Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
256 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 72 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×#14556661 | C2 | semidirect |
| 2. #17989597 | C2 | semidirect |
| 4. #17989470 | C2 | semidirect |
| 16. #14556599 | C4 | semidirect |
| 17. #14556598 | C4 | semidirect |
| 19. #14556597 | C4 | semidirect |
| 24. #131×C73 | C4 | semidirect |
| 112. C73 | #1814 | semidirect |
| 124. #131 | #64408 | semidirect |