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 |
| 2. #13092769 | C2 | semidirect |
| 3. #13092747 | C2 | semidirect |
| 4. #13092699 | C2 | semidirect |
| 5. #13092644 | C2 | semidirect |
| 6. #13092622 | C2 | semidirect |
| 7. #13092555 | C2 | semidirect |
| 8. C4×#67273 | C2 | semidirect |
| 9. D4×C23⋊C8 | C2 | semidirect |
| 10. C2×#10624992 | C2 | semidirect |
| 83. D4×C23 | SD16 | semidirect |
| 102. Dic46 | #41 | semidirect |
| 169. C23 | #3298 | semidirect |
| 217. D4 | #67273 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×Dic46 | 2 |
| #13092769 | 2 |
| #13092747 | 2 |
| #13092699 | 2 |
| #13092644 | 2 |
| #13092622 | 2 |
| #13092555 | 2 |
| C4×#67273 | 2 |
| D4×C23⋊C8 | 2 |
| C2×#10624992 | 2 |
| C23×#547 | 2 |
| #3298 | 23 |