Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
232 conjugacy classes of subgroups; only the 40 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 40 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. C2×C4⋊#64408 | C4 | semidirect |
| 8. C2×C4×#64408 | C4 | semidirect |
| 9. #14556650 | C4 | semidirect |
| 13. #14556506 | C4 | semidirect |
| 15. #99×C73 | C4 | semidirect |
| 108. C73 | #1393 | semidirect |
| 123. #99 | #64408 | semidirect |