Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
320 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 117 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 |
|---|---|---|
| 3. M16×Dic73 | C2 | semidirect |
| 4. #17988433 | C2 | semidirect |
| 5. #17988348 | C2 | semidirect |
| 6. #17988347 | C2 | semidirect |
| 9. Q8×Dic73 | C4 | semidirect |
| 11. D4×Dic73 | C4 | semidirect |
| 17. #14556518 | C4 | semidirect |
| 24. #104×C73 | C4 | semidirect |
| 29. #11924012 | C2×C4 | semidirect |
| 39. C4×Dic73 | C2×C4 | semidirect |
| 53. M16×C73 | C2×C4 | semidirect |
| 56. C42×C73 | C2×C4 | semidirect |
| 107. C73 | #1759 | semidirect |
| 128. #104 | Dic73 | semidirect |
| 148. M16 | C2×Dic73 | semidirect |
| 163. C42 | C2×Dic73 | semidirect |