Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
700 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 700 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 |
|---|---|---|
| 2. C2×#14556622 | C2 | semidirect |
| 3. #17989161 | C2 | semidirect |
| 4. #17988748 | C2 | semidirect |
| 5. #17988741 | C2 | semidirect |
| 6. #17988596 | C2 | semidirect |
| 7. #17988584 | C2 | semidirect |
| 8. #17988553 | C2 | semidirect |
| 9. C22×Q16×C73 | C2 | semidirect |
| 141. C73 | #3011 | semidirect |
| 144. C22×Q16 | D73 | semidirect |