Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
334 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #17988597 | C2 | semidirect |
| 5. #17988492 | C2 | semidirect |
| 6. #17988348 | C2 | semidirect |
| 7. #343×C73 | C2 | semidirect |
| 11. #14556624 | C4 | semidirect |
| 37. C2×Dic146 | C2×C4 | semidirect |
| 61. M16×C73 | C2×C4 | semidirect |
| 125. C73 | #1882 | semidirect |
| 131. #343 | D73 | semidirect |
| 177. M16 | C4×D73 | semidirect |