 | semidirect |
| 5. #13092572 | C2 | semidirect |
| 6. #13092425 | C2 | semidirect |
| 7. #13092411 | C2 | semidirect |
| 8. #13092384 | C2 | semidirect |
| 9. C23×#536 | C2 | semidirect |
| 139. #536 | 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 |
| C2×#10625113 | 2 |
| C22×#67275 | 2 |
| #13092577 | 2 |
| #13092572 | 2 |
| #13092425 | 2 |
| #13092411 | 2 |
| #13092384 | 2 |
| C23×#536 | 2 |
| #3011 | 23 |