Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
412 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 96 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. C4×C22⋊#64408 | C2 | semidirect |
| 3. #17989465 | C2 | semidirect |
| 7. #14556649 | C4 | direct (N × H) |
| 13. C2×#11924007 | C4 | semidirect |
| 14. C2×C22⋊Dic73 | C4 | semidirect |
| 16. C2×C4×Dic73 | C4 | semidirect |
| 17. C23×C4×C73 | C4 | semidirect |
| 20. C22⋊#64408 | C2×C4 | semidirect |
| 47. C23×C73 | C42 | semidirect |
| 70. C2×Dic73 | C42 | semidirect |
| 92. C4×C73 | #99 | semidirect |
| 104. C73 | C4×#99 | semidirect |
| 111. C23×C4 | #64408 | semidirect |
| 156. C23 | C4×#64408 | semidirect |
| 199. C4 | #14556649 | direct (N × H) |