Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
424 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 424 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 |
|---|---|---|
| 2. #17988900 | C2 | semidirect |
| 3. #17988882 | C2 | semidirect |
| 4. #17988787 | C2 | semidirect |
| 5. #17988726 | C2 | semidirect |
| 6. #17988685 | C2 | semidirect |
| 7. #17988644 | C2 | semidirect |
| 8. C2×C4×Q8×C73 | C2 | semidirect |
| 68. Q8×C73 | #41 | semidirect |
| 112. C73 | #3112 | semidirect |
| 114. C2×C4×Q8 | D73 | semidirect |
| 181. Q8 | #11924028 | semidirect |