Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
376 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 376 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. #17989218 | C2 | semidirect |
| 3. #17988893 | C2 | semidirect |
| 4. #17988890 | C2 | semidirect |
| 5. #17988881 | C2 | semidirect |
| 6. #17988866 | C2 | semidirect |
| 7. #17988627 | C2 | semidirect |
| 8. #17988613 | C2 | semidirect |
| 11. C2×#107×C73 | C2 | semidirect |
| 42. #11924028 | Q8 | semidirect |
| 124. C73 | #3083 | semidirect |
| 132. C2×#107 | D73 | semidirect |