Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
360 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 3. M16×#64408 | C2 | semidirect |
| 4. #17989466 | C2 | semidirect |
| 13. #14556651 | C4 | semidirect |
| 18. #14556508 | C4 | semidirect |
| 19. #14556507 | C4 | semidirect |
| 20. #100×C73 | C4 | semidirect |
| 28. #11924037 | C2×C4 | semidirect |
| 40. #11924012 | C2×C4 | semidirect |
| 44. M16×C73 | C2×C4 | semidirect |
| 86. #64408 | #100 | direct (N × H) |
| 97. C73 | C4×#100 | semidirect |
| 115. #100 | #64408 | direct (N × H) |
| 135. M16 | C2×#64408 | semidirect |