Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
380 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 1. #13092892 | C2 | semidirect |
| 2. C2×#10625016 | C2 | semidirect |
| 3. C2×#10625016 | C2 | semidirect |
| 4. #13092183 | C2 | semidirect |
| 9. C23×#123 | C4 | semidirect |
| 12. C23×#120 | C4 | semidirect |
| 21. C24×C23 | C2×C4 | semidirect |
| 34. C22×C4×C23 | C2×C4 | semidirect |
| 43. C22⋊C4×C23 | C2×C4 | semidirect |
| 48. C22⋊Dic23 | D4 | semidirect |
| 121. #123 | Dic23 | semidirect |
| 124. #120 | Dic23 | semidirect |
| 133. C23 | #1913 | semidirect |
| 134. C24 | C2×Dic23 | semidirect |
| 150. C22×C4 | C2×Dic23 | semidirect |
| 162. C22⋊C4 | C2×Dic23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092892 | 2 |
| C2×#10625016 | 2 |
| #13092183 | 2 |
| C23×#534 | 2 |
| #1913 | 23 |