Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
444 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13092891 | C2 | semidirect |
| 3. #13092423 | C2 | semidirect |
| 4. #13092421 | C2 | semidirect |
| 5. C2×#10625005 | C2 | semidirect |
| 6. #13092177 | C2 | semidirect |
| 7. C23×#339 | C2 | semidirect |
| 19. #10625045 | C4 | semidirect |
| 40. C2×D92 | C2×C4 | semidirect |
| 46. C4⋊C4×C23 | D4 | semidirect |
| 50. C42×C23 | C2×C4 | semidirect |
| 53. C4⋊Dic23 | D4 | semidirect |
| 115. #339 | D23 | semidirect |
| 138. C23 | #1887 | semidirect |
| 165. C4⋊C4 | D92 | semidirect |
| 172. C42 | C4×D23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625045 | 2 |
| #13092891 | 2 |
| #13092423 | 2 |
| #13092421 | 2 |
| C2×#10625005 | 2 |
| #13092177 | 2 |
| C23×#339 | 2 |
| #1887 | 23 |