Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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. #17988939 | C2 | semidirect |
| 4. #17988891 | C2 | semidirect |
| 7. #17988797 | C2 | semidirect |
| 8. Q8×#10596831 | C2 | semidirect |
| 9. C4×#11924018 | C2 | semidirect |
| 11. #557×C73 | C2 | semidirect |
| 116. C73 | #3364 | semidirect |
| 117. #557 | D73 | semidirect |