Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
402 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. #17989144 | C2 | semidirect |
| 3. #17988992 | C2 | semidirect |
| 4. #17988960 | C2 | semidirect |
| 5. #17988938 | C2 | semidirect |
| 6. #17988934 | C2 | semidirect |
| 7. #17988833 | C2 | semidirect |
| 8. #17988689 | C2 | semidirect |
| 9. C4×M16×C73 | C2 | semidirect |
| 90. C8×C73 | #41 | semidirect |
| 113. C73 | #3182 | semidirect |
| 122. C4×M16 | D73 | semidirect |
| 203. C8 | #11924028 | semidirect |