Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
390 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 89 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. C22×#11924018 | C2 | semidirect |
| 4. C2×#14556514 | C2 | semidirect |
| 6. #17988342 | C2 | semidirect |
| 7. #391×C73 | C2 | semidirect |
| 126. C73 | #2015 | semidirect |
| 132. #391 | D73 | semidirect |