Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
756 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 202 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. C2×D73⋊M16 | C2 | semidirect |
| 2. #17989573 | C2 | direct (N × H) |
| 3. C2×#14556652 | C2 | semidirect |
| 4. C2×#14556651 | C2 | semidirect |
| 8. D73⋊M16 | C22 | semidirect |
| 11. #14556652 | C22 | semidirect |
| 12. #14556651 | C22 | semidirect |
| 135. C2×C73 | #413 | semidirect |
| 140. C73 | C2×#413 | semidirect |
| 277. C2 | #17989573 | direct (N × H) |