Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
224 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 69 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. #17989706 | C2 | semidirect |
| 2. C2×#14556686 | C2 | semidirect |
| 3. #17989688 | C2 | semidirect |
| 4. #17989687 | C2 | semidirect |
| 6. #14556688 | C22 | semidirect |
| 10. #14556686 | C22 | semidirect |
| 101. D73 | #350 | semidirect |
| 103. C73 | C2×#350 | semidirect |