Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
592 conjugacy classes of subgroups; only the 298 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 298 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. #17989551 | C2 | direct (N × H) |
| 4. C2×#14556646 | C2 | semidirect |
| 5. C2×C4×#10596833 | C2 | semidirect |
| 7. C2×#11924037 | C4 | semidirect |
| 9. C22×#10596833 | C4 | semidirect |
| 14. #14556646 | C22 | semidirect |
| 15. C4×#10596833 | C22 | semidirect |
| 23. #11924037 | C2×C4 | semidirect |
| 27. C2×#10596833 | C2×C4 | semidirect |
| 78. C2×C73 | #405 | semidirect |
| 82. C73 | C2×#405 | semidirect |
| 160. C2 | #17989551 | direct (N × H) |