Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
482 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 131 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×#14556614 | C2 | semidirect |
| 2. C2×Q16×D73 | C2 | semidirect |
| 3. #17989249 | C2 | semidirect |
| 4. #17988971 | C2 | semidirect |
| 5. #17988829 | C2 | semidirect |
| 6. #17988824 | C2 | semidirect |
| 7. #17988809 | C2 | semidirect |
| 8. #17988752 | C2 | semidirect |
| 9. #17988727 | C2 | semidirect |
| 10. C8×D292 | C2 | semidirect |
| 11. C4×Q16×C73 | C2 | semidirect |
| 73. Q16×C73 | D4 | semidirect |
| 120. C2×D73 | #135 | semidirect |
| 137. C73 | #3285 | semidirect |
| 147. C4×Q16 | D73 | semidirect |
| 195. Q16 | D292 | semidirect |