Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
270 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 65 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 |
|---|---|---|
| 4. #17988313 | C2 | semidirect |
| 5. #17988312 | C2 | semidirect |
| 6. #17988312 | C2 | semidirect |
| 7. #324×C73 | C2 | semidirect |
| 120. C73 | #1472 | semidirect |
| 127. #324 | D73 | semidirect |