Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
308 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 308 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 |
|---|---|---|
| 1. #13092763 | C2 | semidirect |
| 2. #13092697 | C2 | semidirect |
| 3. #13092622 | C2 | semidirect |
| 4. #13092161 | C2 | semidirect |
| 5. D4⋊(C23⋊C8) | C2 | semidirect |
| 6. D4⋊(C23⋊C8) | C2 | semidirect |
| 17. #10625040 | C22 | semidirect |
| 22. C4⋊(C23⋊C8) | C22 | semidirect |
| 23. C4⋊(C23⋊C8) | C22 | semidirect |
| 24. C4×C23⋊C8 | C22 | semidirect |
| 68. D4×C23 | SD16 | semidirect |
| 134. C23 | #1639 | semidirect |
| 180. D4 | #67273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13092763 | 2 |
| #13092697 | 2 |
| #13092622 | 2 |
| #13092161 | 2 |
| D4⋊(C23⋊C8) | 2 |
| D42×C23 | 2 |
| #1639 | 23 |