Finite Group DatabasebetaFinite Group DatabasebetaOrder 9344.
788 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 788 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×#14556670 | C2 | semidirect |
| 2. #17989568 | C2 | direct (N × H) |
| 3. C2×#14556650 | C2 | semidirect |
| 6. #14556670 | C22 | semidirect |
| 10. #14556650 | C22 | semidirect |
| 14. C2×#11924029 | C4 | semidirect |
| 16. C22×D292 | C4 | semidirect |
| 18. C22×C4×D73 | C4 | semidirect |
| 20. C22×Q8×C73 | C4 | semidirect |
| 37. C2×D292 | C2×C4 | semidirect |
| 44. C2×C4×D73 | C2×C4 | semidirect |
| 51. C2×Q8×C73 | C2×C4 | semidirect |
| 107. C2×C73 | #410 | semidirect |
| 113. C73 | C2×#410 | semidirect |
| 123. C22×Q8 | #64408 | semidirect |
| 142. C2×Q8 | C2×#64408 | semidirect |
| 223. C2 | #17989568 | direct (N × H) |