Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#10625113 | C2 | semidirect |
| 2. C2×#10625122 | C2 | semidirect |
| 4. C22×#67275 | C2 | semidirect |
| 5. #13092993 | C2 | semidirect |
| 6. #13092812 | C2 | semidirect |
| 7. #13092809 | C2 | semidirect |
| 8. #13092799 | C2 | semidirect |
| 9. #13092796 | C2 | semidirect |
| 10. #13092373 | C2 | semidirect |
| 11. C23×#536 | C2 | semidirect |
| 144. #536 | D23 | semidirect |
| 186. C23 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10625113 | 2 |
| C2×#10625122 | 2 |
| C2×#10625121 | 2 |
| C22×#67275 | 2 |
| #13092993 | 2 |
| #13092812 | 2 |
| #13092809 | 2 |
| #13092799 | 2 |
| #13092796 | 2 |
| #13092373 | 2 |
| C23×#536 | 2 |
| #3156 | 23 |