Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13093183 | C2 | semidirect |
| 3. #13092433 | C2 | semidirect |
| 4. #13092423 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092188 | C2 | semidirect |
| 7. C23×#338 | C2 | semidirect |
| 19. C2×D184 | C4 | semidirect |
| 20. C2×#67263 | C4 | semidirect |
| 113. #338 | 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×#10625079 | 2 |
| #13093183 | 2 |
| #13092433 | 2 |
| #13092423 | 2 |
| C2×#10625005 | 2 |
| #13092188 | 2 |
| C23×#338 | 2 |
| #1903 | 23 |