Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
348 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 149 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. #17988995 | C2 | semidirect |
| 4. #17988994 | C2 | semidirect |
| 5. #17988988 | C2 | semidirect |
| 6. #17988987 | C2 | semidirect |
| 48. #11924012 | Q8 | semidirect |
| 72. M16×C73 | Q8 | semidirect |
| 125. C73 | #3166 | semidirect |
| 176. M16 | Dic146 | semidirect |