Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
280 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 7. #14556660 | C4 | direct (N × H) |
| 12. C4×#10596831 | C4 | semidirect |
| 13. C8×Dic73 | C4 | semidirect |
| 14. C8×Dic73 | C4 | semidirect |
| 15. C4×C8×C73 | C4 | semidirect |
| 49. C8×C73 | C42 | semidirect |
| 51. #10596831 | C42 | semidirect |
| 59. C4×C73 | #107 | semidirect |
| 63. Dic73 | #107 | semidirect |
| 71. C73 | C4×#107 | semidirect |
| 85. C4×C8 | #64408 | semidirect |
| 122. C8 | C4×#64408 | semidirect |
| 133. C4 | #14556660 | direct (N × H) |