Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
324 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13092434 | C2 | semidirect |
| 3. #13092423 | C2 | semidirect |
| 4. C2×#10625005 | C2 | semidirect |
| 5. #13092189 | C2 | semidirect |
| 6. C23⋊#338 | C2 | semidirect |
| 7. C23×#568 | C2 | semidirect |
| 17. C2×#67274 | C4 | semidirect |
| 18. C2×#67272 | C4 | semidirect |
| 108. #568 | D23 | semidirect |
| 137. C23 | #1903 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625120 | 2 |
| #13092434 | 2 |
| #13092423 | 2 |
| C2×#10625005 | 2 |
| #13092189 | 2 |
| C23⋊#338 | 2 |
| C23×#568 | 2 |
| #1903 | 23 |