Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
146 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 46 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. #17989631 | C2 | semidirect |
| 2. #17989629 | C2 | semidirect |
| 3. #17989516 | C2 | semidirect |
| 4. #17989502 | C2 | semidirect |
| 5. #17989501 | C2 | semidirect |
| 6. C16×#64408 | C2 | semidirect |
| 18. #14556537 | C4 | semidirect |
| 19. #14556536 | C4 | semidirect |
| 20. #14556532 | C4 | semidirect |
| 22. SD32×C73 | C4 | semidirect |
| 72. C73 | #2178 | semidirect |
| 86. SD32 | #64408 | semidirect |