Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
270 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 270 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. C2×#14556527 | C2 | semidirect |
| 3. #17988613 | C2 | semidirect |
| 6. #17988347 | C2 | semidirect |
| 7. #336×C73 | C2 | semidirect |
| 20. #14556516 | C4 | semidirect |
| 21. #14556516 | C4 | semidirect |
| 22. #14556513 | C4 | semidirect |
| 23. #14556513 | C4 | semidirect |
| 110. C73 | #1866 | semidirect |
| 117. #336 | D73 | semidirect |