Finite Group DatabasebetaFinite Group DatabasebetaOrder 2944.
420 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 139 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. D4×Dic46 | C2 | semidirect |
| 3. #13092768 | C2 | semidirect |
| 4. #13092748 | C2 | semidirect |
| 5. #13092703 | C2 | semidirect |
| 6. #13092646 | C2 | semidirect |
| 7. #13092623 | C2 | semidirect |
| 8. #13092558 | C2 | semidirect |
| 9. C4×#67263 | C2 | semidirect |
| 10. C2×#10624998 | C2 | semidirect |
| 11. C8×D4×C23 | C2 | semidirect |
| 79. D4×C23 | SD16 | semidirect |
| 102. Dic46 | #41 | semidirect |
| 133. C8×D4 | D23 | semidirect |
| 169. C23 | #3298 | semidirect |
| 217. D4 | #67263 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic46 | 2 |
| #13093071 | 2 |
| #13092768 | 2 |
| #13092748 | 2 |
| #13092703 | 2 |
| #13092646 | 2 |
| #13092623 | 2 |
| #13092558 | 2 |
| C4×#67263 | 2 |
| C2×#10624998 | 2 |
| C8×D4×C23 | 2 |
| #3298 | 23 |