Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
280 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 65 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×#10625016 | C2 | semidirect |
| 3. #13092208 | C2 | semidirect |
| 4. #13092205 | C2 | semidirect |
| 5. C2×C23×#100 | C2 | semidirect |
| 7. C22×C22⋊D23 | C4 | semidirect |
| 11. C2×C22⋊Dic23 | C4 | semidirect |
| 14. #10625108 | C4 | semidirect |
| 16. #10625106 | C4 | semidirect |
| 25. C23×D23 | C2×C4 | semidirect |
| 41. C22×Dic23 | C2×C4 | semidirect |
| 50. C22⋊Dic23 | C2×C4 | semidirect |
| 51. C22⋊Dic23 | C2×C4 | semidirect |
| 119. C2×#100 | D23 | semidirect |
| 149. C23 | #2121 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092976 | 2 |
| C2×#10625016 | 2 |
| #13092208 | 2 |
| #13092205 | 2 |
| C2×C23×#100 | 2 |
| #2121 | 23 |