Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
232 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 232 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 |
|---|---|---|
| 8. #14556662 | C4 | semidirect |
| 9. #14556661 | C4 | semidirect |
| 10. #14556660 | C4 | semidirect |
| 11. #14556659 | C4 | semidirect |
| 17. C4×#10596831 | C4 | semidirect |
| 18. C8×Dic73 | C4 | semidirect |
| 19. C8×Dic73 | C4 | semidirect |
| 20. C4×C8×C73 | C4 | semidirect |
| 80. C73 | #1772 | semidirect |
| 100. C4×C8 | #64408 | semidirect |