Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
350 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 123 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. #17989310 | C2 | semidirect |
| 2. #17989297 | C2 | semidirect |
| 3. #17988942 | C2 | semidirect |
| 4. #17988938 | C2 | semidirect |
| 5. #17988895 | C2 | semidirect |
| 6. #17988878 | C2 | semidirect |
| 8. #17988793 | C2 | semidirect |
| 9. C4×#11924017 | C2 | semidirect |
| 11. C8×Q8×C73 | C2 | semidirect |
| 121. C73 | #3360 | semidirect |
| 130. C8×Q8 | D73 | semidirect |