Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
312 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 71 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. #17989700 | C2 | semidirect |
| 2. #17989700 | C2 | semidirect |
| 3. D4⋊#10596842 | C2 | semidirect |
| 6. C4⋊#10596842 | C22 | semidirect |
| 10. C4×#10596842 | C22 | semidirect |
| 37. C2×D292 | C8 | semidirect |
| 41. D4×D73 | C8 | semidirect |
| 44. C2×D4×C73 | C8 | semidirect |
| 105. C73 | #1478 | semidirect |
| 132. C2×D4 | #10596842 | semidirect |