Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
390 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×C4×Dic146 | C2 | semidirect |
| 3. #17988918 | C2 | semidirect |
| 5. #17988895 | C2 | semidirect |
| 6. #17988810 | C2 | semidirect |
| 7. #17988745 | C2 | semidirect |
| 9. C4×Dic292 | C2 | semidirect |
| 10. C4×#11924017 | C2 | semidirect |
| 11. #431×C73 | C2 | semidirect |
| 132. C73 | #3108 | semidirect |
| 143. #431 | D73 | semidirect |