Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#14556620 | C2 | semidirect |
| 2. Q8×D292 | C2 | semidirect |
| 4. #17988967 | C2 | semidirect |
| 5. #17988846 | C2 | semidirect |
| 6. #17988797 | C2 | semidirect |
| 7. #17988792 | C2 | semidirect |
| 8. #17988750 | C2 | semidirect |
| 9. #17988744 | C2 | semidirect |
| 10. #17988666 | C2 | semidirect |
| 11. C4×SD16×C73 | C2 | semidirect |
| 73. SD16×C73 | D4 | semidirect |
| 123. C4×C73 | #137 | semidirect |
| 135. C73 | #3276 | semidirect |
| 145. C4×SD16 | D73 | semidirect |
| 196. SD16 | D292 | semidirect |
| 261. C4 | #14556620 | semidirect |