Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
402 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 2. #17988990 | C2 | semidirect |
| 3. #17988961 | C2 | semidirect |
| 4. #17988937 | C2 | semidirect |
| 5. #17988935 | C2 | semidirect |
| 6. #17988835 | C2 | semidirect |
| 7. #17988685 | C2 | semidirect |
| 8. C4×#11924012 | C2 | semidirect |
| 9. #533×C73 | C2 | semidirect |
| 90. #10596831 | #41 | semidirect |
| 113. C73 | #3182 | semidirect |
| 114. #533 | D73 | semidirect |