Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
404 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 139 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. #17989316 | C2 | semidirect |
| 2. #17988959 | C2 | semidirect |
| 3. #17988792 | C2 | semidirect |
| 4. #17988784 | C2 | semidirect |
| 5. Q8×#10596831 | C2 | semidirect |
| 6. C4×#11924016 | C2 | semidirect |
| 45. Q8×C73 | SD16 | semidirect |
| 60. #10596831 | #41 | semidirect |
| 77. C73 | #3392 | semidirect |
| 124. Q8 | #11924016 | semidirect |